9514 1404 393
Answer:
102
Step-by-step explanation:
87 more than 15 is ...
15 +87 = 102
Louie had 102 iPads before Cassandra tool some.
Can anyone please help me?? Please?
Look at the given table of values and write the ordered pairs that represent the inverse of the function.
Let
f
and
g
be defined by
f
:
x
→
3
x
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a
n
d
\(
g
:
x
→
2
−
5
x
. Find
f
o
g
(
2
)
Answer:
Solution
verified
Verified by Toppr
f,g:R→R is defined as
f(x)=x+1
g(x)=2x−3
Now, (f+g)(x)=f(x)+g(x)=(x+1)+(2x−3)=3x−2
∴(f+g)(x)=3x−2
Now, (f−g)(x)=f(x)−g(x)=(x+1)−(2x−3)=x+1−2x+3=−x+4
∴(f−g)(x)=−x+4
(
g
f
)(x)=
g(x)
f(x)
,g(x)
=0,x∈R
∴(
g
f
)(x)=
2x−3
x+1
,2x−3
=0 or 2x
=3
∴(
g
f
)(x)=
2x−3
x+1
,x
=
2
3
5
Enter the correct answer in the box.
What is the standard form of function ?
f(x) = 4(x + 6)2 + 5
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The standard form of the function is [tex]4x^2+48x + 149[/tex]
The standard form of an equationThe standard quadratic equation is expressed as:
[tex]y = ax^2 + bx + c[/tex]Given the vertex form of an equation expressed as [tex]g(x) = 4(x + 6)^2 + 5[/tex]
Expand the expression:
[tex]f(x) = 4(x + 6)^2 + 5\\f(x) = 4(x^2+12x + 36) + 5\\f(x) = 4x^2+48x + 149\\[/tex]
Hence the standard form of the function is [tex]4x^2+48x + 149[/tex]
Learn more on standard form here: https://brainly.com/question/19169731
Find the area of the triangle
= (1/2 × 6 × 4) square units
= (3 × 4) square units
= 12 square units
Answer:The area of the triangle is 12 square units.
Hope it helps.
Do comment if you have any query.
=================================================
Explanation/Solution:First, Identify what is the height and base of the triangle.
[tex] \rightarrow [/tex] Height = 4 units
[tex] \rightarrow [/tex] Base = 6 units
[tex] \\ [/tex]
Now to find the area of the triangle, use the formula:
[tex] \rightarrow [/tex] Area = [tex] \sf \frac{Height × Base }{2} [/tex]
Solve.
[tex] \rightarrow [/tex] = [tex] \sf \frac{4 × 6}{2} [/tex]
[tex] \rightarrow [/tex]= [tex] \sf \frac{24 }{2} [/tex]
[tex] \rightarrow [/tex] = 12
Therefore, the area of the triangle is 12 units.
=================================================
#CarryOnLearning
Suppose a principal amount of $7500 was invested at an interest rate of 6%. How long did it take to reach $10650?
Based on the information how long did it take to reach $10650 is 7years.
Given:
Principal=$7,500
Rate=6%
Amount=$10650
Time=?
Simple Interest(SI)=A-P
=$10650-$7500
=$3150
Time=(100×SI)/(p×r)
T=(100×3150)/(7500×6)
T=315,000/45,000
T=7 years
Inconclusion how long did it take to reach $10650 is 7years.
Learn more here:
https://brainly.com/question/15610358
The period it took the $7,500 investment to reach a future value of $10,650 at a compounding interest rate of 6% is 6 years.
What is the future value?The future value refers to the compounded value of present cash flows in the future, using an interest rate.
The future value can be determined using the future value table or formula.
We can also determine the future value using an online finance calculator, which also enables us to determine the period required to get a stated future value.
Data and Calculations:PV (Present Value) = $7,500
I/Y (Interest per year) = 6%
PMT (Periodic Payment) = $0
FV (Future Value) = $10,650
Results:
N (# of periods) = 6 years
Total Interest = $3,142.17
Thus, the period it took the $7,500 investment to reach a future value of $10,650 at a compounding interest rate of 6% is 6 years.
Learn more about future values and periods at https://brainly.com/question/12890404 and https://brainly.com/question/20392017
Sally I went to the store and when is it by potato she noticed a sign that said six potatoes cost nine dollars
Answer:
Sally shouldn't be alone she has down syndrome.
Step-by-step explanation:
The expression on the left side of an equation is shown below. -6x+6=0 If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation? 06 0 1 O 6x 6x6l
Answer:
I think 0
Step-by-step explanation:
Guys I really need some help with this one!
If anybody could help me out here I would be incredibly grateful! (Simple algebra problem involving functions)
Answer:
f( 1 ) = 3
Step-by-step explanation:
Given the linear function, f(x) = -4x + 7, we could easily find f( 1 ) by substituting the value of the input, x = 1, into the function.
f(x) = -4x + 7
f( 1 ) = -4( 1 ) + 7
f( 1 ) = -4 + 7
f( 1 ) = 3
Therefore, the output value is f( 1 ) = 3.
Simplify the expression 4(x-5) / 2
a. 8x - 40
b. 2x -
C. 5x - 20
d. 2x - 10
HELP PLZZZZZZ
Answer:8x-40
Step-by-step explanation:
Because when we simply 4(x-5)/2
We multiply both sides by 2 because the inverse operations of division is multiplication. 2*4(x-5)*2/2 we cancel two by two then it leave us 4*2(x-5).
Next four times two is eight. So 8(x-5) we distribe eight that means eight times x and 5, 8x-40thos is the answer. Hope this help
what is the solution set for this inequality?
-6x + 30 < -18
□ x > -2
□ x < 8
□ x > 8
□ x < -2
pls answer
Answer:
x > 8Step-by-step explanation:
= > -6x + 30 < - 18
= > 30 + 18 < 6x
= > 48 < 6x
= > x > 48/6
= > x > 8...ans
Hope it Helps you!!Which value of x is a solution of the inequality?
3x−3≥9
Answer:
It's probably X since X doesn't have a written number for it it equals 1.
Step-by-step explanation:
An elevator travels 310 feet in 10 seconds.
1. At that speed, how far can this elevator travel in 12 seconds?
Answer:
372
Step-by-step explanation:
1 sec=31 feet
10 sec=310 feet
12 sec=372 feet
Subtract from (4x- 5y+3z) from the sum of (9x+2y-3z), (-10x+ y- z) and (2x+ 3y+ 7z).
Explain
Step-by-step explanation:
★First let's find out the sum.
(9x + 2y - 3z) + (-10x + y - z) + (2x + 3y + 7z)
= (9x - 10x + 2x) + (2y + y + 3y) + (-3z - z + 7z)
= (x) + (6y) + (3z)
= x + 6y + 3z
★Now subtraction:
(x + 6y + 3z) - (4x - 5y + 3z)
= (x + 6y + 3z - 4x + 5y - 3z)
= (x - 4x + 6y + 5y + 3z - 3z)
= -3x + 11y★∴Answer is -3x + 11y
______________________A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 14 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to two decimal places.)
Answer:
Step-by-step explanation:
V = 4πR³/3 + πR²h
h = (V - 4πR³/3) / πR²
A = 4πR² + 2πRh
A = 4πR² + 2πR((V - 4πR³/3) / πR²)
A = 4πR² + 2((V - 4πR³/3) / R)
A = 4πR² + 2V/ R - (8πR³/3) / R
A = 4πR² + 2(14)/ R - 8πR²/3
A = (4π - 8π/3)R² + 28/R
A = (4π/3)R² + 28/R
dA/dR = (8π/3)R - 28/R²
0 = (8π/3)R - 28/R²
28/R² = (8π/3)R
R³ = 28(3 / 8π)
R = 1.49513...
R = 1.50 cm
which makes the cylinder height 0.00 cm. The figure is a sphere.
Solve the right triangle. a = 2.2 m, B = 37.7°, C = 90° 4) A) A = 52.3°, b = 0.6 m, c = 2.3 m B) A = 52.3°, b = 1.7 m, c = 2.8 m C) A = 52.3°, b = 3.2 m, c = 3.9 m D) A = 52.3°, b = 3.2 m, c = 2.8 m
Answer:
B) A = 52.3°, b = 1.7 m, c = 2.8 m
Step-by-step explanation:
We know that it is a right angle triangle because C = 90°
because of that we can do 180 - 90 + 37.7
which is a=52.3
Because it is a right angle triangle, we can use sin, cos,tan
I will use sin to find the side of c
2.2 is a
sin 52.3 = 2.2/x
x= 2.2/ sin 52.3
x=2.78
You could do cos or tan but the pythagorean theorem for me is much faster
so it looks like this, a^2+b^2 =c^2
in this case we have both a and c we want b
so we rearrange
c^2-a^2=b^2
2.78^2-2.2^2= b^2
[tex]\sqrt{2.89}[/tex]=b
1.7=b
therefore it would be this option B) A = 52.3°, b = 1.7 m, c = 2.8 m
What are 5 rules to follow in a science lab?
Answer:
Step-by-step explanation:
1. Wear safety glasses
2. Be accompanied by an adult
3. Wear proper lab clothing
4. Alert Lab instructor if an accident were to happen
5. Follow all instructions given by lab instructor
need help now please i will give 25 points
Answer:
Answer is letter B
if im wrong i'm sorry that my opinion
Answer:
B) y = -x + 2
Step-by-step explanation:
First, we pick 2 points that are on the line:
(0, 2) and (1, 1)
Next, we find the slope (m):
m = (y2 - y1)/(x2 - x1)
m = (1 - 2)/(1 - 0)
m = (-1)/1
m = -1
Then, we do point-slope formula to create the equation:
y - y1 = m(x - x1)
y - 2 = -1(x - 0)
y - 2 = -x
y = -x + 2
WARM UP ACTIVITY (5 MIN) Ms. Chantel's car can go 228 miles on 6 gallons of gas. During a drive last week Ms. Chantel used 7 gallons of gas. a.) How far did she drive? b).Explain how the problem changes if you were given the distance Ms. Chantel drove last week instead of how much gas she used.
How does the problem change????
Answer:
a. 266
b. if you were given the distance you can just do, the distance divided by 38
Step-by-step explanation:
A. 228/6=38
228+38=266
I went to many other places, I saw their answers and turns out the only answer I searched up was wrong!
Answer:
I understand how that feels
Step-by-step explanation:
If f(x) and f^-1(x) are inverse functions of each other and f(x)=2x+5, what is f^-1(4)?
Answer:
4.5
Step-by-step explanation:
We are here given that ,
=> f(x) = 2x - 5
=> y = 2x - 5
Replace x and y with each other .
=> x = 2y - 5
solve for y ,
=> 2y = x +5
=> y = (x+5)/2
=> f-¹(x) = (x+5)/2
Now ,
=> f-¹(4) = 4+5/2 = 9/2 = 4.5
help me due today might need more help in a minute but yk help me which one is it A B C D or E
Answer:
Option B is correct.
Step-by-step explanation:
c - 2.5 = 0
=> c = 0 + 2.5
=> c = 2.5
Therefore, c = 2.5 is our answer.
Hoped this helped.
Answer:
B-2.5
Step-by-step explanation: add 2.5 to both sides of the equation to get c=2.5
how to find the volume of an oven with the inside dimensions 3 ft by 1.5 ft by 3 ft
9514 1404 393
Answer:
13.5 ft³
Step-by-step explanation:
The volume of a cuboid is the product of its length, width, and height:
V = (3 ft)(1.5 ft)(3 ft) = 13.5 ft³
The volume of the oven is 13.5 ft³.
__
You may see this as the formula ...
V = LWH
7. Eddicycle Cycle Shop sells the Ultra Extreme X mountain bike for $179.98. Kammie Cycles sells the same
bicycle for $280.20. Today, Kammie Cycles decides to offer a 19% discount on the mountain bike. Which
store offers the better deal?
A Kammie Cycles
B Eddicycle Cycle Shop
Luisa sella otuff
Answer:
edficycle cycle shop luisa sella otuff
A store pays $85 for a picnic table and marks the price up by 25%. What is the new price
The hourly median power (in decibels) of received radio signals transmitted between two cities
follows a lognormal distribution with parameter values u = 3.5 and o2 = 1.22.
(5 points) What is the 90th percentile of this distribution?
(5 points) What is the probability that received power for one of these radio signals is
less than 150 decibels?
(5 point) Consider a random sample of 10 radio signals. What is the probability that for
6 of these signals, the received power is less than 150 decibels?
Using the lognormal and the binomial distributions, it is found that:
The 90th percentile of this distribution is of 136 dB.There is a 0.9147 = 91.47% probability that received power for one of these radio signals is less than 150 decibels.There is a 0.0065 = 0.65% probability that for 6 of these signals, the received power is less than 150 decibels.In a lognormal 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{\ln{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.In this problem:
The mean is of [tex]\mu = 3.5[/tex].The standard deviation is of [tex]\sigma = \sqrt{1.22}[/tex]Question 1:
The 90th percentile is X when Z has a p-value of 0.9, hence X when Z = 1.28.
[tex]Z = \frac{\ln{X} - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{\ln{X} - 3.5}{\sqrt{1.22}}[/tex]
[tex]\ln{X} - 3.5 = 1.28\sqrt{1.22}[/tex]
[tex]\ln{X} = 1.28\sqrt{1.22} + 3.5[/tex]
[tex]e^{\ln{X}} = e^{1.28\sqrt{1.22} + 3.5}[/tex]
[tex]X = 136[/tex]
The 90th percentile of this distribution is of 136 dB.
Question 2:
The probability is the p-value of Z when X = 150, hence:
[tex]Z = \frac{\ln{X} - \mu}{\sigma}[/tex]
[tex]Z = \frac{\ln{150} - 3.5}{\sqrt{1.22}}[/tex]
[tex]Z = 1.37[/tex]
[tex]Z = 1.37[/tex] has a p-value of 0.9147.
There is a 0.9147 = 91.47% probability that received power for one of these radio signals is less than 150 decibels.
Question 3:
10 signals, hence, the binomial distribution is used.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.For this problem, we have that [tex]p = 0.9147, n = 10[/tex], and we want to find P(X = 6), then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{10,6}.(0.9147)^{6}.(0.0853)^{4} = 0.0065[/tex]
There is a 0.0065 = 0.65% probability that for 6 of these signals, the received power is less than 150 decibels.
You can learn more about the binomial distribution at https://brainly.com/question/24863377
6=2(y+2) what is the value of y in the equation
Answer: the value of y is 1
Step-by-step explanation: 6=2 x 1+2
please answer fully/////////////
Answer:
Step-by-step explanation:
Tear this apart piece by piece
15 - 8 = 7
7 * 3 = 21
11 + 21 = 32
Now so far this much is correct. The problem is the next sign. Is it add or is it divide. The only way to resolve it is to do it both ways.
Add 4
32 + 4 = 36
Divide 4
32 / 4 = 8 1/4 = 8
Answer:
8Step-by-step explanation:
Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
[tex]\ [11+(15-8)\cdot3]:4=(11+7\cdot3):4=(11+21):4=32:4=8[/tex]
Solve the compound inequality.
3x + 1 <4 or 9x > 31
Answer:
Step-by-step explanation:
3x < 4 - 1 or x > 31/9
3x < 3 or x > 31/9
x < 1 or x > 31/9
A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sample size of 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision. True or False: If the level of significance had been chosen as 0.05, the company would market the new anesthetic.
Testing the hypothesis using the z-distribution, it is found that the statement is False.
At the null hypothesis, we test if the mean is still of 7.4 minutes, that is:
[tex]H_0: \mu = 7.4[/tex]
At the alternative hypothesis, we test if the mean is of less than 7.4 minutes, that is:
[tex]H_1: \mu < 7.4[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are as follows: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]
[tex]z = -1.5[/tex]
The p-value of the test is the probability of finding a sample mean of 7.1 or lower, which is the p-value of z = -1.5.
Looking at the z-table, z = -1.5 has a p-value of 0.0668.
Since the p-value of the test is 0.0668 > 0.05, there is not enough evidence to conclude that the time is lower, hence the statement is False.
A similar problem is given at https://brainly.com/question/16695704
1. At her new job Mary earns $100 more than twice the salary she earned as a college intern.
If she now earns $2100, how much did she earn as an intern?
Answer:
$1000
Step-by-step explanation:
Inverse operation
2100-100=2000
2000/2=1000
Sorry if its wrong but hope this helpssss
