Answer:
The slope is -2, or -2/1.
Step-by-step explanation:
[tex]m = \frac{15 - 5}{ - 3 - 2} = \frac{10}{ - 5} = - 2 = - \frac{2}{1} [/tex]
Solve: −(2/3a−1/3)+53a=−4
Answer:
a=-13/157open the brackets:_2/3a+1/3+53a =_4. 53a_2/3a=_4_1/3. 157/3a=_13/3 which is;a=_13/157
How are the mean and median affected when the value 5 is included in the data set belo
6, 9, 4, 3, 9, 3
Answer:
The mean increases and the median changes to 4.
Step-by-step explanation:
To find the mean. You need to add all of the numbers together then divide by how many numbers there are. The median is found by the middle number.
Answer:
5.5 Mean
5 Median
Step-by-step explanation:
6+9+4+3+9+3+5 =5.5
7
A spinner is divided into 6 equal sectors labeled with the letters A through F The spinner is spun 30 times. How many times is it expected that a vowel will be spun? approximately 5 times approximately 6 times approximately 10 times approximately 15 times
Answer:
approximately 10 times
Step-by-step explanation:
I hope this helps!
It is expected that a vowel will be spun approximately 10 times.
How to elaborate the problem ?
Spinner is divided into 6 equal sectors labeled with the alphabets A to F
We know that, the vowels in english are A, E, I, O, U.
In between A and , there are 2 vowels, A and E.
Probabilty of getting vowel in 1 spin = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex] = 0.33
How to find the required result ?The spinner is spun 30 times.
It is expected that a vowel will be spun = 0.33 × 30 times
= 9.9 times = 10 times (approx)
Learn more about Spinner problem here :
https://brainly.com/question/27494042
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help please i will give brainlys
Answer: 190 m³
Step-by-step explanation:
We will calculate the volume of the prisms separately, and then add them together.
V = L * W * H
[1]
V = L * W * H
V = 9 * 2 * 5
V = 90 m³
[2]
V = L * W * H
V = 5 * 5 * 4
V = 100 m³
[Adding together]
100 + 90 = 190 m³
The volume is 190 m³
Question 1 of 15 What is the solution to this equation? X-9 = 5 A. x = -4 OB. X= 14 OC. x = 4 O D. x = -14
Answer:
B. x = 14
Step-by-step explanation:
1. Add 9 to both sides of the equation
x - 9+9 = 5+9
x = 14
hope this helps :)
a student takes out an emergency loan for tuition, books, and supplies. The loan is for $900 with an interest rate of 8%. How much is does the season pay if the loan is paid back in 60 days?
NO LINKS.
$912
simple interest = Principal * Rate * Time (in years)Here given:
principal: $900rate: 8%time: 60 days = 60/360 = 1/6 years [ 1 years = 360 days ]So, simple interest:
900 * 8% * 1/6900 * 8/100 * 1/6$12Pays back: $900 + $12 = $912 back.
Answer:
$911.84
Step-by-step explanation:
Formula
[tex]\sf A=P\left(1+\dfrac{rt}{n}\right)[/tex]
where:
A = amountP = principalr = interest rate (decimal form)t = termn = number of units of term per yearGiven:
P = $900r = 8% = 0.08t = 60n = 365[tex]\implies \sf A=900\left(1+\dfrac{0.08 \times 60}{365}\right)[/tex]
[tex]\implies \sf A= \$911.84\: \textsf{(nearest cent)}[/tex]
$2000 should be invested into checking with interest rate 3% and savings account with interest rate 5% so that the total interest will be $84. How much should be invested into each account?
Answer:
$800 at 3%, $1,200 at 5%
Step-by-step explanation:
[tex].03x - .05(2000 - x) = 84[/tex]
[tex]100 - .02x = 84[/tex]
[tex].02x = 16[/tex]
[tex]x = 800[/tex]
[tex]2000 - x = 1200[/tex]
Consider the following information:
Rate of Return If State Occurs
State of Probability of
Economy State of Economy Stock A Stock B
Recession .18 .07 − .18
Normal .55 .10 .11
Boom .27 .15 .28
a.
Calculate the expected return for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
b. Calculate the standard deviation for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
a.stock A expected return ____%
stock B expected return ____%
b.stock A standard deviation ____%
stock B standard deviation ____%
B because your not rounding and in this case you need to intermediate the calculations
Here are the heights (in inches) of 8 students in a seminar.
63, 69, 60, 66, 70, 59, 64, 67
What is the percentage of these students who are shorter than 65 inches'
Answer:
50%
Step-by-step explanation:
there are 8 students and 4 are shorter than 65 inches.
So 4 divided by 8 = 0.5 or 50%
Nancy wants to buy a sweater that is priced at $75. If the store is running a 60% off sale, what will be the
amount of the discount and the sale price of the sweater?
Answer:
$30.00
Step-by-step explanation:
The original price of the sweater is $75.00. The new sale price is the original price of 100% less 60% of the original price. That means the sales price is 40% of the original price.
You can do this 2 ways:
1. $75 x 60% or .60 = $45
$75-45 = $30
or
2. $75 x 40% or .40 = $30
What is the answrs for number 9, with proof
Answer:
1. 30
2. 34
Step-by-step explanation:
2(4(3) + 3)
2(12 + 3)
2(15)
= 30
12(3) - 2
36 - 2
= 34
hope this helps :)
what is 1/4 + 2/3 with the common denominator of 12
Answer:
11/12
Step-by-step explanation:
8/12 + 3/12 = 11/12
Answer:
11/12 is the answer
1/4 + 2/3 = 11/12
solve the system by elimination 4x-y=2 and x+3y=7
Answer:
x=1 y=2
Step-by-step explanation:
Isolate x for 4x -y=2: X=2+y/4
Substitute x= 2+y/4
(2+y/4 )+3y=7
simplify 2+13y/4=7
Isolate y for 2+13y/4=7
y=2
Forx= 2+y/4
Substitute y = 2
x= 2+2/4
Simplify
X=1
the function f(x)=-x is shown on the graph whixh statement is correct
the range of the graph is all real numbers less than or equal to zero
the domain of the graph is all real numbers less than or equal to zero
the domain and range of the graph are the same
the range of the graph is all real numbers
Answer:
the range of the graph is all real numbers less than or equal to zero
Step-by-step explanation:
Which of the graph below shows how Mary’s money will grow in each bank ?
( please help me )
And no links aloud ….
What is the value of 7-1* 0+3/3
Answer:
six!!! OBVIOUSLY BECUASE everything is made of dogs.
Step-by-step explanation:
lol sorry caps but it was kinda obvious ngl
find the value of this expression if x=7 x2 +6/x-2
14 to the -3 power times 14 to the 12 power using a single, positive component
Answer:
14⁹Step-by-step explanation:
14⁻³ · 14¹² = 14⁻³ ⁺ ¹² = 14⁹
Used:
[tex]a^n\cdot a^m=a^{n+m}[/tex]
1. determine if the functions are inverse functions
f(x) = x+6
g(x) = x-6
2. determine if the functions are inverse functions
f(x) = -3x-9
g(x) = -1/3x-3
Answer:
Question 1
The function [tex]f(x) = x + 6[/tex] is one-to-one, so it does have an inverse.
The inverse of +6 is -6, so [tex]f^{-1}(x)=x-6[/tex]
Therefore, g(x) is the inverse of f(x).
Question 2
The function [tex]f(x) = -3x -9[/tex] is one-to-one, so it does have an inverse.
To find the inverse, replace f(x) with y:
[tex]\implies y = -3x -9[/tex]
Rearrange the equation to make x the subject:
[tex]\implies y+9= -3x[/tex]
[tex]\implies x=-\dfrac13(y+9)[/tex]
[tex]\implies x=-\dfrac13y-3[/tex]
Replace x with [tex]f^{-1}(x)[/tex] and y with x:
[tex]\implies f^{-1}(x)=-\dfrac13x-3[/tex]
Therefore, g(x) is the inverse of f(x).
Am I starting this off right? What does it mean to find instantaneous velocity?
Answer:
yesv(t) gives the instantaneous velocity at time t(a) correct
(b) -48 ft/s
(c) -32 ft/s; -64 ft/s
(d) 9.257 s
(e) -296.216 ft/s
Step-by-step explanation:
You are given an equation of motion and asked to find velocity and time at different points in the motion. This requires you differentiate the position function to find velocity, and that you solve the position function to find the time at a particular position.
__
(a)The coin is "dropped", so is presumed to have no initial velocity. The initial height is given as 1371 feet. Putting these values into the given equation, you have ...
s(t) = -16t² +1371
The velocity is the derivative of this function:
v(t) = -32t
__
(b)The average velocity on an interval is the change in position divided by the change in time:
(s(2) -s(1))/(2 -1) = ((-16·2² +1371) -(-16·1² +1371))/1 = -16(4 -1) = -48 . . . ft/s
(Note: the average velocity for a quadratic position function is the velocity at the midpoint of the interval: v(1.5) = -32(1.5) = -48 . . . ft/s.)
__
(c)Use the velocity function you found in part (a) to determine the instantaneous velocity at the given times:
v(1) = -32(1) = -32 . . . ft/s
v(2) = -32(2) = -64 . . . ft/s
__
(d)The coin will reach the ground when s(t) = 0. Solving for t, we find ...
s(t) = 0
-16t² +1371 = 0
1371 = 16t²
t = √(1371/16) = (√1371)/4 ≈ 9.257 . . . . seconds
__
(e)The velocity at impact will be ...
v(√1371/4) = -32(√1371/4) = -8√1371 ≈ -296.216 . . . ft/s
At a company a copy machine prints 175 pages in 5 minutes if the number of pages printed is proportional to the time in minutes what is the unit rate?
If the copy machine prints 175 pages in 5 minutes and the number of pages printed is proportional to the time in minutes , the unit rate is 35 pages per minute.
What is division?Division is the process of determining the quotient of a number. It is the process of grouping a number into equal parts using another number.
What is the unit rate?The unit rate can be determined by dividing 175 by 5
Unit rate = 175/5 = 35 pages per minute.
To learn more about division, please check: https://brainly.com/question/13281206
Answer use div it. Is 35
Step-by-step explanation:
Leave your answers in surd form. Tables or calculators are not allowed in this exercise. Find the lengths of the sides marked with letters in each of the following diagrams. All dimensions are in cm.
This is a special triangle.
the two bases are always equal, so a is also 12. To get to the hypotenuse, you must multiply either side by rad2.
a= 12
b= 12rad2
comment if you have any more questions
Oliver's total monthly budget is shown in the circle graph below
Oliver's monthly budget is 2500 how much money does he save each month
a compound inequality may have the inequality symbols going in opposite directions
TRUE OR FALSE?
Answer:
False
Step-by-step explanation:
There's no such thing like that
Paul is decorating cupcakes. He can decorate 3/4 of a cupcake per minute. At this rate, how many cupcakes can he decorate in 12 minutes?
Answer:
3/4 x 12/1 because if you can decorate 3/4 a cupcake per minute, you multiply 3/4 by 12 to find the total amount of cupcakes he could decorate. 3/4 x 12/1 = 9 Paul can decorate 9 cupcakes in 12 minutes.
Step-by-step explanation:
hope tis helps im not good at match but i know this
Answer:
he can decorate 9 cupcakes in 12 mn
Step-by-step explanation:
He can decorate 3/4 of a cupcake in 1 minute
Then
He can decorate 12×(3/4) cupcakes in 12 minutes
Or
[tex]12\times\frac{3}{4} =\frac{36}{4} =9[/tex]
then he can decorate 9 cupcakes in 12mn
Which statement is true? Question 16 options: A) |–3| = 3 and |–4| = –4 B) |–3| = 3 and –|4| = 4 C) –|3| = 3 and |4| = 4 D) |–3| = 3 and –|–4| = –4
Jane rode a bike at a rate of 15 miles per hour. What was her speed in feet per second?
17ft/sec
22ft/sec
10.2ft/sec
1320ft/sec
Answer:
22ft/sec
Step-by-step explanation:
proportional rel.
Answer:
her speed was 22ft per second
how do I find measure of center on a right skewed distribution?
HELPP! ASAP PLS!! Find the surface area of the composite solid. Leave your answer in exact terms.
Answer:
Step-by-step explanation:
First find the surface area of the clyinder and find the area circles and subtract
Then find the surface area of a cone, remove the circle area and double it.
Clyinder surface area (without circle area) 2πrh+2πr2=2·π·4·6+2·π·42≈251.32741
251.32741 - 50.2 - 50.2
Cone area: A=πr(r+h2+r2)=π·4·(4+32+42)≈113.09734
113.09734 - 50.2 - 50.2
Total: 12.69734 + 150.92741 = 163.62475
Prove or disprove that the point lies on the circle centered at the origin
Answer:
Step-by-step explanation: