Answer:
16
Step-by-step explanation:
a = 5
b = 3
a - b = 2
▪︎5 - 3 = 2
ab = 15
▪︎5(3) = 15
a^2 - b^2 = ?
5^2 = 25
3^2 = 9
25 - 9 = 16.
a^2 - b^2 = 16.
I am having a lot of difficulty in solving this question, so please help me..
Answer:
216
Step-by-step explanation:
=>log 36 = -2/3
m
=>36=(m)^-2/3
=>(root(-36))^3=m
=>m=(root(36))^3
=>m=6^3
=>m=216
Using the information in the Box-and-Whisker plot below, what is the minimum value?
A. 5
B. 12.5
C. 20
D. 27.5
Answer:
espero ayudarte ..............❤❤
Answer:
b
Step-by-step explanation:
Find(g-f)(x)
f(x)=1/x
g(x)=x^2+2x-5
a. 1/x-x^2-2x+5
b.1/x+x^2+2x-5
c.x^2+2x-5-1/x
d.1/x+x^2-5
Answer:
x^2+2x-5 - 1/x
Step-by-step explanation:
f(x)=1/x
g(x)=x^2+2x-5
(g-f)(x) = x^2+2x-5 - 1/x
Answer:
c. x² + 2x - 5 - 1 / x
Step-by-step explanation:
f ( x) = 1 / x.
g ( x) = x² + 2x - 5
so,
( g - f) ( x) = x² + 2x - 5 - 1 / x
The height of a triangle is 4 feet more than 3 times the base. If the area is 112 ft find the base and height of the triangle
Answer:
[tex]base = 8 ft\\height =28 ft\\[/tex]
Step-by-step explanation:
let base be x ft. then the height is 3x+4
[tex]Area=\frac{1}{2} \times x \times (3x+4)=112\\3x^{2} +4x=224\\3x^{2} +4x-224=0\\x=8, x=-9.33 (no sol. as length can not be negative)\\ x=8\\base = 8 ft\\height =3(8)+4=28 ft\\[/tex]
Answer:
base = 8 , height = 28
Step-by-step explanation:
Let base be = b
Given:
height is 3times base = 3b
Also 4 feet more than 3 times base = 3b + 4
Area = 112 square feet
[tex]area = \frac{1}{2} \times base \times height\\\\112 = \frac{1}{2} \times b \times (3b+ 4)\\\\224 = b(3b+4)\\\\224 = 3b^2 + 4b\\\\3b^2 + 4b - 224 = 0\\\\[/tex]
The quadratic equation with a = 3 , x = 4 , c = -224
Therefore ,
[tex]b = \frac{-x \pm \sqrt{x^2 - 4ac}}{2a}\\\\[/tex]
[tex]b= \frac{-4 \pm \sqrt{4^2 - (4 \times 3 \imes -224)}}{2 \times 3}\\\\b= \frac{-4 \pm \sqrt{16 + 2688}}{6}\\\\b= \frac{-4 \pm \sqrt{2704}}{6}\\\\b= \frac{-4 \pm52 }{6}\\\\b = \frac{-4 + 52}{6} , \ b = \frac{-4 -52}{6}\\\\b = \frac{48}{6} , \ b = -\frac{56}{6}[/tex]
Since base can't be negative base = 8 ft
Therefore , height = 3b + 4 = 3(8) + 4 = 24 + 4 = 28
What is the solution to the equation 3 + 4/4y = 4?
Answer:
B. y= ¼
Step-by-step explanation:
3 + ^4√4y = 4
^4√4y =4-3
^4√4y = 1
^4√4y =^4√1
so, 4y = 1
y = ¼
PLEASE NO LINKS I CAN'T SEE THEM
Which equation represents the solution of the equation 7x + 12 = 6?
A. x = 18 / 7
B. x = 6/7
C. x = - 6/7
D. x = - 18/7
Answer:
c
Step-by-step explanation:
because I have a great day and I will be in the representation
Step-by-step explanation:
7x + 12 = 6
7x=-6
x=-6/7
Don't enter into link, it contains viruses
Presto Corp. had total variable costs of $180,000, total fixed costs of $110,000, and total revenues of $300,000. Compute the required sales in dollars to break even.
Answer:
$230,000
Step-by-step explanation:
Contribution margin = Sales - Variable costs
=($250,000 - $137,500)
= $112,500
Contribution margin ratio = Contribution margin ÷ Sales
= ($112,500 ÷ $250,000)
= 0.45
Basically
Break-even sales = Fixed expenses ÷ Contribution margin ratio
=($103,500 ÷ 0.45)
= $230,000
The required sales in dollars to break even is $275,000.
Given that, total variable costs of $180,000, total fixed costs of $110,000, and total revenues of $300,000.
What is a total revenue?Total revenue is the total amount of money a company brings in from selling its goods and services. It determines how well a company is bringing in money from its core operations based on demand and price.
The contribution margin ratio = Contribution margin/Sales revenue
= (300,000 - 180,000 = 120,000)/300,000
= 40%
Break-even point in dollars = Fixed cost/Contribution margin ratio
= 110,000/0.40
= $275,000
Therefore, the required sales in dollars to break even is $275,000.
Learn more about the total revenue here:
https://brainly.com/question/29567732.
#SPJ2
A large population has skewed data with a mean of 70 and a standard deviation of 6. Samples of size 100 are taken, and the distribution of the means of these samples is analyzed. a) Will the distribution of the means be closer to a normal distribution than the distribution of the population?
b) Will the mean of the means of the samples remain close to 70?
c) Will the distribution of the means have a smaller standard deviation?
d) What is that standard deviation?
a. Yes.
b. Yes.
c. Yes.
d. 0.6.
Answer:
a) Yes
b) Yes
c) Yes
d) 0.6
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes 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 deviation [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.
A large population has skewed data with a mean of 70 and a standard deviation of 6.
This means that [tex]\mu = 70, \sigma = 6[/tex]
Samples of size 100
This means that [tex]n = 100[/tex]
a) Will the distribution of the means be closer to a normal distribution than the distribution of the population?
According to the Central Limit Theorem, yes.
b) Will the mean of the means of the samples remain close to 70?
According to the Central Limit Theorem, yes.
c) Will the distribution of the means have a smaller standard deviation?
According to the Central Limit Theorem, the standard deviation of the population is divided by the sample size, so yes.
d) What is that standard deviation?
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{100}} = \frac{6}{10} = 0.6[/tex]
So 0.6.
Find the missing angle x. Show your work.
During the worst periods of hyperinflation in a certain country, the price of the food increased at a rate of 20% per month. State whether this increase was linear or exponential. If your food bill was $130 in one month during this period, what was it three months later?
Answer:
After three months the value of the food bill will be $ 224.64.
Step-by-step explanation:
Given that during the worst periods of hyperinflation in a certain country, the price of the food increased at a rate of 20% per month, for state whether this increase was linear or exponential, and determine, if your food bill was $ 130 in one month during this period, what was it three months later, the following calculations must be performed:
A hyperinflation raises prices exponentially (the percentage is calculated based on the increase of the previous month). Thus, to calculate the price of the food bill, the following calculation must be performed:
130 x 1.20 ^ 3 = X
130 x 1.728 = X
224.64 = X
Therefore, after three months the value of the food bill will be $ 224.64.
Find the radius of a circle in which the central angle, a, intercepts an arc of the given length s.
a = 60°, s = 44 ft
The radius is ft.
(Round to the nearest hundredth as needed.)
Answer:
42.02 ft
Step-by-step explanation:
60 : 360 = 44 : x
x = 264 ft (length of the circumference)
C = 2 * radius * pi
radius = C / 2 * pi
Radius = 264 / 2 * pi = 42,016905 ft
If an average-sized man with a parachute jumps from an airplane, he will fall
12.5(0.2t − 1) + 21t feet
in t seconds. How long will it take him to fall 150 feet? (Round your answer to two decimal places.)
Answer:
It will take him 5.85 seconds.
Step-by-step explanation:
12.5 (0.2t - 1) + 21t = 150
Use Distributive Property:
2.5t - 12.5 + 21t = 150
Combine like terms:
23.5t - 12.5 = 150
Subtract 12.5 from both sides:
23.5t = 137.5
Divide both sides by 23.5 to isolate variable t:
5.851063.....
Round to two decimal places (hundredths place):
5.85
A mother has 6 sons
Each has a sister
How many people are in the family?
A:13.
B)8.
D)7.
C:14.
A. 13
Explanation= 6 (sons) +6 (daughters) +1 (mother) = 13.
(notes: as a father is not within the problem, there is no reason to be in the answer)
Answer:
B)8
A mother has 6 sons. If there is only one sister, than each son has a sister. Don't forget to add the mother. 6 + 1 + 1
Step-by-step explanation:
> Next question Get a similar question You this question below Find the distance between the points (-3,-3) and (-5,-1) Distance vo Х Submit Question
Answer:
The answer is the square root of 8, or 2root2.
Step-by-step explanation:
Use the distance formula.
d = sqrt((-3-(-5))^2 + (-3-(-1)))
d = sqrt(2^2 + 2^2)
d = sqrt(4 + 4)
d = sqrt8
d = sqrt4 * sqrt2
d = 2 * sqrt2
Multiply 2x(5x+8y+3)
Answer:
10x² + 16xy + 6x
Step-by-step explanation:
2x(5x+8y+3)
10x² + 16xy + 6x
Answer:
[tex]10x^{2} + 16xy + 6x[/tex]
Hope this helped!
A road has a scale of 1:50 000 The length of a road on the map is 8.5cm.Work out the length of the real road in kilometres
The answer is 2.1 Km. Hope this helps!
Rafael ate one-fourth of a pizza and Rocco ate one-third of it. What fraction of the pizza did they eat?
They ate
Answer:
7/12
Step-by-step explanation:
They ate 1/4 and 1/3
1/4 +1/3
Get a common denominator
1/4 *3/3 + 1/3 *4/4
3/12 + 4/12
7/12
8. Expand (2a – 3b + 4c)2
Helllpppp plz
Nowww it’s imp
Step-by-step explanation:
(2a–3b+4c)²=
4a²+9b²+16c²-12ab-24bc+8ac
I need help please no links or I will have you reported
Answer:ʜᴛᴛᴘꜱ://ᴡᴡᴡ.ʏᴏᴜᴛᴜʙᴇ.ᴄᴏᴍ/ᴡᴀᴛᴄʜ?ᴠ=ᴅQᴡ4ᴡ9ᴡɢxᴄQ
Step-by-step explanation:
Heres the answer but its on a another page.
Im joking
here's the answer
the first one is 878 i think that what your looking for at the top
What is the surface area of a rectangular prism with length 12 mm, width 3mm and height 5 mm
Answer:
The surface area of the rectangular prism is of 22 square millimeters.
Step-by-step explanation:
Surface area of rectangular prism:
The surface area of a rectangular prism with length l, width w and height h is given by:
[tex]S = 2(lw + lh + wh)[/tex]
Length 12 mm, width 3mm and height 5 mm
This means that [tex]l = 12, w = 3, h = 5[/tex]
Surface area:
[tex]S = 2(lw + lh + wh) = 2(12(3) + 12(5) + 3(5)) = 2(36 + 60 + 15) = 2(111) = 222[/tex]
The surface area of the rectangular prism is of 22 square millimeters.
Customers at Costco spend an average of $130 per trip (The Wall Street Journal, October 6, 2010). One of Costco's rivals would like to determine whether its customers spend more per trip. A survey of the receipts of 25 customers found that the sample mean was $135.25. Assume that the population standard deviation is $10.50 and that spending follows a normal distribution.A. Specify the appropriate null and alternative hypotheses to test whether average spending at the rival's store is more than $130.B. Calculate the value of the test statistic.C. Calculate the p-value. D. Calculate the critical value
Answer:
A. The null hypothesis is [tex]H_0: \mu = 130[/tex].
The alternative hypothesis is [tex]H_a: \mu > 130[/tex]
B. The value of the test statistic is [tex]t = 1[/tex]
C. The p-value is of 0.1636.
D. The critical value is [tex]t_c = 1.711[/tex]
Step-by-step explanation:
Question a:
Customers at Costco spend an average of $130 per trip (The Wall Street Journal, October 6, 2010). One of Costco's rivals would like to determine whether its customers spend more per trip.
At the null hypothesis, we test if the mean is the same as Costco's, that is:
[tex]H_0: \mu = 130[/tex]
At the alternative hypothesis, we test if the mean is more than 130, that is:
[tex]H_a: \mu > 130[/tex]
B. Calculate the value of the test statistic.
The test statistic is:
We have the standard deviation for the sample, so the t-distribution is used to solve this question.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
130 is tested at the null hypothesis:
This means that [tex]\mu = 130[/tex]
A survey of the receipts of 25 customers found that the sample mean was $135.25. Assume that the population standard deviation is $10.50 and that spending follows a normal distribution.
This means that [tex]n = 25, X = 135.25, s = 10.50[/tex]
Then
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{135.25 - 130}{\frac{10.50}{\sqrt{25}}}[/tex]
[tex]t = 1[/tex]
The value of the test statistic is [tex]t = 1[/tex]
C. Calculate the p-value.
Test if the mean is more than a value, so a right-tailed test.
Sample of 25, so 25 - 1 = 24 degrees of freedom.
Test statistic of t = 1.
Using a t-distribution calculator, the p-value is of 0.1636.
D. Calculate the critical value
24 df, using the standard 0.05 significance level.
Using a critical value calculator, the critical value is [tex]t_c = 1.711[/tex]
What is the surface area of a square pyramid if the base has an area of 16 cm2 and the lateral faces have a slant
height of 12 cm?
O 112 cm
O 208 cm2
O 400 cm?
O 640 cm
Answer:
640
Step-by-step explanation:
pleas check my answer
Answer:
112
Step-by-step explanation:
If you add all the triangle faces and the square.
3y - 2x = 9
2y - 2x = 7
Step-by-step explanation:
there is your answer in attachment
which of the following does not describe a rigid motion transformation
Answer:
The answer to this question is dilating the figure by a scale factor of one half.
Solve this math problem 20 points
Answer:
46
Step-by-step explanation:
Diagonals of square are equal, Therefore,
KM=161
JL=4x-23
4x-23=161
4x=161+23
4x=184
x=184/4
x=46
What is the sum of the series 18 E n=4 (n+1) ^2? 1,239 2,415 2,440 2,469
9514 1404 393
Answer:
(c) 2440
Step-by-step explanation:
The sum of the squares of numbers 1 .. n is ...
s(n) = n(n +1)(2n +1)/6
You want the sum of squares from 5 to 19. We can compute that from ...
s(19) -s(4) = (19(20)(39) -4(5)(9))/6 = (14820 -180)/6 = 2440
Answer:
C. 2440Step-by-step explanation:
hope it helps u too
2.What is 10:30 pm in the 24-hour clock?
3. How do you write 00:15 in the 12-hour clock?
4.How do you write 11:50 pm in the 24-hour clock?
11.How are the circumference and the diameter of any given circle related
12. The diameter of a circle is 22 cm long. What is its area?
13.What is the area of the largest circle that can be drawn on a square paper whose side is 20 cm? *
16. Two workers need to dig a rectangular pit that is 2 meters long, 1.5 meters wide, and 1 meter deep. How many cubic meters of soil must they remove? *
17.A cubical water tank has a 20 cm edge. How much water can it contain?
tulong
2. 22:30
just add 12 on the front
that is the formula
2 If 9:30pm is 21:30,then 10:30pm=22:30 pm
3 15 seconds
4. If 10:30 = 22:30 then 11:50pm = 23:50
16. 3*1.5*1=4.5m^3
I think this are the ones I can try ,I hope this helps.
Round the following as specified.
153.38519 to the nearest thousandth.
Answer:
153.3852
Step-by-step explanation:
After the decimal, you count the places. 3 is in the ones place, 8 in the tenths, 5 in the hundreths, and 1 in the thousandths. The thousandths place is what we are rounding, so we look at the next number, 9, which tells us to round the 1 up to 2
Answer:
153.385
Step-by-step explanation:
153.38519
153.38519
The digit to the right of the thousandth (the the one, which is bolded) is less than or equal to 4, which means we round down.
153.38519 ≈ 153.385
Hope this helps.
A hybrid car was driven 300 mi and used 6 gal of gasoline. At the same rate of
consumption, how far would the hybrid car travel on 11.5 gal of gasoline?
Answer:
575 miles
Step-by-step explanation:
Create a proportion where x is the distance traveled on 11.5 gallons of gas:
[tex]\frac{300}{6}[/tex] = [tex]\frac{x}{11.5}[/tex]
Cross multiply and solve for x:
6x = 11.5(300)
6x = 3450
x = 575
So, the car would travel 575 miles
Answer:
575 mi
Step-by-step explanation:
First we are going to find out how much gasoline the hybrid car uses per mile.
to do this we are going to divide 300 by 6.
[tex]\frac{300}{6}[/tex] = 50 mi
∴ For every 50 miles 1 gallon of gas is used. This can be represented as 1:50 or [tex]\frac{1}{50}[/tex].
To find the distance that 11.5 gallon of gas would be used we are going to multiply 50 by 11.5.
50 × 11.5 = 575 mi
Help, please! With workings too!
I'm thinking of a 3-digit number.
When it is divided by 9, the remainder is 3
When it is divided by 2, the remainder is 1
When it is divided by 5, the remainder is 4
What is my number?
3-digit number is abc. ( just call it)
abc= 9d + 3, meaning abc = 3e
abc = 2k + 1, meaning abc is an odd number
abc = 5t + 4, meaning c = 9 ( because abc is an odd number so c can not be 4)
so a+b must be equal 3.
abc can be 309, 219, 129