Answer:
10 cents : 1 ball
Step-by-step explanation:
$2.00 : 20 balls = $1.00 : 10 balls = 100 cents : 10 balls = 10 cents : 1 ball
Find the volume of the region bounded by z=12−y,z=y,y=x2, and y=6−x2. (Use symbolic notation and fractions where needed.)
Answer:
The volume V of the region = 80
Step-by-step explanation:
The objective is to find the volume of the solid region bounded by z = 12 - y
Given that the portion of solid between the planes z = 12 - y and z = y; over the region R in the xy - plane bounded by y = x² and y = 6 - x²
Thus; R = { (x,y)/-2 ≤ x ≤ 2, x² ≤ y 6 - x² }
Then the volume is computed as follows:
[tex]V = \int \int_R [(12 -y) -y] \ dy. dx[/tex]
[tex]V = \int^2_{-2} \int ^{6-x^2}_{x^2} (12-2y) \ dy \ dx[/tex]
[tex]V = \int^2_{-2}[ (12y-y^2]^{6-x^2}_{x^2} \ dx[/tex]
[tex]V = \int^2_{-2} \begin {bmatrix}{ 12 [6-x^2-x^2] - [(6-x^2)^2-(x^2)^2] \end {bmatrix} \ dx[/tex]
[tex]V = \int^2_{-2} \begin {bmatrix}{ 12 [6-2x^2] - [36-12x^2]] \end {bmatrix} \ dx[/tex]
[tex]V = \int^2_{-2} \begin {bmatrix}{ 72 -24x^2-36+12x^2 \end {bmatrix} \ dx[/tex]
[tex]V = \int^2_{-2} [36-12x ^2] \ dx[/tex]
[tex]V = \begin {bmatrix} 36x - \dfrac{12x^3}{3}\end {bmatrix}^2_{-2}[/tex]
[tex]V =2 \begin {bmatrix} 72 - \dfrac{96}{3}\end {bmatrix}[/tex]
V = 80
HELP !! It’s due in 30 minutes!!
Answer:
T< 11,3 > / a translation by 11 units to the right and 3 units up :]
Answer:
11 units to the right & 3 units down.
The net of a triangular prism is shown.
What is the surface area, in square inches, of the triangular prism?
Answer:
The surface area would be 198² in.
Help????
I have to turn this innn
Answer:
The answer is -12
Step-by-step explanation:
Because if X=3 and it was -X4 times then it is 3x4 which equals 12 then add the negative back to the answer you get -12
Answer:
The answer is -81
Step-by-step explanation:
..........
if jeremiah has a course average score between 80 and 89, he will earn a grade of B in his history class. He has four previous exam scores of 69, 78, 81, and 92. The final exam score has twice the weight of each of the other exams. What range of scores on the final exam will earn Jeremiah a B in the course?
Answer:
The range of scores that can earn Jeremiah a B in the course is 80 - 100
Step-by-step explanation:
Average = total scores/number of exams
For an average of 80, considering the final score has twice the weight of the previous exams;
Note: since the final score has twice the weight of previous exams, it is considered a double score and counted twice
Let the lowest final score for a B grade be y
80 = (69 + 78 + 81 + 92 + 2 * y)/6
80 * 6 = (320 + 2y)
2y = 480 - 320
y = 160/2
y = 80
Let the highest final score for a B grade be z
89 = (69 + 78 + 81 + 92 + 2 * z)/6
89 * 6 = (320 + 2z)
2z = 534 - 320
z = 214/2
z = 107
Since, the highest score in the exam cannot exceed 100,
Therefore, the range of scores that can earn Jeremiah a B in the course is 80 - 100
Heeeeeeeeeellllllllllllppppppppp
A bead store buys beads at wholesale prices to sell them at a 75% markup. If a strand of beads costs the store $9.14, what is the selling price for a strand of beads
Answer:
it would sell for $15.99
Step-by-step explanation:
9.14(1.75) = 15.99
Jeremy earns $9.75 per hour at his after school job.
Write an equation to find the total number of hours, h,
Jeremy worked if he earned $126.75 last week.
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
y= 4x+12
Step-by-step explanation:
Slope of this line: 4
So we can write in point slop form: y+1= 4(x+3)
Simplify = y+1=4x+12
More simplifying: y=4x+12
This is the answer
ANSWER THIS PLS (A.) how is your day (B.) what's your beast threat/roast
Answer:
Some one called me the b word and I said at least I’m cute dog you look like a frog
Step-by-step explanation:
Answer:
My day is good, thank you! My best roast for thanksgiving is chicken on top of veggies!
Step-by-step explanation:
HELP WILL GIVE BRANLIEST AND EXTRA POINTS! Please give an explanation
Answer:
C. 82/3 is the correct answer
Step-by-step explanation:
A. √27 is incorrect because it is equal to 5.2
B. 5^2 is incorrect because it is equal to 25
D. √602 is incorrect because it is equal to 24.5
soooo...
The only correct answer is C. 82/3 because it equals 27 1/3 or 27.3
Hope this helps!
What i te value of x in this equation 4x = 5x - 15?
Answer:
15
Step-by-step explanation:
[tex]4x - 5x = - 15[/tex]
[tex] - x = - 15[/tex]
[tex]x = 15[/tex]
i think this is the answer
Ben bought a 2 pizza for $20.40, and a brownie for $5.40, and a chocolate milkshake for $6.50 with extra chocolate, he also payed $10 for tips. He had $60 to spend, how much did he have balance?
Answer:
$17.70
Step-by-step explanation:
Total money he has - $60
2 pizzas, a brownie = $20.40 + $5.40 = $25.80
A milkshake with $10 tips = $6.50 + $10 = $16.50
Totally = $25.80 + $16.50 = $42.30
Balance - $60 - $42.30 = $17.70
He had $17.70 balance
Hope you understand
:-)
Bob throws a fair four-sided die, after which Alice throws a fair and independent six-sided die. What is the probability that they obtain the same number?
Answer: 1/6.
Step-by-step explanation:
The possible outcomes of Bob are {1, 2, 3, 4}
The possible outcomes of Alice are {1, 2, 3, 4, 5, 6}
Notice that the outcome space of Bob is included in the outcome space of Alice.
Now, Bob rolls his dice and gets an outcome between 1 and 4, let's suppose that the outcome is a 2.
Now, Alice needs to roll a 2 in her 6-sided dice.
The 2 appears one time, and there are 6 possible outcomes:
The probability will be equal to the probability for each number, this i:
P = 1/6.
And will be the same for any outcome in Bob's roll, so the probability that they obtain the same number is 1/6.
Help pleasee! I need to find the domain and range
Answer:
Domain: (-∞, -4) U (-4,∞)
range: (0,∞)
Where d you like to go
Answer:
the park
Step-by-step explanation:
Answer:
Your mom's house
Step-by-step explanation:
Please help me Study the Venn diagram.
A Venn diagram. A large box is labeled rational numbers. A box inside the rational numbers box is labeled integers. A box inside the integers box is labeled whole numbers.
Which statement is correct?
–5 cannot be written as a fraction, so it is not rational.
–5 is a rational number, but not an integer.
–5 is a counting number, so it is also a whole number.
–5 is an integer, but not a whole number.
Answer:
Its a counting number and a whole number so thirdd one
Step-by-step explanation:
Answer:
D-5 is an integer, but not a whole number.
got that right on edge!
Step-by-step explanation:
hope this helps:)
What is the value of x in the equation 3x - y = 18, when y = 27? 5 7 0 45 63
Answer:
x=15
Step-by-step explanation:
3x-27=18
3x=18+27
3x=45
x=45/3
x=15
Answer:
ITS 7
Step-by-step explanation:
I got the other ones wrong and i checked what was the correct answer and it said it was 7
Find the sum of 2 1/9 + (-2/9) + 3 5/9
Answer:
5 4/9
Step-by-step explanation:
Answer:
Exact Form:
49 /9
Decimal Form:
5. 4 repeating
Mixed Number Form:
5 4 /9
Step-by-step explanation:
Newly purchased automobile tires of a certain type are supposed to be filled to a pressure of 30 psi. Let μ denote the true average pressure. Find the P-value associated with each of the following given z statistic values for testing H0: μ = 30 versus Ha: μ 30 when σ is known. (Give the answers to four decimal places.)
Complete Question
Newly purchased automobile tires of a certain type are supposed to be filled to a pressure of 30 psi. Let μ denote the true average pressure. Find the P-value associated with each of the following given z statistic values for testing H0: μ = 30 versus Ha: μ 30 when σ is known. (Give the answers to four decimal places.)
calculate for each
(a) z = 2.30
(b) z = -1.7
Answer:
a
[tex]p-value = 0.021448[/tex]
b
[tex]p-value = 0.08913[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 30 \ psi[/tex]
The null hypothesis [tex]H_o : \mu = 30[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 30[/tex]
Considering question a
Here the test statistics is (a) z = 2.30
From the z table the probability of (Z > 2.30) is
[tex]P(Z > 2.30 ) = 0.010724[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 2.30 )[/tex]
=> [tex]p-value = 2 * 0.010724[/tex]
=> [tex]p-value = 0.021448[/tex]
Considering question b
Here the test statistics is (a) z = -1.7
From the z table the probability of (Z < -1.7) is
[tex]P(Z < -1.7 ) = 0.044565[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z < -1.70 )[/tex]
=> [tex]p-value = 2 * 0.044565[/tex]
=> [tex]p-value = 0.08913[/tex]
two apples and 5 bananas cost 4.20
three apples and seven bananas cost 5.95
there are 5,280 feet in 1 mile if Riley ran 26,400 feet how many miles did she run
Answer:
Riley ran 5 miles (26400 / 5280= 5)
Step-by-step explanation:
5280 times 5 equals 26400.
Answer:
5 miles
Step-by-step explanation:
26400/5280=5
The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 270 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours
Answer:
The answer is below
Step-by-step explanation:
The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 270 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours b) What are the quartiles (the 25% and 75% values) of batterylife? c) c) What value of life in minutes is exceeded with 95% probability? (Roundthe answer to the nearest integer.)
Solution:
The z score is used to determine by how many standard deviations the mean is above or below the raw score. If the z score is positive then the raw score is above the mean while if the z score is negative then the raw score is below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu=mean, \sigma=standard\ deviation[/tex]
Given μ = 270 minutes, σ = 50 minutes
a)
P(x > 4 hours) = P(x > 240 minutes)
[tex]z=\frac{x-\mu}{\sigma}\\ \\z=\frac{240-270}{50} =-0.6[/tex]
From the distribution table, P(x > 240) = P(z > -0.6) = 1- P(z < 0.6) = 1 - 0.2743 = 0.7257
c) P(z > z*) = 0.95
1 - P(z < z*) = 0.95
P(z < z*) = 0.05
This corresponds to a z score of -1.645
[tex]z=\frac{x-\mu}{\sigma}\\ \\-1.645=\frac{x-270}{50} \\\\x=187.75 \ minutes[/tex]
For 75%, P(z < z*) = 0.75
This corresponds to a z score of 0.68
[tex]z=\frac{x-\mu}{\sigma}\\ \\0.68=\frac{x-270}{50} \\\\x=304 \ minutes[/tex]
c) For 25%, P(z < z*) = 0.25
This corresponds to a z score of -0.67
[tex]z=\frac{x-\mu}{\sigma}\\ \\-0.67=\frac{x-270}{50} \\\\x=236.5 \ minutes[/tex]
A nursery has two hundred 7-gallon palm trees to sell, consisting of Coconut Palm trees, x, Saw Palmetto Palm trees, y, and Christmas Palm trees, z. Coconut Palm trees
sell for $75 each, Saw Palmetto Palm trees sell for $45 each, and Christmas Palm trees sell for $30 each. A developer purchases all of the nursery's palm trees for a total
price of $12,300. The nursery has three times as many Saw Palmetto Palm trees as Christmas Palm trees. Write a system of linear equations to represent this situation.
A 2+y+z=7
75x + 45y + 30z = 12,300
y = 32
B. x+y+z= 12,300
75x + 45y + 30z = 200
y = 32
C. 2 + y + z = 200
752 + 45y + 30z = 12,300
y = 32
D. 2+y+z= 200
753 + 45y + 30z = 12,300
z=3y
is it a, b,c or d
Answer:
The answer is option D. Note: the option is not properly formatted
D. x+y+z=200----------------1
75x+45y+30z=12300-------2
z=3y---------------3
Step-by-step explanation:
In this problem, we want to model the expression to represent the situation
let the numbers of trees be
Coconut Palm trees be x,
Saw Palmetto Palm trees be y, and
Christmas Palm trees be z.
total trees =200
x+y+z=200----------------1
also costs are
Coconut Palm trees= $75 each
Saw Palmetto Palm trees = $45 each
Christmas Palm trees =$30 each
cost of all trees =$12,300
75x+45y+30z=12300----------------------2
z=3y---------------3
The system of equation is
x+y+z=200----------------1
75x+45y+30z=12300-------2
z=3y---------------3
8w - 4 = 28
It's a two step equation
Answer: w = 4
Step-by-step explanation:
8w - 4 = 28
+4 = 32
8w = 32
/8 /8
w = 4
Answer:
w = 4
Step-by-step explanation:
Given: 8w - 4 = 28
Add 4 to both sides: 8w = 32
Divide both sides by 8 to isolate w: w = 4
Round 683,492 to the nearest hundred thousand,
A. 600,000
B. 683,000
C. 680,000
D. 700,000
Plz hurry
Answer:
since you're rounding to the hundred thousand, it would round up to the 4th option as 683,492 is closer to 700,000 than 600,000
418.42 plus 13.587 i do not know the answer and I am not very good at math because of family problems. thats not the point but i need help.
Answer:
432.007Step-by-step explanation:
418 + 13 = 431
0.42 + 0.587 = 1.007
431
+ 1.007
432.007
Hope this helps! <3
6. At 7:00 a.m., the temperature outside was 10°F below zero. By noon, it
rose by 17°F. At 6:00 p.m., the temperature dropped by 6°F. What was the
evening temperature? *
0 -33°F
O 13°F
O 1°F
O 33°F
Answer:
1° F
Step-by-step explanation:
10° below zero is equivalent to -10°.
Then if you add 17° to that, then you get 7°.
Then subtract 6°, giving you a final answer of 1° F
solve for b: 8ab=c thanks (:
Answer:
You must move the a and 8 to the other side of the equation. Just divide both sides by 8a.
B = c \ 8a.. c over 8a
The value for b is c/8a.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
8ab=c
Now, solving for b
8ab= c
ab= c/8
or, b = c/8a
Hence, the value for b is c/8a.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ2
Please help with question 1 im confused
Answer:
Subtract 9m from both sides of the equation.
Step-by-step explanation:
