Can someone tell me the answer and also explain please, i have an examn tmrw and still dont understand

Answer:

The fourth choice.

Step-by-step explanation:

An exponential function passes through (3, 5) and (4, 10).

And we want to determine which other point is also on the graph.

First, we can find the exponential function. A standard exponential function is in the form:

\(y=a(b)^x\)

The point (3, 5) tells us that y = 5 when x = 3. Thus:

\(5=a(b)^3\)

The point (4, 10) tells us that y = 10 when x = 4. Thus:

\(10=a(b)^4\)

In the first equation, we can divide both sides by a:

\(\displaystyle \frac{5}{a}=b^3\)

And we can rewrite the second equation:

\(\displaystyle 2(5)=a(b^4)\Rightarrow 2\Big(\frac{5}{a}\Big)=b^4\)

Substitute:

\(2b^3=b^4\)

Divide:

\(b=2\)

Using the first equation again, substitute:

\(5=a(2)^3\)

Simplify and solve:

\(5=a(8)\Rightarrow \displaystyle a=\frac{5}{8}\)

So, our exponential function is:

\(\displaystyle y=\frac{5}{8}(2)^x\)

Next, we can simply try each point and see which point is correct.

Testing the first point (remember that (2,0) means that y = 0 when x = 2):

\(\displaystyle 0\stackrel{?}{=}\frac{5}{8}(2)^0=\frac{5}{8}(1)=\frac{5}{8}\neq 0\)

Testing the second point:

\(\displaystyle 1\stackrel{?}{=}\frac{5}{8}(2)^2=\frac{5}{8}(4)=\frac{5}{2}\neq 1\)

The third point:

\(\displaystyle 15\stackrel{?}{=}\frac{5}{8}(2)^5=\frac{5}{8}(32)=5(4)=20\neq 15\)

And the fourth point:

\(\displaystyle 20\stackrel{?}{=}\frac{5}{8}(2)^5=\frac{5}{8}(32)=5(4)=20\stackrel{\checkmark}{=}20\)

Therefore, D is the correct choice.

Answer:

(2,0)

Step-by-step explanation:

The answer is (2,0) because the number line passes through that point

Here are the factored expressions for the given expressions:

Factored expression: 3(2r^2 - rs - s^2)

Factored expression: x(2x + 3)(3x - 4)

Factored expression: 8mn^2(m - n)(m - 3n)

To factor these expressions, we need to find the common factors among the terms in each expression and factor them out.

6r^2 - 3rs - 3s^2

First, we notice that all three terms have a common factor of 3. We can factor it out:

3(2r^2 - rs - s^2)

The quadratic expression inside the parentheses cannot be factored further using integers, so the factored expression is:

3(2r^2 - rs - s^2)

6x^3 - x^2 - 12x

In this expression, we can factor out x:

x(6x^2 - x - 12)

Now, we can factor the quadratic expression inside the parentheses:

x(2x + 3)(3x - 4)

So, the factored expression is:

x(2x + 3)(3x - 4)

8m^3n^2 - 32m^2n^3 + 24mn^4

In this expression, we can factor out 8mn^2:

8mn^2(m^2 - 4mn + 3n^2)

Now, we can factor the quadratic expression inside the parentheses:

8mn^2(m - n)(m - 3n)

So, the factored expression is:

8mn^2(m - n)(m - 3n)

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Answer:

52% or 13/25

Step-by-step explanation:

100%-48% is 52%

And for the fraction its 52/100 then simplified to 13/25

Answer: 13/25

Step-by-step explanation: You have 48/100 and need 52/100 to make the whole 100%

Simplify 52/1100

Yes, ΔQRS  can be translate to so that Q is mapped to point A, then reflect across line containing QS.

we have two triangles ΔQRS and ΔABC in which we have ,

QR=AB = 16 cm

RS=BC= 24 cm

∠R=∠B=90°

By SAS postulate of congruence , ΔQRS ≅ ΔABC.

There are three main rigid transformations which produces congruent images.

1) Translations 2) Rotation 3) Reflection

When we look the given picture, it can be seen that ΔABC is the mirror image of ΔQRS.

But line QS is at some distance from AC , so we first translate ΔQRS to so that Q is mapped to point A, then reflect across line containing QS.

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There are 1144 hands of three cards dealt from a standard deck that contains cards from only one suit.

To calculate the number of hands of three cards dealt from a standard deck that contains cards from only one suit, we can use the following approach:

Choose one of the four suits - this can be done in 4 ways.

Choose three cards from the chosen suit - this can be done in (13 choose 3) ways.

As we have only one suit in our hand, we cannot choose any cards from the other three suits.

Therefore, the total number of hands of three cards that contain cards from only one suit is:

4 * (13 choose 3) = 4 * (286) = 1144

Hence, there are 1144 hands of three cards dealt from a standard deck that contains cards from only one suit.

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The number of adults in the museum, using the fractional value of girls and boys, is 75.

A fractional value refers to a portion of the total value.

A fractional value can be depicted in fractions, decimals, or percentages.

A fractional value can also be represented as a ratio or proportion.

In this situation, the fractional number of adults is determined using subtraction.

The total number of people in a museum = 250

The fraction of girls in the museum = 2/5

2/5 of 250 = 100 girls

The fraction of boys in the museum = 3/10

3/10 of 250 = 75

Alternatively:

2/5 + 3/10 = 7/10

7/10 of 250 = 175

Therefore, the number of adults = 75 [250 - (100 + 75)]

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There are 250 people in the museum.

2/5 of the 250 people are girls.

3/10 out of the 250 people are boys.

The rest of the 250 people are adults.

Work out the number of adults in the museum.

x = ㏑₂8 in the logarithmic function.

A logarithmic function is the inverse of an exponential function.

Given  function if f(x) = \(2^{x}\),

When strength is equal to 8 pascals, f(x) = 8

Therefore, 8 = \(2^{x}\)

Taking log on both sides:

                 ln8 = ln\(2^{x}\)

                 ln8 = xln2

       or         x  = ln8/ln2

                    x = ㏑₂8

Hence, the required function is x = ㏑₂8.

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Step-by-step explanation:

since the pond is circular, its area will be πr².

a= πr², where r= 7ft

1 m ≈ 3.2808 ft

3.2808 ft ≈ 1 m

1 ft = 1/3.2808

7 ft = 1/3.2808 * 7

= 2.13362.. m

a= πr²

a= 3.14 * ( 2.13362...)2

a= 3.14 * 4.5523596...

a= 14.2944..

a= 10.0 m² (rounded to nearest tenth)

is the question right?

Area of circle is pi times its radius squared. The area of the circular pond in consideration is 14.29 square meters approximately.

Area of that circular shaped object with radius r units is given by:

\(A = \pi \times r^2 \: \rm unit^2\)

For the given case, we've got a circular pond with a radius of 7 ft.

Since 1 m ≈ 3.2808 ft, thus,

dividing both the sides by 3.2808, we get

\(\rm 1\: ft \approx \dfrac{1}{3.2808} \: \rm meter\\\\\text{Multiplying 7 on both the sides}\\\\7 \: ft \approx \dfrac{7}{3.2808} \: meters \approx 2.1336 \: \rm meters\)

Therefore, the radius of the considered circular pond is approximately 2.1336 meters.

Using the formula for area of circle to find the area of circular pond, we get:

\(A = \pi \times r^2 \: \rm unit^2\\\\A \approx 3.14 \times (2.1336)^2 \approx 14.294 \: \rm meter^2\)

14.294 rounded to nearest hundredth would be 14.29

(after decimal point, the first place is tenth place, the second digit in right is hundredth place, and so on, \(x^{th}\) place is \(10^x\)th  place).

Thus, the area of the circular pond in consideration is 14.29 square meters approximately.

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The two column proof procedure below has shown that  ΔABE ≅ ΔACD by SAS Congruency Postulate

To prove that ΔABE ≅ ΔACD, we will use a two column proof procedure for congruency.

Statement 1; AD ≅ AE

Reason 1; Given

Statement 2; ∠ABC ≅ ∠ACB

Reason 2; Given

Statement 3; AC ≅ AB

Reason 3; Definition of Isosceles Triangles

Statement 4; ΔABE ≅ ΔACD

Reason 4; SAS Congruency Postulate

Both triangles share the included angle A.

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Answer:

So, the scale is basically what numbers you use and how far apart you put them.

To make a scale on the x-axis for your histogram, you need to figure out what range of numbers would be best to use. This might be 1 through 10, or 0 through 100, or maybe even fifty through eighty.

It could be anything. It all depends on how high your highest given data number is, and how low your lowest given data number is.

Attached is an example of a histogram. Its scale is 0 through 25.

This is just an example, and you have to decide the best numbers for your histogram.

The values of the probabilities are P(u or v) = 0.63, P(u and v) = 0 and P(u|v) = 0

The probabilities are given as:

P(U) = 0.26

P(V) = 0.37

For mutually exclusive events, we have

P(u or v) = P(u) + P(v)

So, we have

P(u or v) = 0.26 + 0.37

P(u or v) = 0.63

Also, we have:

P(u and v) = 0

Finally, we have:

P(u|v) = 0

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The mean absolute deviation (MAD) and mean absolute percent error (MAPE) are both measures used to assess the accuracy or variability of a dataset. However, they differ in terms of the type of data they analyze and the way they express the deviation.

Mean Absolute Deviation (MAD):

MAD measures the average absolute difference between each data point and the mean of the dataset.

It provides information about the dispersion or spread of the data.

MAD is calculated by taking the absolute value of the differences between each data point and the mean, summing these values, and then dividing by the total number of data points.

MAD is expressed in the same units as the original data.

Mean Absolute Percent Error (MAPE):

MAPE measures the average percentage difference between each data point and its corresponding value in a reference dataset (often a forecast or predicted value).

It provides information about the relative error or accuracy of a model or prediction.

MAPE is calculated by taking the absolute value of the percentage difference between each data point and its corresponding reference value, summing these values, and then dividing by the total number of data points.

MAPE is expressed as a percentage.

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However, there is not enough information to determine the exact value of x. It could be any number between 92 and 105 (inclusive) that fits the pattern of the sequence.

In mathematics and computer science, a sequence is an ordered list of objects, often numbers or other mathematical objects. The objects in a sequence are usually indexed by natural numbers, which means that each object has a unique position or "index" in the sequence.

A sequence can be finite, meaning that it has a specific number of elements, or it can be infinite, meaning that it goes on forever. Examples of finite sequences include the list of the first ten prime numbers or the sequence of the letters in the word "hello". An example of an infinite sequence is the sequence of all positive integers.

It is not clear what the notation with the asterisks means. However, assuming that the asterisks denote missing numbers in a sequence, we can use some logic to determine the value of x.

If we arrange the numbers in ascending order, we get:

87*, x*, 92*, 105*, 135*

Since the numbers are in ascending order, we know that x must be greater than or equal to 92 and less than or equal to 105.

However, there is not enough information to determine the exact value of x. It could be any number between 92 and 105 (inclusive) that fits the pattern of the sequence.

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The complete question is: Find the value of x.

87*, x*, 92*, 135*, 105

To find the break-even point, we need to find the point where the cost function and revenue function intersect, since at that point the profit will be zero.

So, we set the cost function equal to the revenue function:

180x + 8400 = 210x

Simplifying:

30x = 8400

x = 280

Therefore, the break-even point is at x = 280. To find the coordinates, we need to plug this value into either the cost or revenue function:

c(280) = 180(280) + 8400 = 50400

r(280) = 210(280) = 58800

So the break-even point is (280, 50400).
To find the coordinates of the break-even point, we need to determine the value of x when the cost of production (c(x)) is equal to the revenue (r(x)). In other words, we need to solve the equation c(x) = r(x).

Step 1: Set c(x) equal to r(x)
180x + 8400 = 210x

Step 2: Rearrange the equation to solve for x
210x - 180x = 8400
30x = 8400

Step 3: Divide both sides by 30 to find x
x = 8400 / 30
x = 280

Step 4: Find the break-even revenue by plugging x into either the cost or revenue function (we'll use r(x))
r(280) = 210 * 280 = 58800

So, the coordinates of the break-even point are (280, 58800), where 280 represents the number of cell phones produced and 58800 is the revenue generated.

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Answer:

triangular prism

Step-by-step explanation:

the name of the solid is ussualy the base  of the shape

Answer:

A

Step-by-step explanation:

The theoretical yield of the desired product can be calculated by considering the stoichiometry of the reaction and the amount of starting material (salicylic acid).

To calculate the theoretical yield, we need to determine the balanced chemical equation for the reaction involving salicylic acid and the desired product. Let's assume the reaction is as follows:

Salicylic acid + Reagent → Desired product + Byproduct

Given the amount of salicylic acid, we can convert it to moles using its molar mass. Then, using the balanced chemical equation, we can determine the stoichiometric ratio between salicylic acid and the desired product. Multiplying the number of moles of salicylic acid by this ratio will give us the theoretical yield in moles. Finally, we can convert the moles of the desired product to grams using its molar mass.

The theoretical yield of the desired product can be calculated by considering the stoichiometry of the reaction and the amount of starting material (salicylic acid). By following the steps outlined above, you can determine the theoretical yield in grams. Remember that the actual yield may differ due to various factors such as reaction efficiency and side reactions.

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a) Mark earns $110 at the rock concert,  b) i) Mary's annual income is $66,000, c) Danny's regular salary is $400 and his overtime salary is $75. His total salary is $475.

a) Mark sells 200 programs, so he earns an additional $0.45 for each program. Therefore, his earnings from selling programs is 200 * $0.45 = $90. In addition, he earns a fixed amount of $20 for showing up. Therefore, his total earnings at the rock concert is $20 + $90 = $110.

b) i) Mary's annual income is her monthly salary multiplied by 12 since there are 12 months in a year. Therefore, her annual income is $5,500 * 12 = $66,000.

ii) Mary's gross earnings per pay period would depend on the pay frequency. If we assume a monthly pay frequency, her gross earnings per pay period would be equal to her monthly salary of $5,500.

iii) If Mary is paid semi-monthly, her earnings per pay period would be half of her monthly salary. Therefore, her earnings per pay period would be $5,500 / 2 = $2,750.

iv) If Mary is paid weekly, we need to divide her monthly salary by the number of weeks in a month. Assuming there are approximately 4.33 weeks in a month, her earnings per pay period would be $5,500 / 4.33 = $1,270.99 (rounded to the nearest cent).

c) To calculate Danny's regular salary and overtime, we need to consider his regular working hours and overtime hours.

Regular working hours: 8 hours on Monday + 8 hours on Tuesday + 8 hours on Wednesday + 8 hours on Thursday = 32 hours.

Overtime hours: 10 hours on Wednesday (2 hours overtime) + 10 hours on Friday (2 hours overtime) = 4 hours overtime.

Regular salary: Regular working hours * hourly rate = 32 hours * $12.50/hour = $400.

Overtime salary: Overtime hours * hourly rate * overtime multiplier = 4 hours * $12.50/hour * 1.5 = $75.

Therefore, Danny's regular salary is $400 and his overtime salary is $75. His total salary would be the sum of his regular salary and overtime salary, which is $400 + $75 = $475.

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Answer:

954

Step-by-step explanation:

Answer:

1218.75

Step-by-step explanation:

25% of $975 = 243.75

Discounted price + Discount = Original Price

$975 + 243.75 = 1218.75

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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Answer:

x=2 hope this helps

Step-by-step explanation:

Answer:

2.275%

Step-by-step explanation:

z = (x-μ)/σ, where

x is the raw score = 14.9 ft

μ is the population mean = 12.5 ft

σ is the population standard deviation = 1.2 ft

We are to find the percentage of the apple trees are taller than 14.9 ft,

This means x > 14.9, x greater than 14.9

Hence,

z = (14.9 - 12.5)/1.2

z = 2

Probability value from Z-Table:

P(x<14.9) = 0.97725

P(x>14.9) = 1 - P(x<14.9) = 0.02275

Converting to Percentage

= 0.02275 × 100

= 2.275%

Therefore, the percentage of the apple trees that are taller than 14.9 ft is 2.275%

A normal quantile-quantile plot (Q-Q plot) is a graphical tool used to compare two probability distributions by plotting their quantiles against each other.

The Q-Q plot consists of a scatter plot of the quantiles of the dataset on one axis, typically the y-axis, and the corresponding quantiles of a theoretical normal distribution on the other axis, typically the x-axis.

The quantiles are the values that divide a dataset into equally sized intervals. For example, the 25th percentile is the value below which 25% of the dataset falls, and the 75th percentile is the value below which 75% of the dataset falls.

In a Q-Q plot, if the dataset perfectly follows a normal distribution, the points on the plot will form a straight line. If the dataset deviates from a normal distribution, the points on the plot will deviate from a straight line, indicating that the dataset's quantiles do not match those of a normal distribution.

Interpreting a Q-Q plot involves comparing the scatter plot of the dataset's quantiles to the reference line, which represents a normal distribution. If the points on the plot closely follow the reference line, it suggests that the dataset is approximately normally distributed.

If the points deviate substantially from the reference line, it may indicate that the dataset does not follow a normal distribution and may have a different distributional shape.

It is used to check whether two sets of data come from populations with a normal distribution.

It is also used to identify outliers in a dataset. Q-Q plots display a straight line, indicating a strong correlation between the two datasets.

The plot can also reveal skewness, which can be addressed through data transformation.

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Answer:

y = 1/2x+2

Step-by-step explanation:

first find x intercepts : to find x intercept put 0 in y

1/2x+2 = 0

1/2x= -2

x = -4 the graph shows x intercept at 4

next find y intercept : to find y intercept put 0 into x

=1/2*0+2

=2

the graph shows y crosses at 2.

Answer:

y = 1/2x+2

Answer:

Step-by-step explanation:

its 45 cm due too

The simplified form of the trigonometric expression csc2(x) − 1 csc2(x) is: cos2(x)/sin2(x)

The simplification of the trigonometric expression csc2(x) − 1 csc2(x) requires a bit of algebraic manipulation.

We can start by using the identity csc2(x) = 1/sin2(x) to rewrite the expression as:
1/sin2(x) − 1 / (sin2(x) * csc2(x))

Next, we can simplify the denominator of the second term using the identity csc2(x) = 1/sin2(x), giving us:
1/sin2(x) − 1 / (sin2(x) * (1/sin2(x)))

Simplifying further, we get:
1/sin2(x) − 1/sin2(x)

Finally, we can combine the two terms with a common denominator to get:
(1 - sin2(x))/sin2(x)

This expression can be further simplified using the identity sin2(x) + cos2(x) = 1, which gives us:
cos2(x)/sin2(x)

Therefore, the simplified form of the trigonometric expression csc2(x) − 1 csc2(x) is: cos2(x)/sin2(x)

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Answer:

26

Step-by-step explanation:

here,

the lower angle when sumed,

it is like: 154+a=180 (let angle be a) being supplementary angle sum is 180

so value of a becomes 26

then,

the above angle x is corresponding to angle a (a=x)

So value x is 26

Step-by-step explanation:

(0,5) and (-2,-3)

y=mx+b

find m

\( \frac{y1 - y2}{x1 - x2} \\ = \frac{5 - ( - 3)}{0 - ( - 2)} \\ = \frac{8}{2} \\ = 4 \\ \)

m=4

Substitute (0,5) or (-2,-3)

For easy processing substitute : (0,5)

y=4x+b

5=b

y=4x+5 is the answer

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True. a zero population correlation coefficient between a pair of random variables means that there is no linear relationship between the random variables.

A population correlation coefficient measures the degree of linear relationship between two random variables in a population. It ranges from -1 to +1, where -1 indicates a perfect negative linear relationship, +1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship. Therefore, a zero population correlation coefficient between a pair of random variables means that there is no linear relationship between the random variables. However, it is important to note that there may still be other types of relationships (such as nonlinear or indirect relationships) between the variables that are not captured by the correlation coefficient.

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\(\bold{Heya...}\)

3x + y = 11.

Let's solve for x ~

3x + y = 11

Step 1: Add -y to both sides.

\(\mathtt{3x \: + \: y \: + \: -y \: = \: 11 \: + \: -y}\)

\(\mathtt{3x \: = \: -y \: + \: 11}\)

Step 2: Divide both sides by 3.

\(\mathtt{\frac{3x}{3} \: = \: \frac{-y \: + \: 11}{3}}\)

↓ \(\underline{A \: n \: s \: w \: e \: r :}\) ↓

\(\bold{x \: = \: \frac{-1}{3}y \: + \: \frac{11}{3}}\)

Let's solve for x ~

5x - y = 21.

Step 1: Add y to both sides.

\(\mathtt{5x \: - \: y \: + \: y \: = \: 21 \: + \: y}\)

\(\mathtt{5x \: = \: y \: + \: 21}\)

Step 2: Divide both sides of 5.

\(\mathtt{\frac{5x}{5} \: = \: \frac{y \: + \: 21}{5}}\)

↓ \(\underline{A \: n \: s \: w \: e \: r :}\) ↓

\(\bold{x \: = \: \frac{1}{5}y \: + \: \frac{21}{5}}\)

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