If the x-values are equal for two points, then the two points are on a ____ line

Felix's English score would be around 72 points if he spends 7 hours a week studying English.

the answer is option b, 72 points.

What is a graph of an equation?

A graph of an equation is a visual representation of the relationship between the variables in that equation. In mathematics, an equation typically involves one or more variables, and the graph of that equation shows how the value of one variable changes as the value of another variable change.

Look at the horizontal axis of the graph to find the point that corresponds to 7 hours of studying per week. In this case, it is approximately halfway between 6 and 8, so we can estimate it to be around 7.

From that point, draw a vertical line up to the graph to find the corresponding English score.

Follow the line until it intersects with the blue line representing Felix's English scores.

From that intersection point, draw a horizontal line over to the y-axis to read the corresponding score.

Based on this analysis, we can estimate that Felix's English score would be around 72 points if he spends 7 hours a week studying English.

Therefore, Felix's English score would be around 72 points if he spends 7 hours a week studying English.

the answer is option b, 72 points.

To learn more about the graph of an equation, visit:

https://brainly.com/question/28732353

#SPJ1

Percentage of change in the stock's price since the beginning of the year is: 12.32%

The price at which a stock's share is currently trading on the market is referred to as the stock price. Every publicly listed company issues its shares at a price, which is an estimation of their value that, ideally, corresponds to the worth of the firm itself.

The market forces of supply and demand govern a company's share price once it becomes public and its shares begin trading on a stock exchange. Price increases will occur if there is a large demand for its shares. A stock's price might be reduced by sellers if the company's prospects for future growth appear uncertain.

Given that,

Closing price today = $21.20

Closing price on the previous trading day= $28.83

Difference between closing price today and closing price on the previous trading day= $21.20 - $28.83

= $7.63

Percentage of change in the stock price since the beginning of the year

= Year-to-date % change

= 12.32%

To know more about stock's price refer to:

https://brainly.com/question/29362234

#SPJ1

Based on the information, it can be inferred that the area of the figure is 310 yards²

To calculate the surface area of this figure we must find the area of all the faces of the figure:

Then we must multiply the area of each face by the number of faces with that area.

Finally we must add the areas of the faces

According to the above, the total surface area of this figure is 310 yards ²

Learn more about yardage in: https://brainly.com/question/13391103

#SPJ1

Answer:

4,233,000

Step-by-step explanation:

4,232,000                 4,4232,852                  4,233,000

4,4232,852 is between 4,232,000 and 4,233,000.  It is closer to 4,233,000.

The rule is to look a the digit in the hundreds' place.  That number is 8.  If the digit in the hundreds' place is 5 or larger, you round up.

Answer:

(B) "1 to 5."

Step-by-step explanation:

The ratio of single to married instructors is 1 to 5. Since 4 instructors are single out of 24 total instructors, the ratio of single instructors to married instructors is 4 to (24 - 4) = 4 to 20. Simplifying the ratio to its simplest form, we get 4:20 = 1:5, which is the answer choice (B) "1 to 5."

That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.

How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.

An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.

To know more about portion formula visit:

https://brainly.com/question/17145705

#SPJ1

Answer:

Below

Step-by-step explanation:

Rectangular area = L x W =  10 x 20 = 200 ft^2

  PLUS triangular area = 1/2 b h = 1/2 * 10 * 10  = 50 ft^2

      TOTAL = 250 ft^2

[tex]\cfrac{6}{4+\sqrt{2}}\implies \cfrac{6}{4+\sqrt{2}}\cdot \cfrac{4-\sqrt{2}}{4-\sqrt{2}}\implies \cfrac{6(4-\sqrt{2})}{\underset{\textit{difference of squares}}{(4+\sqrt{2})(4-\sqrt{2})}} \implies \cfrac{6(4-\sqrt{2})}{(4)^2 - (\sqrt{2})^2} \\\\\\ \cfrac{6(4-\sqrt{2})}{16 - 2}\implies \cfrac{6(4-\sqrt{2})}{14}\implies \cfrac{3(4-\sqrt{2})}{7}\implies \cfrac{12-3\sqrt{2}}{7}[/tex]

The graph of the function is added as an attachment

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

h(x) = (1/3)ˣ - 4

The above function is an exponential function shifted down from the origin by 4 units

An exponential function of this form is represented as

h(x) = a(b)ˣ + c

Where

Initial value = a

Rate = b

Shift = c

Using the above as a guide, we have the following:

a = 1

b = 1/3

c = -4

Next, we plot the graph

See attachment for the graph of the function

Read more about graph at

https://brainly.com/question/30422919

#SPJ1

The time Jim takes alone to mow the lawn is 10 hours.

Jim and Craig, working together  can mow the lawn in 8 hours. Working alone, Craig take 4 times as long as Jim.

Therefore, the time it takes Jim to mow the lawn alone can be calculated as follows:

let

x = time use by Jim to mow the lawn

Therefore,

time Craig use to mow the lawn = 4x

Hence,

1 / 8 = 1 / 4x + 1 / x

1 / 8 =  1 + 4/ 4x

1 / 8 = 5 / 4x

cross multiply

4x = 40

x = 40 / 4

x = 10

Therefore,

time Jim takes alone to mow the lawn = 10 hours.

learn more on hours here: brainly.com/question/16583280

#SPJ1

The probability of getting exactly one head after flipping a coin three times is equal to ( 3 / 8 ) .

Possible outcomes of flipping a coin three times are :

= { HHH, THH, HTH, HHT, TTH, THT, HTT, TTT }

Possible outcomes of getting exactly one head are:

= { TTH, THT, HTT }

Total number of outcomes are equal to 8

Favourable number of outcomes are 3

Probability of getting exactly one head is equal to

= ( Number of favourable outcomes ) / ( total number of outcomes)

= 3 / 8

Therefore, the probability of getting exactly one head by flipping a coin three times is equal to ( 3 / 8 ).

Learn more about probability here

brainly.com/question/30034780

#SPJ4

Answer:

Option C. (x + 5)

Step-by-step explanation:

This quadratic equation can either be solved using the quadratic formula or be factorised using The Double Bubble Method.

Double Bubble Method:

After listing the different pairs of factors 10, the pair (that would add together to give 7) are 2 and 5. These two factors will be used to rewrite +7x:

[tex]x^{2} + 2x + 5x + 10[/tex]

Factorization by grouping (i.e factorising each separate group sharing a common factor) will then be applied:

[tex]= x(x + 2) + 5(x + 2)[/tex]

The common factor, which is the (x + 2) expression, will be extracted:
[tex]= (x + 2)(x + 5)[/tex]

∴ [tex]x^{2} + 7x + 10[/tex] can be factorised to [tex](x + 2)(x + 5)[/tex]

It is observed that a factor of the given quadratic equation is x + 5

∴Option C

The conditional probability P(B|F) of the two way table is; P(B|F) = 0.37 given that the students prefer to write with block letters, there is a 0.37 probability that they have fair dancing skills

Two-way tables are a way of sorting data so that the frequency of each category can be seen quickly and easily.

Conditional probability is defined as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.

Now, from the given two way table,

B = the student prefers writing in block letters.

F = the student's dancing skills are fair.

Thus;

P(B|F) = 17/45

P(B|F) = 0.37

Read more about conditional probability of two-way table at; https://brainly.com/question/23382435

#SPJ1

The volume, V of the solid obtained by rotating the region bounded by the graphs of the expressions, y² = x, x = 3y; about the y-axis is equals to the 162π/5 cubic units.

We have a region bounded by the graphs of two expressions. These expressios are y² = x, x = 3y. We have to calculate the volume of solid obtained by rotating the bounded region about the y-axis. First determine the intersection points of

y² = x, x = 3y.

=> x = 3y --(1)

=> y² = 3y

=> y² - 3y = 0

=> y( y - 3 ) = 0

=> y = 0 or y - 3 = 0

=> y = 0 , y = 3

from (1), x = 3y => x = 0, x = 9

Let the intersection points be O(0,0) and P(3,9). Now, the volume of rotating region or due to shaded region is

[tex]V = π\int_{0}^{3} (R² - r²) dy [/tex]

where R = 3y , r = y²

[tex]V = π\int_{0}^{3} [(3y)² - (y²)²]dy [/tex]

[tex]V = π \int_{0}^{3} (9y² - y⁴)dy [/tex]

[tex]V = π[ \frac{9y³}{3}- \frac{y⁵}{5} ]_{0}^{3} [/tex]

[tex]V = π[ \frac{9(3)³}{3}- \frac{{3}^{5} }{5} - 0- 0 ][/tex]

[tex]V = π(81 - \frac{243}{5} ) = \frac{162π}{5} [/tex]

Hence, the required volume is 162π/5 cubic units.

To learn more about volume of rotating region, refer:

https://brainly.com/question/30447788

#SPJ4

Answer:

R207

Step-by-step explanation:

R180 times 15% =27

27+180=207, therefore, R270 ir correct

The value of k is given as follows:

k = 2x.

The exponential function that models the growth of the first virus is given as follows:

y = P(3)^x.

The exponential function that models the growth of the second virus is given as follows:

y = P(9)^x = P(3)^k.

We have that 9 is the second power of 3, hence we have that:

y = P(3²)^x = P(3)^k.

Applying the power of power rule, we have that:

y = P(3)^(2x) = P(3)^k.

Hence the value of k is given as follows:

k = 2x.

More can be learned about exponential functions at https://brainly.com/question/30113628

#SPJ1

The solution to the system of equations is x = -1 and y = 1.

A system of equations in algebra consists of two or more equations and looks for common answers to the equations. "A set of equations satisfied by the same set of variables is called a system of linear equations."

The system of equation is given as:

2x - 3y = -5 .........(1)

3x + y = -2 ........(2)

Equation 2 can be written as:

y = -2 - 3x

Substituting the value of y in equation 1 we have:

2x - 3(-2 - 3x) = -5

2x + 6 + 9x = -5

11x + 6 = -5

11x = -5 -6

11x = -11

x = -1

Substituting the value of x in equation 2 we have:

3x + y = -2

3(-1) + y = -2

-3 + y = -2

y = -2 + 3

y = 1

Hence, the solution to the system of equations is x = -1 and y = 1.

Learn more about system of equations here:

https://brainly.com/question/90105

#SPJ1

Answer:

Marianna will have $19,700 in her annuity after 6 years.

Step-by-step explanation:

To find the amount of money in the annuity after 6 years, we need to calculate the compound interest earned over that time period.

First, let's find the interest rate per quarter: 8% annual interest divided by 4 quarters per year = 2% interest per quarter.

Next, we'll calculate the number of quarters that the money is invested: 6 years x 4 quarters per year = 24 quarters.

Now we can use the formula for compound interest to find the total amount of money in the annuity after 6 years:

A = P * (1 + r/n)^(nt)

Where:

A = final amount

P = initial investment ($10,000 in this case)

r = interest rate per quarter (2% or 0.02)

n = number of times the interest is compounded in a year (4)

t = number of years invested (6)

Plugging in the values:

A = $10,000 * (1 + 0.02)^(24)

A = $10,000 * 1.96634438

A = $19,663.44

Rounding to the nearest hundred dollars: $19,700

So, Marianna will have $19,700 in her annuity after 6 years.

Answer:

2 . of(0)=2/1/2 this is answer number 2

The solution is, option 2 neither linear nor exponential.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

The given function is

x    : -5       -3      -1       1      3

f(x) :8192   512   32      2    18

when we plot this function in the excel we get to know that it a regression as shown in the figure attached  

because value of  lies between (0,1)

which shows regression

therefore it is neither linear nor exponential.

To learn more on function click:

brainly.com/question/21145944

#SPJ5

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

The pair of opposite angles formed by two intersecting straight lines are known as Vertical Angles.

In the given figure, there are two pairs of vertical angles~

That are :

[tex]\qquad \sf  \dashrightarrow \: \angle1 \: \: and \: \: \angle3[/tex]

and

[tex]\qquad \sf  \dashrightarrow \: \angle2 \: \: and \: \: \angle4[/tex]

Also, vertical opposite angles are equal in measure.

The Shanika Company's inventory levels changed during 20Y6. The materials inventory increased, the work in process decreased, and the finished goods slightly increased.

Based on the information provided, it appears that the Shanika Company has gone through some changes in its inventory levels during the 20Y6 period.

The company's materials inventory has increased from $274,730 on January 1 to $346,160 on December 31, indicating that the company has acquired more raw materials over the course of the year.

On the other hand, the work-in-process inventory has decreased from $494,510 to $470,780, suggesting that the company has been able to efficiently process its raw materials into partially completed goods over the year.

Finally, the finished goods inventory has increased slightly from $475,280 to $481,160, indicating that the company has been able to produce more finished products over the course of the year and has had sufficient demand for its products to keep the finished goods inventory at a relatively stable level.

To know more about inventory, visit:https://brainly.com/question/15118949

#SPJ1

Answer:

563

Step-by-step explanation:

If a shipping container will be used to transport several 40-kilogram crates across the country by rail. The inequality that  can be used to determine x is: 40x≤ 25,500-6,400 and the number of 40-kilogram crates that can be loaded into the shipping container is:  x=≤ 477.5.

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

Inequality

x is the integer

First step is to formulate the inequality

40x≤ 25,500-6,400

Now let determine the x by using the inequality

40x≤ 25,500-6,400

40x≤19,100

x=≤19,100/40

x=≤ 477.5

Therefore If a shipping container will be used to transport several 40-kilogram crates across the country by rail. The inequality that  can be used to determine x is: 40x≤ 25,500-6,400 and the number of 40-kilogram crates that can be loaded into the shipping container is:  x=≤ 477.5.

Learn more about inequality here:

brainly.com/question/24372553

#SPJ1

The slope for:

1 = 1/2  (Option E)

2 = 2 (Option C)

3 = -1/2 (Option H)

4 = -2 (Option A)

The slope or gradient of a line in mathematics is a quantity that specifies both the direction and the steepness of the line.

The formula for slope (m) is given as:

m = Rise/Run = y2-y1/x2-x1

(x1,y1) = Coordinates of the first point in the line

(x2,y2) = Coordinates of the second point in the line.

1) The points are:

x1= -2

y1 = 2

x2 =2

y2  = 4

m = (4 - 2) / (2 - (-2))

m = 2 / 4

m = 1/2

Thus, Δy/Δx = 1/2

2) The points are:

x1= -1

y1 = -12

x2 =5

yx  = 0

m = (y2 - y1) / (x2 - x1)

Substituting the given values, we get:

m = (0 - (-12)) / (5 - (-1))

m = 12 / 6

m = 2

Thus, Δy/Δx = 2


3) Where the points are:
x1= 2

y1 = -6

x2 = - 4

y2  = -3

Substituting the given values, we get:

m = (-3 - (-6)) / (-4 - 2)

m = 3 / (-6)

m = -1/2

Thus, Δy/Δx = -1/2


4)  Where the points are:
x1= 0

y1 = 3

x2 = 1.5

y2  = 0

Substituting the given values, we get:

m = (0 - 3) / (1.5 - 0)

m = -3 / 1.5

m = -2


Thus, Δy/Δx = -2

Learn more about Slope:
https://brainly.com/question/1778676
#SPJ1

The intervals of each behavior of the function are given as follows:

a) Increasing: (-∞, -1).

b) Decreasing: (-1, 1).

c) Constant: (1, 3).

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

The conclusion is that the mean bumper repair cost is greater for small pickups than for small utility vehicles at a significance level of 0.10.

The test statistic for this hypothesis test can be calculated as follows:

t = (μ1 - μ2) / sqrt(s1^2 / n1 + s2^2 / n2)

where:

μ1 = mean bumper repair cost for small pickups ($1090)

μ2 = mean bumper repair cost for small utility vehicles ($485)

s1 = standard deviation of bumper repair cost for small pickups ($403)

s2 = standard deviation of bumper repair cost for small utility vehicles ($382)

n1 = sample size for small pickups (5)

n2 = sample size for small utility vehicles (8)

Plugging in the values, we get:

t = (1090 - 485) / sqrt(403^2 / 5 + 382^2 / 8) = 4.36

Next, we need to find the critical value for a two-tailed test at a significance level of 0.10 using a t-distribution table or using a t-distribution calculator. Since the degrees of freedom (df) for a Welch's t-test are unequal, the critical value can be approximated using the degrees of freedom formula:

df = ((s1^2 / n1) + (s2^2 / n2))^2 / (((s1^2 / n1)^2) / (n1 - 1) + ((s2^2 / n2)^2) / (n2 - 1))

Plugging in the values, we get:

df = ((403^2 / 5) + (382^2 / 8))^2 / (((403^2 / 5)^2) / (5 - 1) + ((382^2 / 8)^2) / (8 - 1)) = 9.57

Using a t-distribution table or calculator, we find the critical value for a two-tailed test at a significance level of 0.10 and df = 9.57 is ±1.833.

Since the calculated t-value (4.36) is greater than the critical value (1.833), we reject the null hypothesis and conclude that there is evidence to suggest that the mean bumper repair cost is greater for small pickups than for small utility vehicles at a significance level of 0.10.

Learn more about hypothesis on:

https://brainly.com/question/11555274

#SPJ1

Answer:

$ 546.00

Step-by-step explanation:

Simple Interest = P x r x  t

where t = number of years

r = interest rate per year as a decimal

P = amount invested(deposit)

We are given that r = 7.8% per year = 7,8/100 = 0.078

However, since this is the yearly interest, the monthly interest = 0.078/12

The time period is 42 months

Initial deposit = $2,000

Therefore interest
I = 2000x (0.078/12) x 42 =  $ 546.00

After answering the provided question, we can say that the function's midpoint equation = 9sin3x + -5 => f(1) = 9*0 + 5 = 5

A mathematical equation is a formula that joins two statements and indicates equality with the equal symbol (=). In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the relationship between the two sentences on either side of a letter. There is frequently only one variable, which also serves as the symbol. For example, 2x - 4 = 2. midpoint equation = 9sin3x + -5 => f(1) = 9*0 + 5 = 5

To know more about equation visit:

brainly.com/question/649785

#SPJ1