find the distance from the point a(−3 4 −5) to the yz-plane x

Answer:

(-6.5, 3)

7.2units

Step-by-step explanation:

Given the coordinate

A =(-26, -15)

B = (13, 21)

Midpoint of A and B is expressed as;

X = -26+ 13/2

X = -13/2

X = -6.5

Y = -15+21/2

Y = 6/2

Y = 3

Hence the required midpoint is (-6.5, 3)

b) The distance between the coordinate (-6.5, 3) and (0,0) is expressed as;

D = √(-3)²+(0+6.5)²

D = √9+42.25

D = √51.25

D = 7.2units

Hence the distance between the  midpoint and the base camp is 7.2units

Answer:

355 ounces

Step-by-step explanation:

Okay! We're going to have to use some conversion factors for this problem, since we're working with two different units (pounds and ounces). We know that there are 16 ounces in a pound - that's our first conversion factor. We can use it to write up a little equation to help us:

\(\frac{22lbs}{1} *\frac{16oz}{1lb} + 3 = x\)

"x" is the total amount of ounces. Does everything in that equation make sense? The first multiplication part tells us how many ounces are in 22 pounds, and the second part (+ 3) adds the 3 ounces that were there from the beginning. Now, it's time to calculate.

\(\frac{22bs}{1} *\frac{16oz}{1lb} + 3 = x\\\)

\(\frac{352oz}{1} + 3 = x\)

\(352+3 = x\)

\(x=355\)

So, there are 355 ounces in a bike that weighs 22 pounds and 3 ounces. Hopefully that's helpful! :)

The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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Answer:

C

Step-by-step explanation:

Plot your point at (-9,0) then draw your line with your slope (plot some other points first). Using algebra rearrange your y=mx+b formatted equation.

y=-5/3x-15, 3y = -5x - 45, 5x + 3y = -45

Answer:

2 hours 32 minutes

Step-by-step explanation:

Subtract.

If you could subscribe to my friend penny_pg3d on YT, that would be great! :)

It should be noted that based on the ratio given, the number of pasta that could be made will be 15 pasta.

Your information is incomplete. Therefore, an overview will be given. In this case, let's assume that the ratio of pizza to pasta is given as 3:5.

Since they both will make 9 pizzas, then the computation for pasta goes thus:

= 5/3 × 9

= 5/3 × 3

= 15

In this case, the number of pasta that they will make will be 15 pasta.

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The formula for a 95% confidence interval for the variance (σ2) is given by (Lower limit, Upper limit) = ((n - 1) s2 / χ2α/2, (n - 1) s2 / χ2(1 - α/2))

where, n is the sample size, s2 is the sample variance, χ2α/2 and χ2(1 - α/2) are the upper (right-tail) and lower (left-tail) critical values of the chi-square distribution with n - 1 degrees of freedom and α/2 is the level of significance.

α = 1 - 0.95

= 0.05

and therefore α/2 = 0.025

The sample size (n) = 15

The sample variance (s2) = 12.5

Using the chi-square distribution table with 14 degrees of freedom at a 0.025 level of significance, we get

χ2α/2 = 6.5706 (upper critical value)

χ2(1 - α/2) = 27.4884 (lower critical value)

Substituting the values in the formula, we get

(Lower limit, Upper limit) = ((n - 1) s2 / χ2α/2, (n - 1) s2 / χ2(1 - α/2))

= ((15 - 1) x 12.5 / 6.5706, (15 - 1) x 12.5 / 27.4884)

= (19.0974, 56.3788)

Therefore, the 95% confidence interval for the population variance is (19.0974, 56.3788)

The confidence interval for the population variance is given by (19.0974, 56.3788). This implies that if we were to repeat the process of taking samples from the population multiple times, 95% of the intervals we obtain would contain the true value of the population variance.

Thus, with 95% confidence, we can say that the true value of the population variance lies between 19.0974 and 56.3788.

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Answer:

The value of the given expression is -6.93

Step-by-step explanation:

The expression in the question is given as:

negative 15 plus the quantity negative 3 and seven tenths plus 9 and 15 hundredths end quantity divided by 5 all times 3 squared minus 4 and 7 tenths

Rewrite the expression properly

So, we have

-15 - 3.7 + 9.15/5 * 3^2 - 4.7

Evaluate the quotient and the exponent

So, we have

-15 - 3.7 + 1.83 * 9 - 4.7

Evaluate the product

-15 - 3.7 + 16.47 - 4.7

Evaluate the sum and the difference

-6.93

Hence, the value of the given expression is -6.93 (none of the options is correct)

Answer:

Step-by-step explanation:

meow goofy kid

By applying online survey method concept, it can be concluded that the company is using reward in the form of a $2.00 payment and an incentive by telling the readers that his or her input will make a difference (option D).

Online survey is a common survey method used by companies to gather data from a sample of the population.

Response rate is defined by the percentage of persons asked to answer a survey who actually answer the survey.

The company is using an online survey to allow them to reach a larger sample of people and gather data more efficiently.

However, by offering a small reward in the form of the $2.00 payment and an incentive by telling the readers that his or her input will make a difference, the company is hoping to increase the response rate and get more accurate results from the survey.  (option D)

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Full question:

Suppose you are reading an article online when the following text appeared in a popup window:

"Would you be interested in participating in a short health-related survey? If you qualify and complete this survey, you will receive $2.00".

What tactic is being used to increase the response rate for this survey? A. The company is selecting people randomly.

B. The company is using an online survey.

C. The company is using callbacks.

D. The company is using a reward in the form of the $2.00 payment and an incentive by telling the readers that his or her input will make a difference

Answer:

Step-by-step explanation:

take b, divide it by 2 and then square it

(6/2)²=9 so add then subtract 9

(x²+6x+9)+3-9

x²+6x+9=(x+3)²

3-9= -6

(x+3)²-6

The vertex is a minimum and the coordinates are (-3,-6)

Answer:

The answer for Q35 is : 176 cubic feet

Step-by-step explanation:

V = 16×3×2+16×5

= 96 + 80

= 176 cubic feet

Answer:

\(\bigodot\) None of the other answers are correct.

Step-by-step explanation:

Answer:

usYou use numbers in money and in constructenine numbers in evrything.

Step-by-step explanation:

From 0 and 1, we can see that there are a total of 8 lines. Therefore, each line is a 1/8 or 0.125 increase to the right (0.125 decrease to the left.)

So, the point marked on the number line is - 1 + 0.125 = -0.875

The probability that a person on the list, known to have a Mastercard, also has an American Express card is  50%.

To find the probability that a person on the list, known to have a Mastercard, also has an American Express card,  use conditional probability.

Let's denote the following probabilities:

P(M) represents the probability of having a Mastercard.

P(A) represents the probability of having an American Express card.

P(A|M) represents the conditional probability of having an American Express card given that the person has a Mastercard.

From the given information,

P(M) = 40% = 0.40 (40% of the people on the list have only a Mastercard).

P(A) = 10% = 0.10 (10% of the people on the list have only an American Express card).

P(M ∩ A) = 20% = 0.20 (20% of the people on the list have both Mastercard and American Express cards).

P(neither) = 30% = 0.30 (30% of the people on the list have neither card).

To find P(A|M), use the formula for conditional probability:

P(A|M) = P(M ∩ A) / P(M)

P(A|M) = 0.20 / 0.40

P(A|M) = 0.50

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Answer:

Evaluating Exponents. An exponent is a number that tells how many times the base number is used as a factor. For example, 34 indicates that the base number 3 is used as a factor 4 times. To determine the value of 34, multiply 3*3*3*3 which would give the result 81

Hello! your answer is:

6 miles per hour

explanation:

Distance traveled, d = 2 1/2 miles = 5 / 2 miles

time taken, t = 5 / 12 hour

Speed is defined as the ratio of distance traveled to the time taken.

speed = 6 miles per hour

Thus, the unit rate of Chen is 6 miles per hour.

Answer:

True

Step-by-step explanation:

If two of the half planes never intersect, there is no way for the lines to reach each other hence giving no soultion

Answer:

its false

Step-by-step explanation:

The distance at which pumpkins are the same height.

What do you mean by X and Y coordinates?

The X and Y coordinates are an address that help locate a point in two dimensions of space. The coordinates (x, y) are used to represent any point in the coordinate plane. The x value indicates the point's position in regard to the x-axis, and the y value indicates its position in relation to the y-axis.

Both equations' graphs would be at an intersection, which would indicate that their x and y coordinates are identical. The same y coordinate would indicate being at the same height at that precise distance since y refers to the pumpkin's height.

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Answer:

D). the horizontal distance of the pumpkins from the launch site when their heights are the same

Step-by-step explanation:

I took the flipping test nickle

Answer:

30 students

Step-by-step explanation:

First, subtract 2 from 122:

122 - 2

= 120

Then, divide this by 4:

120/4

= 30

So, there are 30 students in his class.

Answer:

30 students

Step-by-step explanation:

Answer:

option c.

n=12

.................................

Age will be 40 years old.

R, in beats per minute, can be approximated by the formulas, where a represents the person's age.

where R= 143 - 0.65a for women.... (1)

and R= 165 - 0.75a for men,..... (2)

So by implementing these two equation we get a = 40

If the sum of ages is X and Y, and the ratio of their ages is p:q, then the age of Y can be calculated using the formula shown below: Y's age = Y's ratio/Sum of ratios x sum of ages The age dependency ratio is the ratio of dependents (people under the age of 15 or over the age of 64) to the working-age population (people between the ages of 15 and 64). The proportion of dependents per 100 working-age population is shown in the data.

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Answer:

24

Step-by-step explanation:

8%=8/100

& 8/100 of 60=4.8  ( "of" in mathematic means "multiply")

check if you get 4.8 by multiplying each of the given options by  1/5

1/5 0f 24=4.8

So 24 will be the ans

Determine the probability that actual weight is within 0.45 g of the prescribed weight we need to integrate with 2.55 to 3.45

we have to integrate  with : 2.55 to 3.45

p(3-0.45<X<3+0.45)

P( 2.55<X<3.45)

= [2.7-24.47-24.3+48.609/3]

=0.6325

What is probability:

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

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The question was incomplete. Check below the complete question.

The actual tracking weight of a stereo cartridge that is set to track at 3 g on a particular changer can be regarded as a continuous rv X with the following pdf. f(x) = k 1 ? (x ? 3)2 2 ? x ? 4 0 otherwise.

Answer:

.2 degrees

Step-by-step explanation:

180-170 is 10

10/50 is .2

The size of the other angle will be 0.2 degrees.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

It is given that a polygon has 50 sides but one of its angles is 170 degrees.

The remaining angle will be calculated as:-

180-170 = 10

The size of the other angle is calculated below:-

Angle = 10/50

Divide the value 10 by 50 to get the angle.

Angle = 0.2

Therefore, the size of the other angle will be 0.2 degrees.

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The true statement is (b) the random variable is x, the possible values are 0 to 3 and the values are numerical

The table is added as an attachment

From the attached image, we have:

Number of girls (x)          P(x)

0                                         0.125

1                                         0.375

2                                         0.375

3                                         0.125

In the above, the random variable is x, while P(x) represents its probabilities.

Also, the possible values are 0 to 3 as shown in the table.

0 to 3 are numerical digits, and the values are numerical

Hence, the true statement is (b)

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i. The local maxima and minima are 3 and 2

ii. The absolute maximum of f(x,y) over the region is 3/2  at (1/√2, 1/√2), and the absolute minimum is -1/2, which is attained at (-1/√2, -1/√2).

iii.  There are no other critical points inside the disk, so we cannot tell whether they are extreme or saddle points.

i. To find the maxima and minima of the function f(x,y) = x² + y² + xy over the region {(x,y): x² + y² ≤ 1}, we first find the critical points by setting the partial derivatives equal to zero:

f(x) = 2x + y = 0

fy = 2y + x = 0

Solving these equations simultaneously gives the critical point (-1/3, 2/3). We now need to check if this is a local maximum, local minimum or a saddle point. To do this, we use the second partial derivative test.

f(xx) = 2, f(xy) = 1, fyy = 2

The determinant of the Hessian matrix is Δ = f(xx)f(yy_ - (fxy)² = 2(2) - (1)² = 3, which is positive, and f(xx) = 2, which is positive. Therefore, the critical point is a local minimum.

ii. To find the absolute maximum and minimum, we need to consider the boundary of the region. Let g(x,y) = x² + y² be the equation of the circle with radius 1 centered at the origin. We can parameterize this curve as x = cos(t) and y = sin(t), where 0 ≤ t ≤ 2π.

Substituting this into the function f(x,y), we get:

h(t) = f(cos(t), sin(t)) = cos²(t) + sin²(t) + cos(t)sin(t) = 1 + (1/2)sin(2t)

We now find the critical points of h(t) by setting dh/dt = 0:

dh/dt = cos(2t) = 0

This gives t = π/4 and 5π/4.

Substituting these values into h(t), we get:

h(π/4) = 3/2

h(5π/4) = -1/2

Therefore, the absolute maximum of f(x,y) over the region is 3/2, which is attained at (1/√2, 1/√2), and the absolute minimum is -1/2, which is attained at (-1/√2, -1/√2).

iii. There are no other critical points inside the disk, so we cannot tell whether they are extreme or saddle points.

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