A line passes through the point ( -4, 3) and has a slope of -5/4

Write an equation in slope-intercept form for this line.

Answer:

0.5857 radian

Step-by-step explanation:

Given :

Length of fence = 6 feets

Height of fence from ground after tilt = 5 feets

The tilt angle is represented by θ ;

To obtain the angle ; we use the trigonometric relation :

Cosθ = adjacent / hypotenus

Cos θ = 5 / 6

θ = Cos^-1(5/6)

θ = 33.557°

Converting to radian :

33.557 * π/180

= 33.557 * 0.0174532

= 0.58568

= 0.5857 radian

Answer:

Number 11:

The question is given below as

The circumference of a circle is calculated using the formula below

By substituting the values, we will have

Hence,

The circumference of the circle is

Answer: 2¹/₃ hours per week

Step-by-step explanation:

Bryce practices his piano for 1/3 hours each day.

The number of days in a week is 7 days so to find out the number of hours he practices per week, multiply the number of hours practiced per day by 7.

= 1 /3 * 7

= 7 / 3

= 2¹/₃ hours per week

The domain of f is the interval [-37, ∞).

For a function to have an inverse, it must be one-to-one, which means that it must pass the horizontal line test, i.e., each horizontal line should intersect the graph of the function at most once.

The derivative of the function is:

\(f'(x) = 6 + (1/2√(x+37))\)

f'(x) is always positive because 6 is positive and the square root is positive, so f(x) is an increasing function. This means that f(x) is one-to-one and therefore has an inverse.

To determine the largest interval on which f has an inverse, we need to find the domain of f. The square root can only take non-negative values, so we must have x+37 ≥ 0, which means x ≥ -37.

Therefore, the domain of f is the interval [-37, ∞).

Since f is increasing over this interval, its inverse will also be increasing, and the largest interval on which f has an inverse is [-37, ∞).

The proper question is "Let f(x)=6x+√(x+37)Choose the form of the largest interval on which f has an inverse and enter the value(s) of the endpoint(s) in the appropriate blanks. Then find (f−1)′(0)

Endpoints(a ,b)"

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The weight of the liquid can be calculated as follows:

Weight = Volume x Density

The volume is given as 182.8 milliliters.

The density is given as 0.135 grams over milliliter.

Weight = 182.8 x 0.135 = 24.67 grams

Therefore, the weight of the liquid that exactly fills a 182.8 milliliter container if the density of the liquid is 0.135 grams over milliliter is 24.67 grams.

Probably this

Answer:

C. is the answer

Step-by-step explanation:

got it right on edge 2020

Answer:

Ken's prediction for May is 8 degrees centigrade : \(8\,C^o\)

Step-by-step explanation:

Locate the starting point at the value -3 on the number line, and count (add) 11 units to the right of that point, ending at the point 8 on the number line.

Answer:8c

Step-by-step explanation:

Elsa's claim that the logarithmic equation \(\log_2(x) = \log_2(3x+5)+4\) has no solution is true

The logarithmic equation is given as:

\(\log_2(x) = \log_2(3x+5)+4\)

Express 4 as a logarithm expression

\(\log_2(x) = \log_2(3x+5)+\log_2(16)\)

Apply the rule of logarithm

\(\log_2(x) = \log_2(16 *(3x+5))\)

Cancel out the common base

x = 16 *(3x+5)

Expand

x = 48x + 80

Collect like terms

x - 48x = 80

This gives

-47x = 80

Divide both sides by -47

x =-80/47

When the value of x is negative, then the logarithmic equation has no solution

Hence, Elsa's claim is true

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Answer:

m=90 degrees I think

Step-by-step explanation:

Answer:

1/6 and 1/3 are

already in the simplest form.

Let a be the first, b be second and c be the third whole number.

Since the sum of these three numbers is 100.

So, \(a+b+c=100\) (equation 1)

Since, The first number is a multiple of 15

Therefore, \(a = 15n\)

And, the second number is ten times the third number.

\(b = 10c\)

Substituting the values of 'a' and 'b' in equation 1

So, \(15n+10c+c=100\)

\(15n+11c=100\)

\(11c=100-15n\)

\(c=\dfrac{100-15n}{11}\)

Therefore, \(100-15n\) should be exactly divisible by 11.

So, by taking \(n= 1\) and 2, \(100-15n\) is not divisible by 11

Let \(n =3\)

\(c=\dfrac{100-15\times3}{11}\)

\(c= 5\)

Now, second number (b) \(= 10c = 10\times5=50\)

As, \(a+b+c=100\)

\(a+50+5=100\)

\(a+55=100\)

\(a=45\)

Therefore, the three whole numbers are 45, 50, 5.

Answer:

19

Step-by-step explanation:

5² - (2.1 + 5.4) + 1.5

Add

= 5² - 7.5 + 1.5

Evaluate the power

= 25 - 7.5 + 1.5

Subtract

= 17.5 + 1.5

Add

= 19

The inequality that represents the amounts in dollars that could be deposited in a new checking account is a ≥ 75.

This inequality states that "a" must be greater than or equal to 75 dollars, which is the minimum deposit required for opening a new checking account.

the inequality "a ≥ 75" represents the amounts in dollars that could be deposited in a new checking account, where "a" is the amount being deposited and must be greater than or equal to $75.

To represent this mathematically, we can use an inequality. An inequality is a statement that compares two values using symbols like "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "! =" (not equal to).

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After 3 hours Dylan and Sam will be exactly 15 miles apart .

In the question ,

it is given that ,

the speed at which Dylan is jogging in east = 4 miles per hour .

the speed at which Sam is jogging in south = 3 miles per hour .

the distance covered by Dylan is = 4t

the distance covered by Sam is = 3t

we have to find the time when they are 15 miles apart .

Since Dylan walks in east and Sam walks in South  , it forms a right triangle , so , it will satisfy the Pythagoras Theorem ,

(3t)² + (4t)² = 15²

9t² + 16t² = 225

225 = 25t²

t² = 225/25 = 9

t = 3

Therefore , the time taken will be 3 hours .

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Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

Answer:

19

Step-by-step explanation:

The total amount of money Jose made on 5 shares is given by the equation A = $ 101.70

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of money Jose made on 5 shares be A

Now , the equation will be

The amount at which Jose buys the share = $ 114.95

The amount at which Jose sells the share = $ 135.29

So , the amount of money Jose made = amount at which Jose sells the share - amount at which Jose buys the share

Substituting the values in the equation , we get

The amount of money Jose made = $ 135.29 - $ 114.95

On simplifying the equation , we get

The amount of money Jose made = $ 20.34

Now , the amount of money Jose made on 5 shares = 5 x amount of money Jose made

On simplifying the equation , we get

The amount of money Jose made on 5 shares A = 5 x 20.34

The amount of money Jose made on 5 shares A = $ 101.70

Hence , the amount of money Jose made is $ 101.70

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Using the distributive property, the expanded form of (−1/4)(−8x+12y) is c) 2x - 3y.

The distributive property states that when you multiply a number or a variable expression by a sum or a difference, you can distribute the multiplication over each term within the parentheses.

So, to expand the expression (−1/4)(−8x+12y), we can apply the distributive property by multiplying -1/4 to each term inside the parentheses:

(−1/4)(−8x+12y) = (−1/4) × (−8x) + (−1/4) × (12y)

= (1/4) × 8x − (1/3) × 12y

= 2x − 3y

Therefore, the expanded form of (−1/4)(−8x+12y) is 2x − 3y. Hence, the correct answer is (c) 2x-3y.

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a. The appropriate hypothesis test for this situation can be formulated as follows: Null Hypothesis (H₀) and Alternative Hypothesis (H₁)

b. To test the hypothesis, we can use the z-test for proportions.

c. We can find the p-value associated with z = 5.1493.

d. Conclusion:

If the p-value is less than α, we reject the null hypothesis.

If the p-value is greater than or equal to α, we fail to reject the null hypothesis.

A hypothesis known as the null hypothesis states that sample observations are the result of chance.

(a) Hypothesis Test:

The appropriate hypothesis test for this situation can be formulated as follows:

Null Hypothesis (H₀): The proportion of children with autism is equal to 5% (p = 0.05).

Alternative Hypothesis (H₁): The proportion of children with autism is different from 5% (p ≠ 0.05).

(b) Test Procedure:

To test the hypothesis, we can use the z-test for proportions. The steps for this test procedure are as follows:

1. Formulate the null and alternative hypotheses as stated in part (a).

2. Set the significance level (α) to determine the threshold for rejecting the null hypothesis.

3. Collect a random sample of children and record the number of children showing signs of autism.

4. Calculate the sample proportion (\(\bar p\)) of children with autism.

5. Calculate the standard error of the proportion (SE):

  SE = √((p₀ * (1 - p₀)) / n),

  where p₀ is the hypothesized proportion (0.05 in this case) and n is the sample size.

6. Calculate the test statistic (z):

  z = (\(\bar p\) - p₀) / SE

7. Calculate the p-value associated with the test statistic using a standard normal distribution table or a statistical software.

8. Compare the p-value with the significance level (α).

  - If the p-value is less than α, reject the null hypothesis.

  - If the p-value is greater than or equal to α, fail to reject the null hypothesis.

(c) Perform the Test and Calculate the p-value:

In this case, the sample size is 384, and the number of children showing signs of autism is 46.

\(\bar p\) = 46/384 = 0.1198

SE = √((0.05 * (1 - 0.05)) / 384) ≈ 0.0134

z = (0.1198 - 0.05) / 0.0134 ≈ 5.1493

Using a standard normal distribution table or a statistical software, we can find the p-value associated with z = 5.1493. The p-value represents the probability of observing a test statistic as extreme as the one calculated (or more extreme) under the assumption that the null hypothesis is true.

(d) Conclusion:

Based on the calculated p-value and the chosen significance level (α), we can draw a conclusion:

If the p-value is less than α, we reject the null hypothesis.

If the p-value is greater than or equal to α, we fail to reject the null hypothesis.

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The total amount of interest paid along with annual rate is $163.80 at 16.08%.

The annual percentage rate refers to the yearly rated interest which is taken from when the individual takes a loan. It is also considered a measure of the cost of credit or borrowing expense which involves a interest and fees concerning the transaction.

And an annual percentage yield is helpful in the effective annual rate which includes the points of compounding given in that year.

For the given loan of $1000 with a 15% APR compounded monthly,

The evaluated monthly interest rate would be

15%/12 = 1.25%.

The total evaluated amount of interest paid on the course of a year will be $163.80.

The current effective annual rate will be 16.08%.

The total amount of interest paid along with annual rate is $163.80 at 16.08%.

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To find the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x, we need to substitute the given values of the variables into the expression and then simplify.

Here is the step-by-step explanation:

1. Substitute the given values of the variables into the expression:
(2)²(3+4)-(1)²(1/2+2/3)+2(0)

2. Simplify the expression by following the order of operations:
(4)(7)-(1)(7/6)+0

3. Simplify further:
28-7/6

4. Find a common denominator and combine the terms:
168/6-7/6

5. Simplify the expression to get the final numerical value:
161/6

Therefore, the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.

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The numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.

To find the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x, we need to substitute the given values of the variables into the expression and then simplify.

Here are the steps to do this:

1. Substitute the given values of the variables into the expression:
(2)²(3+4)-(1)²(1/2+2/3)+2(0)

2. Simplify the expression inside the parentheses:
(2)²(7)-(1)²(7/6)+0

3. Simplify the exponents:
4(7)-1(7/6)+0

4. Multiply the numbers:
28-7/6+0

5. Simplify the expression by finding a common denominator and combining the terms:
28-7/6 = 168/6-7/6 = 161/6

So the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.

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Answer:

y < \(\frac{13}{2}\)

Step-by-step explanation:

Given

5y + 4 < 3y + 17 ( subtract 3y from both sides )

2y + 4 < 17 ( subtract 4 from both sides )

2y < 13 ( divide both sides by 2 )

y < \(\frac{13}{2}\)

Answer:

y < 13/2

Step-by-step explanation:

Answer:

There are 4 terms

3y and 6 are the only constant terms (i think, sorry)

Coefficients: 4, 3, 6

I love the Luz pfp :DD

Answer:

A.32.10

Step-by-step explanation:

You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.

Answer:

{all real numbers}

Step-by-step explanation:

Solve (x + 1 < 5) ∩ (x - 4 > -3).

For the expression

x + 1 < 5

Subtract 1 from both sides

x+1-1 < 5-1

x < 4

For the inequality

x - 4 > -3

Add 4 to both sodes

x-4+4 > -3 + 4

x > -1

Hence the intersection of both is on all real numbers since the value of x is greater than -1.

Stephanie did Step 3 wrong as instead of adding 10, she subtracted it.

We are given that Stephanie attempted to solve the equation 5 − 3 k = 2 ( k − 5 ).

5 - 3 k = 2 ( k - 5)

5 - 3 k = 2 k - 10

5 = 2 k + 3 k - 10

5 = 5 k - 10

5 + 10 = 5 k

15 = 5 k

15 / 5 = k

3 = k

We can see that she did Step 3 wrong as instead of adding 10, she subtracted it.

Therefore, she did Step 3 wrong as instead of adding 10, she subtracted it.

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We need 1.75 litres of water to make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water

To make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water, we need to calculate how much water is needed.

We can do this by using the following formula:

Water = Diluted Squash - Squash First, we need to find out how much squash is in 2 litres of diluted squash.

Since the ratio is 1:7, we can divide 2 litres by the total number of parts (1 + 7 = 8) to find out how much squash is in 2 litres of diluted squash: Squash = 2 litres / 8 = 0.25 litres

Now we can use the formula to find out how much water is needed:

Water = 2 litres - 0.25 litres = 1.75 litres

Therefore, we need 1.75 litres of water to make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water.

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Answer:

A) reflect triangle A over the x-axis Triangle A: (4,-2) (4,-4) (1,-4)

B) Reflect Triangle A over the line y= -x Triangle A: (-2,4) (-4,-4) (-4,-1)

C) Rotate Triangle A 90 degrees counterclockwise Triangle A: (2,-4) (4,-4) (4,-1)

Step-by-step explanation:

A) When reflecting points over the x axis, the points change from

(x,y) to (x,-y)

B) When reflecting points over the line y=-x, the points change from

(x,y) to (-y,-x)

C) When rotating points 90 degrees counterclockwise around the origin, the points change from (x,y) to (y,-x)

Answer:

3 and 1/2

Step-by-step explanation:

2 & 1/2 + x = 6

2 & 1/2 = 2.5

rearrange

6 - 2.5 = 3.5

so...

2.5 + 3.5 = 6