5)A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.

The equivalent expression of the given expressions is 2x + 5.

Expressions are statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given expression is,

3 + 2x - 9 - 4x + 11 + 5x - x

There are like terms in the expression, which can be operated together.

Write terms with variables together and the constants together.

3 + 2x - 9 - 4x + 11 + 5x - x

= (2x - 4x + 5x - x) + (3 - 9 + 11)

= 2x + 5

Hence the given expression can be simplified to 2x + 5.

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Answer:

1440

Step-by-step explanation:

You add 180° for each side.

Bristol's next minimum monthly payment is $171.97

How was the minimum monthly payment of $146.52 computed?

The minimum monthly payment of $146.52 was computed from the current statement balance as 3.5% of $4,186.19

minimum monthly payment=$4,186.19*3.5%

minimum monthly payment=$146.52

The balance at the beginning next month is current statement balance minus the minimum monthly payment plus purchases of $750.00 and the interest for the month

beginning balance next month before interest=($4,186.19-$146.52)+ $750.00

beginning balance next month before interest=$4,789.67

beginning balance next month after interest=$4,789.67*(1+30.99%/12)

beginning balance next month after interest=$4,913.36

Bristol's next minimum monthly payment=3.5%*$4,913.36

Bristol's next minimum monthly payment=$ 171.97

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First, chance the fractions so the denominators are the same. The GCF of these is 10, so multiple both numerators and denominators so the denominator is 10.

1/2 = 5/10

3/5 = 6/10

Add the wholes and the fractions:

5 11/10

Since the numerator is higher than the denominator, we can make another whole:

11/10 - 10/10 = 1/10

So 5 becomes 6 because of the whole:

5 + 1 = 6

The fraction becomes 1/10:

So the final answer is:

6 1/10

(Important Note: Unless asked, you must always put fractions into its smallest form, meaning numerator can NEVER be higher than the demoninator. When you do this process, do not forget to add the whole number or else you will be incorrect.)

(Second note: its not GCF its closest product they have.)

Answer:

6 1/10

Step-by-step explanation:

convert mixed fraction to improper fraction

4 1/2 + 1 3/5

= (4*2 + 1) / 2 +  (1*5 + 3) / 5

= 9/2 + 8/5

= lcm of 2 and 5 = 10

= (5 * 9 + 8 * 2)  /10

= (45 + 16)  /10

= 61/10

= (60 + 1) / 10

= 6 1/10

Hope it helps.

By answering the above question, we may state that As a result, y = function 3(x2)2+6 is identical to the function y = 3x212x+18.

Mathematicians research numbers, their variants, equations, forms, and related structures, as well as possible locations for these things. The relationship between a group of inputs, each of which has a corresponding output, is referred to as a function. Every input contributes to a single, distinct output in a connection between inputs and outputs known as a function. A domain, codomain, or scope is assigned to each function. Often, functions are denoted with the letter f. (x). The key is an x. There are four main categories of accessible functions: on functions, one-to-one capabilities, so many capabilities, in capabilities, and on functions.

The vertex of the function y = 3(x2)2+6 lies at (2, 6), and the coefficient 3 denotes that the parabola widens upwards.

This function needs to be expanded and simplified in order to be written in standard form:

y = 3(x−2)2+6 y = 3(x−2)(x−2)

6 y equals 3 (x24x+4) + 6 y equals 3 (x212x+18)

As a result, y = 3(x2)2+6 is identical to the function y = 3x212x+18.

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The correct equation is: A. 300 = 30w - 60. To find the number of weekly payments required to complete the purchase, we need to set up an equation that represents the total cost of the television.

The equation should take into account the initial payment and the weekly payments.

Let's break down the information given and set up the equation:

The price of the television is $300.

An initial payment of $60 is made.

Weekly payments of $30 are made.

The total cost of the television can be represented as the sum of the initial payment and the product of the weekly payment and the number of weekly payments, w.

This equation represents the total cost of the television ($300) equal to the sum of the weekly payments ($30w) minus the initial payment (-$60).

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Answer:

The value of x is 7 cm.

Step-by-step explanation:

we can see that there are two triangles. smaller triangle and larger triangle.

382 students

To estimate the mean change in SAT scores to within 2 points with 95% confidence, you would need a sample of at least 382 high school students. This is because the margin of error (2 points) must be smaller than the standard deviation (50 points). Thus, we use the formula margin of error = (z-score) x (standard deviation/√n), where n is the sample size, to calculate the required sample size. Solving for n yields 382 students.

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The level of measurement of the data "restaurant rating (superior, good, average, poor, inferior)" is ordinal.

Ordinal level of measurement refers to data that has a natural order or ranking, but the difference between each category is not necessarily equal. In this case, the restaurant ratings have a clear order, with superior being the highest and inferior being the lowest, but the difference between each category is not specified or quantifiable.

An ordinal scale allows for the ranking or ordering of data but not for mathematical operations such as addition, subtraction, or division. This is because the intervals between categories are not equal and cannot be assumed to be so.

In summary, the restaurant rating data is an example of ordinal level of measurement as it has a clear order or ranking, but the intervals between categories are not equal and cannot be used for mathematical operations.

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Answer:

11/25

Step-by-step explanation:

Answer: x\(\leq\)7

Step-by-step explanation: First move the -19 then it would be 19+23\(\leq\)6x

42\(\leq\)6x

x\(\leq\)7

The matrix of  (cB)(C+C) is  \(\begin{pmatrix}-4&-4\\ 12&-8\end{pmatrix}\).

Given c=-2 , B=\(\begin{pmatrix}1&-1\\ 2&3\end{pmatrix}\) and C=\(\begin{pmatrix}0&1\\ -1&0\end{pmatrix}\)

We have to find (cB)(C+C):

Let us find cB = -2\(\begin{pmatrix}1&-1\\ 2&3\end{pmatrix}\) .

Multiply c value with each element of matrix B.

cB=\(\begin{pmatrix}-2&2\\ -4&-6\end{pmatrix}\)

Add C with C:

\(C+C=\begin{pmatrix}0&1\\ -1&0\end{pmatrix} + \begin{pmatrix}0&1\\ -1&0\end{pmatrix}\)

=\(\begin{pmatrix}0&2\\ -2&0\end{pmatrix}\)

Now we find \((CB)(C+C)=\begin{pmatrix}-2&2\\ -4&-6\end{pmatrix}.\begin{pmatrix}0&2\\ -2&0\end{pmatrix}\)

= \(\begin{pmatrix}-4&-4\\ 12&-8\end{pmatrix}\)

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Step-by-step explanation:

Step I: [Take only first 5 digits] A five digit number divisible by 5 can only end with '5'(0 is not allowed)

=> Middle digit is 5. Number is _ _ _ _ 5 _ _ _ _

Step II: All even digits should be even. because they'll be divided by an even number.

Step III: [Take only first 8 digits]An eight digit number with 6th digit as even number, last 2 digit can have only 4 combinations, . These are 96, 16, 72, 32. Number will be as follows:

(EDIT: Considering that it is divisible by 8 and 7th digit is odd)

_ _ _ _ 5 _ 1 6 _

_ _ _ _ 5 _ 9 6 _

_ _ _ _ 5 _ 7 2 _

_ _ _ _ 5 _ 3 2 _

Step IV: [Take only first 4 digits]A four digit number divisible by four ends only with 2 or 6. Keeping in mind that these number don't repeat only 4 Combinations are possible:

(EDIT: Using the fact that 3rd digit is odd and is divisible by 4)

_ _ _ 2 5 _ 1 6 _

_ _ _ 2 5 _ 9 6 _

_ _ _ 6 5 _ 7 2 _

_ _ _ 6 5 _ 3 2 _

Step V: [Take only first 6 digits]For a number to be divisible by 6; 6th number should be even and last three digit should add up to make a multiple of 3. Only 4 Combinations possible

_ _ _ 2 5 8 1 6 _

_ _ _ 2 5 8 9 6 _

_ _ _ 6 5 4 7 2 _

_ _ _ 6 5 4 3 2 _

Step VI: Now only one even number is remaining for occupying 2nd place in each of the above combination. For example in Ist case: 4 is the only remaining even number to be consumed. The combination will go as follows:

_ 4 _ 2 5 8 1 6 _

_ 4 _ 2 5 8 9 6 _

_ 8 _ 6 5 4 7 2 _

_ 8 _ 6 5 4 3 2 _

Step VII: Total 10 combinations remain:

1 4 9 2 5 8 1 6 _

9 4 1 2 5 8 9 6 _

3 8 1 6 5 4 7 2 _

1 8 3 6 5 4 3 2 _

3 8 1 6 5 4 7 2 _

1 8 3 6 5 4 3 6 _

1 8 9 6 5 4 7 2 _

9 8 1 6 5 4 3 2 _

1 8 9 6 5 4 7 2 _

9 8 1 6 5 4 3 2 _

Step VIII: Taking only first 7 digits of all of the above numbers. Only 3816547 is divisible by Seven

Complete number 381654729 is divisible by 9.

I am sure only 381654729 thus satisfies the answer.

Feel free to correct me if im work

If the actual temperature of steam is 99 °C and is assumed to be 100 °C in calculations, the error introduced can be significant depending on the specific calculations being performed.

Similarly, if the actual temperature of steam is 101 °C and is assumed to be 100 °C, the error introduced can also be significant.

The amount of error introduced when assuming the temperature of steam to be 100 °C instead of the actual temperature of 99 °C or 101 °C depends on the specific calculations being performed.

Similarly, in industrial processes, assuming an incorrect temperature of steam could result in inefficiencies or even safety hazards. Therefore, the difference between the actual temperature of steam and the assumed temperature of 100 °C should not be considered negligible in many cases.

In conclusion, the error introduced by assuming a temperature of 100 °C instead of the actual temperature of steam depends on the specific calculations being performed and can be significant in some cases. It is always best to use accurate and precise measurements in scientific and engineering calculations to minimize the potential for error.

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Complete Question:

1. If you use 100 °C for the temperature of steam in your calculations, how much error do you introduce if it is actually 99 °C or 101 °C? Is this difference negligible?

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

and this ratio is called the scale factor

so

In this problem

scale factor =12/18

Simplify

=6/9

=2/3

therefore

the answer is option C

Analysis of variance is used to test for equality of several population means.

ANOVA could also be utilized to predict the dependent variable of even more with around 2 categories and seems to be compared to the general population extra influential throughout this circumstance.

Throughout addition, ANOVA variants typically include covariates that encourage somebody to manipulate numerically for confounding factors as well as to recognize interactions wherein the factor progressives the implications of some other factor.

ANOVA (Analysis of Variance) was developed by Ronald Fisher.

ANOVA means the Analysis of Variance, is collection of statistical models & linked estimation processes, like variation among & between groups. It is used in analyzing differences among various means.

Therefore, Analysis of variance is used to test for equality of several population means.

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Answer:

B is the answer

Step-by-step explanation:

(√(1.5³ * 1.5⁷))/1.5²

√ 1.5 ^(3+7) ÷ 1.5²

√1.5^10 ÷ 1.5²

1.5⁵ ÷ 1.5²

1.5^(5-2)

1.5³

Answer:

I think it is c I hope it helps have a good day

Answer:

B

Step-by-step explanation:

B

The two of the possible solutions to the equation sin(5x - π) = (√2)/2 are,

⇒ (π/4, 7π/4).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Here, The given equation is;

sin(5x - π) = (√2)/2

Now, We can write 2 as √2 × √2

So, We get;

sin(5x - π) = √2/√2*√2

sin(5x - π) = 1/√2

Taking sin⁻¹ on both side,

sin⁻¹ (sin(5x - π)) = sin⁻¹ (1/√2)

5x - π = sin⁻¹ (1/√2)

Hence, From the trigonometry table we know that sin⁻¹ (1/√2) = π/4

Thus,

5x - π = π/4

5x = π + π/4

5x = 5/4π

Divide by 5 on both side, we get

x = π/4

Now, since x < 2π, then it means it is in the fourth quadrant. Thus;

x = 7π/4

So, the two of the possible solutions to the equation sin(5x - π) = (√2)/2 is (π/4, 7π/4).

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To find the length of the hypotenuse in a right-angled triangle, we can use trigonometry. Using the given values of RS and angle Q, we can solve for QS ≈ 24.08 cm to the nearest hundredths place.

To find the length of the hypotenuse in a right-angled triangle with a given angle and one side, we can use trigonometry. In this case, we are given the angle Q, which is 65°, and the length of one of the sides, RS, which is 22 cm. We can use the sine function to relate the opposite side, RS, to the hypotenuse, QS. Solving for QS gives us QS = RS / sin(65°), which we can then evaluate to find QS ≈ 24.08 cm. Therefore, x ≈ 24.08 cm to the nearest hundredths place.

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The missing figure is in the image attached below

Answer:

17 = k

Step-by-step explanation:

d(x) = 7x – k

Let  d(3) = 4

4 = 7*3 -k

4 = 21 -k

Subtract 21 from each side

4 -21 = 21-k-21

-17 = -k

Multiply each side by -1

17 = k

Answer:

k=17

4= 7*3 -k

k=21-4

k= 17

5 more than a number is greater or equal to 27

The "number" can be represented as x.

\(\boxed{x+5\geq 27}\)

Answer:

A.-4

Step-by-step explanation:

on edg

The solution to the logarithmic equation is x = 4.

Option C is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can solve this logarithmic equation using the properties of logarithms.

First, we can use the property that:

log(a) - log(b) = log(a/b)

Now,

2log(x) - log 8 + log(x-2)

= log(x²) - log 8 + log(x - 2) (using the property 2log(a) = log(a²))

= log[(x²(x-2)) / 8]

Now,

We want to find the value of x that makes this expression equal to zero. So we can set the argument of the logarithm to 1:

(x²(x-2)) / 8 = 1

Multiplying both sides by 8, we get:

x³ - 2x² - 8 = 0

Now we can solve for x by factoring the equation:

x³ - 2x² - 8 = 0

(x - 4)(x² + 2x + 2) = 0

The quadratic factor does not have real roots, so the only real solution to the equation is:

x - 4 = 0

x = 4

Therefore,

The solution to the logarithmic equation is x = 4.

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Number of ways that the researcher can select 4 boxes, consisting of 2 boxes of regular and 2 boxes of diet, for a quality control test is 441

To select 4 boxes consisting of 2 regular and 2 diet from 7 boxes of each, we need to use combinations.

The number of ways to select 2 regular boxes out of 7 is

C(7,2) = 21

Similarly, the number of ways to select 2 diet boxes out of 7 is also 21.

Now we need to choose 2 regular boxes out of 2 and 2 diet boxes out of 2, which can only be done in one way.

So the total number of ways to select 4 boxes consisting of 2 regular and 2 diet is

21 x 21 x 1 x 1 = 441

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Step-by-step explanation:

To find the equation of the tangent plane to the surface at (3, 4, ln 5), we need to first find the partial derivatives of h with respect to x and y:

hx(x, y) = 2y^2/x

hy(x, y) = 2x^2/y

Then, we can plug in the point (3, 4) to get the partial derivatives evaluated at that point:

hx(3, 4) = 2(4^2)/3 = 32/3

hy(3, 4) = 2(3^2)/4 = 9/2

Now we can use the point-normal form of the equation of a plane, where the normal vector is given by ⟨hx(3, 4), hy(3, 4), -1⟩:

hx(3, 4)(x - 3) + hy(3, 4)(y - 4) - (z - ln 5) = 0

Substituting in the values for hx(3, 4) and hy(3, 4), we get:

(32/3)(x - 3) + (9/2)(y - 4) - (z - ln 5) = 0

Simplifying, we get:

(32/3)x + (9/2)y - z = 55/6

So the equation of the tangent plane to the surface at (3, 4, ln 5) is (32/3)x + (9/2)y - z = 55/6.

\(x+ y =15~~...(i)\\\\x-y = 5~~...(ii)\\\\\text{(i) +(ii):}\\\\x+y+x-y = 15+5\\\\\implies 2x = 20\\\\\implies x = \dfrac{20} 2 = 10\\\\\text{(i)-(ii):}\\\\x+y -x +y = 15 -5\\\\\implies 2y = 10\\\\\implies y=\dfrac{10}2 = 5\\\\\text{Hence the numbers are 10 and 5}\)

Answer:

-h - 6

Step-by-step explanation:

(6h + 2) + (-7h - 8) <== remove parenthesis

6h + 2 - 7h - 8 <== combine like terms

6h - 7h + 2 - 8

-h - 6

Hope this helps!