Guys plz help me answer this!!!!

Its 15(3+4h)

In this case h can be anything, so lets say it 7

h=7

45+60h=465

So we know it equals to 465, so if an equation looks different but has the same answer we will know that its the same number (465).

105h=735

675h=4725

15(3+4h)=465

15(30+45x)=5175

The only one that has the answer 465 is 15(3+4x)

i cant understand your question define briefly

Answer:

A

Step-by-step explanation:

The triangles are the same. Congruent is when all three sides are equal to each other on both triangles

Answer:d) g(x)=x^1/3-1.5

Step-by-step explanation:

The estimated monthly payment for Brian's home loan would $1413.52.

To calculate the best estimate of the monthly payment for Brian's home loan, we can use the formula for calculating a fixed-rate mortgage payment.

The formula for the monthly payment of a fixed-rate mortgage is:

M = P * (r * (1+r)^n) / ((1+r)^n - 1),

where M is the monthly payment, P is the principal amount (loan amount minus down payment), r is the monthly interest rate, and n is the number of monthly payments.

In this case, Brian's principal amount is $220,000 - $22,000 = $198,000 (loan amount minus down payment). The monthly interest rate is 3.5% / 12 = 0.0029 (converted from annual interest rate to monthly rate), and the number of monthly payments is 180.

Plugging in these values into the formula, we get:

M = $198,000 * (0.0029 * (1+0.0029)^180) / ((1+0.0029)^180 - 1).

M = $198,000 * (0.0029 * (1+0.0029)^180) / ((1+0.0029)^180 - 1)

M = $1413.52

Evaluating this expression gives us the best estimate of the monthly payment. However, the calculation involves complex mathematical operations, and it is recommended to use a financial calculator or spreadsheet software to obtain an accurate estimate.

Note: It's important to consult with a financial advisor or a mortgage professional to get precise and personalized information about mortgage terms, interest rates, and monthly payments based on individual circumstances and loan options available.

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Answer:

7.28 units

Step-by-step explanation:

Given two points

The distance found using distance formula:

d = √(x2-x1)² + (y2-y1)²

Distance is 7.28 units

Answer:

12/23

Step-by-step explanation:

Area = length x width

Width = area ÷ length

12 ÷ 23 = 0.5217

Or in fraction form: 12/23

Answer:

The area for a rectangle is calculated by multiplying its length and width. You are given the area and one side, so you can set up an equation and solve for the other side.

Step-by-step explanation:

A = 12 sq. mi.

L = 23 mi.

W = ?

A = L x W, so 12 = 23 x W

Solve for W by dividing both sides by 23.

W = 12/23 mi.

You can't reduce that fraction any further.

Just as a side note, the answer tells us that the park is long and narrow. It is 23 miles long, but just over half a mile wide.

Answer:

mean: 29   median: 27.5   mode: 26

Step-by-step explanation:

Mean: you add all the numbers together and divide by that number (12 different #'s , you divide by 12)

Median: What is the middle number in order from least to greatest. if you have an even # add the two numbers together and divide by 2.

Mode: The most seen number (ex: there were three 26's)

False. The range of a linear transformation is a subset of the codomain, not the domain.

The domain is the set of inputs to the transformation, while the codomain is the set of possible outputs. The range is the set of actual outputs produced by the transformation. The statement "The range of a linear transformation must be a subset of the domain" is false. The range of a linear transformation is a subset of the codomain, not the domain. The domain is the set of input vectors, while the codomain contains the possible output vectors after applying the linear transformation.

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The minimum hot-holding temperature for fried shrimp is d. 135 ° F 57 ° C. It is important to maintain this temperature to ensure that the food remains safe for consumption and to prevent the growth of harmful bacteria.

The minimum hot-holding temperature for fried shrimp is 135 °F (57 °C). When food is hot-held, it means it is kept at a specific temperature after cooking to maintain its quality and safety until it is served or consumed. This temperature is important because it helps prevent the growth of harmful bacteria, such as Salmonella and E. coli, that can cause food borne illnesses.

At a hot-holding temperature of 135 °F (57 °C) or higher, the heat inhibits the growth of bacteria, ensuring that the fried shrimp remains safe for consumption. This temperature range is considered a critical control point in food safety practices.

It's worth noting that the temperature of 135 °F (57 °C) is the minimum requirement for hot-holding fried shrimp. However, in practice, it's generally recommended to hold the shrimp at a slightly higher temperature to account for any temperature loss that may occur over time.

Some food establishments may set their hot-holding equipment to maintain a temperature of 140 °F (60 °C) or higher to ensure the safety and quality of the food.

By adhering to proper temperature control guidelines, including maintaining the minimum hot-holding temperature of 135 °F (57 °C), you can help prevent the risk of food borne illnesses and ensure that the fried shrimp remains safe and enjoyable to consume.

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The area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

We have to find the area of the region enclosed by one loop of the curve.

The given curve is:

r = sin(10θ)

Consider the region r = sin(10θ)

The area of region bounded by the curve r = f(θ) in the sector a ≤ θ ≤ b is

A = \(\int^{b}_{a}\frac{1}{2}r^2d\theta\)

Now to find the area of the region enclosed by one loop of the curve, we have to find the limit by setting r=0.

sin(10θ) = 0

sin(10θ) = sin0   or    sin(10θ) = sinπ

So θ = 0             or      θ = π/10

Hence, the limit of θ is 0 ≤ θ ≤ π/10.

Now the area of the required region is

A = \(\int^{\pi/10}_{0}\frac{1}{2}(\sin10\theta)^2d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\sin^{2}10\theta d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\frac{(1-\cos20\theta)}{2}d\theta\)

A = \(\frac{1}{4}\int^{\pi/10}_{0}(1-\cos20\theta)d\theta\)

A = \(\frac{1}{4}\left[(\theta-\frac{1}{20}\sin20\theta)\right]^{\pi/10}_{0}\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin20\frac{\pi}{10})-(0-\frac{1}{20}\sin20\cdot0)\right]\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin2\pi)-(0-\sin0)\right]\)

A = 1/4[(π/10-0)-(0-0)]

A = 1/4(π/10)

A = π/40

Hence, the area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

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Answer:

The answer to the expression is;

5√xy

Step-by-step explanation:

we start by having a single square root over the terms

Thus, we have that;

√(25x^2y^2)/xy

= 5√xy

a. U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.

b. U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.

c. C0 = ∑t=0[infinity]​(β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.

d.  U0 = ∑t=0[infinity]​(β(1 + r))^tln(ct). This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.

Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income.

a. The optimization problem of the representative agent involves maximizing the present discounted value of utility subject to the period-by-period budget constraint. The Euler equation is derived as follows:

At each period t, the agent maximizes the utility function U(ct) = ln(ct) subject to the budget constraint ct = (1 + r)wt + yt, where wt is the agent's wealth at time t. Taking the derivative of U(ct) with respect to ct and applying the chain rule, we obtain: U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.

b. The Euler equation between time 1 and time 3 can be written as U'(c1) = β(1 + r)U'(c2), where c1 and c2 represent consumption at time 1 and time 2, respectively.

Similarly, we can write the Euler equation between time 2 and time 3 as U'(c2) = β(1 + r)U'(c3). Combining these two equations, we fin

d U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.

c. The present discounted value of optimal lifetime consumption can be written as C0 = ∑t=0[infinity]​(β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.

d. The present discounted value of optimal lifetime utility can be written as U0 = ∑t=0[infinity]​(β(1 + r))^tln(ct).

This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.

e. The present discounted value of lifetime income, denoted as Y0, can be expressed as Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income. The income in each period is multiplied by (1 + γ) to account for the increasing income over time.

This assumption of income growth allows for a more realistic representation of the agent's economic environment, where income tends to increase over time due to factors such as productivity growth or wage increases.

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Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

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The derivative of f(x) = arccos(x^2) is: f'(x) = -2x / √(1-x^4)

The derivative of f(x) = arccos(x^2), we'll use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is arccos(u) and the inner function is u = x^2.

First, let's find the derivative of the outer function, arccos(u). The derivative of arccos(u) is -1/√(1-u^2). Next, we'll find the derivative of the inner function, x^2. The derivative of x^2 is 2x.

Now we'll apply the chain rule. We have:

f'(x) = (derivative of outer function) * (derivative of inner function)

f'(x) = (-1/√(1-u^2)) * (2x)

Since u = x^2, we'll substitute that back into our equation:

f'(x) = (-1/√(1-x^4)) * (2x)

So, the derivative of f(x) = arccos(x^2) is:

f'(x) = -2x / √(1-x^4)

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Answer:

-x² + 3x + 7

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = (3x+1)-(x²-6) = -x² + 3x + 7

The value of (f - g)(x) is -x² + 3x + 7.

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given functions are;

   f(x) = 3x + 1

   g(x) = x² - 6

Now,

 (f - g)(x) = f(x) - g(x)

              = (3x + 1) - (x² - 6)

              = 3x + 1 - x² + 6

(f - g)(x)  = -x² + 3x + 7

Thus, the value of (f - g)(x) is -x² + 3x + 7.

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When an aabbccddeeff individual is crossed with an individual with the genotype aabbccddeeff, the probability that their offspring will have the genotype aabbccddeeff would be 1/64.

The genotype of an organism refers to the complete set of genetic material. An offspring's genotype is the result of the combination of genes from their parents.  In order to obtain the overall probability, individual probabilities for each locus will be multiplied. The Parent cross would be AABbccDdEeFF x AaBBCCDdEeff and offspring would be AaBbCcddEEFf.

Multiplying all the probability:

½ * ½ * 1 * ¼ * ¼ * 1 = 1/64

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Step-by-step explanation:

(-5p + 8)(-3p - 5)

\(15p^2 +25p - 24p -40\)

\(15p^2 +p -40\)

We have the following:

We have coterminal angles, when you graph angles x = 30° and y = - 330° in standard position, these angles will have the same terminal side. See figure below.

Therefore, the answer is 94 degrees in the quadrant II

Answer:

  21.35 inches

Step-by-step explanation:

You want to know the circumference of a hat that has a diameter of 6.8 inches.

The circumference is given by ...

  C = πd

  C = 3.14 × 6.8 in = 21.352 in

  C ≈ 21.35 in

The distance around the hat is about 21.35 inches.

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Out of 41 observations, 60% were successes. H0: p = 0. The correct option is a.2.974.

Based on the given information, we know that out of 41 observations, 60% were successes. This means that there were 24.6 successes (60% of 41).

The null hypothesis (H0) states that the true proportion of successes (p) is 0.49.

To test this hypothesis, we can use a one-sample proportion z-test. The formula for this test statistic is:

z = (p^ - p) / sqrt(p * (1 - p) / n)

where p^ is the sample proportion (in this case, 0.6), p is the hypothesized proportion (0.49), and n is the sample size (41).

Plugging in these values, we get:

z = (0.6 - 0.49) / sqrt(0.49 * 0.51 / 41)
z = 2.974

This means that our test statistic is 2.974.

To find the p-value associated with this test statistic, we can use a standard normal distribution table or calculator. The p-value for a z-score of 2.974 is approximately 0.0029.

Since this p-value is less than the typical alpha level of 0.05, we would reject the null hypothesis and conclude that there is sufficient evidence to suggest that the true proportion of successes is not 0.49.

Therefore, our answer is (a) 2.974.
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The total cost of purchasing 15 bottles of the sports drink is $17.85.

The function rule that models the total cost of a purchase of n bottles of the sports drink is: Total cost = 1.19n

Here, n represents the number of bottles purchased, and 1.19 represents the cost per bottle.

To evaluate the function for 15 bottles, we substitute n = 15 into the function and simplify:

Total cost = 1.19n

Total cost = 1.19(15)

Total cost = 17.85

Therefore, the total cost of purchasing 15 bottles of the sports drink is $17.85.

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The function to represent the situation is f(x) = 1.19x.

The cost of 15 bottles is 17.85 dollars.

You are buying bottles of a sports drink for a softball team. Each bottle costs $1.19.

Therefore, the function rule that models the total cost of the purchase can be represented as follows:

f(x) = 1.19x

where

Therefore, let's evaluate the function for 15 bottles.

Hence,

f(x) = 1.19(15)

f(x) = 17.85 dollars

Therefore, the cost of 15 bottles is 17.85 dollars

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The measure of angle c is 70 degrees.

If angle a and angle b are complementary, it means that the sum of their measures is equal to 90 degrees.

Given:

Measure of angle a = 10x + 10

Measure of angle b = 20

We can set up the equation:

(10x + 10) + 20 = 90

Simplifying the equation:

10x + 30 = 90

Subtracting 30 from both sides:

10x = 60

Dividing both sides by 10:

x = 6

Now, we have found the value of x to be 6.

To find the measure of angle c, we can substitute the value of x into the equation for angle a:

Measure of angle a = 10x + 10

Measure of angle a = 10(6) + 10

Measure of angle a = 60 + 10

Measure of angle a = 70

As a result, angle c has a measure of 70 degrees.

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Answer:

Julio's number is 24

Step-by-Step Explanation:

1. 24 - 11 = 13

2. 13 · -6 = -78

Answer:

26

Step-by-step explanation:

Answer:

x/4=75 and 75=x/4 can be used to represent the situation.

75/x=4 is not solvable given what we know

Step-by-step explanation:

Answer:

9.69

9. 81

10.45

10.495

9.821

________

50.266