add 4 to 7, then multiply 5 by the result??

Step-by-step explanation:

well, I see one large rectangle (20×6), and 2 small triangles with their horizontal sides being (20-8-6)/2 = 3 m. and their vertical joined side being 10-6 = 4 m.

the total area is simply the sum of the rectangle and the 2 triangles.

the rectangle is

20×6 = 120 m²

each triangle is

4×3/2 = 2×3 = 6 m²

we have 2 of them, so their combined area is 2×6 = 12 m².

the total area is

120 + 12 = 132 m²

the volume of the triangular prism will be, the area of the triangular face times its length

[tex]\stackrel{\textit{area of the triangle}}{\left[ \cfrac{1}{2}(\underset{b}{8})(\underset{h}{8}) \right]}~~ ~~\stackrel{length}{(x)}~~ = ~~\stackrel{volume}{576}\implies 32(x)=576 \\\\\\ 32x=576\implies x=\cfrac{576}{32}\implies x=18[/tex]

Answer:

50+3+80+1+40+4+70+2

Step-by-step explanation:

Pls thank if correct

Dont get mad if not correct.

Hope this helps <3

Answer:

44

Step-by-step explanation:

60 × 5 or 300

or

52 × 5 or 260

24

50

× 100 or 0.48 × 100

or 48

348 implies

60 × 5 +

24

50

× 100 – 52 × 5

or

300 + 48 – 260 or 88

Answer:

Molly would be 1 years old.

Step-by-step explanation:

"In three years..."

(m+3) will be Molly's age then.

(h+3) will be Heidi's age then.

(h+3) = 2(m+3) :: given.

.

Subsitute what we know about m, which is it equal h-4.

.

(h+3) = 2(m+3)

(h+3) = 2m + 6

substitute m=h-4

(h+3) = 2(h-4) +6

h +3 = 2(h -4) +6

h +3 = 2h -8 +6

h +3 = 2h -2

h = 2h -8 +3

-h = -5

h = 5

Heidi is 5 years old now.

.

m = h-4

m = 5-4

m = 1

Molly is 1 years old now.

Answer:

177

Step-by-step explanation:

the number of sit-ups is going up in 4s , so if i take the 33 sit ups she does on the 5th day i add 4 to that 12 times , so you just do 33+12 and multiply that by 7 since thats how many days she has until 12.

Answer: (0, 9) or x = 0, y = 9

Step-by-step explanation:

     The solution is the point of intersection.

Here, the lines intersect at the point (0, 9) in the format of (x, y) so we can pull out the answers x = 0 and y = 9.

Answer:

(0, 9)

Step-by-step explanation:

Doing the exact same steps for the other line...

Answer:

no. 4

Step-by-step explanation:

=25x - 125/x^2 - 25

=25(x-5) / x^2 - 5^2

=25(x-5) / (x-5) (x+5) <use of formula a^2 - b^2=(a-b) (a+b)>

=25/x+5 <cut (x-5) on both side>

If the wrong discion criterion is used, the potential lose in value for the firm is $209.07.

The  correct decision criterion is the net present value. Net present value is the present value of after-tax cash flows from an investment less the amount invested. The internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested

The net present vaue and the internal rate of return can be calculated using the financial calcuator.

Project S:

I = 6%

NPV = 291.74

IRR = 17.86%

Project I:

Cash flow in year 0 = $-2150

Cash flow each year from year 1 to 4 = 765

I = 6%

NPV = 500.81

IRR = 15.78%

If the wrong criteria is used, Project S would be chosen.

Loss in value = 500.81 - 291.74 = $209.07.

Here are the cash flows used:

WACC: 6.00%

Year 0 1 2 3 4

CF S -$1,025 $380 $380 $380 $380

CF I -$2,150 $765 $765 $765 $765

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[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{vertex}{(-3~~,~~5)}\qquad y=a[x-(-3)]^2+5\implies y=a(x+3)^2+5 \\\\\\ \textit{we also know that} \begin{cases} x=-1\\ y=2 \end{cases}\qquad 2=a(-1+3)^2+5\implies -3=a(2)^2 \\\\\\ -3=4a\implies -\cfrac{3}{4}=a~\hfill \boxed{y=-\cfrac{3}{4}(x+3)^2+5}[/tex]

Answer: The orientation of the vertices was changed.

(x, y) ---> (x + 8, y - 3)

Step-by-step explanation: The triangle translation isn't on quadrant II, it's on quadrant I, so that answer choice isn't correct.  The triangle ABC translated 8 units right and 3 units down, not 8 units left and 3 units up.  Whenever you dilate, translate, rotate, or reflect triangles like ABC, the next triangle becomes A'B'C because it shows you that it's a transformation of the original triangle.  The orientation of the figure didn't change, because it didn't change shape, rotation, or size, so the orientation wasn't affected at all, just the vertices.  

The transformation is (x, y) ---> (x + 8, y - 3), because think of it like this.  I already said that the triangle translated 8 units to the right, which means that the triangle is translating 8 units in the positive direction to the right.  The triangle going 3 units down is in the negative direction, and that's why it's (x, y) ---> (x + 8, y -3).

Let me know if this is right! :)

Answer:

63 + 10

Step-by-step explanation:

when you do parenthesis and the number is next to another one with no symbol you multiply so 4-2 = 2 2 x 5 = 10 giving you 63 + 10

Answer:

ength l = 1 in

width w = 14 in

height h = 2.5 in

diagonal d = 14.3 in

total surface area Stot = 103 in2

lateral surface area Slat = 75 in2

top surface area Stop = 14 in2

bottom surface area Sbot = 14 in2

volume V = 35 in3

Answer: B) x=5, x=1

Step-by-step explanation:

To start multiply everything in the expression by 2

[tex]0.5x^{2} -3x+2.5\\x^{2} -6x+5[/tex]

Now factor the trinomials for when a=1

So you must find two numbers that add to -6 and multiply to 5

In this case, the numbers are -1 and -5

[tex]x^{2} -6x+5\\(x-1)(x-5)[/tex]

Now set each of the factors equal to 0 and solve for x

[tex]x-1=0\\x-1+1=0+1\\x=1[/tex]

[tex]x-5=0\\x-5+5=0+5\\x=5[/tex]

Answer:

hopes this helps.

Step-by-step explanation:

Hey there!

2(5x + 3) - 2(2x - 3)

DISTRIBUTE

= 2(5x) + 2(3) - 2(2x) - 2(-3)

= 10x + 6 - 4x - 6

COMBINE the LIKE TERMS

= (10x - 4x) + (6 + 6)

= 10x - 4x + 6 + 6

= 6x + 12

Therefore, your answer is: 6x + 12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

1

Step-by-step explanation:

[tex](3^{0} )^{-3} =1^{-3} =\frac{1}{1^3} =1[/tex]

Anything to the power of 0 = 1

Negative exponents = inverse

Hope this helps!

Answer:

474 m²

Step-by-step explanation:

Surface area of a rectangular prism:

SA = 2(lw + lh + hw)

Given:

⇒ SA = 2(7 · 6 + 7 · 15 + 15 · 6)

         = 2(42 + 105 + 90)

         = 2(237)

         = 474 m²

Answer:

474 Sq m

Step-by-step explanation:

You have two sides that are 7m x 6m

(7*6)*2 = 84

You have two sides that are 15m x 6m
(15*6)*2 = 180

You have two sides that are 15m x 7m

(15*7)*2 = 210

84+180+210=474

The domain is represented by the set of values of the time, that is, the horizontal axis, and the domain of the given function is represented by t ∈ [0, 4.5].

All functions are relations in which there is no value of the domain related to more than one value of the range, functions in explicit form related the variable of the range in terms of the variable of the domain.

Based on the information shown in the graph, the domain is represented by the set of values of the time, that is, the horizontal axis, and the range is represented by the set of values of the height, that is, the vertical axis.

Hence, the domain is represented by the set of values of the time, that is, the horizontal axis, and the domain of the given function is represented by t ∈ [0, 4.5].

To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/12431044

Answer:

3 is the answer

Step-by-step explanation:

answer up above

Answer:

61.90 ft

Step-by-step explanation:

Perimeter: the boundary that surrounds a shape

1) Find the perimeter of the semicircle using this formula: [tex]\frac{1}{2} *2\pi r[/tex], where [tex]r[/tex] is the radius, and π is 3.14 (according to the question).

1.1) We need to find the radius first.

Radius = Diameter ÷ 2

So, 10 ÷ 2 = 5

1.2) Input the values into the semicircle formula.

[tex]\frac{1}{2} *2(3.14)(5)[/tex]

1.3) solve for the perimeter of the semicircle.

[tex]\frac{1}{2} *31.4[/tex]

= 15.7

2) Find the perimeter of the triangle and the rectangle.

= [tex]6 + 12.2 + 14 + 14[/tex]

= 46.2

3) Add them.

= [tex]46.2 + 15.7[/tex]

= 61.9 ft

3) Round the answer (61.9) to the nearest hundredth (according to the question).

= 61.90 ft

As per the total length of the arc of a semicircle, the outer perimeter of this figure is 61.9 feet.

A semicircle that has a radius of 'r' units, has the total length of it's arc is

= πr units

In the given figure, the semicircle has a diameter = 10 feet.

Therefore, the radius of the semicircle

= 10/2 feet

= 5 feet

Now, the total length of it's arc is

= πr units

= 3.14 × 5 feet

= 15.7 feet

Therefore, the outer perimeter of this figure is

= (12.2 + 6 + 14 + 15.7 + 14) feet

= 61.9 feet

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#SPJ3

Answer: B 3m/s²

Step-by-step explanation: Acceleration is difference in speed /time = 15-0/5

Answer:

81

Step-by-step explanation:

Geometric sequence formula:  [tex]a_n=ar^{n-1}[/tex]

Given:

Find common ratio (r):

[tex]\begin{aligned}\implies \dfrac{a_{28}}{a_{23}} =\dfrac{ar^{27}}{ar^{22}} & =\dfrac{24}{16}\\ \implies r^5 & =\dfrac32\\ \implies r & = \sqrt[5]{\frac32} \end{aligned}[/tex]

Find initial term (a):

[tex]\implies ar^{22}=16[/tex]

[tex]\implies a(\sqrt[5]{\frac32} )^{22}=16[/tex]

[tex]\implies a(\frac32} )^{\frac{22}{5}}=16[/tex]

[tex]\implies a=\dfrac{16}{(\frac32)^{\frac{22}{5}}}[/tex]

Find the 43rd term:

[tex]\implies a_{43}=ar^{42}[/tex]

[tex]\implies a_{43}= \left(\dfrac{16}{(\frac32)^{\frac{22}{5}}}\right)(\sqrt[5]{\frac32} )^{42}[/tex]

[tex]\implies a_{43}=16 \cdot (\frac32)^{-\frac{22}{5}} \cdot (\frac32)^{\frac{42}{5}}[/tex]

[tex]\implies a_{43}=16 \cdot (\frac32)^4[/tex]

[tex]\implies a_{43}=16 \cdot \left(\dfrac{3^4}{2^4}\right)[/tex]

[tex]\implies a_{43}=16 \cdot \left(\dfrac{81}{16}\right)[/tex]

[tex]\implies a_{43}=81[/tex]

Answer:

transformation down 4, transformation right 1

Step-by-step explanation:

Answer:

Four down, 1 right so [tex](x+1,y-4)[/tex]

Step-by-step explanation:

Hope this helps! Have a good day! :)

The probability that the next customer that comes into Daniel's business will pay with a credit card is 23 / 87.

Probability determines how likely it is that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the next customer will pay with a credit card = number of people who paid with a credit card / total number of customers

23 / (23 + 60 + 4)

23 / 87

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By solving a system of equations we will see that the charge on the first city was $5,000, and on the second city, $4,000.

Let's define the variables:

We know that:

C₂ = C₁ - $1000

And we also know that the total tax is $455, then we can write:

0.035*C₁ + 0.07*C₂ = $455

(this says that the total tax is $455)

So we have a system of equations:

C₂ = C₁ - $1000

0.035*C₁ + 0.07*C₂ = $455

We can replace the first one into the second to get:

0.035*C₁ + 0.07*(C₁ - $1000) = $455

0.105*C₁ - $70 = $455

C₁ = ($455 + $70)/0.105 = $5,000

And:

C₂ = C₁ - $1000 = $5,000 - $1,000 = $4,000

The charge in the first city is $5,000 and in the second city was $4,000.

If you want to learn more about systems of equations, you can read:

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Answer:

The scores from Mrs. Rijo’s class are the closest to the class mean.

Step-by-step explanation:

Jus took the test

Answer:The scores from Mrs. Rijo’s class are the closest to the class mean.

Step-by-step explanation:

B

The shape of the cross section formed from slicing the pyramid is called; a triangle

We are told that it is a pyramid with a base that is a pentagon with all sides the same length.

Now, the Pyramid's ap-ex is usually constructed by isosceles triangles. Thus, when they are sliced from its ap-ex to from the vertex, in the cross section a triangle will be formed, This triangle will be an isosceles triangle.

In conclusion, the shape of the cross section formed from slicing the pyramid is a triangle.

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