An equilateral triangle is similar to a scalene triangle.1) Always2) never3) sometimes

The total time that tammy sent in total playing games is; 4.5 hours

The parameters given for Tammy in playing the game are;

Number of games played = 12 games

Time spent per game = ³/₈ hours

Thus;

Total time she spent playing game will be gotten by multiplying the time per game by number of games played to get;

Total time spent = ³/₈ * 12

= 9/2

= 4.5 hours

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Complete question is;

A game lasts 3/8 hours. Tammy played 12 of these games. For how long did she play in total? Write your answer in simplest form.

Reena bought more spinach as the total weight of spinach is more than chili.

The weight of an object refers to as the force of gravity that is acting on the object. It is the amount of gravitational force applied by the Earth on that object.

Weight of spinach - 53.882 grams or 0.053882 kg

Weight of chili - 49.883 grams or 0.049883 kg

When comparing the above information, we get the weight of spinach to be more than the weight of chili as the weight of spinach is 53.882 grams which is more than the gross weight of chili i.e., 49.883 grams. So, Reena bought more spinach as compared to chili.

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A solution to this system of linear equations is (1, -2).

In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

4x - 2y = 8     ......equation 1.

y = -2     ......equation 2.

Next, we would use an online graphing calculator to plot the given function as shown in the graph attached below.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant IV and it is given by the ordered pair (1, -2).

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Answer: 159 bpm

Step-by-step explanation:

if his rate is 53 beats in 1/3 of a minute, in 3/3 of a minute, (1 full minute), it will be 53 x 3 = 159 beats

so we can say his heart rate is 159 beats/minute, or 159 bpm

Answer:

Step-by-step explanation:

ghjhkvfgfgnfdgn

Point H is located at 6 on the number line, which is 6 units to the right of the zero point.

We know that Point G is located at-18 on the number line, and that Point H is 24 further than Point G. To find the position of Point H, we need to add 24 to the position of Point G

Point H = Point G + 24

Substituting the position of Point G, we get

Point H = -18 + 24

Simplifying the expression, we get

Point H = 6

thus, Point H is located at 6 on the number line.

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The linear equation for A and B will be A=1000+35t and B=700+55t where t=no. of years and A will be same as B in 15 years.

What exactly is a linear equation?

The equation is referred to as linear when a variable's maximum power is 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. This equation has three variables: x, A, and B. A is a coefficient. A linear equation in which there are only two variables typically takes the form Ax + By = C. In addition to the constant C, there are three other constants: the variables x and y, the coefficients A and B, and the variables.

Now,

As given that High School A currently has 1000 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 55 students each year.

Let A represent the number of students in High School A in t years, and

Let B represent the number of students in High School B after t years.

Then A=initial students+35*no. of years and B=initial students+55*no. of years i.e. A=1000+35t and B=700+55t  

and for A=B

1000+35t=700+55t

55t-35t=1000-700

20t=300

t=15

hence,

          The linear equation for A and B will be A=1000+35t and B=700+55t where t=no. of years and A will be same as B in 15 years.

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Answer:

$2,000

Step-by-step explanation:

The initial investment price is given by the y-value where the graph intersects the y-axis

This is at y = 2

Since the scale is in thousands of $, that would mean $2,000 as the original price

Kingsley knows that 1 inch is about 2. 54 centimeters.6 inches is equivalent to 15.24 centimeters.

To convert any given length in inches (I) to centimeters (c), Kingsley can use the following equation:

c = I * 2.54

This equation works because we know that 1 inch is equal to 2.54 centimeters. So, to convert any given length in inches to centimeters, we simply multiply the number of inches by 2.54. The result gives us the equivalent length in centimeters.

For example, if we want to convert a length of 6 inches to centimeters, we can use the equation:

c = 6 * 2.54 = 15.24

So, Kingsley knows that 1 inch is about 2. 54 centimeters. 6 inches is equivalent to 15.24 centimeters.

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After 3 years the rate of simple interest charged at this to Chloe bank is  7%

We can start by using the formula for simple interest:

Simple Interest = Principal * Rate * Time

where the principal is the amount borrowed, the rate is the interest rate as a decimal, and the time is the duration of the loan in years.

Plugging in the given values, we get:

168 = 800 * Rate * 3

Solving for the rate, we get:

Rate = 168 / (800 * 3) = 0.07

Hence,

The rate of simple interest charged at this bank is 0.07, or 7% as a percentage.

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Answer:

25 minutes

Explanation:

Subtract the two times to find the duration.

John can buy any amount of chocolate between 0 and 2.2 pounds (rounded to one decimal place) and still have enough money to buy the jelly beans.

John brings $15 to the candy store and buys a bag of jelly beans for $4. He plans to buy some chocolate that costs $5 per pound. Let x be the number of pounds of chocolate John could buy.

The cost of the chocolate John plans to buy is $5 per pound, so the total cost of x pounds of chocolate is 5x. John's total budget is $15, so he must have enough money to buy the jelly beans and the chocolate. Therefore, the inequality that represents this situation is:

4 + 5x ≤ 15

To solve for x, we can begin by isolating the variable on one side of the inequality. We can do this by subtracting 4 from both sides of the inequality:

5x ≤ 11

Next, we can isolate x by dividing both sides of the inequality by 5:

x ≤ 11/5

Therefore, the possible values of x, the number of pounds of chocolate John could buy, are all real numbers less than or equal to 11/5. However, since John cannot buy a negative amount of chocolate, we must also restrict x to be greater than or equal to 0. Therefore, the solution to the inequality is:

0 ≤ x ≤ 11/5

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The probability that the first n coupons which you collect do not form a complete set is (c^n - (c-1)^n) / c^n.

To find the probability that the first n coupons collected do not form a complete set, we need to count the number of ways in which the first n coupons can be collected so that they do not form a complete set and divide it by the total number of ways in which n coupons can be collected, which is c^n.

Let S be the set of all possible complete sets of coupons. The number of ways in which the first n coupons can form a complete set is the number of ways to choose any one of the complete sets in S, multiplied by the number of ways to order the coupons within that set. There are (c choose n) ways to choose n coupons out of c, and for each complete set of n coupons, there are n! ways to order them. Therefore, the number of ways to choose n coupons that form a complete set is (c choose n) * n!.

The total number of ways to choose n coupons out of c is c^n.

So, the probability that the first n coupons collected do not form a complete set is:

P = 1 - [(c choose n) * n! / c^n]

Alternatively, we can count the number of ways in which the first n coupons can be collected so that they do form a complete set. There are (c-1)^n ways to choose n coupons out of c-1 types of coupons, and for each set of n coupons, there is exactly one way to add the missing coupon to form a complete set. Therefore, the number of ways to choose n coupons that form a complete set is c^n - (c-1)^n.

So, the probability that the first n coupons collected do not form a complete set is:

P = (c^n - (c-1)^n) / c^n

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The equation is y = (-0.5)x + 34 and it will take 16 days for the water level to be 26 feet.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.

Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.

Let the number of days = x, and the water level = y.

Given that,

Water level of river = 34 ft (initial value/y-intercept)

Rate of change = -0.5 ft per day (slope)

The equation of the line is given as:

y = mx + c

where, m is the slope

c is the y-intercept.

Substituting the values we have:

y = (-0.5)x + 34

The number of days in which the water level will reduce to 26 ft is:

26 = (-0.5)x + 34

26 - 34 = -0.5x

x = 16 days.

Hence, it will take 16 days for the water level to be 26 feet.

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The value of x for the similar triangles is equal to 13.

We have the triangles to be similar, this implies that the length 8 of the smaller triangle is similar to the length x - 1 of the larger triangle

and the length 10 of the smaller triangle is similar to the length x + 2 of the larger triangle

so;

10/(x + 2) = 8/(x - 1)

10(x - 1) = 8(x + 2) {cross multiplication}

10x - 10 = 8x + 16

10x - 8x = 16 + 10 {collect like terms}

2x = 26

x = 26/6 {divide through by 6}

x = 13.

Therefore, the value of x for the similar triangles is equal to 13.

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Answer:

The equation is:

8x + 4 = 68

and the solution is:

x = 8

Step-by-step explanation:

The equation is:

8 time x and 4 is 68

8x+4 = 68

Solve:

8x + 4 - 4 =  68 - 4

8x + 0 = 64

8x = 64

x = 64/8

x = 8

Check:

8*8 + 4 = 68

The values of x, y and z are given as follows:

Similar polygons are polygons that share these two features presented as follows:

There are two similar trapezoids for this problem, hence the proportional relationship for the side lengths is given as follows:

x/15 = 10/24 = y/16 = z/12.

Applying cross multiplication, the value of x is given as follows:

24x = 15 x 10

x = 15 x 10/24

x = 6.25.

The value of y is given as follows:

y = 16 x 10/24

y = 6.67.

The value of z is given as follows:

z = 12 x 10/24

z = 5.

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The value of a and b are; a = 2, b = 4

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Given that the diagonals of parallelogram ABCD intersect at P.

4a +  b  = 2a + 8

4a - 2a + b = 8

     2a + b = 8 -----------------(I)

            b = 8 - 2a

11b - 10a = 6b

11b - 6b -10a = 0

5b - 10a = 0 ---------(II)

Substitute b = 8 - 2a  in equation (II)

5(8-2a) - 10a = 0

40 - 10a - 10a = 0

40 - 20a       = 0

-20a = - 40

a = -40/-20

a = 2

Plugin a = 2 in equation (I)

b = 8 -4

b = 4

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The vertex of the parabola is (0, -8).

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

We have to find the vertex of the parabola y = x² - 8,

x = -b/2a

where a is the coefficient of the x² term,

b is the coefficient of the x term, and

x is the x-coordinate of the vertex.

a = 1 and b = 0, so:

x = -0/(2.1) = 0

Now let us find the y-coordinate of the vertex, we can substitute x = 0 into the equation for the parabola:

y = (0)² - 8 = -8

Hence, the vertex of the parabola is (0, -8).

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(i) The function that predicts your expected payroll for the day is,

For first person; y = $50 + $10.50x

For second person; y = $60 + $10.50x

Where, y is total amount and x is number of working hours.

(ii) In Wednesday; The amount expect to pay your employees is,

For first person;

⇒ y = $102.50

For second person;

⇒ y = $112.50

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The first employee scheduled to work next Wednesday makes $10.50 per hour and averages $50 per day for commission.

And, The other person that is scheduled earns $10.50 per hour and averages $60 per day for commission.

Let total amount earn = y

And, Number of working hours = x

Hence, We can formulate;

The function that predicts your expected payroll for the day is,

For first person;

⇒ y = $50 + $10.50x

For second person;

⇒ y = $60 + $10.50x

And, For 5 hours, the amount is,

For first person;

⇒ y = $50 + $10.50x

⇒ y = 50 + 10.50 × 5

⇒ y = 50 + 52.50

⇒ y = $102.50

For second person;

⇒ y = $60 + $10.50x

⇒ y = 60 + 10.50 × 5

⇒ y = 60 + 52.50

⇒ y = $112.50

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The rate of change for Modis building stairwell is 0.68 feet per step.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Part A: In the Modis building, he climbs 22 steps for every 15 ft of horizontal travel.

Now, rate = 15/22

= 0.68 feet per step

In Sears Tower, he climbs 17 steps for every 7 ft of horizontal travel

Here, rate 7/17

= 0.41 feet per step

Part B: Sears Tower steps are easy to climb, because rate is lesser than Modis building steps.

Therefore, the rate of change for Modis building stairwell is 0.68 feet per step.

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Answer:

Below

Step-by-step explanation:

rate X time = distance

rate  = distance / time    <=====we want minimum of this so make denominator as large as possible and numerator as small as possible

      distance = 595  KM    ( rounds up to 600 km)

        time = 8 hr 44 min  rounds down to 8 :40    you could make it 8:44.99)

595 km / (8 + 44.99/60) hr  = 68 km/hr

The value of the equation is A = 6ab - 2bc + 12ac - b²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 2b ( 3a - c ) + 12ac - b²   be equation (1)

On simplifying the equation , we get

A = 2b ( 3a ) - 2b ( c ) + 12ac - b²

On further simplification , we get

A = 6ab - 2bc + 12ac - b²

Hence , the equation is A = 6ab - 2bc + 12ac - b²

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Answer:

k = 48.4

Step-by-step explanation:

[tex] \frac{k - 16}{6} = 5.4 \\ 6 \times \frac{(k - 16)}{6} = 5.4 \times 6 \\ k - 16 = 32.4 \\ k = 32.4 + 16 \\ k= 48.4 [/tex]

The equation that describes the graphed function is -

g(x) = - f(x) - 3.

A root function in mathematics is given as -

y = [tex]$\sqrt[n]{x}[/tex]

We can further write the function as -

y = [tex]$x^{\frac{1}{n} }[/tex]

Given is the graph of the function as shown in the image attached.

We can write the function f(x) as -

f(x) = √x

Inverting the f(x) across the {x} axis, we can write -

- f(x) = - √x

After downward translation, we can write g(x) as -

g(x) = - f(x) - 3

Therefore, the equation that describes the graphed function is -

g(x) = - f(x) - 3.

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The correct option is "the standard error is the standard deviation of the sampling distribution." Correct option is A.

The standard error is a measure of the variability of a sampling distribution, which is the distribution of sample statistics (e.g., mean, proportion) that would be obtained from multiple random samples of the same size from the same population.

The standard error represents the standard deviation of the sampling distribution, and it provides a measure of the precision of the sample statistic in estimating the population parameter.

The standard error is not the same as the standard deviation of the sample, which is a measure of the variability of the individual observations in the sample.

The standard deviation of the sample is typically used to estimate the standard deviation of the population, while the standard error is used to estimate the variability of the sample statistic and to construct confidence intervals or perform hypothesis tests.

While the other options are related to the concept of the standard error, they are not equivalent or fully accurate descriptions of what the standard error represents.

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Complete question is:

What is the standard error?

group of answer choices

A. the standard error is the standard deviation of the sampling distribution

B. the standard error is a measure of how representative a sample statistic is likely to be of the population parameter.

C. the standard error is calculated using the standard deviation of the sample all of the options describe the standard error.