​Twice a number is equal to negative four. Which equation could be used to find the number?

2n = 4

2n = -4n

2n - 4

2n = -4

​

ANSWER

3x² - 6x - 11

EXPLANATION

We can reject the null hypothesis and conclude that the mean waiting time for calls placed during the first 30 minutes the IRS helpline is open each day is significantly less than the overall mean waiting time of 13 minutes.

Two-Hypotheses:  

H0: The mean waiting time for calls placed during the first 30 minutes the IRS helpline is open each day is not significantly less than the overall mean waiting time of 13 minutes.

Ha: The mean waiting time for calls placed during the first 30 minutes the IRS helpline is open each day is significantly less than the overall mean waiting time of 13 minutes.

Test Statistic:  t = (11 - 13) / (8/√50) = -2.5  and the Critical Value Approach is: The critical value for a one-tailed test at alpha = 0.05 is 1.645. Since the test statistic (-2.5) is less than the critical value (1.645), we can reject the null hypothesis and conclude that the mean waiting time for calls placed during the first 30 minutes the IRS helpline is open each day is significantly less than the overall mean waiting time of 13 minutes, and the   P-Value Approach:  The p-value for the one-tailed test is 0.0062. Since this p-value is less than alpha = 0.05, we can reject the null hypothesis and conclude that the mean waiting time for calls placed during the first 30 minutes the IRS helpline is open each day is significantly less than the overall mean waiting time of 13 minutes.

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The graph given in this problem represents a proportional relationship with a constant of variation that is equals to -3.

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other. This means that if one quantity is multiplied by a certain factor, the other quantity will also be multiplied by the same factor.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

For the graph given, when x increases by 1, y decays by 3, hence the constant is given as follows:

k = -3.

Then the equation is given as follows:

y = -3x.

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Answer:

seiscientos noventa y seis millones quinientos cuarenta y tres mil noventa y ocho

Step 1

Given;

Required; To find f(x) if x=1

Step 2

A) Substitute x=1 in f(x)

Answer;

Step 3

C) Using the information in the previous​ step, list the​ point(s) on the graph of​ f, where x=1.

Answers;

Answer:

1. Tan θ = √11/5

2. Cosec θ = 6√11 /11

3. Cos θ = 5/6

Step-by-step explanation:

Let the side opposite to angle θ be y.

The value of y can be obtained by using the pythagoras theory as follow:

b² = 6² – 5²

b² = 36 – 25

b² = 11

Take the square root of both side.

b = √11

1. Determination of Tan θ

Tan θ =?

Opposite = √11

Adjacent = 5

Tan θ = Opposite /Adjacent

Tan θ = √11/5

2. Determination of Cosec θ.

We'll begin by calculating the Sine θ. This is illustrated below:

Sine θ =?

Opposite = √11

Hypothenus = 6

Sine θ = Opposite /Hypothenus

Sine θ = √11/6

Now, we shall determine Cosec θ as follow:

Cosec θ = 1/Sine θ

Sine θ = √11/6

Cosec θ = 1 ÷ √11/6

Cosec θ = 1 × 6/√11

Cosec θ = 6/√11

Rationalise the denominator

Cosec θ = 6/√11 × √11/√11

Cosec θ = 6√11 /11

3. Determination of Cos θ.

Cos θ =?

Adjacent = 5

Hypothenus = 6

Cos θ = Adjacent / Hypothenus

Cos θ = 5/6

Answer:

50

Step-by-step explanation:

575/11.5=50

Answer:

50 steps averaged per minute

Step-by-step explanation:

If you divide 575 by 11.5 you will find the end result of 50

Answer: the answers 57

Step-by-step explanation:

Nonverbal instruments have been developed primarily in an attempt to d. assess issues that individuals cannot verbalize.

The answer is d. Nonverbal instruments have been developed primarily to assess issues that individuals cannot verbalize. These instruments are often used in psychology and educational assessments to measure skills and abilities in areas such as mathematics, language, and pre-reading skills, while controlling for the influences of language and culture. Nonverbal instruments can be particularly useful for individuals who struggle with verbal communication or have language barriers.

The exchange of information between people without the use of spoken or written language is referred to as nonverbal communication. Facial expressions, eye contact, gestures, posture, body movements, tone of voice, and even the use of time and space are all included in this broad category of behaviors.

A lot of information about a person's emotional state, intentions, attitudes, and personality traits can be communicated nonverbally. A person's posture and body language, for instance, might show whether they are feeling confident or uneasy, and their tone of voice and facial expressions can show whether they are happy, angry, or sad.

A crucial component of human contact is nonverbal communication since it can improve our ability to understand others, establish rapport, and communicate.

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Question 1-

To determine which two points would a line of fit go through to best fit the data on the scatter plot, we need to visually analyze the pattern of the data points and choose two points that the line would pass through to represent the overall trend.

Without the actual scatter plot provided, I am unable to directly analyze it. However, based on the given answer choices:

A. (1,9) and (9,5)

B. (1,9) and (5,7)

C. (2,7) and (4,3)

D. (2,7) and (6,5)

Since I don't have the scatter plot, I cannot accurately determine which points would best fit the data. I would recommend carefully reviewing the scatter plot and selecting the two points that seem to represent the general trend or pattern of the data. The two points that form a line that closely follows the general direction of the data points would be the best choices.

Question 2-

To determine the slope of the relationship between the number of hours Laila danced, x, and the money she raised, y, we need to examine the graph and calculate the slope using the formula:

Slope = (change in y) / (change in x)

However, since the graph is not provided, it is not possible to directly calculate the slope. However, we can still evaluate the given answer choices based on their explanations:

A. The slope is 1/4, which means that the amount the student raised increases by $0.75 each hour.

B. The slope is 4, which means that the amount the student raised increases by $4 each hour.

C. The slope is 12, which means that the student will finish raising money after 12 hours.

D. The slope is 20, which means that the student started with $20.

From the explanations provided, it seems that option B would be the most reasonable choice. A slope of 4 would indicate that for each additional hour Laila danced, she raised $4. However, without the actual graph, it is challenging to confirm the accuracy of the answer choice or its real-world interpretation.

the value inside the square root must be positive or zero, then:

x - 7 ≥ 0

x - 7 +7 ≥ 0 + 7 adding 7 at both sides

x ≥ 7

The only option greater than or equal to 7 is 8

Answer:

Step-by-step explanation:

a2 = -2

a + d  =  -2

a + 6d = 7

-5d  =  -9

d  =  9/5

a = -19/5

an  =  a + ( n-1 ) d

an =  -19/5 + ( n-1 ) 9/5

Answer:

8

Step-by-step explanation:

The order of operations is PEMDAS:

Parentheses, Exponents, Multiplication & Division (whichever comes first), Addition & Subtraction (whichever comes first)

So...

16²/8(4)=256/32=8

Answer:

Step-by-step explanation:

16^2 = 256

8 * 4 = 32

Answer = 256 / 32 = 8

10 solar panels according to me is the answer

Answer: 10

Step-by-step explanation:

40 hours/8 hours = 5 hours

5 hours *2 solar panels = 10 solar panels

Since it takes her 8 hours to install 2 solar panels, we need to multiply 5 with 2.

Answer:

$0.10 less

Step-by-step explanation:

First you need to find how much for one fluid ounce, so for Brand X you would divide 3.25 by 5 to get 0.65 and for Brand Y 6.00 divided by 8 to get 0.75. Now you know how much for 1 ounce of each brand so next you just have to subtract 0.65 (Brand X) from 0.75 (Brand Y) to get that Brand X costs $0.10 less than brand y

Answer:

A

Step-by-step explanation:

Answer: B: the length of the wooden sides of the garden box

Step-by-step explanation:

because if she is going to plant flowers she will need to know how big the box she would need for her plants

Answer:

Step-by-step explanation:

This is a translation left and up

Compare the coordinates of corresponding points:

The difference is:

The translation rule is:

The value of tan(t−π) is 4/9.

According to the statement

we have given that  tan(t)=4/9 and we have to find the value of tan(t−π).

So,

tan(t−π)  -(1)

take negative sign common from equation (1) it then

tan(t−π) = -tan(-t+π)

and we know that the according to the mathematics formula it become

tan(-t+π) is -tan t

then

tan(t−π) = -(-tan t)

it becomes

tan(t−π) = tan t

then its value becomes

tan(t−π) = tan(t)=4/9.

because we have given that the value of tan t is tan(t)=4/9.

So, The value of tan(t−π) is 4/9.

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Answer:

m j ubhyb8yvtucvyrrd86rfutiy

Step-by-step explanation:

Answer: (x + 3)^2 + (y + 8)^2 = 14pi^2

(x-h)^2 + (y-k)^2 = r^2

Triangles that do not satisfy any of the similarity criteria, such as the AA (Angle-Angle), SAS (Side-Angle-Side), SSS (Side-Side-Side), or RHS (Right-Angle-Hypotenuse-Side) criteria, cannot be similar to triangle ABC.

For two triangles to be similar, their corresponding angles must be congruent, and the ratios of their corresponding sides must be equal. There are several criteria that can determine the similarity of triangles.
1. AA (Angle-Angle) Criterion: If two triangles have two pairs of congruent angles, they are similar. However, if triangle ABC does not share two pairs of congruent angles with another triangle, they cannot be similar.
2. SAS (Side-Angle-Side) Criterion: If two triangles have a pair of congruent angles and the lengths of the corresponding sides are proportional, they are similar. If triangle ABC does not satisfy the SAS criterion with another triangle, they cannot be similar.
3. SSS (Side-Side-Side) Criterion: If the lengths of the corresponding sides of two triangles are proportional, they are similar. If triangle ABC does not have proportional side lengths with another triangle, they cannot be similar.
4. RHS (Right-Angle-Hypotenuse-Side) Criterion: If two right triangles have the same length of hypotenuse and one pair of congruent acute angles, they are similar. If triangle ABC does not meet the RHS criterion with another right triangle, they cannot be similar.
Therefore, triangles that do not satisfy any of these similarity criteria cannot be similar to triangle ABC.

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The cost of one package of tulips bulbs = $10

And, The cost of one package of crocus bulbs = $14

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Perry sold 7 packages of tulip bulbs and 6 packages of crocus bulbs for a total of $166.

And, Scott sold 3 packages of tulip bulbs and 6 packages of crocus bulbs for a total of $126.

Now, Let the cost of one package of tulips bulbs = x

And, The cost of one package of crocus bulbs = y

Hence, We can formulate;

7x + 6y = 166  .. (i)

3x + 6y = 126  .. (ii)

Now, Find value of 6y from (i) and substitute in (ii);

From (i)

6y = 166 - 7x

From (ii),

3x + (166 - 7x) = 126

166 - 126 = 4x

40 = 4x

x = 10

From (i);

6y = 166 - 7 × 10

6y = 166 - 70

6y = 84

y = 14

Thus, the cost of one package of tulips bulbs = $10

And, The cost of one package of crocus bulbs = $14

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Answer:

Graph B

Step-by-step explanation:

Step 1) y+2≤-2/3x+4

Subtract 2 from both sides to get y≤-2/3x+2

Step 2) We know the line will be solid because of a "≤" sign. Use (0,0) to determine which side will be shaded.

0≤0+2 is true so the side that includes the origin should be shaded.

a.  The yield on a 1-year T-bill is 4.1%. b. The yield on a 5-year T-bond is 18%. c. The yield on a 5-year corporate bond is 17.5%.

a. To calculate the yield on a 1-year T-bill, we need to consider the components that contribute to the yield.

First, let's calculate the expected inflation rate for the next year. The inflation rate is projected to be 2%.

Next, we need to calculate the maturity risk premium for a 1-year T-bill. According to the given formula, the maturity risk premium is 0.1 × (t – 1)%, where t represents the number of years to maturity. For a 1-year T-bill, the maturity risk premium is 0.1 × (1 – 1)% = 0%.

Now, we can calculate the yield on the 1-year T-bill. The yield is equal to the real rate of interest plus the expected inflation rate plus the maturity risk premium.

Yield on 1-year T-bill = Real rate of interest + Expected inflation rate + Maturity risk premium
= 2.1% + 2% + 0%
= 4.1%
Therefore, the yield on a 1-year T-bill is 4.1%.

b. To calculate the yield on a 5-year T-bond, we will consider the same components as in part a.

The expected inflation rates for the next 5 years are as follows: 2%, 3%, 4%, 5%, 5%.

The maturity risk premium for a 5-year T-bond is 0.1 × (5 – 1)% = 0.4%.

The liquidity premium on relevant 5-year securities is 0.5%.

The default risk premium on relevant 5-year securities is 1%.

To calculate the yield on a 5-year T-bond, we sum up all the components:

Yield on 5-year T-bond = Real rate of interest + Expected inflation rates + Maturity risk premium + Liquidity premium + Default risk premium
= 2.1% + 2% + 3% + 4% + 5% + 0.4% + 0.5% + 1%
= 18%

Therefore, the yield on a 5-year T-bond is 18%.

c. To calculate the yield on a 5-year corporate bond, we consider the same components as in part b, excluding the liquidity premium.

Yield on 5-year corporate bond = Real rate of interest + Expected inflation rates + Maturity risk premium + Default risk premium
= 2.1% + 2% + 3% + 4% + 5% + 0.4% + 1%
= 17.5%

Therefore, the yield on a 5-year corporate bond is 17.5%.

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To find the time until the ball hits the ground, you need to solve the quadratic as the height equals zero.

0 = -16t^2+50t

This gives us a classing quadratic that you can factor or use the quadratic formula to solve.

x = 0, x = 25/8

If you graph this, think of y = 0 as the ground, so when the parabola intersects the x-axis on the right that represents how much time would have passed.

Hope this helps you out! Good luck with your homework! Stay safe and stay healthy.

A medium-sized orange contains 68 calories. Which is one-fifth the number of calories in a slice of cheese pizza.

If one slice of cheese pizza contains 340 calories, and a medium-size orange has one-fifth that number of calories, we can find the number of calories in a medium-size orange by dividing 340 by 5. Calories in a medium-sized orange = \(\frac{340}{5}\) calories = 68 calories. The division is an arithmetic operation used to find out how many times one number is contained within another number. The result of a division operation is called the quotient.

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Answer:

115

Step-by-step explanation:

Answer:

Step-by-step explanation:

$86.50

Answer:

Step-by-step explanation:

b^7. b^5 ⇒ b^12

Product Rule says that to multiply two exponents with the same base, you keep the base and add the powers.

b^7 + 5

b^12

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

14x^8/7x^4 ⇒ 2x^4

2 times 7 goes into 14.