Answer:
a.) not true
b.) true
c.) true
Step-by-step explanation:
Can you Solve this for me?
The coordinates of Point P are ________
The coordinates of Point T are
Point _____ is located at ( 1/2, -2 1/2)
Answer:
The coordinates of Point P are (2 1/2, 0).
The coordinates of Point T are (-1 1/2, -1).
Point R is located at ( 1/2, -2 1/2)
Hope this helps!
Answer:
p y=0 x=2 1/2 t y= -1 x= -1 R
A fireman spots a stranded woman in the window of a 200-foot tall office building. From the
point where the fireman is standing, the angle of elevation to the stranded woman is 42° 33'
and to the top of the building is 58° 6'. How far from the ground is the stranded woman?
Answer:
114.3 foot
Step-by-step explanation:
Height of building,h=200 foot
Let BC=x
[tex]tan\theta=\frac{perpendicular\;side}{base}[/tex]
Using the formula
[tex]tan(58^{\circ} 6')=\frac{200}{CD}[/tex]
[tex]CD=\frac{200}{tan(58^{\circ} 6')}[/tex]
[tex]CD=124.5 foot[/tex]
Now,
[tex]\frac{BC}{CD}=tan(42^{\circ}33')[/tex]
[tex]\frac{x}{124.5}=0.9179[/tex]
[tex]x=124.5\times 0.9179[/tex]
[tex]x=114.3 foot[/tex]
Hence, the distance of woman from the ground=114.3 foot
The ground is 123.24 ft far from the stranded woman.
Given the total height of the office building is 200 ft.
And the angle of elevation of the top of the building is 58° 6' and the angle of elevation to the stranded woman is 42° 33'.
We know that, from trigonometric ratios,[tex]tan \theta =\frac{perpendicular}{base}[/tex]
here [tex]\theta[/tex] is the angle of elevation of the top of the building from the fireman.
Now, [tex]tan ( 58^{0} 6')[/tex][tex]=\frac{200}{base}[/tex]
[tex]1.488=\frac{200}{base}[/tex]
[tex]base=\frac{200}{1.488}[/tex]
[tex]base=134.40[/tex] ft
Now the woman is stranded in the window of the building say at the height of h ft, and the angle of elevation of the woman from the fireman is 42° 33'.
So, [tex]tan (42^{0} 33')[/tex][tex]= \frac{perpendicular}{base}[/tex]
[tex]tan(42^{0} 33' )= \frac{h}{134.40}[/tex]
[tex]0.917=\frac{h}{134.40}[/tex]
[tex]0.917\times134.40=h[/tex]
[tex]h=123.24 ft[/tex]
Hence the ground is 123.24 ft far from the stranded woman.
For more details on angle of elevation follow the link:
https://brainly.com/question/12483071
The work shows the first steps for writing a partial fraction decomposition.
Which equations can be used in a system of equations to solve for the unknowns. Check all that apply.
A = 0
xxxB = 0
xxxxD = –5
xxxxA + C = 0
2A + 2B = 4
it's B C D the three in the middle
Answer:
B C D
Step-by-step explanation:
Partial fraction decomposition involves breaking down algebraic fractions into smaller piece.
The equations that can be used are:
[tex]\mathbf{B = 0}[/tex] , [tex]\mathbf{D= -5}[/tex] and [tex]\mathbf{A + C = 0}[/tex]
From the question. we have:
[tex]\mathbf{4x^3 - 5 = 2Ax^3 +Ax + 2Bx^2 + B + Cx + D}[/tex]
Collect like terms
[tex]\mathbf{4x^3 - 5 = 2Ax^3 + 2Bx^2 +Ax + Cx + B + D}[/tex]
Compare both sides, using the power of x
[tex]\mathbf{4x^3 = 2Ax^3}[/tex]
[tex]\mathbf{- 5 = B + D}[/tex]
[tex]\mathbf{0 = 2Bx^2 }[/tex]
[tex]\mathbf{0 =Ax + Cx }[/tex]
Divide both sides of [tex]\mathbf{4x^3 = 2Ax^3}[/tex] by 2x^3
[tex]\mathbf{A = 2}[/tex]
Divide both sides of [tex]\mathbf{0 = 2Bx^2 }[/tex] by 2x^2
[tex]\mathbf{B = 0}[/tex]
Divide both sides of [tex]\mathbf{0 =Ax + Cx }[/tex] by x
[tex]\mathbf{A + C = 0}[/tex]
Substitute [tex]\mathbf{B = 0}[/tex] in [tex]\mathbf{- 5 = B + D}[/tex]
[tex]\mathbf{D= -5}[/tex]
Hence, the equations that can be used are:
[tex]\mathbf{B = 0}[/tex]
[tex]\mathbf{D= -5}[/tex] and
[tex]\mathbf{A + C = 0}[/tex]
Read more about partial fraction decomposition at:
https://brainly.com/question/2759993
Which are true if figure DEFG is reflected across the x-axis? Check all that apply.
D(0, 4) → D'(0, –4)
E(–2, 0) → E'(–2, 0)
The perpendicular distance from G' to the x-axis will equal 2 units.
The perpendicular distance from D' to the x-axis will equal 8 units.
The orientation will be preserved.
Answer:
A,B,C
Step-by-step explanation:
If figure DEFG is reflected across the x-axis, the correct statements are:
D(0, 4) → D'(0, –4)
E(–2, 0) → E'(–2, 0)
The perpendicular distance from D' to the x-axis will equal 8 units.
Options A, B, and E are the correct answers.
What is a reflection?There are two ways of reflection.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
D(0, 4) → D'(0, –4) - True.
Reflecting a point across the x-axis negates its y-coordinate.
E(–2, 0) → E'(–2, 0) - True.
Reflecting a point across the x-axis does not change its x-coordinate.
The perpendicular distance from G' to the x-axis will equal 2 units. - False. The perpendicular distance from G' to the x-axis will be the same as the perpendicular distance from G to the x-axis.
The perpendicular distance from D' to the x-axis will equal 8 units. - True.
The perpendicular distance from D' to the x-axis will be the same as the perpendicular distance from D to the x-axis, which is twice the distance between D and the x-axis.
The orientation will be preserved. - False.
Reflecting a figure across the x-axis will reverse the orientation of the figure.
Thus,
D(0, 4) → D'(0, –4) - True
E(–2, 0) → E'(–2, 0) - True
The perpendicular distance from D' to the x-axis will equal 8 units. - True.
Learn more about reflections here:
https://brainly.com/question/12463306
#SPJ5
how many times do 14 go into 50
A camp counselor has 605 campers to divide into 11 teams. How many campers are on each team?
Answer: 55
Step-by-step explanation:
The answer fam is........ 55
An environmental group is interested in what percentage of Americans consider climate change an immediate threat to humanity. From a representative list of 20677 American citizens, they randomly sampled 30; all responded to their questions. They will consider the sample proportion of respondents that agree climate change is an immediate threat to humanity. Previously, 35% of Americans considered climate change an immediate threat to humanity; assume this has not changed.
1. Is it appropriate to use normal distribution to describe the sampling distribution of sample proportion?
a. Yes, because 10.5 and 19.5 are greater than 10.
b. Yes, because 30 American citizens were sampled.
c. No, because this problem concerns the sample proportion instead of the population proportion.
d. No, because the sampling distribution is skewed.
2. Calculate the probability the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35%
Answer:
(1) Yes, because 30 American citizens were sampled.
(2) The probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is 0.50.
Step-by-step explanation:
We are given that from a representative list of 20677 American citizens, they randomly sampled 30; all responded to their questions.
Previously, 35% of Americans considered climate change an immediate threat to humanity; assume this has not changed.
(1) Yes, it is appropriate to use a normal distribution to describe the sampling distribution of sample proportion because 30 American citizens were sampled.
(2) The z-score probability distribution for the sample proportion is given by;
Z = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of Americans who agree climate change is an immediate threat to humanity
p = population proportion of Americans who considered climate change is an immediate threat to humanity
n = sample of American citizens = 30
Now, the probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is given by = P([tex]\hat p[/tex] > 35%)
P([tex]\hat p[/tex] > 35%) = P( [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] > [tex]\frac{0.35-0.35}{\sqrt{\frac{0.35(1-0.35)}{30} } }[/tex] ) = P(Z > 0) = 0.50
The above probability is calculated by looking at the value of x = 0 in the z table which has an area of 0.50.
Hence, the required probability is 0.50.
Using the normal distribution and the central limit theorem, it is found that:
1. a. Yes, because 10.5 and 19.5 are greater than 10.
2. There is a 0.5 = 50% probability the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35%.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem:
A sample of 30 is taken, hence n = 30.35% of Americans considered climate change an immediate threat to humanity; assume this has not changed, hence p = 0.35.Item 1:
We verify the condition, hence:
[tex]np = 30(0.35) = 10.5[/tex]
[tex]n(1 - p) = 30(0.65) = 19.5[/tex]
Hence option a is correct.
Item 2:
The mean and the standard error are given by:
[tex]\mu = p = 0.35[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.35(0.65)}{30}} = 0.087[/tex]
The probability is 1 subtracted by the p-value of Z when X = 0.35, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.35 - 0.35}{0.087}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5.
1 - 0.5 = 0.5.
0.5 = 50% probability the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35%.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
approximate the square root of 12 to the nearest integer helppppppp!!!!!!!!
Answer:
3
Step-by-step explanation:
Well the square root of 12 is 3.464 and 12 squared is 144, and an intiger is a whole number no decimal or fraction. So round 3.464 to the nearest whole is 3. Hope this helps(:
whats 9+10
looking for the right answer
Answer:
21 :)
Step-by-step explanation:
May yall help me with this
Answer:
36= 12, 16=48, 28=84
Step-by-step explanation:
12/4=3, so you would multiply 3 x the pages to get the minutes. Or divide 3 by the minutes to get the pages.
minutes - 12, 36, 48, 84
pages read - 4, 12, 16, 28
Which of the following correctly translates this equation?
A.5x+7= 10x - 3
Five times a number increased by 7 is 10 times the same
number subtracted from 3
B.The product of 7 and a number plus 5 is 10 times the same
number minus 3
C.Five times a number plus 7 is 3 less than 10 times the same
number
D.Seven more than 5 times a number is the product of 3 and
the same number decreased by 10
Answer:
C
Step-by-step explanation:
five times a number = 5x
plus 7 = 5x+7
is 3 less 10 times the same number = 10x - 3
what is the measure of
The angle of NPR is 130°
First, set up an equation to find x.
[tex](3x-10)+2x+65=180[/tex]
Then, solve the equation for x.
[tex]x=25[/tex]
Then, substitute 25 in for x in 2x
50
Finally, subtract 50 from 180 to find the angle of NPR
130°
A farmer plants a rectangular field that is 200 meters wide and 300 meters long. What is the perimeter of this field?
Answer:
1000m or 1km
Step-by-step explanation:
200 + 200 + 300 + 300
Robert receives a commission of 20% onsales of$ 3700.What is his commision rate?
Answer:
$740
Step-by-step explanation:
3700X20%=740
I think I'm good
Answer:
$740
Step-by-step explanation:
3700*0.20=740.
Hope this helps!
quick plz help <3
In which type of music do we find flatted notes & slow, syncopated rhythms?
a. classic rock.
b. ragtime.
c. contemporary jazz.
d. blues.
the correct answer is the blues
Explain your answer!
Answer:
40 words
Step-by-step explanation:
120 words/3 minutes is the same as 120 divided by 3
so, you divide 120 by 30 and you get 40 words per minute
Answer:
Step-by-step explanation:
We are going to make a questioning. Look:
If in 3 minutes she can type 120 word
In 1 min how many will she type X
We adopt X as a thing witch we don't know. This forms a Rule of three. It happens when we have got 3 values but miss us 1 yet.
Generraly you'll sort the values by type. In this case, I put minutes under minute and words under words.
A Fast way to solve is: multiply where there is not an incognt (1*120) and divide by what left (3)
So:
1*120=120
Divided by 3 (120/3) it's equals 40 words per minute.
Good studies!
-ZehTheJohn
Line segment RS has endpoints R (-2, 4) and S (-4, -1).
Line segment R"S" has endpoints R" (3, -3) and S" (5,2).
Name the transformation that maps line segment RS to line segment R"S".
O rotation of 90° counterclockwise about the origin, followed by a translation (x, y) = (x + 2 y + 1).
reflection over the line y = x, followed by a translation (x, y) + (x + 1, y + 1).
O rotation of 180° about the origin, followed by a translation (x, y) - (x + 1, y + 1).
o translation (x,y) → (x + 1, y + 1), followed by a rotation of 180°counterclockwise about the origin.
Answer:
rotation of 180° about the origin, followed by a translation (x, y) - (x + 1, y + 1).
Step-by-step explanation:
Remember that a rotation of 180º about the origin will result in the change of both X's and Y's signs to the opposite so if the sign of one of them is negative, it will be positive, and viceversa.
Since point R is (-2,4) the first transformation would change the signs and make it (2,-4) the next one would be transform it by adding 1 to both of them:
(x,y)---(x+1,y+1)
(x,y)---(2+3,-4+1)
(x,y)---(3,-3)
So that would be the correct answer.
Answer:
Rotation of 180° about the origin, followed by a translation (x, y) - (x + 1, y + 1).
Step-by-step explanation:
Because you need to negate the X and Y axis to get your answer.
How to factor this polynomial
Step-by-step explanation:
6x^7 + 3x^4 - 9x^3
3x^3 (2x^4 + x - 3) ??
Simplify the expression. Give your answer using a positive exponent.
8^-2
The student scores on a history test are normally distributed with an unknown population mean and standard deviation A random sample of 38 scores is taken and results in a sample mean of 85 points and sample standard deviation of 4 points. dr 0,10 0.0 0.025 0.01 0.005 3 1.306 1.690 2.030 2.438 2.724 1.306 1.688 2.028 2.434 2.719 1.305 1687 2.026 2.431 2.715 1.304 1.686 2.024 2.429 2.712 1.304 1685 2.023 2.426 2.708
Find a 90% confidence interval estimate for the population mean using the Student's distribution . Round the final answers to two decimal places.
Answer:
The 90% confidence interval = (83.9, 86.1)
Step-by-step explanation:
The formula for confidence interval =
Mean ± z × standard deviation/√n
From the question:
n = 38
Mean = 85 points
Standard deviation = 4 points
Z score for 90% confidence interval = 1.645
85 ± 1.645 × 4/√38
85 ± 1.067416951
Confidence Interval =
85 - 1.067416951
= 83.932583049
≈ 83.9
85 + 1.067416951
= 86.067416951
≈ 86.1
Therefore, the 90% confidence interval = (83.9, 86.1)
What is the slope of the line with equation y-3=- 7(x-2)?
Answer:
-7
Step-by-step explanation:
Remember y = mx + b and m is the slope. Just convert to this form and identify the m.
y-3=- 7(x-2)
y - 3 = -7x + 14
y = -7x + 17
Translate A number plus 17 is 25
Answer:
can you explain make it more clear what the question is
Step-by-step explanation:
Answer:
answer is 8
Step-by-step explanation:
do the equation backwards\
25 - 17 = 8
Which of the given values is a solution to the equation 5c – 5 = -50 – 7?
Answer:
[tex]c=-10.4[/tex]
[tex]c=-\frac{52}{5}[/tex]
Step-by-step explanation:
Hello! You did not provide given values, but we can go through this together without any given choices.
Start with:
[tex]5c-5=-50-7[/tex]
Combine like terms:
[tex]5c-5=-57[/tex]
Add [tex]5[/tex] to both sides of the equation:
[tex]5c=-52[/tex]
Divide both sides of the equation by the coefficient of [tex]c,[/tex] which is [tex]5[/tex]:
[tex]c=-10.4[/tex]
- or -
[tex]c=-\frac{52}{5}[/tex]
Evaluate each expression.
x = 2
y = 4
z = 8
1. xy
10
2. x + z
8
3. z - y
4
4. x + y + z
14
Answer:
1=8
2=10
3=4
4=14
Step-by-step explanation:
Anne thinks of a number. Brenda also thinks of a
number. Anne multiplies her number by Brenda's
and then squares the answer. If a represents Anne's
number and b represents Brenda's number, which
expression represents her answer?
Anne's number is a
Brenda's number is b
_________________________________
Anne multiplies her number by Brand's :
[tex]a \times b[/tex]
_________________________________
Then squares the answer :
[tex] ({a \times b})^{2} [/tex]
_________________________________
The expression which represents her answer is :
[tex] {a}^{2} \times {b}^{2} [/tex]
Why is occurring when work is being done 
I need help with this
Answer:
x = -9
Step-by-step explanation:
The attachment shows the labeling according to the problem statement.
The overall length is the sum of the constituent segment lengths, so ...
FG + GH = FH
(10 +x) +(7) = (2x +26)
x +17 = 2x +26
x -9 = 2x
-9 = x
__
Check
Then the segment length FG is ...
10 +x = 10 -9 = 1
and the overall length is ...
2x +26 = 2(-9) +26 = -18 +26 = 8
That is, 1 + 7 = 8.
what is 32.804 in expanded form?
Answer:
32.804
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
30
+ 2
+ 0.8
+ 0.00
+ 0.004
Expanded Factors Form:
3 × 10
+ 2 × 1
+ 8 × 0.1
+ 0 × 0.01
+ 4 × 0.001
Expanded Exponential Form:
3 × 101
+ 2 × 100
+ 8 × 10-1
+ 0 × 10-2
+ 4 × 10-3
Step-by-step explanation:
45 points!!!
Will mark BRAINLIEST must show explanation!
Answer:
4hx - 6hStep-by-step explanation:
Given
f(x) = x^2 - 3xSimply
f(x + h) - f(x - h)Solution
f(x + h) - f(x - h) =(x + h)^2 - 3(x + h) - (x - h)^2 + 3(x - h) =x^2 + 2hx + h^2 - 3x - 3h - x^2 + 2hx - h^2 + 3x - 3h =(x^2 - x^2) + (2hx + 2hx) - (3x - 3x) + (h^2 - h^2) - (3h + 3h) = 4hx - 6hWhat do you have to do first in a subtraction of integer problem
Answer: You have to make the denominators the same.
Step-by-step explanation:
That’s just how it is.