Find the value of -6 + 8(-3) ÷ 4
please help me .

Answer:

500 kilometers

Step-by-step explanation:

The fuel (y) Karl has in his car is a function of the distance (x) Karl travelled. The amount of fuel (y) is dependent on the distance (x) Karl travelled.

On the y-axis, we have amount of fuel.

On the x-axis, we have distance travelled.

At the time Karl travelled when he had 200 liters of fuel (y) remaining in his car, he had travelled a distance (x) of 500 kilometers.

We know this by looking at the graph given. When x (distance) = 500, y (fuel) = 200.

Answer:

x = 5 or x = - 2

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log (xy)

log x = log y ⇒ x = y

Given

ln(x- 3) + ln(x + 1) = ln(x + 7) , then

ln (x - 3)(x + 1) = ln (x + 7) , so

(x - 3)(x + 1) = x + 7 ← expand left side using FOIL

x² - 2x - 3 = x + 7 ( subtract x + 7 from both sides )

x² - 3x - 10 = 0 ← in standard form

(x - 5)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 2 = 0 ⇒ x = - 2

Answer:

8+6=14

So , we can multiply 14 to 45 =630 in ratio 6:30

Answer:

53

Step-by-step explanation:

By taking the number "41" and minus it with "35" and you'll get 12. Take the number "12" and plus with "41" and you'll get the answer.

the population variance is 144 and the population standard deviation is 12.

To find the population variance and standard deviation for the given data set, follow these steps:

Step 1: Find the mean (average) of the data set.

Step 2: Subtract the mean from each data point to find the differences.

Step 3: Square each difference.

Step 4: Calculate the sum of the squared differences.

Step 5: Divide the sum of squared differences by the total number of data points to find the variance.

Step 6: Take the square root of the variance to find the standard deviation.

Given data set: 8, 17, 29, 35, 41

Step 1: Find the mean (average):

Mean = (8 + 17 + 29 + 35 + 41) / 5

Mean = 130 / 5

Mean = 26

Step 2: Find the differences from the mean:

Differences: (8 - 26) = -18, (17 - 26) = -9, (29 - 26) = 3, (35 - 26) = 9, (41 - 26) = 15

Step 3: Square each difference:

Squared differences: [tex](-18)^2 = 324, (-9)^2 = 81, 3^2 = 9, 9^2 = 81, 15^2 = 225[/tex]

Step 4: Calculate the sum of squared differences:

Sum of squared differences = 324 + 81 + 9 + 81 + 225 = 720

Step 5: Calculate the variance:

Variance = Sum of squared differences / Number of data points

Variance = 720 / 5

Variance = 144

Step 6: Calculate the standard deviation:

Standard deviation = √Variance

Standard deviation = √144

Standard deviation = 12

So, the population variance is 144 and the population standard deviation is 12.

To know more about standard deviation:

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Answer:

width = 9 inches

length= 20 inches

perimeter of the rectangle=2(9+20)

2w +2L= 2×29

=58 inches

area of the rectangle=w×L

=9×20=180 inch²

Answer:

no

22.25 minutes

Step-by-step explanation:

First determine how long it will take her to read the entire book

20 pages          47 pages

--------------  = ----------------

35 minutes         x minutes

Using cross products

20x = 35*47

20x=1645

Divide by 20

20x/20 = 1645/20

x =82.25 minutes

This is more than 1 hour ( 1 hour = 60 minutes)

82.25 minutes - 60 minutes = 22.25 minutes

She will need 22.25 more minutes

Answer:

D

Step-by-step explanation:

Plug in the numbers for the x-value and solve the equation.

| 3(80/3)/4 + 1 | = 16

| 3(-40/3)/4 + 1 | = 16

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

2(x + -5) + x = x + (-6)

Step 2: Solve for x

Answer:

x=2 ( see Image below)

Step-by-step explanation:

cancel equal terms on both sides of the equation

2(x-5)=-6

move the constant to the right -hand side and change its sign

2x= -6 +10

Calculate the sum

2x=4

divide both sides of the equation by 2

x=2

Answer:

The angle between the liens is 135 degree.

Step-by-step explanation:

Equation of first line

2 x + 5 y = 4 ...... (1)

Equation of second line

7 x + 3 y = 8 ..... (2)

The slope of a line is given by

[tex]m = \frac{- coefficient of x}{coefficient of y}[/tex]

Slope of first line

[tex]m = -\frac {2}{5}[/tex]

Slope of second line

[tex]m'= - \frac{7}{3}[/tex]

The angle between the two lines is given by

[tex]tan\theta = \frac{m- m'}{1 + m m'}\\\\tan\theta = \frac{-\frac{2}{5}+\frac{7}{3}}{1+\frac{2}{5}\times \frac{7}{3}}\\\\tan\theta = -1 \\\\\theta = 135^o[/tex]

Answer:

The equation of the new function is [tex]g(x) = \frac{x}{3}[/tex]

Step-by-step explanation:

Horizontally stretching a function:

Horizontally stretching a function f(x), by a factor of a, means that:

[tex]g(x) = f(\frac{x}{a})[/tex]

In this question:

[tex]f(x) = x[/tex], horizontally stretched by a factor of 3, so [tex]a = 3[/tex], and:

[tex]g(x) = f(\frac{x}{3}) = \frac{x}{3}[/tex]

The equation of the new function is [tex]g(x) = \frac{x}{3}[/tex]

Answer:

C

Step-by-step explanation:

The sum of the measures of the three angles of a triangle is 180 degrees.

A

50 + 40 + 90 = 180    good

B

55 + 35 + 90 = 180     good

C

45 + 40 + 90 = 175    not good

Answer: C

=====================================================

Explanation:

The interior angles are consecutive numbers such as 1,2,3,... or 7,8,9... and so on. The gap between any two adjacent neighbors is 1.

For any polygon with n sides, the interior angles add up to 180(n-2)

We have n = 8 sides so the interior angles sum to 180(n-2) = 180(8-2) = 1080 degrees.

Any octagon has its interior angles add up to 1080 degrees.

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

Let x be the smallest angle. The next angle up is x+1. After that is x+2 and so on until we reach x+7 as the 8th angle.

Add up those 8 angles, set the sum equal to 1080 and solve for x

x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(x+6)+(x+7) = 1080

8x+28 = 1080

8x = 1080-28

8x = 1052

x = 1052/8

x = 131.5

This is the smallest angle. The next angle up or the second smallest angle is x+1 = 131.5+1 = 132.5 degrees  (choice C)

Answer:

Step-by-step explanation:

(2d + 1)(3d - 1)

2d(3d - 1) + 1(3d - 1)

6d^2 - 2 + 3d + 1

6d^2 - 1 + 3d

6d^2 + 3d - 1 (after arranging in standard form)

Answer:

7d/(2d+1)(3d-1)=6d^2 + 3d - 1

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered.

Answer:

83 or a

Step-by-step explanation:

if angle 6 is 97 then the total would be 180 meaning that 83 would be the answer to 5s angle

"83 degrees" is correct.

On a line, it can be assumed that all the angles must add up to 180 degrees. If you have two angle on a line and don't know the value of one of them, you can subtract that angle from 180 to find the missing angle. Considering this, 180 - 97 = 83.

9514 1404 393

Answer:

  C.  Matrix C

Step-by-step explanation:

The usual form for an augmented matrix representation of a system of linear equations has the variable coefficients listed in a square matrix with an additional column at the right containing the constants in the standard-form equations. This is illustrated in Matrix C.

__

The variables in the equations are usually left out of the matrix. That is, the system of equations AX= B is usually represented by the augmented matrix A|B, rather than (AX)|B. Thus "Matrix B" is not the best choice.

Answer:

Hi im not got with graphs

Step-by-step explanation:

Answer:

A) The probability that Kevin will win the spring break cruise is 0.42%.

B) Kevin's expected earnings are $ 8.4.

C) Kevin effectively contributed with $ 50.

Step-by-step explanation:

Since the college student senate is sponsoring a spring break Caribbean cruise raffle, and the proceeds are to be donated to the Samaritan Center for the Homeless, ya local travel agency donated the cruise, valued at $ 2000, and the students sold 2357 raffle tickets at $ 5 per ticket, to determine A) if Kevin bought ten tickets, what is the probability that Kevin will win the spring break cruise to the Caribbean; B) Kevin's expected earnings and C) how much did Kevin effectively contribute to the Samaritan Center for the Homeless; the following calculation must be performed:

A) 10/2357 = 0.0042 x 100 = 0.42

Therefore, the probability that Kevin will win the spring break cruise is 0.42%.

B) 2000 x 0.0042 = 8.4

Therefore, Kevin's expected earnings are $ 8.4.

C) 5 x 10 = 50

Kevin effectively contributed with $ 50.

Answer:

60 = 15+m

Step-by-step explanation:

sum is the outcome or total of an addition problem

Answer:

$1827

Step-by-step explanation:

Since Cheryl is said to be paid an exempt salary. Then it can be said that Cheyk does not qualify for minimum wage or overtime pay, Hence, exempt payment is in terms or salary rather than wage. Similarly. Gross earning refers the amount a worker receives as income over a certain period of time. The gross income has not been subjected to tax charges or any form of deduction. Hence, it could be said to be the outright earning paid to an employee before any deduction is made.

Hence, Cheryl's gross weekly earning is $1827 per week.

Answer:

-45 1/2

Step-by-step explanation:

Answer:

Perimeter: 41.2 m

Area: 54.83 m^2

Step-by-step explanation:

REFER TO THE IMAGE ATTACHED AS A

GUIDE.

PERIMETER:

(ADD UP ALL THE LENGTHS OF EACH SIDE)

Must be all 6 sides (see image, I solved for the two missing lengths)

3.7 + 9.1 + 11.4 + 9.2 + 2.3 + 5.5 = 41.2

perimeter is 41.2 m

AREA:

(See image again)

Shape is divided into two rectangles:

Top rectangle area: 11.4 x 3.7 = 42.18 m^2

Bottom triangle area: 5.5 x 2.3 = 12.65 m^2

ADD:

42.18 m^2 + 12.65 m^2 = 54.83 m^2

The area of the whole figure is 54.83 m^2

HOPE THIS HELPS

Answer:6

Step-by-step explanation:

Answer:

5(-3)2-2(-3)+1. =5(9)+6+1. =​45+7 ... 7x – 6= 0). (3x + 2)(x – 3)=0. =3x + 2 = 0; x – 3 = 0. _486x 5 – 7x. 1 1 8 1 6​. uh this is hard..

Step-by-step explanation:

Answer:

-102

Step-by-step explanation:

First, substitute the value into each equation and solve:

f(5) = -14(5) + 3 = -70 + 3 = -67

g(5) = (5)² + 10 = 25 + 10 = 35

-67 - 35 = -102

Step-by-step explanation:

I suppose you mean find the range for the following domain. Because when

g(x) is given the value of X

we are trying to solve the output value which is range.

If you want to solve for the domain, the question should give

g(x) = y

and provide the value of y.

X³+X²-X-2

Substitute

X=(-1)

-1+1-(-1)-2

= -1

g(-1)= -1

Substitute

X=(2)

8+4-2-2

=8

g(2)= 8

Substitute

X=(1)

1+1-1-2

=-1

g(1)= -1

g(2)+g(1)

=8-1

=7

Answer:

3.6

Step-by-step explanation:

set-up percentage like this!

[tex]\frac{part}{whole} =\frac{part}{whole}[/tex]

Then use what you know from the question to fill in the blanks

Answer: [tex]\frac{6}{100} =\frac{?}{60}[/tex]

Then: [tex]60[/tex] × 6 ÷ 100 = 3.6

Final Answer: 3.6