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Answer:

19=

2:3=

Step-by-step explanation:

Im not good at explaining things

The expression A=(r+b/4)m  can be solved for r and r = (4A - mb)m after simplification.

the act of expressing or setting forth in words: the free expression of political opinions. a particular word, phrase, or form of words: old-fashioned expressions. the manner or form in which a thing is expressed in words; wording; phrasing: delicacy of expression.

A=(r+b/4)m given:

solve for r.

Now,

A=(r+b/4)m

4A=rm + mb

rm = 4A - mb

r = (4A - mb)m

Thus, the expression A=(r+b/4)m  can be solved for r and r = (4A - mb)m after simplification.

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The value of the given equation  25²x=125 Round to the nearest ten-thousandth  = 0.2000.

A round number is an integer that, in a particular base, terminates with one or more "0s." So, while 590 is rounder than 592, it is less round than 600. In specialist and casual language, a round numeral is usually taken to reflect a value or values near to the nominal value expressed.

given :

25²x=125

simplifying:

25²x=125

(25²)x=125

625x = 125

x = 125/625

x = 0.2000

The value of the given equation  25²x=125 Round to the nearest ten-thousandth  = 0.2000.

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We get the equation in logarithmic form as log₈ 64 = 2

A “logarithmic equation” is an equation which involves the “logarithm” of any expression which is containing a variable.

Now, we have been given an equation:

8² = 64

We need to write it in the logarithm form.

We know that, it will be written as:

log₈ 64 = 2

Since the power goes after the equal sign, so 2 is placed after the equal sign.

The actual value is taken after log, so 64 is placed there and the base number is taken as the base for the log, so 8 is taken as the base for the log.

Therefore, we get the equation in logarithmic form as log₈ 64 = 2

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9 students should there be to clear debris from an average-sized yard in at most 25 minutes.

So,

According to the given table:

Therefore, 9 students should there be to clear debris from an average-sized yard in at most 25 minutes.

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Answer:

b = 14

c = -2

d = 74

Step-by-step explanation:

use calculator

b = 4 - (-10)

c = 6 ÷ (-3)

d = (7×7) + (5×5)

The range of the quadratic function is {y |0 ≤ y < 9}

The range of a function is the set of output values of the graph. This in other words mean the range of a function is the set of y values of the graph.

From the question, we have the following parameters:

Write out the vertex

So, we have

Vertex = (0, 0)

Remove the x value

y = 0

From the question, we have

The parabola opens upward

This means that the vertex is a minimum

So, the range is

y ≥ 0

Rewrite as

0 ≤ y

Recall that:

Closed circle point = (-2, 4)

Open circle point = (3, 9)

Remove the x values

Closed circle point = 4

Open circle point = 9

Remove the smaller y value

Open circle point = 9

This means that the highest value of y is at open circle point = 9

This is represented as

y < 9

So, we have

0 ≤ y and y < 9

Combine both

0 ≤ y < 9

Rewrite properly as

{y |0 ≤ y < 9}

Hence, the range of the quadratic function is {y |0 ≤ y < 9}

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Answer:

the range of the quadratic function is {y |0 ≤ y < 9}

Step-by-step explanation:

i got it right on the test

The function definition is an arithmetic sequence and the value of the function f(6) is -12

The function definition is given as

f(1) = 8

f(n) = f(n + 1) + 4

Rewrite the above function as

f(n + 1) = f(n) - 4

Set n = 1

So, we have

f(1 + 1) = f(1) - 4

This gives

f(2) = f(1) - 4

So, we have

f(2) = 8 - 4

Evaluate

f(2) = 4

Set n = 2

So, we have

f(2 + 1) = f(2) - 4

This gives

f(3) = f(2) - 4

So, we have

f(3) = 4 - 4

Evaluate

f(3) = 0

Set n = 3

So, we have

f(3 + 1) = f(3) - 4

This gives

f(4) = f(3) - 4

So, we have

f(4) = 0 - 4

Evaluate

f(4) = -4

Set n = 4

So, we have

f(4 + 1) = f(4) - 4

This gives

f(5) = f(4) - 4

So, we have

f(5) = -4 - 4

Evaluate

f(5) = -8

Set n = 5

So, we have

f(5 + 1) = f(5) - 4

This gives

f(6) = f(5) - 4

So, we have

f(6) = -8 - 4

Evaluate

f(6) = -12

Hence, the value of the function f(6) is -12

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Answer:

This is the graph on a number line.

Hope it helps.

1. The weekly amount that Natalie will earn will be $679.515.

2. The amount earned in the summer will be $5436.12.

Overtime pay = 1.5 × 15.27 = $22.905

Natalie works as a playground supervisor for 8 weeks during the summer at a rate of $15.27/h.

The weekly amount will be:

= 15.27 × 40 + (3 × $22.905)

= $610.80 + $68.715

= $679.515

The amount earned each summer will be:

= 8($610.80 + $68.715)

= $5436.12

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The number given as 6.961 x 10^27 as a percentage is 6.961 x 10^29%

The number is given as

6.961 x 10^27

To express the number given as 6.961 x 10^27 as a percentage, we simply multiply the number by 100%

So, we have:

6.961 x 10^27 = 6.961 x 10^27 * 100%

Express 100 as 10^2

So, we have:

6.961 x 10^27 = 6.961 x 10^27 * 10^2%

Apply the law of indices, when evaluating the product

So, we have:

6.961 x 10^27 = 6.961 x 10^29%

Hence, the number given as 6.961 x 10^27 as a percentage is 6.961 x 10^29%

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Answer:

1

Step-by-step explanation:

[tex]\sin \frac{180^{\circ}}{2}=\sqrt{\frac{1-\cos 180^{\circ}}{2}} \\ \\ \sin 90^{\circ}=\sqrt{\frac{2}{2}} \\ \\ =1[/tex]

Answer: mean: 32.375 median: 30 mode: 30 range: 39

Step-by-step explanation:

Two angles have sum as 180° called supplementary angle so the measure of angle C m∠C will be 68.68°.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

Given that,

Angle A and angle B are supplementary

Since the supplementary angle has a sum of 180 degrees.

So,

m∠A + m∠B = 180°

16x - 7 + 21x + 2 = 180

16x + 21x + 7 - 2 = 180

37x + 5 = 180

37x = 175

x = 4.78

So,

m∠A = 16(4.78) - 7 = 68.68°

Since m∠C = m∠A

So,

m∠C = 68.68°

Hence"The measure of angle C m∠C will be 68.68° ".

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Answer:

1-10 2-10 5-10 10-10

Step-by-step explanation:

Answer:

78.5

Step-by-step explanation:

How to calculate circumference?? To calculate circumference, you multiply the diameter by pi.

Diameter: 25
Pi: 3.14

25 x 3.14 = 78.5

The circumference is 78.5 inches or just 78.5 if you cant put the inches part

Answer:

333

Step-by-step explanation:

The  swimmer will swim 15.23 cm.

According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.

The formula for the Pythagoras theorem is written as c² = a² + b², where c is the hypotenuse of the right triangle and a and b are its other two legs. As a result, the Pythagoras equation can be used to any triangle that has one angle that is exactly 90 degrees to create a Pythagoras triangle.

Given:

Perpendicular = 14 m

Base = 6 m

Using Pythagoras theorem

H²= P² + B²

H² = 14² + 6²

H² = 196 +36

H² = 232

H= 15.23 cm

Hence, the swimmer will swim 15.23 cm.

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Answer:

Step-by-step explanation:

LCD = 24Equivalent Fractions with the LCD1 1/2=36/243/8=9/245/6=20/243=72/24

A perfect square trinomial is of the form a^2+2ab+b^2. Equate the given expression to the general form. Find the roots for a^2 and b^2 to get the value of a and b. Equate the unknown b term to 2ab to obtain the solution.

9x^2-bx+4

9x^2-bx+4 = a^2+2ab+b^2

a^2 = √9x^2; a = ±3x

b^2 = 4 ; b = ±2

bx = 2ac

-bx = 2(3x.-2)

-bx = -12x ; b= 12

The value of b is 12.

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Answer:

12.5

Step-by-step explanation:

To round to one decimal place you have to round the number to its "tenths". When you are rounding, any number which is 5 or above is rounded to the tenth above or in this situation 6 making it 12.5. But any number below 5 is going to be rounded to the tenth below so if the number was 12.44172 then the answer would 12.4. GL and mb if i messed up.

According to the given data the solution for the given equation 7 x⁻³=25 is 0.65421.

To solve a logarithm, first determine the base, which really is "b" in the equation, the exponent, which is "y," and the exponentially expression, which is "x." Then, move the exponential expression around one side of the equation and transfer the exponent to the base by multiplying the base alone the number of times.

Given  7 x⁻³=25

We know that:

multiplying the both side by x³ we get:

7 x⁻³=25

7 = 25x³

x³ = 7/25

x = ∛(7/25)

0.65421

The solution for the given equation 7 x⁻³=25 is 0.65421.

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The percent error that has resulted from the student's assumption is 0.5%.

The percent error is used to calculate the percentage error between an experimental measured value and a theoretical actual value.

Percentage error formula = |E-T|/|T| x 100

where E is the experimental value and T is the theoretical value.

Given, the experimental measured value (E) = 100.5 ml and theoretical actual value (T) = 100.0 ml

By using the Percentage error formula, simply put the value of the capacity of the test tube which was found by the student as an experimental measured value and real capacity of the test tube as a theoretical actual value, we get

=|(100.5−100.0)||100.0| × 100

=0.5/100×100

=0.005×100

=0.5%

=0.5% error

∴ 0.5% error has resulted from the student's assumption.

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If we divide five hundred and thirty two by four using long division method, we obtain one hundred and thirty three.

The term long division implies dividing repeatedly until we are able to arrive at the final result. In this case, we are asked to carry out the division of 532÷4 using long division.

First we have to divide the digits one after the other. This process is a bit iterative and takes a little time for us to do in the process of the long division.

Now; when we divide five by 4 we obtain one remainder one we then add the one that remains to thirty two and we have one hundred and thirty two.

Then we divide one hundred and thirty two by four, we can see that there are thirty three fours in one hundred and thirty two. The final result of our long division now becomes one hundred and thirty three.

Thus, if we divide five hundred and thirty two by four using long division method, we obtain one hundred and thirty three.

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The rate which the mulch is being applied is 250,000 cm^3/cm^2

The statement is given as

Rita is applying 250,000 cm^3 of mulch per m^2 of the garden space

This means that the rate is

Rate = Volume of mulch/Area of garden space

Substitute the known values in the above equation

So, we have

Rate = 250,000 cm^3/cm^2

Hence, the rate which the mulch is being applied is 250,000 cm^3/cm^2

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[Mathematical Problem]

[tex]9.14[/tex] ÷ [tex]0.04[/tex]

Solution:

[tex]228.5[/tex]

Hope this helps! Thanks and good luck!

The exponential form of the function 5 = log₂ₓ₊₁(a₊b) is (2x ₊ 1)⁵ = (a₊b).

Given the function is:5 =  log₂ₓ₊₁ (a₊b)

we are asked to determine the exponential form of the above function.

The exponential form is an easier way to represent repeated multiplication involving exponents and bases.

It is easy to quickly convert an exponentially written expression into a logarithm using the following formula.

here we have the form loge b  =a5 =  log₂ₓ₊₁(a₊b)

then, e = 2 , a = 5 and

b = (a₊b)5 =  log₂ₓ₊₁(a₊b)

therefore, exponential form is:

(2x ₊ 1)⁵ = (a₊b).

hence we get the required exponential form as (2x ₊ 1)⁵ = (a₊b).

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