CAN SOMEONE HELP WITH THIS QUESTION?

Solution

Part a

The axis of symmetry

Part b

The vertex

Vertex (2,3)

Part c

The graph opens downward

Part D

The y-intercept is the point where a graph crosses the y-axis. In other words, it is the value of y when x=0.

The y-intercept

Another

The y-intercept is the point where a graph crosses the y-axis. In other words, it is the value of y when x=0.

x=0 y=-5

The total number of fish in the lake would be = 60 fishes

The total of a data set is the addition of the various components that makes up a data set which gives a particular value.

On the first day the number of fish that was marked by the fisher man = 50 fishes.

On the second day the total amount of fishes that was caught = 80 fishes

The number of fishes that where among the 80 fishes that are marked= 20

Therefore the total amount of fishes in the lake = 80 - 20

= 60 fishes.

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The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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The domain is:

D: {-4, 5, 6, 8}

The range is:

R: {-4, 3, 5}

And yes, the relation is a function.

For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).

Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}

The domain is the set of the first values of each pair, so we have:

D: {-4, 5, 6, 8}

The range is the set of the second values of each pair:

R: {-4, 3, 5}

Now, is this a function?

Yes, it is a function, because each input is mapped into only one output.

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Answer:

4 hours

Step-by-step explanation:

6 × 2 = 12

12 ÷ 3 = 4

4 hours is the correct answer

Glad I could help:)

Answer:

C and E

Step-by-step explanation:

To solve this problem, let's plug in each coordinates into the equation.

A:

B:

C:

D:

E:

The maximum price you can offer for a home is approximately $82,352.94 for a 17% down payment.

To determine the maximum price you can offer for a home, you need to calculate 17% of the total price, which will be your down payment of $14,000.

Let's assume the maximum price you can offer for the home is P dollars.

According to the given information, the down payment requirement is 17% of the total price. So, we can set up the following equation:

\(0.17P = $14,000\)

To solve for P, divide both sides of the equation by 0.17:

P = $14,000 / 0.17

Calculating this expression, we find:

P ≈ $82,352.94

Therefore, the maximum price you can offer for a home in order to have enough money for the 17% down payment is approximately $82,352.94.

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Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

The measure of the angle ∠A obtained from the congruency between the triangles ΔABC and ΔA'B'C', (formed by the rotation of ΔABC, which is a rigid transformation) is 40°

A rotation transformation is a rigid transformation of a pre-image by turning the pre-image about a fixed point or axis.

A rotation transformation is a rigid transformation and therefore, the distances between corresponding pairs of points is maintained such that the lengths of the corresponding sides of the pre-image and the image are congruent, therefore, the triangle ΔABC and the triangle ΔA'B'C' are congruent.

The angle ∠A in triangle ΔABC = 40°

The angle ∠C' in triangle ΔA'B'C' = 105°

Angle ∠A ≅ Angle ∠A' by Corresponding Angles of Congruent Triangles are Congruent, CACTC.

Therefore, ∠A = ∠A' (definition of congruency)

∠A' = ∠A = 40° (symmetric property)

The measure of angle ∠A = 40°

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9514 1404 393

Answer:

  A: A has $496.88 more

Step-by-step explanation:

A graphing calculator works this problem nicely.

The balance in the simple interest account after t years is ...

  A = 1000(1 + 0.08t)

The balance in the compound interest account after t years is ...

  B = 800(1 +0.05)^t

The larger starting balance and the higher interest rate keep the A account balance higher than the B account balance for more than 29 years. Then, the effect of interest compounding takes over. Until then, account A has more money in it. The calculator shows Account A has $496.88 more after 10 years.

Answer:

where x1=-3.71 and x2=1.21

Step-by-step explanation:

first= 2x+5x-9=0, a=2,b=5,c=-9, x=

\( \sqrt{ {5 }^{2} } - 4 \times 2( - 9) \: over4\)

second x=

\( \sqrt[ - 5 + ]{25 + 72} over4\)

x=

\( \sqrt[ - 5 +4 ]{97} \)

\( \sqrt[ - 5 - 4]{97} \)

Answer:

Answer by Yi Jing

Step-by-step explanation:

Answer: 2xy • (4x - 5y)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 ((8 • (x2)) • y) -  (2•5xy2)

STEP 2:

Equation at the end of step 2:

 (23x2 • y) -  (2•5xy2)

STEP 3:

STEP 4:

Pulling out like terms

4.1     Pull out like factors :

  8x2y - 10xy2  =   2xy • (4x - 5y)

Final result :

 2xy • (4x - 5y)

The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²

Side length, x = 1,3,4,5,8

Shaded Area, y = 0.5, 4.5, 8, 12.5, 32

The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c

a = 0.5 ; b = 0 ; c = 0

Therefore, the quadratic function can be written as y = 0.5x²

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Answer: 4/6 = 2/32/3 = 2/3

Step-by-step explanation: hope this help

Answer:

Step-by-step explanation: slope is (9-(-3))/(25-5)

12/20=0.6

point slope formula y-y1=m(x-x1), m slope (x1, y1) point

y-9=0.6(x-25)

y=0.6x-15+9

y=0.6x-6, x months and y profit.

for 60 months, y=0.6*60-6 or 36-6=$30000 profit

Answer:

Step-by-step explanation:

(-4*5 - 1) + (-4)

(-20 - 1) - 4

-21 - 4

-25

Answer:

\(\begin{aligned}SA &= 7.125\pi \text{ in}^2\\& \approx 22.4 \text{ in}^2 \end{aligned}\)

Step-by-step explanation:

We can find the Surface Area of the can by adding the areas of each of its parts:

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

First, we can calculate the area of the circular base:

\(A_{\text{circle}} = \pi r^2\)

\(A_{\text{base}} = \pi (0.75 \text{ in})^2\)

\(A_{\text{base}} = 0.5625\pi \text{ in}^2\)

Next, we can calculate the area of the rectangular side:

\(A_\text{rect} = l \cdot w\)

\(A_\text{side} = (4\text{ in}) \cdot C_\text{base}\)

Since the width of the side is the circumference of the base, we need to calculate that first.

\(C_\text{circle} = 2 \pi r\)

\(C_\text{base} = 2 \pi (0.75 \text{ in})\)

\(C_\text{base} = 1.5 \pi \text{ in}\)

Now, we can plug that back into the equation for the area of the side:

\(A_\text{side} = (4\text{ in}) (1.5\pi \text{ in})\)

\(A_\text{side} = 6\pi \text{ in}^2\)

Finally, we can solve for the surface area of the can by adding the area of each of its parts.

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

\(SA = 2(0.5625\pi \text{ in}^2) + 6\pi \text{ in}^2\)

\(\boxed{SA = 7.125\pi \text{ in}^2}\)

\(\boxed{SA \approx 22.4 \text{ in}^2}\)

Answer:

d

Step-by-step explanation:

Answer:

D B ?? i think this is correct

Step-by-step explanation:

The simplified form of the given expression as required in the task content is; 8.

It follows from the task content that the simplified form of the given expression; -4 ( 2 - (³√8 × 6) ) / 5 is to be determined.

Therefore, By solving the innermost parentheses; we have;

-4 ( 2 - (2 × 6) ) / 5

= -4 ( 2 - 12 ) / 5

= -4 ( -10 ) / 5

= 40 / 5

= 8.

Therefore, the simplified form of the expression is; 8.

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Answer:

a. n^2-2n+1/n squared

b. 9 green counters

Step-by-step explanation:

just as you role 3 dices and the chances are MULTIPLIED, the same goes for this problem.

n-1/n times n-1/n would create the probability of getting 2 green counters randomly from the bag's possibility.

n-1/n times n-1/n can be said as (n-1) squared or in simple terms:

n^2 -2n+1 or in words, n squared -2n +1.

divided by n squared is the fraction probability in simplest form:

n^2-2n+1/n squared

the next question is actually much easier:

0.9 is 90% in percentages, this can be detrimental to your grade if your teachers asked you for the decimal, not percentage of it.

for 1 every yellow counter, there is 9 green counters. so in the bag, there is one yellow counter meaning there are 9 green counters in the bag (after finishing the first question)

Part (a)

----------------

Explanation:

There are n-1 green counters to start out of n counters total.

The probability of selecting a green counter is (n-1)/n

The probability of selecting a second green counter is (n-2)/(n-1) since we're not putting the first counter back.

Multiplying the two fractions leads to (n-2)/n

Note how the (n-1) terms cancel.

===============================================================

Part (b)

----------------

Explanation:

We set the result of part (a) equal to 0.9 and solve for n

(n-2)/n = 0.9

(n-2)/n = 9/10

10(n-2) = 9n ... cross multiply

10n-20 = 9n

10n-9n = 20

n = 20

We have 20 counters in the bag. One counter is yellow and the remaining n-1 = 20-1 = 19 are green.

The probability of getting one green counter is 19/20

The probability of a second green counter is 18/19

The probability of two green counters is (19/20)*(18/19) = 18/20 = 9/10 = 0.9

This helps confirm the answer.

Answer:

a. 0.95, 1.25, 1.9

b. 0.95

Step-by-step explanation:

Just regular division.

Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.

Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:

Total economic cost:

Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144

Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131

Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135

Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).

Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.  

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If the random variable X is normally distributed with mean = 82 and standard deviation = 5 , then P(X<80) = 0.3446 .

The z score of a normal distribution can be calculated using the formula

z=(x-μ)/σ .

The given question is normally distributed ,

with the mean(μ) = 82

and the standard deviation(σ) = 5 .

the probability

P(X<80) can be calculated using

P(X<80)= P((x-μ)/σ  < (80-82)/5)

= P(z < -0.4)

Using the z-score table we get

= 0.3446

Therefore , if the random variable X is normally distributed with mean = 82 and standard deviation = 5 , then P(X<80) = 0.3446 .

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Since AB is parallel to CD, we have alternate interior angles forming when transversal CE intersects the parallel lines. Therefore,

mZDCE = mZECB (Alternate Interior Angles)

(7x + 2) = (x + 8) (Substitute in the given angle measures)

Solving for x, we get:

7x + 2 = x + 8

6x = 6

x = 1

Now, we can use x to find the measure of angle ZDCE:

mZDCE = (7x + 2)

= (7*1 + 2)

= 9

Therefore, the measure of angle ZDCE is 9 degrees.

The given limit is 0.

To solve the given limit, we can recognize the sum as a Riemann sum and convert it into an integral.

The given sum can be rewritten as:

\(\lim_{n \to \infty} \sum_{i=1}^{n} \frac{3}{n} \sqrt{1+\frac{3i}{n}}\)

Let's rewrite it in terms of integration:

\(\lim_{n \to \infty} \frac{3}{n} \sum_{i=1}^{n} \sqrt{1+\frac{3i}{n}}\)

Since we are taking the limit as n approaches infinity, we can approximate the sum as an integral.

The integral that corresponds to the given sum is:

\(\lim_{n \to \infty} \frac{3}{n} \sum_{i=1}^{n} \sqrt{1+\frac{3i}{n}} \approx \lim_{n \to \infty} \frac{3}{n} \int_{0}^{1} \sqrt{1+3x} ,dx\)

To solve this integral, we can use a change of variables.

Let u = 1 + 3x, then du = 3dx.

The integral becomes:

\(\lim_{n \to \infty} \frac{3}{n} \int_{0}^{1} \sqrt{1+3x} ,dx = \lim_{n \to \infty} \frac{1}{n} \int_{1}^{4} \sqrt{u} ,du\)

Integrating \(\sqrt{u}\), we get,

\(\lim_{n \to \infty} \frac{1}{n} \int_{1}^{4} \sqrt{u} ,du = \lim_{n \to \infty} \frac{1}{n} \left[\frac{2}{3} u^{3/2}\right]_{1}^{4}\)

Substituting the limits, we have:

\(\lim_{n \to \infty} \frac{1}{n} \left[\frac{2}{3} (4)^{3/2} - \frac{2}{3} (1)^{3/2}\right]\)

Simplifying further:

\(\lim_{n \to \infty} \frac{1}{n} \left[\frac{2}{3} (8 - 2)\right] = \lim_{n \to \infty} \frac{1}{n} \left[\frac{12}{3}\right] = \lim_{n \to \infty} \frac{4}{n} = 0\)

Therefore, the given limit is 0.

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Answer:

Step-by-step explanation:

For the first bag:

Price of the bag = $12

Number of balls in the bag = 15

Price per ball = Price of the bag / Number of balls

Price per ball for the first bag = $12 / 15 = $0.8

For the second bag:

Price of the bag = $15

Number of balls in the bag = 20

Price per ball = Price of the bag / Number of balls

Price per ball for the second bag = $15 / 20 = $0.75

Comparing the prices per ball, we find that the second bag has a lower price per baseball. Therefore, the second bag offers a better price for individual baseballs compared to the first bag.

Answer:

Step-by-step explanation:

To find out which bag prices individual baseballs lower, we can divide the total cost of each bag by the number of balls in the bag. This will give us the price per ball for each bag.

For the first bag, the price per ball is $12 / 15 = $0.80.

For the second bag, the price per ball is $15 / 20 = $0.75.

Therefore, the second bag prices individual baseballs lower.

Answer:

C) 4

Step-by-step explanation:

Just follow the same steps as the last one.

32x+2 = 33x-2

2+2=33x-32x

4=1x

X=4