50 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!

Answer:

to find out how much hector earns a hour we can do

Step-by-step explanation:

210 ÷ 20

I think you missed some writing it doesn't say the whole question. so I'm not really sure^^

The black curve is represented by the function:

Then, for the first point at t = 1000, which is very close to the function, we can aproximate it to (1000,P(1000) = (1000,187)

We also can take the last point, close to the intersection of a vertical line with a horizontal line at (2000,6000)

Then, we can calculate the rate of chage: (6000 - 187)/(2000 - 1000) = 5813/1000 = 5.8 (rounded)

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

\(Initial =1\ million\)

\(6\ years\ later = 500,000\)

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

\(\frac{dA}{dt} = kA\)

Where k represents the constant of proportionality

\(\frac{dA}{dt} = kA\)

Multiply both sides by dt/A

\(\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}\)

\(\frac{dA}{A} = k\ dt\)

Integrate both sides

\(\int\ {\frac{dA}{A} = \int\ {k\ dt}\)

\(ln\ A = kt + lnC\)

Make A, the subject

\(A = Ce^{kt}\)

\(t = 0\ when\ A =1\ million\) i.e. At initial

So, we have:

\(A = Ce^{kt}\)

\(1000000 = Ce^{k*0}\)

\(1000000 = Ce^{0}\)

\(1000000 = C*1\)

\(1000000 = C\)

\(C =1000000\)

Substitute \(C =1000000\) in \(A = Ce^{kt}\)

\(A = 1000000e^{kt}\)

To solve for k;

\(6\ years\ later = 500,000\)

i.e.

\(t = 6\ A = 500000\)

So:

\(500000= 1000000e^{k*6}\)

Divide both sides by 1000000

\(0.5= e^{k*6}\)

Take natural logarithm (ln) of both sides

\(ln(0.5) = ln(e^{k*6})\)

\(ln(0.5) = k*6\)

Solve for k

\(k = \frac{ln(0.5)}{6}\)

\(k = \frac{-0.693}{6}\)

\(k = -0.1155\)

Recall that:

\(\frac{dA}{dt} = kA\)

Where

\(\frac{dA}{dt}\) = Rate

So, when

\(A = 600000\)

The rate is:

\(\frac{dA}{dt} = -0.1155 * 600000\)

\(\frac{dA}{dt} = -69300\)

Hence, the amount of oil was decreasing at 69300 barrels, yearly

Answer:

It intersects the y-axis at point (0, 2).

Step-by-step explanation:

x + 3y = 6

3y = -x + 6

y = -1/3x + 2

Answer:

4. (6,0)

Step-by-step explanation:

Plug the points into the equation.

6+3(0)=6

6+0=6

6=6

The reading of the books are illustrations of linear equations

The term that describes the scenario is linear equations

From the question, we have:

Logan

Books = 14

Rate = 1 per week

Mariko

Books = 12

Rate = 1 per week

So, the equations that represent the number of books read in x weeks are:

Logan: y =14 + x

Mariko = 12 + x

The above equations are linear equations

Hence, the term that describes the scenario is linear equations

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Answer:   5/8

Step-by-step explanation:

Answer:

The probability is 5/8

Step-by-step explanation:

First, we must add all the numbers together. 5 + 8 + 7 + 4 = 24. Now, let's add the white balls and green balls. 5 + 4 = 9. Therefore, the probability of choosing a white or green ball is 9/24 which also equals 3/8. To find out the probability of NOT choosing white or green, we must subtract 9 from 24. 24 - 9 = 15. So, the probability of choosing neither the white or green balls equals 15/24 which also equals 5/8.

Hope this helps!!

The greatest common factor of the expression is 4m⁴.

GCF simply means the greatest common factor.

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Hence,

56m⁵

68m⁴

The greatest common factor of the expression  is the largest positive expression that divides evenly into all numbers with zero .

Hence, the greatest common factor is 4m⁴

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Answer:

Step-by-step explanation:

B yes their slopes are negative reciprocals

Answer:

b

Step-by-step explanation:

on edge

Answer:

x = 3

Step-by-step explanation:

I've attached a picture.

:)

Answer: See below

Step-by-step explanation:

The first is a beaker, it's used to measure liquid volume

The second is a ruler, it's used to measure length.

Last is a thermometer, it's used to measure temperature.

Answer:

99.7% of IQ scores are between 46 and 148.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 97, standard deviation of 17.

What percentage of IQ scores are between 46 and 148?

97 - 3*17 = 46

97 + 3*17 = 148

Within 3 standard deviations of the mean, so:

99.7% of IQ scores are between 46 and 148.

Answer:

Yes it is a useful suggestion

Step-by-step explanation:

Using the ANOVA model is a good idea because using it would give allowance For us to compare the five means of the five different family sizes. By this, during investigation there would be no confusion as to if a quadratic or linear relationship exists between the variables family size and breakfast cereal expenditure.

We would be comparing the mean expenditure of food of these 5 different family size levels so anova is useful.

Answer and Step-by-step explanation:

ANOVA model is mathematical model describe relationship between response and treatment.

One way ANOVA is given by:

YIJ = µ + Ti +Єij

Where, yij represent jth observation on ith treatment.

In this question, researcher collected data on the breakfast expenditure of a family whose size is five.

Yes, we can use ANOVA model. ANOVA can be used even if there is quadratic nonlinear relationship between expenditure and family size.

Since, the family size is five; we have to compare their mean expenditure on food.

The ANOVA one way model is:

YIJ = µ + Ti +Єij

For i=1, 2,3,4,5 and j= 1, 2,3,4,5

With hypothesis,

H01 : µ1 are equal.

H11 : at least two i not equal to j.

Answer:

C. 80

Step-by-step explanation:

5x10x.5=25

25x2=50

3x10=30

50+30=80

Answer:

C

Step-by-step explanation:

Split the shape into normal shapes such as a rectangle and two triangles

use there formulas for area for each shape

rectangle L x W

10 x 3 = 30

for triangles it’s side a times the base divided by 2

5 x 10 / 2 = 25

so it’s 50 because there is two triangles

add 50 and 30

so it’s 80ft so C

Answer:

Calm down jamal. dont pull out the nine

Step-by-step explanation:

Answer:

$18.28

Step-by-step explanation:

To complete this problem is a straightforward answer:

First, you add 14.75 + 1.03 which equals $15.78 then, you'll want to add 2.50 to 15.78 and there you have your answer!!

Answer:

All you need to do is split the shape so that you can find the individual area

Step-by-step explanation:

So we first split the shape so we get a triangle...

Now we split the shape again to get another square...

Then we find the area of the other square...

Our last step is to add all the areas together

Hence the area is 22

Using proportions, it is found that 375 products are produced with 15 workers in 5 hours.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that the rule of three are given as follows:

1000 products - 20 workers - 10 hours.

x products - 15 workers - 5 hours.

The measures are direct proportional, hence:

\(\frac{1000}{x} = \frac{20}{15} \times \frac{10}{5}\)

\(\frac{1000}{x} = \frac{40}{15}\)

Applying cross multiplication:

40x = 15(1000)

x = 15(1000)/40

x = 375.

375 products are produced with 15 workers in 5 hours.

More can be learned about proportions at https://brainly.com/question/24372153

The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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Answer:

A. Repeat the process many times (1000). If 6 correct out of 8 cups rarely occurs, then it is most likely that the woman was just guessing as to what was poured first.

Step-by-step explanation:

Since tossing a coin 8 times implies 8 cups of tea, with the given conditions.

The sample space = 1000

Then;

             \(\frac{6}{8}\) × 1000 = 750

If 6 correct out of 8 cups occurs (750 out of 1000), the woman got 750 correctly. Thus it can be inferred that it is likely that she knew what was poured first, either the tea or milk.

But, if 6 correct out of 8 cups rarely occurs (i.e 250 out of 1000), then it is most likely that the woman was just guessing as to what was poured first.

Answer:

I'll assume that x2 = x^2 and y2 = y^2 and the answer is sqrt{35}.

Step-by-step explanation:

This problem invovles completing the square, so if I square (x+y), I get

x^2+2xy+y^2, and since xy = 6, 2xy = 12, 23+12 = 35, and your answer is sqrt{35}.

The addition property of equality is used when we add 9 to both sides

6x-9 = 45

6x-9+9 = 45+9

6x = 54

The next step would be to divide both sides by 6 using the division property of equality

6x = 54

6x/6 = 54/6

x = 9

Find his rate:

120 / 15 = $8 per hour

Multiply the rate by hours:

$8 x 20 hours = $160

He will earn $160

Answer:

8.604 in.

Step-by-step explanation:

We can use the formula for compound interest to find the height of domino #9:

A = P(1 + r)^n

where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).

Substituting the given values:

A = 3.00 in * (1 + 0.15)^9

Simplifying:

A = 3.00 in * 2.86797199

A ≈ 8.604 in

Therefore, the height of domino #9 is approximately 8.604 inches.

The number of people surveyed in the bar graph is 34

The visual display of data (often grouped) in the shape of vertical or horizontal rectangular bars, with the length of the bars corresponding to the measure of the data, is called a bar graph.

The number of people surveyed is calculated by adding up the frequencies of each bar

The frequency shows the number of people using cell phones starting from zero cell phone user which is 1 to 6 cell phone users which is 5

The calculation

1 + 5 + 6 + 8 + 9 + 5 = 34

Hence the number people surveyed is gotten to be 34

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Answer & Step-by-step explanation:

Regression studies the relationship between independent / explanatory  (causal) variable, dependent / response (effected) variable. Scatter plot is a diagrammatic representation of regression.

Aspartame Concentration, being a toxic substance, is likely to have negative regression relationship with mice survival rate. It implies that higher concentration leads to lower mice survival, & lower concentration leads to higher mice survival.

The relationship can be strong or weak, depicted by 'r' magnitude, depending upon the intensity of concentration impact on survival. If more percent of the variation in survival rate can be explained by variations in  concentrations, regression coefficient is high. If less percent of the variation in  survival rate can be explained by variations in concentrations, regression coefficient is low

Answer:

23

Step-by-step explanation:

An integer is a whole number that can be positive, negative, or zero, without any fractional or decimal parts.

The given expressions for three consecutive integers are:

Give that twice the first number is 20 more than the second:

\(2x = (x + 1) + 20\)

Solve this equation for x:

\(\begin{aligned}2x &= (x + 1) + 20\\2x&=x+1+20\\2x&=x+21\\2x-x&=x+21-x\\x&=21\end{aligned}\)

The expression for the largest integer is (x + 2).

Therefore, to find the largest number, substitute the found value of x into this expression:

\(\begin{aligned}\sf Largest\;number&=(x+2)\\&=21+2\\&=23\end{aligned}\)

Therefore, the largest number is 23.