What is the volume of Trisha's
pyramid. in cubic inches?
9 in
6 in
8 in

Step-by-step explanation:

In this case, you input the value of y (y = 6) into the equation ( 2.5(y-x)= 0)

2.5(6-x) = 0

Open the bracket,

(2.5×6)-2.5x= 0

Collect like terms.

2.5x= 2.5×6

Divide both sides by the coefficient of x (2.5)

x = 6

So,

x= 6 is true.

.

Substituting 6 for x in the equation,

2.5(6-6)= 0

2.5•0 = 0

0= 0

Which is also true.

Answer: y=3

Step-by-step explanation:

Answer:

0.74

Step-by-step explanation:

The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:

σ² = [tex]\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}[/tex]

x = number in the data set
xbar = median of the data set
n = number of terms

Plugging in the given values, the equation for the variance of this number set is:

σ² = [tex]\frac{(0.5 - 1.625)^{2} + (1.5 - 1.625)^{2}+ (2.0 - 1.625)^{2}+(2.5 - 1.625)^{2} }{4}[/tex]

Solving:

= [tex]\frac{1.265625+0.015625+0.140625+0.765625}{4}[/tex]

= [tex]\frac{2.1875}{4}[/tex]

σ² = 0.546875

Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:

[tex]\sqrt{0.546875}[/tex]

= 0.73950997288745

= 0.74 (rounded)

hope this helps!

Answer:

0.5

Step-by-step explanation
Because it is a standar deviation

Answer:

1/26

Step-by-step explanation:

There are 52 cards....four are 9's      4/52

six possible rolls    three are even     3/6

4/52 * 3/6 =   1/26

Answer:

5229 mm³

Step-by-step explanation:

Volume of square pyramid

[tex]\sf \boxed{Volume \ of \ the \ square \ pyramid = \dfrac{1}{3}*b^2*H}[/tex]

      b = base length = 25 mm

       H = height

         We have to find 'H' using Pythagorean theorem,

              slant height (hypotenuse) = 28 mm

                                                  leg₁ = base length  ÷ 2 = 25÷2 = 12.5

                                                  leg₂ = H

     H² + (12.5)² = 28²

                  H²   = 784 - 156.25

                         = 627.75

                   [tex]\sf H = \sqrt{627.75}[/tex]

                 H = 25.01 mm

          [tex]\sf \text{Volume of square pyramid =$\dfrac{1}{3}*25*25*25.1$ }[/tex]

                                                     = 5229 mm³

[tex]\sf \boxed{\text{Volume of square pyramid = \dfrac{1}{3}*25*25*28}}[/tex]

Answer:

180 weeks you have to convert the percentage to a decimal and multiple it to 3000

Answer:

y = - 21

Step-by-step explanation:

System of equations:

- 6x + 2y = - 18

- 3x - 2y = 54

To find y will look to eliminate x:

- 6x + 2y = - 18

- 3x - 2y = 54   (multiply both sides by -2)

- 6x + 2y = - 18

 6x + 4y = - 108

---------------------------- (add those two equations)

        6y  =  - 126        (divide both sides by 6)

          y  =  - 126/6           (simplify by 6)

           y = - 21

Answer: -21

Step-by-step explanation:

Answer:

C 31

Step-by-step explanation:

The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean.

Answer:

Option B, [tex](48x^{8}y^{5})[/tex]

Step-by-step explanation:

Step 1:  Simplify the exponent

[tex](12x^{2}y^{3})(2x^{3}y)^{2}[/tex]

[tex](12x^{2}y^{3})(2^{2}x^{3*2}y^{1*2})[/tex]

[tex](12x^{2}y^{3})(4x^{6}y^{2})[/tex]

Step 2:  Simply the expression

[tex](12x^{2}y^{3}*4x^{6}y^{2})[/tex]

[tex](48x^{2+6}y^{3+2})[/tex]

[tex](48x^{8}y^{5})[/tex]

Answer: Option B, [tex](48x^{8}y^{5})[/tex]

Answer:

Capital Gains

Step-by-step explanation:

selling for more than you bought is a gain

Answer:

32.5 square feet

Step-by-step explanation:

Area of a trapezoid

Solving

Answer:

32.5 square feet

Step-by-step explanation:

here we just find the area of both shapes within the trapezoid and add them, let's start with the triangle,

formula for the area of a triangle is 0.5 × base × height

therefore,

the area of the triangle is 7.5

the area of a square is equal to the length of the side squared.

5^2 = 25

the sum of 25 + 7.5 = 32.5

final answer is 32.5 square feet

if you need any further guidance make sure to ask:)

Answer:

See below:

Step-by-step explanation:

Y intercept    is 'short' for y-AXIS intercept...

 the line intercepts the y axis at d = 7 blocks

the slope =   change in y  / change in x

                          - 5           /      1           = - 5   (using the points on the graph)

Answer:

Launch may not occur if the temperature is 35° F or colder.

would be your answer.

Step-by-step explanation:

The temperature cannot exceed 99° F for 30 consecutive minutes. Peak wind speed is 30 knots. When the wind direction is between 100 degrees and 260 degrees, the maximum wind speed may be as low as 24 knots.

-121-1,649°C.

Answer:

answer below

Step-by-step explanation:

3/5=60%

1/50=2%

9/10=90%

9/5=180%

18/60=30%

Answer:

Rewrite the whole as an equivalent fraction 2.1 Subtracting a whole from a fraction. Rewrite the whole as a fraction using 2 as the denominator.

Check the picture below.

The solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60

Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory

Projectile motion

We are told that the projectile motion of an object can be modeled using;

h(t) = gt² + v0*t + h0

Where;

g is the acceleration due to gravity

t is the time since launch

h(t) is the height of the projectile after time t

v0 is the initial velocity

h0 is the initial height.

Now, we are given;

The acceleration due to gravity; g = –9.8 m/s²

Initial velocity; v0 = 20 m/s

Initial height; h0 = 60 m

Hence solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60 h(t) = -9.8t² + 20t + 60

Read more on projectile aat; brainly.com/question/14899130

Answer:

it's c on edge :] have a nice day

Answer:Reflecting over the y-axis = (x,y) → (-x,y)

So T will be (1,3) , U (3,-17) and V (-12. -8)

So D

Step-by-step explanation:

Answer:

T (1, 3), U (3, −17), V (−12, −8)

Step-by-step explanation:

To find the image as it is reflected from the preimage across the y-axis, apply the transformation rule, (x,y)→(−x,y), to each of the preimage points.

T(−1,3)→T'(1,3)

U(−3,−17)→U'(3,−17)

V(12,−8)→V'(−12,−8)

Draw lines between the found vertices to construct the reflected figure.

Therefore, the reflection of the figure with vertices T(−1,3), U(−3,−17), and V(12,−8) across the y-axis is the figure with vertices T'(1,3), U'(3,−17), and V'(−12,−8).

Answer:

900 - 60n ≥ 450

n ≤ 7.5

Answer: 7 weeks

Step-by-step explanation:

Let n = numberof weeks.

In n weeks, you withdraw 60n from the account.

After withdrawing $60 for n weeks, teh amount must be at least $450. At least $450 means greater than or equal to $450.

900 - 60n ≥ 450

-60n ≥ -450

n ≤ 7.5

Answer: 7 weeks

Answer:

$150,000.

Step-by-step explanation:

Answer:

78:159*100 =

(78*100):159 =

7800:159 = 49.06

Answer: 26

Step-by-step explanation: The third length is the hypotenuse or the longest side

[tex]~~~~~~3x-20=223\\\\\implies 3x = 223+20\\\\\implies 3x = 243\\\\\implies x = \dfrac{243}{3}\\\\\implies x =81\\\\\text{The number is 81.}[/tex]

Answer:

A=27,500(1-.09)² or A=27,500(0.91)²

Answer:

Nice handwriting!

Step-by-step explanation:

I have no idea im only in 8th grade.

The price at which the Nepali bags should be sold in order to make a profit of 140% is $21.02.

Profit is total revenue less total cost.

The first step to convert Rs. 800 to US dollars: 800 / 105 = $7.62

The second step is to determine the total cost including taxes: 1.15 x 7.62  = $8.76

Selling price = (1 + 1.40) x 8.76 = $21.02

To learn more about percentages, please check: https://brainly.com/question/25764815

Answer:

A. 30°, 70° and 80°

B. 10cm

Step-by-step explanation:

A. the two triangle have same angles

so the angles of triangle 2 are 30°, 70° and 80°

B. the perimeter of triangle, is twice as long as the perimeter of

triangle 2

so the perimeter of triangle 2 is 20÷2 = 10 cm

An expression has numbers, variables, and mathematical operations. The representation of Leroy's total employment compensation is $46,650.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that Leroy's total job benefits were $50,150. while his total job expenses for traveling and for professional development for the year were $3,500. As the total employment compensation is the amount that is the difference between job benefits and job expenses. Therefore,

[tex]\rm Total\ employment\ compensation= Job\ benefits + Job\ expenses[/tex]

                                                   [tex]= \$50,150 - \$3,500\\\\= \$46,650[/tex]

Hence, the representation of Leroy's total employment compensation is $46,650.

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

the representation of Leroy's total employment compensation is $46,650.

Step-by-step explanation: