Answer:
60%
Step-by-step explanation:
55 - 22 = 33
33/55 = 0.6
0.6*100 = 60%
If you have a demand function of Qd=48-9P and a supply function of Qs=-12+6P,
what would the equilibrium QUANTITY be?
Answer:
The equilibrium quantity is 26.4
Step-by-step explanation:
Given
[tex]Q_d = 48 - 9P[/tex]
[tex]Q_s = 12 + 6P[/tex]
Required
Determine the equilibrium quantity
First, we need to determine the equilibrium by equating Qd to Qs
i.e.
[tex]Q_d = Q_s[/tex]
This gives:
[tex]48 -9P = 12 + 6P[/tex]
Collect Like Terms
[tex]-9P - 6P = 12 - 48[/tex]
[tex]-15P = -36[/tex]
Solve for P
[tex]P = \frac{-36}{-15}[/tex]
[tex]P =2.4[/tex]
This is the equilibrium price.
Substitute 2.4 for P in any of the quantity functions to give the equilibrium quantity:
[tex]Q_d = 48 - 9P[/tex]
[tex]Q_d = 48 - 9 * 2.4[/tex]
[tex]Q_d = 26.4[/tex]
Hence, the equilibrium quantity is 26.4
which expression is equivilant to 4(7c+3)+5
Answer:
28c+17
Step-by-step explanation:
distribute get 28c+12+5
combine like terms get 28c+17
Write an equation of the line that passes through (-3.3) and is perpendicular to the line 2y=8x-6
Answer:
y= -.25x+2.25
Step-by-step explanation:
Answer:
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
(-3, 3)
2y = 8x - 6 ⇔ y = 4x - 3
y - 3 = - [tex]\frac{1}{4}[/tex] (x + 3)
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{9}{4}[/tex]
Find the equation of a line (in y = mx + b form) through the point (-2,5) with an angle of
inclination of 45°.
Answer:
y = x + 7
Step-by-step explanation:
The equation of a line in slope - intercept form is expressed as y = mx+c
m is the slope
c is the intercept
Get the slope m;
m = tan theta
m = tan 45
m = 1
Get the intercept c;
Substitute m = 1 and (-2, 5) into the equation y = mx+c and get c;
5 = 1(-2)+c
5 = -2+c
c = 5+2
c = 7
Get the required equation;
y = 1(x)+ 7
y = x + 7
Hence the equation of the line is y = x+7
You are a researcher studying the lifespan of a certain species of bacteria. From a previous study, it was found that the standard deviation was 5.6 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 98% level of confidence. What sample size should you gather to achieve a 0.45 hour margin of error?
Answer:
The sample size is [tex]n = 841 [/tex]
Step-by-step explanation:
From the question we are that
The standard deviation is [tex]\sigma = 5.6 \ hours[/tex]
The margin of error is [tex]E = 0.45[/tex]
From the question we are told the confidence level is 98% , hence the level of significance is
[tex]\alpha = (100 - 98) \%[/tex]
=> [tex]\alpha = 0.02[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.33[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [2.33 } * 5.6}{0.45} ] ^2[/tex]
=> [tex]n = 841 [/tex]
What is the Domain and Range?
(see TWO photos)
PLEASE HELP
Answer:
The domain (x values) is negative infinity to positive infinity since the graph keeps going in both directions ( left and right ) and the range (y values) is -1 to positive infinity since the graph starts at vertex (-1, -4) and continues infinitely upward.
. Jada is collecting stickers. After getting 15 more stickers, she has 60 stickers in total. Select all the equations Jada can solve to find x, the number of stickers she started with.
Answer:
[tex]x + 15 = 60[/tex]
[tex]x = 60 - 15[/tex]
Step-by-step explanation:
Given
[tex]Additional = 15[/tex]
[tex]Total = 60[/tex]
Required
What equation can be used to select the initial number of stickers
Represent the initial number of stickers with x
The equation can then be written as:
[tex]x + Additional = Total[/tex]
This gives:
[tex]x + 15 = 60[/tex] ---- This is one equation
Make x the subject
[tex]x = 60 - 15[/tex] --- This is another equation
Solving further for x
[tex]x = 45[/tex]
This implies that she started with 45 stickers
use your knowledge of function to complete the table below, identify wether or not each representation is a function, and be sure to justify your answer
I WILL GIVE YOU ALL MY POINTS OF YOU GIVE THE FUNCTION AND JUSTIFICATION OF THESE 3 QUESTIONS PLEASE HELP
Answer/Step-by-step explanation:
3. Function: NO
Justification: there will be more than one y-value/output related to one x-value/input.
4. Function: YES
Justification: There are exactly one y-value/output related to each input/x-value in the relation.
5. Function: YES
Justification: each x-value/input is mapped to exactly one y-value/output. No input value is mapped to more than one output value.
Write the decimal number in standard form. Five hundred three and six hundred ninety-seven thousandths
Write an equation of the line with the given slope, m, and y-intercept (0,b)
m=8, b=7
Answer:
[tex]y = 8x + 7[/tex]
Step-by-step explanation:
Given
[tex]m = 8[/tex]
[tex]b = 7[/tex]
[tex]y-intercept: (0,7)[/tex]
Required
Determine the equation
An equation has a general form as follows:
[tex]y = mx + b[/tex]
Next, we substitute values for m and b
Substitute 8 for m and 7 for b
[tex]y = 8x + 7[/tex]
Hence, the line equation is: [tex]y = 8x + 7[/tex]
Given the measures a = 10, b = 40, and A = 30°, how many triangles can possibly be formed?
Answer:
no triangle can be formed with the given values (i.e 0 triangle).
Step-by-step explanation:
Given;
length of side a, = 10
length of side b, = 40
angle A, = 30°
Apply sine rule to determine the angle of the second side (B);
[tex]\frac{sin \ A}{a} = \frac{sin \ B}{b} \\\\\frac{sin \ 30^0}{10} = \frac{sin \ B}{40}\\\\sin \ B = 40(\frac{0.5}{10} )\\\\sin \ B = 2[/tex]
The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.
Answer:0
On edge
Step-by-step explanation:
The area of a parallelogram can be found by the
equation area = (b)(h)
Find the height of a parallelogram that has an area of
10 2 in? and a base of Ž in.
The height of the parallelogram is
inches.
Pls help am giving brainliest
I think that it might be 7.87 sorry if i am wrong
HELPPPPP PLEASE I DONT GET THIS THANKS
Answer:
√10
Step-by-step explanation:
Pythagorean theorem. a^2+b^2=c^2.
In this case 9^2+b^2=√91^2. That equals 81+b^2=91. You isolate b^2, b^2=10. So b=√10.
Unit rates 12 cans for 6 people
Answer:
12:6 or 6:12 cant remember but i thinks its the first one lol
Step-by-step explanation:
4 tons of sawdust cost $7,520.00. What is the price per pound?
Answer:
1,880 per pound
Step-by-step explanation:
Christian evaluated the expression, but his teacher told him he made a mistake.
8. (24-3) +18
8 (16-3) +5
8. 13 +5
104 +5
109
A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below.Which statement best describes how the manager can check if there is an association between the two variables?
A recipe used 2/3 cup of sugar for every 2 teaspoons of vanilla. How much sugar was used per teaspoon of vanilla?
Answer:
Thank you and please rate me as brainliest as it will help me to level up
dont mind my answer plz help
Answer:
I don't think it's a knot.
Please help I will brainliest!! Really urgent!!
Find the difference
and tell you me how you go it, not just the answer please!❤️
Answer:
-2.83333333
Hope this helped!
Answer:
[tex]\frac{1}{3}[/tex]x-1
Step-by-step explanation:
([tex]\frac{5}{6}[/tex]x-7)-([tex]\frac{1}{2}[/tex]x-6) =
The - sign before 6 is turned into a + sign when the bracket is removed because the arithmetic operation before the bracket is - and two - makes the second - turn into a + (It's a rule I can't rlly explain it well but yea)
[tex]\frac{5}{6}[/tex]x-7-[tex]\frac{1}{2}[/tex]x+6 = [tex]\frac{5}{6}[/tex]x-1-[tex]\frac{1}{2}[/tex]x
-7+6 makes it a -1.
[tex]\frac{5}{6}[/tex]x-[tex]\frac{1}{2}[/tex]x-1 = [tex]\frac{5}{6}[/tex]x-[tex]\frac{3}{6}[/tex]x-1
To make the denominator of the two fractions the same, I multiplied the second fraction by 3 so that both denominators are 6.
[tex]\frac{5}{6}[/tex]x-[tex]\frac{3}{6}[/tex]x-1 = [tex]\frac{2}{6}[/tex]x-1
After making the denominator the same, I can directly do the equation for the numerators (5-3=2) and keep the denominator the same.
[tex]\frac{2}{6}[/tex]x-1 = [tex]\frac{1}{3}[/tex]x-1
Since 2/6 has a common factor which is 2, I can divide both the numerators and denominators so that the fraction can be simplified further into 1/3, its simplest form.
what is it ?????????????
Answer:
It's A
Step-by-step explanation:
0.073 is les than 0.73
Stan spent $440 on 8 chairs. To find out how much he
spent on each chair, he did the following work in long
division.
Answer:
the answer is there should be another digit in the quotient
Answer:
No, because there should be another digit in the quotient
Find the standardized test statistic t for a sample with n = 15, = 10 , s = 0.8, and if Round your answer to three decimal places.
Complete question :
Find the standardized test statistic t for a sample with n = 15, x = 10, s = 0.8, H0: μ = 10.5. Round your answer to three decimal places.
Answer:
−2.420614
Step-by-step explanation:
Given that:
Given that:
n = 10
s = 0.8
X = 15
μ = 15.9
Using the relation :
(x - μ) / (s/√n)
(10 - 10.5) / (0.8/√15)
-0.9 / 0.2065591
= −2.420614
Hence, the standardized test statistic = −2.420614
x^2-8x-36
says “needs to be factored completely”
Step-by-step explanation:
x^2 - 8 - 36
x = (-(-8) ± √(-8)^2-4(1)(-36))/(2(1)) = (8 ± √64+144)/2 = 4 ± 0.5√208
x = (8+√208) or x = (8-√208)
therefore
(x - 8-√208)(x + 8-√208)
hopefully I'm not wrong
Loren Weber wants to buy the sedan listed below. There is a 6% sales tax on the purchase price of the car. If Loren pays the full sticker price for the car? What is the total price?
Answer:$32,085
Step-by-step explanation:
$25,335+1,995+995+895+895+695+295+195+35+750= $32,085
Total price of the sedan that Loren Weber wants to buy = $34010.1
What Is a Sales Tax?A sales tax is a consumption tax imposed by the government on the sale of goods and services. A conventional sales tax is levied at the point of sale, collected by the retailer, and passed on to the government.
Given,
CODE DESCRIPTION MSRP
SAL 4 4 Dr. Sedan AWD $25335
85N Navigation System $1995
66E Entertainment System $995
Chrome Wheel Covers $895
Interior Convenience Package $895
SS9 Safety & Security Package $695
RSS2 Reverse Sensing System $295
SR5 Satellite Radio $195
195 EBH9 Engine Block Heater $35
E43 Destination Charge $750
Full sticker Price = 25335+1995+995+895+895+695+295+195+35+750
Full sticker Price = $32085
6% sales tax = 0.06 × $32085 = $1925.1
Total price of the car = Full price + sales tax
Total price of the car = $32085 + $1925.1
Total price of the car = $34010.1
Hence, $34010.1 is the total price of the sedan that Loren Weber wants to buy.
Learn more about sales tax here:
https://brainly.com/question/29442509
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A store offers different brands of a product. It decides to eliminate the brand
that is most likely to be returned. The table shows the number of items of
each brand that were returned over the past year and the total sold.
Returns
Total sold
Brand A
33
685
Brand B
15
492
Brand C
29
361
Brand D
31
766
Which brand should the store eliminate?
O A. Brand B
O B. Brand D
O C. Brand C
O D. Brand A
Answer: They should eliminate Brand C
Step-by-step explanation:
You need to divide the total returns by the total sold to which Brand has the greatest percentage returned.
The brand that the store should eliminate out of the 4 given brands using the data in the table is; Brand C
How to Solve Percentage Problems?To find the brand that the store should eliminate we need to find the percentage of sold items that were returned and pick the highest percentage as the brand the store should eliminate.
Brand A percentage = [tex]\frac{33}{685}[/tex] × 100 = 4.81%
Brand B percentage = [tex]\frac{15}{492}[/tex] × 100= 3.04%
Brand C percentage = [tex]\frac{29}{361}[/tex] × 100 = 8.03 %
Brand D percentage = [tex]\frac{31}{766}[/tex] × 100 = 4.04%
Brand C has the highest percentage and as such it is the brand that should be eliminated.
Find out more information about Percentage here
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please help me I need this for school
Answer:
It would be c!
Step-by-step explanation:
You buy a pair of jeans for 25% markdown from $32.00. The sales tax is 6%. How much will you pay for the jeans?
Answer:
$25.44
Step-by-step explanation:
Although the starting price of the pair of jeans is $ 32, it is 25% off. Thus, 75% of its initial value (100-25) is being paid, with which the pre-tax price is determined as follows:
32 x 0.75 = X
24 = X
In turn, at that discounted price, 6% must be calculated as sales tax, with which the final price is determined through the following calculation:
24 x 1.06 = X
25.44 = X
Therefore, the price to pay for the pair of jeans is $ 25.44.
Answer:
$25.44
Step-by-step explanation:
i just know
model their profits over 15 years
Answer:
Model what profits
Step-by-step explanation:
What is the slope of the line containing the points
(-2,5) and (1, -7)