Answer:
C
Step-by-step explanation:
since -6 and -6 are factors of 36 that add up to equal -12, the factored form of the expression is (x-6)^2.
In a scale drawing, Matt's dining room measures 6 inches long by 4 inches wide. The actual length of the dining room is 12 feet. What is the actual width of the dining room?
Answer:
8
Step-by-step explanation:
make a ratio
length of scale/width of scale=length of real/width of real
6/4=12/x
x=8
Hope that helps :)
Help me with this please
If the distance from A (5,6) to B (1, b) is twice the distance from B to
C(1, -3), determine the possible values of b.
Answer:
The possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
Step-by-step explanation:
From statement we know that [tex]AB = 2\cdot BC[/tex]. By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:
[tex]AB = 2\cdot BC[/tex]
[tex]\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}} = 2\cdot \sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.
[tex]y_{A}, y_{B}, y_{C}[/tex] - y-Coordinates of points A, B and C.
[tex](x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2} = 4\cdot (x_{C}-x_{B})^{2}+4\cdot (y_{C}-y_{B})^{2}[/tex]
Then, we expand and simplify the expression above:
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} +x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot (x_{C}^{2}-2\cdot x_{C}\cdot x_{B}+x_{B}^{2})+4\cdot (y_{C}^{2}-2\cdot y_{C}\cdot y_{B}+y_{B}^{2})[/tex]
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} + x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot x_{A}^{2}-8\cdot x_{C}\cdot x_{B}+4\cdot x_{B}^{2}+4\cdot y_{C}^{2}-8\cdot y_{C}\cdot y_{B}+4\cdot y_{B}^{2}[/tex]
If we know that [tex]x_{A} = 5[/tex], [tex]y_{A} = 6[/tex], [tex]x_{B} = 1[/tex], [tex]y_{B} = b[/tex], [tex]x_{C} = 1[/tex] and [tex]y_{C} = -3[/tex], then we have the following expression:
[tex]1 -10 +25 +b^{2} -12\cdot b+36 = 100 -8 +4 +36+24\cdot b +4\cdot b^{2}[/tex]
[tex]b^{2}-12\cdot b +52 = 4\cdot b^{2}+24\cdot b +132[/tex]
[tex]3\cdot b^{2}+36\cdot b +80 = 0[/tex]
This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:
[tex]b_{1} \approx -2.944[/tex], [tex]b_{2} \approx -9.055[/tex]
In consequence, the possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
Which graphs of ordered pairs represent functions?
Answer:
I thin its b.
Step-by-step explanation:
Given the figure below with m
HELP ASAP. I’LL MARK YOU BRAINLIEST!!
Answer:
c
Step-by-step explanation:
9514 1404 393
Answer:
C 83°
Step-by-step explanation:
The measure of inscribed angle BDA is half the measure of the arc it intercepts.
∠BDA = (1/2)arcBFA = (1/2)(166°)
∠BDA = 83°
NEED HELP ASAP!! 35 POINTS
Rob is a geologist. He is surveying a conical crater that was created by a meteor impact. From one end to another, the crater forms a V shape. The deepest part of the crater is 400 feet deep. The depth of the crater varies at a rate of 0.25 foot with the horizontal distance from the west end of the crater.
The equation that models the depth of the crater, d, in feet, with respect to the horizontal distance in feet from the west end of the crater, h, is d =
. The depth of the crater is 250 feet at horizontal distances of
and
feet from the west end.
Answer:
equation: d(h) = 0.25|h -1600| -400 depth is 250 ft at 1000 ft and 2200 ft from the west edgeStep-by-step explanation:
The crater shape can be modelled by an absolute value function with a slope of 0.25. The vertex of the function will not be at (0, 0) but will be at (1600, -400). The usual methods of translating functions apply. Horizontal displacement of the vertex is subtracted from the independent variable; vertical displacement is added to the function value.
d(h) = 0.25×|h -1600| -400
We know the horizontal displacement is 1600 ft, because the depth changes at a rate of 1/4 foot for each horizontal foot. A depth change of 400 feet will require 1600 horizontal feet to accomplish.
__
At a depth of 250 ft, the distance from the west edge can be found from ...
-250 = 0.25|h -1600| -400
150 = 0.25|h -1600| . . . . . . . . add 400
600 = |h -1600| . . . . . . . . . . . multiply by 4
This resolves to two equations:
-600 = h -1600 ⇒ h = 1000
600 = h -1600 ⇒ h = 2200
The depth is 250 ft at distances of 1000 ft and 2200 ft from the west edge.
Answer:
0.25|x-1,600|-400 / 1,000 / 2,200
Step-by-step explanation:
99% sure
7.2.8 Scientists at the Hopkins Memorial Forest in western Mas- sachusetts have been collecting meteorological and environmen- tal data in the forest data for more than 100 years. In the past few years, sulfate content in water samples from Birch Brook has averaged 7.48 mg/L with a standard deviation of 1.60 mg/L. a. What is the standard error of the sulfate in a collection of 10 water samples
Answer:
The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Standard deviation of 1.60 mg/L.
This means that [tex]\sigma = 1.6[/tex]
Collection of 10 samples:
This means that [tex]n = 10, s = \frac{1.6}{\sqrt{10}} = 0.506[/tex]
The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.
Write the equation of the following circle in general form and standard form. Show your work.
Answer:
I’m coming back to this hold on a sec brotha and be patient
Step-by-step explanation:
Your recipe for muffins says you have to 3 times as many blueberries than strawberries. Write an expression for the situation. Next, explain how you know your expression matches the situation.
Answer:
n × 3 = (answer)
Step-by-step explanation:
If you need 3 times as many blueberries than strawberries for the recipe, then multiplying the number of strawberries you have by three will get you the number of blueberries that you need.
Which equation represents a line passing through the point (8, 9) with a slope of 3?
A) y = 3x - 15
B) y = 3x - 8
C) y = 3x + 33
D) y = 3x + 9
Answer:
a
Step-by-step explanation:
basically the number with x is always the slope and I really just put the equations into a inspire and got the answer by which one matched
The equation of line passing through the point (8, 9) with a slope of 3
will be;
⇒ y = 3x - 15
Option A is true.
What is Equation of line?
The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The slope of the line = 3
And, The point on the line = (8, 9)
Now,
Since, The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Hence, The equation of line passing through the points (8, 9) with slope '3' is defined as;
⇒ y - y₁ = m (x - x₁)
⇒ y - 9 = 3 (x - 8)
⇒ y - 9 = 3x - 24
⇒ y = 3x - 24 + 9
⇒ y = 3x - 15
Thus, The equation of line passing through the point (8, 9) with a slope of 3 will be;
⇒ y = 3x - 15
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Find the common difference of the arithmetic sequence -7, -1, 5, ...
Answer:
d = -6
Step-by-step explanation:
common difference, d = -7-(-1) = -6
Find the mean of the data
Answer:
The mean of the data is 3237888
Step-by-step explanation:
12*16*8*31*28*17(Don't include 0)
22665216/7 (The number of days)
3237888(Answer)
Tell me if you have any questions. :)
Answer:
The mean is 16
Step-by-step explanation:
Add all the values together to get 112.
12 + 16 + 0 + 8 + 31 + 28 + 17
= 112.
To find the mean, divide the sum by how many values we added.
We added 7 values, including 0.
112 ÷ 7 =
16. <--- the mean
Where does the graph of cosine begin?
Answer:
Step-by-step explanation:
Cosine starts at 1 and then goes down till 180 degrees and then goes up again..
Hope this helps..
Write the slope-intercept form of the line given point and slope. ( show work if possible please)
through: (-2,-5), slope = 5
Answer:
y=5x+5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=5(x-(-2))
y+5=5(x+2)
y=5x+10-5
y=5x+5
From 250 candidates who sat for a written examination for a job, 45 of them scored above 85%. The personnel division suggested that those candidates who have scored above 85% in the written examination could sit for interview. What percent of the candidates did not have a chance for interview?
82% of the candidates did not have a chance for an interview.
We have,
To find the percentage of candidates who did not have a chance for an interview, we need to subtract the percentage of candidates who scored above 85% from 100%.
Number of candidates who scored above 85%: 45
Total number of candidates: 250
Percentage of candidates who scored above 85%:
= (45/250) x 100%
= 18%
Percentage of candidates who did not have a chance for an interview:
= 100% - 18%
= 82%
Therefore,
82% of the candidates did not have a chance for an interview.
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Frank has 6 red socks, 8 black socks, and 10 white socks in his sock drawer. If Frank blindly reaches into his sock drawer, what is the probability that he will select a white sock and then another white sock? Round to the nearest percent A. 9% B. 16% C. 41% D. 80%
Answer:
B
Step-by-step explanation:
The first probability is 10/24, and the second is 9/23. If you multiply these two fractoins you get 15/92. 15/92 is approximately equal to 16%.
What is the unit multiplier for days and weeks?
Answer:
days 7
weeks 4
Step-by-step explanation:
there are 7DAYS Iin a week
there are 4WEEKS in a month
3(3 - 4n) + 6n < -2n + 5
Answer:
1 < n
Step-by-step explanation:
3(3 - 4n) + 6n < -2n + 5
9 - 12n + 6n < -2n + 5
9 - 6n < -2n + 5
9 < 4n + 5
4 < 4n
1 < n
I hope this is accurate and helpful. Please let me know if it’s correct! It’s been a while since I’ve done inequalities.
Garrick and Zan are measuring the heights of seedling plants for science class.
Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.
CLEAR CHECK
Because Garrick's plant is... than Zan's plant, each millimeter of error results in a ....percent error.
Garrick's measurement was ... millimeters off and Zan's was... millimeters off, so Garrick's measurement was ... % off and Zan's was
Garrick's measurement was 2 mm off. (10 - 8 = 2)
Zan's measurement was 12 mm off. (100 - 88 = 12)
Garrick's percent error was 20% (2 / 10 x 100)
Zan's percent error was 12% (12 / 100 x 100)
Round off 123,546,789 to the indicated degree of precision:
6. to the nearest hundred
7. to the nearest thousand
8. to the nearest ten thousand
9. to the nearest million
10. to the nearest ten million
Answer:
Keep the number in the place value you are rounding to the same. Increase the number in the place value you are rounding to by 1.
...
Additional Resources
Round the number 227.18 to the nearest ten.
Round the number 856.861203 to the nearest thousandth.
Round the number 599.495 to the nearest tenth.
The dot plot shows the number of touchdowns a football team scored in 10 games
Answer:
Step-by-step explanation:
B. The data clustered from 0 to 2
A number machine is shown below.
INPUT
ADD 9
MULTIPLY
BY 5
OUTPUT
a) Calculate the INPUT when the OUTPUT is 40.
[2]
b) Calculate the OUTPUT when the INPUT is n.
+
[2]
Cory writes the polynomial x7 + 3x5 + 3x + 1. Melissa writes the polynomial x7 + 5x + 10. Is there a difference between the degree of the sum and the degree of the difference of the polynomials?
Answer:
Yes??
Step-by-step explanation:
7+3x5+3x+1
7+15+3x+1
22+3x+1
3x+23
7+5x+10
5x+17
Yes, much difference
---
hope it helps
sorry if i'm wrong, sum of the x's confused me
Answer:D
Step-by-step explanation:
Graph the polynomial function,
f(x) = – x3 + 2x2
See attatched picture
Which of the following is an equation of the line through (2,3) and (-1, -12)?
Answer:
C (y=5x-7)
Step-by-step explanation:
First, you find the slope between the 2 points which is 5, then you use one of the points to form an equation.
You then find it's y=5x-7.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
a 90° clockwise rotation
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
There are no words to explain sorry!
Simplify: 90 - 5 (19 + 17-1-26)
Answer:
QUESTION:
Simplify: 90 - 5 (19 + 17-1-26)
ANSWER:
45
Step-by-step explanation:
I hope that this helps you out! :)
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you out.
What is the area of the triangle? 13 5 12
Answer:29
Step-by-step explanation:
The average daily temperatures in degrees Fahrenheit for one week in July were 94, 92, 90, 95, 71, 89, and 92. Name any outliers in the data.
Answer:
Interquartile range: 5
Outlier: 71
Potential outlier: none
Step-by-step explanation:
Select the correct answer.
Sharl started to use the grouping method to factor the expression x2 + 5x - 84 as shown.
x2 + 5x - 84
x2 + 12x - 7x - 84
Which expression could be the next step in completely factoring the expression?
OA. x(x+12) - 7(x+12)
B. (x-12)+7(x - 12)
OC. (x + 12 - 7) - 84
OD. x + 12x + 7(x - 12)
Answer:
A.[tex]x(x+12) -7(x+12)[/tex]
Step-by-step explanation:
Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:
[tex]x^2 +5x - 84[/tex]
First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.
[tex]x^2 +12x - 7x - 84[/tex]
Now take out the common factors,
[tex]x(x+12) -7(x+12)[/tex]
Thus, the correct option is choice (A).