Answer:
1(hr):33(min):45(sec)
Step-by-step explanation:
If a great circle of a sphere has an area of 64 pi square inches, find the volume of sphere.
Answer:
2144.66058485 in³
Step-by-step explanation:
If the area is 64π in², and A = πr², then 64π=πr²
r = √64
r = 8 in
V = 4/3×π×r³
V = 4/3×π×8³
V = 2144.66 in³
A force of F pounds is required to pull an object weighing W pounds up a ramp inclined at θ degrees from the horizontai. Find θ if 5
=5.200 pounds and W=15.000. a. 213 ∘
b. 18.3 ∘
c. 19.3 ∘
d. 223 ∘
1e. 203 ∘
Using a calculator or trigonometric table, the correct answer is option
c.θ ≈ 19.3 degrees
To find θ, we can use the formula for the force required to pull an object up a ramp:
F = W × sin(θ)
Given that F = 5.200 pounds and W = 15.000 pounds, we can substitute these values into the equation:
5.200 = 15.000 × sin(θ)
To isolate sin(θ), we divide both sides by 15.000:
5.200 / 15.000 = sin(θ)
0.3467 = sin(θ)
Now, we need to find the angle whose sine is approximately 0.3467. We can use the inverse sine function (also called arcsin or sin⁽⁻¹⁾ to find the angle:
θ ≈ arcsin(0.3467)
Using a calculator or trigonometric table, we find:
θ ≈ 19.3 degrees
Therefore, the correct answer is c. 19.3 ∘.
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The value of a baseball player's rookie card began to increase once the player retired. When he retired in his card was worth $. The value has increased by $ each year since then. Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation. Is the relationship between x and y proportional? What was the value of the card in ?
No, x an y are not proportional and the value of card in 2006 is $38.05.
Given that when the value of card was $8.24 and the value has increased by $2.71 each year.
We are required to find the value of card in 2006 and tell whether the relationship between x and y are proportional or not.
When he retired in 1995, the value of card=$8.24
Value increased each year=$2.71
y=Value of card
x is number of years from the year of retirement
According to question, the equation will be as under:
y=2.71x+8.24
We have to use the value of x be 1 in the above equation.
y=2.71*1+8.24
y=2.71+8.24
y=10.95
Substituting x=2 in the equation.
y=2.71*2+8.24
y=13.66
If x and y are proportional then,
\(x_{1} /y_{1} =x_{2} /y_{2}\)=k=constant
1/10.95≠2/13.66
To find the value of card in 2006 we have to put the value of x=11 in the equation.
y=2.71*11+8.24=38.05
Hence x and y are not proportional and the value of card in 2006 is $38.05.
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Question is incomplete as the following should be included:
The value of card was $8.24 and we have to find the value of card in 2006.
use the explicit formula to find the 10th term of the following sequence:
1, 5, 25, 125, ...
Answer: 1,953,125
Step-by-step explanation: Multiplying each by 5. 1, 5, 25, 125, 625, 3,125, 15,625, 78,125, 390,625, 1,953,125
The following statement(s) is an example of:
All prime numbers greater than 2 are odd. 37 is a prime number. Therefore,
37 is odd..
conjecture
inductive reasoning
None of the other answers are correct
O counterexample
O deductive reasoning
While walking in her neighborhood, Ashley found 3 dimes and 4 pennies on the ground. What percent of a dollar did Ashley find?
Answer:
34%
Step-by-step explanation:
Dime = 10 cents, 10% of a dollar
Penny = 1 cent, 1% of a dollar
3 dimes = 30% of a dollar
4 pennies = 4% of a dollar
30% + 4% = 34%
Find the area in quare centimeter of a rectangular orchard 3. 28m long and 75mm wide
Answer:
24.6 cm^2
Step-by-step explanation:
3.28m = 328 cm
75mm = 0.075 cm
Area of rectangle: L x W
328 times 0.075 = 24.6 cm^2
the most recent earthquake in texas reached a magnitude of 3.3 on the richter scale. determine the seismograph reading of the earthquake. using M(I)=log (I/.001)
The seismograph reading of the earthquake is approximately 1.99526.To determine the seismograph reading of the earthquake with a magnitude of 3.3 on the Richter scale, we can use the formula M(I) = log(I/0.001), where M(I) represents the magnitude and I represents the intensity of the earthquake.
In this case, we are given the magnitude of 3.3. Let's substitute this value into the formula and solve for I:
3.3 = log(I/0.001)
To isolate I, we need to convert the equation into exponential form:
10^(3.3) = I/0.001
Simplifying the equation, we have:
I = 10^(3.3) * 0.001
Using a calculator, we find that 10^(3.3) is approximately 1995.26.
So, the seismograph reading of the earthquake is:
I = 1995.26 * 0.001
≈ 1.99526.
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Dilate quadrilateral MASH by a scale factor of
12 / 2
and write the coordinates of M', A', S' and H.
Geometry
Answer:
take all the x and y values of all the points of mash and multiply them by 6 to get the answer. Hope this helps! <3
Step-by-step explanation:
Luke bought a new jacket using a 10% off coupon. He paid $12.93 total, which inclues $1.43 in tax.
Answer:
($14.37 was the original price)
Step-by-step explanation:
3. for questions 3-5, complete the missing values in each table below using the graph
The missing values are derived from the graph as follows:
3 ) 7, 14, 21, 28, 35
4) 3, 7, 10, 14, 17
5) 1, 21, 10, 49, 19
What is a graph?In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.
In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:
F(y) = 3.5x
In the first table, where x = 2
y= 3.5 *2
= 7
This iteration goes on and on and is consistent for all the values.
In the second table,
Where F(y) is known, for example 10.5, then x is derived as:
10.5 = 3.5x (divide both sides by 3.5)
x = 3
This iteration goes on and on and is consistent for all the values.
In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.
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anyone know the answers to 13, 14, 15, 16
Let x be a binomial random variable with p = 0.1 and n = 10. calculate the following probabilities
The probabilities from the binomial probability mass function P(x ≤ 2) will be 0.9298.
What is binomial distribution?Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as
\(\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}\)
q = 1 - p = 1 - 0.10 = 0.90
Let x be a binomial random variable with p = 0.1 and n = 10.
The probabilities from the binomial probability mass function P(x ≤ 2) will be
P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)
P(x ≤ 2) = ¹⁰C₀ × (0.1)⁰ × (0.9)¹⁰ + ¹⁰C₁ × (0.1) × (0.9)⁹ + ¹⁰C₂ × (0.1)² × (0.9)⁸
P(x ≤ 2) = 0.3487 + 0.3874 + 0.1937
P(x ≤ 2) = 0.9298
Your question was incomplete but the complete question is given below.
Let x be a binomial random variable with p = 0.1 and n = 10. Calculate the probability from the binomial probability mass function less than or equal to 2.
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Evaluate the expression 5 . \(x^{3}\) / \(x^{2}\) for x = 2
The value of the expression given is 10.
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, the expression 5·x³/x², where x = 2, we need to find the value of the expression,
5·x³/x²
= 5·x·x·x / x·x
= 5x
Put x = 2
5x = 5·2
= 10
Hence, the value of the expression given is 10.
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A triangle has an angle that measures 10°. The other two angles are in a ratio of 8:9. What are the measures of those two angles?
In a triangle, the measures of those two angles are, 80° and 90°.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
A triangle has an angle that measures 10°.
And, The other two angles are in a ratio of 8 : 9.
Since, The other two angles are in a ratio of 8:9.
So, The value of those two angles are 8x and 9x.
We know that;
The sum of all three interior angles in a triangle is 180°.
So, We can formulate;
⇒ 10° + 8x + 9x = 180°
⇒ 10° + 17x = 180°
⇒ 17x = 180 - 10
⇒ 17x = 170
⇒ x = 170 / 17
⇒ x = 10
Thus, The value of those two angles are,
⇒ 8x = 8 × x = 80°
⇒ 9x = 9 × x = 90°
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A shipping box is in the shape of a rectangular prism. It has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. What is the height of the box?
15 in.
20 in.
300 in.
600 in.
ITS NOT 20 I TOOK THE TEST AND GOT IT WRONG
Answer:
15 in.
Step-by-step explanation:
Volume of rectangular prism = length × width × height
Length = 30 in
Width = 20 in
Height = x
Volume of rectangular prism = 9000 in³
Volume of rectangular prism = length × width × height
9000 = 30 × 20 × x
9000 = 600x
x = 9000/600
x = 15 in
Answer:
15
Step-by-step explanation:
the formula of finding the volume of a rectangular prism is base times height. the base dimensions are 20*30 so its 600 square inches, 9000/600=15.
What does not represent 2/5
Answer:
Step-by-step explanation:
34/35 is much larger than 2/5
1/12 is smaller than 2/5
A number that is the same as 2/5 is 2*5/5*5 = 10/25
There is a common factor in both the numerator and denominator. The common factor is the same (that's what common means in this case)
Express in the form n:1 16:8
Reason:
Start with the ratio 16:8
Then divide both pieces by the GCF 8
16/8 = 2
8/8 = 1
The ratio 16:8 reduces fully to 2:1
The first piece is twice as large as the second piece.
y = -2x+ 1 slope what is the answer I need help with it quick please help guys
Answer:
slope is -2
Step-by-step explanation:
A cube has a volume of (0.75xy)3 cubic centimeters.
What is the volume of the cube expressed as a fraction?
The volume of the cube expressed as a fraction will be 27x³y³ / 64.
Given that:
Volume, V = (0.75xy)³
It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.
The volume of the cube expressed as a fraction is calculated as,
V = (0.75xy)³
V = (3xy/4)³
V = 27x³y³ / 64
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Is the quotient of a rational number and
an irrational number always irrational?
Explain.
HELP ASAP
Answer = No,It can be either rational or irrational.
________________________________
Prroof —
4 ÷ √8 = √2 { Which is an irrational number }
________________________________
Now, Here comes a twist,
We know that — 0 is a rational number.
And, 0 ÷ √56666 = 0 ________________________________
Note—
But, √56666 ÷ 0 = Error ( Lol )
________________________________
Which inequality is true when the value of s is 1
what is 10x10x10 pls help me
Which two intervals account for approximately 60% of Benji’s reading?
NO LINKS AND PLEASE HELP
WILL MARK THE BRAINLIEST
A specialty shop procures several refrigerators for $400 apiece and offers them to customers for $900 each. What is the mark-up, as a percentage?
The mark-up, as a percentage = 125%
What is Markup?
The term "markup" describes the discrepancy between a product's selling price and its actual cost. It is specified as a percentage over the price. In other words, the seller makes a profit when the price of the commodity.
A unit's gross profit, which is the sales price less the cost to create or buy it for resale, is divided by its cost to determine the markup %. The markup percentage is computed as (12 - 8) / 8 and is equal to 50% if an item costs the business $8 to produce but is sold for $12.
Markup percentage=[(selling price - unit cost)/unit cost]*100
Markup percentage= [(900-400)/400]*100=1.25*100
= 125%
So, the mark-up, as a percentage = 125%
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For the quadratic equation 3x^2-18x-21=0, x1 and x2 are the roots. Find:
x1^2+x2^2
|x1-x2|
(x_1+x_2)=-b/a=18/3=6
x_1x_2=c/a=-21/3=-7
So
(x_1+x_2)²-2x_1x_2=x_1^2+x2²x1²+x2²=(6)²-2(-7)=36+14=50(x_1-x_2)²
x1²+x2²-2x_1x250+1464x_1-x_2=8
Answer:
\(x{_1}^2+x{_2}^2=50\)
\(|x_1-x_2|=8\)
Step-by-step explanation:
Given equation:
\(3x^2-18x-21=0\)
Factor to find the roots:
\(\implies 3(x^2-6x-7)=0\)
\(\implies x^2-6x-7=0\)
\(\implies x^2+x-7x-7=0\)
\(\implies x(x+1)-7(x+1)=0\)
\(\implies (x-7)(x+1)=0\)
Therefore:
\(\implies (x-7)=0 \implies x=7\)
\(\implies (x+1)=0 \implies x=-1\)
Therefore, the roots of the quadratic equation are:
\(x = 7,\quad x = -1\)
Let \(x_1 = 7\)
Let \(x_2 = -1\)
\(\implies x{_1}^2+x{_2}^2=7^2+(-1)^2=50\)
\(\implies |x_1-x_2|=|7-(-1)|=8\)
Enter your answers in the boxes to correctly complete this statement. 74. 94×103=
because the number 10³ has
zeros when it is written without an exponent
74. 94×10³= 74940 because the number 10³ has zeros when it is written without an exponent.
Using scientific notation, it's found that the number in standard notation is represented by:
74. 94 × 10³= 74940
Using scientific notation, you can write extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, the result is expressed in scientific notation as variety.
Scientific notation for the following number is:
\(a \times 10^{b}\)
In this problem, the amount is given by:
= 74. 94 × 10³
Hence, applying the multiplication, we have that:
74. 94 × 10³ = 74. 94 × 1000 = 74940
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The statement "P implies Q' is FALSE under which of the following conditions? Choose all that apply. a. P and Q are both true. b. P and Q are both false. c. P is true and Q is false. d. P is false and Q is true.
The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.
The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).
To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.
Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.
Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.
Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.
Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.
Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.
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What is the breakdown of this math problem? 8 2/5 - 6 7/10 =
let's first off, convert the mixed fractions to improper fractions.
\(\stackrel{mixed}{8\frac{2}{5}}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{6\frac{7}{10}} \implies \cfrac{6\cdot 10+7}{10} \implies \stackrel{improper}{\cfrac{67}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}-\cfrac{67}{10}\implies \cfrac{(2)42~~ - ~~(1)67}{\underset{\textit{using this LCD}}{10}}\implies \cfrac{84-67}{10}\implies \cfrac{17}{10}\implies 1\frac{7}{10}\)
For a special movie premiere, the theater owner decided to charge $20 per ticket for the first r rows of the theater and $15 for the remaining rows. 2. Explain how you could find the owner's total income if you knew the value of r and you knew that all tickets were sold. 3. Suppose r=16. A. Find the income in the first r rows if all of the tickets were sold. B. Find the income in the remaining r rows if all of the tickets were sold. C. Find the total income for r=16. 4. Write and simplify an expression for the owner's profit if tickets are priced at $20 per ticket in the first r rows and $15 per ticket in the remaining rows, if all seats are sold. 5. Evaluate the expression you wrote in Question 4 for r=16 and show that the result equals your answer in Question 3c.
Answer & Step-by-step explanation:
2. Total income = Income from first r rows + Income from other last rows
[(Price per first r rows' seat ) x (no of first r rows) x (no of seats per first r row) ] + [ (Price per other last rows' seat ) x (no of last rows) x (no of seats per last row) ]
= [ 20 x (r) x (no of seats per first r row) ] + [ 15 x (other last ie 'total - r' rows) x no of seats per last row
3. 20 x 16 x (no of seats per first r row) = 320 x (no of seats per first r row)
4. 15 x (other last ie 'total - 16' rows) x no of seats per last row