Convert the units to the nearest tenth.
Enter the correct answer in the box.
Show Hints
kilometers = 50 miles
Answer:
80.5
Step-by-step explanation:
Help x^2+10x=24 solve and simplify
Answer:
x= 2, x= -12
Step-by-step explanation:
cuz i said so
first move the 24 to the other side of the equation by subtracting it from both side's
now the equation looks like this
x^2+10x-24
then find values that add to equal 10 and that also multiply to equal -24
this works out to (x-2) (x+12)
which means that x is equal to 2 and -12
Peter says, If you subtract 16 from my number and multiply the difference by −6, the result is −84. What is Peters number?
Answer:
30
Step-by-step explanation:
[tex] - 6(x - 16) = - 84[/tex]
[tex]x - 16 = 14[/tex]
[tex]x = 30[/tex]
Factor the following expression. x^3 + 2x^2 - 16x - 32
IMMAGE ATTACHED
Answer:
The answer is A.
Step-by-step explanation:
I used an online Calculator to calculate it for you.
(x + 4) * (x - 4) * (x + 2)
(x^2 - 4^2) * (x+2)
x^3 + 2x^2 - 16x^2 - 32
last year the hiking club had 19 members. this year there are 37 members in the club. estimate the percetnage change in the number of club members
pls help me wirh this
What is this question asking and how do I solve it?
Answer:
the question is asking what it is the segment between HB,HG and CG
Step-by-step explanation:
Can someone help me with this problem?
Answer:
yes
Step-by-step explanation:
4:8 and 3:6 when simplified gives the same result which is 1:2
Answer:
A.) Yes, they do catch fish at the same rate.
Daniel:
4 : 8
Lester:
3 : 6
Both of these ratios have a rate of 1 catfish for every 2 trout. Daniel has just caught 1 more catfish and 2 more trout.
4 - 1 = 3
8 - 2 = 6
Both have a rate of catching 1 catfish for every 2 trout.
Step-by-step explanation:
Have a great rest of your day
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Jill Barley obtained a 25-year, $145,117 mortgage loan from University Savings and Loan Association. The
interest rate is 6 percent. The monthly payment is $1,800.00. For the first payment, what is he interest?
Answer:
175,424.02
Step-by-step explanation:
multiply 145,117 by 106%
multiply 1800 by 12 (months in a year)
add 21600 to 153,824.02
The lengrh of a rectangle is represented by the function L(x) = 5x. The width of that same rectangle is represented by the function W(x) = 2x^2 - 4x + 13. Which of the following shows the area of the rectangle in terms of x?
Step-by-step explanation:
just multiply the 2 together to get the area
it would just be
[tex](5x) \times (2{x}^{2} - 4x + 13)[/tex]
use the distributive property
[tex]10 {x}^{3} - 20 {x}^{2} + 65[/tex]
unless you want to simplify the answer, this would be the answer
simplified, it would be
[tex]5(2{x}^{3} - 4 {x}^{2} + 13)[/tex]
A race car is equipped with jets that can make it go from 0 to 64 mph (about 28 m/s) in 4 seconds. What is the acceleration of the car using its jets?
Answer:
So that it can run faster
Answer:
[tex]a = change \: in \: v \div time[/tex]
Step-by-step explanation:
Change in V =28-0
=28
time =4 sec
Therefore acceleration =28 ÷4
7m/s^-2
A trapezoid has an area of 36 square feet. If its height is 8, and one base is 4, what is the length of the other base?
Answer:
5
Step-by-step explanation:
A=a+b/2 x h
4 = a
5 = b
8 = h
4 + 5 / 2 = 4.5
4.5 x 8 = 36
So the other base length is 5
A cone has a base with a diameter of
12 inches and a height of 15 inches. What
is the volume of the cone in
cubic inches
using 3.14 for 77?
Answer:
452.16 in^3
Step-by-step explanation:
Volume of a cone = 1/3 pi r^2 h
= 1/3 (3.14)(6^2) (12)
Find the root of the equation 2x (x -8)=(x + 1)(2x – 3).
Answer: 1/5
Step-by-step explanation:
The root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4. To find the root of the equation 2x(x - 8) = (x + 1)(2x - 3), we need to solve for the value of "x" that makes both sides of the equation equal.
First, let's expand both sides of the equation:
2x(x - 8) = (x + 1)(2x - 3)
[tex]2x^2 - 16x = 2x^2 - x - 3x + 3[/tex]
Now, combine like terms on the right-hand side:
[tex]2x^2 - 16x = 2x^2 - 4x + 3[/tex]
Next, subtract [tex]2x^2[/tex] from both sides to get the x terms on one side:
-16x = -4x + 3
Now, bring all the x terms to one side by subtracting -4x from both sides:
-16x + 4x = 3
Simplify the left-hand side:
-12x = 3
Finally, solve for x by dividing both sides by -12:
x = 3 / -12
x = -1/4
So, the root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4.
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I need help with this question. Question is in image below.
Answer:
A. Answer is 2263.
Checkpoint 1 is -86 Checkpoint 4 is 2177
Subtract -86 from 2177....2177-(-86)
=2263
2263 is how much higher checkpoint 1 (-86) is from checkpoint 4 (2177)
B. 239 FEET.
the altitude of the hill must be subtracted by the depth of the ckeckpoint(2)(-189)
therefore the altitude of the hill comes out to be 428-189=239feet.
therefore,the actual altitude of the hill is 239 feet.
An airplane flies with a constant speed of 620 miles per hour. How far can it travel in 2 hours 30 minutes?
Answer:
1550 miles
Step-by-step explanation:
rate * time = distance
620 m/hr * 2.5 hr = 1550 miles
(Note that 2 hr and 30 min is 2 and 1/2 hours = 2.5 hours)
An educational researcher claims that the average GPA of graduate students at FIU is less than 3.5 . To test his claim he collected data on 81 graduate students . The sample mean GPA was 3.25 with a standard deviation of 0.3 . What is the value of the test statistic to test this claim
The value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.
How to find the z score (z statistic) for the sample mean?If we're given that:
Sample mean = [tex]\overline{x}[/tex]Sample size = n Population mean (hypothesized)= [tex]\mu[/tex]Sample standard deviation = sThen, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]
If the sample standard deviation is not given, then we can estimate it by:
[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
where [tex]\sigma[/tex] = population standard deviation
For this case, since the sample size is 81 > 30, and we want to compare the mean (population mean) with some hypothesized mean (3.5 here), therefore, we can use one-sample z-test, which has the aforesaid test statistic.
We're provided that:
n = sample size = 81sample mean = [tex]\overline{x}[/tex] = 3.25sample standard deviation = s = 0.3hypothesized population mean with which comparison is done = [tex]\mu= 3.5[/tex]Thus, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s} = \dfrac{3.25 - 3.5}{0.3} \approx -0.83[/tex]
Thus, the value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.
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Two prisms are similar if the ratio of the base if the two prisms is 49:196 what is the ratio of the volumes of the prisms
Answer:
1:8
Step-by-step explanation:
First, you must find the scale factor. Because you are given the area of the base, you must take the square root of 49 and 196. That leaves you with 7:14, and that simplifies to 1:2. To find the ratio of the volumes, you must cube both. That leaves you with a 1:8 ratio.
Solve the system of equations.
Answer:
1) {y,x}={-3,-23}
2) {x,y}={7,-9/2}
Step-by-step explanation:
Required:
Solve systems of equations1) y - x = 20, 2x - 15y = -1
Equations Simplified or Rearranged :
[1] y - x = 20
[2] -15y + 2x = -1
Graphic Representation of the Equations :
x + y = 20 2x - 15y = -1
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = x + 20
// Plug this in for variable y in equation [2]
[2] -15•(x +20) + 2x = -1
[2] - 13x = 299
// Solve equation [2] for the variable x
[2] 13x = - 299
[2] x = - 23
// By now we know this much :
y = x+20
x = -23
// Use the x value to solve for y
y = (-23)+20 = -3
Solution :
{y,x} = {-3,-23}
2) 25-x=-4y,3x-2y=30
Equations Simplified or Rearranged :
[1] -x + 4y = -25
[2] 3x - 2y = 30
Graphic Representation of the Equations :
4y - x = -25 -2y + 3x = 30
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = 4y + 25
// Plug this in for variable x in equation [2]
[2] 3•(4y+25) - 2y = 30
[2] 10y = -45
// Solve equation [2] for the variable y
[2] 10y = - 45
[2] y = - 9/2
// By now we know this much :
x = 4y+25
y = -9/2
// Use the y value to solve for x
x = 4(-9/2)+25 = 7
Solution :
{x,y} = {7,-9/2}
Find the volume of a right circular cone that has a height of 8.9 ft and a base with a radius of 14.3 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
1905.9 cubic feet
Step-by-step explanation:
Use the formula for a volume of a cone - 1/3 * pi * radius^2 * height
Find volume of a cone - 1/3 * pi * 14.3^2 * 8.9 = 1905.8587024733 cubic feet
Round to nearest tenth - 1905.9 cubic feet
:)
BIG QUESTION, 100 POINTS
Line p contains point (6, -5) and is perpendicular to line q. The equation for line q is y = 3x + 5. Write an equation for line p.
Find the slope of line q.
Find the slope of line p. (Write the negative reciprocal of the slope you found in Part I.)
Use the point given for line p and the slope you found in Part II to write an equation for line p in point-slope form: y - y1 = m (x - x1)
Use your equation from Part III to write an equation for line p in slope-intercept form: y = mx + b. Show your work.
Answer:
[tex]\textsf{Slope of line q}: \quad 3[/tex]
[tex]\textsf{Slope of line p}:\quad -\dfrac{1}{3}[/tex]
[tex]\textsf{Equation of line p in slope-point form}: \quad y+5=-\dfrac{1}{3}(x-6)[/tex]
[tex]\textsf{Equation of line p in slope-intercept form}: \quad y=-\dfrac{1}{3}x-3[/tex]
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]y = mx + b[/tex]
(where m is the slope and b is the y-intercept)
Given:
line q: y = 3x + 5Therefore, the slope of line q is 3.
As line p is perpendicular to line q, the slope of line p is the negative reciprocal of the slope of line q.
Therefore, the slope of line p is -1/3
Equation of line p, using the point-slope form, the slope of -1/3 and the point (6, -5):
[tex]\begin{aligned}y-y_1 &=m(x-x_1)\\\implies y-(-5) &=-\dfrac{1}{3}(x-6)\\y+5 &=-\dfrac{1}{3}(x-6)\end{aligned}[/tex]
Simplify to slope-intercept form:
[tex]\implies y=-\dfrac{1}{3}x-3[/tex]
Slope of q:-
m=3Perpendicular line's have slopes negative reciprocal to each other
Slope of p
-1/3Passes through (6,-5)
Equation in point slope form
y+5=-1/3(x-6)3y+15=-x+63y=-x-9y=-1/3x-3Answer two questions about Equations A and B:
A. 5x2+x= x=4
B.
5x + x = x - 4-
1) How can we get Equation B from Equation A?
2) Are these equations equivalent?
Answer:
Equation B is the same as Equation A + 2
Step-by-step explanation:
To be able to get equation B from equation A, we have to compare equation A with equation B. Given that equation A. is 5x-2+x=x-4 and equation B is 5x+x=x-4.
Equation B: 5x+x=x-4.
Equation A: 5x-2+x=x-4.
Simplifying equation A to be in the form of equation B:
5x -2 + x = x - 4
Adding 2 to both sides:
5x + x -2 + 2 = x - 4 + 2
5x + x = x - 4 + (+2)
= equation A + 2
But 5x+x=x-4 = equation A
Therefore Equation B is the same as Equation A + 2
The Board of directories has 13 members. How many ways are there to elect a Chair and a Vice-Chair if the bylaw has a rotation rule: Chair and Vice-Chair cannot keep their positions for two years in a row
The number of ways to elect a Chair and a Vice Chair is 156.
Amount calculationGiven that the Board of directories has 13 members, to determine how many ways are there to elect a Chair and a Vice-Chair, the following calculation must be made:
13 x 12 = X156 = XAs the rule does not affect, because in the two years that have elapsed a different election will be held, the number of ways to elect a Chair and a Vice Chair is 156.
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Answer:The number of ways to elect a Chair and a Vice Chair is 156.
Step-by-step explanation:
Given x varies inversely as y and x = 4 when y=−9, find y when x = 6.
Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.
What is Proportional relationships?Proportional relationships are relationships between two variables where their ratios are equivalent.
Inverse variation It is expressed as;
x ∝ 1/r then x = k/y
Where k is the proportionality constant.
Given the data in the question;
x = 4y = -9First we find the proportionality constant.
x = k/y
4 = k / -9
k = -36
Now, If x = 6 then y = ?
x = k/y
6 = -36 / y
6y = -36
y = -36 / 6
y = -6
Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.
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Complete the statement using <, >, or =.
55% of 60 __ 60% of 65
Answer:
Less than(<)
55% of 60 is 33
60% of 65 is 39
when solving problems with percentage, always multiply x, your decimal form of the percentage, by y, the often whole number part you are multiplying the percentage by.
[tex]0.55 * 60 = 33\\0.60 * 65 = 39[/tex]
note that if the percentage is for example 30%, it will be 0.3, while if it were 3%, it would be 0.03 to avoid confusion.
That said, the answer is less than.
in a bowl, there are green candies for every 5 red candies. If the bowl has a total of 160 candies (red and green only), which proportion will solve for the number of green candies in the bowl?
Answer:
see below
Step-by-step explanation:
3 green for 5 red
then 3 out of (3+5) are green ... or 3/8 are green
3/8 * 160 = green = 60 green
Answer:
60 green candies
Step-by-step explanation:
We know the proportion :
Red : Green = 5 : 3Let's make a linear equation where candies is denoted by x.
5x + 3x = 1608x = 160x = 20Number of green
3x3(20)60 green candiesPlease Help! This is really urgent!!!! Please!!
The diagram shows a sector of a circle of radius 3 units, formed from an angle of size 125 degrees. Find the length of the arc rounded to two decimal places.
Arc length = _____
Answer:
6.54498
Step-by-step explanation:
The formula that you use to solve this is (0/360)pi*radius2. You have to plug in the information that you are already given.
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answer:
AB is chord
GF is tangent
DE is diameter
HJ is secant
C is center of the circle
DC is radius
K is point of tangency
AB is arc
Step-by-step explanation:
A committee of four is chosen at random from a group of 8 women and 5 men. Find the probability that the committee contains at least one man. Answer:
Find the equation of a line perpendicular to y = 4 + x that passes through the
point (-3, 3).
Answer:
y=-1/4x+9/4
Step-by-step explanation:
Get slope of the line first (to find slope that is perpendicular, get the negative reciprocal)
4 turns into -1/4
To get the y-intercept, plug in the given coordinate values into this formula:
y=mx+b
3=-3(-1/4)+b
3-3/4=b
b=9/4
b is our y-intercept
9/4 is our y-intercept
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = 4 + x\implies y = \stackrel{\stackrel{m}{\downarrow }}{1}x+4\qquad \impliedby \begin{array}{|c|ll}\cline{1-1}slope-intercept~form\\\cline{1-1}\\y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}}\\\\\cline{1-1}\end{array}[/tex]
so therefore
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{1\implies\cfrac{1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{1}\implies -1}}[/tex]
so we're really looking for the equation of a line whose slope is -1 and passes through (-3 , 3)
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-3=-(x+3)\implies y-3 = -x-3\implies y = -x[/tex]