Given the inequality:
\(j>4+6\)Let's solve for j.
This is an addition expression.
To solve for j, all we have to do is to sum up the numbers.
We have:
j > 4 + 6
j > 10
Therefore, the value of j must be greater than 10.
ANSWER:
j > 10
iew
Give the slope and y-intercept of
the line.
slope = H, y-intercept = |
Enter the number that belongs in the green box.
Enter
Answer:x
Step-by-step explanation:
From the top of the 140-foot high tower, an air traffic controller observes an airplane on the runway at an angle of depression of 18°.
18°
140 ft
How far is it from the base of the tower to the airplane? Round your answer to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
The angle of depression is the downward angle the air traffic controller
looks down from in the tower. It also equals the angle of elevation which is the angle formed by the runway and the line of sight.
With this information you can find the remaining angle:
180 - (90 + 18)
180 - 108 = 72
Let Angle B = 72°
Angle A = 18°
Angle C =90°
We have one side - 140 feet - this is side a - it is across from angle A.
There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)
Using the law of sines:
sin A/a = sinB/b
sin 18°/a = sin72°/b
.3090/140 = .9510/x
cross multiply and then divide
140 × .9510/.3090
133.14/.3090
430.873 ft
round to a tenth = 430.9 ft
Suppose I want to find an inverse to the function |cos x|. I intend to restrict the domain of the function to an interval whose left endpoint is x = 0 On which of the following intervals is |cos x| one-to one? Select one [0, pi/4] [0, pi/2] [0, pi] [0, 2 pi]
In the interval [0, π/2], the function is one-to-one or injective.
The functions which have one-to-one behaviour are called injective functions. An injective function is a function in which every horizontal line in the plane intersects the graph of f at most one point or we can say if f(x) = f(y) then x = y.
First, we need to draw the graph of y = |cos x|. The graph of y = |cos x| is attached.
We can see from the graph that the value of the function is 1 when x = 0 and the value of the function decreases till it takes 0 at x = π/2 and then the value of the function increases again.
In the option [0, π] and [0, 2π] the behaviour of the function is not injective.
In [0, π/4], the function is injective but [0, π/2] is the correct answer as it represents the largest interval starting from 0 on which this function is one-to-one.
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Find m<1 if m<2=x+12 and m
Considering the given figure angle 1 is calculated to be 26
How to find angle 1The solution of angle 1 is gotten from the knowledge of adjacent angles
angle 1 and angle 2 are adjacent angles and the total angle is given to be x + 38
therefore we have
x + 38 = angle 1 + angle 2
x + 38 = angle 1 + x + 12
angle 1 = x + 38 - x - 12
angle 1 = 38 - 12
angle 1 = 26
we can therefore say that angle 1 is 26
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Which of these expressions is equivalent to log(15/7)
A. 15 • log (7)
B. log (15)• log (7)
C. log (15) - log (7)
D. log (15) + log (7)
Answer:
C
Step-by-step explanation:
using the rule of logarithms
log a - log b = log (\(\frac{a}{b}\) ) , then
log (\(\frac{15}{7}\) ) = log 15 - log 7
Please help me with this and fast!
Answer:
16
5
O
I think
Step-by-step explanation:
PLS HELP
Determine the measurement of KL
The measurement of KL is given as follows:
KL = 5.86.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.Considering the similar triangles in this problem, the proportional relationship for the side lengths is given as follows:
8.7/KL = 7.8/LJ = 12.18/8.2
Hence the length KL is obtained as follows:
8.7/KL = 12.18/8.2
12.18KL = 8.2 x 8.7
KL = 8.2 x 8.7/12.18
KL = 5.86.
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-18 + h = 28
solve for h
PLS HELP! :)
Answer: H=46
Step-by-step explanation:
-18+h=28
you would add 18 to 28 and then that makes 46 you answer
Answer:
46
Step-by-step explanation:
18+28=46
At age , someone sets up an IRA (individual retirement account) with an APR of %. At the end of each month he deposits $ in the account. How much will the IRA contain when he retires at age 65? Compare that amount to the total deposits made over the time period.
Question content area bottom
Part 1
After retirement the IRA will contain $
enter your response here.
(Do not round until the final answer. Then round to the nearest cent as needed.)
We can compare the amount in the IRA at retirement to the total deposits made over the time period to determine if the interest earned has exceeded the amount deposited.
What is IRA?IRA is an acronym that stands for "Individual Retirement Account." It is a sort of investment account meant to assist individuals in saving for retirement. Individuals can deposit pre-tax income to an IRA, and the money in the account grows tax-free until taken in retirement.
Part 1: To calculate the amount that the IRA will contain when the person retires at age 65, we can use the formula for compound interest:
\(A = P(1 + r/n)^(nt)\)
In this situation, the individual establishes the IRA at age a, thus they have t = 65 - a years till retirement. Because the APR is expressed as a percentage, we must divide it by 100 to obtain the annual interest rate in decimal form. Because the individual deposits $d at the end of each month, n = 12 (monthly compounding) and the effective monthly interest rate is r/12.
Therefore, the amount of money in the IRA at retirement can be calculated as:
\(A = d * ((1 + r/12)^(12*(65-a)) - 1) / (r/12)\)
Part 2 : We can compare the amount in the IRA at retirement to the total amount of deposits made over the time period. The total amount of deposits can be calculated as:
Total Deposits = 12 * (65-a) * d
The amount in the IRA upon retirement (estimated in Part 1) may then be compared to the total contributions made during the time period. If the amount in the IRA exceeds the total deposits, the interest generated has exceeded the entire deposits. If the amount in the IRA is less than the total deposits, the interest produced will not be sufficient to compensate for the amount contributed.
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Evaluate: (-10 + 15)/-3
Need answer asap
Answer:
5/3
Step-by-step explanation:
Answer: If you meant this as a fraction then your answer will be -1 2/3 or -5/3... But if you didn't mean the slash mark before the -3 then your answer will be 2.
Hope this helps... Stay safe and have a great day!!! :D
Which of the following best describe this graph?
skewed left
skewed right
uniform distribution
center near 5
center near 7
data spread from 3 to 9
does not have an outlier
The term that best describe this graph attached is
does not have an outlier
What is outlier?An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.
Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.
The graph is not exactly uniform even though it is not skewed
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Pls help me I will brainlest
Answer:
Tripling the price means it increased by 200% so the markup is 200% (pls give brainlest please!)
Jenna is placing a dry erase board that is 4 feet long in the center of a wall that is 9 feet wide. Which is the MOST reasonable estimate for the placement of the board?
Answer:
2.5 ft into the wall leaving 2.5 feet on both sides of the dry erase board
Step-by-step explanation:
9-4=5
5/2=2.5
2.5 ft in
what is the sum 3/x+9+5/x-9
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
The hypotenuse of an isosceles right triangle is 14 centimeters longer than either of its legs. Find the exact length of each side. (Hint: An isosceles right triangle is a right triangle whose legs are the same length.)
The Pythagorean theorem states that:
\(a^2+b^2=c^2\)
a and b are two legs of a right trianglec is the hypotenuseThe Quadratic Formula\(x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)
Solving the QuestionLet a represent the length of one leg.
Because the hypotenuse is 14 cm longer than a leg, we can say that the hypotenuse's length is 14 + a.
Plug these into the Pythagorean theorem:
\(a^2+b^2=c^2\\a^2+a^2=(14+a)^2\\2a^2=14^2+2(14)a+a^2\\2a^2=196+28a+a^2\\a^2=196+28a\\a^2-196-28a=0\\a^2-28a-196=0\)
Factor using the quadratic formula:
\(a=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)
\(a=\dfrac{-(-28)\pm \sqrt{(-28)^2-4(1)(-196)}}{2(1)}\\\\a=14\pm14\sqrt{2}\\\\a=14+14\sqrt{2}\)
We know that it's plus because subtracting results in a negative value, and length cannot be negative.
This is the length of each side.
Because the hypotenuse is 14 cm longer, we can say that the hypotenuse is \(28+14\sqrt{2}\).
AnswerLeg length = \(14+14\sqrt{2}\)
Hypotenuse length = \(28+14\sqrt{2}\)
The graph of a cube root function f is shown.
The graph of g is a vertical shrink by a factor of 1/2 of the graph of f. Graph the function g.
A graph of the cube root function g(x) = 1/2x³ is shown in the image below.
What is a dilation?In Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would be stretched or shrunk depending on the scale factor that is applied.
When the parent cube root function f(x) = x³ is vertically shrunk by a scale factor of 1/2, the transformed function g(x) is given by;
g(x) = kf(x)
g(x) = 1/2f(x)
g(x) = 1/2x³.
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What is the probability of choosing a red marble or a green marble out of a bag containing 5 blue marbles, 3 red marbles, and 1 green marble?
Answer:
P(Red) = 1/3
Step-by-step explanation:
Total number of marbles = 15
5 red
6 green
4 blue
QUICK SOMEONE HELP!! I’LL MARK BRAINLIEST
Answer:
A - 152
Step-by-step explanation:
You see the box on the right triangle, meaning it is 90.
Add 90 + 62 to get 152, so the angle is 152.
How do I do number 1??
Help me it’s due tomorrow!!!
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
We have,
In a parallelogram,
- Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths.
- Opposite angles are congruent:
The opposite angles of a parallelogram have equal
Now,
a)
Opposite angles are congruent:
So,
5x + 29 = 7x - 11
29 + 11 = 7x - 5x
40 = 2x
2x = 40
x = 40/2
x = 20
And,
3y + 15 = 5y - 9
15 + 9 = 5y - 3y
24 = 2y
y = 24/2
y = 12
b)
Opposite sides are congruent:
So,
-6x = -4x + 6
-6x + 4x = 6
-2x = 6
x = -3
And,
7y + 3 = 12y - 7
12y - 7y = 3 + 7
5y = 10
y = 2
Thus,
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
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How do I do this problem?
Answer:
hey you can use scan and search
Answer:
I got : 0.42264973
Step-by-step explanation:
1/ -√3 + 1
-√3 = -1.73 ( 2 decimal place )
1/ -1.73 + 1
and found the answer
What's the answer???
Answer:
13.75
Step-by-step explanation:
What is the serving of coffee? 1 quart, 1 ml, or 1 c
Please help me find g(10).
Answer:
Step-by-step explanation:
g(10) = (10^2-8)/(10+4)= (100 - 8)/14 = 92/14 = 48/7 or 6 6/7
Pls help me with my math
Step-by-step explanation:
1st One-3x/4 + 8 < 20 -3x/4 < 12 3X/4 > -12 3x > -48 X > -16 ...... 2nd One-2x - 6 ≥ - 82 2x + 6 ≤ 82 2x ≤ 76 x ≤ 38 .......I WILL BRAINLEST THE FIRST CORRECT PERSON TO ANSWER THIS * view image*
Answer:
11 22 333 444 66% 88 have a blessed day and get 100% ok
Step-by-step explanation:
Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample of 154 adult
males, the mean pulse rate is 69.5 bpm and the standard deviation is 11.4 bpm. Find the value of the test statistic.
The value of the test statistic is
(Round to two decimal places as needed.)
According to the question the value of the test statistic \(0.55\)
What is standard deviation?Data variation from the mean is referred to as "standard deviation." If the standard deviation appears low, the data tend to cluster around the mean; on the other hand, if it appears large, the data are widely spread.
The data deviate from the mean value is indicated by the standard . It is useful for contrasting huge datasets with distinct ranges but the same mean.
The other, though, is without a doubt more spread. The standard deviation reveals the degree of data dispersion. It describes how far away from the mean each number obtained is.
We must compute the t-score, which is represented by: in order to determine the value of the test statistic.
\(t = x -\) μ\(/(s/\sqrt{n}\)
s= sampling standard deviation, n= sample size,\(x=\) sampling rate μ = population mean
\(x = 69.5 bpm,\) μ\(= 69 bpm, s = 11.4 bpm, n = 154\)
\(t = (69.5- 69)/ 11.4/\sqrt{154} \\t = 0.5/ (11.4/12.4)\\t = 0.5/ 0.917\\t = 0.546\)
Therefore the value of the test statistics is \(0.55\)
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A number increased by sixteen is equal to thirty-seven
Answer:
21
Step-by-step explanation:
It would have to be twenty one because thirty seven minus sixteen is twenty one it's simple math-
5/8 of the pie that was left.
There is of an apple pie left from dinner. Tomorrow, Victor plans to eat
7/8
Enter how much of the whole pie he will eat tomorrow.
of the pie that was left.
Answer:
he will eat 35/64 of the whole pie
Step-by-step explanation:
i hope i helped
Plant-A-Seed's intern claims that he can no longer complete an order because he spilled a cup of coffee on the sales ticket. Help him complete the order by determining the missing dimensions from the information that is still visible. Explain how you determined possible unknown dimensions of each planter box.
Based on the common factors of 12, the possible dimensions of each planter box may be as follows:
Height = 6 inchesLength = 4 inchesWidth = 3 inchesVolume = 72 cubic inches.What are common factors?The common factors of a number are the divisors that can divide a number (the dividend) without a remainder.
For example, the common factors or divisors of 12 are 1, 2, 3, 4, 6, and 12.
Base area of the planter box = 12 square inches
Possible dimensions:Length = 4 inches
Width = 3 inches
Area = Length x Width
= 4 x 3
= 12 square inches
Height = 6 inches (assumed value)
The three dimensions of an object (especially, a planter box) are the height, length, and width.
Therefore, the volume = 72 cubic inches (6 x 4 x 3).
Thus, finding the common factors of 12 and choosing 4 and 3, the possible dimensions are indicated above.
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Sheldon needs to buy 8 gallons of ice cream for a family reunion. The table shows the prices for different sizes of two brands of ice cream.
Answer:
theres no picture so how will we know
Step-by-step explanation:
post the picture first