X
(6x + 51).
Х
?
69
2
.

Answer:

the third one (2,-18)

Step-by-step explanation:

(a) 8:30 am

(b) 17 minutes

(c) 10:15

Answer:

(0, 3)

Step-by-step explanation:

midpoint = x1+ x2 ÷2

y1+ y2 ÷ 2

Answer: 3.8 should be your answer hope this helped

Step-by-step explanation:

pleas make brainly

Answer:

\(3 \frac{3}{ 19} \)

Answer:

Step-by-step explanation:

JK + KL = JL

where:

JK = 7x + 8

KL = 2x + 2

JL = 55

plugin values into the equation:

7x + 8 + 2x + 2 = 55

7x + 2x = 55 - 8 - 2

9x = 45

x = 45 / 9

x = 5

KL = 2x + 2

KL = 2(5) + 2

KL = 12

Answer:

TRUE

Step-by-step explanation:

In a function, every domain value (x-value) must have exactly one corresponding range value (y-value). This means that in a function, an x-value or input value cannot have two different y-value or output value. Or else, it ceases to be a function.

So, when you substitute a certain value of x into the equation of a function, you can only have one exact value of y for that value of x.

Answer:

21

Step-by-step explanation:

Therefore, By using the formula actual distance = (Map distance) x (Scale ratio) the actual distance of 20 cm on the map of 1:32000 is 0.000625 km or 625 meters.

A ratio scale is a numerical scale with a genuine zero and uniform distances between adjacent points. The Kelvin scale is an illustration of a ratio scale. The actual zero point exists on a Kelvin scale.

Two locations that are close to one another are said to be adjacent points.

A scale of 1:32000 means that one unit of measurement on the map represents 32000 units of the same measurement in the real world.

To calculate the actual distance of 20 cm on the map,

We know,

Actual distance = (Map distance) x (Scale ratio)

Actual distance = (20 cm) x (1/32000)

Actual distance= 20/32000

Actual distance = 0.000625 km or 625 meters.

To know more about the scale of a map visit: https://brainly.com/question/29495583

#SPJ1

Radius of the semicircle is 8 km and diameter is 16 km.

What is area of the semicircle?

The area of the semicircle can be determined using the formula,\(A = 1/2 * \pi * r^2\)

The area of a semicircle is given by the formula:

\(A = 1/2 * \pi * r^2\)

where A is the area and r is the radius.

We are given that the area of the semicircle is 32π km². So, we can set up the equation:

\(32\pi = 1/2 * \pi * r^2\)

Simplifying this equation, we get:

r² = (2 × 32π) / π = 64

Taking the square root of both sides, we get:

r = 8 km

So, the radius of the semicircle is 8 km.

The diameter of the semicircle is twice the radius, so:

d = 2r = 2 × 8 km = 16 km

Therefore, the diameter of the semicircle is 16 km.

To know more about area of the semicircle visit,

https://brainly.com/question/15822332

#SPJ1

Answer:

or;4x=-1-7

or;4x=-8

or;x=-8/4

x=-2

(a) The proportion of the area under the curve lying to the left of t = -2.518 is 0.0105. (b) The proportion of the area lying to the right of t = 1.323 is 0.1004. (c)  The proportion of the area lying between t = -1.721 and t = 2.831 is 0.995.   (d) The value of t that cuts off the lower 2.5% of the distribution is -2.080.

(a) The proportion of the area under the curve that lies to the left of t = -2.518 can be found by using the t distribution table. For 21 degrees of freedom and t = -2.518, the corresponding area is 0.0105.

(b) The proportion of the area under the curve that lies to the right of t = 1.323 can be found by using the t distribution table. For 21 degrees of freedom and t = 1.323, the corresponding area is 0.1004.

(c) The proportion of the area under the curve that lies between t = -1.721 and t = 2.831 can be found by subtracting the area to the left of t = -1.721 from the area to the left of t = 2.831. Using the t distribution table, the area to the left of t = -1.721 is 0.0505 and the area to the left of t = 2.831 is 0.995.

(d) The value of t that cuts off the lower 2.5% of the distribution can be found by using the t distribution table. For 21 degrees of freedom and an area of 0.025 to the left of t, the corresponding value of t is -2.080.

Know more about proportion here:

https://brainly.com/question/870035

#SPJ11

Check the picture below.

so the polygon is really just a 5x7 rectangle with a triangle that has a base of 7 units(vertically) and a height of 2 units.

\(\stackrel{\textit{\LARGE Areas}}{\stackrel{rectangle}{(5)(7)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(7)(2)}}\implies 35~~ + ~~7\implies \text{\LARGE 42}~units^2\)

Answer:

Because the residual plot does not show a clear pattern, a linear model is appropriate.

Step-by-step explanation:

The regression sum of squares (RSS) represents: a. The amount of variation in Y around its mean that the regression function can account for.

The regression sum of squares serves as the  sum of the differences that exist between the predicted value and the mean of the variable.

The Sum of Squared Error  however states the difference between the observed  and the predictive value.

Learn more about  regression sum of squares on:

https://brainly.com/question/19953642

#SPJ1

Answer:

Step-by-step explanation:

answer = 1/2 r + m

m = 7

r = 8

answer = 1/2 * 8 + 7

answer = 4 + 7

answer = 11

Answer:

384 cm^3

Step-by-step explanation:

the volume formula:

     V = a*b*c,

where a - length, b - width, c - height

so, the volume of the solid is V = 4*8*12 = 384 cm^3

The volume of the solid, if the length is 4 centimeters, the width is 8 centimeters, and the height is 12 centimeters is 384 cm³.

To find the volume of the solid, we need to multiply the length, width, and height together. So, the volume of the solid is:

V = l x w x h
V = 4 cm x 8 cm x 12 cm
V = 384 cm³

Therefore, the volume of the solid is 384 cubic centimeters (cm³).

To find the volume of a solid with given dimensions, you can use the formula for the volume of a rectangular prism, which is Volume = Length × Width × Height. In this case, the length is 4 centimeters, the width is 8 centimeters, and the height is 12 centimeters.

Now, let's plug these values into the formula:

Volume = (4 cm) × (8 cm) × (12 cm)

By multiplying these numbers together, you'll get the volume of the solid:

Volume = 384 cubic centimeters (cm³)

So, the volume of the solid with the given dimensions is 384 cm³.

To learn more about volume, click here:

brainly.com/question/1578538

#SPJ11

The number of observations in a complete data set with 10 elements and 5 variables is a. data.

In the context of data analysis, a complete data set refers to a collection of data that includes all the required observations or cases. In this scenario, the data set consists of 10 elements, which represent the individual observations or data points. Each element is associated with 5 variables, which are the characteristics or attributes being measured or observed.

Therefore, the number of observations in this data set is determined by the number of elements, which is 10. The term "observations" refers to the individual data points or cases in the data set. The other options, such as "variables" and "elements," do not accurately represent the count of observations in this context.

Hence, the correct answer is a. data, indicating that the number of observations in the complete data set is determined by the number of elements, which in this case is 10

To know more about data sets, visit:
brainly.com/question/29011762

#SPJ11

Using a system of equations, we have that:

1. The table is completed on the image given at the end of the answer.

2. The equation is: 35w + 25t = 1600.

A system of equations is a set of equations in the context of a problem, and solving these equations, the numeric value of each variable in the context of the problem is found.

The variables in this problem are defined as follows:

A jug of drinking water weighs 35 pounds and a case of paper towels weighs 25 pounds. The truck can carry 1,600 pounds of cargo altogether. Hence the equation is:

35w + 25t = 1600.

When w = 10, the numeric value of t is obtained as follows:

35(10) + 25t = 1600

t = (1600 - 350)/25

t = 50.

When w = 30, the numeric value of t is obtained as follows:

35(30) + 25t = 1600

t = (1600 - 1050)/25

t = 22.

When t = 8, the numeric value of w is obtained as follows:

35w + 25(8) = 1600

w = 1400/35

w = 40.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Answer:

Step-by-step explanation:

Step-by-step explanation:

\( \large{ \sf \underline{Solution - }}\)

\( \sf To \: rationalise \: = \: \dfrac{3 \sqrt{2} - 2 \sqrt{3}}{\sqrt{8} + \sqrt{27} } \)

\( \sf \dashrightarrow \dfrac{3 \sqrt{2} - 2 \sqrt{3}}{2 \sqrt{2} + 3 \sqrt{3} } \)

\( \sf \dashrightarrow \dfrac{3 \sqrt{2} - 2 \sqrt{3}}{2 \sqrt{2} + 3 \sqrt{3} } \times \dfrac{2 \sqrt{2} - 3 \sqrt{3}}{2 \sqrt{2} - 3 \sqrt{3}} \)

\( \sf Combine \: the \: fractions, \)

\( \sf \dashrightarrow \dfrac{(3 \sqrt{2} - 2 \sqrt{3})(2 \sqrt{2} - 3 \sqrt{3})}{(2 \sqrt{2} + 3 \sqrt{3} )(2 \sqrt{2} - 3 \sqrt{3})} \)

\( \sf \underline{Solving \: denominator} , \)

\( \sf We \: know \: that, \)

\(\sf \dashrightarrow \boxed{ \tt (a + b)(a - b) = a^{2} - b ^{2}}\)

\( \bf So , \)

\( \sf \dashrightarrow \dfrac{(3 \sqrt{2} - 2 \sqrt{3})(2 \sqrt{2} - 3 \sqrt{3})}{(2 \sqrt{2})^{2} - (3 \sqrt{3} )^{2} } \)

\( \sf \dashrightarrow \dfrac{(3 \sqrt{2} - 2 \sqrt{3})(2 \sqrt{2} - 3 \sqrt{3})}{8 - 27 } \)

\( \sf \dashrightarrow \dfrac{(3 \sqrt{2} - 2 \sqrt{3})(2 \sqrt{2} - 3 \sqrt{3})}{ - 19 } \)

\( \sf \underline{Solving \: numerator}, \)

\( \sf \dashrightarrow \dfrac{3 \sqrt{2} (2 \sqrt{2} - 3 \sqrt{3})- 2 \sqrt{3}(2 \sqrt{2} - 3 \sqrt{3})}{ - 19 } \)

\( \sf \dashrightarrow \dfrac{12 - 9 \sqrt{6} - 4 \sqrt{6} + 18}{ - 19 } \)

\( \sf \dashrightarrow \dfrac{30 - 13 \sqrt{6} }{ - 19 } \)

\( \sf \dashrightarrow - \dfrac{30 - 13 \sqrt{6} }{ 19 } \)

\( \bf Hence, \)

\( \sf On \: rationalising \: we \: got,\)

\( \bf \dashrightarrow - \dfrac{30 - 13 \sqrt{6} }{ 19 }\)

The function f(x - 5/3) is translated 5/3 units right and the function f(x) - 5/3 is translated 5/3 units down.

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over the y-axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

Given, A function f(x) is transformed to f(x - 5/3) this results in f(x) is translated 5/3 units to the right along the x-axis.

And, The transformation f(x) - 5/3 is translated 5/3 units down along the y-axis.

learn more about the transformation of functions here :

https://brainly.com/question/13810353

#SPJ1

The probability that Marcus has to make the new dish exactly 15 times before it goes on the menu is approximately 0.053. The probability that the investor will double his investment is approximately 0.315.

To find the probability that Marcus has to make the new dish exactly 15 times before it goes on the menu, we need to calculate the probability of exactly 10 successes (perfect executions) out of the first 14 attempts and then the probability of a success on the 15th attempt. Each attempt has an 80% chance of success.

Using the binomial probability formula, the probability of exactly k successes in n attempts, with a success probability p, is given by:

\(P(X = k) = (n choose k) * (p^k) * ((1 - p)^(n - k))\)

In this case, we want to calculate\(P(X = 10) * P(X = 1) = (14 choose 10) * (0.8^10) * (0.2^4) * (0.8^1) = 0.0577 * 0.00016 ≈ 0.0092.\)

Therefore, the probability that Marcus has to make the new dish exactly 15 times before it goes on the menu is approximately 0.0092 or 0.92%.

To calculate the probability that the investor will double his investment, we need to consider the scenario where Marcus attempts the recipe once per day until the meeting. Since he has 6 days left and he has already executed the recipe 5 times successfully, he has 1 remaining attempt.

The probability of a success on the last attempt is 0.8, and the probability of failure is 0.2. Therefore, the probability that the investor will double his investment is P(X = 1) = 0.8.

Hence, the probability that the investor will double his investment is approximately 0.8 or 80%.

The binomial probability formula is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent Bernoulli trials. In this case, Marcus's attempts to execute the recipe can be modeled as a binomial distribution since each attempt has a fixed probability of success (80%) and the attempts are independent. By applying the formula, we can determine the probabilities associated with the number of successes and make informed decisions based on those probabilities.

Learn more about Marcus

brainly.com/question/2426405

#SPJ11

The monthly payments for the same loan would be approximately $694.12.

To calculate the annual payment required to pay off a four-year, $27,000 loan at an interest rate of 9 percent EAR, we can use the formula for the present value of an ordinary annuity:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where:

PV = Loan amount = $27,000

PMT = Annual payment

r = Interest rate per period = 9% = 0.09

n = Number of periods = 4

Plugging in these values into the formula, we can solve for PMT:

$27,000 = PMT * (1 - (1 + 0.09)^(-4)) / 0.09

Simplifying the equation, we have:

$27,000 = PMT * (1 - 0.708222) / 0.09

$27,000 = PMT * 0.291778 / 0.09

PMT = $27,000 * 0.09 / 0.291778

PMT ≈ $8,329.40 (annual payment)

To calculate the monthly payments for the same loan, we can divide the annual payment by 12:

Monthly payment = $8,329.40 / 12

Monthly payment ≈ $694.12

Therefore, the monthly payments for the same loan would be approximately $694.12.

learn more about payments on

https://brainly.com/question/15136793

#SPJ11

Answer:

independent is the time. time does change throughout the experiment.

Dependent is texting speed as it can vary.

hope this helps :)

Answer:

1

Step-by-step explanation:

concepts used is law of indices

where

(a^b)^c = a^bc

a^m/a^n = a^(m-n)

a^m *a^n = a^(m+n)

a^0 = 1

_______________________________________

50000)^2 = (5*10^4)^2 = 25*10^8

(0.00002)^3 = (2*10^-5)^3 = 8*10^-15

(0.0000001) = 10^-7

now

(50000)^2×(0.00002)^3\(200)×(0.0000001) =  25*10^8 * 8*10^-15/200*10^-7

  = 200*10^8-15-(-7)/200 = 10^-7 +7 = 10^0 = 1

Thus,1 is the answer

The area of the right triangle is 216 square units.

Given is right triangle with height 18 units and hypotenuse 30 units we need to find the area of the right triangle,

To find the area of a right triangle, you can use the formula:

Area = (base × height) / 2

In this case, the height of the triangle is given as 18 units.

To find the base, we can use the Pythagorean theorem since the hypotenuse and height are known.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's denote the base of the triangle as 'b'.

We have the following information:

Height (h) = 18 units

Hypotenuse (c) = 30 units

Using the Pythagorean theorem:

c² = a² + b²

30² = 18² + b²

900 = 324 + b²

b² = 900 - 324

b² = 576

b = √576

b = 24

Now that we have the height (18 units) and the base (24 units), we can substitute these values into the area formula:

Area = (base × height) / 2

Area = (24 × 18) / 2

Area = 432 / 2

Area = 216 square units

Therefore, the area of the right triangle is 216 square units.

Learn more about right triangle click;

https://brainly.com/question/30966657

#SPJ1

Based on the information provided, it is difficult to determine whether this school's giving rate should be greater than or less than 8%.

The factors mentioned, such as the graduation rate, student-to-faculty ratio, class sizes, and freshman retention rate, provide some insight into the school's characteristics but do not directly indicate the giving rate. The giving rate refers to the percentage of alumni or donors who contribute financially to the school.

To assess whether the giving rate should be greater than or less than 8%, additional information related to the school's fundraising efforts, alumni engagement, and past giving patterns would be necessary. Factors such as alumni participation rates, donation campaigns, and fundraising initiatives play a significant role in determining the giving rate.

Therefore, without specific data on the school's fundraising efforts and historical giving patterns, it is not possible to conclusively determine whether the giving rate should be greater than or less than 8%. Further analysis and information are needed to make an accurate assessment.

Learn more about retention rate here:

https://brainly.com/question/30100220

#SPJ11