Answer:
605
Step-by-step explanation:
11x55=605
I need help with this
Using the above equation 1/i is equal to 2/(9-5j^2+3k)
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given; 2i+5j^2-3k=9
2i+5j^2-3k=9
2i=9-5j^2+3k
i=(9-5j^2+3k)/2
1/i=2/(9-5j^2+3k)
Therefore, the value of 1/i according to the given equation will be
2/(9-5j^2+3k)
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On April 11, George Jimerson had $6,521.37 in his savings account. The account pays 5.5% interest
compounded daily. How much interest will the money earn by June 30?
The interest George Jimerson would earn by June 30 be $83368.21
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Let y represent the amount of money in Jimerson savings account after x days.
The account pays 5.5% interest compounded daily, hence:
y = 6521.37(1.055)ˣ
In June 30, the number of days from April 11 is 49. Hence;
y = 6521.37(1.055)⁴⁹ = 89889.58
The interest = 89889.58 - 6521.37 = 83368.21
The interest would be $83368.21
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How many square feet of outdoor carpet will we need for this hole?
The area of a outdoor carpet is 42 square feet.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
In the given figure, the outdoor carpet consist two triangles and one rectangle.
Here, rectangle measures length=11 ft and width = 3 ft, small triangle has base= 2 ft and height =3 ft and large triangle has base= 4ft and height =3 ft.
So, area of rectangle is 11×3 = 33 square ft
Area of small triangle = 1/2 ×Base×Height
= 0.5×2×3
= 3 square feet
Area of large triangle = 1/2 × 4×3
= 6 square feet
Total area = 33+3+6
= 42 square feet
Therefore, the area of a outdoor carpet is 42 square feet.
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Just before Henderson Laboratories opened for business, Eugene Henderson, the owner, had the following assets and liabilities. Cash $ 39,900 Laboratory equipment 75,000 Laboratory supplies 6,200 Loan payable 14,500 Accounts payable 9,725
If Just before Henderson Laboratories opened for business. The totals that would appear in the firm’s fundamental accounting equation is $96,875
How to find the total that will appear in the accounting equation?Using this formula
Assets = Liabilities + Owner’s Equity
Total Owners Equity = Assets - Liabilities
Where:
Assets:
Assets = Laboratory Equipment + Laboratory supplies+ Cash
Assets=$75,000 + $6,200 + $39,900
Asset= $121,100
Liabilities:
Liabilities= Loan Payable+ Accounts Payable
Liabilities = $14,500 + $9,725
Liabilities= $24,225
Let plug in the formula
Total Owners Equity = Assets - Liabilities
Total Owners Equity =$121,100 - $24,225
Total Owners Equity= $96,875
Therefore the totals that would appear in the firm’s fundamental accounting equation is $96,875.
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The complete question is:
Just before Henderson Laboratories opened for business, Eugene Henderson, the owner, had the following assets and liabilities. Cash $ 39,900 Laboratory equipment 75,000 Laboratory supplies 6,200 Loan payable 14,500 Accounts payable 9,725. Determine the totals that would appear in the firm’s fundamental accounting equation (Assets = Liabilities + Owner’s Equity).
Chi has $13.30 in dimes and quarters. The number of dimes is three more than four times the number of quarters. How many of each are there?
Answer:
To solve this problem, we will use the following steps:
Step 1: Let's assume that the number of quarters is x, and the number of dimes is y
Step 2: We know that the number of dimes is three more than four times the number of quarters, so we can write the equation: y = 4x + 3
Step 3: We also know that Chi has $13.30 in dimes and quarters. Since dimes are worth $0.10 and quarters are worth $0.25, we can write the equation: 0.25x + 0.10y = 13.30
Step 4: Now we have two equations with two unknowns, we can substitute one equation into another to find the value of x and y.
y = 4x + 3
0.25x + 0.10(4x + 3) = 13.30
0.25x + 0.40x + 0.30 = 13.30
0.65x = 13
x = 20
Step 5: We can substitute the value of x in one of the equation, to find the value of y
y = 4(20) + 3
y = 83
Final Answer: Chi has 20 quarters and 83 dimes.
Note: We can check our solution by multiplying the number of quarters by $0.25 and the number of dimes by $0.10 to check if the total money is $13.30 which is true.
The cab charges in a metro city include a fixed charge plus the charges for the distance covered. Linus traveled 11 miles and paid $88. For the ride of 16 miles, he paid $108. How much would Linus have to pay to travel 6 miles?
$268.00
$128.00
$98.00
$68.00
Answer:
Step-by-step explanation:
The problem can be solved by using the information provided to set up a system of equations and then solving for the unknown variable, which in this case is the fixed charge.
Let x be the fixed charge.
We know that the total cost of the 11-mile trip is the fixed charge plus the charge for the distance covered, so we can write the equation:
x + 11y = 88 (1)
We also know that the total cost of the 16-mile trip is the fixed charge plus the charge for the distance covered, so we can write the equation:
x + 16y = 108 (2)
Where y is the cost per mile
We can solve for y by subtracting equation (1) from equation (2), so:
16y - 11y = 108 - 88
5y = 20
y = 4
Now we know that cost per mile is 4$, we can substitute it in equation (1)
x + 11(4) = 88
x = 24
Now we know the fixed charge is 24$ and cost per mile is 4$, we can calculate the fare for 6 miles
24 + 6(4) = $48
Therefore, Linus would have to pay $48 to travel 6 miles.
A polling agency showed the following two statements to a random sample of 2,150 adults in the United States.
Equal pay statement: The issue of equal pay should be given priority over increasing the minimum wage.
Minimum wage statement: Increasing the minimum wage should be given priority over the issue of equal pay.
The order in which the statements were shown was selected randomly for each person in the sample. After reading the statements, each person was asked to choose the statement that was most consistent with his or her opinion. The results are shown in the table.
Percent of Sample
Equal Pay Statement Minimum Wage Statement No Preference
50% 42% 8%
Part A: Assume the conditions for inference have been met. Construct and interpret a 99% confidence interval for the proportion of all adults in the United States who would have chosen the minimum wage statement. (5 points)
Part B: One of the conditions for inference that is met is that the number of those who chose the minimum wage statement and the number of those who did not choose the minimum wage statement are both greater than 10. Explain why it is necessary to satisfy this condition.
a) The 99% confidence interval for the proportion of all adults in the United States who would have chosen the minimum wage statement is given as follows: (0.3926, 0.4474).
The interpretation is that we are 99% sure that the true population proportion is in this interval.
b) The condition has to be satisfied as the confidence interval is constructed considering an assumption of normality, and by the Central Limit Theorem, at least 10 successes and 10 failures are needed for the sampling distribution of sample proportions to be normal.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which the variables used to calculated these bounds are listed as follows:
[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The sample size and the estimate are given as follows:
[tex]n = 2150, \pi = 0.42[/tex]
Hence the lower bound of the interval is given as follows:
[tex]0.42 - 2.575\sqrt{\frac{0.42(0.58)}{2150}} = 0.3926[/tex]
The upper bound of the interval is given as follows:
[tex]0.42 + 2.575\sqrt{\frac{0.42(0.58)}{2150}} = 0.4474[/tex]
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Lucy paid $3.20 for 4 pounds of coffee beans. How much did she pay for each pound of coffee beans?
Sarah needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4.25 hours and charged her $54 for parts. The total was $585.25. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
The cost of labor per hour is $125.
What is the cost of labor per hour?The equation that can be used to solve for the cost of labor per hour is a linear equation. A linear equation is an equation that has a single variable that is raised to the power of one.
The form of the linear equation is:
Total cost = cost of the parts + (cost per hour x total hours worked)
$585.25 = $54 + (4.25 x d)
$585.25 = $54 + 4.25d
In order to determine the value of x, take the following steps:
Combine similar terms:
$585.25 - $54 = 4.25d
Add similar terms
$531.25 = 4.25d
Divide both sides of the equation by 4.24
d = 531.25 / 4.25
d = 125
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-2x-3y=48 and 7x+3y=21
Answer:
Step-by-step explanation:
2424242424242424hhj
An object moves along a straight and horizontal path with a constant acceleration. If the velocity increases from rest to 11.53m/s in 5.44s, determine the acceleration of the object.
NO LINKS!!
1. Underline the hypothesis and circle the conclusion in the following conditional statement. Then rewrite the conditional statement in if-then form.
a. All 120° angles are obtuse angles.
2. Write the negation of the following statement:
a. It is raining
Answer:
1. Hypothesis: "All 120° angles"
Conclusion: "are obtuse angles"
If-then statement: If an angle measures 120°, then it is an obtuse angle.
2. It is not raining.
Step-by-step explanation:
Question 1Conditional statement
"If this happens, then that will happen."
Hypothesis: The part after the "if".Conclusion: The part after the "then".For the statement "All 120° angles are obtuse angles":
Hypothesis: "All 120° angles"Conclusion: "are obtuse angles"Therefore, the statement written in the if-then form is:
If an angle measures 120°, then it is an obtuse angle.Question 2Given statement:
"It is raining"The definition of a negation of a statement is the opposite of the given statement. For example, the negation of statement "p" is "not p."
Therefore, the negation of the given statement is:
"It is not raining"PLS HELP
Use the product rule to simplify
The expression √5x × √30x is simplified using the product rule to give 12.25x
What is square root?Square root of a number can be defined as the inverse operation of the square of a number.
It is the number obtained by finding a number that when squared would give the original number.
Square root is represented using the symbol '√ '. The symbol is called a radical.
Also, the number under the symbol is called the radicand.
To multiply two square roots, we have to multiply the radicands and leave the radical sign.
From the information given, we have;
√5x × √30x
Multiply the radicands and retain the square root symbol, we have;
√150x²
Find the square root
12.25x
Hence, the value is 12.25x
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Dominic fills some jars with chutney that
he has made.
Each jar weighs 230 g when it is empty
and can contain 300 cm³ of chutney.
8 full jars of chutney weigh a total of
5.68 kg.
Calculate the density of the chutney, in
g/cm³.
If your answer is a decimal, give it to
1 d.p.
Answer:
1.6 g/cm³
Step-by-step explanation:
230g = 0.23 kg
0.23 kg x 8 = 1.84 kg
So, the weight of chutney in the 8 jars is 5.68kg - 1.84kg = 3.84kg or 3840g.
So, 1 jar weight is 3840g/8 or 480g of chutney.
Density = 480/300 or 1.6 g/cm³
Answer:
2.36
Step-by-step explanation:
5.68 kg into grams = 5680 and 300*8 is 2400
5680/2400 is 2.36
Find a counterexample to show that the statement is false. (Select all that apply.)
X >
none of these
X> 2
-1 < x < 0
0 < x < 1
XS-1
X> 1
X
Find the circumcenter of the triangle.
The point at which the perpendicular bisectors of a triangle's sides come together is known as the circumcenter of that triangle. The line's equation is x=-2.5.
Explain about the circumcenter of the triangle?The circumcenter is, in other words, the point at which the bisector of a triangle's sides coincides. P serves to indicate it (X, Y).
This intersection represents the point on the triangle's perimeter. Distance d = (a - ax)2 + (b - bx)2 is the geometry formula for distance. "d" represents the separation between a vertex and the circumference, where x = 1, 2, 3.
The junction of the perpendicular bisectors of each side of the triangle, or the lines that are perpendicular to each side's midpoint, is where the triangle's circumcenter can be located.
To determine it, we locate the intersection of the circumcenter and the first name of the triangle, which is the point at which each line intersects the other
(-4,0) B=(-4,-4) C=(-1,-4) (-1,-4) (-4, -2),
y=-2 is the perpendicular line to AB's midpoint.
The intersection of the line at (-2.5,-2) and (-5/2,-2)
where BC's midpoint is located.
The line's equation is x=-2.5.
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(v-7)(v+5)(v-3)=0 solve the quadraticequation
A quadratic equation, or second-order polynomial equation with a single variable, has the form ax^2 + bx + c = 0. The solution to the given equation is v = 7, -5 and 3
Solving quadratic equations?The form ax^2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
Given the quadratic expression below:
(v-7)(v+5)(v-3)=0
Required
The solution to the system of equation
Equate each expression to zero calculate the value of 'v' as shown:
v - 7 = 0
v = 0 + 7
v = 7
Also, v + 5 = 0
v = 0 - 5
v = -5
Similarly, v - 3 = 0
v = 0 + 3
v = 3
Hence the solution to the given equation is v = 7, -5 and 3
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help me pleace!!!!!!!
Step-by-step explanation:
For 60 muffins sold there are 3 boxes, because there are 20 muffins per box.
For 600 muffins sold there are 30 boxes, because there are 20 muffins per box.
For 6000 muffins sold there are 300 boxes, because there are 20 muffins per box.
Because 2×3=6
Find the median and mean of the data set
below:
7, 47, 43, 47, 25, 16, 18
Median :
Mean :
Answer:
25 median. 29 mean.
Step-by-step explanation:
7, 16, 18, 25, 43, 47, 47
25 is the middle number when ordered by value, so 25 is the median
7 + 47 + 43 + 47 + 25 + 16 + 18 = 203
203 / 7 (amount of numbers in the set) = 29
29 mean
Is this equation an identity?
k - 4 = 4 + k
Yes or No
Answer:
no
Step-by-step explanation:
An identity is an equality that is always true. An equation is an equality that is (only necessarily) conditionally true.
That is to say that for any real value inputted into a variable in an identity, an equality will result, whereas only certain values for a variable in an equation will necessarily result in an equality.
If the given equation is an identity, it should result in an equality no matter what the input for k is. So, to prove that it isn't an identity, we simply have to find one value for k that results in an inequality. To do so, we can simply plug in 0 for k and simplify.
[tex]k - 4 = 4 + k[/tex]
[tex]0 - 4 \stackrel{?}{=} 4 + 0[/tex]
[tex]-4 \ne 4[/tex]
We have found one value for k that results in an inequality. Thus, this equation is not an identity.
Given a set A={1,2,3,4,5,6,7}
Define a relation induced by the partition of set A and that partition must contain of at least 3 subsets.
Given a set A={1,2,3,4,5,6,7}, a relation induced by the partition of set A is
(1,2,3) -> {1,2,3}, (4,5) -> {4,5}, (6,7)-> {6,7}
What is a set?Generally, A set comprises elements or members that may be mathematical objects of any sort, including numbers, signs, points in space, lines, other geometric forms, variables, or even other sets. A set is a mathematical formula for a collection of various things.
A relation induced by a partition of a set is a relation that defines a way of grouping elements in the set into subsets, called "blocks" or "cells". In this case, the set
A={1,2,3,4,5,6,7}
can be partitioned into at least 3 subsets. For example, one possible partition is
A={1,2,3}, {4,5}, {6,7}.
The relation induced by this partition is a relation that assigns to each element in one of the 3 subsets, i.e.
(1,2,3) -> {1,2,3}, (4,5) -> {4,5}, (6,7)-> {6,7}
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Complete the regression equation below.
F(x)=
The regression equation, given the line of best fit and the points on the line, would be F ( x ) = 30x + 685
How to find the regression equation ?To find the regression equation, you first need to find two points on the line on the graph. Those two lines would be ( 3, 775) and ( 4 , 805).
The next step would be to find the slope of the line :
= ( Y₂ - Y ₁ ) / ( X ₂ - X ₁ )
= ( 805 - 775 ) / ( 4 - 3 )
= 30 / 1
= 30
Then use the points to find the y - intercept :
y = mx + y- intercept
775 = 30 ( 3 ) + y - intercept
y - intercept = 775 - 90
y - intercept = 685
The regression equation is:
F ( x ) = 30x + 685
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NASA’s research center has seven crates of hard-shell space suits. Each crate has two suits. If three suits crack during pressure testing, how many suits are left that are NOT cracked?
[tex]x^{2} +5x-14[/tex]
[tex] \sf {x}^{2} + 5x - 14 \\ \sf {x}^{2} - 2x + 7x - 14 \\ \sf x(x - 2) + 7(x - 2) \\ \sf \: (x - 2)(x + 7) = 0 \\ \sf \: x = 2 \: and \: x = - 7[/tex]
What is 1/5 x ( 7 x -4) =
Answer:
7x2−4x/5
Step-by-step explanation:
7x2−4x over 5
Factor completely 640-10x^2
Answer:
Step-by-step explanation:
640 - 10x^2 = (4x-10)(160 + 4x)
The factors of 640-10x^2 are (4x-10) and (160 + 4x).
Write the formula for the mathematical function that takes as input an RGB color vector ⟨r,g,b⟩ and yields as output the RGB color vector that is the unique shade of gray whose total amount of light (r+g+b) is equal to that of the input.
Answer: The formula for the mathematical function that takes as input an RGB color vector ⟨r,g,b⟩ and yields as output the RGB color vector that is the unique shade of gray whose total amount of light (r+g+b) is equal to that of the input is:
(r+g+b)/3, (r+g+b)/3, (r+g+b)/3
Step-by-step explanation: RGB color space is a way to represent colors digitally, where each color is represented by a combination of red, green, and blue values ranging from 0 to 255. To obtain a unique shade of gray whose total amount of light (r+g+b) is equal to that of the input color, we have to set all three color channels to the average value of the red, green and blue values.
To calculate this average value we use the formula: (r+g+b)/3
So the output of the function is ⟨(r+g+b)/3, (r+g+b)/3, (r+g+b)/3⟩ which is the unique shade of gray whose total amount of light is equal to that of the input color.
Note: This is one way to convert color to gray, other methods exist like using luminosity or other weights to RGB channels.
a flower bed is the shape of a triangle with one side twice the length of the shortest side and the third side is
25 feet more than the length of the shortest side. find the dimensions if the perimeter is 133 feet
The dimensions of the sides of the triangular flower bed are 27ft, 54ft and 52ft.
What are the dimensions of the triangular flower bed?A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.
Given the data in the question;
Let the shortest side b x.
Shortest side = xSecond side = 2xThird side = x + 25Perimeter = 133 ftSince a triangle has three side, the perimeter of the triangle will be;
Perimeter = side 1 + side 2 + side 3
Plug in the values and solve for x
133 = x + 2x + x +25
133 = 4x + 25
133 - 25 = 4x
108 = 4x
4x = 108
x = 108/4
x = 27
Therefore, the dimensions of the flower bed are;
Shortest side = x = 27ft
Second side = 2x = 2( 27) = 54 ft.
Third side = x + 25 = 27 + 25 = 52 ft
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Drag tiles to the boxes to form correct pairs. Not all tiles will be used. Determine each segment length in right triangle ABC.
The value each segment length in right triangle ABC are AD = 6 units, BC = 4 units, AB = 4√3 units and BD = 2√3 units
How to determine each segment length in right triangle ABC?Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles
Since AC = 8 and CD = 2.
Thus, AD = AC - CD = 8 - 2 = 6 units
sin 30° = BC/AC
0.5 = BC/8
BC = 0.5 × 8
BC = 4 units
AB = √(8²-4²) (Pythagoras theorem)
AB = 4√3 units
BD = √(4²-2²) (Pythagoras theorem)
BD = 2√3 units
Therefore, drag the value of each segment length in the box accordingly
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A plumber bought some pieces of copper and plastic pipe. Each piece of copper pipe was 6
meters long and each piece of plastic pipe was 1 meter long. He bought 10 pieces of pipe.
The total length of the pipe was 35 meters. How many pieces of each type of pipe did the
plumber buy?
pieces of copper pipe
pieces of plastic pipe
Submit
The plumber bought 5 pieces of copper wire and 5 pieces of plastic wire.
What is an equation?
Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign.
Length of each piece of copper wire = 6 m
Length of each piece of plastic wire = 1 m
Total number of pipes bought = 10
Total length of pipes = 35 m
Let the number of copper pipes be x.
Let the number of plastic pipes be y.
The equation for number of pipes will be -
x + y = 10...(1)
The equation for length of pipes will be -
6x + y = 35...(2)
Subtracting equation (1) from (2) -
5x = 25
x = 5
Substituting the value of x in equation (1) -
5 + y = 10
y = 10 - 5
y = 5
Therefore, the number of copper and plastic wires is 5 each.
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