If g(x)=(1/4)^x, find g(-3)

Answer:

Step-by-step explanation:

Go down the rabit hole and go up the rabitt hole that there is your answer i know because im smart

If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 8% interest, the immediate effect on the money supply is B. It is decreased by $60,000.

One of the monetary factors that decreases the money supply in the economic is when the Federal Reserve raises the banks' reserve requirements.

Another factor that can decrease the money supply is the sale of treasury bonds to banks.

Raising the interest rates also decreases the money supply.

Thus, by selling $60,000 in Treasury bonds to a bank at 8% interest, it decreases the money supply.

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Answer:

138,488

Step-by-step explanation:

To find the population of the city in 19 years, we can use the formula for compound interest:

Population = Initial Population × (1 + Growth Rate)^Number of Years

Given that the initial population is 100,000 and the growth rate is 2% per year, we can plug in these values into the formula:

Population = 100,000 × (1 + 0.02)^19

Calculating this expression:

Population = 100,000 × (1.02)^19 ≈ 138,488.12

Rounding this to the nearest whole number, the population of the city in 19 years would be approximately 138,488.

Therefore, the population of the city in 19 years, rounding to the nearest whole number, is 138,488.

Answer:

No

Step-by-step explanation:

10 is not less than 6, so 10 < r when r=6 is not true.

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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The volume of the cone will be 21 cubic units.

Volume is defined as the space occupied by any object in the three dimensions. All three parameters are required for the volume like length, width, and height of the cube.

The formula for the volume of a cone is ⅓ r²h cubic units, where r is the radius of the circular base and h is the height of the cone.

Volume = ⅓ r²h

Volume = ⅓ x x 2² x  5

Volume = 21 cubic units

Therefore, the volume for the given shape of the cone will be 21 cubic units.

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Answer:

Z score is a statistical that corresponds to the standarization of the regular score to a normal dsitribution

The formula for Z score is Z = [X - mean ]./ (standar deviation)

Here X = 930.00; mean = 900.00; and standard deviation = 15.00

Then, Z = [930.00 - 900.00] / 15.00 = 30.00 / 15.00 = 2.00

Answer: 2.00

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

because Multiply 2 and 5 to get 10.

10−4×3

Multiply 4 and 3 to get 12.

10−12

Subtract 12 from 10 to get −2.

−2

Answer:

11.904%

Step-by-step explanation:

50/420=0.11904

To convert a decimal into a percent move the decimal point 2 places to the left.

11.904%

Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

The dimensions of the rectangle are 63 inches and 16 inches.

Let the width of the rectangle be 'x' inches.

From the given condition, we can say,

Length of the rectangle = 31 + 2*x

Diagonal of the rectangle = 2 + Length of the rectangle = 2 + (31 + 2*x)

                                                                                             = 2*x + 33

Since the rectangle makes an angle of 90° at the sides, the diagonal, and the sides of the rectangle form a right-angle triangle, the diagonal being the hypotenuse.

Applying Pythagoras theorem for width, length, and diagonal of the rectangle, we get,

\((2x + 33)^{2} = x^{2} + (31 + 2x)^{2}\)

Since, \([(a+b)^{2} = a^{2} +b^{2} +2*a*b]\)

\(4x^{2} +33^{2} +2*2x*33 = x^{2} +4x^{2} +31^{2} +2*2x*31\)

\(33^{2} - 31^{2} + 8x = x^{2}\)  

\(x^{2} - 8x - 128 =0\)

\(x^{2} +8x-16x-128=0\)

\(x(x+8) - 16(x+8)=0\)

(x+8)(x-16) = 0

x = -8, 16

Since x is a measure of width, it cannot be negative.

Hence, x = 16

Width = 16

Length = 2x+31 = 2*16 + 31 = 63

Therefore, the dimensions of the rectangle are 63 inches and 16 inches.

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

You have the two numbers, so 36/60 is the ratio of boys to girls.

Step-by-step explanation:

You will want to simplify those numbers (reduce to lowest terms).

Answer:

One of them is 6 - 10

Step-by-step explanation:

36/6 = 6

60/6 = 10

6 boys - 10 girls

Answer:

the answer would be C

Step-by-step explanation:

if you replace y with 5 and x with -3 they should make the equations "solvable"

Answer:

5

8

20

Step-by-step explanation:

Answer:

Base: 6 units. Height: 4 units. Area: 24 units.

Step-by-step explanation:

To find the base of the parallelogram, it is literally the bottom line of the parallelogram. In this case, it is the line below the x-axis that is also parallel to it. To find the length of the base line, just count the squares between both ends of the line. There are 6 squares, so the base is 6 units long. To find the height of the parallelogram, you count the squares (units) between the bottom and top lines of the parallelogram, both parallel to the x-axis. There are 4 squares between the lines, so the height of the parallelogram is 4 units. To find the area of a parallelogram, multiply the base by the height. 6 * 4 = 24, so the area of the parallelogram is 24 units.

The new dimension of the rectangular field are 45 ft by 120ft.

If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:

lenght = K*L

width = K*W

In this case the original dimensions are:

L = 30ft

W = 80ft

And the scale factor is K = 1.5, then the new dimensions are:

L' = 1.5*30ft = 45ft

W' = 1.5*80ft = 120ft

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Answer:

If it's the hour hand, 1/4 of a day or 6 hours have passed. If it's the minute hand, 1/48 of a day or 30 minutes have passed.

Step-by-step explanation:

BRAINLIEST, PLEASE!

The sec 132 degrees 15 minutes in degrees is approximately -1.638 degrees.

The secant function, denoted as sec(x), is a trigonometric function that is defined as the reciprocal of the cosine function, cos(x).

In other words,

sec(x) = 1 / cos(x)

The secant function is defined for all values of x except for those where the cosine function is equal to zero, which corresponds to the values x = (2n+1)π/2 where n is an integer. At these points, the secant function is undefined.

To convert sec(132 degrees 15 minutes) to degrees, we first need to convert the angle to decimal degrees.

We know that 1 degree is equal to 60 minutes, so 15 minutes is equal to 15/60 = 0.25 degrees.

Therefore, the angle 132 degrees 15 minutes is equal to 132 + 0.25 = 132.25 degrees.

Now we can find the secant of this angle:

sec(132.25 degrees) = 1/cos(132.25 degrees) ≈ -1.638

So the answer is approximately -1.638 degrees.

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Answer:

24.32x10^8

Step-by-step explanation:

3.8x10^2 and 6.4x10^6

Put in expression.

(3.8x10^2)+(6.4x10^6)

Remover parenthesis.

3.8x10^2+6.4x10^6

Rearrange so like terms are together.

(3.8x6.4)+(10^2x10^6)

Then combine like terms.

24.32x10^8

So that's the answer.

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hope it helps

Answer:

Positive

Step-by-step explanation:

Answer: it was be cos4

Step-by-step explanation: 1/2 divided by 3/4 = cos4

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

The fully simplified product of (b minus 2 c)(negative 3 b + c) can be found by using the distributive property and combining like terms. The product is -3b^2 + 7bc - 2c^2, which has 3 terms.

Therefore, the statement "The simplified product has 2 terms" is false and the statement "The simplified product has 4 terms" is also false. The degree of each term is the sum of the exponents of the variables,

so the degree of the product is the highest degree among the terms. In this case, the highest degree is 2, which means that the statement "The simplified product has a degree of 2" is true and the statement "The simplified product has a degree of 4" is false.

Lastly, we can count the number of negative terms in the product to determine if the statement "The simplified product, in standard form, has exactly 2 negative terms" is true. We see that there are two negative terms, -3b^2 and -2c^2, so this statement is true.

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The domain and the range of y = 12x - 36 are the set of all real numbers

From the question, we have the following parameters that can be used in our computation:

y = 12x - 36

There is no restriction on the input values, x

So, the domain of y = 12x - 35 is all real numbers, since there is no restriction on the input (x).

The range of y = 12x - 35 is also all real numbers, since the output (y) can be any real value, depending on the input (x).

This can be seen by considering that for any real number x, the output y = 12x - 35 will also be a real number.

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Complete question

What is the Domain of y = 12x - 36

x > 3 ,

-3 ≤ x ≤ 3,

all real numbers

Also, determine the range

Answer: x = 6.32 or -0.32

Step-by-step explanation:

2x² - 6x + 10  = 0

No we divide the expression by 2 to make the coefficient of x² equals 1

We now have

x² - 3x + 5     = 0

Now we remove 5 to the other side of the equation

x² - 3x          = -5

we add to both side square of  half the coefficient of x which is 3

x² - 3x + ( ⁻³/₂)²  = -5 + (⁻³/₂)²

(x  -  ³/₂)²           = -5 + ⁹/₄

Resolve into fraction

(x  - ³/₂)²             = ⁻¹¹/4

Take the roots of the equation

 x - ³/₂               = √¹¹/₄

 x - ³/₂               = √11/₂

x                       = ³/₂ ± 3.32/₂

                         = 3+ 3.32 or 3 - 3.32

                         =  6.32 or - 0.32

Answer:

3/1

Step-by-step explanation:

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Answer: 4

Step-by-step explanation:

Answer:

The 3 is in the ten thousands place.

3 is 30 thousand

2 is 2 thousand

8 is 8 hundred

4 is 4 tens

0 is 0 ones

Answer:

The 3 is in the hundred-thousands

Step-by-step explanation:

the difference of two squares, you will use the formula. answers are (x + y)(x - y), (x + 4)(x - 4), (a + 5)(a - 5), (x + 11)(x - 11), (15 + a)(15 - a), (20 + y)(20 - y), (30 + z)(30 - z), (2x + 7)(2x - 7), (4x + 5)(4x - 5), 8(3x + 4)(3x - 4), (8 + a)(8 - a),8(3x + 4)(3x - 4), (5a + 4)(5a - 4), 9(a + 9)(a - 9), (7a + 2)(7a - 2), (10x + 3)(10x - 3), (8x + 5)(8x - 5),4(6x + 5)(6x - 5), 25(x + y)(x - y)

what is formula ?

A formula is a mathematical equation or expression that is used to solve a specific problem or perform a specific calculation. Formulas are often used in mathematics, physics, chemistry, engineering, and other fields to express a relationship between different variables or quantities.

In the given question,

Sure! To solve by finding the difference of two squares, you will use the formula:

a² - b² = (a + b)(a - b)

Using this formula, we can simplify the expressions given:

x² - y² = (x + y)(x - y)

=>  (x + y)(x - y) =0

=>  (x + y)=0    , (x - y)=0

=> x = -y   ,x = y

x² - 16 = (x + 4)(x - 4)

=>  (x + 4)(x - 4) =0

=>  (x + 4)=0    , (x - 4)=0

=> x = -4   ,x = 4

a² - b² = (a + b)(a - b)

a² - 25 = (a + 5)(a - 5)

x² - 121 = (x + 11)(x - 11)

225 - a² = (15 + a)(15 - a)

400 - y² = (20 + y)(20 - y)

900 - z² = (30 + z)(30 - z)

4x² - 49 = (2x + 7)(2x - 7)

16x² - 25 = (4x + 5)(4x - 5)

36x² - 64 = (6x + 8)(6x - 8) = 8(3x + 4)(3x - 4)

64 - a² = (8 + a)(8 - a)

36x² - 64 = (6x + 8)(6x - 8) = 8(3x + 4)(3x - 4)

25a² - 16 = (5a + 4)(5a - 4)

9a² - 81 = 9(a + 9)(a - 9)

49a² - 4 = (7a + 2)(7a - 2)

100x² - 9 = (10x + 3)(10x - 3)

64x² - 25 = (8x + 5)(8x - 5)

144x² - 100 = 4(6x + 5)(6x - 5)

25x² - 25y² = 25(x + y)(x - y)

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Answer:

1. x^2 - y^2 = (x+y)(x-y)

2. x^2 - 16 = (x+4)(x-4)

3. a^2 - b^2 = (a+b)(a-b)

4. a^2 - 25 = (a+5)(a-5)

5. x^2 - 121 = (x+11)(x-11)

6. 225 - a^2 = (15+a)(15-a)

7. 400 - y^2 = (20+y)(20-y)

8. 900 - z^2 = (30+z)(30-z)

9. 4x^2 - 49 = (2x+7)(2x-7)

10. 16x^2 - 25 = (4x+5)(4x-5)

11. 36x^2 - 64 = 4(3x+4)(3x-4) or (6x+8)(6x-8)

12. 64 - a^2 = (8+a)(8-a)

13. 36x^2 - 64 = (6x+8)(6x-8) or 4(3x+4)(3x-4)

14. 25a^2 - 16 = (5a+4)(5a-4)

15. 9a^2 - 81 = 9(a+3)(a-3)

16. 49a^2 - 4 = (7a+2)(7a-2)

17. 100x^2 - 9 = (10x+3)(10x-3)

18. 64x^2 - 25 = (8x+5)(8x-5)

19. 144x^2 - 100 = 4(6x+5)(6x-5) or (12x+5)(12x-5)

20. 25x^2 - 25y^2 = 25(x+y)(x-y)

Step-by-step explanation:

:)