Answers
Answer:
x = 3.5
Step-by-step explanation:
Triangle to the right:
4^2 + x^2 = 8^2
16 + x^2 = 64
y^2 = 48
Triangle to the left:
x^2 + 6^2 = 48
x^2 + 36 = 48
x^2 = 12
x = sqrt(12)
x = 3.5
Related Questions
how do you find the slope of -2
Answers
The Graduate Management Admission Test (GMAT) is used by many graduate schools of business as one of their admission criteria. Using your own reasoning and concepts, criticize each of the following conclusions.
Statements
a. "Last year, 7,573 computer science majors took the GMAT, compared with only 588 philosophy majors. Philosophy majors must not be interested in business because so few take the GMAT."
b. "Last year, 29,688 engineering majors took the GMAT, compared with only 3,589 English majors. Clearly, more students major in engineering than in English."
c. "Last year, physics majors averaged 100 points higher on the GMAT than marketing majors. If marketing students majored in physics, they would score better on the GMAT."
d. "On average, physics majors score higher on the GMAT than accounting majors. Therefore, physics majors would make the best managers."
Answers
Answer:
Ideez
Step-by-step explanation:
Reflections were shown across the x- and y-axes but reflections can occur across any line. The figure above shows quadrilateral EFGH reflected about the line y=x. Which best describes what happens to the ordered pair for this reflection?
1. (x,y) → (y,x)
2. (x,y) → (-x,-y)
3. (x,y) → (-y,-x)
4. There is no relationship between the points.
Answers
Answer:
1. (x,y) → (y,x)
Step-by-step explanation:
Coordinate of point E:
Before the transformation, the coordinate of point E was given by (3,-6).
After the transformation, we have E'(-6,3), which eliminates options 2 and 3.
For the other points, we will also get, (x,y) -> (y,x), which is the rule given when the original figure is reflected over the line y = x, and thus, the correct answer is given by option 1.
It takes Ricky, traveling at 24 mph, 45 minutes longer to go a certain distance than it takes Maria traveling at 51 mph, Find the distance traveled.
Answers
Answer:
85 mi
Step-by-step explanation:
Let d = the distance in miles traveled
Let M = the time in hours for Maria to travel d miles
[tex]m+\frac{3}{4} =[/tex] time in hours for Ricky to travel d miles
(Note that [tex]\frac{3}{4}[/tex] hrs = 45 min)
----------------------
Maria's equation:
d = 51m
Ricky's equation:
d = 24 · [tex](m+\frac{3}{4} )[/tex]
----------------------
Substitution:
51m = 24 · [tex](m+\frac{3}{4} )[/tex]
51m = 24m + 45
6m = 10
m = [tex]\frac{5}{3}[/tex]
----------------------
d = 51m
d = 51 · [tex](\frac{5}{3})[/tex]
d = 85
----------------------
The distance traveled is 85 mi
If it takes Ricky, traveling at 24 mph, 45 minutes longer to go a certain distance than it takes Maria traveling at 51 mph, the distance traveled is 85 miles
Speed and distancesSpeed is the ratio of distance traveled to time taken. Mathematically:
Distance = Speed/Time
According to the given question:
Let d be the distance in miles traveledLet M be the time in hours for Maria to travel d milesLet the required time in hours for Ricky to travel be d milesSet up the Maria equation:
d = 51m
Set up Ricky's equation:
d = 24 · (m+3/4)
Substitute
51m = 24 · (m+3/4)
51m = 24m + 45
6m = 10
m = 5/3
Determine the required distance
d = 51m
d = 51 · 5/3
d = 85
Hence the distance traveled is 85 mile
Learn more on distance and speed here: https://brainly.com/question/26046491
09:30 am - 4:30 pm minus 30 minutes?
Answers
Answer:
4:30
because 9:30 minus 4:30 = 5:00 and 5:00 minus 30 =4:30
Part 1: Joe and Hope were both asked to factor the following polynomial completely. Is one of them correct? Both of them? Neither of them? Explain what each of them did was correct and/or incorrect.
Part 2:
Find all the values of k so the the quadratic expression factors into two binomials. Explain the process used to find the values.
3x^2 + kx - 8
Answers
If we simplify, both Joe and Hope factored the polynomial correctly but Joe didn't complete it fully.
The first binomial can be further factored:
8x + 12 = 4(2x + 3)Part 2The quadratic expression needs to have two roots in order to be factored as two binomials.
The discriminant must be positive or zero:
D = b² - 4ac ≥ 0We have a = 3, b = k, c = -8
So we get following inequality:
k² - 4*3*(-8) ≥ 0k² + 96 ≥ 0Since k² is positive for any value of k, the solution is any value of k:
k ∈ RHope this attachment helps you.
Find the length of an arc of a circle with a 8-cm radius associated with a central angle of 240 degrees. Give your answer in exact and approximate form to the nearest hundredth.
Answers
Answer:
l = 1920 cm
Step-by-step explanation:
Given that,
The radius of circle, r = 8 cm
The central angle is 240 degrees
We need to find the length of the arc. We know that,
[tex]l=r\theta[/tex]
Where
l is the length of the arc
So,
[tex]l=8\times 240[/tex]
[tex]\implies l=1920\ cm[/tex]
so, the length of the arc is equal to 1920 cm.
Please help NO LINKS
Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by
y
=
x
2
,
y
=
0
, and
x
=
5
,
about the
y
-axis.
V
=
Answers
Answer:
[tex]\displaystyle V = \frac{625 \pi}{2}[/tex]
General Formulas and Concepts:
Algebra I
FunctionsFunction NotationGraphingCalculus
Integrals
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Shell Method: [tex]\displaystyle V = 2\pi \int\limits^b_a {xf(x)} \, dx[/tex]
[Shell Method] 2πx is the circumference[Shell Method] 2πxf(x) is the surface area[Shell Method] 2πxf(x)dx is volumeStep-by-step explanation:
Step 1: Define
y = x²
y = 0
x = 5
Step 2: Identify
Find other information from graph.
See Attachment.
Bounds of Integration: [0, 5]
Step 3: Find Volume
Substitute in variables [Shell Method]: [tex]\displaystyle V = 2\pi \int\limits^5_0 {x(x^2)} \, dx[/tex][Integrand] Multiply: [tex]\displaystyle V = 2\pi \int\limits^5_0 {x^3} \, dx[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle V = 2\pi \bigg( \frac{x^4}{4} \bigg) \bigg| \limits^5_0[/tex]Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle V = 2\pi \bigg( \frac{625}{4} \bigg)[/tex]Multiply: [tex]\displaystyle V = \frac{625 \pi}{2}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Applications of Integration
Book: College Calculus 10e
how many crores are there in 20 million
Answers
Answer:
20 million = 2 crore
Step-by-step explanation:
Here we will show you how to convert 20 million to crores (twenty million in crores). This may be useful if you for example want to convert 20 million rupees to crore rupees or 20 million dollars to crore dollars.
In some parts of the world like the United States, large numbers are separated with commas in three-digit-interval format like this:
...,BBB,MMM,TTT,HHH
BBB = billions
MMM = millions
TTT = thousands
HHH = hundreds
In certain parts of Asia, the format is a little different. From right to left, it starts out with three digits followed by a comma like the US, but after that, it is in intervals of two digits like this:
..,AA,CC,LL,TT,HHH
AA = arabs
CC = crores
LL = lakhs
TT = thousands
HHH = hundreds
Below we have displayed 20 million with the two number systems, based on the information above:
MM,TTT,HHH
20,000,000
=
C,LL,TT,HHH
2,00,00,000
When you match up 20 million with the C,LL,TT,HHH format above, you can see what 20 million is in crores. The answer to 20 million in crores is as follows:
20 million
= 2 crore
Based on a sample survey, a company claims that 86% of their customers are satisfied with their products. Out of 1,100 customers, how many would you predict to be satisfied?
Answers
Answer:
946 people
Step-by-step explanation:
Find how many you would predict to be satisfied by multiplying 1,100 by 0.86:
1,100(0.86)
= 946
So, you could expect 946 people to be satisfied
Can someone pls help asap i will give Brainliest
Answers
Answer:
24/145
Step-by-step explanation:
Trigonometric identities are equalities involving trigonometric functions and remains true for entire values of the variables involved in the equation.
Some trigonometric identities are:
sin(a + b) = sinacosb + cosasinb; sin(a - b) = sinacosb - cosasinb
cos(a + b) = cosacosb - sinasinb; cos(a - b) = cosacosb + sinasinb
Given that sin a = 3/5. sin a = opposite/hypotenuse.
Hence opposite = 3, hypotenuse = 5. using Pythagoras:
hypotenuse² = opposite² + adjacent²
5² = 3² + adjacent²
adjacent² = 16
adjacent = 4
Given that sin a = 3/5. a = sin⁻¹(3/5) = 36.86
cos a = cos 36.86 = 4/5
cos b = -20/29; b = cos⁻¹(-20/29) = 133.6
sinb = sin(133.6) = 21/29
sin(a + b) = sinacosb + cosasinb = (3/5 * -20/29) + (4/5 * 21/29) = -12/29 + 84/145
sin(a + b) = 24/145
Thane Company is interested in establishing the relationship between electricity costs and machine hours. Data have been collected and a regression analysis prepared using Excel. The monthly data and the regression output follow:
Month Machine Hours Electricity Costs
January 2,300 $ 19,100
February 2,700 $ 22,400
March 1,700 $ 14,200
April 2,900 $ 24,400
May 3,600 $ 28,950
June 3,100 $ 23,400
July 3,900 $ 25,450
August 3,300 $ 23,450
September 1,800 $ 16,900
October 3,500 $ 27,400
November 4,500 $ 32,400
December 4,000 $ 28,450
Summary Output
Regression Statistics
Multiple R 0.957
R Square 0.917
Adjusted R2 0.908
Standard Error 1,586.26
Observations 12.00
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 5,970.52 1,766.77 3.38 0.01 2,033.90 9,907.13
Machine Hours 5.76 0.55 10.49 0.00 4.54 6.98
The percent of the total variance that can be explained by the regression is:
Answers
Answer:
0.924
Step-by-step explanation:
R² = 0.854
R = √0.854
R = 0.924
Hence, the correlation Coefficient of electricity tarrif is 0.924 ; this correlation Coefficient value, depicts a strong positive correlation between machine hours and cost of electricity. And can he interpreted to mean that ; Electricity tarrif increases as machine hours increases and also decreases as machine hours decreases.
what is the answer to this equation4
5
+ v =
41
20
Answers
Answer:
4075
Step-by-step explanation:
For two consecutive numbers, five times the number that is less is 3 more than 4 times the greater number, What are the numbers
This is due on 7/1/2021 at 8AM PST. Someone please help?
Answers
What is the sum?
CO
3 5
x2-gx+3
+
8
x2+x-6
O
5x-12
X-3
-5x
(x+3)(x-3)
O
5x-12
(x+3)(x-3)
Answers
The probability that a person will develop the flu after getting a flu shot is 0.04. In a random sample of 100 people in a community who got a flu shot, what is the probability that 5 or more of the 100 people will get the flu
Answers
Answer:
0.3711 = 37.11% probability that 5 or more of the 100 people will get the flu
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they will develop the flu after getting the shot, or they will not. The probability of a person developing the flu after getting the shot is independent of any other person, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that a person will develop the flu after getting a flu shot is 0.04.
This means that [tex]p = 0.04[/tex]
Random sample of 100 people:
This means that [tex]n = 100[/tex]
What is the probability that 5 or more of the 100 people will get the flu?
This is:
[tex]P(X \geq 5) = 1 - P(X < 5)[/tex]
In which
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.04)^{0}.(0.96)^{100} = 0.0169[/tex]
[tex]P(X = 1) = C_{100,1}.(0.04)^{1}.(0.96)^{99} = 0.0703[/tex]
[tex]P(X = 2) = C_{100,2}.(0.04)^{2}.(0.96)^{98} = 0.1450[/tex]
[tex]P(X = 3) = C_{100,3}.(0.04)^{3}.(0.96)^{97} = 0.1973[/tex]
[tex]P(X = 4) = C_{100,4}.(0.04)^{4}.(0.96)^{96} = 0.1994[/tex]
Then
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0169 + 0.0703 + 0.1450 + 0.1973 + 0.1994 = 0.6289[/tex]
[tex]P(X \geq 5) = 1 - P(X < 5) = 1 - 0.6289 = 0.3711[/tex]
0.3711 = 37.11% probability that 5 or more of the 100 people will get the flu
Kim ran 9/10 of a mile. Adrian ran 3/5 of a mile Adrian claims that Kim ran 1 3/10 times farther than him Kim says that she actually ran 1/2 times farther than Adrian who is correct
Answers
9514 1404 393
Answer:
Kim
Step-by-step explanation:
The ratio of Kim's distance to Adrian's distance is ...
(9/10)/(3/5) = (9/10)/(6/10) = 9/6 = 3/2 = 1.5
__
You need to be very careful with the wording here. Kim ran 1 1/2 times as far as Adrian. That is, she ran Adrian's distance plus 1/2 Adrian's distance.
If we take the wording "1/2 times farther" to mean that 1/2 of Adrian's distance is added to Adrian's distance, then Kim is correct.
_____
In many Algebra problems, you will see the wording "k times farther" to mean the distance is multiplied by k. If that interpretation is used here, neither claim is correct, as Kim's distance is 1 1/2 times farther than Adrian's.
On the other hand, if the value of "k" is expressed as a percentage, the interpretation usually intended is that that percentage of the original distance is added to the original distance. Using this interpretation, Kim's distance is 50% farther than Adrian's. (Note the word "times" is missing here.)
__
Since Adrian ran 1 5/10 the distance Kim ran, Adrian's claim is incorrect regardless of the interpretation. If you require one of the two to be correct, then Kim is.
15.18. Find the area of the region bounded by
TC
the curve y = cosx, x=0, x= pi/
2 and x-axis.
Answers
Answer:
please mark me brainlist
Step-by-step explanation:
Draw a triangle ABC, where AB = 8 cm , BC = 6 cm and angle B=70^ and locate its circumcentre and draw the circumcircle.
Answers
Step-by-step explanation:
ΔABC, where AB = 8 cm, BC = 6 cm, B = 70° Construction: (i) Draw the ∆ABC with the given measurements. (ii) Construct the perpendicular bisector at any two sides (AB and BC) and let them meet at S which is the circumcircle. (iii) S as centre and SA = SB = SC as radius, draw the circumcircle to pass through A, B, and C. Circum radius = 4.3cm .draw-triangle-abc-where-cm-bc-and-70-and-locate-its-circumcentre-and-draw-the-circumcircle
The triangles are similar by??
Answers
the SAS similarity theorem
A rectangular prism is 3 feet long, 4 feet wide, and 4 feet high. What is it's surface area?
Answers
Answer:
80 ft
Step-by-step explanation:
The formula for finding the surface area of a rectangular prism is:
A = 2(wl + hl + hw)
A = 2({4x3} + {4x3} + {4x4})
A = 2 (12 + 12 + 16)
A= 2 ( 40)
A = 80 feet
Pls help quick:
The following figures are not drawn to scale but
AB and CD (if present in the picture) are straight lines. Find x:
Answers
Step-by-step explanation:
2x+60°= 110°
2x= 110-60
2x= 50
x= 25°
LOOK AT THE BOTTOM PLEASE BE RIGHT
Answers
Answer:
Translation
Step-by-step explanation:
A translation is when the triangle is moved around on the graph without it being reflected or changed in any way. I will be the same exact triangle, just with different coordinates.
Hope this helps!
work out the area of this shape ,give me right answer with explanation I’ll pay you
Answers
Answer:240 square centimeters
Step-by-step explanation:
1. 10x7=70
2. 7x10=70
3. 25x4=100
70+70+100=240
The nth term of 8, 8^4, 8^7, 8^10
Answers
Answer:
[tex]8^{3(n-1)+1}[/tex]
Step-by-step explanation:
PLEASE HELP :) I will give all points
Answers
answer choice a
x^2 - 5x - 1 = 0
a=1, b=-5, and c=-1
next you plug in the numbers into the quadratic formula
-(-5) plus or minus the square root of (-5)^2 - 4(1)(-1)/ 2(1)
after you simply, you should get 5 plus or minus the square root of 29, which is answer choice a
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1125. What was the rate charged per hour by each mechanic if the sum of the two rates was $140 per hour?
Answers
Answer:
The first mechanic charged $ 85 an hour, and the second mechanic charged $ 55 an hour.
Step-by-step explanation:
Given that two mechanics worked on a car, and the first mechanic worked for 10 hours, and the second mechanic worked for 5 hours, and together they charged a total of $ 1125, to determine what was the rate charged per hour by each mechanic if the sum of the two rates was $ 140 per hour, the following calculation must be performed:
1125/15 = X
75 = X
80 x 10 + 60 x 5 = 800 + 300 = 1100
85 x 10 + 55 x 5 = 850 + 275 = 1125
Therefore, the first mechanic charged $ 85 an hour, and the second mechanic charged $ 55 an hour.
Question:
which is a y-intercept of the graphed function?
Answers:
A. (-9,0)
B. (-3,0)
C. (0,-9)
D. (0,-3)
Answers
Answer:
(0, -9)
Step-by-step explanation:
The y intercept is the y value when x =0
(0, -9)
The fracture strength of a certain type of manufactured glass is normally distributed with a mean of 509 MPa with a standard deviation of 17 MPa. (a) What is the probability that a randomly chosen sample of glass will break at less than 509 MPa
Answers
Answer:
0.5 = 50% probability that a randomly chosen sample of glass will break at less than 509 MPa
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 509 MPa with a standard deviation of 17 MPa.
This means that [tex]\mu = 509, \sigma = 17[/tex]
What is the probability that a randomly chosen sample of glass will break at less than 509 MPa?
This is the p-value of Z when X = 509. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{509 - 509}{17}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5
0.5 = 50% probability that a randomly chosen sample of glass will break at less than 509 MPa
Can someone please help?
Find the value of x for the right triangle.
Answers
Answer:
5
Step-by-step explanation:
cos60° = x / 10
10cos60° = x
10cos60° = 5
