Select the correct answer.
The daytime temperature in Apple Valley is falling by 2.5 degrees each day. What will the net change in the daily temperature be after one calendar week?

Answer:

798

Step-by-step explanation:

The ratio of Rs.1, 50 paise and 25 paise coins is: 5:6:8

Number of Rs.1 coins is: 5x

Number of 50 paise coins is: 6x

Number of 25 paise coins is: 8x

Value of 5xRs.1 coins is: Rs.1 • 5x = Rs.5x.

Value of 6x 50 paise coins is: 6x•50 paise is:

Rs. 6x × 50 = Rs.3x

100

Vaue of 8x 25 paise coins= 8x•25 paise is:

Rs. 8×25 = Rs.2x

100

Total Amount = Rs.420

5x+3x+2x=420

10x = 420 x= 420 = 42

10

# of Rs coins: 5×42=210

# of 50 paise coins: 6×42=252

# of 25 paise coins: 8×42=336

Total number of coins 210+252+336=798

The key phase that we see in our response is "Divide the numerator by the denominator" (option C).

A key phrase refers to a phrase that contains words that define the most important part of a text. A key phrase serves as a summary of a paragraph or larger text.

In this case, the key phrase would serve to establish what was the mathematical procedure that we carried out to solve a mathematical problem. According to the above, it can be inferred that the key phrase must contain the most precise information to describe this procedure.

Based on the above, the correct answer is "Divide the numerator by the denominator" because it exactly describes the procedure that was performed.

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2/9 has a repeating decimal

3/25 has a terminating decimal

7/40 has a terminating decimal

5/11 has a repeating decimal

4/5 has a terminating decimal

Hope this helped! :)

Answer: Working or doing homework in bed will reduce one's focus because most people tend to associate their beds with comfort and sleep. Doing such activities in bed can lead to a deviation of the brain to become more lazy and possibly fall asleep.

Disadvantages of studying in bed includes issues related to posture and concentration. Hence, studying in bed often ;

A bed is primarily meant for sleeping while desks and chairs are made for studying. The difference in the build is due to the purpose of nature of each activity. Studying in an environment meant for sleeping would most likely induce sleep.

Similarly the structure or design of a bed isn't appropriate for studying and may likely affect the rate of assimilation.

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Answer:

1. slope = -x, Y-intercept = 2

2. slope = -1/3,Y-intercept = 2

3. slope = 5/2, Y-intercept = 2

4. slope = -2, Y-intercept = 1

5. slope = -3/4, Y-intercept = 2

Step-by-step explanation:

To find the slope and y-intercept you have to solve the equation. You only have to solve for 2 and 3. 1, 4, and 5 already have the equations solved. For questions 1, 4, and 5 the first number is the slope and the second number is the y-intercept. For questions 2 and 5 you have to solve the equations. You have to bring the y to the right side of the equation. to do that you subtract the y. Then you have to bring the number that was already on the right side of the equation to the left side. To do this you also have to subtract that number to bring it to the other side. Now you have to get the y by its self, and to do this you divide the equation. You divide both sides of the equation. Then you can get the slope and y-intercept.

Answer:

M = 0 , b = 3

Step-by-step explanation:

y = 3

y = 0x + 3

y = 0x + 3, m = 0

y = 0x + 3, m = 0, b = 3

make sense?

Answer:

constant of proportionality

Step-by-step explanation:

Assuming that we have two proportional quantities; one is x and one is y.

If we know whether the relationship between them is direct or inverse proportion, then the ratio of the two quantities y/x gives us a constant generally known as the constant of proportionality.

Answer:

Step-by-step explanation:

ex  2

        4444

2

 4444

Yes, that's correct I even tried to show you.

The 2 is the bags of candy

4 pieces of candy per bag

equals to 8 in total

Steps to construct a regular hexagon inscribed in a circle are given by:

Step 1

Draw a circle with center A and a point on the circle B.

Step 2

Measure AB with a compass to get the distance of the radius.

Step 3

Place compass on point B and draw another circle with the same radius.

Step 4

Mark the new intersection points C and D. Move compass to point C with the same setting and draw another circle with the same radius.

Step 5

Continue drawing the circles this way until you have 6 points of intersection.

Step 6

Connect all intersection points to form the hexagon.

I do not understand what do you mean

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

y = -1/5x + 1

Step-by-step explanation:

1 is the y-intercept, and the formula for slope-intercept is y = mx + b.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

y=mx+b

Step-by-step explanation:

1 is the y-intercept, so just put that in for b. And -1/5 is the slope-value, so you plug that in for m. And you've got yourself an equation.

Answer:

17.8

Step-by-step explanation:

You have to add 9.2 and 63 and the subtract from 90. Hope this helped! <3

Answer:

1. C(9,4) : n=9, s=4

2. C(10,5) : r=5

3. C(5,5) : n=5

4. C(7,7) : n=6

5. C(18,17) : r=3

Step-by-step explanation:

Answer:

3 cuh

Step-by-step explanation:

15/3 = 5 9/3= 3

Answer:

Maybe 3 1/2 but they don't give enough information

Answer:

no I can't srry tdjfjfzkhdzlhfzljgxjghc,lhfzjfzlhdzlhfzulf

Answer:

B. 9 shirts

Step-by-step explanation:

do 12x0.75 and you'll get 9

If tan Ф = 15/8 then we have these trigonometric functions cosec Ф = 17/15, sec Ф = 17/8 and cot Ф = 8/15.

According to the question,

We have the following information:

Tan Ф = 15/8

We know that in this trigonometric function we have perpendicular divided by base.

Now, we can find the hypotenuse using the Pythagoras theorem:

Let's denote hypotenuse with h, perpendicular with p and base with b.

\(h^{2} =p^{2} +b^{2}\)

\(h^{2}\) = \((15)^{2} +(8)^{2}\)

\(h^{2} = 225+64\\h^{2} = 289\\h = \sqrt{289}\)

h = 17 units

Now, we have the following values:

Cosec Ф = 17/15 (Hypotenuse/perpendicular)

Sec Ф = 17/8 (h/b)

Cos Ф = 8/17 (b/h)

Cot Ф = 8/15 (b/p)

Hence, the correct options are A, B and D.

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The equation is correct, and the value on both sides of the equation is 40.

To verify if the equation 90 × 4/9 = 40 is true, we can perform the calculation on both sides and compare the results.

On the left side of the equation:

90 × 4/9 = (90 × 4) / 9 = 360 / 9 = 40

On the right side of the equation:

40

Both sides of the equation evaluate to 40, which means they are equal. Therefore, the equation 90 × 4/9 = 40 is indeed true.

In summary, the equation is correct, and the value on both sides of the equation is 40.

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Answer:

Step-by-step explanation:

Given the equation 4n^2 +28n +49, to get the factors of the equation, we need to factorize the equation completely as shown;

= 4n² +28n +49

Using the general formula n = -b±√b²-4ac/2a

from the equation: a = 4, b = 28 and c = 49

n =  -b±√b²-4ac/2a

n = -28±√28²-4(4)(49)/2(4)

n =  -28±√784-784/8

n = -28±√0/8

n = -28/8

n = -7/2

The factor of the given function is -7/2

Based on the calculations, the formula of this sinusoidal function is equal to f(x) = 6cos(2x) + 4.

Mathematically, the standard equation of a cosine function is given by:

y = Acos(Bx - C) + D

Where:

For the amplitude, we have:

A = maxline - midline

A = 10 - 4

Amplitude, A = 6.

Since the maxline to the midpoint is euqal to π/4, we have:

¼ × P = π/4

4P = 4π

P = π

For the value of B, we have:

B = 2π/P

B = 2π/π

B = 2.

Since there isn't any phase shift, the value of C is equal to zero (0) and D is equal to 4.

Next, we would substitute the parameters into the cosine function:

y = Acos(Bx - C) + D

y = 6cos(2x - 0) + 4

f(x) = y = 6cos(2x) + 4.

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Answer:

\((fog)(x) = f(g(x)) \\ = 7(4 - 2x) - 7 \\ = 28 - 14x - 7 \\ = 21 - 14x \\ = - 14x + 21\)

\((gof)(x) = g(f(x)) \\ = 4 - 2(7x - 7) \\ = 4 - 14x + 14 \\ = 18 - 14x \\ = - 14x + 18\)

I hope I helped you^_^

Answer:

  A)  6.86×10⁴

Step-by-step explanation:

You want to write 68600 in scientific notation.

The number 68600 can be written in expanded form with exponents as ...

  68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰

The left-most term of this sum tells you the exponent in scientific notation:

  68600 = 6.86×10⁴

Answer:

Therefore WE accept the Null hypothesis \(H_0\) That 50.0% versus 52.4%.difference is real

Step-by-step explanation:

Sample size A \(n_a=100\)

Sample size B \(n_b=250\)

Positive draw from box A \(n_a=50\)

Positive draw from box b \(n_b=131\)

Generally the equation for Probability of Positive draw from Box A is mathematically given by

 \(P_1=\frac{50}{100}\)

 \(P_1=50%\)

Therefore

 \(1-P_1=50\%\)

Generally the equation for Probability of Positive draw from Box A is mathematically given by

 \(P_1=\frac{131}{250}\)

 \(P_1=52.4%\)

Therefore

 \(1-P_1=47.6\%\)

Generally the equation for Standard error S.E is mathematically given by

 \(S.E=\sqrt{\frac{n_1(p_1)*(1-P_1)}{n_1^2}+\frac{n_2(P_2(1-p^2))}{n_2^2}}\)

 \(S.E=\sqrt{\frac{100(0.50)*(50)}{100^2}+\frac{(250)(0.524(47))}{250^2}}\)

 \(S.E=0.592\)

 \(S.E=59.2\%\)

Therefore

 \(Z=\frac{50-52.4}{59.2}\)

Generally

 \(P value P>0.05\)

Therefore WE accept the Null hypothesis \(H_0\) That 50.0% versus 52.4%.difference is real

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Answer:

(1.218 ; 1.322)

the confidence interval is appropriate

Step-by-step explanation:

The confidence interval :

Mean ± margin of error

Sample mean = 1.27

Sample standard deviation, s = 0.80

Sample size, n = 914

Since we are using tbe sample standard deviation, we use the T table ;

Margin of Error = Tcritical * s/√n

Tcritical at 95% ; df = 914 - 1 = 913

Tcritical(0.05, 913) = 1.96

Margin of Error = 1.96 * 0.80/√914 = 0.05186

Mean ± margin of error

1.27 ± 0.05186

Lower boundary = 1.27 - 0.05186 = 1.218

Upper boundary = 1.27 + 0.05186 = 1.322

(1.218 ; 1.322)

According to the central limit theorem, sample means will approach a normal distribution as the sample size increases. Hence, the confidence interval is valid, the sample size of 914 gave a critical value at 0.05 which is only marginally different from that will obtained using a normal distribution table. Hence, the confidence interval is appropriate

1) Adam's monthly cash flows are:

2) I would save $300 monthly from the ending cash flow balance for retirement savings.

3) If Adam retires in 35 years and finds an IRA for 4.8%, the future value of their retirement account will be $326,070.43 when they retire.

4) In 35 years, Adam will deposit $126,000 in total to their IRA.

5) The accrued interest from the IRA will be $200,070.43.

The future value represents the balance in Adam's retirement savings account after 35 years of depositing $300 monthly at 4.8% interest.

The future value is computed by compounding the periodic deposits (present values).

Adam's total monthly earnings = $2,080 ($15 x 32 x 52 x 1/12)

Monthly Expenses:

Rent $650

Groceries $325 ($75 x 52 x 1/12)

Utilities $120

Car Insurance $118

Gasoline $130 ($30 x 52 x 1/12)

Miscellaneous $400

Total monthly expenses = $1,743

Ending cash flows = $337 ($2,080 - $1,743)

Retirement period = 35 years

IRA interest rate = 4.8%

Monthly savings = $300

N (# of periods) = 420 months (35 years x 12)

I/Y (Interest per year) = 4.8%

PV (Present Value) = $0

PMT (Periodic Payment) = $300

Results:

Future Value (FV) = $326,070.43

Sum of all periodic deposits = $126,000 ($300 x 420)

Total Interest = $200,070.43

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There are four number properties: commutative property, associative property, distributive property and identity property.

Given,

Properties of numbers;

1. Commutative property;

This law merely asserts that while adding and multiplying integers, you can rearrange the numbers in a problem without changing the solution. Division and subtraction do not work interchangeably.

2. Associative property;

This law essentially asserts that you can rearrange the numbers in a problem without changing the solution when adding or multiplying them. Division and subtraction DO NOT go together.

3. Distributive property;

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

4. Identity property;

Identity attribute is defined as the ability of a number, known as the identity, to be increased, decreased, multiplied, or divided without causing the original number to change.

Therefore,

Commutative property, associative property, distributive property, and identity property are the four number properties.

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To determine which fraction is larger and which is smaller, we must compare the two fractions. We have two approaches for comparing fractions. Those are

1. By changing fractions to decimals

2. Employing the common denominator approach.

By using this method, you may determine the largest and smallest fractions by converting the fractions you want to compare into decimals and comparing them.

It is simple to compare two fractions when they have the same denominator. To make fractions easier to compare when the denominators are different, we must make them the same (using equivalent fractions).

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