Answer:
Hi! The correct answer is D. x= 9
Step-by-step explanation:
Divide each term by 7 and simplify.
ABCD is a square. If m<ACB = (11x-32)°, find the value of x.
Answer:
x = 7Step-by-step explanation:
Find the image attached
Since ABCD is a square, <ACB = 45 degrees
Given <ACB = 11x-32
Equate both
11x-32 = 45
11x = 45+32
11x = 77
x = 77/11
x = 7
Hence the value of x is 7
help plsss, i need it asap!!!!! thankss
Find the volume of the solid generated by revolving the region bounded by the lines and curves about the x-axis. y = x, y =1, x = 0
Answer:
The volume is: [tex]V = \frac{\pi}{3}[/tex] cubic units
Step-by-step explanation:
Volume of a solid:
The volume of a solid, given by the function f(x), over an interval between a and b, is given by:
[tex]V = \pi \int_{a}^{b} (f(x))^2 dx[/tex]
y = x, y =1, x = 0
This means that the upper function is y = 1, and the lower function is y = x. So
[tex]f(x) = (1 - x)[/tex]
The lower limit of integration is x = 0.
The upper limit is y = x when y = 1, so x = 1.
Then
[tex]V = \pi \int_{a}^{b} (f(x))^2 dx[/tex]
[tex]V = \pi \int_{0}^{1} (1-x)^2 dx[/tex]
[tex]V = \pi \int_{0}^{1} (1-2x+x^2) dx[/tex]
[tex]V = \pi (x-x^2+\frac{x^3}{3})|_{0}^{1} dx[/tex]
[tex]V = \pi(1 - (1^2) + \frac{1^3}{3})[/tex]
[tex]V = \frac{\pi}{3}[/tex]
The size of a jar of coffee is increased by 1/5. The new size is later reduced by 1/5.
Is the new jar smaller, the same size or larger than the original? Explain how you worked out your answer.
Answer:
The new jar is smaller.
Step-by-step explanation:
Like what the statements says, the normal size of coffee is reduced by 1/5 and it become as the new jar which is smaller than the original.
what is the remainder when 849,400 is divided by 216
Answer:
The remainder is 88
Step-by-step explanation:
The Remainder of a Division
We have to find the remainder when we divide 849,400 by 216.
It could be found by doing the long division, but we'll do it with a calculator.
Entering the division in the calculator we get:
849,400/216=3,932.4074...
We take the whole part of the quotient (3,932) and multiply it by the divisor:
3,932*216=849,312
The remainder is obtained by subtracting 849,400-849,312=88
The remainder is 88
the jet stream is a wind current that flows across the US from west to east. Flying with the jet stream, an airplane flew 2700 miles in 4.5 hours. Against the same wind, the return trip took 6 hours. Find the speed of the plane in stil air and the speed of the jet stream.
Answer:
The speed of the plane in still air and the speed of the jet stream are 525 miles per hour and 75 miles per hour.
Step-by-step explanation:
From Mechanical Physics, we know that absolute velocity of the airplane ([tex]v_{A}[/tex]) is equal to sum of the absolute velocity of the jet steam [tex](v_{J})[/tex] and the relative velocity of the airplane with respect to jet stream (velocity of the airplane in still air) ([tex]v_{A/J}[/tex]). Al velocities are measured in miles per hour. Let suppose that both jet stream and airplanes travels at constant velocity. Now, we construct the following system of linear equations:
Flight with the jet stream
[tex]v_{J}+v_{A/J} = \frac{2700\,mi}{4.5\,h}[/tex]
[tex]v_{J}+v_{A/J} = 600\,\frac{mi}{h}[/tex] (1)
Flight against the jet stream
[tex]v_{J} -v_{A/J} = -\frac{2700\,mi}{6\,h}[/tex]
[tex]v_{J}-v_{A/J} = -450\,\frac{mi}{h}[/tex] (2)
The solution of this system of linear equations is:
[tex]v_{J} = 75\,\frac{mi}{h}[/tex], [tex]v_{A/J} = 525\,\frac{mi}{h}[/tex]
The speed of the plane in still air and the speed of the jet stream are 525 miles per hour and 75 miles per hour.
what is 60% of 80 ??
Answer:
48
because I know........
Answer:
48
Step-by-step explanation:
60 divided by 100, then times 80 equals to 48
Help me how to prove triangles inequality
it describes the relationship between the three sides of a triangle. any triangle the sum of length of two sides is always great er then the third side.
A skin-care company had 1,500 people try a new acne cream. Nine people had a mild allergic reaction. The formula is then improved and those 1,500 people try the new cream. Only 4 of them had a mild allergic reaction. What is the percent decrease in number of allergic reactions?
Answer:
The decrease in number of allergic reactions is of 0.3333%.
Step-by-step explanation:
Initial percentage:
Nine out of 1500, so the percentage is:
[tex]\frac{9*100}{1500} = \frac{900}{1500} = 0.6[/tex]
Initially: 0.6% of allergic reactions.
Final percentage:
Four out of 1500, so the percentage is:
[tex]\frac{4*100}{1500} = \frac{400}{1500} = 0.2667[/tex]
WIth the improved formula: 0.2667% of allergic reactions.
What is the percent decrease in number of allergic reactions?
0.6% - 0.2667% = 0.3333%
The decrease in number of allergic reactions is of 0.3333%.
The legs of a right triangle are in the ratio 3:4. If the hypotenuse is 10, what is the length of the longer leg?
Answer:
8
Step-by-step explanation:
ratios of legs = 3x and 4x
Pythagorean theorum:
A^2+B^2=C^2
3x^2+4x^2=10^2
9x^2+16x^2=100
25x^2=100 --> divide by 25
x^2=4 --> x=2
length of longer leg is 4x = 4 x 2 = 8
The length of the longer leg of the triangle is 8.
What is the Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given that, the legs of the right triangle are in the ratio of 3:4.
Therefore, let the legs of the triangles be 3x and 4x.
Since the hypotenuse of the triangle is 10, using the Pythagorean theorem it follows:
10² = (3x)² + (4x)²
100 = 9x² + 16x²
100 = 25x²
x² = 4
x = 2
Therefore, the lengths of the legs are:
3(2) = 6, and
4(2) = 8
Hence, the length of the longer leg of the triangle is 8.
Learn more about the Pythagorean thoerem:
https://brainly.com/question/16307146
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4 (negative one-half x + 7) + 5 x = 15
Step
Simplified Expression
1
-Negative 2 x + 28 + 5 x = 15
2
3 x + 28 = 15
3
3 x = 15
4
x = 5
Sammy tried to verify the solution by substituting x = 5 back into the original equation. It did not result in a true statement. Which explains why Henry’s solution is incorrect?
Step 1 is wrong because the distributive property of equality was used incorrectly.
Step 2 is wrong because the addition property of equality was used incorrectly.
Step 3 is wrong because the subtraction property of equality was used incorrectly.
Step 4 is wrong because the division property was used incorrectly.
Answer:
Step 3 is incorrect
Step-by-step explanation:
4(-1/2x + 7) + 5x = 15
-2x + 28 + 5x = 15
3x + 28 = 15
3x + 28 - 28 = 15 - 28
3x = -13
Type of triangle the has side measures of 6cm, 7cm and 12cm. And one angle with a measure of 120 degrees
Answer:
Obtuse triangle
Step-by-step explanation:
Given
Sides: 6cm, 7cm and 12cm
Angle: 120 degree
Required
Determine the type of triangle
Because the measure of an angle of the triangle was mentioned, we have to classify the triangle by its angle.
From the question, we understand that one of the angles is greater than 90 (i.e. 120 degrees). This type of triangle are referred to as obtuse triangles.
HELPPPPP!:(
In order to ride a roller coaster, a rider must be greater than 48 inches tall. Right now, Jeff is 45 inches tall. Write an inequality that describes how many more inches Jeff must grow in order to ride the roller coaster.
Answer:
x is greater than or equal to 3 inches.
Step-by-step explanation:
The required inequality that models the situation of age to grow is given as x ≥ 3.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let the age to be grow be x,
According to the question,
45 + x ≥ 48
Simplifying the above expression,
x ≥ 3
Thus, the required inequality that models the situation of age to grow is given as x ≥ 3.
Learn more about inequality here:
brainly.com/question/14098842
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A section of a deck is shaped like a trapezoid. For this section, the length of one base is 33 feet, and the length of the other base is 42 feet. The height is 24 feet. What is the area of this section of the deck?
Answer:
I think the answer is 900
Step-by-step explanation:
Use the formula to find the area of a trapeziod (search it up the find it)
Then fill in the numbers where they belong.
¾+(⅓÷⅙)-(-½)=( ) need help with this question
Answer:
3.25 or 3 1/4
Step-by-step explanation:
Remove the parentheses first: 3/4 + (1/3 / 1/6) - (-1/2)
1/3 / 1/6 turns into 1/3 * 6
Reduce the numbers:
3/4 + (1/3 * 6) + 1/2
cross multiplication, 6 divided by 3 = 2.
So the new equation is 3/4 + 2 + 1/2
Then you calculate.
3/4 + 2 + 1/2 = 13/4
13/4 reduced is 3 1/4 or 3.25
6x - 9x - 5 + 8 + 7x
Show your work.
Answer:
6x−9x−5+8+7x
=6x+−9x+−5+8+7x
Combine Like Terms:
=6x+−9x+−5+8+7x
=(6x+−9x+7x)+(−5+8)
=4x+3
Answer:
=4x+3
Step-by-step explanation:
I hope this helps
Answer:
=4x + 3
Step-by-step explanation:
Add the numbers
6
What is the slope of the line that passes through the points (6, 9) and (11, 2)? *
A.7/5
B.-5/7
C.-7/5
D.5/7
PLsss I need to do this by todayy pls asap
Answer:
C
Step-by-step explanation:
This 3rd and 2nd grade lvl paper dont ask why
Answer:
Across
Evapotranspiration is the sum of evaporation from plants.
Earth is surrounded by invisible gases that form a thin protective blanket that we call the atmosphere.
Water flows downhill because gravity is a form of potential energy – and the water, or anything that falls or rolls downward – flows in response to differences in potential energy (from high to low). ... Therefore, the potential energy that drives groundwater movement includes both pressure and gravity.
Precipitation: hail, rain, freezing rain, sleet and snow.
Condensation is the opposite of vaporization. Condensation occurs when a gas loses energy, slows in motion so that its cohesive force pulls the molecules close, but the molecules still have enough energy to break away from one connection only to connect with another molecule.
Down
Alternatively evaporation of the liquid should leave a solid residue. ... Dissolving is a reversible process and the solute can be recovered from a solution by evaporation though it will not always be in the exactly the same form as at the start.
Boiling. If a liquid is heated the particles are given more energy and move faster and faster expanding the liquid.
Answer: No entiendo la historia y no vengas por mí, solo quería los puntos jajaja
Step-by-step explanation:
Let f represent any number in the set of even integers greater than 4. Which
inequality is true for all values of f? *
Answer:
The inequality f ≥ 4n +2 is true for all values of 'f'
Step-by-step explanation:
Explanation:-
Let 'f' represents any number
The set of even integers greater than '4'
f = { 6, 8, 10,12, 14 ,.............}
we have to write the inequality equation
f ≥ 4n +2
Final answer:-
The inequality f ≥ 4n +2 is true for all values of 'f'
Simplify y ^2 over 6y^5.
Answer:
1/6y^3
Step-by-step explanation:
Answer:
1/6y^3
Step-by-step explanation:
cancel the common factor of y^2 and y^5
About 21 out of 25 Texans live in An urban area
Answer:
I'm confused. Is there more to the question?
1. A=6b
2. A=12b
3. A=(6b)/2
4. A=(6+b)/2
Answer:
3. A=(6b)/2
Step-by-step explanation:
9/12 = 3/D O D = 6 O D = 4 O D = 5 O D - 10
Answer:
The answer would be D = 4 or option 2.
Step-by-step explanation:
9/12 = 3/?
First, you want to simplify 9/12
9/12 = 3/4
This shows you that D = 4
Find the missing length indicated. Leave your answer in simplest radical form.
Please help! Thank you!
Answer:
1). x = 81
2). x = 84
Step-by-step explanation:
1). By applying geometric mean theorem in the given triangle,
[tex]\frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}[/tex]
56x = (18√14)²
56x = 4536
x = [tex]\frac{4536}{56}[/tex]
x = 81
2). By applying geometric mean theorem,
[tex]\frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}[/tex]
16x = (8√21)²
16x = 1344
x = [tex]\frac{1344}{16}[/tex]
x = 84
A publisher reports that 52% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 180 found that 46% of the readers owned a laptop. Find the value of the test statistic. Round your answer to two decimal places.
Answer:
The value of the test statistic is [tex]t = -1.61[/tex]
Step-by-step explanation:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
A publisher reports that 52% of their readers own a laptop.
This means that [tex]\mu = 0.52[/tex]
Sample of 180:
Means that [tex]n = 180[/tex]
By the Central Limit Theorem:
[tex]\frac{\sigma}{\sqrt{n}} = s = \sqrt{\frac{0.52*0.48}{180}} = 0.0372[/tex]
A random sample of 180 found that 46% of the readers owned a laptop.
This means that [tex]X = 0.46[/tex]
Find the value of the test statistic.
[tex]t = \frac{X - \mu}{s}[/tex]
[tex]t = \frac{0.46 - 0.52}{0.0372}[/tex]
[tex]t = -1.61[/tex]
The value of the test statistic is [tex]t = -1.61[/tex]
Answer fast...Show work on both
Answer:
A) 14.3606 ft
B) 2.8112 seconds
Step-by-step explanation:
A) At maximum height which is its peak, the velocity will be zero.
Now, we are given height modeled by;
h(t) = 4.98t² - 14t + 20
v(t) = dh/dt = 9.96t - 14.
At max height which is v(t) = 0, we have;
9.96t - 14 = 0
9.96t = 14
t = 14/9.96
t = 1.4056 s
Thus, height at this time is;
h(1.4056) = 4.98(1.4056)² - 14(1.4056) + 20
h(1.4056) = 14.3606 ft
B) time of flight = 2 × time to get to peak = 2 × 1.4056 = 2.8112 seconds.
are these correct? i hate how the teacher had me do this.but picture above.
Answer:
Yes they are correct
Step-by-step explanation:
I need help on this plz
Answer:
None
Step-by-step explanation:
Law of Sines!
Am I on the right track?
sin34/x = sin27/11 = sinθ/θ
Answer:
x=13.5
Step-by-step explanation:
You are on the right track with sin34/x=sin27/11 (remember you don't need all three angles/sides)
[tex]\frac{sin34}{x}[/tex] = [tex]\frac{sin27}{11}[/tex]
(sin27)(x)=6.15112193818
x=6.15112193818/0.45399049974
x=13.5490102584
5. That cool CD you have been waiting to purchase has finally gone on sale over at Wal-Mart for 25% off the original price. You borrow your room-mates employee discount card and head on over to your local Wal-Mart. It turns out the employee discount entitles you to an additional 15% off the sale price of the CD. If the original price was $32.99, what was the total final price you paid for your cool new CD including the 7.5% sales tax
Answer: $22.61
Step-by-step explanation: A 25% discount means that instead of paying the full value, you will pay 25% less. So the total price you will pay for a CD of $32.99:
P₁ = 32.99 * (1 - 0.25)
P₁ = 32.99 * (0.75)
P₁ = 24.7425
However, you still have a discount of 15% over the price, so:
P₂ = 24.7425 * (1 - 0.15)
P₂ = 24.7425 * (0.85)
P₂ = 21.03
The sales tax is a value incorporated over the price after all the discounts:
P = 21.03 * (1 + 0.075)
P = 21.03 * (1.075)
P = 22.61
The total final price for the CD is $22.61.