What is the base area of Box 3?

Answer: (-∞, 3.5)

Step-by-step explanation:

Here we can use the relation:

Exp( Log(X)) = X

Now, we start with the equation:

log(x + 7) > log(3x)

Now we can apply the exponential function to both sides of the inequality to get:

Exp(log(x + 7)) > Exp(log(3x))

x + 7 > 3x

7 > 3x - x

7 > 2x

7/2 > x

3.5 > x

Then the solutions will be all the values of x smaller than 3.5, this set can be written as:

(-∞, 3.5)

Answer:

(0,3)

Step-by-step explanation:

used an online calculator

Answer:

Step-by-step explanation:

Equation of a line has been given as,

y = -2x + 5

Input-output points lying on the the line are,

x          0          1            2           3

y          5          3            1          -1

Now we can plot these points on the graph and join them to get the line representing the given equation.

(As graph attached)

Answer:

13857552359

Step-by-step explanation:

13857552359.3

3 is less than 5, so round down to 13857552359

Answer:

what is given: 13857552359.3

Ones: 13857552359

Tens: 13857552360

Hundreds: 13857552400

Thousands: 13857552000

Millions: 13858000000

Hint: Each of the numbers are different

P.S I put all of them because you didnt say which whole number you wanted

Hope this helped!

Answer:

The answer is 44.99

Step-by-step explanation:

divide 89.98/2= 44.99

Answer:

The strategy is to find the x and y intercept of the given equation

Step-by-step explanation:

4x+3y≥12

In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;

x-intercept occurs at where y = 0

when y  = 0

4x + 3(0)≥12

4x ≥12

x ≥12/4

x≥ 3

Also y intercept occurs at where x = 0

4x+3y≥12

4(0)+ 3y ≥12

3y≥12

y≥12/3

y≥4

Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation

Answer:

(f + g)(x) = I2x + 1I + 1 ⇒ C

Step-by-step explanation:

Let us solve the question

∵ f(x) = I2x + 1I + 3

∵ g(x) = -2

→ We need to find (f + g)(x), which means add the two functions

∵ (f + g)(x) = f(x) + g(x)

→ Substitute the right side of each function on the right side

∴ (f + g)(x) = I2x + 1I + 3 + (-2)

→ Remember (+)(-) = (-)

∴ (f + g)(x) = I2x + 1I + 3 - 2

→ Add the like terms in the right side

∵ (f + g)(x) = I2x + 1I + (3 - 2)

∴ (f + g)(x) = I2x + 1I + 1

Answer:

D

Step-by-step explanation:

Answer:

D, No correlation

Step-by-step explanation:

Answer:

n = 28

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc, then

35 + m = 0.5 × 98 = 49 ( subtract 35 from both sides )

m = 14

∠ n is at the centre subtended on the same arc as ∠ m , thus

n = 2m = 2 × 14 = 28

Answer:

x=18

Step-by-step explanation:

Answer:

23.25 MPH

Step-by-step explanation:

7 3/4 x 3 = 23.25

1/3 x 3 = 3/3 = 1

So for 1 hour she will ride 23.25 MPH :D

Answer:

23 1/4 miles

Step-by-step explanation:

(7 3/4)x3 will give us the answer as (1/3)x3 is 3/3, meaning that it is the full hour.

Answer:

Number 2

Step-by-step explanation:

I can explain if needed to, since you said asap ill tell u the answer rq

Answer:

One answer: 3/8 or 0.375

Step-by-step explanation:

Answer:

exact form y

=3/8

decimal

y=0.375

Step-by-step explanation:

Answer:

The equation of the line is y = 2x - 5 ⇒ D

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

Note: To prove that a line passes through a given point, substitute x in the equation of the line by the x-coordinate of the point and solve to find y, if y equals the y-coordinate of the point, then the line passes through it

∵ The slope of the line is 2

∵ The line passes through the point (3, 1)

→ Find at first which equation has slope 2, then check if the line passes

  through the point or not using the note above

A.

∵ y = 2x + 5

→ By comparing it with the form of the equation above

∴ m = 2

∴ The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) + 5 = 6 + 5 = 11

∵ y-coordinate of the point = 1

∴ The line does not pass through the point

B.

∵ y = 2x + 1

→ By comparing it with the form of the equation above

∴ m = 2

∴ The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) + 1 = 6 + 1 = 7

∵ y-coordinate of the point = 1

∴ The line does not pass through the point

C.

∵ y = 2x - 1

→ By comparing it with the form of the equation above

∴ m = 2

∴ The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) - 1 = 6 - 1 = 5

∵ y-coordinate of the point = 1

∴ The line does not pass through the point

D.

∵ y = 2x - 5

→ By comparing it with the form of the equation above

∴ m = 2

∴ The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) - 5 = 6 - 5 = 1

∵ y-coordinate of the point = 1

∴ The line passes through the point

∴ The equation of the line is y = 2x - 5

Answer:

this is the correct solution for your question

Answer:

The value of k is -4.

Step-by-step explanation:

In order to find the value of k, you have to substitite x = -1/2 into the equation :

[tex]2 {x}^{2} - 7x + k = 0[/tex]

[tex]let \: x = - \frac{1}{2} [/tex]

[tex]2 {( - \frac{1}{2} )}^{2} - 7( - \frac{1}{2} ) + k = 0[/tex]

[tex]2( \frac{1}{4} ) + \frac{7}{2} + k = 0[/tex]

[tex] \frac{1}{2} + \frac{7}{2} + k = 0[/tex]

[tex]4 + k = 0[/tex]

[tex]k = - 4[/tex]

Answer: I think it’s d but I’m not sure

Answer:

debt-to-income ratio= 0.7125

Step-by-step explanation:

Giving the following information:

Monthly expenses= $2,850

Monthly income= $4,000

To calculate the debt-to-income ratio, we need to use the following formula:

debt-to-income ratio= monthly debt payment / gross monthly income

debt-to-income ratio= 2,850/4,000

debt-to-income ratio= 0.7125

As a percentage:

debt-to-income= 0.7125*100

debt-to-income= 71.25%

The debt-to-income ratio is the percentage of your income dedicated to paying your debts.

Answer:

It might help u , plz Brain-list it

Step-by-step explanation:

The option is not given but still its clear from the graph

That its slope intercept form will be ,

X=0  (the point where it intersect x axis) and Y=0  (the point where it intersect y axis)  

Answer:

y = 8x

Step-by-step explanation:

Hope this helps

(From k12)

Answer:

D. 2787.64 yd^3

Step-by-step explanation:

This is the formula for the volume of a cone:

[tex]V=\frac{1}{3} \pi r^2h[/tex]

The height of the cone is 22 yd. The radius of the base of the cone is not given but we can use the diameter to calculate it since the radius is equal to half of the diameter.

[tex]r=\frac{1}{2}d\\r=\frac{1}{2}(22)\\r=11yd[/tex]

Therefore, the radius of the base of the cone is 11 yd.

Now, we plug our values into the formula and solve.

[tex]V=\frac{1}{3} \pi r^2h\\V=\frac{1}{3} \pi (11^2)(22)\\V=\frac{1}{3} \pi (121)(22)\\V=\frac{1}{3} \pi (2662)\\V=\frac{1}{3} \pi (2662)\\V=2787.64 yd^3[/tex]

Therefore, the volume of the cone is equal to 2787.64 yd^3.

I hope this helps!

Answer:

Willy can ride the bike for 250 miles.

Step-by-step explanation:

$35 - $15 = $20

$0.08 × 12.5 = $1

$1 per 12.5 miles

$20 × 12.5 = 250

Answer:

a= -7

Step-by-step explanation:

I hope this helps! :)

Answer:

-8/5

Step-by-step explanation:

y values minus each other over x values minus each other

Answer:

-8/5 or -1.6

Step-by-step explanation:

the formula for slop is y2-y1/x2-x1

y2 is -2

y1 is 6

x2 is 1

x1 is -4

(-2-6)/(1+4)

(-8)/(5)

the slope is -8/5 or -1.6

(just in case you need to write out the work)

Answer:

In the area that she observed, the water level fell 13.64mm over 6.4 years, for an average annual rate of change of: -13.64 ÷ 6.2 = -2.2 mm/ year.

Answer:

[tex]Perimeter = \frac{39t-4}{4}[/tex]

Step-by-step explanation:

Given

[tex]Lengths: (2\frac{1}{4}t - 5), (4t + 3), (1/2t - 1), (3t + 2)[/tex]

Required

Determine the perimeter

The perimeter is calculated as the sum of the lengths of the irregular shape.

i.e.

[tex]Perimeter = (2\frac{1}{4}t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)[/tex]

Remove brackets

[tex]Perimeter = 2\frac{1}{4}t - 5 + 4t + 3 + 1/2t - 1 + 3t + 2[/tex]

Collect Like Terms

[tex]Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t - 5 + 3 - 1 + 2[/tex]

[tex]Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t -1[/tex]

Convert mixed number to improper fraction.

[tex]Perimeter = \frac{9}{4}t +4t + 1/2t + 3t -1[/tex]

Take LCM

[tex]Perimeter = \frac{9t + 16t + 2t + 12t}{4} -1[/tex]

[tex]Perimeter = \frac{39t}{4} -1[/tex]

Take LCM

[tex]Perimeter = \frac{39t-4}{4}[/tex]  --- The perimeter of the shape

We want to find the perimeter of the irregular quadrilateral given that we know its lengths. By direct computation, we will get:

P(t) = (39/4)*t - 1

Remember that for any figure, the perimeter is defined as the sum of the lengths of each side.

Here we have that the lengths of the four sides of the quadrilateral are:

(2 1/4t - 5)

(4t + 3)

(1/2t - 1)

(3t + 2)

So we must sum that, we will get:

P = (2 1/4t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)

Notice that in the first part we have a mixed number, we can rewrite it as:

2 + 1/4 = 8/4 + 1/4 = 9/4

Then the sum is:

P = ((9/4)t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)

Now we simplify this sum:

P = (9/4 + 4 + 1/2 + 3)*t + (-5 + 3 - 1 + 2)

P = (39/4)*t - 1

So the perimeter, as a function of t, is:

P(t) = (39/4)*t - 1

If you want to learn more, you can read:

https://brainly.com/question/11971721

Answer:

B

Step-by-step explanation:

there are 7 blocks in the whole

the green portion is 3/7

1/2 times 6/7 is equal to 3/7

the answer is B

Answer: 62.5% water

100 * 50 / (50 + 30) = 100 times, then you do 50/80 and you get 62.5.

Answer:

62.5% or 62.5

Step-by-step explanation:

;)

Answer:

You didn’t explain what we had to do....

Step-by-step explanation:

I’m not really sure...I’m sorry