What number line shows Point A at -4, Point B at 2.5, Point C at -2 1/2, and Point D, which is the opposite of Point A.

Answer:

A= -8

Step-by-step explanation:

-A - 22=-2A-30

+2A             +22

A         =   -8

Answer:

should be 15%

Step-by-step explanation:

formula is |85,000 - 100,690| ÷ 100,690 × 100

Answer:

x is 8.2 I think hold on

yeah I think

Step-by-step explanation:

A

let's bring everything on the right hand side back under the square root :

8² = 64

(x³)² = x⁶

so, we get

sqrt(448x^c) = sqrt(64×7×x⁶×x) = sqrt(448×x⁷)

therefore, c = 7

B

similar to A let's bring everything on the right side under the cubic root :

4³ = 64

(x)³ = x³

cubic root(576x^d) = cubic root(64×9×x³×x²) =

= cubic root(576×x⁵)

therefore, d = 5

Answer:

36 yards

Step-by-step explanation:

10 yards needed minus 30 then add 1 and 3 and you have your answer

The function of the water balloon is an illustration of a quadratic function.

The balloon will splat on the ground after 2.5 seconds

The function is given as:

[tex]h(t) = -6t^2 + 13t + 5[/tex]

When the balloon splats on the ground, the value of h(t) is 0.

So, we have:

[tex]-6t^2 + 13t + 5 = 0[/tex]

Expand the expression

[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]

Factorize the above expression

[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]

Factor out 2t - 5 in the 2t - 5

[tex](-3t - 1)(2t - 5 )= 0[/tex]

Split the equation into 2

[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]

Rewrite as:

[tex]-3t = 1\ or\ 2t = 5[/tex]

Solve for t

[tex]t = -\frac 13\ or\ t = \frac 52[/tex]

The value of t cannot be less than 0 i.e. negative.

So, we have

[tex]t = \frac 52[/tex]

Divide 5 by 2

[tex]t = 2.5[/tex]

Hence, the balloon will splat on the ground after 2.5 seconds

Read more about quadratic functions at:

https://brainly.com/question/11631534

Based on the information given the real interest rate is 1.75%.

Using this formula

Real interest rate =Nominal interest rate − Inflation rate

Where:

Nominal interest rate=4.00%

Inflation rate=2.25%

Let plug in the formula

Real interest rate=4.00%-2.25%

Real interest rate=1.75%

Inconclusion the real interest rate is 1.75%.

Learn more about real interest rate here:https://brainly.com/question/6106690

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, - 2 ) into the partial equation

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

y = - [tex]\frac{1}{2}[/tex] x - 1 ← equation of line

Answer:

y=-1/2x-1

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/2(x-2)

y+2=-1/2(x-2)

y=-1/2x+2/2-2

y=-1/2x+1-2

y=-1/2x-1

Answer:

no of girls - 300

no of boys - 450

no of girls - 6

no of boys - 9

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

Given

Let boys be x and girls y

x = 2y-3

x - 2y = -3 ------(i)

x = 60/100(x+y)

10x = 6x + 6y

4x = 6y

2x = 3y

2x - 3y =0------(ii)

Subtract (ii) from (i)*2

no of girls - 6

no of boys - 9

to learn more about algebraic expression refer to:

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Answer:

30

Step-by-step explanation:

Split the trapezoid into parts, a rectangle and a triangle. The dimensions of the rectangle will be 3 and 8, so 3*8=24. 24 is part of the answer. The dimensions of the triangle are 4 and 3, and 4*3/2 is 6, so 6 is the other part of the answer. 24 + 6 = 30.

Answer:

Divide everything by 100.

Step-by-step explanation:

If you divide every number you want by 100, you get a decimal out of 100.

Answer:

three hundred twenty six thousandths

Answer:

Domain: {-6, -2, -1, 1, 3, 6}

Range: {-6, -2, -1, 0, 3}

Step-by-step explanation:

to find the domain of a function, you look at all the possible x-values. this means you look at all the points, and see what their x-values are.

for example, the first point on the left is at (-6, -1). this means that -6 is in the domain. continue doing this for all the points, and you get {-6, -2, -1, 1, 3, 6}

to find the range of a function, it's just like domain but with y-values.

for example, for the leftmost point, it's at (-6, -1) so -1 is part of the range. continuing this with all the points, you get {-6, -2, -1, 0, 3}

Answer:

ye

Step-by-step explanation:

Answer:

3/12 or 1/4

Step-by-step explanation:

Answer:

1/4 is the answer.

Step-by-step explanation:

3/4 x 1/3​

=> 3/12

=> 1/4

Therefore, 1/4 is the answer.

Hoped this helped.

[tex]\text{Given that,}\\\\\vec{v} = 15 \hat{i} +8 \hat j\\\\ \\\text{Magnitude of the vector,}\\\\|\vec v| = \sqrt{15^2 +8^2}= \sqrt{289} = 17[/tex]

Answer:

0.85 × 9.412=8.0002 nearest so 0.25 × 9.421= 2.35525

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

because

60:6=10

every team has the same number of players

(it was an easy proble to solve thats why im typing , so i the app can confirm it as an answer)

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Answer:

10

Step-by-step explanation:

no. of teams=6

no. of players=60

no. of players in each team=60/6=10

[tex] \frac{5x}{2} - \frac{3x}{4} = 10 \frac{1}{2} \\ [/tex]

[tex] \frac{5x}{2} - \frac{3x}{4} = \frac{21}{2} \\ [/tex]

Multiply both sides by 4

[tex]4 \times ( \frac{5x}{2} - \frac{3x}{4} ) = 4 \times \frac{21}{2} \\ [/tex]

[tex]10x - 3x = 42[/tex]

[tex]7x = 42[/tex]

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{42}{7} \\ [/tex]

[tex]x = 6[/tex]

Answer:

27

Step-by-step explanation:

Answer:

14, 15, 16

Step-by-step explanation:

n + n+1  + n + 2 = 45

3n + 3 = 45

3n = 42

n = 14

14, 15, 16

Answer:

a. (10,10)

Step-by-step explanation:

This was by accident the first answer is right

[tex]\dfrac{3}{\tfrac 35} = 3 \times \dfrac 53 = 5[/tex]

Answer:

5

Step-by-step explanation:

3 -> [tex]\frac{3}{1}[/tex]

Method is "Keep, Change, Flip"

[tex]\frac{3}{1} / \frac{3}{5} =\frac{3}{1} * \frac{5}{3} = \frac{15}{3} = 5[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Step-by-step explanation:

Well, the opposite of a number is the same number with the opposite sign. For example, the opposite of -1 is 1.

So, say we have an equation where we're subtracting a number, for example, 2-1, which obviously equals 1. Now, if we add the opposite of 1 to 2, we get the equation 2+(-1) which still equals 1.

I hope this helps!

Answer:

cosθ = -√(35/36)

tanθ = -1/√35

Step-by-step explanation:

We know that

sin²θ + cos²θ = 1

(1/6)² + cos²θ = 1

1 - (1/6)² = cos²θ

35/36 = cos²θ

sec θ = 1/ cosθ

1/ secθ = cos θ

Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0

cosθ = -√(35/36)

tanθ = sinθ/cosθ = (1/6)/-√(35/36)

= (1/6) / -(√35/6)

= -1/√35