You buy a new yoga ball. The ball has a diameter of 26 inches. What is the volume of the ball? Use 3.14 for pi. Round your answer to the nearest hundredth.
Answer:
The volume of the ball is [tex]9,198.11\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of a sphere (yoga ball) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
In this problem we have
[tex]r=26/2=13\ in[/tex] -----> the radius is half the diameter
substitute
[tex]V=\frac{4}{3}(3.14)(13^{3})=9,198.11\ in^{3}[/tex]
Write the standard equation for a circle with center (−6, −8), that passes through (0, 0)
Javier is comparing two checking accounts. One has a monthly fee of $10 and a per-check fee of $0.10, and the other has a monthly fee of $12 and a per-check fee of $0.05. What is the minimum number of checks Javier needs to write for the second bank to be a better option?
Answer:
41 is the answer for this question. Hope this helps.
Step-by-step explanation:
(apex)
A carpenter earns $18 an hour for a regular work week (40) hours. He earns time and a half for overtime. The weekly wage function is W(h)={ 18h 040} where h is the number of hours worked for the week. Find the wage if the carpenter worked 42.5 hours in the week
Final answer:
To find the carpenter's weekly wage after working 42.5 hours, we calculate the regular pay for 40 hours at $18 per hour, which is $720, and then add the earnings from 2.5 hours of overtime at time and a half ($27 per hour), which is $67.5. The total weekly wage is $787.5.
Explanation:
To calculate the weekly wage of the carpenter who worked 42.5 hours, with $18 per hour for the first 40 hours and time and a half for overtime, we will use the wage function provided: W(h) = 18h for hours up to 40, and for hours above 40, it's (18 × 1.5) × (h - 40). Let's apply this to the 42.5 hours worked.
The carpenter's earnings for the regular 40 hours are $720 (which is 40 hours × $18). For the 2.5 hours of overtime, he earns time and a half, which is $27 per hour (18 × 1.5). The overtime earnings are $67.5 (2.5 hours × $27). So, the total wage is:
$720 + $67.5 = $787.5
Therefore, the carpenter's weekly wage for working 42.5 hours at the given rate is $787.5.
Which number supports the given conjecture?
If a number is divisible by both 3 and 4, then the number is also divisible by 6.
A.
18
B.
42
C.
48
D.
64
what is the volume , in cubic units , of a pyramid of height 8 and a square base of length 15?
Multiply the binomial and find the coefficients
(X+y)^1=__×+__y
(×+y)^2=__x^2+__xy+__y^2
(X+y)^3=__×^3+__×^2y+__y^3
(×+y)^4=__×^4+__x^3y+__x^2y^2+__xy^3+__y4
A recipe for cake calls for 5.25 deciliters of milk. How many liters of milk are needed for the cake?
A school did a survey among 100 students to find their sports preferences. The students were asked about their preferences for soccer or volleyball. Out of the total 80 people who liked soccer, 30 also liked volleyball. There were 45 people who liked volleyball.
Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points)
Like soccer
Do not like soccer
Total
Like volleyball
A
D
G
Do not like volleyball
B
E
H
Total
C
F
I
Part B: What percentage of the survey respondents did not like either soccer or volleyball? (3 points)
Part C: Do the survey results reveal a greater dislike for soccer or volleyball? Justify your answer. (2 points)
HELPPPPPPPPPPPPP and explain
Need help to write equations for 5, 6 & 7
A jar contains 30 red marbles, 50 blue marbles, and 20 white marbles. you choose one marble from the jar at random. what is the theoretical probability of choosing a white marble?
Write a formula for the sum of the first n terms in this series.
Need help on this question
the perimeter of this figure is 42.5 cm. Find the area of this figure.
Answer:
72.25
Step-by-step explanation:
I just took the test and got it correct
What is the sum os the interior angles of the polygon?
What is the y-intercept of the function f(x) = –2/9 + 1/5
Please explain “ write the equation of the perpendicular bisector of rs point r is located at (-1,3) and point s is located at (3,1) “
1/2g^2 + 7/2 + 3g^2- 4/5g + 1/4
The expression [tex]1/2g^2 + 7/2 + 3g^2 - 4/5g + 1/4[/tex]5/4 by combining like terms, which include the [tex]g^2[/tex]s and the constants.
Explanation:The student's question involves combining like terms and simplifying a polynomial expression in mathematics. The expression provided is [tex]1/2g^2 + 7/2 + 3g^2 - 4/5g + 1/4.[/tex]ed to combine like terms, which involves adding or subtracting the coefficients of terms with the same degree.
First, combine the g2 terms (1/2g2 + 3g2) to get 7/2g2. Next, the constant terms (7/2 + 1/4) are combined to yield 15/4. The term with g, which is -4/5g, does not have a like term, so it remains as it is. After combining like terms, the simplified expression is 7/2g2 - 4/5g + 15/4.
In a certain population, 95% of the people have rh-positive blood. suppose that two people from this population get married. what is the probability that they are both rh-negative, thus making it inevitable that their children will be rh-negative? web assign answer
Final answer:
The probability that both partners in a marriage are Rh-negative in a predominantly Rh-positive population is 0.25% or 1 in 400, critical for understanding the risk of hemolytic disease of the newborn in subsequent pregnancies.
Explanation:
The probability that both people in a marriage are Rh-negative in a population where 95% of the people are Rh-positive is calculated using the complement. Assuming that 5% of the population is Rh-negative, we would calculate the probability that both parents are Rh-negative by multiplying the individual probabilities:
P(both Rh-negative) = P(one Rh-negative) × P(other Rh-negative) = 0.05 × 0.05 = 0.0025
Therefore, the probability that both people are Rh-negative, and thus all of their children would also be Rh-negative, is 0.25% or 1 in 400.
Rh factor and blood type compatibility are crucial in reproduction and transfusion medicine. Understanding these concepts can help prevent complications such as hemolytic disease of the newborn, which occurs during second or subsequent pregnancies due to sensitization of the Rh-negative mother's immune system to Rh-positive fetal cells from a previous pregnancy.
A teacher asked her students to divide a large number by 50.
• Aslan divided the number by 50.
• Lucy divided the number by 5 and then divided the answer she got by 10.
• Jack divided the number by 10 and then divided the answer he got by 40.
Who among these got the correct answer assuming they did NOT make mistakes in division?
Answer:
c
Step-by-step explanation:
Aslan and Lucy got the correct answer of x/50, while Jack made a mistake in his calculation.
Explanation:To find out who got the correct answer, we need to evaluate the division calculations of each student. Let's assume the large number is 'x'.
Aslan divided the number by 50, so his answer is x/50.
Lucy divided the number by 5 and then divided the answer by 10, so her answer is (x/5)/10 = x/50.
Jack divided the number by 10 and then divided the answer by 40, so his answer is (x/10)/40 = x/400.
Therefore, both Aslan and Lucy got the correct answer of x/50, while Jack made a mistake in his calculation.
Learn more about Division here:https://brainly.com/question/37843448
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PLEASE HELP AS SOON AS POSSIBLE!!!!!!!!!!!!!!!!!! |r+3| ≥7 solve the inequality (please show work and steps )
PLEASE HELP!!!!!!!!!!!!!!!!! What is the simplified form of the expression k^3(k^7/5)^-5
A. k^4
B. 1/k^1/4
C. k^1/4
D. 1/k^4
What is the sum or difference 6x^7+8x^7
The sum of the expressions 6x^7 and 8x^7 is 14x^7. This follows the simple rule of addition with similar terms, where the coefficients are added together while the variable remains the same.
Explanation:The sum of 6x7 and 8x7 follows the usual rules of addition, it treats similar terms in a similar way to ordinary numbers. To combine these expressions, you simply add or subtract the coefficients (the number parts), while keeping the variables (the letter parts) the same. In this case, the variable is x7. Thus, adding the coefficients 6 and 8 gives you 14, and you keep the x7 the same. The sum is therefore 14x7.
Learn more about Adding Polynomials here:https://brainly.com/question/30136851
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If ΔGET≅ΔMAP, then what corresponding parts are congruent? segment TG and segment AM ∠T and ∠P segment MP and segment ET ∠E and ∠M
Answer:
2nd Option is correct that is ∠T and ∠P.
Step-by-step explanation:
We are given that ΔGET ≅ ΔMAP
We need to find Congruent part from the given options.
Since, we are given the figure of the congruent triangles with marking not any instruction with which vertex is congruent to which vertex.
So, The Given Name of the Congruent triangle.
We deduce that
G ↔ M
E ↔ A
T ↔ P
Using this we get following congruent parts,
GE ≅ MA , GT ≅ MP and ET ≅ AP
∠G ≅ ∠M , ∠E ≅ ∠A and ∠T ≅ ∠P.
Therefore, 2nd Option is correct that is ∠T and ∠P.
Answer:
∠T and ∠P
Step-by-step explanation:
Henry can write 5 pages of his novel in 3 hours. at this rate, how many pages can henry write in 888 hours?
"when the population standard deviation is unknown, sample size is less than 30, and the population has a normal or near-normal distribution"
ANYONE WHO KNOWS SURFACE AREA!!!
I need help urgently!
92.4 is 150% of what number?
Answer:
Number is 61.6
Step-by-step explanation:
Given : 92.4 is 150%.
To find : what number.
Solution : We have given 92.4 is 150%.
Let the number = x
According to question :
150% of x = 92.4
[tex]\frac{150}{100} *x[/tex] = 92.4
On multiplying both sides by 100
150 x = 92.4 * 100.
150 x = 9240
On dividing both sides by 150 .
x = [tex]\frac{9240}{150}[/tex].
x = 61. 6
Therefore, Number is 61.6
The function f(x) = 12x + 50 gives the amount of money a worker earns for working x hours per week. What is the inverse function?