I will send the whole picture of the math I need help with.

Double the number $59 is $118 after applying the mental math, the answer is $118.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that:

To "double" a number means to multiply by two.

From the definition of the arithmetic operation, the operation in which we do the addition of numbers, subtraction, multiplication, and division.

Using mental math it can be easy to determine the double a number.

The number is $59

To double:

= 59 + 59

= 50 + 9 + 50 + 9

= 100 + 18

= $118

Thus, double the number $59 is $118 after applying the mental math, the answer is $118.

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Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Answer:

csc (theta) = 5/3

Step-by-step explanation:

If tan (theta) = 3/4

and tangent is the ratio of opposite/adjacent, OPP/ADJ, consider a triangle with theta and sides 3 and 4. The hypotenuse must be 5. You can calculate it or if you know, it is the pythagorean triple 3, 4, 5. See image.

Cosecant is the reciprocal of sine. Sin(theta) = 3/5

so csc(theta) = 5/3

The value of \(\csc(\theta)\) is 5/3

Trigonometry ratios are used to determine the sides and angles in a right triangle

The trigonometry ratio is given as:

\(\tan(\theta) = \frac 34\)

In a right triangle, if the tangent ratio is:

\(\tan(\theta) = \frac{x}{y}\)

Then the cosecant ratio is:

\(\csc(\theta) = \frac{\sqrt{y^2 + x^2}}{x}\)

By comparing:

\(\tan(\theta) = \frac 34\) and \(\tan(\theta) = \frac{x}{y}\)

We have:

x = 3 and y = 4

So, the above cosecant expression becomes

\(\csc(\theta) = \frac{\sqrt{4^2 + 3^2}}{3}\)

Evaluate the exponents

\(\csc(\theta) = \frac{\sqrt{25}}{3}\)

Evaluate the root

\(\csc(\theta) = \frac{5}{3}\)

Hence, the value of \(\csc(\theta)\) is 5/3

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Answer:

\(f(4) = 6\)

Step-by-step explanation:

\(f(x) = (x-1)(x-2)(x-3)\\\\f(4) = (4-1)(4-2)(4-3)\\\\~~~~~~~=3 \cdot 2 \cdot 1\\\\~~~~~~~=6\)

We have the next given equation:

Now, we can solve for x using the exponent's properties:

Add both sides ln:

With the ln we can take down the exponent and simplify ln*e = 1.

Hence,

Hence, the correct answer is option B.

Answer:

-25

Step-by-step explanation:

= 2*(2) - 28 - 1

= 4 - 29

= -25

Given:-

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Solution:-

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hope it helps! :)

Answer:

k = 24

y = 72

Step-by-step explanation:

Direct variation Formula:

y=kx

72=3k

k = 24

y = kx

y = 24(3)

y = 72

Larry Mitchell invested $7600 at 3% rate of interest and $11400 at 2% rate of interest.

In the field of finance, interest is the payment of a sum over and above the principal amount owed by a lender or depositor to a borrower or deposit-taking financial institution at a set rate.

Rate of an interest in defined as the amount that a lender charges a borrower in interest as a percentage of the principal.

Larry invested part of his $19000 at 3% and the rest at 2%

Let he invested $'x' at 3% interest .

Therefore amount invested at 2%=$(19000-x)

Interest earned annually at 3% on $x = \(\frac{3}{100} \times x =0.03x\) .

Interest earned annually at 2% on $(19000-x)=\(\frac{2}{100} \times(19000-x)\)

=\(380-0.02x\)

Now the combined interest for both the investment is $560 .

Therefore we can form a linear equation to solve for x:

0.03x+380-0.02x=560

or, 0.01x=180

or, x=18000

Therefore Larry invested $18000 at 3% interest.

Money invested at 2%=$(19000-18000)=$1000

Hence Larry invested $18000 at 3% rate of interest and $1000 at 2% rate of interest.

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Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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Answer:

t = 1.195pounds.

Step-by-step explanation:

The cost per pound of Turkey and Ham are: 1.195pounds and 1.733pounds respectively.

By observing the question, we must notice this is a word problem and can be written mathematically thus;

For Casey:

15.4t + 11.6h = 38.51

For Jane:

10.2t + 7.3h = 24.84

Therefore, to find the cost per pound of Turkey and Ham, the pair of equations need to be solved simultaneously.

Therefore, we can make t the subject of the formula in equation (2) as follows;

t = (24.84 - 7.3h)/10.2

Therefore, we can substitute the value of t into equation (1) to get;

15.4{(24.84 - 7.3h)/10.2} + 11.6h = 38.51

37.51 - 11.023h + 11.6h = 38.51

0.577h = 1

h = 1.733pounds

Therefore, by substituting the value of h into equation 1, we get the value of t to be;

t = 1.195pounds.

Answer:

Computer = $2106

Printer = $1053

Step-by-step explanation:

Computer - Multiple by 2 = 2106

Printer - Divide by 2 = 1053

Hope this helped the wording was a little confusing, but I hope I got it right.

Answer:

  116.82 square inches

Step-by-step explanation:

The overall shape is that of a 10-inch square with four triangles attached. Each of those is an isosceles right triangle with leg lengths of 2.9 inches.

The area of the four triangles is ...

  total triangle area = 4(1/2)(2.9 in)(2.9 in) = 16.82 in²

The area of the 10-inch square is ...

  square area = (10 in)² = 100 in²

Then the total window area is ...

  window area = 16.82 in² +100 in²

  window area = 116.82 in²

The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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Answer:

kpealeakara

Mon. Nov. 16 2020

ss1

8

Answer:

8 is your answer am right or wrong

Answer:

Step-by-step explanation:

To figure out how long it would take Fine Floors to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches, we first need to determine how many square yards of carpeting are needed for the room. We can start by converting the dimensions of the room from feet and inches to yards, since that's the unit of measurement we're working with.

To convert feet to yards, we divide by 3. For example, 11 feet is equal to 11/3 = 3.67 yards. To convert inches to yards, we divide by 36 (since there are 36 inches in a yard). For example, 9 inches is equal to 9/36 = 0.25 yards.

So the length of the room in yards is 3.67 + 0.25 = 3.92 yards, and the width of the room in yards is 13/3 + 4/36 = 4.33 + 0.11 = 4.44 yards.

To determine the total area of the room in square yards, we multiply the length and width: 3.92 * 4.44 = 17.38 square yards.

Now that we know how many square yards of carpeting are needed for the room, we can use that information to calculate how long it would take Fine Floors to install the carpeting. Since we know that Fine Floors can install 15 square yards of carpeting in 4 hours 30 minutes, we can use that as the ratio for our calculation.

To calculate how long it will take to install 17.38 square yards of carpeting, we use the proportion:

(15 sq. yards) / (4 hours 30 minutes) = (17.38 sq. yards) / (x hours)

Cross multiplying and solving for x, we find: x = (4 hours 30 minutes) * (17.38 sq. yards) / (15 sq. yards)

So it would take Fine Floors approximately 5 hours and 11 minutes to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches.

Answer:

Step-by-step explanation:

This question is incomplete; here is the complete question.

A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour. Find each temperature. Explain or show your reasoning.

If it continues to fall at this rate, what will the temperature be:

In 2 hours ............. In 5 hours .............. In half an hour......................

If the current temperature of the mountain is b°C and it is falling at a constant rate of 3°C per hour.

Then after 'x' hours, temperature on the top of the mountain will be represented by the function,

T(x) = 0 - 3x

Therefore, temperature after 2 hours = -3(2) = -6°C

Temperature after 5 hours = -3(5) = -15°C

Temperature after half an hour = \(-3(\frac{1}{2})\)

                                                    = -1.5°C

Answer:

Step-by-step explanation:

With a factor of (t - 1) we know that zero (ground level) is reached at 1 second from an initial height of (0 - 1)(0 - 1)(0 - 11)(0 - 13)/3 = -1•-1•-11•-13 / 3 = 47⅔ meters at t = 0

As we have two factors of (t - 1) we know the track does not go underground at t = 1, but rises again.

At t = 11 seconds, the car has again returned to ground level, but as we only have a single factor of (t - 11) the car plunges below ground level and returns to above ground level at t = 13 seconds due to the single factor of (t - 13)

we can estimate that the car is the deepest below ground level halfway between 11 and 13 s, so at t = 12. At that time, the depth will be about (12 - 1)(12 - 1)(12 - 11)(12 - 13) / 3 = -(11²/3) = - 40⅓ m.

we can estimate that the car is the highest above ground level halfway between 1 and 11 s, so at t = 6s. At that time, the height will be about (6 - 1)(6 - 1)(6 - 11)(6 - 13) / 3 = 5²•-5•-7 / 3 = 291⅔  m.

It's obvious that the roller coaster car had significant initial velocity at t = 0 to achieve that altitude from an initial height of 47⅔ m

The total number of students who graduated from the Cincinnati universities and colleges are 15382.

We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.

The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.

We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.

Let the total number of students be x.

ATQ:

6.67 % x = 1026

6.67 x = 102600

667 x = 10260000

x = 10260000 / 667

x = 15382.309

Rounding off to the nearest whole number is:

x = 15382.

Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.

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The product of two linear functions having same variables will be a quadratic function where as the The product of two linear functions having different variables will be a linear function.

Linear function is the function whose degree is 1.

Degree of a function is the highest power of the variable of the function.

Let us take two examples.

1. Suppose the two linear functions are -

f(x) = 2x + 3 and g (x) = x + 5

The product of f(x) and g(x) will be

(2x + 3)(x + 5)

=2x (x + 5) + 3 (x + 5)

= 2x² + 10x + 3x + 15

= 2x² + 13x + 15

Here, f(x) and g(x) are the functions having same variables so there product is a quadratic function.

2. Suppose the two linear functions are -

f(x) = 2x + 3 and g (y) = y + 5

The product of f(x) and g(y) will be

(2x + 3)(y + 5)

=2x (y + 5) + 3 (y + 5)

= 2xy + 10x + 3y + 15

Here, f(x) and g(y) are the functions having different variables so there product is a linear function.

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y=1/2x

Hope it helps.

Do comment if you have any query.

Answer:

y=1/2x

Step-by-step explanation:

a. g(3) = -2

b. g is increasing and concave down on the intervals (-3 <= x < 2) and (2 <= x <= 4).

c.  h'(3) = 0

d. The slope of the tangent line to the graph of p at x = -1 is -3.

a. The function g is defined as the definite integral of f(t) with respect to t from -3 to 2. Therefore, g(3) = integral_2^3 f(t) dt. From the graph, we can see that:

Therefore, g(3) = integral_2^3 (-t) dt + integral_2^3 (2t - 8) dt

= -1/2(3^2 - 2^2) + 1/2(3^2 - 2^2 - 8(3 - 2)) = -5/2 + 1/2 = -2.

b. The graph of g is increasing and concave down when the graph of f is concave down and when the definite integral of f is increasing. From the graph of f, we can see that f is concave down on the intervals (-5 <= t < -3) and (2 <= t <= 4). Therefore, g is increasing and concave down on the intervals (-3 <= x < 2) and (2 <= x <= 4).

c. The function h is defined by h(x) = g(x)/5x. To find h'(3), we need to use the quotient rule for derivatives. h'(x) = (5xg'(x) - g(x)5)/5x^2.

Since g(x) = integral_2_-3 f(t) dt, it is not a function of x, so g'(x) = 0. Therefore, h'(3) = (530 - 05)/53^2 = 0.

d. The function p is defined by p(x) = f(x^2 - x). To find the slope of the line tangent to the graph of p at the point where x = -1, we need to find the derivative of p at -1. Using chain rule: p'(x) = f'(x^2-x)(2x-1) so p'(-1) = f'(-1) * (2(-1)-1) = (2(-1) -1) = -3.

Therefore, the slope of the tangent line to the graph of p at x = -1 is -3.

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Answer:

answer is A $435.20

Step-by-step explanation:

I guess I was help full for u

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The correct answer is neither

Answer:

r = 31.85 in    or     100/π

Step-by-step explanation:

area = πd

200 = 3.14d

d = 63.69

r = 1/2d

r = 31.85 in

The discriminant b²-4ac is negative which means that there are no real zeroes of this quadratic equation.

The zeroes of the quadratic equation 6x²-12x+8 are given

by the quadratic formula which is (-b±√(b²-4ac))/2a

where a=6, b=-12 and c=8. The discriminant b²-4ac is negative which means that there are no real zeroes of this quadratic equation.

How do you define a quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0.

However, if you meant to write x³-6x²-x+30 instead of 6x²-12x+8, then the zeroes of this cubic equation are x=2 and x=1/2 1.

And To Find: The value of alpha×beta+beta×gamma+gamma×alpha.

The given polynomial is a polynomial of degree three.

Alpha (α), Beta (β), and Gamma (y) are the three roots of the polynomial.

Sum of roots

= Alpha (α)+Beta (β)+Gamma (y)

= -b/a                  

Sum of the product of two roots

= alpha×beta+beta×gamma+gamma×alpha.

= c/a

Product of roots

=Alpha (α)×Beta (β)×Gamma (y)

=-d/a

Where,

a is the coefficient of x³b is the coefficient of x²c is the coefficient of xd is the constant

According to the question:

alpha×beta+beta×gamma+gamma×alpha.

= c/a

= -1/1

Hence,  the value of alpha×beta+beta×gamma+gamma×alpha is -1

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Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Using the given exponential function, it is found that the number of sales in 2001 was of 327,300.

It models the number of sales S in t years after 2001, given by:

\(S(t) = 372300\left(\frac{6}{5}\right)^t\)

2001 is year 0, hence the amount is given by S(0), that is:

\(S(0) = 372300\left(\frac{6}{5}\right)^0 = 372300\)

The number of sales in 2001 was of 327,300.

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Answer: The answer is 3