1.
Given R (7,-1), A(3,-6),B(-3, -6), E(-5,4), plot the points and trace the
figure.

The solution of the logarithm equation are as follows:

a. l = 100000

b. l = 1000000

Any equation in the variable x that contains a logarithm is called a logarithmic equation.

Let's solve the logarithm equation as follows:

a.

50  = 10 log₁₀ l

Using logarithm law,

50  = 10 log₁₀ l

50  = log₁₀ l¹⁰

10⁵⁰ = l¹⁰

multiply both sides of the exponents by 1 / 10

Hence,

l = 10⁵

Hence, the value of  l = 100000

b.

60 = 10 log₁₀ I

Using logarithm rule,

60 = 10 log₁₀ I

60 = log₁₀ l¹⁰

10⁶⁰ = l¹⁰

multiply both sides of the exponents by 1 / 10

l = 10⁶

Hence, the value of  l = 1000000

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Answer:

18

Step-by-step explanation:

90 degree angle so

90-54=36

36 / 2 = 18

Answer:A General Note: Rate of Change

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

Step-by-step explanation:

Answer:

17. 25 \(in^2\)

18. 53 \(m^2\)

19. 21.6 \(cm^2\)

20. 20.8 \(km^2\)

Step-by-step explanation:

The area of a parallelogram is simply the base multiplied by the height.

17.

Base = 5 in

Height = 5 in

Area = Base * Height

Area = 5 * 5

Area = 25 \(in^2\)

18.

Base = 10 m

Height = 5.3 m

Area = Base * Height

Area = 10 * 5.3

Area = 53 \(m^2\)

19.

Base = 5.4 cm

Height = 4 cm

Area = Base * Height

Area = 5.4 * 4

Area = 21.6 \(cm^2\)

20.

Base = 5.2 km

Height = 4 km

Area = Base * Height

Area = 5.2 * 4

Area = 20.8 \(km^2\)

Answer:

15/8

Step-by-step explanation:

tanC = opposite/adjacent = 15/8

Percent represents the fraction of the box filled with packing peanuts is 0.8.

4/5, you divide 5 from 4 and get 0.8

What is fraction?

A fraction represents a portion of a whole. This whole can be a region or a grouping. The term "fraction" comes from the Latin word "fraction," which means "to break." The Egyptians, the first civilization to study fractions, used fractions to solve mathematical problems such as

. Fractions were originally written in India with one number above another (numerator and denominator), but without a line..

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Answer:

55%

Step-by-step explanation:

He gave 1/5 + 1/4 to his friends which is equal to 9/20 = 45/100 = 45%

The rest he gave to his aunt. (100-45)% = 55%

Answer:

The circle graph does not represent a function because it doesn't pass the vertical line test.

Step-by-step explanation:

Step-by-step explanation:

15% of 7,000

\( \frac{15}{100} \times 7000\)

\( = 15 \times70\)

\( = 1050\)

Answer:

Statistical questions are asking for ABOUT how much not an exact amount or number.

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

Answer:

Slope : 2

slope-intercept: y = 2x + 6

Point-slope (as asked): y - 4 = 2 (times) (x + 1)

standered: 2x - y = -6

Step-by-step explanation:

Answer:

y=2x-2

Step-by-step explanation:

Isolate y :3y=6x-6

Then divide both sides by 3:

y=2x-2

Amount small dog is fed is 3/5 of 2 1/2

to find 3/5 of 2.5

multiply

( 3 * 2.5 )/5

7.5/5 = 1.5

Hope this helps :)

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- Jeron

Answer:

\(g(x) = 30\cdot x +40\); \(a \approx 1.898\), \(k = 40\).

Step-by-step explanation:

The resultant function is obtained by multiplying \(f(x)\) by a real number \(k\). That is:

\(g(x) = k \cdot f (x)\)

If \(k = 5\) and \(f(x) = 6\cdot x + 8\), then \(g(x)\) is:

\(g(x) = 5\cdot (6\cdot x + 8)\)

\(g(x) = 30\cdot x +40\)

Given that presence of the expression \(g(x) = 6^{a}\cdot x + k\), then:

\(6^{a} = 30\) and \(k = 40\)

The value of a is obtained by applying the definition of logarithms:

\(a = \log_{6}30\)

\(a \approx 1.898\)

Finally, the value of k is found by direct comparison:

\(k = 40\)

Answer: 1/5 and 8

Step-by-step explanation:

Answer:

jonny is the winner.

Step-by-step explanation:

No. of wins harry has = 0.4

No. of wins krish has = 0.2

No. of wins jonny has = 0.3

To find the prbability of harry and jonny = 0.4 + 0.3

                                                                  =  0.7

Now to see who wins we have to add krish's wins and harry's win, because harry has the greatest number of wins.

krish = 0.2

harry = 0.4

        =  0.6

now we have all three's score, so we will now see which is the greatest number.

krish= 0.6

harry = 0.4

jonny = 0.7

The greatest number is 0.7.

Hence, jonny is the winner!

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Answer:

He can grade 1.25 assignments in 1 minute.

Step-by-step explanation:

Because the teacher can grade 25 assignments in 20 minutes, we can dive 25 by 20 to get the constant rate.

\(25/20\\1.25\)

So he can grade 1.25 assignments in 1 minute.

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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If two adjacent sides of a parallelogram are equal in length, then it will be a rhombus because all sides of it will be equal

From the given picture we can see a parallelogram with 4 equal sides, then

The best name describes it is a rhombus

In the rhombus

Every 2 adjacent angles are supplementary (their sum = 180 degrees)

Then the angle that measures 116 degrees and angles 1 and 2 are supplementary because they are adjacent angles

Subtract 116 from both sides

Since the diagonal of the rhombus bisects the vertices' angles

Since the opposite angles in the rhombus are equal in measure, then

Divide the sum of <1 and <2 by 2 to find the measure of each angle

The measure of the numbered angles is 32 degrees

By solving an expression, we can find that the number of packs of paper that each classroom should get is 10/3.

Expressions are mathematical statements that comprise either numbers, variables, or both and at least two terms associated by an operator. Addition, subtraction, multiplication, and division are examples of mathematical operations. An example is the expression x + y, which combines the terms x and y with an addition operator. In mathematics, there are two different types of expressions: algebraic expressions, which also include variables, and numerical expressions, which solely comprise numbers.

Given,

Number of classrooms= 3

Number of packs of paper= 10

Now let the number of packs of paper per class be x.

x= Number of packs of paper/Number of classrooms

 = 10/3.

Therefore, each classroom will get 10/3 packs of paper.

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An exterior angle of a triangle is equal to the sum of the opposite interior angles.

⇢∠V + ∠T = ∠x

⇢53° + 103° = 156°

⇢∠VUX = 156°

‌

‌

Hence , option b is the correct answer.

Answer:

B) 156 is correct

Hope it helps

(A) The range and IQR for boxplot 1 is 10 and 6 respectively.

(B) The range and IQR for boxplot 2 is 12 and 7 respectively.

The interquartile range defines the difference between the third and the first quartile.

The formula for the interquartile range is given below.

Interquartile range = Upper Quartile – Lower Quartile = Q­3 – Q­1

The range is the difference between the lowest and highest values.

The formula for the interquartile range is given below.

Range = Maximum – Minimum

(A) For boxplot 1, we need to find the range and IQR from the given data set.

So, let 34 be the maximum and 24 be the minimum.

\(\text{Range}=\sf 34-24\)

\(\text{Range}=\sf10\)

Therefore, the range is 10.

Now time to find the IQR.

So, let 33 be Q3 and 27 be Q1.

\(\text{IQR}=\sf 33-27\)

\(\text{IQR}=\sf 6\)

Therefore, the IQR is 6.

(B) Now for boxplot 2, we will do the same thing as from part A.

Let's find the range.

So, let 24 be the maximum and 12 be the minimum.

\(\text{Range}=\sf 24-12\)

\(\text{Range}=\sf12\)

Hence, the range is 12.

Now for the IQR.

So, let 22 be Q3 and 15 be Q1.

\(\text{IQR}=\sf 22-15\)

\(\text{IQR}=\sf 7\)

Hence, the IQR is 7.

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The correct answer is C), because it is possible to create an economic model describing the relationship between fertilizer usage and yield.

The economic model would take into account the nonlinear relationship, which is shown in the graph. Specifically, the slope of the curve between one and two tons of fertilizer is approximately 2 (change in yield divided by change in fertilizer usage). This means that for every ton of fertilizer used, the yield increases by two (change in yield / change in fertilizer usage = 2). Although using more than three tons of fertilizer has minimal effect on yield, the economic model would still take this into account and provide a more accurate representation of the relationship between the two variables.

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The value of x is 63

To determine the value of the variable, we have that;

From the information given, we have that;

x and x - 36 are complementary angles

Now, equate the angles to 90 degrees, we have;

x + x - 36= 90

collect the like terms, we get;

2x = 90 + 36

add the terms

2x =1 26

Divide by the coefficient

x = 63

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Complete question:

The angles X,(x-36)  are complementary. What is the value of x