what is the answer?​

#1

Hence inequality will be

\(\\ \sf\longmapsto -6\leqslant 5\)

#2.

But we need inequality

\(\\ \sf\longmapsto 3\leqslant 5\)

#3

The inequality given by

\(\\ \sf\longmapsto -6\leqslant 3\leqslant 5\)

Answer:

Step-by-step explanation:

Given numbers:

If we add these onto number line, we'll see them in same order from left to right.

We know the numbers increase from left to right on the number line, so the numbers to the left are smaller than the numbers to the right.

1.

2.

3.

Answer:

Step-by-step explanation: 15

Mean means average, add all numbers and divide by amount

Mean= (15+12+14+19+x)/5

        =(60+x)/5

Median means to list numbers in order and pick the middle one

12 14 15 19       x is somewhere in the list in middle

Mode means the number that occurs the most, so 1 of these numbers is repeated

It must be 14 or 15 because the median must be the same as the mean

let's try both

(60+14)/5 =14.8                  (60+15)/15=15

The answer is 15.

The median of the data is M = 15 and the value of x = 15

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

The mean is calculated by summing all the numbers and dividing by the total count of numbers. In this case, we have 5 numbers, including x.

Mean = (15 + 12 + 14 + 19 + x) / 5

Since the mean is also equal to the median, we can rearrange the numbers in ascending order:

12, 14, 15, 19, x

The median is the middle number in a sorted list of numbers. In this case, the median is 15.

Since the mode is also equal to the mean and median, and we can see that 15 is the only number that appears more than once in the list, we can conclude that 15 is also the mode.

Setting the mean equal to 15 and solving for x:

15 = (15 + 12 + 14 + 19 + x) / 5

Multiplying both sides by 5 to eliminate the fraction:

75 = 15 + 12 + 14 + 19 + x

Subtracting the known numbers from both sides:

75 - (15 + 12 + 14 + 19) = x

15 = x

Hence , the value of x is 15 and median is 15

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Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the types of injuries and the frequency of each injury are not given.

A general way to solve a question like this, is as follows;

First: Calculate the total frequency.

Assume the given dataset is:

\(\begin{array}{cc}{Injury} & {Frequency} & {Dislocation} & {20} & {Strain} & {5} & {Broken\ Bone} & {10} & {Bruise} & {15} \ \end{array}\)

The total frequency is:

\(Total =20 + 5 + 10 + 15\)

\(Total =50\)

Next, write out the frequency of broken bone injuries

\(Broken\ Bone = 10\)

Calculate the probability by dividing the number of broken bone by the total frequency

\(Pr= \frac{10}{50}\)

\(Pr = 0.20\)

The height of the tree is 66.5488 feet.

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

In mathematics, the angle of elevation is defined as "the angle created between the horizontal line and the line of sight when an observer looks upwards." It is always higher than the observer and at a larger angle. When a person stares downward, they create an angle of depression, which is the opposite of an elevation angle.

Given:

angle= 52 degree.

base distance= 52 feet

Using Trigonometry

tan 52 = P/B

1.2799= P / 52

P= 66.5488

Hence, the height of the tree is 66.5488 feet.

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Answer:

4/9

Step-by-step explanation:

Multiply each answer choice by 3/4 or 1/3 and they will all be wrong except for 4/9.

3 x 4 = 1/3

so 4/9

Answer:

C 230, 92, 75, -52, -92

Step-by-step explanation:

from greatest to least.

please tell your teacher it would correctly be called "from highest to lowest".

but he/she was only focusing on numbers. understandably. so, from the greatest value to the least value.

positive numbers get smaller in their absolute values, when we go to the smaller side, but negative numbers get "bigger" in their absolute values, when we go to the smaller side.

-2 is smaller or lower than -1

and so on.

that is the reason for the correct answer.

Answer:

The answer is 50.2 m

Step-by-step explanation:

Given a=34 and b=37,

c = 50.24938

∠α = 42.58° = 42°34'50" = 0.74317 rad

∠β = 47.42° = 47°25'10" = 0.82763 rad

h = 25.03514

area = 629

perimeter = 121.24938

inradius = 10.37531

circumradius = 25.12469

Answer:

For a line to be parallel it must have the same slope. So the slope of the new equation is 6.

The slope intercept form is y=mx+b. And we have a point (3,-5). Plug in what we know....

-5=6(3)+b

Solve for b (the y-intercept)

b= -23

Therefore.... y=6x-23

??? does that help????

Answer:

800 seconds or 13 minutes 20 seconds

Step-by-step explanation:

.......

Answer:

none

Step-by-step explanation: they get it each year not month, ummm right

The probability of picking one bolt and one nut is 1/2 or 50%.

To find the probability that one is a bolt and one is a nut, we need to use the formula for calculating the probability of two independent events happening together: P(A and B) = P(A) × P(B)

Let's first calculate the probability of picking a bolt from the box:

P(bolt) = number of bolts / total number of parts = 3/6 = 1/2

Now, let's calculate the probability of picking a nut from the box:

P(nut) = number of nuts / total number of parts = 3/6 = 1/2

Since the events are independent, the probability of picking a bolt and a nut in any order is:

P(bolt and nut) = P(bolt) × P(nut) + P(nut) × P(bolt)

P(bolt and nut) = (1/2) × (1/2) + (1/2) × (1/2)

P(bolt and nut) = 1/2

Therefore, the probability of picking one bolt and one nut is 1/2 or 50%.

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the probability that one chosen part is a bolt and the other chosen part is a nut is 1, or 100%. This makes sense because if we choose two parts at random, we must get one bolt and one nut since there are three of each in the box.

To find the probability that one chosen part is a bolt and the other chosen part is a nut, we need to use the formula for probability:

Probability = (number of desired outcomes) / (total number of outcomes)

There are two ways we could choose one bolt and one nut: we could choose a bolt first and a nut second, or we could choose a nut first and a bolt second. Each of these choices corresponds to one desired outcome.

To find the number of ways to choose a bolt first and a nut second, we multiply the number of bolts (3) by the number of nuts (3), since there are 3 possible bolts and 3 possible nuts to choose from. This gives us 3 x 3 = 9 total outcomes.

Similarly, there are 3 x 3 = 9 total outcomes if we choose a nut first and a bolt second.

Therefore, the total number of desired outcomes is 9 + 9 = 18.

The total number of possible outcomes is the number of ways we could choose two parts from the box, which is the number of ways to choose 2 items from a set of 6 items. This is given by the formula:

Total outcomes = (6 choose 2) = (6! / (2! * 4!)) = 15

Putting it all together, we have:

Probability = (number of desired outcomes) / (total number of outcomes)
Probability = 18 / 15
Probability = 1.2

However, this answer doesn't make sense because probabilities should always be between 0 and 1. So we made a mistake somewhere. The mistake is that we double-counted some outcomes. For example, if we choose a bolt first and a nut second, this is the same as choosing a nut first and a bolt second, so we shouldn't count it twice.

To correct for this, we need to subtract the number of outcomes we double-counted. There are 3 outcomes that we double-counted: choosing two bolts, choosing two nuts, and choosing the same part twice (e.g. choosing the same bolt twice). So we need to subtract 3 from the total number of desired outcomes:

Number of desired outcomes = 18 - 3 = 15

Now we can calculate the correct probability:

Probability = (number of desired outcomes) / (total number of outcomes)
Probability = 15 / 15
Probability = 1

So the probability that one chosen part is a bolt and the other chosen part is a nut is 1, or 100%. This makes sense because if we choose two parts at random, we must get one bolt and one nut since there are three of each in the box.

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Step-by-step explanation:

There is 1 adult for every 15 students. (I don't see any pictures of a graph)

Answer:

There is 1 adult for every 15 students

Step-by-step explanation:

Answer:

502

Step-by-step explanation:

504-10=494

494+6=500

500+2=502

answer 502

Therefore, we would expect 690 out of the 1,150 birds in the sanctuary to be females.

Among a species of tropical birds, if 30 out of every 50 birds are females, then this means that 3 out of every 5 birds are females. In fraction form, 3/5 of the birds are females.

The question is asking us to find out how many of the 1,150 birds in the sanctuary would be females. To do this, we need to use a proportion. We can set up the proportion as follows:

3/5 = x/1,150

Where x represents the number of females we are trying to find.

To solve for x, we can cross-multiply:

5x = 3 * 1,150

5x = 3,450

x = 690

We would expect 690 out of the 1,150 birds in the sanctuary to be females.

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Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

\(y=mx+b\)

\(m\) - slope

\(b\) - y-intercept

Given

\(m=-\dfrac{8}{7}\)

and point \((7;\ -5)\)

Substitute the value of the slope and the coordinates of the point ot the equation of a line:

\(-5=-\dfrac{8}{7\!\!\!\!\diagup}\cdot7\!\!\!\!\diagup+b\)     cancel 7

\(-5=-8+b\)           add 8 to both sides

\(-5+8=-8+8+b\)

\(3=b\to b=3\)

Therefore we have the equation of the line:

\(y=-\dfrac{8}{7}x+3\)

Substitute (x, 3) to the equation:

\(3=-\dfrac{8}{7}x+3\)          subtract 3 from both sides

\(3-3=-\dfrac{8}{7}x+3-3\)

\(0=-\dfrac{8}{7}x\)           divide both sides by (-8/7)

\(0=x\to x=0\)

a) To find the value of k, we use the given information that there are 5.5 pounds of salt in the barrel after 10 minutes.

By substituting these values into the equation Q(t) = 15(1 - e^(-kt)), we can solve for k. The rounded value of k is provided as the answer.

b) As t approaches infinity, the amount of salt in the barrel will reach a maximum value and stabilize. This is because the exponential function e^(-kt) approaches zero as t increases without bound. Therefore, the amount of salt in the barrel will approach a constant value over time.

a) We are given the equation Q(t) = 15(1 - e^(-kt)) to represent the amount of salt in the barrel at time t. By substituting t = 10 and Q(t) = 5.5 into the equation, we get 5.5 = 15(1 - e^(-10k)). Solving this equation for k will give us the desired value. The calculation for k will result in a decimal value, which should be rounded to four decimal places.

b) As t approaches infinity, the term e^(-kt) approaches zero. This means that the exponential function becomes negligible compared to the constant term 15. Therefore, the equation Q(t) ≈ 15 holds as t approaches infinity, indicating that the amount of salt in the barrel will stabilize at 15 pounds. In other words, the concentration of salt in the barrel will reach a constant value, and no further change will occur.

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The angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)

We know that the rectangle has sides of length 4 ft and 5.5 ft, so we can use the Pythagorean Theorem to find the length of the diagonal \($BD$\):

\($$ BD^2 = 4^2 + 5.5^2 $$\)

\($$ BD^2 = 16 + 30.25 $$\)

\($$ BD^2 = 46.25 $$\)

\($$ BD = \sqrt{46.25} $$\)

\($$ BD = 6.8 \text{ ft (rounded to one decimal place)} $$\)

Now, we can use the Law of Cosines to find the angle between sides \($AB$\)and \($AD$\) in triangle \($ABD$\):

\($$ \cos(A) = \frac{BD^2 + AB^2 - AD^2}{2 \cdot BD \cdot AB} $$\)

\($$ \cos(A) = \frac{6.8^2 + 4^2 - 5.5^2}{2 \cdot 6.8 \cdot 4} $$\)

\($$ \cos(A) = 0.5471 $$\)

\($$ A = \cos^{-1}(0.5471) $$\)

\($$ A = 56.1^\circ \text{ (rounded to one decimal place)} $$\)

Similarly, we can use the Law of Cosines to find the angle between sides \($BC$\) and \($CD$\) in triangle:

\($$ \cos(B) = \frac{BD^2 + BC^2 - CD^2}{2 \cdot BD \cdot BC} $$\)

\($$ \cos(B) = \frac{6.8^2 + 5.5^2 - 4^2}{2 \cdot 6.8 \cdot 5.5} $$\)

\($$ \cos(B) = 0.7416 $$\)

\($$ B = \cos^{-1}(0.7416) $$\)

\($$ B = 42.5^\circ \text{ (rounded to one decimal place)} $$\)

Therefore, the angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)

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Answer:

It is proved .

Step-by-step explanation:

\(\alpha +\beta +\gamma =\pi.....(1)\\\\sin\alpha + sin\beta +sin\gamma=4 cos\frac{\alpha}{2}cos\frac{\beta}{2}cos\frac{\gamma}{2}\)

Take LHS

\(=sin\alpha + sin\beta +sin\gamma\\\\=2 sin \frac{\alpha +\beta }{2} cos\frac{\alpha -\beta }{2} + sin\gamma\\\\=2 sin\frac{180-\gamma}{2}cos \frac{\alpha - \beta}{2}+2 sin\frac{\gamma}{2}cos\frac{\gamma}{2}\\\\=2 cos\frac{\gamma}{2}cos \frac{\alpha - \beta}{2}+2 sin\frac{\gamma}{2}cos\frac{\gamma}{2}\\\\=2 cos\frac{\gamma}{2}\left [ cos \frac{\alpha - \beta}{2}+sin\frac{180-\alpha-\beta}{2}\\ \right ]\\\\=2 cos\frac{\gamma}{2}\times 2 cos\frac{\alpha}{2}cos\frac{\beta}{2}\\\)

\(=4 cos\frac{\alpha}{2}cos\frac{\beta}{2}cos\frac{\gamma}{2}\)

Hence proved.

Answer:

c because an open doesnt mean its guaranteed but it starts at closed.

The amount that he owes after one year is 1792.09 dollars. Then the correct option is C.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Rodney owes $1,541.05 on his credit card.

His card has an APR of 16.29%, compounded monthly.

Assuming that he makes no payments and no purchases.

He owes after one year will be

Amount = 1541.05 × 1.1629

Amount = 1792.087 ≅ 1792.09

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Answer:

B.

Step-by-step explanation:

$1811.70

Answer:

x ≈ 7.9 ft

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

Since we are dealing with a right triangle, we can use trigonometry to help us solve for missing values:

cos44° = x/11

11cos44° = x

x = 7.91274

x ≈ 7.9 ft

As per the 95% confidence interval, the true average age of all students in the university is approximately 23 to 24.

Confidence interval

Confidence interval means the interval calculation, obtained from the observed data that holds the actual value of the unknown parameter.

Given,

A random sample of 64 students at a university showed an average age of 23 years and a sample standard deviation of 3 years.

And we need to find the 95% confidence interval for the true average age of all students in the university.

While we looking through the given question we have identified the following,

Number of samples = 64

Average age = 23

Standard deviation = 3

Confidence interval = 95%

Based on this confidence interval, the z score is 1.96

According to the formula,

u = 23 ± 1.96 x 3/√64

u = 23  ± 1.96 x (3/8)

u = 23  ± 1.96 x 0.375

u = 23  ± 0.735

u = 23.735, 22.635

Therefore, the average age of the student is approximately 23 to 24.

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Answer: There are 24 more payments made.

Step-by-step explanation:

In a 5 year loan there is 60 months

In a 3 year loan there is 36 months.

Answer:

A' (-5, 5)

B' (20, 0)

C' (5, -15)

Step-by-step explanation:

Multiply each coordinate by 5, and your result is given above.

Answer:

Step-by-step explanation:

Answer:

1. slope = 2; y-intercept = 3

2. slope = \(\frac{-2}{3}\); y-intercept = 2

let me know if you need the math

Answer:

5000

Step-by-step explanation:

round 101 down to 100 and round 52 down to 50 then multiply together to get 5000.

When 1 is rounded to significant figure the estimated result of the multiplication is 5200.

Given, that 101 × 52.

Multiplication: It is a basic mathematical operation among Addition, subtraction and division.

Rule of multiplication:

The rules for multiplication are:

(1) positive × positive = positive

(2) positive × negative = negative

(3) negative × negative = positive

Firstly round off '1' in the number 101 .

Estimated number = 100

Now apply rule number 1 as both the numbers are positive.

So, 100 × 52

= 5200

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The inequality represents all possible values for the clerk's sales, s, on Monday is 0.1s + 125 < 180.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

A clerk earns $125 per day, plus a commission equal to 10% of her sales, s. The clerk earns less than $180 on Monday.

The total commission on her sales s = 10% x s

                                                           = 0.1s

The total money earn on monday = 0.1s + 125

The inequality represents all possible values for the clerk's sales, s, on Monday.

The clerk earns less than $180 on Monday.

0.1s + 125 < 180

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Answer:

5.18

Step-by-step explanation:

This is a chemistry question. However the solution to the problem is given below:

We'll begin by calculating the pOH of the solution. This can be obtained as follow:

Concentration of Hydroxide ion [OH¯] = 1.5×10¯⁹ M

pOH =?

pOH = –Log [OH¯]

pOH = –Log 1.5×10¯⁹

pOH = 8.82

Finally, we shall determine the pH of the solution. This can be obtained as follow;

pOH = 8.82

pH =?

pH + pOH = 14

pH + 8.82 = 14

Collect like terms

pH = 14 – 8.82

pH = 5.18

Therefore, the pH of the solution is 5.18

Answer:

5.18

Step-by-step explanation:

I took the test and got it right!