I need help to find the volume

Answer:

[tex]P(A \cup B) = 0.75[/tex]

Step-by-step explanation:

There are two scenarios:

A - Rain

B - Fog.

The probability of rain or fog is determined by the Addition Rule, given that A and B are not mutually excluyent:

[tex]P(A\cup B) = P(A) + P(B) - P(A\cap B)[/tex]

[tex]P (A\cup B) = 0.75 + 0.25 - 0.25[/tex]

[tex]P(A \cup B) = 0.75[/tex]

Vertical angles are equal/congruent

4x+14=5x-5

X=19

4(19)+14= 90

Angle A= 90

Answer:

6 put of 8, 3/4, or 75%

Step-by-step explanation:

Hope this helps ! :)  good luck

Answer:

The area of a rectangle is:

\sf A=lw

Plug in what we know:

\sf x^2-7x+10=l(x-5)

Factor the left side:

\sf (x-2)(x-5)=l(x-5)

Divide (x - 5) to both sides:

\sf l=\boxed{\sf x-2}

So the length is x - 2 meters.

Step-by-step explanation:

This question is not complete because is lacks the options for each question.

Complete question

mr. whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and then compares those variations to the average annual trend. matea recorded that the water level in one part of the river fell 1.05 millimeters per year for 2.48 years. this data will be compared to the average annual trend, which shows the water level rising 1.8 mm/year.

1) Which number represents the rate at which the water level fell?

a. -1.05 mm/year

b. -1.8 mm/year

c. -2.48 years

d. -2.48 mm/year

2) Which number should the rate be multiplied by to find the total variation in water level?

a. 1.05 mm/year

b. 1.8 mm/year

c. 2.48 years

d. 2.48 mm/year

Answer:

1) Which number represents the rate at which the water level fell?

a. -1.05 mm/year

2) Which number should the rate be multiplied by to find the total variation in water level?

c. 2.48 years

Step-by-step explanation:

Total Variation in the water level is calculated by multiplying the rate at which the water level and number or years at which the rate of the water level fell

From the question, we can see that the rate at which the water level fell is -1.05 mm/year and number of years at which the water level fell is 2.48mm

Hence,Total Variation in the water level is calculated as

-1.05 mm/year × 2.48 years

Total variation in the water level = -2.604mm

Answer:

Which number represents the rate at which the water level fell?

-1.05 mm/year

Which number should the rate be multiplied by to find the total variation in water level?

2.48 years

Step-by-step explanation:

solution

W=f×d×cos theta

=25N×16m×cos 45°

=400Nm×cos 45°

=282.84J

W=f×d×cos theta

=25N×7m×cos 10°

=175Nm×cos10°

=172.34J

Total workdone=282.84J+172.34J=455.18J

Answer:

Step-by-step explanation:

Discount = % discount × cost price given.

Discounted price = cost price - discount

% discount = 30%

cost price given = $16

Discount = % discount × cost price given.

= (30/100) × $16

= $4.8

Giveaway price = $16 - $4.8

= $11.2

Answer:

Hilda would pay $ 2,736.60   less interest

Step-by-step explanation:

The total interest payment is the total repayments for 5 years less the initial loan amount

If the interest rate is 10% Hilda repays $233.72  for 5 years multiplied by 12 months:

total repayment=$233.72*5*12=$ 14,023.20  

Interest =$14,023.20-$11,000.00=$3.023.20

If the interest rate is 18% Hilda repays $279.33 for 5 years multiplied by 12 months:

total repayment=$279.33*5*12=$ 16,759.80  

Interest =$16,759.80  -$11,000.00=$5759.8

Difference in interest payments=$5759.8 0-3.023.20=$ 2,736.60  

Answer:

3

Step-by-step explanation:

It is three because 3×5 is 15 and 3×3 is 9 so the greast common factore is 3.

Answer:

Part A

The most correct option is;

b. y = 128(0.989)x + 72

Part B

Ella can drink the tea after 7:22

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

m² = (197 - 72)/128 = 125/128

m = √(125/128) = 0.98821

Hence the exponential equation of cooling is presented in the following equation;

y = 128 × (0.98821)ˣ + 72

Therefore, the most correct option is b. y = 128(0.989)x + 72

Part B

When the temperature is 172°F we have;

172 = 128 × (0.989)ˣ + 72

∴ (0.989)ˣ = (172 - 72)/128 = 100/128 = 25/32

log(0.989)ˣ = log(25/32)

x·log(0.989) = log(25/32)

x = log(25/32)/log(0.989) = 22.32 minutes

Hence Ella can drink the tea after 7:22.

Answer:

Step-by-step explanation:

The apples picked on Monday and Tuesday = 242 + 118 = 360

Apples sold on Wednesday = 360 - 109 =  521

Number of apples left = 251

Equation used: (242 + 118) - 109

Answer:

9

Step-by-step explanation:



Answer:

9 hours per night

Step-by-step explanation:

Assuming a week is 7 days

7 * 12 = 14 days

126/14=9

She slept 9 hours per night

Answer:

Three or more points that lie on the same line are collinear points .

Step-by-step explanation:

Answer: $253.50

Step-by-step explanation:

Markup = 30% of sale price

Store purchase price = (100% - 25%) × 260

Store purchase price = 75% × 260

Store purchase price = 0.75 × 260

Store purchase price = $195

Regular selling price = markup × purchase price

Markup = 30% of purchase price (100+30)%

Regular selling price :

1.30 × $195 = $253.50

Answer:

The answer to the first one is A, the answers to the second one are 750, 250, 625, and 325, respectively.

Step-by-step explanation:

5/16 = 20/x

5x = 320

x = 64

30/80 = 3/8

10/80 = 1/8

25/80 = 5/16

15/80 = 3/16

3/8*2000 = 750

1/8*2000 = 250

5/16*2000 = 625

3/16*2000 = 325

Lee sold 40 magazines

Step-by-step explanation:

Equation Model:

Let m be the number of magazines Lee sold.

150%-130%=20%, so if 0.2m=8 then m=40

Let me show another way: In the image above 20% is equal to 8 so if we use 8 and 20% and try to reach our way up to 100% (How much Lee sold in total) then we will get our answer.

20%=8

40%=16

60%=24

80%=32

100%=40

Therefore Lee sold 40 magazines.

Hope that makes sense! If you have any more questions or need further clarification then please comment down below or message me! Good luck!

Answer:

Slant height = 33 inches

Step-by-step explanation:

r = 12 inches

Lateral Surface Area of cone = 396π square inches

πrl = 396π

π * 12 * l = 396π

[tex]l=\frac{396\pi }{12*\pi }\\[/tex]

l = 33 inches

Answer:

The answer is A

Step-by-step explanation:

Answer:

The area is 128.605[tex]meters^2[/tex]

Step-by-step explanation:

The formula for the area of a triangle is :[tex]\frac{base*height}{2}[/tex]

To work this out you would first have to divide the shape into 4 smaller triangles.

Then we are going to first calculate the area of on the bottom triangles. To do this we would multiply the base of 8.5 and the height of 10.2, this gives you 86.7[tex]meters^{2}[/tex]. Although you would normally divide the answer by 2, as there are 2 identical triangles that is not necessary.

Now that we know the area of the bottom triangles we can now work out the top triangles. You can do this by multiplying the base op 8.5 by the height of 4.93, this gives you  41.905[tex]meters^2[/tex].

To work out the total area of this shape you would simply add the areas of 86.7 and 41.905, this would gives you [tex]128.605meters^2[/tex]. This is because we first broke the shape down so you could work out the area of each individual area, however to work out the total all the areas must be added up.

1) Divide the shape into 4 smaller triangles.

2) Multiply 8.5 by 10.2.

[tex]8.5*10.2=86.7meters^2[/tex]

3) Multiply 8.5 by 4.93.

[tex]8.5*4.94=41.905meters^2\\[/tex]

4) Add 86.7 and 41.905.

[tex]86.7+41.905=128.605meters^2[/tex]

Answer:

5

Step-by-step explanation:

We know that a^b^c = a^ (b*c)

1/25 ^(-2/3* 3/4)

1/25^ (-2/4)

1/25 ^ -1/2

Rewriting 1/25 as 5^-2

5^-2 ^-1/2

Again a^b^c = a^ (b*c)

5^(-2*-1/2)

5 ^ 1

5

Answer:

The sirt cost $7.5 before tax.

Step-by-step explanation:

Since the pair of slacks cost twice as much as the shirt, we have:

slacks = 2*shirt

And the total purchase was $22.5, so we have:

slacks + shirt = 22.5

We can create a system of equations such as:

slacks = 2*shirt

slacks + shirt = 22.5

If we apply the first formula on the second we can solve for the value of the shirt, we have:

2*shirt + shirt = 22.5

3*shirt = 22.5

shirt = 22.5/3 = 7.5

So the slacks cost:

slacks = 2*7.5 = 15

Using the normal distribution, it is found that 0.35% of the testers scored a perfect score.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 20.9, \sigma = 5.6[/tex]

The proportion of scores above 36(perfect scores) is given by one subtracted by the p-value of Z when X = 36, hence:

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

[tex]Z = \frac{36 - 20.9}{5.6}[/tex]

Z = 2.7

Z = 2.7 has a p-value of 0.9965.

1 - 0.9965 = 0.0035 = 0.35.%.

Hence, 0.35% of the testers scored a perfect score.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

Answer:

What was the regular price of the T-shirt?

What question is being asked in this word problem?

What is the regular price of the skirt?

How much money does Jill have left?

How much does the T-shirt normally cost?

What is the amount Jill pays in sales tax?

Step-by-step explanation:

skirt $21

t-shirt = p - $8

before sales tax, total cost was $31

$21 + p - $8 = $31

p = $18

Answer:

Area of parallelogram A = base x height = 2 x 1 = 2 (in2)

Hope this helps

:)

Answer:

Eva would have been better off selecting the 20-year term policy.

Step-by-step explanation:

Base on the scenario been described in the question, Eva would have been better off selecting the 20-year term policy. This reason is because assuming Eva bought the 20-year term policy, she wont be paying the new charge of extra 40% to her premium rate, compared to when she bought the 10-year term policy then renew the policy for another ten years.

Eva's best option would be to buy on a 20-year policy. This is better because she is able to evade the additional, 40% to her premium rate.

Premiums are percentages of the cost value charged by the insurance company for their services and benefits.

Read more on insurance premium;

https://brainly.com/question/9696972

Answer:

We equate the two expressions since they both pass through the center of the circle.

The coordinate of the center of the circle is (2,4)

Step-by-step explanation:

From circle theorem, we know that the perpendicular bisector of a chord passes through the center of the circle.

Since both equations would pass through the center of the circle, we equate them.

So, -2x+8 = 3x-2

Solving for x, we have

3x + 2x = 8 + 2

5x = 10

x = 10/5

x = 2

Substituting x = 2 into any of the equations, we find the y- coordinate of the center of the circle.

y = -2x + 8 = -2(2) + 8 = -4 + 8 = 4

So, the coordinate of the center of the circle is (2,4)

Personal Answer:

The perpendicular bisector of a chord passes through the center of the circle/plate, meaning that both expressions can contribute to the finding the center. By solving for x and y, one can find the coordinates of the center of the circle.

Plato Sample Answer:

Because the perpendicular bisector of any chord of a circle passes though the center of the circle, these two perpendicular bisectors intersect at that point. You can set up a system of equations and solve to find the coordinates of the center.

I hope this helps!

Answer:

It would be 30

Step-by-step explanation:

6*5=30

Answer:

y = 1/3x - 3

Step-by-step explanation:

Subtract 2x on both sides

6y = 2x - 18

Isolate y by dividing 6 on both sides

y = 2/6x - 3

Simplify.

y = 1/3x - 3

Hope this helps!

Answer: i believe its like with fractions if you have to cross the line to add or subtract it means that

Step-by-step explanation:

are you working with fractions