I was wondering what the surface area was. for this prism?

Answer:

She would have $1,126.16 in 3 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Invested 1000, which means that [tex]P = 1000[/tex].

Interest of 4%, so [tex]r = 0.04[/tex]

Semianually is twice a year, so [tex]n = 2[/tex]

How much money would she have in 3 years?

This is A(3).

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(3) = 1000(1 + \frac{0.04}{2})^{6} = 1,126.16[/tex]

She would have $1,126.16 in 3 years.

Answer:

10.8

Step-by-step explanation:

5 times what gives 6? 5 times 1.2

So now you just do 9 times 1.2 which is 10.8

Answer:

10.8

Step-by-step explanation:

5*x=6

5*1.2=6

9*1.2=r

r=10.8

Answer:

32

Step-by-step explanation:

you add together the 2 and 6 which gets you 8 and since the formula for the area of a triangle is bass * height divided by 2 you would do 8 * 8 which is 64 and then you divide by 2 which is 32  

Answer: 1/5

Step-by-step explanation:

From the question, there are ten dogs at the dog park on a busy Saturday and two of the dogs are Corgis. The probability that a randomly selected dog is a Corgi will be the number of Corgis divided by the total number of dogs. This will be:

Probability (Corgi) = Number of Corgis/total number of dogs.

Probability (Corgi) = 2/10

= 1/5

Answer:

5x-(9x+14)=−4x−14

3(x+10)-2=3x+28

So, 3(x+10)-2 is greater than 5x-(9x+14)

Answer:

ab+ac does not give the area of this figure.

Step-by-step explanation:

In every situation here except this one, a and b are being added to each other. a and b are on the same side. This means that they cannot be multiplied together and result in the area.

The answer is (a b+ ac) does not give the area of this figure.

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

Here, we have,

In every situation here except this one, a and b are being added to each other. a and b are on the same side. This means that they cannot be multiplied together and result in the area.

Hence, correct answer is (a b+ ac) does not give the area of this figure.

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Remember: volume=length x width x height

So  i think its 15, 15, and neither of them have greater volume.

Answer:

x = ( √11 + 5 ) / 2, and x = ( - √11 + 5 ) / 2

Step-by-step explanation:

Let us solve by completing the square;

7 = - 2x^2 + 10x, ⇒ Switch sides,

- 2x^2 + 10x = 7, ⇒ Divide both sides by - 2,

x^2 - 5x = - 7 / 2, ⇒ Write the equation in the form x^2 + 2ax+ a^2, ( x + a )^2, solving for the value of a,

2ax = - 5x,

a = - 5x / 2x,

a = - 5 / 2, ⇒ Add a^2 ⇒ ( - 5 / 2 )^2 to either side of equation,

x^2 - 5x +  ( - 5 / 2 )^2 = - 7 / 2 + ( - 5 / 2 )^2, ⇒ Simplify,

( x - 5 / 2 )^2 = 11 / 4,

| x - 5 / 2 | = √ ( 11 / 4 ), Solve for value( s ) of x,

Answer; x = ( √11 + 5 ) / 2, and x = ( - √11 + 5 ) / 2

The solutions to the equation are x = 5/2 + √(11/2) or x = 5/2 - √(11/2).

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

First, we need to rewrite the equation in standard form:

-2x² + 10x - 7 = 0

Next, we can factor out -2 from the variable terms:

-2(x² - 5x) - 7 = 0

To complete the square, we need to add and subtract the square of half the coefficient of x:

-2(x² - 5x + 25/4 - 25/4) - 7 = 0

Simplifying.

-2((x - 5/2)² - 25/4) - 7 = 0

Distributing the -2 and simplifying further:

-(x - 5/2)² + 25/2 - 7 = 0

Combining like terms:

-(x - 5/2)² + 11/2 = 0

Adding 11/2 to both sides:

-(x - 5/2)² = -11/2

Dividing both sides by -1:

(x - 5/2)² = 11/2

Taking the square root of both sides (remembering to consider both the positive and negative roots):

x - 5/2 = ± √(11/2)

Adding 5/2 to both sides:

x = 5/2 ± √(11/2)

Thus,

The solutions to the equation are x = 5/2 + √(11/2) or x = 5/2 - √(11/2).

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Answer:

4th option: 1953.08 mm

Step-by-step explanation:

circumference of circle= [tex]\pi d[/tex]

Thus, circumference of wheel

[tex] = 3.14(622) \\ = 1953.08mm[/tex]

Answer:

D.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

sqrt3 or about 1.7

Step-by-step explanation:

length^2 + Width^2 + Height^2 = Diagonal^2

so 1 + 1 + 1 = 3, which when square rooted equals

sqrt3 or about 1.7

Answer:

b

Step-by-step explanation:

edg

Answer:

1pi or approximately 3.14

area of a Circle is: (pi)(r)^2

so of you plug the formula in for this equation you get

(pi)(1)^2= 1pi or approximately 3.14 which ever your teacher prefers.

Answer:

some Equivalent expressions to 3(6m)+m is;

18m+m

6(3m)+m

2(9m)+m

19m

Step-by-step explanation:

Answer:

Arc EPF is 240°

Step-by-step explanation:

Since the quadrilateral, EFGH is a trapezoid and EF is parallel to GH, we have;

∠HGF + ∠GFE = 180°

∠GHE + ∠GFE = 180°

∠HGF + ∠HEF = 180°

∴∠HEF = ∠GFE

In ΔHEF and ΔGFE

∠EHF = ∠EGF (Angles subtending the same segment)

With side EF common to both triangles and ∠HEF = ∠GFE , we have;

ΔHEF ≅ ΔGFE (Angle Angle Side rule)

Hence, side FG = EH

For cyclic trapezoid side FG = EH

The base angles subtended by GH = 70

Arc EH = x² - 2·x

Arc FG = 56 - 3·x

Therefore;

70 + x² - 2·x + 56 - 3·x + arc EPF = 360 .............(1)

Also since the equation of a circle is (x-h)² + (y-k)² = r², where the center of the circle is (h, k), then as EF is a displacement of say z from GH, then arc EH = FG which gives;

x² - 2·x = 56 - 3·x

x² - 2·x - 56 + 3·x = 0

x² + x - 56 = 0

(x - 7)(x + 8) = 0

Therefore, since x > 0 we have x = 7

Plugging in the value of x into the equation (1), we have

70 + 7² - 2·7 + 56 - 3·7 + arc EPF = 360 .............(1)

70 + 70 + arc EPF = 360

arc EPF = 360 - 140 = 240°.

Answer:

Um theres no question or picture. Or document.

Step-by-step explanation:

Answer:

-21i

Step-by-step explanation:

[tex]i^{2}[/tex] = -1

7*3=21

21 x -1 = -21

Answer:

-21

Step-by-step explanation:

Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

Answer:

523 cm^3

Step-by-step explanation:

The volume of a sphere  is

V = 4/3 pi r^3

V = 4/3 (3.14) (5)^3

V = 523.33333

Rounding to the nearest whole number

V = 523

there is no flow chart

Answer:

WHAT FLOWCHART?

Step-by-step explanation:

Answer:4 words per minute.

Step-by-step explanation:32 divided by 8 is 4.

Answer:

B

Step-by-step explanation:

[tex]2x^{4}y - 18x^{2}y^{3}[/tex]

Both sides have [tex]x^{2}[/tex]

[tex]x^{2} (2x^{2}y - 18y^{3})[/tex]

Both sides have y

[tex]yx^{2} (2x^{2} - 18y^{2})[/tex]

Both sides have 2

[tex]2yx^{2} (x^{2} - 9y^{2})[/tex]

[tex]x^{2} = x.x\\9y^{2} = 3y. 3y[/tex]

[tex](x^{2} - 9y^{2}) = (x +3y) (x-3y)[/tex]

Final:

[tex]\red{ 2 {x}^{2} y(x - 3y)(x + 3y)}[/tex]

Hope this helps ^-^

The factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

The act of expressing a number or other mathematical object as the sum of numerous factors is known as factorization.

The given expression is 2x⁴y-18x²y³.

Factor the expression as follows:

2x⁴y-18x²y³

= 2x²y(x² - 9y²)

= 2x²y(x² - (3y)²)

= 2x²y(x + 3y)(x- 3y)

Hence, the factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

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Answer:

I won't give you the answer but it is adjacent to x+2 x-2

Answer:

227 ft^2

Step-by-step explanation:

Here, we are tasked with calculating the roaming area that Fido has

Calculating this is same as calculating the area of circle that has a radius which is equal to the length of the leash

Mathematically, the area would be

A = π * r^2

A = 3.14 * 8.5^2

A = 226.865 ft^2

To the nearest square foot, this is 227 ft^2

Answer:

A, C and D

Step-by-step explanation:

In this question, we are asked to select which of the options is/are example(s) of compound event(s)

The easiest way to answer this is to have an idea of what we mean by a compound event. When we talk about a compound event, we are referring to an event that has more than one outcome. This is a direct contrast to a simple event where we have only one outcome. To find the probability of a compound event, we shall need to add up the probabilities of all the single events that lies there in

In answering this question, we shall be considering the options one after the other.

A. It is a compound event

This is because we are looking at more than one event happening

B. It is not a compound event

It is not a compound event as we have only one outcome

C. This is a compound event

We have more than one outcome here. In fact, we are dealing with more than one sample space here

D. It is a compound event

We are working on different simple events here

E. It is not a compound event

It is not because we are only focused on a particular type of outcome

Answer:

A, C, D

A: drawing an ace and then a king from a deck of cards

C: rolling a 1 on a number cube and then tossing a coin and landing on tails

D: choosing a banana, then an apple, and then an orange from a fruit basket

Step-by-step explanation:

just did it on edge 2020 hope it helps

:)

Answer:

102 degrees (problem #5)

Step-by-step explanation:

5. 78 = 1/2 ((360-x)-(x)) -->

156 = 360 - 2x -->

-204 = -2x -->

102 = x

Answer:

x=2

y=3

Solution:

First we find common denominators. It is "xy". Then we multiply numerators by common denominator. We get followings:

(4y-3x)/xy=1; (6y+15x)/xy=8

Then

4y-3x=xy;

6y+15=8xy

Multiply first equasion by 5

20y-15x=5xy

Now we add two equasions to get one

20y-15x=5xy

6y+15x=8xy

We get

26y=13xy

Cut "y" and we will find "x"

26=13x

x=2

Put x value into the first equasion(4y-3x=xy) to find out "y"

4y-6=2y

2y=6

y=3

Answer:

[tex] 94.2 -0.994*3.1 = 91.1186[/tex]

[tex] 94.2 +0.994*3.1 = 97.2814[/tex]

And the 68% confidence interval is given by (91.1186, 97.2814)

Step-by-step explanation:

For this case we know that mean time that visitors stay at a museum is given by:

[tex] \bar X = 94.2 [/tex]

The standard deviation is given by:

[tex] s= 15.5[/tex]

And the standard error is given by:

[tex] SE = \frac{s}{\sqrt{n}} =3.1 [/tex]

And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:

[tex] z_{\alpha/2}= \pm 0.994[/tex]

We can find the interval like this:

[tex] \bar X \pm ME[/tex]

And replacing we got:

[tex] 94.2 -0.994*3.1 = 91.1186[/tex]

[tex] 94.2 +0.994*3.1 = 97.2814[/tex]

And the 68% confidence interval is given by (91.1186, 97.2814)

Answer: C. Outside the circle.

Step-by-step explanation:

To find whether point M lies on the circle, first derive the equation of the circle from the radius and center given.

Equation of a circle:

[tex](x-h)^2 + (y-k)^2=r^2[/tex]

Substitute the coordinates (0, 0) for h and k, and 2 times the square root of 3 for r:

[tex]x^2 + y^2 = 12[/tex]

Now, substitute the points (-3, 2) for x and y:

[tex]9 + 4 = 12[/tex]

This equation is incorrect, as the (x, y) coordinates produce a greater value than the radius of the circle squared. When this occurs, the point given is outside of the circle.

(A point like (1, 1), when substituted into the equation and solved to get 1 + 1 = 12, would be inside the circle, as its (x, y) coordinates produce a smaller value than the radius of the circle squared.)

As such, the correct answer is C.

Answer:

-102

Step-by-step explanation:

Answer:

1 and 4

Step-by-step explanation:

Answer:

1 : 3

Step-by-step explanation:

¼ of the biscuits are chocolate while the rest are plain.

Since a fraction is a part of a whole, 1, then it means that the fraction that are plain is:

1 - ¼ = ¾

Therefore, the ratio of chocolate biscuits to plain biscuits is:

¼ : ¾

To put this in simplest dorm, multiply both sides by 4, we have:

1 : 3

This is the ratio of chocolate biscuits to plain biscuits.

The ratio of the numbers of the chocolate biscuits to plain biscuits to its simplest form is [tex]\mathbf{1:3}[/tex]

In probability, we know that the sum of all the outcomes is usually equal to one.

Given that:

The number of biscuits that are chocolate on the plate is = 1/4

The rest of the biscuits that are plain will be = 1 - 1/4

[tex]= \mathbf{\dfrac{3}{4}}[/tex]

Now, the ratio of the numbers of the chocolate biscuits to plain biscuits to its simplest form is:

[tex]\mathbf{\dfrac{1}{4}:\dfrac{3}{4}}[/tex]

[tex]\mathbf{\dfrac{1}{4} \times \dfrac{4}{3}}[/tex]

= 1 : 3

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