I need help on this problem ​

Answer:

.9

Step-by-step explanation:

do 4.50 divided by 5 to get .9

Answer: $0.90

Step-by-step explanation: $4.50 Divided by 5 = $0.90

Answer:

5

Step-by-step explanation:

75 / 5 = 15

5 + 5 = 10

so 5 does both

Answer:

32 feet

Step-by-step explanation:

See attached worksheet

Answer: $972.7972 or $973

To find the amount of money Mary should deposit each quarter, we will use the following equation:

Where:

P = deposit made n times

i = is the interest rate r compounded m times per year

Since Mary wants to invest every three months, that would be 4 times per year and have the interest rate of 2% = 0.02,

The amount she wants to save is A = $12000, and she will invest 12 times, n = 12.

Substituting these to the formula and we will have:

This means that Mary has to pay approximately $972.7972 or $973 each quarter.

Answer:

5 apples and 3 bananas

Step-by-step explanation:

It was a lengthy process finding the answer.

Hope this helps :)

Answer:

Bananas = 3

Apples = 5

Step-by-step explanation:

1.20 X 5 = 6.00

1.10 X 3 = 3.30

6.00 + 3.30 = 9. 30

Brainliest plzzz!!!!

The probability of x falling between 7 and 9 is 0.0352, rounded to four decimal places.

The standardization process involves subtracting the mean from x and dividing the result by the standard deviation. This converts any normal distribution to a standard normal distribution with a mean of 0 and a standard deviation of 1. In our case, we get:

z = (x - μ) / σ

z = (7 - 5.2) / 1.1 = 1.6364

z = (9 - 5.2) / 1.1 = 3.4545

Now, we can use the standard normal distribution table or calculator to find the area under the curve between z = 1.6364 and z = 3.4545. This area represents the probability of x falling between 7 and 9.

Using a standard normal distribution table or calculator, we get:

P(1.6364 ≤ z ≤ 3.4545) = 0.0352

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Answer 15c3d−7c2d2

Step-by-step explanation:

Answer:

199.8 km to the 1 decimal point

Step-by-step explanation:

8:36 to 9:00 is 24 min

9:00 to 10:00 is 60 min

10:00 to 10:57 is 57 min

That's a total of 24 + 60 + 57 = 141 min = 141/60 hr.

d = rt = 141/60(85) = 199.8 km to the 1 decimal point

Answer:

\(x =3\) or \(x = 7\)

Step-by-step explanation:

Given

\(x^2 - 10x = -21\)

Required

Solve by factoring & quadratic formula

By Factoring:

\(x^2 - 10x = -21\)

Equate to 0

\(x^2 - 10x +21 = 0\)

Expand:

\(x^2 - 7x -3x+21 = 0\)

Factorize:

\(x(x-7)-3(x-7) = 0\)

\((x-3)(x-7) = 0\)

\(x -3 = 0\) or \(x - 7 = 0\)

\(x =3\) or \(x = 7\)

By quadratic

\(x^2 - 10x = -21\)

Equate to 0

\(x^2 - 10x +21 = 0\)

For

\(ax^2 + bx + c = 0\)

x is solved using:

\(x = \frac{-b\±\sqrt{b^2-4ac}}{2a}\)

where

\(a = 1\); \(b = -10\); \(c = 21\)

So:

\(x = \frac{-(-10)\±\sqrt{(-10)^2-4*1*21}}{2*1}\)

\(x = \frac{10\±\sqrt{100-84}}{2}\)

\(x = \frac{10\±\sqrt{16}}{2}\)

\(x = \frac{10\±4}{2}\)

Split

\(x = \frac{10+4}{2}\) or \(x = \frac{10-4}{2}\)

\(x = \frac{14}{2}\) or \(x = \frac{6}{2}\)

\(x = 7\) or \(x =3\)

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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The cartesian vector form of \(F\) is \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\). We call x + yi the Cartesian form for a complex number.

Given that \(i,j,p\) and \(q\) are unit vectors and the angle \(\alpha = 222\)°, we can express the cartesian vector form of \(F\) as \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\).

To calculate the components of \(F\) , we use the trigonometric functions \(cos(\alpha )\) and \(sin(\alpha )\) with the given angle \(\alpha = 222\)°.

\(cos(222) = -0.766\\sin(222) = -0.643\)

Substituting these values into the cartesian vector form, we have:

\(F = (-31cos(222)i + 102sin(222)j)\\F = (-31 * -0.766i + 102*-0.643j)\\F = (23.746i - 65.586j)\)

Therefore, the cartesian vector form of \(F\) is \(F = (23.746i - 65.586j)\).

The cartesian vector form of \(F = (23.746i - 65.586j)\)

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(a) To find the critical numbers, we need to take the derivative of the function g(x). The derivative of g(x) is simply 1. To find the critical numbers, we need to set the derivative equal to zero and solve for x.

1 = 0
There is no solution to this equation, which means that there are no critical numbers for the function g(x).

(b) Since there are no critical numbers, we can't use the first derivative test to determine the intervals on which the function is increasing or decreasing. However, we can still look at the graph of the function to determine the intervals of increase and decrease.

The graph of the function g(x) = (x + 3) is a straight line with a slope of 1. This means that the function is increasing for all values of x, since the slope is positive. Therefore, the interval of increase is from negative infinity to positive infinity, and the interval of decrease is NONE.

(c) The graph of the function g(x) = (x + 3) is a straight line passing through the point (-3, 0) with a slope of 1. The graph starts at (-3, 0) and continues to increase indefinitely. The graph is a line that goes through the origin with a slope of 1.

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Answer:

45 degrees, considering the angle as either equilateral or right would also work.

Answer:

b is the correct answer

Answer:

Step-by-step explanation:

1. The coefficient of 2\(x^{2}\) is 2. Therefore, the answer is 2 for a. 1 is the coefficient of -x after we add it to the left side. Therefore, b is 1. C is 5, as it is the only whole number.

This means that the answer is a = 2, b =1, c =5.

2. You can simply cancel out both 3s by dividing, which leaves us with  1±9\(\sqrt{5}\).

3.  The answer is c. Unfortunately, I can't explain that, it's just a well known formula.

I hope this helped!

1. The coefficient of 2 is 2. Therefore, the answer is 2 for a. 1 is the coefficient of -x after we add it to the left side. Therefore, b is 1. C is 5, as it is the only whole number.

This means that the answer is a = 2, b =1, c =5.

2. You can simply cancel out both of the 3s by dividing, which leaves us with  1+9.

3.  The answer is c.

I hope this helped!

Let us solve right hand side and make it equal to left hand side .

Given expression,

cot2B = (cos B - sinBtanB) / secBsin2B

Basic trigonometric functions,

tanB = sinB/cosB

cotB = cosB/ sinB

secB = 1/cosB

sin2B = 2sinBcosB

cos²B - sin²B = cos²B

Now,

LHS = (cos B - sinBtanB) / secBsin2B

Further,

= (cosB - sinB×sinB/cosB) / secB 2sinBcosB

= (cos²B - sin²B) / cosB × 1/ cosB × 2sinBcosB

= (cos²B - sin²B) / sin2B

= cos2B / sin2B

=cot2B

Hence proved.

Thus with trigonometric identities we can prove LHS = RHS.

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The statement that describes when the plans are based on the same number of aerobic exercise sessions is:

The number of strength-training exercises and aerobic exercises per week is calculated as follows:

Let a be the number of strength-training exercises and b be the number of aerobic exercises per week respectively.

For the beginner plan:

15a + 20b = 90  eqn. (1)

For the advanced plan:

20a + 30b = 130 eqn. (2)

Solving the simultaneous equation by elimination method:

Multiply eqn. (1) by 3 and eqn. (2) by 2

45a + 60b = 270 eqn. (3)

40a + 60b = 260 eqn. (4)

Subtract eqn. (4) from eqn. (3)

5a = 10

a = 2

Substitute a = 2 in eqn (2)

b = 3

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Complete question:

A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week.

Which statement describes when the plans are based on the same number of aerobic exercise sessions?

Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.

Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.

Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.

Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.

Answer:

I need more info to answer the question.

Step-by-step explanation:

Answer:

nothing is in the question

Answer:

Step-by-step explanation:

2x=y-10

2x+7=2y

====

2x=y-10

x = (y-10)/2

Use this in the 2nd equation:

2x+7=2y

2((y-10)/2)+7=2y

y - 10 + 7 = 2y

-y -3 = 0

-y = 3

y = -3

Use this in either equation:

2x=y-10

2x=(-3)-10

x = -(13/2) or - 6.5

(-6.5, -3)

See attached graph.

The number of baskets that were sold for $2 is 299 baskets.

A word problem is a method we used in denoting mathematical expressions and variables and it can be solved with the use of fractions, ratios, algebra, and arithmetic operations as the case may be.

From the given information:

The number of baskets sold in the second week is obtained as follows

i.e.

x = (184 × 3.25)/2

x = 299 basket were sold for $2  

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The angle of elevation of the sun is, 36.7 degree.

What is angle of elevation?

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

Given: A 82-ft tree casts a shadow that is 110 ft long.

So, by using the tangent ratio,

tanθ = 82/110

Apply tan^(-1) on both sides, we get

So, θ = \(tan^-^1(\frac{82}{110} )\)

θ = 36.7 degree.

Therefore, when a 82-ft tree casts a shadow that is 110 ft long, the angle of elevation of the sun is 36.7 degree.

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Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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The P-value for a one-tailed z-test with Ha: p > 0.4 and z = 1.49 is 0.0675, indicating insufficient evidence to reject the null hypothesis at the 0.05 level of significance.

To find the P-value for a z-test with Ha: p > 0.4 and z = 1.49, we first calculate the corresponding area under the standard normal distribution curve.

Using a standard normal table or a calculator, we find that the area to the right of z = 1.49 is 0.0675.

Since the alternative hypothesis is one-tailed, the P-value is equal to the area in the tail to the right of z = 1.49.

Therefore, the P-value for this test is 0.0675 or 6.75% (rounded to four decimal places).

This means that if the null hypothesis is true, there is a 6.75% chance of observing a sample proportion as extreme as or more extreme than the one we obtained.

Since the P-value (6.75%) is greater than the significance level (α), we fail to reject the null hypothesis at the α = 0.05 level of significance. We do not have sufficient

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The real numbers can be classified as either rational or irrational numbers.

1. Rational Numbers:
Rational numbers can be expressed as the ratio (or fraction) of two integers. They can be written in the form p/q, where p and q are integers and q is not equal to zero. Rational numbers can be positive, negative, or zero. Some examples of rational numbers include 1/2, -3/4, and 5.

2. Irrational Numbers:
Irrational numbers cannot be expressed as the ratio of two integers. They are non-repeating and non-terminating decimals. Irrational numbers can be positive or negative. Some examples of irrational numbers include √2, π (pi), and e (Euler's number).

It is important to note that the set of real numbers contains both rational and irrational numbers. Every rational number is a real number, but not every real number is a rational number. This means that there are real numbers that cannot be expressed as a fraction.

In summary, the classification of real numbers as rational or irrational depends on whether they can be expressed as a ratio of integers (rational) or not (irrational). The set of real numbers contains both rational and irrational numbers, providing a comprehensive representation of all possible values on the number line.

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p = 0

\(8 - 4(2p - 2) = 7 + p + 9\)

➡️ \(8 - 8p + 8 = 16 + p\)

➡️ \(16 - 8p = 16 + p\)

➡️ \( - 8p = p\)

➡️ \( - 8p - p = 0\)

➡️ \( - 9p = 0\)

➡️ \(p = 0\)