Answer:
-4
Step-by-step explanation:
The variable z varies jointly with x and y. Also, z = -75 when x = 3 and y = -5.
What equation describes this variation?
x = kyz
y = kxz
z = kxy
k = xyz
What equation describes this variation?
z = kxy
What is the constant of variation?
k = 5
When x = 1 and y = –2, z =
-10
Step by Step Explanation:
With the equation z = kxy and the values for z, x, and y, we can find k.
z = kxy
-75 = (k) (3) (-5)
-75 = (k) (-15)
5 = k
k = 5 (final answer).
To check our work, we just enter all of the values and make sure it adds up.
z = kxy
-75 = (5)(3)(-5)
-75 = 15(-5)
-75 = -75
correct!
Do the same to find the answer for the next part to get -10.
Further proof in the file attached.
Answer:
C.
5
-10
NEXT SLIDE:
3/8
3/40
NEXT SLIDE:
A.
7
42
NEXT SLIDE:
D.
6
NEXT SLIDE:
B.
10
LAST SLIDE:
A.
D.
Step-by-step explanation:
100% Edge 2021
I did the Assignment.
Good luck catching up in Edge before the end date fam!
In 5 days, a scientist wrote 3 pages of a research paper, At that rate, how many days will it take the scientist to write a 30- page research paper?
A 18 days C 25 days
B 30 days D 50 days
Answer:
50 days
Step-by-step explanation:
5/3 = 50/30
pls brainliest
Order the angles in each triangle from smallest to largest.
9514 1404 393
Answer:
B: L, M, N
Step-by-step explanation:
The sides are listed from shortest to longest. The angles opposite these sides will be in order smallest to largest. The name of the opposite angle is the vertex whose name is missing from the side's name.
MN is opposite angle L, the smallest
LN is opposite angle M, the middle-size
LM is opposite angle N, the largest.
Smallest to largest, the angles are ∠L, ∠M, ∠N.
What is the rectangular form of 6(cos(2250)+ i sin(2250)?
9514 1404 393
Answer:
-4.24264 -4.24264i
Step-by-step explanation:
Evaluate the sine and cosine terms and multiply.
6(cos(225°) +i·sin(225°)) = 6(-√2/2 -i·√2/2)
= -3√2 -i·3√2 ≈ -4.24264 -4.24264i
Answer:The correct answer is (A) - 3√2 - 3√2 i
The height of one cylinder is 8 cm, and the radius of its base is 5 cm. The height of a second cylinder is 24 cm, and the radius of its base is 5 cm. How many times the volume of the first cylinder is the volume of the second cylinder?
Answer:
Step-by-step explanation:
volume₁ = π5²·8 = 200π cm³
volume₂ = π5²·24 = 600π cm³
volume₂ = 3×volume₁
Answer:
It is 3, hopefully you got a good score! :D
Step-by-step explanation:
Olympia ate lunch at a restaurant. The amount of her check was $6.89. She left $8.00 on the table, which included the amount she owed plus a tip for the waiter. Which equation shows t, the amount of her tip, in dollars?
A town has a population of 5000 and grows at 3.5% every year. To the nearest tenth of a year, how long will it be until the population will reach 7300?
Answer:
Step-by-step explanation:
This is an exponential function. In order to find the answer to the question, we need to first determine what the equation is that models this information. The standard form for an exponential function is
where a is the initial value and b is the growth/decay rate. If the starting population is 5000, then
a = 5000
If the population is growing, that means that it retains 100% of the initial population and is added to by another 3.5%. So in a sense the population grows 100% + 3.5% = 103.5% or, in decimal form, 1.035. So
b = 1.035
Our function is
where y is the ending population and x is the number of years it takes to get to that ending population. We want to know how long, x, it will be til the population reaches 7300, y.
and we need to solve for x. The only way to do that is by using logs. I'll use natural logs for this.
Begin by dividing both sides by 5000 to get
and take the natural log of both sides:
The power rule for natural logs is that we can now bring the exponent down in front of the ln to get:
To solve for x, we now divide both sides by ln(1.035):
Do that division on your calculator and get that
x = 11.0 years.
That means that 11 years after the population was 5000 it will be expected to reach 7300 (as long as the growth rate remains 3.5%)
?????????????????????
Answer: A 128
Step-by-step explanation:
Y’all can you help on this?
3x6/7 (write in simplest form
Answer:
2 4/7
Step-by-step explanation:
Answer:
Step-by-step explanation:
A class has 28 children in it.
Can it be split in the ratio 3:2?
Answer:
Yes the class can
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
In this rectangular box, EF = 6, FD = 5, and DB = 8. Find A F . A. V61 B. V89 C. 10 D. 5V5
Answer:
Step-by-step explanation: Got it right on E D G E N U I T Y
Answer:
D
Step-by-step explanation:
Find the product of 5/3 with quotient of 2/11 and 4/11
Answer:
5/6
Step-by-step explanation:
quotient of 2/11 and 4/11 is 22/44 or 1/2
5/3 · 1/2 = 5/6
Clinical literature reports that the duration of a typical cold is roughly 18 days. Researchers wanted to know if people tend to underestimate the duration of a typical cold, on average. They surveyed a random sample of 352 healthy adults in Georgia and asked them how long they think that a typical cold lasts. The researchers reported a 95% confidence interval of 6.9 to 8.2 days for the mean expected duration of typical cold.
Which of the following is the correct interpretation for this confidence interval?
a. We are 95% confident that the sample mean duration is between 6.9 and 8.2 days.
b. We are 95% confident that the population mean duration is between 6.9 and 8.2 days.
c.There is a 95% chance that the mean duration of another random sample from this population would be between 6.9 and 8.2 days.
d. There is a 95% chance that a randomly selected individual from this population would give a response between 6.9 and 8.2 days.
Answer:
b. We are 95% confident that the population mean duration is between 6.9 and 8.2 days.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
95% confidence interval of 6.9 to 8.2 days for the mean expected duration of typical cold.
This means that we are 95% sure that the true duration of a typical cold(population mean) for all health adults in Georgia is between 6.9 and 8.2, which means that the correct answer is given by option b.
The total cost to go horseback riding is x dollars per hour plus a $2 fee for renting a helmet. Which expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each? Select all that apply.
4(3x+2)
3(4x+2)
6x+3+6x+5
4(3x)+4(2)
12x+8
3x(4)+2
Answer:
4(3x+2), 4(3x)+4(2), 12x+8
Step-by-step explanation:
A scale model of a rectangular building lot measures 7feet by 5 feet. If the actual house will be built using a scale factor of 12 what is the area of the actual building lot
Write an equivalent expression to x-6y+5
x-6y+5= x-(-6y)+5
x-6y+5= 5 (x-6y+1)
x-6y+5= x+5+(-6y)
x-6y+5= x+5+6y
Answer:
x-6y+5= x-(-6y)+5
Step-by-step explanation:
don't know if right just trying to help sorry
Suppose lightning strikes at an average of 1.4 strikes per minute during a particular storm. You play the following game: if the next strike occurs within the next minute, you win 3 dollars, if the next strike occurs between 1 minute and 2 minutes from now, you win 5 dollars, and if the next strike occurs more than 2 minutes from now, you win 1 dollar. How much should someone be charged to play this game, to make it a "fair game?"
Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
4. (5 x 3) x 2 = 5 x (3 x 2) is an example of which property?
A) Commutative Property for Addition
B) Associative Property for Multiplication
O C) Distributive Property for Multiplication
D) Commutative Property for Multiplication
Answer:
B, Associative property for multiplication
Step-by-step explanation:
Commutative property means the numbers can be multiplied in any order, so the (5 x 3) x 2 could be written as 3 x 5 x 2 and would be the same.
Associative property deals more with groupings of terms/numbers. Since the order of the numbers stayed the same, and the parentheses are moved, this is an example of the associative property.
Need help ASAP question 12
Answer:
Parallelogram
Step-by-step explanation:
Opposite sides are parallel
Peter Company, a produce distributer, always tries to sell its oldest produce first.
Peter company
Answer:
what is this a maths problem
8. How much paint are you going to need to paint the entire figure to the right? (you do paint the bottom
of the rectangles)
Will mark brainlest for foist answer
Answer:
The surface area would be 560 in.²
It doesn’t say how much paint it takes to cover area.
Step-by-step explanation:
6x5x2=60
4x6x2=48
18x6x2=216
18x5x2=180
7x4x2=56
60+48+216+180+56=560
help ill give brainliest
Answer please 9 - (-4).
Convert 65.949 to expanded form.
plzz help
Answer:
(6 × 10) + (5 × 1) + (9 × 1 10 ) + (4 × 1 100 ) + (9 × 1 1000 )
Step-by-step explanation:
can u plz tell me hurry
2. The ratio of the angle measures in a
triangle is 1:12:17. What is the measure of
smallest angle?
Answer:
6 degrees
Step-by-step explanation:
x + 12x + 17x = 180
x = 6
The angles are 6 : 72 : 102 so the smallest is 6 degrees.
Answer:
sum of all angles = 180
given angle 1 X., 12 X, 17 X
SO 1 X + 12 X + 17 X= 180
13 X+17 X =180
30 X = 180
X=180\30
X =6
ANS =6
HOW; PUT X = 6 APPLY TO 1 X., 12 X, 17 X
1 X=1×6= 6
12X = 12×6 =72
17 X = 17 ×6 =102
ANS = 6
Step-by-step explanation:
I don’t know what to do
Answer:
okay so, everytime you see anything that says "a number", that will automatically mean that there is a number in the equation that u dont know, so instead of putting a random number in its place, you put an "exponent" aka a letter like "x" for example. so it says, 12 is the sum of a "number" and 3, that means 3 plus a number gives u 12, you would have to make an equation to find the "number" so the equation would be "3 + x = 12".
Step-by-step explanation:
4/7 of 29= (estimate each product)
Answer:
16
Step-by-step explanation:
Answer:
16.5714286. 17 because the .5 rounds up.
Step-by-step explanation:
Find a seventh of 29 by dividing the number by 7 and you will get 4.14285714.
Then, multiply that number by 4 to get your four sevenths. You will then get your answer which is 17.
Pls help I give brain
Answer:
$480
Step-by-step explanation:
8x6x10=480