11. Benjamin plotted -1.5 and 1.6 on a number
line. Which point is further from zero?
12.
Times in 50-meter Dash
Runner
Time (s)
Steve
7.41
Mike
7.38
Daniel
7.43
Mauricio
7.25
Four runners ran the 50-meter dash. The
times are shown in the table above.
Which runner had the fastest time?

Answer:

Sally is 63

Step-by-step explanation:

Represent Sally's age by x and Sam's by  y.

Then x = 3y and x + y = 84.

Substituting 3y for x in the second equation, we get:

3y + y = 84, or 4y = 84, or y = 21.  Since Sally is 3 times as old as Sam, we multiply 21 by 3:  Sally's age is 3(21 years) = 63 years

Answer:

S = 62.5%

Step-by-step explanation:

Given the following data;

Ratio of J:S = 3:5 = 3 + 5 = 8

To find what percent of team members are seniors;

[tex] S = \frac {5}{8} * 100 [/tex]

[tex] S = \frac {500}{8} [/tex]

S = 62.5%

Additionally, to find what percent of team members are juniors;

J = 100 - S

J = 100 - 62.5

J = 37.5%

Answer:

Hi, your answer is y=[tex]-\frac{1}{2} x[/tex]-3

Step-by-step explanation:

We will use the slope-intercept formula which is

[tex]\frac{y2-y1}{x2-x1}[/tex]

We will use two points in this case I'll use

(-2,-2) and (-8,1)

[tex]\frac{1-(-2)}{-8-(-2)}[/tex]=[tex]-\frac{3}{6}[/tex] which can be simplified as [tex]-\frac{1}{2}[/tex]

Your Y will be -3

which your final answer will be y=-1/2x-3

Hope this helps :)

Answer:

[tex]g(-3)=42[/tex]

Step-by-step explanation:

Given:

[tex]g(x)=4x^2+6[/tex]

Let's substitute -3 for [tex]x[/tex]

[tex]g(-3)=4(-3)^2+6[/tex]

Now, let's solve

[tex]g(-3)=4(9)+6[/tex]

[tex]g(-3)=36+6[/tex]

[tex]g(-3)=42[/tex]

Hope this helps

Answer:

P earned $ 718.85.

Step-by-step explanation:

Given that P borrowed $ 16000 from a person at 12% per annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, to determine how much did he gain after 3 years the following calculation must be performed:

16,000 x 0.12 x 3 = X

1,920 x 3 = X

5,760 = X

16,000 x (1 + 0.12 / 1) ^ 3 = X

16,000 x 1.12 ^ 3 = X

16,000 x 1.404928 = X

22,478.85 = X

22,478.85 - 16,000 = 6,478.85

6,478.85 - 5,760 = X

718.85 = X

Therefore, P earned $ 718.85.

Answer:

Line m

Step-by-step explanation:

The line is labeled with an m.

Answer:

x=2

Step-by-step explanation:

i would set up a system of equation using the pythagorean theorem:

1^2+x^2=z^2

4^2+x^2=y^2

Add up these equations to get:

17+2x^2=y^2+z^2

But notice that

y^2+z^2=5^2

So you can substitute

17+2x^2=25

2x^2=8

x^2=4

x=2

:)

Answer:

2400 seconds

Step-by-step explanation:

Answer:

40 min = 2400 sec

Step-by-step explanation:

A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. The given statement is True.

A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The given statement is true and can be observed in the given image below.

Hence, the given statement is True.

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Answer:

A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8

C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18

E 2x=122 x is equal to 12

Step-by-step explanation:

Given:

2(x+3) − 2 = 16

2x + 6 - 2 = 16

2x = 16 - 6 + 2

2x = 12

x = 12/2

x = 6

A. (x+3)−1=8

x + 3 - 1 = 8

x = 8 - 3 + 1

x = 6

B (x+3)−2=8

x + 3 - 2 = 8

x = 8 - 3 + 2

x = 7

C 2(x+3)=18

2x + 6 = 18

2x = 18 - 6

2x = 12

x = 12/2

x = 6

D x+3=9x

3 = 9x - x

3 = 8x

x = 3/8

E 2x=12

x = 12/2

x = 6

F 2x=15

x = 15/2

x = 7 1/2

Answer:

b) tan 26° = 18/x

Step-by-step explanation:

tan is opposite/adjacent

Answer:

Answer B

Step-by-step explanation:

You have the angle, the opposite and are looking for the adjacent

The only solutions is using tan

tan = opposite / adjacent

Answer:

15

Step-by-step explanation:

Given :

StartAbsoluteValue 8 EndAbsoluteValue + StartAbsoluteValue Negative 7 EndAbsoluteValue

THE ABSOLUTE value of any given number is the positive equivalent of that number ; hence ;

|8| = 8 ;

|-7| = 7

Hence,

|8| + |-7| = 8 + 7 = 15

Answer:

15

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

His friends snack was 6 dollars.

15.25+1.25= 16

16+1.25= 17.25

17.25+1.25= 19

1/6 of 30 is 5 because 5x6=30.

30-19=11

He has to have 5 left over so the snack was 6 dollars.

Answer:

16.6 units

Step-by-step explanation:

Hi there!

We can use the Pythagorean theorem to help us solve this problem: [tex]a^2+b^2=c^2[/tex] where c is the longest side of a right triangle (the hypotenuse) and a and b are the other two sides

It's safe to assume that x is the longest side in this triangle, making it the c value. Plug 14 and 9 into the equation as a and b and solve for x:

[tex]14^2+9^2=x^2\\196+81=x^2\\277=x^2\\x=16.6[/tex]

Therefore, the value of x is 16.6 units when rounded to the nearest tenth.

I hope this helps!

Answer:

B

[tex]area = 2\pi \: rh \\ = 2 \times 3 \times 5 \times 1 \\ = 30 \: {cm}^{2} [/tex]

Answer:

80miles

Step-by-step explanation:

Area of a square grid = L²

L is the side length of the grid

Given that Area of the square = 400mi square

400 = L²

L =√400

L = 20miles

To get the number of miles travelled, we will find its perimeter

P = 4L

P = 4(20)

P = 80miles

Hence Jacob's family travels 80miles

Answer:

your answer would be become 11 feet

the equivalent expression is C

Answer:

-1

Step-by-step explanation:

y2-y1/x2-x1

-4-5/5- -4

-9/9

-1

4x + 5 = 3x +4

4x - 3x = 4-5

x = -1

value of x is equal to -1

Answer:

x = -1

Step-by-step explanation:

4x + 5 = 3x +4 (subtract 3x from both sides)

-3x        -3x

=1x         =0

rewrite: x + 5 = 4 (subtract 5 from both sides)

                  -5  -5

                  =0  =-1

Therefore x = -1 (Please mark brainliest hope i helped :)

Answer:

c = 12

Step-by-step explanation:

If c is one side you would need to multiply that side times 4 because that's the way you find the perimeter. In this case, you need to divide 48 by 4 so that you get the centimeters for each side. The answer is 12

Brainliest pls

Answer: [tex]20,706\ m^3[/tex]

Step-by-step explanation:

Given

The warehouse has the following dimension

Height is [tex]h=8\frac{1}{2}\ m[/tex]

[tex]h=\dfrac{17}{2}\ m[/tex]

Length is [tex]l=120\ m[/tex]

Width is [tex]w=20\frac{3}{10}\ m[/tex]

[tex]w=\dfrac{203}{10}\ m[/tex]

Volume of the warehouse is the product of height, length and width

[tex]\Rightarrow V=h\times l\times w\\\\\Rightarrow V=\dfrac{17}{2}\times 120\times \dfrac{203}{10}\\\\\Rightarrow V=20,706\ m^3[/tex]

Therefore, the length of the warehouse is [tex]20,706\ m^3[/tex].

The polynomial function of degree 7 with the given zeros and multiplicities is: f(x) = x³(x + 2)³(x - 2)

To find a polynomial function with the specified zeros and multiplicities, we can construct it using the factors that correspond to each zero and multiplicity.

Since -2 has a multiplicity of 3, it means it appears three times as a zero. Similarly, 0 has a multiplicity of 3, and 2 has a multiplicity of 1.

A polynomial function with these zeros and multiplicities can be written as:

f(x) = (x + 2)³ × x³ × (x - 2)

To make it a polynomial of degree 7, we can multiply it by an additional linear factor:

f(x) = (x + 2)³ × x³ × (x - 2) × (x - r)

Where "r" is a constant representing the last factor. This factor ensures the degree of the polynomial is 7.

Now, we need to find the value of "r" to complete the polynomial. Since we already have three factors with multiplicity 3 and one factor with multiplicity 1, the polynomial has already reached its degree of 7.

Therefore, we don't need to include the "x - r" factor, and the final polynomial is:

f(x) = (x + 2)³ × x³ × (x - 2)

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The polynomial function of degree 7 with -2 as a zero of multiplicity 3, 0 as a zero of multiplicity 3, and 2 as a zero of multiplicity 1 is f(x) = x^7 + 4x^6 - 12x^5 + 20x^4 - 16x^2.

To find a polynomial function of degree 7 with the given zeros and multiplicities, we can start by constructing the factors of the polynomial.

Since -2 is a zero of multiplicity 3, we have the factor (x + 2)^3. Similarly, since 0 is a zero of multiplicity 3, we have the factor x^3. Lastly, since 2 is a zero of multiplicity 1, we have the factor (x - 2).

Multiplying these factors together, we obtain:

(x + 2)^3 * x^3 * (x - 2)

Expanding this expression, we get:

(x^3 + 6x^2 + 12x + 8) * x^3 * (x - 2)

To simplify further, we multiply the terms:

(x^6 + 6x^5 + 12x^4 + 8x^3) * (x - 2)

Expanding again, we obtain:

x^7 - 2x^6 + 6x^6 - 12x^5 + 12x^4 - 24x^3 + 8x^3 - 16x^2

Combining like terms, we get:

x^7 + 4x^6 - 12x^5 + 20x^4 - 16x^2

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Answer:

D

Step-by-step explanation:

To find the inverse of a function, first replace f(x) with y.

Next, switch all the x's and y's, and then solve for y.

Finally, replace y with f-1(x).

Answer:

6b+16n=178

n=b+7

Step-by-step explanation:

Let b=the number of bracelets made

Let n=the number of necklaces made

​

System of Equations:

​

6b+16n=178

n=b+7

Answer:

The answer is 2(23x+4).

Answer:

[tex]n=9[/tex]

Step-by-step explanation:

[tex]3n-18=9[/tex]

[tex]3n+18=[/tex] +18

[tex]3n=27[/tex]

[tex]3(9)=27[/tex]

[tex]n=9[/tex]