Geometry question building block?

Answer:

55years

Explanation:

According to the given expression

FV = P +Prt

P is the initial deposit = $1000

FV is the future value = 4(1000) = $4000

r is the rate = 5.5% = 0.055

Required

Time t

Substitute the given values into the expression as shown;

FV = P +Prt

4000 = 1000 + 1000(0.055)t

4000 - 1000 = 55t

3000 = 55t

Swap

55t = 3000

t = 3000/55

t = 54.5years

t = 55years

This means it will take the deposit of $1000 55years to quadruple

So, if 3 points were added to every score in the population, the new mean would be the old mean plus 3, and the new standard deviation would be the same as the old standard deviation.

Given,

3 points were added to every score in the population,

Adding a constant value to every score in a population will not change the standard deviation of the population, only the mean will change.

If we add 3 to every score in the population, the new mean will be the old mean plus 3. Let's say the old mean is μ and the old standard deviation is σ. Then the new mean will be μ + 3, and the new standard deviation will still be σ.

So, if 3 points were added to every score in the population, the new mean would be the old mean plus 3, and the new standard deviation would be the same as the old standard deviation.

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Answer:

B

Step-by-step explanation:

Hi,

2πr is the formula for circumference, you know your diameter is 4cm and radius is half of the diameter, so your radius is 2cm.

To find the circumference, you have to multiply 2 by 2 and pie. 2 x 2 is 4. So 4 times pie. B is your correct answer.

I hope this helps :)

Answer:

the equation is : x²-x-12

Step-by-step explanation:

the quadratic equation is in the form of : y=ax²+bx+c

the product of the zeros is -12 and the sum is 1

b  = - 1

c=-12 (product)

y=x²-x-12

check : factorize first (x+3)(x-4)=0

either x+3=0 then x=-3

or x-4=0 then x=4

-3*4=-12

-3+4=1

the equation is : x²-x-12

Answer:

n = 7

Step-by-step explanation:

n+ 4 = 11       subtract 4 from both sides of the equation

n + 4 -4 = 11-4

n = 7

Hey there!

n + 4 = 11

SUBTRACT 4 to BOTH SIDES

n + 4 - 4 = 11 - 4

CANCEL out: 4 - 4 because it give you 0

KEEP: 11 - 4 because it help solve for the n-value

NEW EQUATION: n = 11 - 4

SIMPLIFY IT!
n = 7

Therefore, your answer is: n = 7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The distance from the bird to the top of the tree is 61.95 feet.

We have,

Angle of elevation to the top of the tree: 38 degrees.

Angle of elevation to the bird: 60 degrees.

Distance from the base of the tree to your position: 84 feet.

Let the distance from the bird to the top of the tree as 'x'.

Using Trigonometry

tan(38) = height of the tree / 84

height of the tree = tan(38) x 84

and, tan(60) = height of the tree / x

x = height of the tree / tan(60)

Substituting the value of the height of the tree we obtained earlier:

x = (tan(38) x 84) / tan(60)

x ≈ 61.95 feet

Therefore, the distance from the bird to the top of the tree is 61.95 feet.

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Answer:

16910

Step-by-step explanation:

BIDMAS
1402 x 12 = 16824 +100 = 16924
16924-14 = 16910

The yards of ribbon purchased by Susan using amount on the debit card is equal to 32 yards.

Amount on prepaid debit card  = $20

Price of the ribbon  = 16 cents per yard

Amount left on the card after purchasing ribbon = $14.88  

Amount used to purchase ribbon

= Amount on initial amount debit card  - Amount left after purchasing ribbon

= $20.00 - $14.88 =$5.12

So Susan spent $5.12 on the ribbon.

Now ,use the price per yard to figure out how many yards she bought,

= Amount spent to buy ribbon / price of the ribbon per yard

= $5.12 ÷ $0.16 per yard

= 32 yards

Therefore, Susan bought 32 yards of ribbon with her prepaid debit card.

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The cost of making the chest with these dimensions is approximately $3.83.

Let's start by finding an expression for the cost of making the chest in terms of its dimensions. The cost of the oak top and sides is given by:

cost of oak = 2lw + 2lh

where l is the length and w is the width of the chest, and h is the height (which we don't know yet). The cost of the pine bottom is given by:

cost of pine = lw

The total cost of making the chest is the sum of these two costs:

total cost = cost of oak + cost of pine

= 2lw + 2lh + lw

We want to minimize this cost subject to the constraint that the volume of the chest is 0.25 cubic metres. The volume of a rectangular box is given by:

volume = length × width × height

= lwh

Since the volume is given as 0.25 cubic metres, we have:

lwh = 0.25

We also know that the length is twice the width, so we can write:

l = 2w

Substituting this into the expression for volume, we get:

\(2w^{2h} = 0.25\)

Solving for h, we get:

\(h = 0.125/w^2\)

Substituting this expression for h into the expression for the total cost, we get:

total cost = \(2lw + 2(0.125/w^2)w + lw\)

= 2lw + 0.25/w

To minimize this cost, we can take the derivative with respect to w and set it equal to zero:

d(total cost)/dw =\(2l - 0.25/w^2 = 0\)

Solving for w, we get:

w = \(\sqrt{0.125/l)}\)

Substituting this value for w back into the expression for h, we get:

h = \(0.125/w^2 = 8l\)

Therefore, the dimensions that will minimize the cost of making the chest are:

length = 2w = \(2\sqrt{(0.125/l)}\)

width = w =\(\sqrt{0.125/l)}\)

height = h = 8

To find the cost of making the chest, we can substitute these values into the expression for the total cost:

total cost = 2lw + 0.25/w

= \(2\sqrt{(0.125/l} ) \times \sqrt{0.125/l)} \times 2 + 0.25/\sqrt{(0.125/l)}\)

= 4 × 0.125 + 0.25 × sqrt(l/0.125)

= 0.5 + 2\(\sqrt{2\) ≈ 3.83

Therefore, the cost of making the chest with these dimensions is approximately $3.83.

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The angle between vectors u and v is approximately 60°.

To find the angle between vectors u = (0, 0, 0, 1) and v = (2, 2, 2, 2),we can use the formula based on the dot product and magnitudes: (u • v) = |u| |v| cosθ.
therefore, cos(θ) = (u • v) / (|u| |v|)

First, calculate the dot product (u • v):
u • v = (0 * 2) + (0 * 2) + (0 * 2) + (1 * 2) = 2

Next, find the magnitudes of both vectors:
|u| = √(0² + 0² + 0² + 1²) = √1 = 1
|v| = √(2² + 2² + 2² + 2²) = √16 = 4

Now, use the formula:
cos(θ) = (u • v) / (|u| |v|) = (2) / (1 * 4) = 1/2

Finally, find the angle by taking the inverse cosine (arccos):
θ = arccos(1/2) ≈ 60 degrees

So, the angle between vectors u and v is approximately 60 degrees.

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Answer:

9. 1:53

10. 4:17

11. 2:52

12. 3:35

This should be it have a great day buddy!

The product of (3 x 107) and (2 x 107) is 6.8694 x 10^4

To find the product of (3 x 107)and (2 x 107), we can use the distributive property of multiplication which states that the product of a number and a sum is equal to the sum of the products of the number and each term in the sum. In this case, we can multiply the numbers outside the parentheses first, and then multiply the result by the common factor of 107 to simplify the expression:

(3 x 107) x (2 x 107) = 6 x (107 x 107)

Next, we can calculate the product of 107 and 107, which is 11,449:

6 x 11,449 = 68,694

In scientific notation, this can be written as:

= 6.8694 x 10^4

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Answer:

A) 20%

Step-by-step explanation:

The total votes are:

40 + 70 + 60 + 90 = 260

Rebecca has the highest percent of votes which is 90 votes. To find the %:

90/260 ≈ 34.62%

Amy has the lowest percent of votes which is 40 votes.

40/260 ≈ 15.38%

Finding the difference:

34.62 - 15.38

19.24

So, it's around 20%

Let assume the age of sonali be x

\(\boxed{\sf \: \large\bf{\red{ \implies}} \: \Large\rm{\purple{ 3x + 5 = 44}}}\)

Now , Solving this linear equation.

\( \begin{cases}\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x + 5 = 44}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \: 44 \: - \: 5}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \:39 }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{39}{3} }} \\ \\ \large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{ \cancel{39}\rm \tiny{\red{ \: \: \small^{13} }}}{ \cancel{3}} }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: 13 }}\end{cases}\)

Hence , the age of sonali is 13 years.

Answer:

Sonali is 13 years old.

BRAINLIEST, PLEASE!

Step-by-step explanation:

Assigning variables:

s = Sonali, f = father

Setting up an equation:

f = 5 + 3s

Solving with substitution:

(44) = 5 + 3s

39 = 3s

s = 13

Checking the work:

44 = 5 + 3(13)

44 = 5 + 39

44 = 44

Answer:21

Step-by-step explanation:

Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression

The length of the movie screen at the local cinema is 37188552  feet.

Let's assume the width of the rectangle movie screen is represented by 'w' feet. According to the given information, the length of the screen is 303030 feet longer than the width. Therefore, the length can be expressed as 'w + 303030' feet.

The perimeter of a rectangle is given by the formula: 2(length + width). In this case, the perimeter of the movie screen is 148148148 feet. We can set up the equation as follows:

2(w + (w + 303030)) = 148148148.

Simplifying the equation, we have:

2(2w + 303030) = 148148148.

4w + 606060 = 148148148.

4w = 147542088.

Dividing both sides by 4, we get:

w = 36885522.

Therefore, the width of the screen is 36885522 feet. Since the length is 303030 feet longer than the width, we can calculate the length as:

Length = Width + 303030 = 36885522 + 303030 = 37188552 feet.

Hence, the length of the movie screen is 37188552  feet.

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Answer:

n = 7

Step-by-step explanation:

Your answers are correct.

For problem 3, we use error estimation:

| (-2)ⁿ⁺¹ / (n+1)! | < 0.01

(2)ⁿ⁺¹ / (n+1)! < 0.01

By trial and error:

If n = 3, (2)ⁿ⁺¹ / (n+1)! = 0.667

If n = 5, (2)ⁿ⁺¹ / (n+1)! = 0.089

If n = 7, (2)ⁿ⁺¹ / (n+1)! = 0.006

Answer:

Step-by-step explanation:

no

Answer:

30 books

Step-by-step explanation:

One book each month is 20 books, so added to the 10 he's already read is 30.

Answer:

$29.75

Step-by-step explanation:

If Lukas paid for the shoes with $50, and got $17.30 back, the total price of the shoes with the tax was $32.70. Because we are trying to find the price of the shoes without the 9% tax, we calculate what 91% of 32.70 is, which is $29.757

9514 1404 393

Answer:

  70.9°

Step-by-step explanation:

The relationships between trig functions and sides of a right triangle are summarized in the mnemonic SOH CAH TOA. In this triangle, you have the side Adjacent to the angle  (48), and the side Opposite to the angle (139). The mnemonic reminds you that an appropriate trig function for the angle is ...

  Tan = Opposite/Adjacent

  tan(?) = 139/48

Then the angle can be found using the inverse tangent function:

  ? = arctan(139/48) ≈ 70.9°

The angle measure is about 70.9°.

__

We can't tell if you're required to round your answer to fewer decimal places.

The trend line for the y = 0.5x + 2 is attached accordingly. Note that the the predicted gas price for month 13 would be $8.50.

a. To draw a trend line on a scatter plot, you need to perform a linear regression analysis. This involves finding the line of best fit that passes through the data points. The equation for a linear regression line is typically of the form y = mx + b, where y is the dependent variable (gas price in this case), x is the independent variable (month), m is the slope of the line, and b is the y-intercept.

Once you have the equation for the line of best fit, you can plot it on the scatter plot to visualize the trend. The slope of the line will tell you the direction and steepness of the trend (i.e., whether prices are increasing or decreasing, and how quickly).

b. To predict future values using the trend line, you can simply plug in the value of the independent variable (month) for the month you want to predict, and solve for the dependent variable (gas price). For example, if the equation for the trend line is y = 0.5x + 2, and you want to predict the gas price for month 13, you would plug in x = 13 and solve for y:

y = 0.5(13) + 2

y = 6.5 + 2

y = 8.5

So the predicted gas price for month 13 would be $8.50.

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Answer:

water based

Step-by-step explanation:

trust

Answer:

6045

Step-by-step explanation:

nope it's 93x65= 6045

Answer:

6045

Step-by-step explanation:

The percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is  28.87%.

Given that the carrying capacity is directly proportional to the area, we can write:

C1 ∝ A1 = πr₁²

Since the carrying capacity is directly proportional to the area, we have:

C2 ∝ A2 = πr₂²

To find the percentage increase in diameter, we need to find the ratio of the increased area to the initial area and then express it as a percentage. Let's calculate this ratio:

(A2 - A1) / A1 = (πr₂² - πr₁²) / (πr₁²) = (r₂² - r₁²) / r₁²

We can also express the ratio of the increased carrying capacity to the initial carrying capacity:

(C2 - C1) / C1 = (60 - 36) / 36 = 24 / 36 = 2 / 3

Since the area and the carrying capacity are directly proportional, the ratios should be equal:

(r₂² - r₁²) / r₁² = 2 / 3

Now, let's substitute r = D/2 in the equation:

((D₂/2)² - (D₁/2)²) / (D₁/2)² = 2 / 3

(D₂² - D₁²) / D₁² = 2 / 3

Cross-multiplying:

3(D₂² - D₁²) = 2D₁²

3D₂² - 3D₁² = 2D₁²

3D₂² = 5D₁²

Dividing by D₁²:

3(D₂² / D₁²) = 5

(D₂² / D₁²) = 5 / 3

Taking the square root of both sides:

D₂ / D₁ = √(5/3)

To find the percentage increase in diameter, we subtract 1 from the ratio and express it as a percentage:

Percentage increase = (D₂ / D₁ - 1) × 100

Percentage increase = (√(5/3) - 1) × 100

Percentage increase = 28.87%

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Answer:

I believe the answer is A

Step-by-step explanation: