Define surface area and volume. List an example of a situation where you would find surface area and a situation where you would find volume.

Answer:

2/15 =  13 1/3 %

Step-by-step explanation:

eight yellow marbles, nine green marbles, three purple marbles, and five red marbles = 25

P(yellow) =  yellow/ total =8/25

Keep

7 yellow marbles, nine green marbles, three purple marbles, and five red marbles = 24

P(red) = red/total =5/24

P(yellow then red) = 8/25 * 5/24 = 1/15

Then we have (red, yellow) =

P(red) = red/ total =5/25 = 1/5

Keep

8 yellow marbles, nine green marbles, three purple marbles, and four red marbles = 24

P(yellow) = yellow/total =8/24 = 1/3

P(red, yellow) = 1/5*1/3 = 1/15

Add them together

1/15 + 1/15 = 2/15 =

Answer:

D. Yes, because the amount of money on her gift card should decrease each week.

Step-by-step explanation:

The amount of money on the gift card decreases every Friday as it states in the problem.

Yes Kate's graph represent the situation, because the amount of money on her gift card should decrease each week. so option D is correct.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

We can see that the graph shows that the slope is decreasing, if you got $75 and spend $5.00 each Friday, wouldn't that be  decrease and Lastly, of course, they should not start at the origin as they started at $75.00.

The amount of money on the gift card decreases every Friday as it states in the given situation.

Learn more about finding the graphed function here:

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Answer:

A

Step-by-step explanation:

Quadratic equation

Answer:

1.17B

Step-by-step explanation:

Katie and her friends will pay 17% of the bill, B.

Therefore, we have to add 17% of B to B to find how much they will pay:

17/100 * B = 0.17B

Therefore, the total bill will be:

Bill + tip

= B + 0.17B = 1.17B

The expression that represents the total bill they will pay is 1.17B

Answer:

Since the full percentage of something is 100% thats because 1*100 = 100.

So since it has 40% chance of rain what would 100-40 be? Well it would be 60. So the probability that it will not rain is

Answer:

[tex]=24a^2[/tex]

Step-by-step explanation:

[tex]4a\cdot \:6a=24a^2\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:6=24\\=24aa\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\aa=\:a^{1+1}\\=24a^{1+1}\\=24a^2[/tex]

Answer:

Simply multiply across.

since they both have the same base(a),add the powers ie.(1+1)=2.

Hence 4a×6a=24a²

Answer: The answers are in the steps hope it helps.

Step-by-step explanation:

First solve or the equation and let it be in slope intercept form

y + 2 = 1/2( x + 2)   apply the distributive property first

y + 2= 1/2x + 1

    -2               -2

y= 1/2x -1      is not in slope intercept form so you could put  in any number for x and five y.

This are the points you could plot then draw a straight line between them.

x        y

0        -1

2         0

4          1

6          2

8           3

10          4

-2          -2

-4            -3

-6            -4

-8             -5

-10             -6

Answer:

1/4

Step-by-step explanation:

Answer:

[tex] \boxed{\frac{1}{4} } [/tex]

Step-by-step explanation:

[tex]{2}^{ - 2} = \frac{1}{ {2}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: = \frac{1}{4} [/tex]

[tex] Negative \: exponent \\ \\ = > {a}^{-x} = \frac{1}{{a}^{x}} [/tex]

Answer:

x ≈ 17.67 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 16² + 7.5² = 256 + 56.25 = 312.25 ( take the square root of both sides )

x = [tex]\sqrt{312.25}[/tex] ≈ 17.67 ( to 2 dec. places )

The measure of hypotenuse length x would be 17.67 cm

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|² = |AB|² + |BC|²  

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Using the Pythagoras' identity in the right angled triangle.

hypotenuse²  = perpendicular²  + base²

x² = 16² + 7.5²

x²= 256 + 56.25

x²= 312.25

Now take the square root of both sides

x = √312.25

x =  ≈ 17.67 ( to 2 dec. places )

Therefore, the measure of hypotenuse length x would be 17.67 cm

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Answer:

The answer is "70°"

Step-by-step explanation:

In the given question an attachment file is missing. so, the attachment file and its solution can be defined as follows:  

Given:

ABC is the right triangle.

Find B=?

Solution:

[tex]\Rightarrow \sin \theta= \frac{p}{h}\\\\[/tex]

[tex]\Rightarrow \sin B^{\circ}=\frac{AB}{AC}= \frac{4.8}{5.1}\\\\[/tex]

[tex]\Rightarrow \sin B^{\circ}= .941[/tex]

[tex]\Rightarrow B^{\circ}= \sin^{-1} (0.941)\\\\\bold{\sin^{-1} (0.941) = 70.2^{\circ}}\\\\\therefore \ \ \ \ \bold{B^{\circ} = 70^{\circ}}[/tex]

Answer:

70

Step-by-step explanation:

Hi! I'm here to help. So what you're gonna wanna do is do 6 divided by 2.

6 / 2 = 3

Have a good day/night!

Answer:

[tex]2/6=1/3[/tex]

Step-by-step explanation:

f(x) = (x+2)(2-1)

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

= 2x-x + 4-2

= 2x - x + 2

Answer:

w=-16

Step-by-step explanation:

divide -192 by 12 to isolate w

Answer:

w=-16

Step-by-step explanation:

Answer:

18.2%

Step-by-step explanation:

The total number of trees in the wood = 420 + 160 + 300

                                                                = 880 trees

∴ The percentage of the oak trees = [tex]\frac{160}{880} * \frac{100}{1}[/tex]

                                                            = [tex]\frac{2 * 100}{11}[/tex]%

                                                            = [tex]\frac{200}{11}[/tex]%

                                                            = 18.181818...%

In 1 decimal place = 18.2%

Hope this helps!!

Answer:

20%

Step-by-step explanation:

6/30 = blank/100

cross multiply

6 x 100

600/30 =20

their gd7v7gvugvrty

Step-by-step explanation:

7yvtc

Answer:

x = 33

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

x+114+33 = 180

Combine like terms

x+147 = 180

Subtract 147 from each side

x+147-157 = 180-147

x = 33

Answer:

x=33

Step-by-step explanation:

The interior angles of a triangle must add up to 180 degrees. Therefore, the 3 angles inside the triangle should add to 180.

x+114+33=180

Combine like terms by adding 114 and 33

x+147=180

In order to solve this equation, we must get x isolated. Perform the inverse operation to both sides.

x+147=180

147 is being added on to x. The inverse of addition is subtraction. Subtract 147 from both sides.

x+147-147=180-147

X=180-147

x=33

x is equal to 33 degrees.

Answer:

Step-by-step explanation:

[tex]\sqrt{x} Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\\sqrt{(5-3)^{2}+(6-k)^{2}}=2\sqrt{2}\\\\\sqrt{(2)^{2}+[(6)^{2}-(2*6*k)+(k)^{2}]}=2\sqrt{2}\\\\\sqrt{4+[36-12k+k^{2}]}=2\sqrt{2}\\\\\sqrt{40-12k+k^{2}}=2\sqrt{2}\\[/tex]

Take square both side

[tex]40-12k+k^{2}=(2\sqrt{2})^{2}\\\\40-12k+k^{2}=4*2\\\\40-12k+k^{2}=8\\\\k^{2}-12k+40-8=0\\\\k^{2}-12k+32=0\\[/tex]

Factorize,

Sum = -12

Product = 32

Factors = -8 , -4

k² - 8k - 4k + (-8)*(-4) = 0

k(k - 8) - 4(k - 8) = 0

(k - 8)(k - 4) = 0

k = 8 or 4

The points are (3,k) and (5,6).

Given, distance = 2√2 units

Applying distance formula,

Distance = √(x2-x1)^2 + (y2-y1)^2

2√2 = √(x2-x1)^2 + (y2-y1)^2

Squaring both sides,

(2√2)^2 = [√(x2-x1)^2 + (y2-y1)^2]^2

8 = (x2-x1)^2 + (y2-y1)^2

8 = (5-3)^2 + (6-k)^2

8 = 2^2 + (6^2 - 2x6xk + k^2)

8 = 4 + 36 - 12k + k^2

8 = 40 - 12k + k^2

= k^2 - 12k + 32 = 0

On factorising,

=> k^2 - 4k - 8k + 32 = 0

=> k(k-4) -8(k-4) = 0

=> (k-4)(k-8) = 0

=> k-4 = 0 , k-8 = 0

=> k = 4 , k = 8

Answer:

The value of 9f(3) is 1683.

Step-by-step explanation:

This is a compound function, so let's call it [tex]g[/tex], where it is equal to:

[tex]g = 9*f(3)[/tex]

To solve it, we need to find [tex]f(3)[/tex] and apply it on the expression above, this is done below:

[tex]f(3) = 4*(3)^3 + 8*(3)^2 - 2*3 + 13\\f(3) = 4*27 + 8*9 - 6 + 13\\f(3) = 108 + 72 + 7\\f(3) = 187\\[/tex]

Applying it on [tex]g[/tex] we have:

[tex]g = 9*187 =1683[/tex]

Answer:

1,863

Step-by-step explanation:

First thing to do here is to substitute 3 for the value of x

f(3) =4)3)^3 + 8(3)^2 -2(3) + 13

= 4(27) + 8(9) -6 + 13

= 108 + 72 + 7 = 207

we now multiply this result by 9

= 9 * 207 = 1,863

( x - 12 ) ( x + 6 ) = 0

x - 12 = 0 and x + 6 = 0

x = 12 and x = -6

Answer:

[tex]x=12,\:x=-6[/tex] are your x intercepts

Step-by-step explanation:

[tex]\left(x-12\right)\left(x+6\right)=0\\\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\mathrm{Solve\:}\:x-12=0:\quad x=12\\x-12=0\\\mathrm{Add\:}12\mathrm{\:to\:both\:sides}\\x-12+12=0+12\\Simplify\\x=12\\\mathrm{Solve\:}\:x+6=0:\quad x=-6\\x+6=0\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\x+6-6=0-6\\Simplify\\x=-6\\The\:solutions\:to\:the\:quadratic\:equation\:are:\\x=12,\:x=-6[/tex]

Answer:

256

Step-by-step explanation:

To calculate the mean, we simply divide the sum of the values by the count.

For the first set, the mean is as follows;

(9 + 5 + 2 + y + x)/5 = (x + y + 16)/5

For the second set;

(8 + x + 4 + 1 + 3)/5 = (16 + x)/5

Since both are divided by 5, we can eliminate it

Mean of first set is twice the second

This means that;

x + y + 16 = 2(16 + x)

x + y + 16 = 32 + 2x

y = 32-16+2x-x

y = 16 + x

Now we want to calculate

(y-x)^2

substitute the value of y here

(16+x-x)^2

= 16^2 = 256

Answer:

Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If |Z| > 2, the measure X is significent.

In this question:

[tex]|X - \mu = 1.74|, \sigma = 0.69[/tex]

So

[tex]Z = \frac{1.74}{0.69} = 2.52[/tex]

Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.

Answer: x= -3 + 2[tex]\sqrt{2\\}[/tex] or -3 -2 [tex]\sqrt{2}[/tex]

Step-by-step explanation:

First you want to get the quadratic formula

in this case a=1 b=6 and c=1

plug it in and solve the equations

(sorry don't know how to put in equations here)

Answer:

Answer: x= -3 + 2\sqrt{2\\} or -3 -2 \sqrt{2}

Step-by-step explanation:

First you want to get the quadratic formula

in this case a=1 b=6 and c=1

plug it in and solve the equations

Answer:

-288

Step-by-step explanation:

math

Answer:

4031.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Notice that the pair of angles are inside parallels, and at different sides of the transversal. So, those angles are alternate interior angles by definition, which means they are congruent.

Therefore, the right answer is B.

Step-by-step explanation:

[tex]10x^2+2x-8\\2(5x^2+x-4)\\2(5x-4)(x+1)[/tex]

Answer:

[tex]2(5x-4)(x+1)[/tex]

You can check the answer by re-distributing the 2 and using the foil method :)

Answer:

a

Step-by-step explanation:

r = 2.5 cm

V=  3.14[tex](2.5 cm)^{2}[/tex](9 cm)/3 = [tex]59 cm^{3}[/tex]

Answer:

a

Step-by-step explanation:

Answer:

i would think C

Step-by-step explanation: