0.6 gives the value of green cars 120 that is not possible in the problem, 0.6 can not be the probability of selected green car.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given:
total cars= 200
white cars= 100
red cars = 30
silver cars = 20
occupied space = 50+30+20 = 100
remaining space= 200- 100= 100
let number of green car in parking lot is 'x'
check every given probability of selecting a green car with x
according to question x <=(less than or equals to)100
p(prob. of green car) = x/200
a) 0.2
p=0.2
x/200= 0.2
x=0.2*200 = 40
b) 0
p=0
x/200=0
x= 0*200= 0
c) 0.1
p= 0.1
x/200 = 0.1
x= 0.1*200 = 20
d) 0.6
p = 0.6
x/200 = 0.6
x =0.6 * 200 =120
e) 0.5
p = 0.5
x/200 = 0.5
x= 0.5*200 = 100
Hence, 0.6 gives the value of green cars 120 that is not possible in the problem, 0.6 can not be the probability of selected green car.
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when the first 10 prime numbers are mutiplied toether how many zeros follow the rightmost nonzero digit
The product of first ten prime number is 6.67*10^9 and the number of zeros are nine.
A zero is formed by the product of 2 and 5. Thus, to find the number of zeroes, we have to find the number of 2s and 5s in 10! We see that there are 8 twos and 2 fives. Since forming a 0 requires a 2 and a 5, only 2 zeroes will be there at the end of 10!
The first 10 primes are: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29
The multiplication of these number is 2*3*5*7*11*13*17*19=~10*50*100*200*667=10^7*667=6.67*10^9
The number of zeros are nine.
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Need a answer on this question thanks.
Clarice did not verified the answer to verify the check should be 5×[tex]1\frac{1}{2}[/tex] = [tex]7\frac{1}{2}[/tex]
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
[tex]7\frac{1}{2}[/tex]÷[tex]1\frac{1}{2}[/tex]
15/2÷3/2
When fraction is divided by fraction the denominator turns to reciprocal and multiplied with numerator
15/2×2/3=5
Clarice did not verified the answer
5×[tex]1\frac{1}{2}[/tex] should be equal to [tex]7\frac{1}{2}[/tex]
Hence, Clarice did not verified the answer to verify the check should be 5×[tex]1\frac{1}{2}[/tex] = [tex]7\frac{1}{2}[/tex]
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Show transcribed dataFind the characteristic polynomial of A. Use x for the variable in your polynomial. You do not need to factor your polynomial 12 - 10 0 A = 9 -7 0 0 02 characteristic polynomial of A is: 0
The characteristic polynomial x³ - 7x² + 16x - 12 The characteristic polynomial of a square matrix in linear algebra is a polynomial that is invariant under matrix similarity and has the eigenvalues as roots.
Its coefficients include the determinant and the trace of the matrix.
Characteristic polynomial of a 3×3 matrix A is given by ; x³ - trace(A)x² + (A11 + A22 + A33 )x - determinant(A)
Where Aii is the determinant of the matrix obtained by deleting i th row and i th column.
Here trace(A) = sum of the diagonals = 12 - 7 + 2 = 7
A11 = -7 × 2 = -14
A22 = 2 × 12 = 24
A33 = ( 12×-7) - (-10×9) = 6
Determinant(A) = 12(-7×2 - 0) + 10(2×9 - 0) = 12
Substituting these values in above equation , we obtain;
x³ - 7x² + (-14 + 24 + 6)x - 12 = x³ - 7x² + 16x - 12.
Hence x³ - 7x² + 16x - 12 is the characteristic polynomial of A.
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A local hamburger so sold a combined total of 723 hamburgers and cheeseburgers on Sunday. There were 73 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?
Answer: 325
Step-by-step explanation:
723 -73 =650 divided by 2
Hope this helps
Describe how to organize 100 toothpicks in a way that fits with the structure of the base ten system. Explain how your organization reflects the structure of the base ten system and how it fits with the way we write the number 100.
The way to organize 100 toothpicks in a way that fits with the structure of the base ten system as well as how your organization reflects the structure of the base ten system and others is given below.
Put all the toothpicks in bundles of ten first. After that, combine those 10 bundles of 10 into one bundle. The base-ten system is built on this recurrent bundling in groups of ten. The huge bundle of 10 bundles of 10 represents the 1 in 100.How do you explain base-ten?According to the base-10 system, each digit of a number can, depending on its position, have an integer value ranging from 0 to 9 (10 possibilities). Powers of 10 are used to determine the locations or positions of the numbers. The term "base-10" refers to a system of numbers where each place is 10 times the value to its right.
Since we have 10 fingers, we employ the base 10 system. Since base 10 only uses the numerals 0 through 9 for its ten digits, students start to realize that there are only 0-9 digits in each place value.
Therefore, This becomes very vital while adding and subtracting since, depending on the operation, if we have a digit larger than 9, we must either regroup or ungroup to make it less than 10.
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Evaluate the surface integral. S (x + y + z) dS, S is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 + 2u + v, 0 ≤ u ≤ 8, 0 ≤ v ≤ 6.
After solving, the surface integral S is [tex]\int\int_{S}(x + y + z) dS[/tex] = 960√14.
In the given question, we have to evaluate the surface integral.
(x + y + z) dS, S is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 + 2u + v, 0 ≤ u ≤ 8, 0 ≤ v ≤ 6.
Now the surface integral is:
[tex]\int\int_{S}(x + y + z) dS[/tex]
x = u+v, y = u−v, z = 1+2u+v, 0 ≤ u ≤ 8, 0 ≤ v ≤ 6
The parametric curve is
r(u,v) = <u+v, u−v, 1+2u+v>
Then surface integral is calculated as
[tex]\int\int_{S}(x + y + z) dS=\int\int_{A}f(x(u,v), y(u,v), z(u,v))|r_{u}\times r_{v}| dudv[/tex]
Now find partial derivatives of parametric curve with respect to u and v
[tex]r_{u}[/tex](u,v) = <1, 1, 2>
[tex]r_{v}[/tex](u,v) = <1, -1, 1>
Now find cross product
[tex]r_{u}\times r_{u}[/tex] = <1, 1, 2> × <1, -1, 1>
[tex]r_{u}\times r_{u}[/tex] = <1+2, 2-1, -1-1>
[tex]r_{u}\times r_{u}[/tex] = <3, 1, -2>
Now parametric function is
x+y+z = u+v+u-v+1+2u+v
x+y+z = 4u+v+1
Then the surface integral is:
[tex]\int\int_{S}(x + y + z) dS=\int^{6}_{0}\int^{8}_{0}(4u+v+1)\sqrt{14}dudv[/tex]
[tex]\int\int_{S}(x + y + z) dS=\sqrt{14}\int^{6}_{0}(4\frac{u^2}{2}+uv+u)^{8}_{0}dv[/tex]
[tex]\int\int_{S}(x + y + z) dS=\sqrt{14}\int^{6}_{0}[(4\frac{(8)^2}{2}+8v+8)-(4\frac{(0)^2}{2}+0\cdotv+0)]dv[/tex]
[tex]\int\int_{S}(x + y + z) dS=\sqrt{14}\int^{6}_{0}(128+8v+8)dv[/tex]
[tex]\int\int_{S}(x + y + z) dS=\sqrt{14}\int^{6}_{0}(136+8v)dv[/tex]
[tex]\int\int_{S}(x + y + z) dS=\sqrt{14}(136v+8\frac{v^2}{2})^{6}_{0}[/tex]
[tex]\int\int_{S}(x + y + z) dS=\sqrt{14}[(136\times6+8\frac{6^2}{2})-(136\times0+8\frac{0^2}{2})][/tex]
[tex]\int\int_{S}(x + y + z) dS[/tex] = √14×(816+144)
[tex]\int\int_{S}(x + y + z) dS[/tex] = 960√14
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Which is correct Pemdas or Bodmas?
Both abbreviations are correct:
PEMDAS stands for:
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionBODMAS stands for:
BracketsOrdersDivisionMultiplicationAdditionSubtractionWhich is correct: Pemdas or Bodmas?PEMDAS and BODMAS are both mathematical acronyms that are used to help people remember the order of operations when solving a math problem.
The order of operations should be followed when solving an equation because it ensures that the problem is solved correctly and accurately. It is important to remember that both acronyms represent the same order of operations, and that each step should be followed in the order given.
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PEMDAS stands for
Parenthesis
Exponents
Multiplication and Division
Addition and Subtraction
BODMAS stands for
Bracket
Orders
Division and Multiplication
Addition and Subtraction
Both of these are the same, just a different acronym and way of representing them.
A three-sided fence is to be built next to a straight section of river, which forms the fourth side of a
rectangular region. The enclosed area is to equal 128 m². Find the minimum perimeter and the
dimensions of the corresponding enclosure.
Answer:
perimeter: 32 mdimensions: 16 m parallel to the river; 8 m wideStep-by-step explanation:
You want the length of the minimum perimeter fence to enclose 3 sides of a rectangular area of 128 m² with one side of the enclosure provided by a river. You also want the enclosure dimensions.
PerimeterIf x represents the dimension of the enclosure parallel to the river, then the other dimension of the enclosure is found from ...
A = LW
128 = x·W
W = 128/x
There will be two sides of this length, so the perimeter is ...
P = L +2W = x +2(128/x)
P = x + 256/x
MinimumThis has an extreme value (minimum) where its derivative is zero:
dP/dx = 0 = 1 -256/x²
Solving for x gives ...
x² = 256
x = √256 = 16
and the perimeter is ...
P = 16 +256/16 = 32
The other dimension is 128/16 = 8.
The minimum perimeter is 32 meters; the enclosure is 16 by 8 meters.
__
Additional comment
This can be solved without using derivatives by working the reverse problem: the largest area for a given perimeter.
Using the same definition of x, the area in terms of perimeter is ...
A = x · (P -x)/2
This is a quadratic equation with a maximum halfway between its zeros at x=0 and x=P. So, the value of x for maximum area is x = P/2. That area is ...
A = (P/2)(P -P/2)/2 = (P/2)(P/4) = P²/8
Or, the minimum perimeter for a given area is ...
P = √(8A)
In this problem, that is ...
P = √(8·128) = √1024 = 32
The dimensions of the enclosure are (P/2)×(P/4) = 16×8.
Please help! It’s really hard
Using the given ratio we can see that there are 27 units of potassium on the sample.
How much potassium does the sample have?We know that the ratio of nitrogen to potassium in a sample of soil is 12:9.
So for each 12 units of nitrogen, we have 9 units of potassium.
So if we have N units of nitrogen, the units of potassium are given by:
P = N*(9/12)
In that sample, we have 36 units of nitrogen, using the formula written above we will get:
P = 36*(9/12) = 27
There are 27 units of potassium on the sample.
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Help me on this plsss
Answer:
First blank: 90° Second blank: 12
Step-by-step explanation:
The two shapes have a ratio of 4:1, and have the same angles.
This means that if m∠B = 90°, then m∠D = 90°.
Because the shape ratio is 4:1 (16:4 simplified) we can use this to find out 48:? 48/4 = 12
Which of the following is an example of bandwagon technique? a. Are you tired of thinking up new gifts every time you get a party invitation? b. Don't be the only person without a great gift at the next baby shower. c. Eleanor Roosevelt once complained about thinking of unique gifts.
Option B.
Don't be the only person without a great gift at the next baby shower.
What is the bandwagon technique?
It is a psychological phenomenon whereby the rate of uptake of beliefs, ideas, fads and trends increases with respect to the proportion of others who have already done so. As more people come to believe in something, others also "hop on the bandwagon" regardless of the underlying evidence.
Below are some examples of the Bandwagon Effect: Diets: When it seems like everyone is adopting a certain fad diet, people become more likely to try the diet themselves. Elections: People are more likely to vote for the candidate that they think is winning.
Hence , Don't be the only person without a great gift at the next baby shower is the correct answer .
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4 is multipled by the difference of 5 and a number
The value of the equation 4 is multiplied by the difference of 5 and a number is A = 20 - 4n
where n is the number
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as n
Let the equation be A
Now , the value of A is
4 is multiplied by the difference of 5 and a number is
Substituting the values in the equation , we get
A = 4 ( 5 - n )
where n is the number
On simplifying the equation , we get
The value of A = 4 ( 5 ) - 4 ( n )
The value of A = 20 - 4n
Therefore , the value of equation A is A = 20 - 4n
Hence , The value of the equation 4 is multiplied by the difference of 5 and a number is A = 20 - 4n , where n is the number
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show that cos4(t)+4cos2(t)=8cos^4(t)-3
Explanation:
You want to show cos(4t) +4cos(2t) = 8cos⁴(t).
Double-angle identityUse the cosine double-angle identity:
cos(2t) = cos²(t) -sin²(t) = cos²(t) -(1 -cos²(t)) = 2cos²(t) -1
Then
cos(4t) = 2cos²(2t) -1 = 2(2cos²(t) -1)² -1 = 2(4cos⁴(t) -4cos²(t) +1) -1
= 8cos⁴(t) -8cos²(t) +1
ApplicationSubstituting these expressions into the left side of the identity of interest, we have ...
cos(4t) +4cos(2t) = 8cos⁴(t) -3 . . . . . . . . . . . . . . . . . . identity to prove
(8cos⁴(t) -8cos²(t) +1) +4(2cos²(t) -1) = 8cos⁴(t) -3 . . . substitute
8cos⁴(t) -8cos²(t) +1 +8cos²(t) -4 = 8cos⁴(t) -3 . . . . . eliminate parentheses
8cos⁴(t) -3 = 8cos⁴(t) -3 . . . . . . combine like terms; Q.E.D.
which of the following is a polynomial in x? . x+1/x
b. x² + x
c. x + √2x² + 1
d. √3x + 1
So option b. x² + x is the correct option of the given statement Because option b satisfy the requirement of polynomial.
What does a polynomial in math mean?A polynomial is a mathematical equation made up of variables (sometimes called indeterminates) and coefficients, and can be expressed using just the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
What distinguishes a polynomial?By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials can be located. Expressions with additional operations are considered non-polynomial expressions. Describe the reasons why the expressions are not polynomials.
Which rules are applicable to polynomials?A polynomial function is a function in an equation that exclusively employs positive integer exponents or non-negative integer powers of a variable. Examples of such equations include the cubic equation, the quadratic equation, and others. For example, 2x+5 is a polynomial with an exponent of 1.
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use the extended euclidean algorithm to find the greatest common divisor of 8,406 and 1,242 and express it as a linear combination of 8,406 and 1,242. step 1: find q1 and r1 so that 8,406
Using Euclid's Algorithm, the greatest common divisor or 8406 and 1242 is 18
The first number = 8406
The second number = 1242
We have to find the greatest common divisor of the given numbers 8406 and 1242 using the Euclid's Algorithm
8406 / 1242 = 6 R 954
8406 = 6 × 1242 + 954
1242 / 954 = 1 R 288
1242 = 1 × 954 + 288
954 / 288 = 3 R 90
954 = 3 × 288 + 90
288 / 90 = 3 R 18
288 = 3 × 19 + 18
90 / 18 = 5 R 0
90 = 5 × 18 + 0
The remainder became zero, so the greatest common divisor 18
Therefore, the greatest common divisor of 8406 and 1242 is 18
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*Classified Data
Which of the following individuals can access classified data?
People withe the appropriate clearance and a signed non-disclosure agreement may access classifies information within a company or organization.
People must have a favorable determination of eligibility at the proper level, have a "need-to-know", and have signed an appropriate non-disclosure agreement before accessing classified information. Any individual who falls to meet these requirements is not authorized to access classified information.
Classified information may be made available to a person only when the possessor of the information establishes that the person has a valid "need-to-know" and the access is essential to the accomplishment of official government duties.
Data classification is the process of organizing data into categories that make it easy to retrieve,sort and store for future use. A well-planned data classification system makes essential data easy to find and retrieve.
Given question is incomplete.
Who can access classified data?
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could someone tell me how this answer was obtained?
Answer:
the Pythagorean theorem was used
Step-by-step explanation:
You want to know the missing side in a right triangle with hypotenuse 15 cm and one side 9 cm.
Pythagorean theoremThe Pythagorean theorem tells you the relationship between sides 'a' and 'b' and hypotenuse 'c' in a right triangle is ...
a² +b² = c²
9² +?² = 15² . . . . use the given values
?² = 225 -81 = 144 . . . . subtract 9²
? = √144 = 12 . . . . . . . take the square root
The length of the missing side is 12 cm.
__
Additional comment
The little green square in the upper corner tells you that is a right angle, and the triangle is a right triangle.
All units of length are in cm.
√ 15 ⋅ √ 45 simplified?
Answer:
15√3
Step-by-step explanation:
√ 15 ⋅ √ 45
Because both of them have the same base is the square root of two, we can combine them
√15 ⋅ 45
√675
Next, we factor √675 out and get
√15^2 ⋅ 3
= 15√3
So, the answer is 15√3
If you can, please give me 5 stars and Brainliest; thank you!
GIVING BRAINLIEST
_____ is the use of force to move or change the position or motion of an object.
Work
Acceleration
Friction
Inertia
4.
Choose the best answer.
A(n) _____ is the point that a lever pivots.
bar
pulley
wheel and axle
fulcrum
5.
Choose the best answer.
A(n) _____ is a machine that makes work easier and has no or few moving parts.
complex machine
compound machine
simple machine
easy machine
6.
Choose the best answer.
A(n) _____ is made of two or more simple machines.
complex machine
scientific machine
compound machine
electric machine
7.
Which of these is an example of work being done?
A child pushes a toy car across the floor.
A woman opens a door.
A soccer player hits a ball in the air with his head, and its direction changes.
All of these
8.
Choose the best answer.
A(n) _____ is made of a round shape that rolls and a rod that it turns around.
wheel and axle
fulcrum
pulley
lever
9.
Choose the best answer.
A(n) _____ is made of a bar that pivots at a fixed point.
lever
wheel and axle
pulley
fulcrum
10.
Choose the best answer.
A(n) _____ is an inclined plane wrapped around a post.
lever
screw
wedge
pulley
11.
Choose the best answer.
A(n) _____ is two inclined planes placed back to back.
wedge
pulley
screw
lever
12.
Choose the best answer.
A(n) _____ looks like a ramp.
screw
inclined plane
wedge
pulley
13.
The words that can be used to fill in the blanks are;
3) Work
4) fulcrum
5) simple machine
6) compound machine
7) All of these
8) pulley
9) wheel and axle
10) screw
11) wedge
12) inclined plane
What is force?We know that the term force has to do with a push or a pull force has to do with that which could cause an object to move some distance in the direction of the force that has been applied.
There are several kinds of simple machine. Let us recall that a machine has to do with any material that eases our work. It is the material that helps us to exert a lesser effort in order to move a heavier load.
The various kinds of simple machines that we have are;
LeverWheel and axlePulleyScrew jackThe Lever is a simple machine that is composed of the load, the fulcrum and the effort.
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Sherry paid 6.5% interest on a one-year loan. if she paid a total of 149.50 in interest, what was the original amount of the loan? A. 2,300 B. 971.75 C. 9717.50 D. 230.00
The original amount of the loan is $23,000.
What is the simple interest?
Simple interest is, by definition, the amount of interest paid on a specific principal sum of money when an interest rate is applied. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.
The formula of simple interest is I = PRT.
I = interest
P = Principal
R = rate of interest
T = time
Given that the rate of interest is 6.5%. Thus R = 6.5% = 0.065
The interest that she paid after 1 year is $149.50.
Thus I = $149.50 and T = 1
Putting R = 0.065, I = $149.50, and T = 1 in I = PRT
149.50 = P × 0.065 × 1
Divide both sides by 0.065
P = 23000
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a value of the linear correlation, r, near -1 means the data is tightly bundled around a line, and predictions within the scope of data are very reliable.
The correct statement is,
If the value of the linear correlation coefficient, r, is near −1, then the data viewed as a scatterplot is tightly bundled around some line, and predictions made with the line of best fit within the scope of data are reliable.
What is linear correlation?
When the proportional relationship between two given variables is the same or constant, linear correlation is said to exist. As an illustration, the expenditures increase by 5% each time the income increases by 20%. When the ratio of variations between two given variables changes, there is said to be a non-linear correlation.
Since,
r = - 1 means there is a negative relationship between the two variables
r=+1 means there is a positive relationship between the two variables
r= 0 means that there is no relationship between the two variables so we can not predict the value of dependent variable using the independent variable.
Hence the statement, If the value of the linear correlation coefficient, r, is near −1, then the data viewed as a scatterplot is tightly bundled around some line, and predictions made with the line of best fit within the scope of data are reliable is correct.
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Complete question:
Which of the following statements regarding regression and correlation are true? (There may be more than one correct answer.)
a. If the value of the linear correlation coefficient, r, is near −1, then the data viewed as a scatterplot is tightly bundled around some line, and predictions made with the line of best fit within the scope of data are reliable.
b. When the linear correlation coefficient is positive, then the slope of a linear regression equation must be negative.
c. If the linear correlation coefficient is near –1, then the slope of the related least squares line will also be close to –1.
d. If the linear correlation coefficient is close to 0 in value, then the best prediction model to use for any value of the independent variable is the mean(average) of the dependent variable values.
i don’t understand please someone help!
[tex]\sqrt[3]{63}[/tex] , [tex]\sqrt[3]{60} , \sqrt[3]{-100}[/tex] three radical expressions are already simplyfird form .
What radical expressions?Any expression with the radical () symbol is referred to as a radical expression. This symbol, which is frequently used to calculate the square root of a number, is frequently called the "square root" symbol by mistake. But it can also refer to a cube root, a fourth root, or something higher.
60 = 2 × 2 × 3 × 5. As a result, √60 = √2 + 2 + 3 + 5 = 2 + 15. Therefore, 2 15 is the square root of 60 in its lowest radical form.
3√600 =73.34
3√729 =9
A radical expression is any expression that uses the radical () symbol.
[tex]\sqrt[3]{63}[/tex] , [tex]\sqrt[3]{60} , \sqrt[3]{-100}[/tex] three radical expressions are already simplyfird form .
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Victoria has 1.90 worth of nickels and dimes. She has two more nickels than dimes. Write a system of equation that could be used to determine the number of nickels and the number of dimes that victoria has.
The system of equations is 0.05n+0.10d=1.90 and n=d+2
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
The calculation is as follows:
We know that
One nickel = $0.05,
So n nickels are worth 0.05n.
One dime = $0.10,
so dd dimes are worth 0.10d.
Now
The total 0.05n+0.10d = $1.90
i.e.
0.05n+0.10d=1.90
And,
n=d+2
Therefore we can conclude that The system of equations is 0.05n+0.10d=1.90 and n=d+2
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An exponential function in the form y = 5832(b)* contains the point (3, 1). What is the value of b?
The value of 'b' obtained for the given exponential function is 0.055.
Explain the term exponential function?A mathematical function with the formula f (x) = aˣ is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered.The stated exponential function is-
y = 5832(b)ˣ
This, function contains the point (3, 1).
Put the value in the r function;
1 = 5832(b)³
(b)³ = 1/5832
b = ∛1/5832
b = 0.055
Thus, the value of 'b' obtained for the given exponential function is 0.055.
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y = 6x + 7, what is the slope?
Answer: m= 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
because slope is the amount of times your changing the line
A drawer contains 24 spoons and forks. There are three times as many spoons and than forks.
A. Write a system of linear equations that represent the situation.
B. How many spoons are in the drawer?
C. How many forks are in the drawer?
s+f=24 and s=3f are system of equations to represent the situation and there are 18 spoons and 6 folks in the drawer.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let s=number of spoon
Let f=number of forks
Since there are 3 times as many spoons as forks, s=3f
s+f=24
3f+f=24
4f=24
Divide both sides by 4
f=6
Now put f value in s=3f
s=3(6)
s=18
Hence, s+f=24 and s=3f are system of equations to represent the situation and there are 18 spoons and 6 folks in the drawer.
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Can someone help? Please!!
The bottom one isn’t showing up, so you don’t have to solve that.
one of the answers to your part is 15 ill get the rest done give me 5 minutes
5. The graph of f(x) = -lx - 21+1 models a mountain in a computer drawing for -4 ≤x≤8. Which function(s) model a mountain with steeper sides? Select all that apply. A g(x) = -x-21 +1 1 ® g(x) = -x-2+ B g(x) = -13x - 11+2 g(x) = -14x-21 +1
The functions that model a mountain with steeper sides are (c) g(x) = -|3x - 1| +2 and (d) g(x) = -|4x-2| +1
How to determine the functions with steeper slopes?From the question, we have the following parameters that can be used in our computation:
f(x) = -|x - 2| + 1
The above function is an absolute value function
An absolute value function is represented as
f(x) = a|x - h| + k
Where
Slope = a
So, the slope of f(x) = -|x - 2| + 1 is
Slope = -1
Take the absolute value of this slope
Steep = 1
This means that the slopes of the functions in the options are
Slope (a) = -1/4
Slope (b) = -1/3
Slope (c) = -3
Slope (d) = -4
Take the absolute values of the above slope
Steep (a) = 1/4
Steep (b) = 1/3
Steep (c) = 3
Steep (d) = 4
A slope with a greater absolute value means a steeper line
3 and 4 are greater than 1
This means that the equations (c) and (d) are steeper than the given equation
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Which of the following is the value of the discriminant for
√2x®– 5x +√2=0?
(A) – 5 (B) 17 (C) 2 (D) 2 2 – 5
The value of the discrimination for the given equation is 17.
Here we have to find the value of the discrimination for the equation.
Given equation:
√2x² - 5x + √2 = 0
The formula for the discriminant of the equation for the general equation ax² + bx + c = 0
D = b² - 4ac
As the equation is given:
√2x² - 5x + √2 = 0
a = √2
b = -5
c = √2
So D = b² - 4ac
= (-5)² - 4√2×√2
= 25 - 4×2
= 25 - 8
= 17
Therefore the value of the discriminant is 17.
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Write an expression that is equivalent to 4^4
Answer:
[tex]\sqrt[4]{256}[/tex]
Step-by-step explanation:
1. simplify the expression
4^4 = 256
2. calculate the fourth root of 256 because we used the power of 4
[tex]\sqrt[4]{256}[/tex] = 4
