Answer:
[tex]q = -6p + 104[/tex]
Step-by-step explanation:
Linear function:
A linear function has the following format:
[tex]q = mp + b[/tex]
In which m is the slope and b is the q-intercept.
One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.
This means that we have these following points: (4,80), (10,44).
Finding the slope:
With a pair of points, the slope is given by the change in q divided by the change in p.
Change in q: 44 - 80 = -36
Change in p: 10 - 4 = 6
Slope: [tex]m = \frac{-36}{6} = -6[/tex]
So
[tex]q = -6p + b[/tex]
Finding b:
We replace one of the points. Replacing (4,80).
[tex]q = -6p + b[/tex]
[tex]80 = -6*4 + b[/tex]
[tex]b = 104[/tex]
So
[tex]q = -6p + 104[/tex]
2. Is APYT an acute, right, or obtuse triangle?
Т.
8 in.
12 in.
P
Y
6 in.
Answer:
OBTUSE
Step-by-step explanation:
We can determine this based on the the pythagorean theorem!
[tex]a^{2}+ b^2 = c^2[/tex]
With Pythagorean Theorem, c is the longest length in the triangle... So, if c = a squared plus b squared, then it is a right triangle! If c is less, it is acute, and finally, if C is more than the two - then it is obtuse!
So let's see...
[tex]8^{2} +6^2 ? 12^2\\64 + 36 ? 144\\100 < 144[/tex]
This is an OBTUSE triangle, since c adds up to be more than a and b.
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Solve for d in terms of r.
r=d/2
d=
Answer:
Step-by-step explanation:
r=d÷2
Multiply both sides by 2
d=2r
Please mark brainliest.
d = 2r
What is simplification?Simplification means to make any equation simple or any large equations to a simple form, simplification can be done with mathematical formula and done for all operators in mathematics.
Given r = d/2
when we transfer digits to other sides of equal they change their sign,
plus tends to minus or vice versa,
and multiply tends to divide or vice versa.
so d = 2r
Hence the solution for d is 2r
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Find the value of x in the triangle shown below
Answer:
Step-by-step explanation:
x=[tex]\sqrt{12^{2} +16^{2} }[/tex]
x=20
Help plz:)))I’ll mark u Brainliest
Answer:
x=20
Step-by-step explanation:
hope this helps
Answer:
X=20
Step-by-step explanation:
enjoy! (Hope u got it right)
how many times greater is 6x10⁹ than 3x10²
can somebody please help
a. 44.5
b. 15
c. 37.5
d. 26.25
Answer:
I think c
Step-by-step explanation:
not completely sure cant see question
My question is 11a=88
Answer:
a = 8
Step-by-step explanation:
11a = 88
divide both sides by 11.
a = 8
Jay's allowance is reduced $1.25 every time he forgets to clean his room. If he forgets to clean his room 7 times this month, how much is Jay's allowance reduced?
Answer:
$8.75
Step-by-step explanation:
1.25 times 7 equals 8.75 so it is reduced by 8.75
44. Manufacturing Ball bearings are manufactured with a mean diameter of 5 millimeters (mm). Because of variability in the manufacturing process, the diameters of the ball bearings are approximately normally distributed, with a standard deviation of 0.02 mm. (a) What proportion of ball bearings has a diameter more than 5.03 mm
Answer:
0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Manufacturing Ball bearings are manufactured with a mean diameter of 5 millimeters (mm).
This means that [tex]\mu = 5[/tex]
With a standard deviation of 0.02 mm.
This means that [tex]\sigma = 0.02[/tex]
(a) What proportion of ball bearings has a diameter more than 5.03 mm
This is 1 subtracted by the pvalue of Z when X = 5.03. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5.03 - 5}{0.02}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a pvalue of 0.9332
1 - 0.9332 = 0.0668
0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm
Taylor opened a savings account with $425. After 2 years, the total interest earned was $10.20. What was the annual interest rate?
Answer:
R = 1.2%
Step-by-step explanation:
Given the following data;
Principal = 425
Time = 2
Simple interest = 10.20
To find the annual interest rate;
Mathematically, simple interest is calculated using this formula;
[tex] S.I = \frac {PRT}{100} [/tex]
Where;
S.I is simple interest. P is the principal. R is the interest rate. T is the time.Substituting into the equation, we have;
[tex] 10.20 = \frac {425*R*2}{100} [/tex]
[tex] 10.20 = \frac {850R}{100} [/tex]
Cross-multiplying, we have;
[tex] 1020 = 850R [/tex]
[tex] R = \frac {1020}{850} [/tex]
R = 1.2%
Therefore, the annual interest rate is 1.2 percent.
what are the coordinates of the final point?
9514 1404 393
Answer:
(5, -8)
Step-by-step explanation:
Reflection over the y-axis negates the x-coordinate. Translation down 3 subtracts 3 from the y-coordinate. The resulting transformation is ...
(x, y) ⇒ (-x, y-3)
(-5, -5) ⇒ (5, -8)
The coordinates of the final point are (5, -8).
0.75 times what equals 3
What is the answer
Answer:
4
3/.75=4
divide 3 by point seven five
Graph the image of square TUVW after the following sequence of transformations:
Rotation 180 counterclockwise around the origin
Reflection across the y-axis
Please help! I don’t understand!
What is the complement of a 89° angle?
Answer:
the supplement of 89° is the angle that when added to 89° forms a straight angle (180° )
Step-by-step explanation:
hope this helps have a good rest of your night/day :) ❤
Find a. Round to the nearest tenth
12 cm
22 cm
31.8°
75°
a
a = [?] cm
Law of Sines: sin A
sin C
sin B
b
=
a
С
Enter
Answer:
21.8cm is the required answer
Step-by-step explanation:
The measurement of the third side of the triangle is 22 cm
What is sine law?The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,
Finding angle A
180°-(75°+31.8°) = 73.2°
Now, using the sine law,
Sin 73.2° / a = Sin 75° / 22
a = 21.80
a ≈ 22
Hence, the measurement of the third side of the triangle is 22 cm
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A tank containing 1140.8 gallons can be emptied in 92 minutes. How many gallons is that per minute?
Answer:
Divide the volume of the tank (10,000 gallons) by the filling rate of 250 gallons/minute and you will Hours = hr x min x 3785 ml x 55 gal = 208175 = 115.6 hrs.
Step-by-step explanation:
hope it helps
Does the equation represent a function? * (WILL GIVE BRAINLIEST IF RIGHT)
y = x^2 + 36
Yes this is a function because for any input value (x) you will get a unique output value (y).
Find the missing length indicated. Leave your answer in simplest radical form.
Answer:
18[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The hypotenuse of the 45-45-90 triangle is [tex]\sqrt{2}(9\sqrt{2} ) = 18[/tex]
The hypotenuse of the 45-45-90 triangle is also the shorter leg of the
30-60-90 triangle
The longer leg = x = shorter leg times [tex]\sqrt{3\\}[/tex] = 18[tex]\sqrt{3\\}[/tex]
find the l distance between (-13,3.5) and (17,2)
8) x - 5y = -15
x - 2y = -12
Answer:
If solving for X. (didn't know if you were solving for X or Y.
x=2y-12
x=5y-15
Step-by-step explanation:
x-2y=-12
+2y on both sides
x=2y-12
x-5y=-15
+5y on both sides
x=5y-15
Answer:
x = -10
y = 1
Step-by-step explanation:
x - 5y = -15
x - 2y = -12
__________--
-3y = -3
y = -3/-3
y = 1
x - 2y = -12
x - 2(1) = -12
x - 2 = -12
x = -12 + 2
x = -10
while shopping, betting spent five times as much as meg. if they spent a total of $108, how much did each person spend?
Answer:
meg spen $18 and betting spent $90
Step-by-step explanation:
An advertising agency notices that approximately 2 in 50 potential buyers of a product sees a given magazine ad, and 1 in 7 sees a corresponding ad on television. One in 100 sees both. One in 5 actually purchases the product after seeing the ad, 1 in 10 without seeing it. What is the probability that a randomly selected potential customer will purchase the product
Answer:
the probability that a randomly selected potential customer will purchase the product is 0.11728
Step-by-step explanation:
Given the data in the question;
by hypothesis, let the event be given as;
M = buyers sees a given magazine ad of the product
T = buyers sees a given television ad of the product
[tex]P_{A}[/tex] = buyer purchases the product after seeing the ad
[tex]P_{A"}[/tex] = buyer purchase the product without seeing the ad
from the information given in the question;
P(M) = (2/50 ) = 0.04, P(T) = ( 1/7) = 0.1428, P(M∩T) = (1/100) = 0.01,
P([tex]P_{A}[/tex]) = (1/5) = 0.2, p( [tex]P_{A"}[/tex] ) = (1/10) = 0.1
now, the probability that the buyer sees the ad of the product will be;
P( M ∪ T ) = P( M) + P(T) - p( M ∩ T)
P( M ∪ T ) = 0.04 + 0.1428 - 0.01
P( M ∪ T ) = 0.1728
The probability that the buyer does not see the ad of the product will be;
P( M ∪ T )' = 1 - P( M ∪ T )
= 1 - 0.1728
= 0.8272
Now, the probability that a randomly selected potential customer will purchase the product will be;
P(P) = P([tex]P_{A}[/tex]) P( M ∪ T ) + p( [tex]P_{A"}[/tex] )P( M ∪ T )'
P(P) = (0.2)(0.1728) + (0.1)(0.8272)
= 0.03456 + 0.08272
P(P) = 0.11728
Therefore, the probability that a randomly selected potential customer will purchase the product is 0.11728
g(x)=w^2+7w-7 and f(x)=4w-8 and (f+g)(5)=
The value of (f + g)(5) is 65
FunctionFunction relates input to output . Therefore,
g(x) = w² + 7w - 7
f(x) = 4w - 8
Therefore,
(f + g) = w² + 7w - 7 + (4w - 8)
(f + g) = w² + 7w - 7 + 4w - 8
(f + g) = w² + 11w - 15
Finally,
(f + g)(5) = 5² + 11(5) - 15
(f + g)(5) = 25 + 55 - 15
(f + g)(5) = 80 - 15
(f + g)(5) = 65
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13.6z - 11 = -1.48.
can u please show the work for it
Step-by-step explanation:
13.6z - 11 = -1.48.
13.6z=-1.48+11
z=9.52/13.6=0.7
which of the following graphs describes the solution set of -4/5x-13/5>=-9?
Answer:
Hey Bud
your answer is x ≤ 8
Step-by-step explanation:
should be closed dot pointing to the negative numbers
Let's solve your inequality step-by-step
Step 1: Simplify both sides of the inequality.
Step 2: Add 13/5 to both sides.
Step 3: Multiply both sides by 5/(-4).
The consecutive monthly flows into and out a reservoir in a given year are the following, in relative units: Month J F M A M J J A S O N D Inflow 3 4 5 3 4 10 28 17 7 6 3 2 Outflow 7 8 7 11 6 8 21 12 5 4 5 9 The reservoir contains 50 units at the beginning of the year. How many units of water are in the reservoir at the middle of August
Answer:
41.5 units
Step-by-step explanation:
Given the data :
Month : J F M A M J J A S O N D
Inflow : 3 4 5 3 4 10 28 17 7 6 3 2
Outflow : 7 8 7 11 6 8 21 12 5 4 5 9
The unit of water in reservoir at the middle of August :
Initial unit = Unit of water at the start of the year = 50
Middle of August :
Inflow = 17 /2 = 8.5
Outflow = 12 /2 = 6
Unit of water at the middle of August :
Initial unit + Inflow - Outflow
Inflow till mid-August = (3+4+5+3+4+10+28+8.5) = 65.5
Outflow till mid-August = (7+8+7+11+6+8+21+6) = 74
50 + 65.5 - 74 = 41.5
Which inequality is NOT true?
A 65.7 < 67.54
B 4.003 > 4.03
C 26.4 < 26.48
D 0.91 > 0.097
Answer:
b
Step-by-step explanation:
it's b and mark me brainlist plaese
Find the measure of angle2
A. 90
B. 50
C. 60
D. 30
Graph a solution of x - 6 > 3
Can someone help please.?
Answer:
D) [tex]\frac{(-p)}{(-3q)}[/tex]
Step-by-step explanation:
This option is the only correct one. To solve for this, insert the numbers into the equation: [tex]\frac{(-6)}{(-3x2)}[/tex]. To solve this, first multiply -3 s 2 at the denominator to get -6. Now divide -6 divided by -6 to get 1. The number 1 is greater than -9. All of the other options have answers that equal -9.
Hope it helps!