Answer: -3 to the fourth power means we are multiplying -3 four times. Hence answer is 81 and not -81
Step-by-step explanation:
3.14(10)^(2)12
I cant figure this out
3.14(10)^2(12)
answer=3768
An inflatable pool has sprung a leak. You place a 12-ounce cup under the leak and find that it fills
up in 50 seconds. How many gallons per hour is the swimming pool losing?
Answer:
6.75 gallons lost in 1 hour.
Step-by-step explanation:
1 US gallon = 128 ounces.
12 ounces takes 50 seconds.
x ounces takes 3600 seconds (which is 1 hour) Cross multiply
12 * 3600 = 50 x
43200 = 50 x Divide by 50
43200 / 50 = x
864 oz = x
So in 1 hour 864 ounces were lost.
Now there are 128 ounces in a gallon
1 gallon /128 ounces = x / 864 Cross multiply
864 * 1 / 128 = x
6.75 = x
There are 6.75 gallons in 1 hour
Mary has a stack of cards, 8 purple, 6 orange, 5 red and 7 black. If she has to choose a card, how many possible outcomes are there?
Answer: The amount of outcomes is 26 because you have 26 cards which are all possible to draw so they are the outcomes.
Step-by-step explanation:
Basic arithmetic really. 8+6+5+7 = 26. The color was just added to confuse u.
7.2x14.3 what is that?
Answer:
102.96
Step-by-step explanation:
Answer:
[tex]102.96[/tex]
Step-by-step explanation:
7 . 2
× 14 . 3
___________
²2 . 16
²28 . 80
72 . 00
____________
¹1¹02.96
Therefor, the answer is 102.96
A cereal company makes a cereal from two ingredients: wheat and oats. Each ingredient provides two essential nutrients: vitamin A and vitamin B. The company wants to know how many ounces of wheat and oats to include in each box of cereal so that the minimum requirements of 48 milligrams of vitamin A and 20 milligrams of vitamin B are satisfied. An ounce of wheat provides 10.5 milligrams of vitamin A and 2.4 milligrams of vitamin B. An ounce of oats provides 6 milligrams of vitamin A and 1.8 milligram of vitamin B. An ounce of wheat costs $0.05 and an ounce of oats costs $0.10. The company wants to minimize the total cost of production.
Find the solution to this problem using the Simplex method.
Answer:
z (min ) = 0.4167 $
x = 8,33 oz
y = 0
Step-by-step explanation:
Table:
Vitamin A Vitamin B Cost $/oz
Wheat (x) 10.5 2.4 0.05
Oats (y) 6 1.8 0.10
Requirements 48 (mg) 20 (mg)
Requirements 1,693 (oz) 0,7054 (oz)
The problem is minimized z subject to two constraint
z = 0.05*x + 0.1*y to minimize
Subject to:
Requirement of Vitamin A
10.5*x + 6 * y ≥ 48
Requirement of Vitamin B
2.4*x + 1.8*y ≥ 20
x≥0 y≥0
Using the on-line solver AtomZmaths and after 3 iterations the solution is:
z (min ) = 0.4167 $
x = 8,33 oz
y = 0
The cost, in dollars, of parking a car in a busy downtown area for h hours is $20 + $2h.
Which statement is correct?
Answer:
y= 20h + 2
its $20 times the hours for every 2 hours
2. Barnes and Noble bookstore is having a sale. Dr. Mumin's book sells for
$4 per copy. Dan Moyer's book sells for $1 per copy. Leannie spends $23
for 8 books'. How many copies of books from each author did she buy?
measure of each exterior angle of a regular 30-gon?
7. An exterior angle of a regular polygon measures 22.5°. How many sides does it have?
8. An interior
Answer:
I'm not sure would love to help but dont know the answer
Tyler sold a total of $115,000 of exercise equipment last month. If his commission is 6.5% of sales, how much commission did he earn?
A.
$2,342
B.
$7,475
C.
$12,719
D.
$115,065
Answer:
B
Step-by-step explanation:
Do 115000/100x6.5 You get 7.475k
Where can we use linear inequalities in real life?
Step-by-step explanation:
we can use it to solve age problems and Money problems e.t.c
-7r^2= -329 square root property
9514 1404 393
Answer:
r = ±√47
Step-by-step explanation:
-7r^2 = -329 . . . . given
r^2 = 47 . . . . . divide both sides by -7 (multiplication property of equality)
r = ±√47 . . . . square root both sides (square root property of equality)
Answer:
This is what I got.
Step-by-step explanation:
prove that the points A(1 , -1 ) B(5, 2) C(9, 5) are collinear.
Answer:
AB= [tex]\sqrt(5-1)^2 +(2+1)^2 = \sqrt16+9 =5[/tex]
BC= [tex]\sqrt(5-9)^2 + (2-5)^2 = \sqrt16+9=5[/tex]
AC = [tex]\sqrt(1-9)^2 + (-1-5)^2 = \sqrt64+36 = 10[/tex]
So, AC = AB + BC
A, B, C are collinear points
Step-by-step explanation:
I hope this helps!
please help, ill give brainliest
Answer:
hope this help you......
If a dog eats 1/4 pound of food each day, how many days will it take the dog to eat a 5 pound bag of food?
Answer:
20 days
Step-by-step explanation:
0.25 pound of food is eaten in 1 day
1 pound of food is eaten in 1 / 0.25
5 pound of food is eaten in 5/0.25 = 20 days
Find the distance using the modulus of the difference between z1 = -8 + 3i and z2 = 7 - 4i.
Answer:
[tex]d = 16.55[/tex]
Step-by-step explanation:
Given
[tex]z_1 = -8 + 3i[/tex]
[tex]z_2 = 7 - 4i[/tex]
Required
The distance between them
First, calculate the difference (d) between z1 and z2
[tex]d = z_1 - z_2[/tex]
[tex]d = -8 + 3i - [7 - 4i][/tex]
Open bracket
[tex]d = -8 + 3i - 7 + 4i[/tex]
Collect like terms
[tex]d = -8 - 7+ 3i + 4i[/tex]
[tex]d = -15+ 7i[/tex]
Using modulus, we have:
[tex]d = \sqrt{R^2 + I^2}[/tex]
Where
R = Real Part = -15
I = Imaginary Part = 7
So, we have:
[tex]d = \sqrt{(-15)^2 + 7^2}[/tex]
[tex]d = \sqrt{225 + 49}[/tex]
[tex]d = \sqrt{274}[/tex]
[tex]d = 16.55[/tex]
In triangle ABC, m∠A=(2x+2)∘, m∠C=54∘, and the exterior angle at B is (4x)∘.
Triangle A B C. Angle A is 2 X plus 2 degrees, angle C is 54 degrees, & the exterior angle at B is 4 X degrees.
What is the measure of angle A?
58∘
112∘
28∘
68∘
Answer:
58°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the two remote interior angles.
m∠A + m∠C = measure of exterior angle at B
2x + 2 + 54 = 4x
2x + 56 = 4x
2x = 56
x = 28
m∠A = 2x + 2 = 2(28) + 2 = 56 + 2 = 58°
Answer:
A
Step-by-step explanation:
Remark
<A + <C = the exterior angle.
Two remote interior angles = the exterior angle that neither connects to.
Remote means that the angles do not share any line in common with the remote angle. One of them might share a line extended with the exterior angle.
Equation
<A + <C = Remote angle connected to the supplement of B
Givens
m<A = 2x + 2
m<C = 54
Remote angle = 4x
Solution
2x + 2 + 54 = 4x Combine like terms on the left
2x + 56 = 4x Subtract 2x from both sides
56 = 4x - 2x
2x = 56 Divide by 2
x = 56/2
x = 28
Answer
<A = 2x + 2
<A = 2*28 + 2
<A = 56 + 2
<A = 58
In a random sample of 10 residents of the state of Florida, the mean waste recycled per person per day was 2.1 pounds with a standard deviation of 0.59 pounds. Determine the 98% confidence interval for the mean waste recycled per person per day for the population of Florida. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
hey guys i'm having a rough night and i can't figure out my homework rn i'm just too stress please help
Answer:
4a) Irrational
Step-by-step explanation:
The square root of 20 is irrational. There is no number that can multiplied by itself to equal 20.
For a better explanation, the square root of 25 is rational. 5 can be multipled two times to be equivalent to it. Meanwhile, 20 can't.
awnser plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
x = 12, x = -4.
Step-by-step explanation:
x² - 8x - 48 = 0.
This factors to (x - 12)(x + 4) = 0.
Proof:
(x - 12)(x + 4) = 0
first: x * x
outer: 4 * x
inner: -12 * x
last: -48.
first: x²
outer: 4x
inner: -12x
last: -48
x² + 4x - 12x - 48
x² - 8x - 48.
To find the zeros, take the individual pairs and find the values that make the equation 0.
x - 12 = 0
Add 12 to both sides.
x = 12.
x + 4 = 0
Subtract 4 from both sides.
x = -4.
Answer:
x= 4 + 2√5, x = 4 - 2√5
Step-by-step explanation:
So this is quadratics so you can solve it by completing the square and using the quadratic formula. The quadratic formula is x = (-b±√(b²-4ac)) / (2a).
Please help me with this real quick
Answer: 7.5 miles
Step-by-step explanation:
think of it as a triangle; the bold line is the hypotenuse, or x.
8 |\ x
|_\ it's not a good triangle but you get the point
6
and then get out pythagorean theorem: a^2+b^2=c^2
put the numbers in: 8^2 + 6^2 = x^2
do some math:
64+36=x^2
100=x^2 (and then find square root)
10=x
BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5
The lifetime of a certain type of calculators is normally distributed. If the mean is 400 hours and the standard deviation is 50 hours, for a group of 5000 batteries, how many are expected to last
1.between 350 hrs to 450 hours
2.more than 300 hours
3.less than 300 hours
Answer:
1. 3413
2. 4886
3. 114
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean is 400 hours and the standard deviation is 50 hours
This means that [tex]\mu = 400, \sigma = 50[/tex]
1. Between 350 and 450 hours:
The proportion is the pvlaue of Z when X = 450 subtracted by the pvalue of Z when X = 350.
X = 450:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{450 - 400}{50}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413.
X = 350:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{350 - 400}{50}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587.
0.8413 - 0.1587 = 0.6826
Out of 5000:
0.6826 out of 5000. So
0.6826*5000 = 3413
3413 are expected to last between 350 hours and 450 hours.
2.more than 300 hours
The proportion is one subtracted by the pvalue of Z when X = 300.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{300 - 400}{50}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
1 - 0.0228 = 0.9772
Out of 5000:
0.9772of 5000 is
0.9772*5000 = 4886
4886 are expected to last more than 300 hours.
3.less than 300 hours
4886 are expected to last more than 300 hours, so 5000 - 4886 = 114 are expected to last less than 300 hours.
PLZZZ HELP!!!!!!!!!1
What is the median and Q1 of the data set represented on the plot?
Median = 30; Q1 = 20
Median = 33; Q1 = 20
Median = 30; Q1 = 25
Median = 33; Q1 = 25
Answer:
i cant put the picture
Step-by-step explanation:
d. Median=33;Q1=25 the median is represented by the line in between the two boxes. Q1 is represented by the line on the far left of the box in the picture Q1 is marked for quadrent 1 and m is for median
Pls help! ASAP! I will mark Brainliest! If you give me a file or guess I will report you!
Answer:
the second and last one
....................
3. Two squares were used to form the following figure. What is the area of the shaded region?
A 24 m2
B 64 m2
C132 m2
D 196 m²
PLEASE HURRY
10 ft 8 ft Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate pie
Answer:
10ft · (8ft) = 80 [tex]f^ {2} t^{2}[/tex]
3.14 = 80 [tex]f^{2} t^{2}[/tex]
Step-by-step explanation:
Solve the following equation for x. x^2 - 36 = 0
A. x=1 x=-36
B. x=-1 x=36
C. x=-6 x=6
D. x=-18 x=18
Answer:
The answer is C.x=6,x=-6
Step-by-step explanation:
Greetings!
x²-36=0x²-36+36=0+36.. add 36 both sidesx²=36... simplifyAn assumption
"In general, all equations of the form x² = a, where a is a positive number, will always give two solutions, namely x = - √a or x = √a."
Thus,
x= √ 36, x= - √ 36x=6, x=-6$265 worth of tickets were sold
Adult tickets cost $6
Child tickets cost $2.50
57 tickets were sold
Let x represent the number of adult tickets sold. Let y represent the number of child tickets sold.
Which equations represent the scenario? Select two equations.
Answer:
A and F, x=35
Step-by-step explanation:
The correct answers are :
A ) x + y = 57
F) 6x + 2.5ʏ = 265
Help pleaseeeeeeeeeeee
Answer;
Mark traveled at the highest velocity to Charleston
89.5, 71, 75, 76, 74, 87, 89, 71, 85
mode = ?
Answer:
mode of this question is 71
Answer:
71
Step-by-step explanation:
because mode is the number that occurs most frequently
Simplify the polynomial, then evaluate for x = 2 . x + 3x ^ 2 + 2x - 3 - 4x ^ 2 + 6
Answer:
-x^2+3x+3
Step-by-step explanation:
if the evaluated answer is correct (but my answer above is correct) it would be -4+6+3 then the answer would be 5 but I am not sure