To join a health club, a person must pay a $75 one-time fee plus a charge of $30 per month. This situation can be represented by an equation of the form
y
=
m
x
+
b
, where x = the time in months and y = the total cost in dollars. What is the value of m in the equation?

Rick should order part number G371-7 So the option A is the correct Answer

What is a part number ?

Part designs or materials are identified by part numbers, which are sometimes abbreviated as PN, P/N, part no., or part #. Its goal is to make referencing to that thing simpler. A part number clearly identifies a part design both inside and occasionally outside of a single organization. For instance, it is simpler to identify a screw as "HSC0424PP" rather than "Hardware, screw, machine, 4-40, 3/4" long, pan head, Phillips." The part number in this illustration is "HSC0424PP," which may be prefixed in database fields as "PN HSC0424PP" or "P/N HSC0424PP."

A serial number is a specific identifier of a specific instantiation of a part design, much as a part number identifies a component design (regardless of its instantiations). To put it another way, a part number designates each specific (physical) item as having been manufactured to a specific, original design;

As part number G371-7 fits perfectly to the desired requirement of float diameter of less than 8 inches, weigh more than 1 pound, and fit a 5/16-SAE spud connection that's why it is the correct answer

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Answer:(x,y)=(1/3 , 4/3)

Step-by-step explanation:

Theres no point 'Z', so i'm gussing you want the angle of <KLJ?

<K and <M are the same, therefore <M = 130

<J + <K + <M + <L = 360

130 + 130 = 260,  360 - 260 = 100

<J and <L are the same

<MJK = 50 and <KLM = 50

<KLM/2 = <KLJ

50/2 = 25

Answer:

Step-by-step explanation:

Hope it helps!

The point estimate of the proportion of the population adults who think that today's children will be better off than their parents is 0.24.

The point estimate of P, is defined as the proportion of successes in the sample.

P' = X/N ; where X = number of successes; N = total trials.

Here, N = 1000

According to the Child outlook file, number of "yes" = 240.

Hence, P' = 240/1000

P' = 0.24

Therefore, the point estimate of the proportion of the population adults who think that today's children will be better off than their parents is 0.24.

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Answer:

Van Dressler's total sales amount is $12,166.6666667

Step-by-step explanation:

3% = $365

365/3*100 =$12,166.6666667

Answer:

x=8/9

Step-by-step explanation:

step one: move x to one side. to do this, we are going to use inverse operations which means adding 3x to both sides.

3x+-3x cancels itself out and 3x+6x=9x.

now, the equation looks like: 9x-7=1

step two: isolate the variable, x. we want to just get x to be by itself so we need to get rid of the -7 next to it by using inverse operations again. this means we're going to add 7 to both sides.

7+-7 cancels itself out and 7+1=8.

now, the equation looks like 9x=8

step three: divide to get x by itself. we want to know what x alone is, not 9x. to do this we are going to use inverse operations one last time. this means dividing each side by 9, because 9x means "9 times x".

9x/9= x, 8/9

so the answer is x=8/9

hope this helped!!

The values (-7.5)-21.04 and (-7.5)+21.04 are not the same

A decimal can be defined as a number consisting of a whole number and also a fractional part.

These numbers are separated by a dot known as the decimal point

The decimal numeral system is seen as a standard system that denotes integer and non-integer numbers.

It is important to note the following operations;

From the information given, we have;

(-7.5)-21.04

Multiply the operation

+ 157. 8

Then,

(-7.5)+21.04

Multiply the operation

- 157. 8

Hence, the values are either negative or positive.

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In order to regain the amount of water Joe losed during practice he should drink 10 cups of water.

A pound is equivalent to 453.59 mg, whereas a cup is equivalent to 236.59 ml.

You may roughly calculate that 2 cups equal 1 pound of water. The density should be 1 mg/ml if the fluid is mostly water.

The number of cups will be,

6 pounds * 453.59 (mg/pounds) * (1mg/ml) / (236.59 ml/cups)

= 10 cups .

Water is a crucial component for all living things, including people and other animals. Naturally, the water must go somewhere when it ascends the plant. Water loss will result from water evaporation (transpiration in plants)

Our breath, skin, urine, and sweat all cause water loss. A person's body will typically consume 2.5 L of water every day and expend the same amount. Your body will "inform you" you are thirsty and need to drink water if you get dehydrated (Figure 5). You have undoubtedly also noticed that when you drink less water, your pee is more concentrated.

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The formula to solve for height(h) is given as, if the volume of the cylinder is, V = π r² h, is h = V /  π r².

An object's volume is a measurement of the amount of space it occupies in three dimensions. This indicates that an elephant's volume is more than a mosquito's volume.

Given:

V = π r² h

Here, r is the radius of the cylinder, V is the volume, and h is the height of the cylinder. The value of π is 3.14.

Take the remaining term of the right side to the left as shown below,

V /  π r²  = h

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Answer: 19.71 Million.

ANSWER : -1 , 3 , (-1 - 2i) , (-1 + 2i)

steps

find the zeros JUST MEANS SOLVE FOR X

x⁴-2x²-16x-15=0

break it up

let u = x²

x⁴ = (x²)² = u²

-16x+u²-2u-15=0

hold off on -16x

u²-2u-15=0

what 2 numbers when multiplied give you -15 & when added give you -2?

-5 and 3

(u-5) (u+3)

-16x + (u-5) (u+3) = 0

go back x

-16x + (x²-5) (x²+3) = 0

factor -1 out

( looks horrible so far lol )

-1 ((- x²+ 5) (x²+3) + 16x) = 0

multiply (- x²+ 5) with ( x² + 3 )

-1 (( - x² ( x² + 3 ) + 5 ( x² + 3 ) ) + 16x ) = 0

-1 (( - x² ( x² + 3 ) + 5 ( x² + 3 ) ) + 16x ) = 0

-1 (( - x² ( x² + 3 ) + 5 ( x² + 3 ) ) + 16x ) = 0

-1 (( - x² * x² + -x² * 3 ) + 5x² + 15 ) + 16x ) = 0

-1 (( - x⁴ + -2x² + 15 ) + 16x ) = 0

The only person that is correct with respect to the measurement of  ∠CEA of the congruent triangles is; Carlos

From the diagram attached, we are given that;

The measure of ∠CAE = 80°

∠BDE = 60°

Amy says that m∠CEA = 20°

Brent says that it is 30°

Carlos says that it is 40°

Debra says it is 50°

Now, by inspection, it is clear that ΔCAE is congruent to ΔBDE by SAS Congruency postulate and as such we can say that;

∠A = ∠B and ∠C = ∠D

Thus;

∠B = 80° and ∠C = 60°

Sum of angles in a triangle is 180 degrees and so;

∠CEA = 180 - (80 + 60)

∠CEA = 180 - 140

∠CEA = 40°

Which means that Carlos is correct.

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Answer:

Given: △ABC, m∠A=120°, AB=AC=1 Find: The radius of circumscribed circle

Step-by-step explanation:

:]

The area of the rhombus is  49√6. Option B

The formula for calculating the area of a rhombus is expressed as;

Area = pq/2

Where;

p and q are the diagonals of the rhombus

From the diagram shown, let's determine the value of p

Using the trigonometric identity;

Tan θ = opposite/adjacent

Substitute the values into the formula, we have;

tan 60 = p/7

Find the value of tan 60 and then substitute

√3 = p/7

cross multiply

p = 7√3

But;

Area = 7√3 × 7√3/2

Area = 49√6

Hence, the value is 49√6

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Function representing the sequence will be f(n) = (23 - 3n

The first five terms of an arithmetic sequence are as 20, 17, 14, 11, 8....

Let n represents the number of term and f(n) the the term in the sequence.

Then we have to find the function that represents the sequence.

As we know explicit formula of an arithmetic sequence is given by

Or the function representing the sequence will be

f(n) = a + (n-1)d

where a represents first term of the sequence a = 20

and common difference d = 17-20 = (-3).

Now the function which represents this sequence will be

f(n) = 20 + (n-1)(-3) = 20 - 3n + 3 = 23 - 3n

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Answer:All I know is that it’s not < or > but It might be ≤

Step-by-step explanation: Bye the way, you can only give brainliest when there is two questions.

[tex]\leq[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

The number of commercials and movies on which the songs were played are 5 and 2.respectively

From the question, we have the following parameters that can be used in our computation:

The number of commercials is x, and the number of movies is y

The above parameters when represented as an equation is as follows

40x + 120y = 440

x = y + 3

Substitute x = y + 3 in 40x + 120y = 440

40(y + 3) + 120y = 440

Expand

40y + 120 + 120y = 440

Evaluate the like terms

160y = 320

Divide by 160

y = 2

Recall that

x = y + 3

So, we have

x = 2 + 3

x = 5

Hence, the number of commercials is 5 times

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An Amazon package shipped to Samantha. with height of 15cm, length of 100cm, and width of 20 cm, the volume of the package is

Volume of a box is calculated by the product of length, width and height OR area multiplied by height

The area is solve by the product of length and width

area = length * width

length = 100  

width = 20

area = 100 * 20

area = 2000 square cm

volume =  area * height

volume = 2000 * 15

volume = 30 000 cubic cm

The volume of the package is 30 000 square cm

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Answer: 8

Step-by-step explanation:

8 times 8 is 64

The pair (3, 6) is not a solution of the linear inequality y < -5x + 1.

What is linear inequality?

A linear inequality is an inequality that involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.

y < -5x + 1

Substitute the points and see if they are true

(3, 6)

6 < -5*(3) + 1

6 < -15 + 1

6 < -14  

Not true not a solution

Hence, the pair (3, 6) is not a solution of the linear inequality y < -5x + 1.

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The value of  h’(1) is = 22

How may the chain rule example be used?

Solution: Since f′(x)=ex, the exponential function with base e's derivative is simply the function itself. G′(x)=4 is the derivative of g. The chain rule states that h′(x)=f′(g(x))g′(x)=f′(4x)4=4e4x. It was crucial that we assessed f's derivative at 4x in this example.

Given that :

h(x) = 2f(x).g(x)

f(1) = 3, g(1) = 2, f’(1) = 4, g’(1) = 1

h’(x) = 2 f'(x)g(x) + g'(x)f(x) by chain rule

h’(1) = 2 f'(1)g(1) + g'(1)f(1)

= 2 * (4 * 2 + 1 * 3)

= 2* (11)

= 22

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The coordinates of the vertices after a reflection over the line y = -5 is given as follows:

T'(-2,-5), U'(2,-7), V'(-2,-9), W'(-3,-7).

The vertices of the original quadrilateral are given as follows:

T(-2,-5), U(2,-3), V(-2,-1), W(-3,-3).

The reflection line y = -5 is an horizontal line, meaning that after the reflection:

For example, the distance of the y-coordinate of the vertex U from -2 is of:

2 units above.

Then the y-coordinate of the vertex U' will be also 2 units from -5, just two units below, hence:

U'(2,-7).

Applying this rule for all the other vertices, they will be given as follows:

T'(-2,-5), U'(2,-7), V'(-2,-9), W'(-3,-7).

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The missing statements and reasons to proof that ∠1 is supplementary to ∠3 are:

S1: Line m is parallel to line n.

S2: ∠1 = ∠2

R3:  Corresponding angles postulate

R5: Supplement Postulate

S7:  m∠1 + m∠3 = m∠2 + m∠3

What are Supplementary Angles?

Supplementary angles, when added together will give us a sum of 180°.

Linear pair angles and corresponding angles are supplementary.

Thus, to prove that ∠1 is supplementary to ∠3:

We are given that lines m and n are parallel.

∠1 and ∠3 are corresponding angles.

So therefore, ∠1 = ∠3 by the corresponding angles postulate.

∠2 and ∠3 are linear pair, their sum therefore equals 180° based on the definition of supplementary angles.

Based on the substitution property, we have the following:

m∠2 + m∠3 = m∠1 + m∠3

m∠1+m∠3=180°

Therefore, ∠1 is supplementary to ∠3 based on the definition of supplementary.

The missing statements and reasons to proof that ∠1 is supplementary to ∠3 are:

S1: Line m is parallel to line n.

S2: ∠1 = ∠2

R3:  Corresponding angles postulate

R5: Supplement Postulate

S7:  m∠1 + m∠3 = m∠2 + m∠3

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Answer:

d.) 100

Step-by-step explanation:

To solve, first find the value of g(-2):

[tex]g(-2)=5(-2)\\g(-2)=-10[/tex]

Next, use this value to find f(-10):

[tex]f(-10)=(-10)^2\\f(-10)=100[/tex]

When 36 reindeer are chosen at random, the probability that the mean weight is less than 100 kg is 0.1492.

A standard error is the standard deviation of its sampling distribution or an interpretation of that standard deviation.

Given,

Mean of the weights = 102.4 kg

Standard deviation = 13.9 kg

To determine the probability that the mean weight of 36 reindeer will be less than 100 kg, first compute the standard error using the formula,standard error, [tex]\sigma_x=\frac{\sigma}{\sqrt{n}}[/tex]

Where, [tex]\sigma[/tex]=standard deviation

n= number of reindeer

substitute the values in the formula,

[tex]\sigma_x=\frac{13.9}{\sqrt{36}}\\\\\sigma_x=2.31667[/tex]

Now,

[tex]P(x < 100)=P(x < \frac{100-102.4}{2.316})\\\\=P(z < -1.04)[/tex]

from z-score table,

=0.1492

Thus, the probability the their mean weight is less than 100 kg is 0.1492.

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Your question is incomplete, here is the complete question.

The weight of male reindeer of the R. Santa Claus subspecies is normally distributed with mean 102.4 kg and standard deviation 13.9 kg

if 36 reindeer are randomly selected, what is the probability their mean weight is less than 100kg?

If the company has made 6732.16 in³ wax , Total number of candles made is 67

According to the question,

It is given that a wax candle is in cylindrical shape

Diameter of candle = 4 in

Radius will be = 4 / 2

=> 2 in

Height of each candles = 8 in

Company has used 6732.16 in³ of wax

We have to calculate number of candles company has made

Volume of cylinder = πr²h

Where r is radius and h is height

Substituting all the values,

Volume of candle = π (2)² (8)

=> V = 3.14 × 4 × 8   (putting π = 3.14)

=> V = 100.48

Therefore , Number of candles made = Total volume /volume of one candles

=> 6732.16 / 100.48

=> 67 candles are made by company

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