Answer:
I exactly don't have or know the answer
Which is a sum of cubes?
a3 + 18
a6 + 9
a9 + 16
a12 + 8
Answer:
a^12+8
Step-by-step explanation:
let's check all the expressions
1. a^3+18
here 18 is not a perfect cube.
2. a^6+9
here 9 is not a perfect cube.
3. a^9+16
here 16 is not a perfect cube.
4. a^16+8
here 8 is a perfect cube, thus we can write above expression by using laws of exponents as
(a^4)^3+2^3
Thus, is a sum of cubes.
a^12+8
Write the equation of the line in slope intercept form Slope=-4 Point=(2,-4)
Answer:
y=2x-8
or
f(x)=2x-8
Step-by-step explanation:
To write in slope-intercept form using this information, first use the point slope formula.
y-y1=m(x-x1)
m is slope.
y+4=2(x-2)
Use distributive property on the right side.
y+4=2x-4
Now, subtract 4 from both sides.
y+4-4=2x-4-4
y=2x-8
Written using function notation:
f(x)=2x-8
Hope this helps!
If not, I am sorry.
Part A
? Question
Enter the correct answer in the box.
Recall that the width is x + 15, and the length is 49 less than 2 times the width. Write a simplified expression for the
length of the garage in terms of x.
(101 0² +
An expression is defined as a set of numbers, variables, and mathematical operations. A simplified expression for the length of the garage in terms of x is 2x-19.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given the width is x + 15, and the length is 49 less than 2 times the width. Therefore, a simplified expression for the length of the garage in terms of x is,
Length = 2(x+15) - 49 = 2x + 30 - 49 = 2x-19
Hence, a simplified expression for the length of the garage in terms of x is 2x-19.
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can't understand tbh anyone willing give a go?
Answer:
nr.3 300x0.12=36rolls
nr.4 300x0.21=63 rolls
total number on rolls on nr.3 and nr.4= 99
Step-by-step explanation:
Calculate the probability for nr.3
Always try to get 100%
1=13%
2=5%
3=?
4=21%
5=19%
6=30%
Add all the percentage
1+2+4+5+6= 88%
now calculate the percentage for nr.3
100%-88%=12%
give a estimated total number of times the dice will land on nr.3 or nr.4 after 300 rolls
nr.3 300x0.12=36rolls
nr.4 300x0.21=63 rolls
total number on rolls on nr.3 and nr.4= 99
two identified lines are graphed below how many solutions are there to the system of equations?
PLEASE HELP ME WITH THIS
Answer:
Vertex
Vertex are the end points of parabola where it opens up
locus are the group of points
latus rectum is the line parallel to it .
Which value must be added to the expression x2 16x to make it a perfect-square trinomial?
Answer:
16
Step-by-step explanation:
x^2+16x+16
(x+4)(x+4)
x^2+ 4x+4x+16
Answer:
The answer is C.) 64 on edge.
help mee please anyone
Answer:
1.A - B
1.B - D
1.C - [unsure]
Step-by-step explanation:
6x9(7-3)4+3x36+3
what is the answer
The given expression can be simplified as [tex]96x^{9}+3x^{36} +3[/tex].
The given expression is [tex]6x^{9} (7-3).4+3x^{36} +3[/tex].
We need to simplify the given expression.
What is an algebraic expression?In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.
First, multiply the numbers 6×4=24.
That is, [tex]24x^{9} (7-3)+3x^{36} +3[/tex].
Next, subtract the numbers 7-3=4.
[tex]24x^{9}.4+3x^{36} +3[/tex]
Finally, multiply the numbers 24×4=96.
[tex]96x^{9}+3x^{36} +3[/tex].
Hence, the given expression can be simplified as [tex]96x^{9}+3x^{36} +3[/tex].
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What is 5,435,778 expressed in scientific notation? A. 5.435778 x 10 B. 5.435778 x 10 C. 5.435778 x 10 D. 5.435778 x 10
Answer:
The answer options seem to be missing their exponents for the 10 unit.
Answer is: 5.435778 x [tex]10^{6}[/tex]
Step-by-step explanation:
5,435,778
Move the decimal point to the left until it is between the 5 and 4. Scientific notation means rewriting the number with only one digit to the left of the decimal point and adding the "x [tex]10^{x}[/tex] after to account for the number of positions the decimal point was moved.
Count the number of places required for the move.
5,435,778 0
543577.8 1
54357.78 2
5435.778 3
543.5778 4
54.35778 5
5.435778 6
Each move reduces the number by a factor of 10. This means that the final move to make the number 5.435778 required dividing the original number by 10 a total of 6 times. By multiplying this last number by 10 a total of 6 times, we obtain the original number.
We could write this as: (5.435778)*(10)*(10)*(10)*(10)*(10)*(10)
but that defeats the purpose of scientific notation, which is to simplify the number so that it is 1) easier to read, 2) saves printers paper and ink, and 3) reduces transcription errors.
So scientific notation is the process of writing this as:
5.435778 x [tex]10^{6}[/tex]
Brian invests £6600 into his bank
account.
He receives 0.6% per year compound
interest.
How much will Brian have after 6 years?
Give your answer to the nearest penny
where appropriate.
O
→ £ 1
Answer:
See Below
Step-by-step explanation:
The equation for this scenario would be ( compounded annually)
6600 ( 1 + .006)^6 = £ 6841.19
Answer:
Brian will have £6841.19 after 6 years.
Step-by-step explanation:
The compound interest formula is:
[tex]A = P( 1 +\frac{r}{100} )^{n}[/tex] ,
where A is the final amount, P is the initial (principal) amount invested (£6600), r is the interest rate (0.6%) and n is the number of years the money is kept for (6 years).
Using the formula:
[tex]A = 6600(1 + \frac{0.6}{100} )^{6}\\\\A = 6841.19[/tex]
Solve using the factoring method: x2 + 4x - 21 = 0
Answer:
x² + 4x - 21 = 0
x² + 7x - 3x - 21 = 0
x ( x + 7 ) -3 ( x + 7 ) = 0
( x - 3 ) ( x + 7 ) = 0
∴ x - 3 = 0 or x + 7 = 0
x = 0 + 3 x = 0 - 7
x = 3 x = -7
PLS I REALLY NEED HELP I NEED TO PASS THIS ASAP
The volume of the cylinder is 1692.46dm³.
How to calculate the volume?It should be noted that the volume of a cylinder is calculated as:
= πr²h
r = radius = 7dm
h = height = 11dm
Volume = πr²h
Volume = 3.14 × 7² × 11
Volume = 3.14 × 49 × 11
Volume = 1692.46dm³
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Monomal by a Dinormal
What is the product of x(x + 1)?
O 2x+x
0x2+2x
022 +1
O x² + x
will give brainliest
Answer:
a
Step-by-step explanation:
.....................
John, Johan, and Jonathan collect postage stamps. Johan and Jonathan have the same number of stamps. Two times Johan’s collection is eleven less than five times John’s collection, and three times Jonathan’s collection is three less than seven times John’s collection.
The number of postage stamps in John’s collection is 27.
We have given that,
John, Johan, and Jonathan collect postage stamps. Johan and Jonathan have the same number of stamps.
What is an elimination method?The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.
Johan and Jonathan have the same number of stamps.
Let x be the Johan and Jonathan postal stamps.
Let y be the John postal stamps.
Two times Johan’s collection is eleven less than five times John’s collection.
2x = 5y - 11............(1)
Three times Jonathan’s collection is three less than seven times John’s collection.
3x = 7y - 3............(2)
Multiply equation 1 with 3
3(2x = 5y - 11)
⇒ 6x = 15y - 33.........(3)
Multiply equation 2 with 2
2(3x = 7y - 3)
⇒ 6x = 14y - 6.............(4)
Subtract equation 4 from equation 3
⇒ 6x - 6x = 15y - 33 - (14y - 6)
⇒ 0 = y - 27
⇒ y = 27
Hence, the number of postage stamps in John’s collection is 27.
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Please help me smart peeps
Determine if the two triangles below are similar and state how you know.
The first and foremost rule for determining if 2 triangles are similar is checking if their angles are the same. Obviously, in this example, the angles are completely different, so the triangles are not similar.
Have a nice day!
And good luck on the assignment!
Tutorial C
A 3-yard roll of aluminum foil costs $4.14. What is the price per
foot?
Answer:
$.46 or 46 cents per foot
Step-by-step explanation:
3 yards = 4.14
1 yard is 3 feet
3 yards is 9 feet
4.14 ÷ 9 = .46
You spent 14 of your allowance on Monday. On Tuesday, you spent 13 of what was left. On Wednesday, you spent 12 of what remains. What fraction of your allowance do you have left? Choose the most reasonable answer.
PLEASE HELP ME WITH THIS
Step 3: So, M 12= 60 Degrees
Use the drop-down menus to explain whether or not Stuart is corrrect.
The reasoning that may be used for finding the measure of m∠12, is the
same side interior angles theorem.
The correct options using the drop-down menu are;
The sum of ∠1, ∠7, and ∠8 is 180°
∠8 and ∠12 are the same side interior angles
The measure of ∠12 must be = 120°
Stuart is not correct
The complete question is given below:-
In the diagram, line x is parallel to line y,m21= 65°, and m27 = 55°. Stuart says that m212 = 60°. His reasoning is shown. Step 1: mZ8 = 60°, because m21+ m27 +m28 = 180º. Step 2:28 212, because 28 and 212 are corresponding angles. Step 3: So, mZ12 = 60° Use the drop-down menus to explain whether or not Stuart is correct.
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Given parameters;
Line x ║ line y
m∠1 = 65°, m∠7 = 55°
m∠12 = 60°
Stuart states ∠12 = 60°
The reasoning is presented as follows;
Step 1: m∠8 = 60°, because m∠1 + m∠7 + m∠8 = 180°
Step 2: ∠8 ≅ ∠12, because ∠8 and ∠12 are corresponding angles
Step 3: So, m∠12 = 60°
Using the drop-down menu, we have;
The sum of ∠1, ∠7, and ∠8 is 180° (Sum of angles in the triangle)
∠8 and ∠12 are same side interior angles (by definition)
Same side interior angles are supplementary, therefore;
∠8 +∠12 = 180°
∠12 = 180° - ∠8
Which gives;
The measure of ∠12 must be 180° - ∠8 = 180° - 60° = 120°
The measure of ∠12 must be = 120°
Stuart is not correct
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What is the simplified form of this expression? (3 − 13x − 7x2) − (5x2 12x − 10)
Answer:
-12x²-25x+13
Step-by-step explanation:
First open parenthesis.
(3 − 13x − 7x²) − (5x² + 12x − 10)
3 − 13x − 7x² − 5x² - 12x + 10
Now combine like terms.
3 − 13x − 7x² − 5x² - 12x + 10=13-25x-12x²
Now put into standard form, exponents greatest to least.
-12x²-25x+13
Hope this helps!
If not, I am sorry.
Answer:-12x²-25x+13
Step-by-step explanation:
ILL GIVE 5-STAR RATING, A THANKS, 20 PTS AND BRAINLIEST TO FIRST RIGHT ANSWER!!!
Quadrilateral CDEF is inscribed in circle A. Which statements complete the proof to show that ∠CFE and ∠CDE are supplementary?
Quadrilateral CDEF is inscribed in circle A. Quadrilateral CDEF is inscribed in circle A, so m arc CDE+ m arc CFE= 360°. ∠CFE and ∠CDE are _________________, which means that their measures are _________________. So, m arc CDE= 2 ⋅ m∠CFE and arc CFE = 2 ⋅ m∠CDE. Using the substitution property of equality, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary.
central angles; equal to the measure of their intercepted arcs
inscribed angles; equal to the measure of their intercepted arcs
central angles; one half the measure of their intercepted arcs
inscribed angles; one half the measure of their intercepted arcs
The missing statements with regard to the mathematical proof are:
It is to be noted that an intercepted arc is the arc that sits inside the inscribed angle. See the attached image.
Thus, it is correct to state that
The missing statements with regard to the mathematical proof are:
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A basketball team scored a total of 97 points in a basketball game. They made a total of 42 two-point and three-point baskets. How many two-point baskets did they make? How many three-point baskets did they make? Let x= the number of two-point baskets Let y= the number of three-point baskets Equation for total number of baskets _____________________
Therefore the number of two point baskets = 29 and three point baskets = 13.
What is the system of equations?A set of equation that have a common factor that satisfies them
It is given in the question that
x = the two point baskets
y = the three point baskets
A basketball team scored a total of 97 points in a basketball game
2x +3 y = 97
They made a total of 42 two-point and three-point baskets.
x +y = 42
y = 42- x
2x + 3(42-x) = 97
On solving we get x = 29
Two point baskets = 29
and y = 13
Three point baskets = 13
Therefore the solution of the given system of equations are two point baskets = 29 and three point baskets = 13.
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Refer to the attached image
Answer: [tex]\boldsymbol{2(x-2)(5x+7)}[/tex]
========================================================
Work Shown:
[tex](4x^2-16)+3(2x-4)(x+1)\\\\4(x^2-4)+3*2(x-2)(x+1)\\\\4(x-2)(x+2)+3*2(x-2)(x+1) \ \text{ ... difference of squares rule}\\\\2*2(x-2)(x+2)+3*2(x-2)(x+1)\\\\2(x-2)(2(x+2)+3(x+1))\\\\2(x-2)(2x+4+3x+3)\\\\\boldsymbol{2(x-2)(5x+7)}\\\\[/tex]
The answer has been confirmed with WolframAlpha which is basically a calculator app, but does a ton more than any average calculator.
The CAS (computer algebra system) in the app GeoGebra is another tool I use all the time.
Yet another way to confirm the answer is to graph the original expression and the answer as separate functions. You should find they produce the exact same curve. One curve perfectly overlaps the other. This visually verifies the two expressions are the same thing, just written a different way of course.
Let me know if you have any questions about any step. The basic idea I did was to pull out the GCF and then combine like terms.
Keiko+has+a+health+insurance+premium+of+$3298+annually. +if+her+employer+pays+90%+of+the+premium,+how+much+does+she+pay+annually?
Answer: $329.8
[tex]3298-(\frac{90}{100} *3298)\\= 3298 - 2968.2\\= 329.8[/tex]
The amount Keiko pays annually is $329.8
To answer the question, we need to know the amount Keiko pays annually
How to calculate how much Keiko pays annually.Since Keiko health insurance premium annually is $3298 and if his employer pays 90% of the premium, we want to know how much Keiko pays.
Since the employer pays 90% of the premium, the employer pays x = 90% of $3298
= 0.9 × 3298
= $2968.2
So, the amount Keiko pays annually is y = premium - amount employer pays, x
= $3298 - $2968.2
= $329.8
So, the amount Keiko pays annually is $329.8
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Ahman has a lawn care business. he charges $25 per lawn to mow the grass. if his monthly expenses are $100, how many lawns must he mow in order to make a profit of at least $250 per month?
Answer:
14
Step-by-step explanation:
you can write an equation to represent the situation:
let x represent the number of lawns he has to mow
then, the monthly profit would be 25x - 100.
in order to make $250, this equation has to be equal to 250:
[tex]25x-100=250[/tex]
now, solve this:
add 100 to both sides
[tex]25x = 350[/tex]
divide both sides by 25
[tex]x = 14[/tex]
he must mow 14 lawns
40 POINTS PLS HELP PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS /J IM LAZY NO PLS HELP
Answer:
y = -0.5x - 3.5
Explanation:
Take two points: (1, -4), (3, -5)
Find slope:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
[tex]\rightarrow \sf slope \ (m) : \dfrac{-5-(-4)}{3-1} = -\dfrac{1}{2}[/tex]
Equation:
[tex]\sf y- y_1 = m (x - x_1)[/tex]
[tex]\rightarrow \sf y- (-4) = -\dfrac{1}{2} (x -1)[/tex]
[tex]\rightarrow \sf y+ 4 = -\dfrac{1}{2} x + \dfrac{1}{2}[/tex]
[tex]\rightarrow \sf y = -\dfrac{1}{2} x + \dfrac{1}{2} - 4[/tex]
[tex]\rightarrow \sf y = -0.5 x -3.5[/tex]
The formula of a line is:
[tex]f(x) = kx + b[/tex]
k — stands for tg of line angle
b — stands for the y value of a point where the line crosses y axis.
We can see 2 points:
A (1, -4)
B (3, -5)
We can make a system of equations:
[tex]k*1+b=-4\\k*3+b=-5\\[/tex]
From second equation:
[tex]b = -5 - 3k[/tex]
Let's put b in first equation:
[tex]k-5-3k=-4\\-2k=1\\k=- \frac{1}{2}[/tex]
Now we can find b:
[tex]b = -5 -3*- \frac{1}{2}\\b = -5 + 1.5\\b = -3.5[/tex]
The answer is:
-0.5x -3.5
x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is
The Standard form of the equation of circle is (x+21)² + (y+19)² = 849
What is Standard form of circle?To transform general form to a standard form, you can use completing the square method or you can convert this equation
x² + y² + Dx + Ey + F = 0 to x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0
Here, Given: x² + y² + 42x + 38y − 47 = 0
Required: Find the values of h, k, and r using this formula
x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0
On comparing we get,
-2h = 42
h = 21
-2k = 38
k = 19
-47 = h² + k² - r²
-47 = 21² + 19² - r²
r² = 849
r = √849
Thus, the Standard form of the equation of circle is (x+21)² + (y+19)² = 849
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Please help me answer question 6/11
The value of a₄₁ mean the expression in 4th row and 1st column will be 2. Then the correct option is B.
The complete question is attached below.
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The [tex]\rm a_{ij}[/tex] element in a matrix, such as M, refers to the i-th row and j-th column element.
The matrix is given below.
[tex]\begin{bmatrix} 1&3&8&5&\\ 5&4&6&2\\6&7&1&8\\2&9&3&7&\\\end{bmatrix}[/tex]
Then the value of a₄₁ mean the expression in 4th row and 1st column will be 2.
Then the correct option is B.
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5 kilograms of coffee are going to be shared equally among 44 people.
About how many kilograms of coffee does each person get?
Choose 1 answer:
(Choice A)
A
Between 0 and 1 kilograms
(Choice B)
B
Between 1 and 2 kilograms
(Choice C)
C
Between 2 and 3 kilograms
(Choice D)
D
Between 3 and 4 kilograms
Answer:
A
Step-by-step explanation:
5/44=0.11kg
Answer:
I think A
Step-by-step explanation:
I think A would be the answer.
Have a nice day !
Find the variance of the given
data rounded to the nearest
hundredth.
3, 4, 5, 7, 10, 12, 15
Σ (x - mean)²
n
0²
0²
=
=
[?]
Enter
Answer:
17.14
Step-by-step explanation:
You have the data values {3, 4, 5, 7, 10, 12, 15}
To find the mean, [tex]\frac{3+4+5+7+10+12+15}{7} =8[/tex], yay a whole number, my favorite.
Then, [tex](3-8)^2+(4-8)^2+(5-8)^2+(7-8)^2+(10-8)^2+(12-8)^2+(15-8)^2=120[/tex].
Since n=7, σ^2≈[tex]17.14[/tex]