Six numbers form an arithmetic sequence with a common difference of 4. The sum of these numbers equals to 12. What are the six numbers?

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How to determine the total amount of rainfall

From the dot plot, we have the following frequency table

Rainfall    Frequency

0                  4

1/8               5

1/4               1

3/8              2

1/2               1

1 1/4             1

= 3/8 inches

Answer:

mean,range,and mode.

I learned this just last Thursday, duh ;)

Step-by-step explanation:

Answer:

D. \(10^{\circ}\)

Step-by-step explanation:

Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).

Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).

By the inscribed angle theorem, \(\alpha=84^{\circ}\).

Thus, \(\beta=20^{\circ}\).

By the inscribed angle theorem, \(x=10^{\circ}\).

The ordered pairs which satisfy the equation are  (0,2) , (7,19) (-5,17) .

Finding the values of the variables that result in equality is the first step in solving a variable equation.

At x = 0 the value of y from the equation is :

y = 2

At x = 7 , y =-19

at y=17 , x= -5

Therefore the ordered pairs are :(0,2) , (7,19) (-5,17) .

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Answer:

8 baseballs : 4 gloves

4 baseballs : 2 gloves

16 baseballs : 8 gloves

2 baseballs : 1 glove

10 baseballs : 5 gloves

Step-by-step explanation:

I think It's just asking to put some ratios that go with the one given.

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

The solution to the equation 10+4y=-4y+2 is -1 because the variable y represents the same value.

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.

Here,

10+4y=-4y+2

8y=-8

y=-1

The solution of equation 10+4y=-4y+2 is -1 as the variable y represents the same value.

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The batter ran a distance of 0.112 kilometers or approximately 112 meters.

A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.

A baseball diamond is made up of four bases, and the distance a batter runs for a single is from home plate to first base, then first base to second base, then second base to third base, and finally third base back to home plate.

So the total distance the batter runs is 4 times the distance from home plate to first base, which is 28 meters.

28 meters x 4 = 112 meters

To convert meters to kilometers, divide by 1000:

112 meters / 1000 = 0.112 kilometers

Thus, the batter ran 0.112 kilometers or approximately 112 meters.

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∠LMN is an obtuse angle.

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

Explanation

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

Answer:

P=8(h)

Step-by-step explanation:

P is her total pay. You find that by multiplying what she makes an hour (8) by the total number of hours she has worked (h).

Answer:

p=8h

Step-by-step explanation:

Pay equals $8 per the number of hours

Step-by-step explanation:

imagine this triangle to be a trigonometric triangle in a circle.

the angle is at the triangle vertex at the center of the circle.

13×sqrt(2) is then the cosine of 45° multiplied by the Hypotenuse (= radius of the circle) x.

13×sqrt(2) = cos(45)×x

x = 13×sqrt(2)/cos(45) = 26

y = sin(45)×x = 13×sqrt(2)×sin(45)/cos(45) =

= 13×sqrt(2)×tan(45) = 13×sqrt(2)×1 = 18.38477631...

as expected, a right-angled triangle with 45° base angle must be an isoceles triangle (both legs are equally long).

y = 13×sqrt(2)

x = 26

so, if you are not supposed to use trigonometric functions yet, we can wrap it up in the opposite way :

because it is a right-angled triangle with a base angle of 45° (which makes also the other base angle 45°), it is an isoceles triangle, and therefore

y = 13×sqrt(2)

x we get then via Pythagoras :

x² = (13×sqrt(2))² + (13×sqrt(2))² = 169×2 + 169×2 =

= 4×169 = 676

x = sqrt(676) = 26

Answer:

A worker with 15 years of service gets 5 weeks of vacation each year.

Step-by-step explanation:

4th option

Answer:

-i

Step-by-step explanation:

hope this helps my fellow friend.

Answer:

D) i

Step-by-step explanation:

Answer:

x= 21/4

Step-by-step explanation:

1- Convert the expressions

5 ( x - 3 3/4 ) = 7 1/2

2- Remove the parentheses

5 ( x - 15/4 ) = 15/2

3- Move the constant to the right

5x - 75/4 = 15/2

4- Calculate the sum

5x = 15/2 + 75/4

5- Divide both sides

5x = 15/2 + 75/4

Answer:

the expression is equal to 40

Step-by-step explanation:

When given a= 5 and b=2, you can change your expression to read

3+11(5)-9(2)

All you have to do is simplify and you are given 40 :)

The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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Answer:

  a. the investment earns 4%

  b. yes

Step-by-step explanation:

The "rule of 72" says that an investment earning compound interest at x% will double in value after 72/x years. That is, ...

  f(x) = 72/x

__

We interpret f(4) to mean Becky's friend is interested in the doubling time for an investment that earns 4% interest.

__

Using the above formula, ...

  f(4) = 72/4 = 18

The friend's math is correct.

Answer:

This is false.

Step-by-step explanation:

The easiest thing to do is notice that 8 goes into 16 whilst 9 doesn't so that shows 9/16 would not be the unit rate.

The ratio 5/8 to 10/9 has a unit rate of 9/16 is false.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given are two ratios 5/8 and 10/9.

The unit rate of (5/8) is (5/8)/(8/8) = 5/8 = 0.625 similary the unit rate of the ratio 10/9 is 1.11.

Now, the unit rate of 9/16 is 0.5625 which is not in the range of two ratio's unit rates.

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Answer:

cinnamon toast crunch

The null hypothesis is it takes a customer less than or equal to 25 minutes to eat lunch.

The alternate hypothesis is it takes a customer more than 25 minutes to eat lunch.

What is null and alternate hypothesis?

The null hypothesis in inferential statistics is that two possibilities are equal. The underlying assumption is that the observed difference is just the result of chance. The alternative hypothesis is one of the suggested hypotheses in statistical hypothesis testing.

We are given a statement,

The manager of a restaurant believes that it takes a customer less than or equal to 25 minutes to eat lunch.

According to null hypothesis, There is no difference or change

Hence the null hypothesis is, it takes a customer less than or equal to 25 minutes to eat lunch.

Where as in alternate hypothesis, There should be a difference of change

Hence the alternate hypothesis is it takes a customer more than 25 minutes to eat lunch.

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Answer:

True

Step-by-step explanation:

The second derivative of an implicit function can be found using sequential differentiation of the initial equation F(x,y)=0. At the first step, we get the first derivative in the form y′=f1(x,y). On the next step, we find the second derivative, which can be expressed in terms of the variables x and y as y′′=f2(x,y).

I hope this is correct or at least  helps incase I understood the directions above incorrect

Answer:

A: P = 20n +415

B: P = 20t + 375

C: Both equations agree, and in 2018 there will be about 535 wolves

D: The advantage of defining the input variable is that it helps simplify the calculation and makes it more intuitive.

Step-by-step explanation:

P = Number of wolves

n = number of years since 2012

we know in 2012 there were 415 wolves in the sanctuary, and that the sanctuary has been growing about 20 wolves a year.

we know this is correct because we are trying to create an equation that represents the number of wolves(p) throughout the years(n), so we are trying to figure out what P equals. We know that the sanctuary grows about 20 wolves a year, and n is the number of years since 2012. As well as obviously, we add 415 to our equation because there is already 415 wolves in the sanctuary.

P = Number of wolves

t = number of years since 2010

x = unknown variable(number of wolves in 2010)

Here we are trying to identify what x is, in 2012 there was 415, each year the number of wolves grew by 20.

P = 40 - 415 = 375

We now know there were 375 wolves in 2010

P = 20n + 415

(To find n all we do is subtract 2018 and 2012, which equals 6.)

P = 20(6) + 415

(Solve)

P = 120 + 415

Our first equation tells us that in 2018 there will be 535 wolves.

P = 20t + 375

(To find t all we do the same thing we did last time except now we subtract 2018 from 2010, which equals 8)

P = 20(8) + 375

P = 160 + 375

The advantage of defining the input variable is that it helps simplify the calculation and makes it more intuitive.

As the coefficient of the cubic polynomial is positive its behavior as

x ⇒ ∞ is (D) y ⇒ ∞.

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

We know a polynomial end behavior is determined by the degree of the polynomial.

Given a function is a cubic polynomial which is of degree 3 and the coefficient is positive.

As the coefficient is positive the function f(x) will reach infinity as x approaches infinity.

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Answer:

y = 18

Step-by-step explanation:

Answer:

e is 63 degrees

d is 31 degrees

the correct answer is No

Step-by-step explanation:

it's not equal

Answer:

\(\frac{1}{3}\neq\frac{3}{3}\)

Step-by-step explanation:

The two numbers are different

Answer:

Number of students who received A grade on the second test = 36

Step-by-step explanation:

Given that:

Number of students who received A grade on third test = 54

This is 150% of the students who received A on the second test.

Let,

x be the number of students who received A on the second test.

150% of x = 54

\(\frac{150}{100}x=54\)

1.5x=54

Dividing both sides by 1.5

\(\frac{1.5x}{1.5}=\frac{54}{1.5}\\x=36\)

Hence,

Number of students who received A grade on the second test = 36

In order to calculate the length of the mid-segment of a trapezoid we can use the following formula:

Where m is the length of the midsegment, a and b are the lengths of the top and bottom bases.

By replacing x for m, 22 for a and 4 for b, we get:

Then, x equals 13

The midsegment splits the side BC into two equal-length segments, BM and MC, then the lengths of these segments is the same and we can formulate the following expression:

BM = MC

BM = 8

As mentioned, segment BC is formed by segments BM and MC, then by summing up the lengths of these two segments we get the length of BC, like this:

BC = BM + MC

BC = 8 + 8

BC = 16

Then, BC equals 16

For isosceles triangles, angles in opposite bases are supplementary, then we can formulate the following expression:

mmm

Then, ADC equals 115°

Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

Answer:

Step-by-step explanation:

The given data is 8,9,10,11,12,13

The minimum(lowest number) of the data is 8

The median(middle number) of the data is (10 + 11)/2 = 10.5

The median divides the set of data into two equal parts. The set of data becomes

8,9,10,10.5,11,12,13

The first quartile is the median of the lower part

First quartile = 9

The third quartile is the Median of the upper part

Third quartile = 12

The maximum(highest number) of the data is 13

Answer: For the "Interpreting a Box-and-Whisker Plot assignment" on Edge it's the following:

The minimum of the data is 81

The first quartile is 95

The median of the data is 109

The third quartile is 127

The maximum of the data is 136

Step-by-step explanation: