How to find the slope intercept form for the equation of the line through (5,1) and (3,-7)

Based on the fact that Shane gets an extra 5% of his regular score, solving for his mark graphically with the equation,  g(x) = x + 0.05 will give us the attached graph.

The equation for Shane's score is g(x) = x + 0.05.

When interpreted, this graph means that for every point on the x-axis, the corresponding y-value will be 5% more than the x-value.

A score of 74 on the x-axis would correspond with 79 on the y-axis for instance. This is what is shown in the attached graph which makes it the correct graph.

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The values of the expression are 34, 2,18 and 11 respectively

The meaning of the expression PEMDAS is as shown below;

P is the parenthesis

E is the expoenent

M is the multiplication

D is the division

A is the addition

S is the subtraction

Simplifying the given expression

2 + 32

18 – 17 + 1

24 ÷ 4 × 3

21 – 5 × 2

2 + 32 =2 + (30 + 2)

2 + 32 = 2 + 30 + 2

2 + 32 = 34

For the expression 18 - 17 + 1

18 - 17 + 1 = 1 + 1

18 - 17 + 1 = 2

For the expression 24 ÷ 4 × 3 (Division first then multiplication)

24 ÷ 4 × 3 = (24 ÷ 4) × 3

24 ÷ 4 × 3 = 6 × 3

24 ÷ 4 × 3 = 18

For the expression 21 – 5 × 2

21 – (5 × 2)= 21 - 10

21 – 5 × 2 = 11

Hence the values of the expression are 34, 2,18 and 11 respectively

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The potential irregularities in the given data are; The third term and the eight term.

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.

Now, we are given the amount of monthly data usage by sample of 10 cellphone users (in GB) as: 4.7, 6.3, 2.5 GB, 0.8, 1.8, 7.8, 0.7, 1081, 0.6, 4.6.

By careful observation, we can tell that majority of the 10 samples are decimals and less than 10. Thus, the first irregularity or outlier is 1081.

Now, the given data is said to be all in GB and as such there is no need to still add GB to 2.5. Thus, the second irregularity or outlier is 1081.

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The final price Cheryl will pay for the shirt, using the mathematical expression that includes the sales tax, is $34.56.

A mathematical expression is a mathematical statement with two different numbers (known or unknown) and at least one mathematical operation.

The basic mathematical operations include addition, subtraction, division, and multiplication.

For, instance, the total cost of a T-shirt after factoring in the sales tax of 8% can be represented with this mathematical expression, T= 1.08p.

Cost of a shirt, p = $32

Sales tax = 8%

The mathematical expression of the total cost = 1.08p

The total cost = $34.56 ($32 x 1.08)

Thus, the final price Cheryl will pay for the shirt is $34.56.

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Answer:

Yes, you are correct.
We are told that he stops 5 times in total after walking equal distances per stop, meaning he split the total distance he had to walk into 5 parts.

The length of the distance between one stop to another would be equal to [tex]\frac{2250}{5}[/tex].

The equation of the line is: y = -3/5x + 1.

The slope (m) of two lines that lie perpendicular to each other are negative reciprocals.

Given, y = 5/3x - 3, the slope (m) of the line is 5/3. The negative reciprocal of 5/3 is -3/5.

Thus, the line that is perpendicular to it will have a slope (m) of -3/5.

Substitute m = -3/5 and (a, b) = (5, -2) into y - b = m(x - a):

y - (-2) = -3/5(x - 5)

y + 2 = -3/5x + 3

y + 2 - 2 = -3/5x + 3 - 2

y = -3/5x + 1

Thus, the equation of the line is: y = -3/5x + 1.

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Answer: A a aa a a a a a

Step-by-step explanation:

the expression that represents the perimeter of the rectangle is 19d-5.4f.

Perimeter can be defined as the total distance around an object.

To calculate the expression representing perimeter of  the rectangle, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the expression that represents the perimeter of the rectangle is 19d-5.4f.

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Answer:

Step-by-step explanation:

dude its just 28+35=61

Answer:

4 1/2 cups of flour

4 1/2 tablespoons baking powder

4 1/2 teaspoon salt

4 1/2 eggs

5 cups of milk

5 cups of blueberries

Step-by-step explanation:

7x-4

Step-by-step explanation:

2x-4+5x

add

7x-4

Answer:

Step-by-step explanation:

Im pretty sure u know this... but i'll do it anyway to get points.

6. 4 chores = 30 minutes of television time

He needs 120 minutes of television time

So he will need to multiply both sides by 4 to get the amount of chores he needs to do to watch the movie.

Therefore, he does 16 chores( 4 x 4 ) to earn enough television time.

7. Make the amount of minutes the same to see how the speed they walk at.

If we convert Isabelle's robot' s speed to feet in 4 minutes, we can just compare both robots normally.

20/2= 10 feet in 4 minutes(Isabelle's robot) < 12 feet in 4 minutes(Brian's robot)

Therefore, Brians robot walks faster.

Answer:

0.408

Step-by-step explanation:

Convert -6.8 and -0.06 to 34/5 and 3/50(The math explains why)
[tex]0 - 68/10 \times 0 - 3/50\\0 - 34/5 \times (-3)/50\\= 51/125\\= 0.408[/tex]

Answer: 0.408

Step-by-step explanation:

Based on the fact that sales tax in Connecticut is 6.35%, the price of a single pack of gum can be shown by the function, p(g) = 4g + 0.254g

The price of a single pack of gum is g and Sarah bought 4 packets.

The total cost of her purchase is:
= (4 x price of single pack) x ( 1 + Sales tax rate)

When expressed in terms of g, the function is:

= 4g x (1 + 6.35%)

p(g) = 4g + 0.254g

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The number of significant figures in the number 6.4×10³ are two which is '6 and 4'.

Significant figures notation is the method of determining the numbers in any representation which are necessary and holds some specific value. All the numbers which do not hold any specific value or position are not considered as significant figures. There are certain rules to determine the significant figures. These rules are that all non-zero numbers are significant, zeroes between two non-zero number are considered significant, zeroes before non-zero number are not significant.

In the question the number 6.4×10³ has only two significant digits which is '6 and 4' and the number 10 and 4 will not be counted as significant digits.

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The density of the copper piece is 17. 82g/cm³

The formula for determining density is expressed as;

D = m/ v

Density is denoted with rho 'ρ'

Where;

Substitute the values into the formula

Density, ρ = 39. 2/ 4. 4

Divide through

Density, ρ = 17. 82 g/cm³

The density of the copper piece is 17. 82g/cm³

Thus, the density of the copper piece is 17. 82g/cm³

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A situation that can be modeled by a polynomial function is: Velocity of a Formula 1 car during a lap.

Polynomial functions should be used to model situations that change directions multiple times, between increase and decrease.

One possible example is the velocity of the Formula 1 car during a lap, as follows:

This behavior keeps happening until the end of the lap.

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There is 9,000 Joule energy present in the bulb

Gravitational Potential Energy

The energy that an object store due to its height in a gravitational field is known as gravitational potential energy.

It can be calculated by using  the equation below

U=m.g.h

Where:

m = mass of the object

h  = height

g  = acceleration due to gravity, or

Since the weight of an object of mass m can be calculated as:

W = m.g

The gravitational potential energy is:

U = W.h

The bell of weight W=180 N at the top of a tower is h=50 m high. Thus its energy is:

U = 180 N * 50 m

U = 9000 Joule

Hence, The bell has 9,000 Joule energy.

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Answer:

there are 22 zeros when the number is written in standard notation.

Answer:

if i got locked away , i will always remember , animals , flower , human

Step-by-step explanat

ion:

Answer:

Step-by-step explanation:

Using the z-distribution, it is found that:

a) The null hypothesis is [tex]H_0: p \geq 0.68[/tex] and the alternative hypothesis is [tex]H_1: p < 0.68[/tex].

b) A true null hypothesis would mean that there is not enough evidence that her ability has decreased.

c) There is not enough evidence for the alternative hypothesis.

d) This is because the test statistic is less than the critical value, and the p-value is greater than 0.05.

At the null hypothesis, it is tested if there is not enough evidence that her ability has decreased, that is, the proportion is still of at least 68%, hence:

[tex]H_0: p \geq 0.68[/tex]

At the alternative hypothesis, it is tested if there is enough evidence that her ability has decreased, that is, the proportion is less than 68%, hence:

[tex]H_1: p < 0.68[/tex]

Hence:

A true null hypothesis would mean that there is not enough evidence that her ability has decreased.

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, considering the situation described, the parameters are given as follows:

[tex]p = 0.68, n = 56, \overline{p} = \frac{34}{56} = 0.6071[/tex]

Hence the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.6071 - 0.68}{\sqrt{\frac{0.68(0.32)}{56}}}[/tex]

z = -1.17.

Considering a left-tailed test, as we are testing if the proportion is less than a value, the critical value is given by:

z* = -1.645.

The test statistic is less than the critical value, meaning that the p-value is greater than the standard significance level of 0.05 and there is not enough evidence for the alternative hypothesis.

Hence:

c) There is not enough evidence for the alternative hypothesis.

d) This is because the test statistic is less than the critical value, and the p-value is greater than 0.05.

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The statement that the digit in hundreds place is  1/10 the value of the digit in the thousands place 5568 is correct.

Place value is defined as the value that is represented by a digit in a number based on of its position in the number.

It is known as the exact value of each digit in a number.

It is also known as the position of digits in a given number set.

Example;

The place value of 5 in 50 is tens

The place value of 2 in 200 is hundreds

The place value of 0 in 50 is unit

From the information given, we have;

5568

Now, let's take the ratio

= 500/ 5000

= 1/ 10

Thus, the statement that the digit in hundreds place is  1/10 the value of the digit in the thousands place 5568 is correct.

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By using a dilation around the origin, the coordinates of vertex C' are C'(x, y) = (9, - 15).

In this problem we find the four vertices of a rectangle and a scale factor and we are asked to determine the coordinates of the image of one of its vertices by using a dilation. Under the assumption of dilation about the origin, then the transformation rule is defined below:

C'(x, y) = 3 · C(x, y)

Where:

If we know that C(x, y) = (3, - 5), then the coordinates of vertex C' are:

C'(x, y) = 3 · (3, - 5)

C'(x, y) = (9, - 15)

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The account balance at the end of the month is $283.61

What distinguishes withdrawals from deposits?

The deposits into the bank would increase the balance, hence, they have positive sign whereas the withdrawals would decrease the balance since their sign is negative, in other words, we can determine the account balance at the end of the month by adding deposits to beginning balance and deducting all withdrawals

ending balance=beginning balance+ deposits-withdrawals

beginning balance=$80.83

total deposits=$107.51+$102.07+$110.57

total deposits=$320.15

total withdrawals=-$99.71-$17.66

total withdrawals=-$117.37

ending balance=$80.83+$320.15-$117.37

ending balance=$283.61

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Answer:

<1≅<3  <2≅<5   <3≅<6

The measure of the central angle m∠UQR is 130 degrees.

Central angle is the angle formed by two arms and having the vertex at the centre of a circle.

The diameter of a circle runs from the centre of a circle.

The diameter SU and RT intersect each other at point Q.

Therefore,

m∠UQT = m∠RQS (Vertically opposite angles)

m∠UQR = m∠TQS (Vertically opposite angles)

Hence,

m∠RQS = 50°

Therefore,

m∠UQR = 360 - 50 + 50  / 2

m∠UQR = 360 - 100 / 2

m∠UQR = 260 / 2

m∠UQR = 130°

Therefore, the measure of the central angle m∠UQR is 130 degrees.

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Answer:

Answer:

1. C and d.

A.13/ 5 miles north and 8 miles east

B.8?( The question makes 80% no sense)

3. 51? (Not sure on this once since 51 isn’t really a child).

4.up 5 back 1 up 5 back 1 (is the pattern)

I hope i got it right! <3

Answer:

<

<

>

Step-by-step explanation:

Answer: >,<,>

Step-by-step explanation:

For the function g(x) we have:

There are multiple features we can find, in this case, the most important ones are:

Domain.

Y-intercept.

Range.

First let's find the domain.

We know that logarithmic functions can be only evaluated in arguments larger than zero, so:

x + 2  > 0

x > -2

The domain is the set of all real numbers larger than -2.

Now the range is trivial, for all logarithmic functions the range is the set of all real numbers.

Finally, for the y-intercept we need to evaluate in x = 0, so we get:

y-intercept = log(0 + 2) = log(2) = 0.3

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Answer:

multiply 57.20×4

Step-by-step explanation: