The temperature of a cup of coffee changed by $54°F ovel 22 1/2 minutes. What was the change in temperature each minute?​

Answer:

B. 3.16

Step-by-step explanation:

1) formula of the required distance is:
\(d=\sqrt{(X_A-X_B)^2+(Y_A-Y_B)^2} ;\)

2) if A(3;-8) and B(0;-9), then according to the formula above:

\(d=\sqrt{(0-3)^2+(-9+8)^2} =\sqrt{10}.\)

d≈3.16

Answer:

i think it will be 0 .....

Answer: Repeated contrast

Step-by-step explanation:

In the two way ANOVA that was performed above, there were 3 groups of which 30 people (15 men and 15 women) participants who had never learnt to play a musical instrument before were recruited and divided equally.

The ANOVA is of repeated measures. There is within group effect, between group effect and interaction effect. The result also shows significant main effect for the gender and the hours used practicing. Hence, to breakdown the effect of gender, the repeated contrast method will be utilized. The repeated contrast method compares the mean of every level with the succeeding level except the last level.

Answer:

Six units to the right. Answer C

Step-by-step explanation:

The image is IGH, which is the triangle ABD shifted to the right 6 units

Answer:

there is no slope

Step-by-step explanation:

there is no graph or points sooooooo

Answer:

  x = -1

Step-by-step explanation:

The usual approach to these is to square the radicals until they are gone.

  \(\displaystyle\sqrt{3x+7}+\sqrt{x+1}=2\\\\(3x+7) +2\sqrt{(3x+7)(x+1)}+(x+1) = 4\qquad\text{square both sides}\\\\2\sqrt{(3x+7)(x+1)}=-4x-4\qquad\text{subtract $4x+8$}\\\\(3x+7)(x+1)=(-2x-2)^2\qquad\text{divide by 2, square again}\\\\3x^2+10x +7=4x^2+8x+4\qquad\text{simplify}\\\\x^2-2x-3=0\qquad\text{subtract the left expression}\\\\(x-3)(x+1)=0\qquad\text{factor}\\\\x=3,\ x=-1\qquad\text{solutions to the quadratic}\)

Each time the equation is squared, the possibility of an extraneous root is introduced. Here, x=3 is extraneous: it does not satisfy the original equation.

The solution is x = -1.

_____

Using a graphing calculator to solve the original equation can avoid extraneous solutions. The attachment shows only the solution x = -1. Rather than use f(x) = 2, we have rewritten the equation to f(x)-2 = 0. The graphing calculator is really good at showing the function values at the x-intercepts.

The correct way to find the addition is,

           356 + 495 = 700 + 140 + 11

Option C is correct.

The given expression is,

                     356+495

It can be written in different form.

            356+495 = 300 + 400 + 56 + 95

          356 + 495 = 300 + 400 + 140 + 11

          356 + 495 = 700 + 140 + 11

Hence, above way to find the addition is correct.

Learn more about the addition here:

https://brainly.com/question/4721701

Using the normal distribution, it is found that 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 20.66, \sigma = 2.4\)

The proportion of students that are 21 or older is one subtracted by the p-value of Z when X = 21, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{21 - 20.66}{2.4}\)

Z = 0.14

Z = 0.14 has a p-value of 0.5557.

1 - 0.5557 = 0.4443 = 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

Answer:

-----------------------

Substitute 12 and 24 for n into formula and calculate.

So, the 12th term is 63 and 24th term is 123.

Step-by-step explanation:

4 1/5 x 5/14

21/5 × 5/14

21/14

=3/2

Hope it helps ya

Answer:

3/2

Step-by-step explanation:

change 4(1/5) into a proper function 21/5.

then multiply with the other fraction (5/14) the fives will cancel out, plus 21 and 14 are divisible by 7, which takes you to the final answer.

We will have that the value of x is:

x = 25.5

And the interior angles:

B = D = 78°

C = A = 102°

Remember that the sum of the interior angles of any triangle must be 180°. In the triangle at the left side we can see that we have two equal sides, so that is a isosceles triangle, then:

51° + 51° + B = 180°

B = 180° - 102°

B = 78°

That is the same angle as D, because it is a parallelogram.

Now, two adjacent angles in the parallelogram add up to 180°, then:

B + C  =180°

78° + C = 180°

C = 180° - 78° = 102°

And we can see that 4x is equal to that, so:

x = 102°/4 = 25.5°

That is the value of x.

Learn more about angles at:

https://brainly.com/question/25716982

#SPJ1

Optionally you can replace 0.25 with the fraction 1/4

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

Explanation:

The variable y varies directly with x, which means we have the template of y = kx for some constant k.

Plug in x = 8 and y = 2. Then solve for k

y = kx

2 = k*8

8k = 2

k = 2/8

k = 1/4

k = 0.25

Therefore, we go from y = kx to y = 0.25x

-------------

Check:

Plugging in x = 8 should get us to y = 2

y = 0.25x

y = 0.25*8

y = 2

The answer is confirmed.

Answer: c

Step-by-step explanation:

The relationship between the x and y variables in the scatter plot is

approximately linear.

(a) Increase in the y-variable follows from an increase in the x-variable

(b) The regression coefficient is approximately 0.9465

(c) The slope of the regression line is 2.5

(d) The equation of the regression line is approximately; y = 2.5·x + 10.5

(e) If x = 25, the value of y is 73

Reasons:

(a) From the attached graph, we have;

The increase in the x-variable gives a corresponding increase in the y-

variable.

(b) The correlation coefficient is given by plotting the given points using

MS Excel and finding the regression line, from which we have;

The regression coefficient is R ≈ √(0.8958) ≈ 0.9465

(c) The slope of the regression line is given by the slope of the line with

points (7, 28), and (9, 33), as follows;

\(Slope = \dfrac{33 - 28}{9 - 7} = 2.5\)

The slope of the regression line is approximately 2.5

(d) Using the slope, m = 2.5, we get;

Equation of regression line, is y - 33 = 2.5·(x - 9)

Which gives;

y - 33 = 2.5·(x - 9) = 2.5·x - 22.5

y = 2.5·x - 22.5 + 33 =

The equation of the line is; y = 2.5·x + 10.5

(e)  If x = 25, we have;

y = 2.5 × 25 + 10.5 = 73

Therefore, if x = 25, y = 73

Learn more here:

https://brainly.com/question/17004137

Heather's account balance will be approximately $1,340.55 after 7 years if the interest is compounded 6 times each year.

To solve this problem, we can use the formula for compound interest:

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

Where:

A is the account balance after a certain amount of time

P is the principal or initial amount invested

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time period in years

Given tha data in the question;

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 rate per year.

Substituting these values into the formula solve for accrued amount, we get:

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

A = 1,050(1 + 0.035/6)^(6 × 7)

A = 1,050(1 + 0.005833333333333)⁴²

A = 1,050(1.005833333333333333)⁴²

A = $1,340.55

Therefore, the accrued amount is $1,340.55.

Learn more about compound interest here: brainly.com/question/27128740

#SPJ1

Answer:

given point is (-3,-2)

The rule for a rotation by 270° about the origin is (x,y)→(y,−x).

So,

(-3,-2)==============(-2,3).

there fore,

(-2,3) is the image point of (-3,-2)after the transformation r(x-axis) and rotation 270°.

Answer:

20

Step-by-step explanation:

The theoretical probability of drawing 2 red marbles from the bag with replacement is one-fifth, which means that the probability of drawing 2 red marbles in any one trial is 1/5 or 0.2.

The number of times Jonah is expected to select 2 red marbles in 100 trials can be predicted using the expected value formula:

Expected value = (Number of trials) x (Probability of success in one trial)

Expected value = 100 x 0.2

Expected value = 20

Therefore, a reasonable prediction of the number of times Jonah will select 2 red marbles in 100 trials is 20. Therefore, the answer is 20.

Answer: 20 i took the test

Step-by-step explanation:

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

Answer:

8000-6=7994 is the required number

Therefore, it would take approximately 19.02 years for an investment to at least double its original amount at a semi-annual compound interest rate of 3.62%.

When an investment is made with a certain amount, the compound interest rate is used to calculate the return on investment. In addition, the number of times interest is compounded each year can have an impact on the investment's outcome.

This question asks about how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%.

To solve for how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%, we need to use the formula for the future value of an annuity:

Future value of an annuity = Payment (1 + r/n)^(nt)where:r is the annual interest raten is the number of times interest is compounded per year Payment is the original amount is the number of years

To solve for t, we can rearrange the formula as follows:t = log(Payment/Future value of an annuity) / log(1 + r/n)where log is the natural logarithm.

The future value of the investment is double the original amount, so we can plug in 2 for Future value of an annuity and simplify the formula to get:t = log(2) / log(1 + 0.0362/2)t = 19.02 years

For such more question on compound

https://brainly.com/question/29547278

#SPJ8

Answer/Step-by-step explanation:

✔️when x = 0:

\( 4^{-x} \)

Plug in the value of x

\( 4^{-0} \)

\( \frac{1}{4^0} \) (negative exponent)

\( \frac{1}{1} \) (whatever number that is raised to the power of 0 = 1)

a = 1

✔️when x = 2:

\( 4^{-x} \)

Plug in the value of x

\( 4^{-2} \)

\( \frac{1}{4^2} \) (negative exponent)

\( b = \frac{1}{16} \)

✔️when x = 4:

\( 4^{-x} \)

Plug in the value of x

\( 4^{-4} \)

\( \frac{1}{4^4} \) (negative exponent)

\( c = \frac{1}{256} \)

The two inequalities that the graph represents are:

y < -x + 4

y ≤ ²/₃x - 4

An inequality can be represented graphically as a region on one side of a line. Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

The first inequality is the one with the dashed line and a y-intercept of 4 and so since shaded below line, we will use the symbol <.

The slope from two coordinates on the line (0, 4) and (4, 0) is:

(0 - 4)/(4 - 0) = -1

Thus, inequality is:

y < -x + 4

The first inequality is the one with the solid line and a y-intercept of -4 and so since shaded below line, we will use the symbol ≤.

The slope from two coordinates on the line (0, -4) and (6, 0) is:

(0 + 4)/(6 - 0) = 2/3

Thus, inequality is:

y ≤ ²/₃x - 4

Read more about Inequality Graph at: https://brainly.com/question/11234618

#SPJ1

Using the FOIL method, we must find the value of:

Multiplying the terms, we get:

• First: 5 * 6 = 30

• Outside: 5 * (-2i ) = -10i

• Inside: 4i * 6 = 24i,

• Last: 4i * (-2i) = -8i² = 8.

Answers

• 30

• -10i

• 24i

• -8i^2

• 8

Answer: J - Study. walk. phone, chores

The solution of this expression is 37

To solve this, first calculate the operations in parentheses.
Then perform the other operations, following the order of resolution

\(\begin{array}{l}\sf (6 + 3)2-17\times 3 + 70\\\sf 9\times 2-51+ 70\\\sf 18-51+ 70\\\sf 88-51\\\therefore \bf 37\end{array}\)

For this expression, the result is 37

brainly.com/question/30991005

If you have any question about this solution, you can ask me in the comments :)

Answer:

12-x*3

Step-by-step explanation:

Answer:

12-3x

Step-by-step explanation:

The number (x) is multiplied by three. the product will then be subtracted from 12.

B. 1, 3, 9, 27

Geometric Sequence is being multiplied by factor of 3.

Answer:

B

Step-by-step explanation:

B is $3.273, because the 3 at the end is less than 5, it rounds down to $3.27, which is the value that you want.

Therfore, the answer is B.

Brainliest?

I would really appreciate it!