help help help help help help

Answer:

To find the average rate of change, we divide the change in the output value by the change in the input value. The Greek letter Δ (delta) signifies the change in a quantity; we read the ratio as “delta-y over delta-x” or “the change in y divided by the change in x”.

Answer:

Find the average rate of change of the function

A General Note: Rate of Change

The units on a rate of change are “output units per input units.” The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

If the first term of an AP is 'a' and the common difference is 'd', then the sum of n terms of an AP is

[tex] \frac{n}{2} \times 2a + (n - 1)d[/tex]

Answer:

x < 5

Step-by-step explanation:

7x + 5 < 3x + 25

Subtract 3x from each side

7x-3x + 5 < 3x-3x + 25

4x+5 < 25

Subtract 5 from each side

4x +5-5 < 25-5

4x < 20

Divide by 4

4x/4 < 20/4

x < 5

Answer

x<5

Step-by-step explanation:

7x + 5 < 3x + 25

you would subtract 3x from both sides

Leaving you with 4x+5< 25

next you would subtract 5 from both sides

leaving you with 4x<20

Then you would divide both sides by 4

leaving you with x <5

Hoped this helped

:)

Answer:

The number of 32 Gigabit keys that can be fitted on the hard drive is 375.

Step-by-step explanation:

The question is:

If my hard drive has a capacity of 1.5 Terabytes, how many 32 Gigabit keys can fit on that hard drive?

Solution:

1 Terabyte = 8000 Gigabits

Then 1.5 Terabytes in Gigabits is:

1.5 Terabytes = (8000 × 1.5) Gigabits

                      = 12000 Gigabits

One key is of 32 Gigabits.

Compute the number of 32 Gigabit keys that can be fitted on the hard drive as follows:

[tex]\text{Number of 32 Gigabit keys}=\frac{12000}{32}=375[/tex]

Thus, the number of 32 Gigabit keys that can be fitted on the hard drive is 375.

Answer:

-7 , -5

Step-by-step explanation:

use the AC method, find two numbers that multiply to 35 and add to 12. those numbers are 7 and 5. then u have (m+7)(m+5), so m = -7,-5

Answer:

12 meters

Step-by-step explanation:

Looking at the problem we can see that it typifies a right angled triangle. The rope running from the top of the flagpole to the hook on the ground is the hypotenuse of the triangle. Let us call this hypotenuse c. Let the distance between the hook and the foot of the flagpole be b. Let the height of the flagpole be a.

From Pythagoras theorem;

c^2 = a^2 + b^2

a^2= c^2 - b^2

a= √c^2-b^2

From the question

c= 13 metres

b= 5 metres

a= the unknown

a= √c^2-b^2

a= √(13)^2 - (5)^2

a= √169 - 25

a= √144

a= 12 meters

Answer:

The flagpole  12 meters tall

Step-by-step explanation:

Running from the top of a flagpole to a hook in the ground there is a rope that is 13 meters long

∵ The hook is 5 meters from the flag pole

∵ The flagpole and the ground ⊥ to each other

By using Pythagoras theorem:

hypothenus side is 13m

base is 5m

how tall is the flagpole is x

[tex]13^2=x^2+5^2\\\\169=x^2+25\\\\x^2=169-25\\\\x^2=144\\\\x=12m[/tex]

The flagpole  12 meters tall

Answer:

y < 2 or y > 2 and {y|y ∈ R, y ≠ 2}, (–∞, 2) U (2, ∞)

Step-by-step explanation:

these are the answers i got it right

Answer:

P = 10a +2b+12

Step-by-step explanation:

P = 2 (l+w) for a rectangle

P = 2 ( 4a+b + a+6)

Combine like terms

P = 2(5a+b+6)

Distribute

P = 10a +2b+12

Answer:

Given below

Hope it helps

Step-by-step explanation:

Perimeter= 2(l+b)

= 2(4a+b+a+6)

= 2(5a+b+6)

= 10a+2b+12 cm^2

Answer:

6 times ab

Step-by-step explanation:

3 times 2 = 6

a times b = ab

Answer:

6ab

Step-by-step explanation:

Answer:

1.1 x 10^24

Step-by-step explanation:

Mass of earth: 5.97 x 10^24

Mass of venus: 4.87 x 10^24

There are 24 numbers in the mass of venus before the 4, in 4.87. So, that is why we use 10^24.

5.97-4.87=1.1

Considering the number of student tickets sold as x.

5x+7*120=1840

5x+840=1840

5x=1840-840

5x=1000

x=1000/5

x=200

200 student tickets were sold.

Answer:

A and D

Step-by-step explanation:

We have to create a perfect square. To make x^2+bx+c into a perfect square, c has to be (b/2)^2. In this case, b is -10. so, c has to be (-10/2)^2, which is 25. To make the left hand side 25, we would have to add 30 to both sides.

This leads to a new equation:

x^2 - 10x + 25 = 9+30

x^2 - 10x + 25 = 39

Now, we can change the left hand side to a perfect square.

(x-5)^2 = 39. (the -5 is b/2)

Then we square root both sides;

x-5 = +/- sqrt39. (When you square root an expression, remember that you need to include both the positive AND negative)

x = 5-sqrt39 or 5+sqrt39

Answer:

Dear student,

Answer to your query is provided below

Probability of drawing a 2 at first is (4/52) = (1/13)

Probability of drawing a face card in second try without replacement = 12/51

Step-by-step explanation:

Total no. Of cards = 52

Total no. Of cards of 2 = 4

Prob. Of drawing 2 = 4/52

Total no. Of face card = 12

Total no.of cards left in deck = 51

Prob. Of drawing face card = 12/51

Answer:

Each bracelet costs 20.25

Step-by-step explanation:

Here's what was given in the equation:

Total Price: $67.50

Price of necklace: $27

We can subtract the $27 from the $67.50 to get $40.5

Since we know that both bracelets are the same price we can divide the $40.5 by 2 to get two of the exact same prices. The result is $20.25 for each bracelet.

Hope this helps

Answer:

20.25

Step-by-step explanation:

Took test got it right.

Answer:

14 ornaments.

Step-by-step explanation:

To find the amount of ornaments students can make from 3 1/2 pieces of Bristol board, you will need to divide fractions. Therefore:

Begin by converting '3 1/2' to an improper fraction.

3 1/2 = [tex]\frac{7}{2}[/tex]

Divide '1/4' from the total amount by multiplying by the reciprocal.

[tex]\frac{7}{2} * \frac{4}{1} = \frac{7* 4}{2 *1} = \frac{28}{2} = 14[/tex]

Therefore, the students can make 14 ornaments.

Answer:

A. y = 5/4(x - 1)

Step-by-step explanation:

The equation of a line can be written in the form:

[tex]\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the points given,

y1 = 0

y2 = 5

x1 = 1

x2 = 5

Therefore:

[tex]\frac{y - 0}{x - 1}= \frac{5 - 0}{5 - 1} \\\\\frac{y}{x - 1} = \frac{5}{4}[/tex]

Cross multiply:

4y = 5(x - 1)

y = 5/4(x - 1)

A. y = 5/4(x - 1)

Step-by-step explanation:

The equation of a line can be written in the form:

From the points given,

y1 = 0

y2 = 5

x1 = 1

x2 = 5

Therefore:

Cross multiply:

4y = 5(x - 1)

y = 5/4(x - 1)

Answer:

40°

Step-by-step explanation:

An angle bisector divides an angle into 2 equal angles. 20° x 2 = 40°.

Answer:

No

Step-by-step explanation:

No real number when multiplied with zero makes one.

Answer:

Zero has no reciprocal

Step-by-step explanation:

The reciprocal of a number is what you get when you flip the numerator and the denominator of a number. For instance, with the number 5, it can be rewritten as 5/1. The reciprocal of this would therefore be 1/5. For 0, it can also be rewritten as 0/1. However, if you take the reciprocal of this, you get 1/0, which is undefined. Therefore, zero has no reciprocal. Hope this helps!

Answer:

Repeating the activity or just waiting for it to happen.

Step-by-step explanation:

I did not really understand but I tried my best.

Answer:

Bruno will do 45.7

Step-by-step explanation:

1- gather all info

2-subtract

3- YOURE answer

Answer:

2/15 =  13 1/3 %

Step-by-step explanation:

eight yellow marbles, nine green marbles, three purple marbles, and five red marbles = 25

P(yellow) =  yellow/ total =8/25

Keep

7 yellow marbles, nine green marbles, three purple marbles, and five red marbles = 24

P(red) = red/total =5/24

P(yellow then red) = 8/25 * 5/24 = 1/15

Then we have (red, yellow) =

P(red) = red/ total =5/25 = 1/5

Keep

8 yellow marbles, nine green marbles, three purple marbles, and four red marbles = 24

P(yellow) = yellow/total =8/24 = 1/3

P(red, yellow) = 1/5*1/3 = 1/15

Add them together

1/15 + 1/15 = 2/15 =

Answer:

4x + 15

Step-by-step explanation:

A = 14x + 5[6 - (2x + 3)]

  = 14x + 5[6 - 2x - 3]

  = 14x + 30 - 10x - 15

  = (14x - 10x ) + (30 - 15)

  = 4x + 15

Hope this helps!

2(x+1)+3x=37

simplifythe left side:

2x +2 +3x = 37

Combine like terms:

5x +2 = 37

Subtract 2 from both sides:

5x = 35

Divide both sides by 5:

x = 7

Answer:

x=7

Step-by-step explanation:

2(x+1)+3x=37

Distribute

2x+2 +3x = 37

Combine like terms

5x+2 = 37

Subtract 2 from each side

5x+2-2=37-2

5x = 35

Divide by 5

5x/5 = 35/5

x=7

Answer:110

Step-by-step explanation:x^2+17x=15x+35

x^2+17x-15x-35=0

x^2+2x-35=0

delta=2^2-4*1*(-35)=4+140=144

x1=(-2+V144)/2=(-2+12)/2=10/2

x=5

so 15*5+35=75+35=110

Answer:

Step-by-step explanation:

In a regular polygon, each side has the same length.

Therefore we have the equation:

[tex]x^2+17x=15x+35[/tex]

We must specify the domain:

[tex]x^2+17x>0\ \wedge\ 15x+35>0\\\\x(x+17)>0\ \wedge\ 15x>-35\\\\(x<-17\ \vee\ x>0)\ \wedge\ x>-\dfrac{7}{3}\Rightarrow x>0[/tex]

[tex]x^2+17x=15x+35\qquad\text{subtract}\ 15x\ \text{from both sides}\\\\x^2+17x-15x=15x-15x+35\\\\x^2+2x=35\qquad\text{add 1 to both sides}\\\\x^2+2x+1=35+1\\\\x^2+2(x)(1)+1^2=36\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+1)^2=36\to x+1=\pm\sqrt{36}\\\\x+1=\pm6\qquad\text{subtract 1 from both sides}\\\\x+1-1=\pm6-1\\\\x=-7\ \vee\ x=5[/tex]

[tex]x<-7\notin\text{domain};\ x=5\in\text{domain}[/tex]

The length of a side:

[tex]x^2+17x=5^2+17(5)=25+85=110\\\\15x+35=15(5)+35=75+35=110[/tex]

Answer:

You have to divide both sides by h, in order to make b the subject :

[tex]A = bh[/tex]

[tex]A \div h = bh \div h[/tex]

[tex] \frac{A}{h} = bh \times \frac{1}{h} [/tex]

[tex] \frac{A}{h} = b[/tex]

[tex]b = \frac{A}{h} [/tex]

Answer:

b=a/h

Step-by-step explanation:

Rewrite the equation as bh=a

Divide each term by h and simplify

b=a/h

Answer:

D. $5,676.88

Step-by-step explanation:

A=P(1+r/n)^n*t

Where

P=principal=$5000

r=interest rate=6.45%=0.0645

n=periods=2(semiannually)

t=time=2 years

A=P(1+r/n)^n*t

=5,000(1+0.0645/2)^2*2

=5,000(1+0.03225)^4

=5000(1.03225)^4

=5000(1.13553756247925)

=5,676.8781

Approximately

$5,676.88

Answer:

x=6

Step-by-step explanation:

FG + GH = FH

4+x-3 = 2x-5

Combine terms

x+1 = 2x-5

Subtract x from each side

x+1-x = 2x-5-x

1 = x-5

Add 5 to each side

1+5 = x-5+5

6 =x

Answer:

x=6

Step-by-step explanation:

F G + G H = F H

4+x-3 = 2x-5

Answer:

No.

[tex]\text{Average rate} = \dfrac{\text{Total distance}}{\text{Total time}} = \dfrac{r_{1}t_{1} + r_{2}t_{2}}{t_{1} + t_{2}}\\\\= \text{50.91 mi/h}[/tex]

Step-by-step explanation:

First leg:              d = r₁t₁

Second leg:        d = r₂t₂

                         r₁t₁ = r₂t₂

Total distance: 2d = r₁t₁ + r₂t₂

Total time:           t = t₁ + t₂

1. Equation for average rate

[tex]\text{Average rate} = \dfrac{\text{Total distance}}{\text{Total time}} = \dfrac{r_{1}t_{1} + r_{2}t_{2}}{t_{1} + t_{2}}[/tex]

2. Average rate

Since r₁t₁ = r₂t₂,

[tex]t_{1} = \dfrac{r_{2}t_{2}}{r_{1}} = \frac{40}{70}t_{2} = \frac{4}{7}t_{2}\\\\\text{Average rate} = \dfrac{2r_{2}t_{2}}{\frac{4}{7}t_{2} + t_{2}} = \dfrac{2 \times 40t_{2}}{\frac{4t_{2}+ 7t_{2}}{7}}= 80t_{2} \times\frac{7}{11t_{2}} = \dfrac{560}{11}\\\\= \textbf{50.91 mi/h}[/tex]

We cannot say truthfully that the average rate is 55 mi/h.

The average rate of a body is the total distance travelled divided by the total time.

The cheetah runs at an average rate of 50.91mph, not 55mph

Let

[tex]d \to[/tex] distance

[tex]r \to[/tex] average rate

[tex]t \to[/tex] time

Given that:

[tex]d = r_1t_1 = r_2t_2[/tex]

So, we have:

[tex]r_1 = 70[/tex]

[tex]r_2 = 40[/tex]

The average rate (r) is calculated as follows:

[tex]r = \frac{Total\ Distance (D)}{Total\ Time (T)}[/tex]

Where:

[tex]D=d + d[/tex]

[tex]D = r_1t_1 + r_2t_2[/tex]

and

[tex]T =t_1 + t_2[/tex]

So, the average rate is:

[tex]r =\frac{r_1t_1 + r_2t_2}{t_1 + t_2}[/tex]

Recall that:

[tex]D = r_1t_1 + r_2t_2[/tex]

[tex]r_1t_1 = r_2t_2[/tex]

Make [tex]t_2[/tex] the subject

[tex]t_2 = \frac{r_1t_1}{r_2}[/tex]

Substitute values for [tex]r_1[/tex] and [tex]r_2[/tex]

[tex]t_2 = \frac{70t_1}{40}[/tex]

So, we have:

[tex]r =\frac{r_1t_1 + r_2t_2}{t_1 + t_2}[/tex]

[tex]r = \frac{70t_1 + 40 \times \frac{70t_1}{40}}{t_1 + \frac{70t_1}{40}}[/tex]

[tex]r = \frac{70t_1 + 70t_1}{t_1 + \frac{70t_1}{40}}[/tex]

[tex]r = \frac{140t_1}{t_1 + \frac{70t_1}{40}}[/tex]

Factor out t1

[tex]r= \frac{140t_1}{t_1(1 + \frac{70}{40})}[/tex]

[tex]r = \frac{140}{(1 + \frac{70}{40})}[/tex]

[tex]r = \frac{140}{\frac{40+70}{40}}[/tex]

[tex]r= \frac{140}{\frac{110}{40}}[/tex]

Rewrite as:

[tex]r = \frac{140 \times 40}{110}[/tex]

[tex]r = 50.91mph[/tex]

Hence, the cheetah's average rate is 50.91mph, not 55mph

Read more about distance, average rates and time at:

https://brainly.com/question/22457482

Answer:

∠3 is 70°

Step-by-step explanation:

∠1 is 50° since it is across from another 50° angle

and then you use the equation x+25+2x+50=180 to find x

x then equals 35°

you then use the alternate interior angle theorem to say that ∠3 is 2x, or 70°

Answer:

It is 70

Step-by-step explanation

right on egde 2020.