Answer:
x=5
Step-by-step explanation:
subtract 4x from both sides
7x-4x=4x-4x+15
3x=15
divide by 3 on both sides
3x/3=15/3
x=5
Find x. Round to the nearest tenth.
By knowing all sides of triangle and applying the formula of the law of the cosines we conclude that the missing angle X is approximately 117.9°.
How to find the missing angle
In this question we have a triangle with three known side lengths but all missing angles, we can determine the missing angle by using the law of cosines. If we know that x = 90 ft, y = 55 ft and and z = 50 ft, then the missing angle X is:
90² = 55² + 50² - 2 · 55 · 50 · cos X (1)
X ≈ 117.916°
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What is the leading coefficient of the polynomial F(x) defined below?
Answer: 2
Step-by-step explanation:
The leading coefficient is just the value before the variable with the highest power. So first we must find the portion in your polynomial that has the highest degree. The highest degree simply means the variable with the highest power. The highest power is two, so we will look at the coefficient of that portion. The coefficient of 2x^2 is 2 .
Find the slope of the line for the angle.
330 degrees
Describe the image when a scalene triangle is rotated 180 degrees counterclockwise
about the origin.
Answer:
It is a same size scalene triangle as the original triangle.
Step-by-step explanation:
:)
Answer: Choice B
It is a same size scalene triangle as the original triangle.
Step-by-step explanation:
A. It is a smaller scalene triangle than the original triangle.
B.(It is a same size scalene triangle as the original triangle.)
C.It is a larger scalene triangle than the original triangle.
If student D can solve 60% of multiple choice questions and Student B can solve 51% of the multiple choice questions and Student C can solve 57%. The students are unaware of each other.
a) At least one can be solved
b) Probability at most one of them can be solved
c) Probability that neither of them can be solved
d) Exactly two them can be solved
Learning Task 3: In your answer sheet, write the letter of the correct answe
1. Which is a polynomial function?
Plx) = 2x3 + 32 - 4x + 4
c. c. G(x) = 2x-3 +5
B. H2) = 4x1/2 - 3x 4
D. F lrl = 2x3-5x + 3
3x2
Answer:
a.) May or may not a polynomial function ( depends on c)
b.) Not a polynomial function.
c.) Not a polynomial function.
d.) It is a polynomial function.
Step-by-step explanation:
A polynomial function is of the form - [tex]a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}[/tex]
where n is positive integer and n[tex]\neq[/tex] 0
a.)
P(x) = 2x³ + 32 - 4x + 4c
It may or may not a polynomial function because we did not know about the constant c.
b.)
H(x) = 4[tex]x^{\frac{1}{2} }[/tex] - 3x⁴
It is not a polynomial function because [tex]\frac{1}{2}[/tex] is not integer.
c.)
G(x) = 2[tex]x^{-3}[/tex] + 5
It is not a polynomial function because -5 is not a positive integer.
d.)
F(x) = 2x³ - 5x + 33x²
It is a polynomial function.
The standard form of a polynomial is expressed as;
[tex]p(x)=a_nx^n+x_{n-1}x^{n-1}+x_{n-2}x^{n-2}+...[/tex]
The leading power of a polynomial must be greater than 2 and must be a positive integer.
a) For the polynomial [tex]P(x)=2x^3+3x^2-4x+4c[/tex]
This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.
b) For the function [tex]G(x)=2x^{-3}+5[/tex]
This is not a polynomial because the leading degree of the polynomial is a negative integer
c) For the function [tex]H(x) =4x^{\frac{1}{2} }-3x^4[/tex]
This is not a polynomial because the leading degree of the polynomial is a fraction.
d) For the polynomial [tex]P(x)=2x^3-5x+3+3x^2[/tex]
This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.
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HELPPP ITS QUESTION 17 BTW
Answer:
c
Step-by-step explanation:
Answer:
12n
Step-by-step explanation:
2squared minus 4squared plus 1 plus 7 squared can you find the answer
2²-4²+1+7²
we should solve the numbers with exponents :
4-16+1+49 = -12 + 1 + 49 = -11 + 49 = 38
pls give me brainliest
Work out the circumference of this circle with radius 7.5cm
Take pi to be 3.142
Answer:
15pi cm or 47.12
Step-by-step explanation:
Radius= 7.5cm
7.5 x 2 = 15
diameter= 15cm
circumference = pi x diameter
circumference= pi x 15
=15pi cm or 47.12
MARKING BRAINLIEST
Which sentence is an example of an objective summary from Cynthia Crossen's "A Culinary Wasteland"?
A. Furthermore, Mr. Schlosser's appraisal is not comprehensive but a hodgepodge of impressions, statistics, anecdotes and prejudices.
B. As a stickler about statistics, I was disturbed by Mr. Schlosser's cavalier manipulation of data, which produced some startling — and, frankly, unbelievable — "facts."
C. Americans are addicted to cheap, bad food, he argues, and like all addictions, this one exacts broad and often unseen costs from the community.
D. Taking individual responsibility for one's impact on the global economy is far more complicated than just saying no to fast food, as Mr. Schlosser advises.
Out of these, which is not an inequality?
a. 435 ≥ 5p + 4
b. g - 7 < 100
c. 18x + 9y
d. a > 6b
Answer:
C. 18x+9y
Step-by-step explanation:
Answer:
I think its the third one, C. Hope this helps!
Find the volume of the cylinder and cone, then add them together.
★ Volume of cylinder :-
V = πr²hHere,
r is radius h is heightWe have :
r = 2cm h = 7cmSubstituting the values :
> V = π (2 × 2) × 7
> V = 4π × 7
> V = 28π
★ Volume of cone :-
V = ⅓ π²hWe have :
r = 2cm h = 6 cmSubstituting the values :
> V = ⅓ × π × (2 × 2) × 6
> V = ⅓ × π × 4 × 6
> V = ⅓ × π × 24
> V = 8π
★ According to the question :-
Adding them together,
> Total Volume = 8π + 28π
> Total Volume = 36π
[tex]Total \: \: \: Volume = (88+176) {cm}^{2} \\ \\ = 264 {cm}^{2} .[/tex]
By stips please ........
Answer:
6x + 3h
Step-by-step explanation:
F(X) = 3x^2
F(X+h) = 3(X+h)^2
then F(X+h) - F(X) / h
= 3(X+h)^2 - 3x^2 / h
= 3(x^2 + 2hx + h^2) - 3x^2 / h
= 3x^2 + 6hx +3h^2 - 3x^2 / h
= 6hx + 3h^2 / h
= h (6x +3h) / h
= 6x + 3h
I hope this answer is correct
a bacteria culture doubles every 3 minutes. if 400 bacteria started, how long will it take before there are 2000 in the culture?
Answer:
15 minutes
Step-by-step explanation:
400 to 2000(x5)
so, 3 times 5 is equal to 15 min
What is x? I’ll make you the brainliest
Answer:
48
Step-by-step explanation:
If EG=8, OE=4
x/12=4
x=4(12)
x=48
Need help with math questions. :) Please help me answer them... I will give brainless
Answer:
7.)
a. y = -3x+3
b. y = 3x + 4
c. y = x + 3 (not sure about this one)
8.)
x = 63
y = 6
6.)
left an attachment (not sure about the growth triangle though)
5.)
Red Line - slope = -2
y-in = 1
Blue Line - slope = (1/2) or 0.5
y-in = 3
Green Line - slope = (-2/3) or 0.667
y-in = -4
Step-by-step explanation:
Sorry it took me so long
i need help with finding slopes from graphs
Y=2+-4x
Step-by-step explanation:
Hope ot helps
Plz help me! I’m not sure how to do these!
Answer:
Step-by-step explanation:
Wait where is the picture
In a lab experiment, 3400 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 8 hours. How long would it be, to the nearest tenth of an hour, until there are 13700 bacteria present?
Answer: 16.1
Step-by-step explanation:
ABCD∼EFGH
The value of x is
Answer
didn't know there was an image
Name another ordered pair that is on the graph
of the equation represented by the table.
HELP MEH ASAP PLS PLZ PLZ
Answer:
(5,30)
Step-by-step explanation:
That is the constant change in the y's as the x's increase by 1?
12 - 6 = 6
18 - 12 = 6
24 - 18 = 6
The common difference is 6 so the next coordinate will be 6 more on the y and 1 more on the x.
(5,30)
Use basic facts and place value to find the quotient.
450 • 9 =
Your answer
Among fatal plane crashes that occurred during the past 55 years, 347 were due to pilot error, 83 were due to other human error, 596 were due to weather, 374 were due mechanical problems, and 114 were due to sabotage. Construct the relative frequency distribution.
Required:
What is the most serious threat to aviation safety, and can anything be done about it?
Answer:
Pilot error = 347 / 1487 = 0.233 = 23.3%
Other human error = 83 / 1514 = 0.055 = 5.6%
Weather = 596 / 1487 = 0.401 = 40.1%
Mechanical problem = 374 / 1487 = 0.233 = 23.3%
Sabotage = 114 / 1487 = 0.077 = 7.7%
Step-by-step explanation:
Given the data :
Pilot error = 347
Other human error = 83
Weather = 596
Mechanical problem = 374
Sabotage = 114
Cummlative sum = (347 + 83 + 596 + 374 + 114) = 1487
Relative frequency :
Pilot error = 347 / 1487 = 0.233 = 23.3%
Other human error = 83 / 1514 = 0.055 = 5.6%
Weather = 596 / 1487 = 0.401 = 40.1%
Mechanical problem = 374 / 1487 = 0.233 = 23.3%
Sabotage = 114 / 1487 = 0.077 = 7.7%
Based on the relative frequency estimate, Weather is the most serious threat to aviation safety.
Deployment of more weather monitoring technologies
Multiply 154.18 and 5 together. Round to the nearest hundredth when necessary.
Answer:
that will be 725.10 im not sure
Answer:
The answer is 770.9 and cant be rounded to the nearest tenth.
In a data set with a normal distribution, the mean is 98 and the standard deviation is 12. About what percent of the data lie between 74 and 122?
Answer:
B. 95%
Step-by-step explanation:
The mean is in the middle and standard deviation is 12. So subtract 12 from 98 until you get to 74. That's two times. And two times/spaces to the left and right is 95% of the data.
The confidence interval is 95.45% of the data in the data set with a normal distribution
What is Confidence Interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval
Confidence Interval CI = x + z ( s/√n )
where x = mean
z = confidence level value
s = standard deviation
n = sample size
Given data ,
To find out what percent of the data lie between 74 and 122 in a normal distribution with a mean of 98 and a standard deviation of 12, we can use the empirical rule, also known as the 68-95-99.7 rule, which states that:
Approximately 68% of the data falls within one standard deviation of the mean
Approximately 95% of the data falls within two standard deviations of the mean
Approximately 99.7% of the data falls within three standard deviations of the mean
Based on this rule, we can estimate the percentage of data that lies between 74 and 122 as follows:
Calculate the z-scores for 74 and 122 using the formula: z = (X - mean) / standard deviation
For 74: z = (74 - 98) / 12 = -2
For 122: z = (122 - 98) / 12 = 2
Find the area under the normal curve between these two z-scores using a standard normal distribution table or a statistical calculator.
The area between z = -2 and z = 2 represents the percentage of data that lies between 74 and 122.
Using a standard normal distribution table, we can find that the area between z = -2 and z = 2 is approximately 0.9545 or 95.45%.
Hence , about 95.45% of the data in the data set with a normal distribution would be expected to lie between 74 and 122.
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A polling company is trying to estimate the percentage of adults that consider themselves happy. A confidence interval based on a sample size of 180 has a larger than desired margin of error. The company wants to conduct another poll and obtain another confidence interval of the same level but reduce the error to one-third the size of the original sample. How many adults should they now interview
Answer:
They should interview 1620 adults now.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
In this question:
z wont change, neither will [tex]\sigma[/tex]
We want to increase n as such the margin of error is reduced to one third.
We have that the margin of error is inversely proportional to the square root of the size of the sample, which means that for the margin of error to be reduced to one third, the sample size has to be multiplied by [tex]3^2 = 9[/tex]. So
180*9 = 1620
They should interview 1620 adults now.
14 ÷ 3/8
I need help plis :(
Answer:
[tex]\frac{112}{3}[/tex]
Step-by-step explanation:
14 ÷ 3/8 = 14 • 8/3
= 112/3
Answer:
37 1/3
Step-by-step explanation:
use Keep Change Flip when dividing with fractions! :) It's helpful
for example: 14 ÷ 3/8
14 (keep as 14)
* (change to multiplication)
8/3 (flip the fraction)
14 times 8/3= 37 1/3
Heyy can someone help me ¿? ;-; is for today ;-;
Zuleima puts her pebbles on the table. Make groups of 3 and have 1 left. Then make groups of 5 and have 2 left. How many stones does Zuleima have?
Step-by-step explanation:
she has 3 because she make group of five n have one and then make a group of five and had two, so add two plus one it will give u three
A clock gains time at a steady rate. It is set to the correct time at
10: 00 AM. When the clock shows 2 : 00 PM, the correct time is
1: 36 PM. How many minutes fast will the clock be the next time the
correct time is 5 : 30 PM?
Answer:
The clock will be 50 minutes fast
Step-by-step explanation:
Proportions
It's known a clock gains time at a steady state, or constant rate.
At 10:00 AM the clock is set at the correct time and at 1:36 PM the clock shows 2:00 PM. This means in that period of time, it has gained 24 minutes.
From 10:00 AM to 1:36 PM there are 3 hours and 36 minutes, or equivalently, 3*60+36 = 216 minutes
Our clock gains time at a rate of 24 minutes each 216 minutes. This gives the ratio 24:216 = 1:9.
When the new correct time is 5:30 PM, there will have passed 7 hours and 30 minutes since 10:00 AM, or equivalently, 7*60+30 = 450 minutes.
Since the clock gains time at a ratio 1:9, the time gained is 450/9=50 minutes.
The clock will show 50 minutes more than the correct time of 5:30 PM, that is, 6:20 PM.
The clock will be 50 minutes fast
help me me me me pls
Answer:
"C" is the answer to that question
Answer:
C
Explanation:
Because I say so