what is the slope of the line that passes through the points (7,-6) and (4,-6)? write your answer in simplest form

Divide by 5 both sides

3^x=60/5

3^x=12

Apply log both sides

log(3^x)=log(12)

xlog(3)=log(12)

x=log(12)/log(3)

using a calculator

Answer:

36 divided by (6-5) = 36

Step-by-step explanation:

6-5 = 1

36 divided by 1 = 36

In general, if the sample size is large, adding an extremely large outlier to a data set will not substantially affect the mean.

A very large outlier will typically not significantly change the mean of a data set if the sample size is large. However, adding an extremely large outlier to a data set with a small sample size can have a substantial effect on the mean.

This is because the mean is heavily influenced by the values of the individual data points, and an outlier can have a disproportionately large impact on the mean if the sample size is small.

To learn more about sample size link is here

brainly.com/question/25894237

#SPJ4

The correct formula to calculate the number of tires, t, needed for c cars per day is t = c/4, which is option b).


The formula that shows how to calculate the number of tires, t, needed for c cars per day is option b) t = c/4.

To understand this formula, let's break it down step by step:

1. Each car needs four regular tires and one spare tire for the trunk. So, the total number of tires needed for one car is 4 + 1 = 5.

2. If we want to calculate the total number of tires needed for c cars, we can multiply the number of cars by the number of tires needed per car, which is 5. So, the formula becomes t = 5c.

3. However, we need to find the number of tires needed, which is represented by t. Since we have t on the left side of the equation, we can rearrange the formula by dividing both sides by 5: t/5 = c.

4. Now, we have the number of tires needed (t) expressed in terms of the number of cars (c), but we want to find the number of cars needed given the number of tires (t).


To do this, we can rearrange the formula again by dividing both sides by 4: t/4 = c/4.

Therefore, the correct formula to calculate the number of tires, t, needed for c cars per day is t = c/4, which is option b).

To know more about car refer here:

https://brainly.com/question/30481652

#SPJ11

Answer:

I think b because line was on x-e

Answer:

3sqrt(2)

Step-by-step explanation:

72=6^2 x 2 so sqrt(72)=6sqrt(2)

divide by 2 to get 3sqrt(2)

Answer:

\(answer \: is \: = \: \sqrt[6]{2} \)

\(to \: know \: the \: answer \: with \: proof\)

\(refer \: to \: the \: above \: attatchmet \: \)

6m/m-3    + m/m+1

Simplify

Identify the common factor

{6m/m-3 + m/m+1

(m+1) . (6-3) /(m+1)  +  (m-3)/ (m+1)

Add fractions with the same denominator together.

terms to put constants on the left and reorder them

Solution

7m^{2}+3m   /  m^2-2m-3

The answered are 7  3  2 3

What does the algebraic expression M mean?

The slope of a line is represented by the letter "m" in algebra. A line's slope defines both its direction and steepness.

The order in which you perform operations in arithmetic and algebra is governed by a number of laws. The Commutative, Associative, and Distributive Laws are the three that receive the most attention. People have discovered over time that adding or multiplying doesn't depend on the order of the numbers

to learn more about algebraic expression

https://brainly.com/question/4541471

#SPJ13

The trigonometric function gives the ratio of different sides of a right-angle triangle. The measure of the indicated angle will be 32°.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\(\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\\)

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

The measure of the indicated angle can be found using the cosine function of trigonometry, therefore,

Cos(θ) = 11/13

θ = Cos⁻¹(11/13)

θ = 32.2°

Hence, the measure of the indicated angle will be 32°.

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

#SPJ1

In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.

Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.

The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.

Learn more about statistical experiments here: https://brainly.com/question/22044990

#SPJ4

Answer:

The length needed to cut off is 12.55 cm

Step-by-step explanation:

The corrected question is:

you need a piece of paper to measure 64.25 cm. If you tape two together that each measure 38.4 cm, how much do you need to cut off?

Solution:

measurement/length of each paper piece = 38.4 cm

measurement/ length required = 64.25 cm

If length of one paper piece is 38.4 cm then if we tape 2 pieces together then the measurement or length is calculated as:

38.4 + 38.4 = 76.8 cm

So to calculate how much we need to cut off:

length required to cutoff = total length of two pieces - length  required

                                         = 76.8 - 64.25

                                         = 12.55 cm

So the length required to cut off is 12.55 cm

The 98% confidence interval for the number of chocolate chips per cookie in Big Chip cookies is approximately 13.5529 to 15.0471 chips.

To find the 98% confidence interval for the number of chocolate chips per cookie in Big Chip cookies, we'll use the t-distribution since the sample size is relatively small (n = 61) and we don't know the population standard deviation.

The formula for the confidence interval is:

\(CI = \bar X \pm t_{critical} \times \dfrac{s } {\sqrt{n}}\)

where:

X is the sample mean,

\(t_{critical\) is the critical value for the t-distribution corresponding to the desired confidence level (98% in this case),

s is the sample standard deviation,

n is the sample size.

First, let's find the critical value for the t-distribution at a 98% confidence level with (n-1) degrees of freedom (df = 61 - 1 = 60). You can use a t-table or a calculator to find this value. For a two-tailed 98% confidence level, the critical value is approximately 2.660.

Given data:

X (sample mean) = 14.3

s (sample standard deviation) = 2.2

n (sample size) = 61

\(t_{critical\) = 2.660 (from the t-distribution table)

Now, calculate the confidence interval:

\(CI = 14.3 \pm 2.660 \times \dfrac{2.2} { \sqrt{61}}\\CI = 14.3 \pm 2.660 \times \dfrac{2.2} { 7.8102}\\CI = 14.3 \pm 0.7471\)

Lower bound = 14.3 - 0.7471 ≈ 13.5529

Upper bound = 14.3 + 0.7471 ≈ 15.0471

To know more about confidence intervals follow

https://brainly.com/question/32452107

#SPJ4

Answer:

(-2, -1).

Step-by-step explanation:

y = x² + 4x + 3

Completing the square:

y = (x + 4/2)^2 - (4/2)^2 + 3

y = (x + 2)^2 - 4 + 3

y = (x + 2)^2 - 1.

This is vertex form and the coordinates of the vertex are (-2, -1).

The amount to be invested​ now, or the present value​ needed, is $22873.75

We solve the problem using the compound interest formula for amount

A = P(1 + r)ⁿ where

Making P subject of the formula, we have

P = A/(1 + r)ⁿ

Given that

Substituting the values of the variables into the equation, we have

P = A/(1 + r)ⁿ

P = 50000/(1 + 0.07)¹⁴

P = 50000/(1.07)¹⁴

P = 50000/1.7317

P = 22873.75

So, the amount to be invested​ now, or the present value​ needed, is $22873.75

Learn more about present value here:

https://brainly.com/question/20813161

#SPJ1

Answer: 60,30,180, and 37

Step-by-step explanation:

Answer:

wea did tha r come from??

Step-by-step explanation:

it is supposed to be d

Answer: k= 10,-3 j=10,-8 L=5,-9 please give me the brainliest if you want to

Step-by-step explanation:

Answer:

1. \( \boxed{ \bold{ \huge{ \boxed{ \sf{x = 1}}}}}\)

2. \( \boxed{ \bold{ \huge{ \boxed{ \sf{n = - 5}}}}}\)

Step-by-step explanation:

1. \( \sf{ \frac{6}{x + 1} = \frac{3}{x} }\)

Do cross multiplication

\( \dashrightarrow{ \sf{6x = 3(x + 1)}}\)

Distribute 3 through the parentheses

\( \dashrightarrow{ \sf{6x = 3x + 3}}\)

Move 3x to left hand side and change it's sign

\( \dashrightarrow{ \sf{6x - 3x = 3}}\)

Collect like terms

\( \dashrightarrow{ \sf{3x = 3}}\)

Divide both sides by 3

\( \dashrightarrow{ \sf{ \frac{3x}{3} = \frac{3}{3} }}\)

Calculate

\( \dashrightarrow{ \sf{x = 1}}\)

The value of x is 1

---------------------------------------------------------------------

2. \( \sf{ \frac{2}{6} = \frac{2n + 8}{n - 1}} \)

Do cross multiplication

\( \dashrightarrow{ \sf{2(n - 1) = 6(2n + 8)}}\)

Distribute 2 through the parentheses

Similarly, distribute 6 through the parentheses

\( \dashrightarrow{ \sf{2n - 2 = 12n + 48}}\)

Move 12n to left hand side and change it's sign

Similarly, move 48 to right hand side and change it's sign

\( \dashrightarrow{ \sf{2n - 12n = 48 + 2}}\)

Collect like terms

\( \dashrightarrow{ \sf{ - 10n = 48 + 2}}\)

Add the numbers : 48 and 2

\( \dashrightarrow{ \sf{ - 10n = 50}}\)

Divide both sides by -10

\( \dashrightarrow{ \sf{ \frac{ - 10n}{ - 10} = \frac{50}{ - 10} }}\)

Calculate

\( \dashrightarrow{ \sf{n = - 5}}\)

The value of n is -5 .

Hope I helped!

Best regards! :D

Answer:

3

Step-by-step explanation:

Answer:

\(\huge\boxed{Q = 110 \textdegree, \ ST = 9 \ \text{ft}}\)

Step-by-step explanation:

When we reflect and transform a figure, the angle lengths nor the side lengths are touched. The side length only changes if we dilate or stretch the figure, and the angle length only changes if we stretch the figure.

Therefore, we know the information is going to be the exact same. We just have to figure out what corresponds to what from JKLM to QTSR.

If we reflect a figure across a horizontal reflection line through its center, the figure will just flip sides. M will be J, L will be K, etc.

When we translate this down, nothing changes except its position. So we can pretend these two shapes are right on top of each other for now.

When we move these right on top of each other, we can see that Angle J overlaps with Angle Q. Since they don't have any weird intersects, we know that angle J will be equal to Angle Q. Since we already know J is 110°, we know Q is also 110°.

When we move it on top, we also see that KL overlaps with ST perfectly. Since we know KL is 9, that must mean ST is also 9.

Hope this helped!

Answer:

9(9x^2+1)

Step-by-step explanation:

Just factor the 9 out.

Answer:

ur answer is 607.51

Step-by-step explanation:

the polynomial expression that represents the area of the soccer field is

5x^2 -16xy +3y^2

given length of a rectangular soccer is 5x -y

and width of a rectangular soccer is x- 3y

find the polynomial expression that represents the area of the soccer field.

we know that the formula for the area of a rectangle is

area= length * width

       =( 5x-y)*( x-3y)

       = 5x^2 -15xy-xy +3y^2

        = 5x^2 -16xy +3y^2

learn more about of area here

https://brainly.com/question/19634911

#SPJ4

11.) 0.5.

12.) 0.25.

13.)1/2,0.49,55%.

14.)2/5,0.6,35%.

15.) To get a whole number from a fraction you have to multiply the fraction by the denominator of the fraction=5/9×9=5.

or you can say that can add 4/9 to 5/9=9/9=1 a whole number also

Answer:

A dilation factor of 1 over 2

Step-by-step explanation:

A dilation factor of 1 over 2 which is the correct answer would be an option (C)

Dilation is a process for creating similar figures by changing the size.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Here polygons PQRS is dilated to form polygons P'Q'R'S'

Given that the coordinates for each of the shapes:

Regular:

P = -4, -2

Q = -4, -6

R = -2, -4

S = -2, -2

Prime notation:

P' = -2, -1

Q' = -2, -3

R' = -1, -2

S' = -1, -1

We have to determine the dilation factor.

As we know dilation factor is the ratio of sides in the original image and the image after dilation.

Dilation factor = P'S'/PS

Dilation factor = 1/2

Hence, a dilation factor of 1 over 2 that polygons PQRS is dilated to form polygons P'Q'R'S'

Learn more about the Dilation here:

brainly.com/question/13176891

#SPJ5

Given:

Required:

To calculate which option is correct

Explanation:

Definition of power function

a function of a parameter under statistical test whose value for a particular value of the parameter is the probability of rejecting the null hypothesis if that value of the parameter happens to be true.

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1.

Required answer:

Hence it is a power function

a) The simple interest for the loan is $927.19.

b) The total amount that Jax will have to pay at the end of 30 months is $9,427.19.

a) To calculate the simple interest for the loan, we can use the formula:

Simple Interest = Principal x Rate x Time

where Principal is the amount borrowed, Rate is the annual interest rate, and Time is the duration of the loan in years.

Since the loan is for 30 months, which is equivalent to 2.5 years, we can substitute the given values:

Simple Interest = 8,500 x 0.0435 x 2.5 = $927.19

b) To determine the total amount that Jax will have to pay at the end of 30 months, we need to add the simple interest to the original amount borrowed. The total amount can be calculated using the formula:

Total Amount = Principal + Simple Interest

Substituting the given values:

Total Amount = 8,500 + 927.19 = $9,427.19

In summary, Jax will have to pay $927.19 in simple interest and a total of $9,427.19 at the end of 30 months to repay the 8,500 loan with an annual simple interest rate of 4.35%.

To learn more about interest click on,

https://brainly.com/question/31709159

#SPJ1

Answer: -16

Step-by-step explanation:

Answer:

the answer is a rectangle with dimensions 3cm and 5cm

Step-by-step explanation:

Hey there!!

Given,

acceleration (a) = 5 mi/hr^2

Initial velocity (u)= 45mi/hr

Time (t) = 4 hrs.

Now,

Final velocity (v) =?

We have,

\(a = \frac{v - u}{t} \)

Putting their values,

\(5 = \frac{v - 45}{4} \)

Simplifythem.

20 = v - 45

v = 65.

Therefore, the finalvelocity is 65mi/hr.

Hope it helps....

Answer:

65mi/hr

Step-by-step explanation: