Answer:$102
Step-by-step explanation:
15% of $120 is $18 so 120-18 is $102
Answer:
$102
Step-by-step explanation:
15 of 120 is 18. We can find this by using the equation (120 x 15)/100
When we subtract 18 from 120 we get 102.
hope this helps!
Use a factor tree to find the prime factors of 30
Answer:
2/3/5
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!
Answer:
prime factors of 30: 2, 3, 5
Step-by-step explanation:
Find the area of the pinked shaded area?
10 cm
4 cm
For what value of A is the function, (x), continuous at x=0?
(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3
(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1
(iii) h(0) = 1/7
The value of λ must be 7, for h(x) to be continuous at x = 0.
The given function is,
h(x) = 1/7, when x = 0
= 1 - 2 cos 2x, when x < π/2
= 1 + 2 cos 2x, when x > π/2
= x cos x/sin λx, when x < 0
Now,
(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3
(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1
(iii) h(0) = 1/7
Since the function is continuous at x = 0, so
\(\lim_{x \to 0}\) h(x) = h(0)
\(\lim_{x \to 0}\) x cos x/sin λx = 1/7
\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7
1/λ = 1/7
λ = 7
Hence the value of λ must be 7.
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Answer to each expression
(3 + 9) x 2 dived 4
Answer: \(6\\\)
Step-by-step explanation:
\(\frac{(3+9) * 2}{4}\)
Add 3 and 9 to get 12.
\(\frac{12 * 2}{4}\)
Multiply 12 and 2 to get 24.
\(\frac{24}{4}\)
Divide 24 by 4 to get 6.
\(6\)
help plsssssssssssssssssss
Answer:
isreal,Saudi Arabia, egypt,Iraq
Right triangle EFG has its right angle at F, EG = 6 , and FG = 4 What is the value of the trigonometric ratio of an angle of the triangle? Drag a value to each box to match the trigonometric ratio with its value .
Answer:
\(\cos G=\dfrac{2}{3}\)
\(\csc E=\dfrac{3}{2}\)
\(\cot G=\dfrac{2}{\sqrt{5}}\)
Step-by-step explanation:
If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).
Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.
\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)
Therefore:
EF = 2√5FG = 4EG = 6\(\hrulefill\)
To find cos G, use the cosine trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the hypotenuse is EG.
Therefore:
\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)
\(\hrulefill\)
To find csc E, use the cosecant trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle E, the hypotenuse is EG and the opposite side is FG.
Therefore:
\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)
\(\hrulefill\)
To find cot G, use the cotangent trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the opposite side is EF.
Therefore:
\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)
HELP PLEASE FAST ILL MARK BRAINLIEST IF CORRECT 20 points!!
Answer:
8.49
Step-by-step explanation:
6^2 + 6^2 = 72
√72 = 8.485... = 8.49
Three-fourths of the yard is covered with grass and one-fourth is used as a garden. The sprinkler could only water 1/5 of the yard, so the rest died. Use the model to find out how much of the grass died.
3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.
Let's start by breaking down the information given:
- Three-fourths of the yard is covered with grass.
- One-fourth of the yard is used as a garden.
- The sprinkler could only water 1/5 of the yard.
To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.
Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.
The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.
To find the portion of the grass that died, we subtract the watered portion from the total grass area:
Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.
Simplifying, we get:
Portion of grass that died = 3/5.
Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.
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WHT IS 2/3 TIMES 4/5
This is multiplying fractions so were do not need to get the same common denominator instead we can multiply.
We multiple 2 and 4 that equals 8
Then we multiple the denominator 3 and 5 that gives us 15
Now we put the numerator at top and the denominator at the bottom.
Now our answer is 8/15.
ILL FIVE BRAINLIEST GIVE ANSWER PLS
Answer:
y = -4, x = 9
Step-by-step explanation:
If a line is horizontally passing through a point, then the equation of that line must be the y-value of that coordinate point. Likewise, if a line is passing vertically through a point, then the equation of that line must be the x-value of that coordinate point.
Apply the theory to this problem.
The equation for the horizontal line is y = -4
The equation for the vertical line is x = 9
Which of the following statements about this function's domain is true?
A.) Domain: 0≤x≤16 and 0
The domain represents all of the values that were measured in this problem.
B.) Domain: 0≤y≤16
The domain represents the set of all possible inputs - the times when depth was measured.
C.) Domain: 0
The domain represents the set of all possible outputs - the various depths of the pool.
D.) Domain: 0≤x≤16
The domain represents the set of all possible inputs - the times when depth was measured.
Answer:
D.) Domain: 0≤x≤16
The domain represents the set of all possible inputs - the times when depth was measured
Step-by-step explanation:
Domain of a function is the possible set of inputs which are usually plotted on the x-axis, while range are corresponding outputs plotted on the y-axis.
In this case, the domain is the set of all possible inputs (x-values), which represents the times the depth was measured.
Domain ranges from 0 to 16. Thus:
Domain: 0 ≤ x ≤ 16
What is the meaning of conditionally promoted in school
i need help can someone help me
The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the sine of angle 41°
sin 41° = 2.5/x {opposite/hypotenuse}
x = 2.5/sin 41° {cross multiplication}
x = 3.8106
Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
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I Need Help please!!
Slope of one of the dotted lines:
Slope of the line of reflection:
Answer:
see explanation
Step-by-step explanation:
calculate slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
consider the middle dotted line
with
(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line
m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1
consider the line of reflection ( the solid line )
with
(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line
m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1
Use the hundredth grids to answer the question.
Which equation is shown by the model?
See picture below
Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).
How to identify the correct equation?To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.
In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.
On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:
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volume of a cone = 1/3 πr squared h where r is the radius and h the height the volume of the cone below is 800cm cubed calculate height of cone
To calculate the height of the cone, we can rearrange the formula for the volume of a cone:
\(\displaystyle\sf V = \frac{1}{3} \pi r^2 h\)
Given that the volume \(\displaystyle\sf V\) is 800 cm³, we can substitute this value into the equation:
\(\displaystyle\sf 800 = \frac{1}{3} \pi r^2 h\)
To isolate \(\displaystyle\sf h\), we can divide both sides of the equation by \(\displaystyle\sf \frac{1}{3} \pi r^2\):
\(\displaystyle\sf \frac{800}{\frac{1}{3} \pi r^2} = h\)
Simplifying the expression on the right side:
\(\displaystyle\sf h = \frac{3 \cdot 800}{\pi r^2}\)
Therefore, the height of the cone is given by \(\displaystyle\sf \frac{3 \cdot 800}{\pi r^2}\).
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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Pls help this is due today!
A single filer had a taxable income of $90,725. Base on table, what is is the tax?
The amount that the taxpayer is owing in taxes is $2,691.05.
We have,
Income tax payable refers to a business organization's tax liability to the government in the jurisdiction in which it operates. The amount of liability will be determined by the company's profitability over a given time period and the applicable tax rates. Tax payable is considered a current liability rather than a long-term liability because it must be settled within the next 12 months.
Based on the table, we are using the tax rate of 15% for the taxable income of $11,757.
The tax payable will equals to:
= 15%*$11,757 + $927.50
= $1,763.55 + $927.50
= $2,691.05
Hence, The amount that the taxpayer is owing in taxes is $2,691.05.
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complete question:
Based on this table, if someone had a taxable income of $11,757, how much would they owe in taxes?
Find the missing angle. Round your answer to the nearest degree.
13 in
df
.pdf
18 in
sl.pdf
real
X =
degrees
Step-by-step explanation:
\( \tan( x ) = \frac{13}{18} \\ x = arctan (\frac{13}{18} ) \\ x = {79}^{o} \)
A swimming pool is open for 12 hours each day. The lifeguards work shifts that are 3/4 hour long. How many shifts are there each day? Enter the correct answer in the box.
To find how many shifts of 3/4 hour long will be in 12 hours, we have to divide the total number of hours by the length of each shift:
\(12\colon\frac{3}{4}=12\times\frac{4}{3}=16\)There will be 16 shifts each day
The price of an item has been reduced by 95%. The original price was $65
The new price of the item is equivalent to $3.25.
What is percentage?In mathematics, a percentage is a number or ratio that represents a fraction of 100. A percentage is a dimensionless number i.e. it has no unit of measurement.Given is that the price of an item has been reduced by 95%. The original price was $65
Assume the new price to be $[x]. So, we can write -
x = 65 - {95% of 65}
x = 65 - {(95/100) x 65}
x = 65 - {6175/100}
x = 65 - 61.75
x = 3.25
Therefore, the new price of the item is equivalent to $3.25.
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What is the intermediate step in the form (x+a)^2=b as a result of complementing the square for the following equations
The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.
To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.
Add the square of half of the coefficient of x to both sides of the equation:
x² + 2x + (2/2)² = 319 + (2/2)²
x² + 2x + 1 = 320
The left-hand side of the equation can now be factored as a perfect square:
(x+1)² = 320
This is the equation in the form (x+a)²=b, where a=1 and b=320.
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The complete question is as follows:
What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?
x² + 2x = 319
What is the solution to -4|-2x + 6| = -24?
x = 0
x= 0 or x = -6
x = 0 or x = 6
no solution
What is 76% of 30? show your work AWNSER ASAP
Answer: 22.8 because you calculate the percentage of number 30
Step-by-step explanation:
Answer:
22.8
Step-by-step explanation:
To find the percentage of a number, first change the percentage to a decimal and then multiply.
76% as a decimal is 0.76 (Divide the percentage by 100 to get decimal value)
30 x 0.76 = 22.8
(To multiply numbers when using decimals, first disregard the decimal altogether and multiply as normal - 30x76=2280 - then put in the decimal place at the end. In this case there were two digits after the decimal, so we place the decimal two digits from the right, turning 2280 to 22.80)
Use the Distributive Property to solve the equations. -4(x+3)=8. What does x equal?
Answer:
-5
Step-by-step explanation:
-4x-12=8
+12. +12
-4x=20
Divide -4 on both sides
20/-4
x= -5
If x + 2y = 9 and 3x - y = -8, what is the value of (2x+y)?
Answer:
The value of (2x+y) is 3.
Step-by-step explanation:
First, we have to find the values of x and y.
We have that:
x + 2y = 9, which also means that:
x = 9 - 2y
Replacing into the second equation, to find y:
\(3x - y = -8\)
\(3(9 - 2y) - y = -8\)
\(27 - 6y - y = -8\)
\(7y = 35\)
\(y = \frac{35}{7}\)
\(y = 5\)
Finding x:
\(x = 9 - 2y = 9 - 10 = -1\)
What is the value of (2x+y)?
2(-1) + 5 = -2 + 5 = 3
The value of (2x+y) is 3.
Ross drives 366 miles in 6 hours .if ross continues to drive at the same rate how many miles can he drive in 18 hours
Kenny loves to drink milk. He drinks 20 quarts of milk in 5 weeks. How many quarts of milk will Kenny drink in 12 weeks?
Answer:
32 mutipliy 20 and 5
Step-by-step explanation:
(a) 4x + 3y + 2x + 7y
Answer:
6x + 10y
Step-by-step explanation:
4x + 3y + 2x + 7y
=> (4x + 2x) + (3y + 7y)
=> 6x + 10y