Charles drove three times as far as Emily. Altogether they drove 112 miles. What was the number of miles driven by Charles?

The vertex and range of the given function is y = x + 1 + 3 is (0, 4); - (0, 4); 3 ≤ y ≤ ∞.

The Domain of a function is the set of all possible values that a function satisfies.

The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we put an x value in.

Now the given function is,

y = (x + 1) + 3

or, y = x + 4

Now to find the y coordinate of vertex,

put x = 0 in the given function is,

Thus, we get

y = 4

So, the vertex of the given function is

y = x + 1 + 3 is (0, 4); - (0, 4).

Now for range,Put (x + 1) = 0 in the given function

Thus we get,

y ≤  ∞

and y ≥ 3

Thus the range of the given function will be,3 ≤ y ≤ ∞

Thus, the vertex and range of the given function is y = x + 1 + 3 is (0, 4); - (0, 4); 3 ≤ y ≤ ∞

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Answer:

-50.4

Step-by-step explanation:

Answer:

X:1 2 3 4 5 Y:7 11 15 19 23.

Step-by-step explanation:

We just need to put in the values of x into the equation: y = 4x + 3.

x = 1:

y = 4(1) + 3

  = 4 + 3

y = 7

x = 2:

y = 4(2) + 3

  = 8 + 3

y = 11

x = 3:

y = 4(3) + 3

  = 12 + 3

y = 15

x = 4:

y = 4(4) + 3

  = 16 + 3

y = 19

x = 5:

y = 4(5) + 3

  = 20 + 3

y = 23

Answer:

4

Step-by-step explanation:

0.5 inches * 4 weeks = 2 inches after 1 month

Then add the 2 inches ( how tall it was before)

2 In + 2 In = 4 inches

The formula for density is d = m/v.

d = density

m = mass

v = volume

The volume of the rock is 15 cubic centimeters.

The mass of the rock is 45 grams.

Now just plug these into the formula and solve.

d = 45/15.

45/15 = 3.

The density of the rock is 3 grams per cubic centimeters.

Mass of the rock = 45 g

Volume of the rock = 15 cubic cm

Density = Mass / Volume

By putting the respected values, we get

Density = 45 g / 15 cubic cm = 3 gram/cubic centimeter

Density of the rock is 3 gram/cubic centimeter.

The number of physics textbook is 174 and maths textbook is 58.

Let the number of maths textbook = x

The number of physics textbook = 3x

Therefore, the expression will be:

3x + x = 232

4x = 232

Divide

x = 232/4

x = 58

Physics textbook = 3x = 3 × 58 = 174

Therefore, the number of physics textbook is 174 and maths textbook is 58.

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Answer:

i think -50

Step-by-step explanation:

im not 100% sure tho

The value of x = 2, the length of AB is 13 and BC is 8.

A, B and C are collinear with point B between points A and C.

   A___________.__________C

                             B

AC = 21 , AB = 15 -x and BC = 4 + 2x

As the point, B is the mid-point of the line AC

Therefore we get

AC = AB + BC

AC = 2AB = 2BC

Therefore we get

AC = AB + BC

21 = 15 -x + 4 + 2x

21 = 19 + x

x = 2

As AB = 15 - x

Now put the value of x in the equation, by putting the value of x = 2.

AB = 15 - 2

    = 13

BC = 4 + 2x

     = 4 + 2×2

     = 4 + 4

     = 8

Therefore the value of x = 2, and the length of AB = 13 and BC = 8.

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The CD will earn $459.375 interest in 30 months and the balance at maturity will be $10,959.375.

Here, we are given that Ralph deposited $10,500 in an CD account that pays 1.75% simple interest for 30 months.

Simple interest can be calculated using the following formula-

Simple interest = Principle(P) × Time(t) × Rate(r)/ 100

Here,

P = 10,500

t = 30/12

r = 1.75

Thus,

Simple interest = 10,500 × 30/12 × 1.75/ 100

= 10,500 × 5/2 × 175/ 10000

= 10,500 × 5/2 × 7/ 400

= 26,250 × 7/ 400

= $459.375

Thus, the CD will earn $459.375 interest in 30 months.

Balance on maturity will be-

$10,500+ $459.375 = 10,959.375

Thus, the balance at maturity will be $10,959.375.

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The percentage of the surface light :

[tex]\frac{I}{I_0} \times 100=27.25 \%[/tex]

[tex]$\frac{I}{I_0} \times 100=7.43 \%$[/tex]

This is further explained below.

Generally, the equation for is  mathematically given as

We have; the intensity of light d ft below the surface given by

I=I_0 [tex]e^{-0.26 d}[/tex]

Where; I_0= Intensity of the light at the surface.

d= depth (in feet).

A)

d=5 \mathrm{ft}:

[tex]\quad I=I_0 \cdot e^{-0.26 \times 5} \\\\I=I_0 \times e^{-1 \cdot 30}$[/tex]

[tex]$\left(\frac{I}{I_0}\right)=e^{-1.30}=0.27253[/tex]

In of form:

[tex]\frac{I}{I_0} \times 100=27.25 \%[/tex]

b)

[tex]$d=10 \mathrm{ft}:[/tex]

[tex]\quad \mathrm{J}=\mathrm{I}_0 e^{-0.26 \times 10}\\\\=I_0 e^{-2.60}$[/tex]

[tex]$\left(\frac{I}{I_0}\right)[/tex]=e^{-2.60}

[tex]$\left(\frac{I}{I_0}\right)[/tex]=0.07427

In form: [tex]$\frac{I}{I_0} \times 100=7.43 \%$[/tex]

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CQ

Marine life is dependent upon the microscopic plant life that exists in the photic zone, a zone that goes to a depth where about 1% of the surface light remains. In some waters with a great deal of sediment, the photic zone may go down only 15 or 20 feet. In some murky harbors, the intensity of light d feet below the surface is given by I=Ioe^-0.26d,Where Io is the intensity of light at the surface. What percentage of the surface light will reach a depth of (A) 5 feet? (B) 10 feet?

Answer:

Both are solutions of x.

Step-by-step explanation:

[tex]x^{2} =49[/tex]

For [tex]x^{2} =f(a)[/tex] the solutions  are [tex]x=\sqrt{f(a)} ,-\sqrt{f(a)}[/tex]

[tex]x=\sqrt{49} ,x=-\sqrt{49}[/tex]

[tex]\sqrt{49}[/tex]

Factor  the number: [tex]49=7^{2}[/tex]

Apply radical rule: [tex]\sqrt[n]{x^n} =a[/tex]

[tex]\sqrt{7^2} =7[/tex]

=7

[tex]-\sqrt{49}[/tex]

Factor the number: [tex]49=-7^2[/tex]

Apply radical rule: [tex]\sqrt[n]{x^n} =a[/tex]

[tex]-\sqrt{7^2}=7[/tex]

[tex]=-7[/tex]

Answer: it is 4 over 8 and undefined as the direct inverse of mathematical theory of bill nye the science guy *music starts playing*

Step-by-step explanation:

Answer:  [tex]\sin C = \frac{3}{5}[/tex]

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

Work Shown:

[tex]\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(C) = \frac{\text{AB}}{\text{AC}}\\\\\sin(C) = \frac{24}{40}\\\\\sin(C) = \frac{8*3}{8*5}\\\\\sin(C) = \frac{3}{5}\\\\[/tex]

Answer:

30

Step-by-step explanation:

Answer: It would be 30

Step-by-step explanation: When you divide 8 by 240, you get 30, divide the inside of the bar by the outside for questions like these, 240/8.

Answer:

See below

Step-by-step explanation:

Anything with an ODD number of negatives  makes a negative

A   TWO negatives <<<<nope

B   two negatives

C    FIVE negatives   <<<<< yep

D    Three negatives  <<<<<< yep

E     Four negatives <<<<< nope

Remember ....a negative sign in front

                            - (6)(-4)(3)       is just like  (-1)(6)(-4)(3)

Answer:

The answer is in the photo

Hope i helped. :)

Btw it was cut off

Step-by-step explanation:

Answer:

(1,3)

Step-by-step explanation:

Only point that lies in the blue area.

Answer:

(1,3)

Step-by-step explanation:

the solution must be in the shaded area and it is the only option within the shaded area

Answer:

99

Step-by-step explanation:

Since the question is or, we only need to answer one. For q, there is of course no answer that will not end the division in decimals. So lets move on to p. The only number that is greater than 20 is 99. Also, 99 is divisible by 5, it will just end in decimals. So the answer is 99.

Answer:

umm im not sure if this is the answer but i believe it would be -$35

Step-by-step explanation: -7 x 5

Answer:

60% of snow

Step-by-step explanation:

Answer:

-2 3/4

Step-by-step explanation:

i gotchu

Answer:

of course

Step-by-step explanation:

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

Answer:

4W - 4W = 0

Step-by-step explanation:

Given expression,

→ 4W - 4W

Simplifying the expression,

→ 4W - 4W

→ 0W = 0

Hence, the answer is 0.

Answer:

AD = 100

Step-by-step explanation:

50/cos60 = 100

Answer:(a) x - 0.7 = 1.5

Step-by-step explanation:

Determine whether each of the following is a solution of x − 0.7 = 1.5: (a) x = 1 (b) x = −0.8 (c) x = 2. Step 1. Substitute the number for the variable in the equation.

Step 2. Simplify the expressions on both sides of the equation.

Step 3. Determine whether the resulting equation is true.

If so, the number is a solution.

If not, the number is not a solution.

Answer:

1.2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The following are mathematical properties that justifies each step Jeremy made:

✔️Step 1: Given

Jeremy simply stated the given equation.

✔️Step 2: Multiplication Property of Equality

Jeremy multiplied both sides of the equation by 2

✔️Step 3: Subtraction property of equality

4x was subtracted from both sides

✔️Step 4: Subtraction property of equality

1 was subtracted from both sides

✔️Step 5: Division property of equality

Both sides were divided by -7

Answer:

4.

.....................

Answer: Option 4

Step-by-step explanation:

2x+5y=20

5y=-2x+20

y=-2x/5 + 4 ==> y-int: (0, 4) ==> Option 4