Answer:
12 x 12 = 144, 12 x 13 = 156
Step-by-step explanation:
Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization 1. A 2. B 3. C
Each letter should be matched to its correct term as follows;
1. A ⇔ Efficiency.
2. B ⇔ Impossible.
3. C ⇔ Inefficiency.
What is a production possibilities curve?In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;
Technology is fixed.Resources are fixed.Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;
A ⇔ Efficiency: it represent points on the production possibilities curve.B ⇔ Impossible: it represent points outside the production possibilities curve.C ⇔ Inefficiency: it represent points on the interior of a production possibilities curve.Read more on production possibilities here: brainly.com/question/26460726
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What is the rate between 78 miles and 3 gallons of gas
Answer:
26 miles per gallon
Step-by-step explanation:
A philanthropist decided to donate 46% of her savings to charity.
What fraction of the philanthropist's savings was donated?
The fraction of the philanthropist's savings donated = 23/50
The percentage of the savings that the philanthropist wants to donate = 46%
Percentages can be converted to fractions by dividing by 100 and reducing the resulting fraction to the lowest term.
The reduction to the lowest term is done by dividing both the numerator and denominator by the same value
The fraction of the philanthropist's savings donated = 46/100
Reduce the fraction to the lowest term by dividing the numerator and denominator by 2
The reduced fraction becomes
\( \frac{46 \:\div2}{100 \:\div2} \)
The fraction of the philanthropist's savings donated = 23/50
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What number must go into the text box so that the expression is equivalent to 4x + 12. Please type in the NUMBER into the text box.
(Box) (x + 3) = 4x + 12
Two gears are connected by a chain. The larger gear has a linear velocity of 17π/6 inches per second. The angular velocity of the smaller gear is 34π/3 radians per minute.
What is the radius of the smaller gear?
1.25 feet
1.5 feet
15 feet
18 feet
So
\(\\ \rm\Rrightarrow v=r\omega\)
v is linear velocityomega is angular velocity\(\\ \rm\Rrightarrow r=\dfrac{v}{\omega}\)
\(\\ \rm\Rrightarrow r=\dfrac{17\pi}{6}\div\dfrac{34\pi}{3}=\dfrac{17\pi}{6}\times \dfrac{3}{34\pi}\)
\(\\ \rm\Rrightarrow r=\dfrac{1}{4}\)
\(\\ \rm\Rrightarrow r=0.25ft\)
Convert to ft
0.25(3)=0.75ft1 min=60s
Hence
34π/3×60=34π×20=680πSo
\(\\ \rm\Rrightarrow r=\dfrac{17\pi}{6}\times \dfrac{1}{680\pi}[\)
\(\\ \rm\Rrightarrow r=\dfrac{1}{40}\)
\(\\ \rm\Rrightarrow r=0.025in\)
Convert to ft
0.025(12)0.3ftNone of the above
The radius of the smaller gear is 15 feet, Option C is correct.
What is Velocity?Velocity is defined as the rate of change of distance of a body with respect to time
We can use the relationship between linear velocity and angular velocity for gears to solve this problem:
v = rω
where v is the linear velocity, r is the radius of the gear, and ω is the angular velocity.
We are given the linear velocity of the larger gear, which is 17π/6 inches per second.
v = 17π/6 inches per second
ω = (34π/3) / 60 radians per second
the radius of the smaller gear is:
r = v / ω
= (17π/6) / ((34π/3) / 60)
= 17π/6×60/(34π/3)
=17π/6×60×3/34π
= 1/6 ×60× 3/2
= 180/12
=15 feet
Hence, the radius of the smaller gear is 15 feet.
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PLEASE HELP I WILL MARK BRAINLIST
What is the polynomial function in standard form with zeros -10,0,2?
a) x^3 + 8x^2 + 20x
b) x^3 + 8x^2 - 20x
c) x^2 +8x -20
d) x^2 + 8x + 20
Answer:
x³ - 8x² - 20x
Step-by-step explanation:
Zeroes: 10, 0, -2
Factors are: (x - 10), (x - 0), (x + 2)
Multiply all factors to get expression:
(x - 10)x(x + 2) = x(x - 10)(x + 2)
= x(x² - 10x + 2x - 20)
= x(x² - 8x - 20)
= x³ - 8x² - 20x
\(12 {?}^{2} \)
After handling raw meat the food preparer should:
After handling raw meat the food preparer should:
wash hands with soap
move on to the next task
use hand sanitizer
After handling raw meat the food preparer should: wash hands with soap.
Food safetyIt is important that after handling raw meat the food preparer should endeavor to wash his/her with soap and water and dry your hand with a clean towel.
Washing of hand with soap will help to prevent bacteria based on the fact that raw meats can contaminate the area you place your hands on which is why it is advisable to wash your hands after handling raw meat.
Therefore after handling raw meat the food preparer should: wash hands with soap.
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what are zeros of this function?
Answer:
Step-by-step explanation:
The zeros are the values of x for which y = 0. Those are the points where the graph crosses the x-axis.
The graph passes through (0,0), so x=0 is one of the zeros.
The graph passes through the third tick to the right—note it is x=6, not x=3!
x=6 is the other zero.
3827 x 8/8 lees than equal to or greater than 3827 asap
Answer:
It's equal to itself. Here are the two ways to do this problem. ↓
\((3,827 * 8) / 8 = 3,827\)\(3,827 * 100~percent(8/8) = 3,827\)How would you solve
"if f(x) / (x - 2) = x ^ 3 + 2x - 4 + 13/(x - 2) what is f(2)"
and
"if f(x) / (x + 3) = 3x ^ 2 - 4x + 2 what is f(-3)"
The denominator is zero (0/0 is undefined), we cannot determine the exact value of f(-3) using this equation.
To solve the given equations, we need to find the value of the function f(x) for specific values of x.
"If f(x) / (x - 2) = x³ + 2x - 4 + 13/(x - 2), what is f(2)?"
To find f(2), we can substitute x = 2 into the equation and solve for f(2).
Plugging in x = 2, we get:
f(2) / (2 - 2) = 2³ + 2(2) - 4 + 13/(2 - 2)
Since the denominator is zero (2 - 2 = 0), the equation is undefined. Therefore, there is no solution for f(2) in this case.
"If f(x) / (x + 3) = 3x² - 4x + 2, what is f(-3)?"
To find f(-3), we can substitute x = -3 into the equation and solve for f(-3).
Plugging in x = -3, we get:
f(-3) / (-3 + 3) = 3(-3)² - 4(-3) + 2
Simplifying, we have:
f(-3) / 0 = 3(9) + 12 + 2
f(-3) / 0 = 27 + 12 + 2
f(-3) / 0 = 41
Additional information or context is needed to solve for f(-3).
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( 100 POINTS!!!!!!!!!!!!!!!!!!!)
please i really need these no uncool answers.
Part C
Now you will attempt to copy your original triangle using only two of its sides and the included angle:
Using point E as the center, draw a circle with a radius equal to the length of
, which you calculated in part B.
Using point E as the vertex and
as one side of the angle, create an angle that is equal to the measure of
. Draw ray
.
Locate the intersection of the ray and the circle, and label the point F.
Complete
by drawing a polygon through points D, E, and F.
Take a screenshot of your results, save it, and insert the image below.
∠BCA is of measure= 180 degree.
What are angles?Two lines intersect at a location, creating an angle.
An "angle" is the term used to describe the width of the "opening" between these two rays. The character is used to represent it.
Angles are frequently expressed in degrees and radians, a unit of circularity or rotation.
In geometry, an angle is created by joining two rays at their ends. These rays are referred to as the angle's sides or arms.
An angle has two primary components: the arms and the vertex.
the two rays' shared vertex serves as their common terminal.
according to our question-
sum of angles in a triangle = 180 degree
adding all the angles in the triangle=45+45+90
180
Hence, ∠BCA is of measure= 180 degree.
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if a sprinkler waters 1/14 of a lawn in 1/2 hour, how much time will it take to water the entire lawn
Answer:
7 hours
Step-by-step explanation:
1/14 * 14 = 1 whole lawn
1/2 hours = 30 minutes
14 * 30 = 420 minutes to water entire lawn
420 minutes = 7 hours
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
A city has a population of 310,000 people. Suppose that each year the population grows by 7%. What will the population be after 15 years?
Answer this one please
Answer:
volume is 6.72
width is 1.6
Step-by-step explanation:
African Safari While on a safari in Africa I saw a small herd of zebras and cranes wandering over the grassland. I counted 18 heads in all and counted 60 legs. How many zebras were there and how many cranes
Answer:
6 Cranes
Step-by-step explanation:
Given
Animals: Zebra & Cranes
\(Heads = 18\)
\(Legs = 60\)
Required
Determine the number of Cranes
Represent Zebra with Z and Cranes with C
A Zebra has 1 head and 4 legs
A Crane has 1 head and 2 legs
So:
\(Z + C = 18\)
\(4Z + 2C = 60\)
Make Z the subject in the first equation
\(Z = 18 - C\)
Substitute 18 - C for Z in the second
\(4(18 - C) + 2C = 60\)
\(72 - 4C + 2C = 60\)
Collect Like Terms
\(- 4C + 2C = 60 - 72\)
\(- 2C = -12\)
\(2C = 12\)
Solve for C
\(C= 12/2\)
\(C = 6\)
If f(x) = x²- 6x + 2 and g(x) = -2x, find the following composition.
(g o f)(5)
The composition (g o f)(5) has a value of 6
How to evaluate the composite function?The definitions of the functions are given as
f(x) = x²- 6x + 2 and g(x) = -2x
To find the composition (g o f)(5), we make use of
(g o f)(x) = g(f(x))
So, we have the following equation
(g o f)(x) = -2f(x)
Substitute f(x) = x²- 6x + 2 in (g o f)(x) = -2f(x)
So, we have
(g o f)(x) = -2 x (x²- 6x + 2 )
Substitute 5 for x
So, we have the following equation
(g o f)(5) = -2 x (5²- 6 x 5 + 2)
Evaluate the expression
So, we have the following equation
(g o f)(5) = 6
Hence, the value of the composition is 6
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The owner of a produce stand bought 600 grapefruit for 12 1/2 cents each. He sold the grapefruit at 8/3 of the cost. What was the profit on the 600 grapefruit?
The profit made on the 600 grapefruit with a cost price of \(12^{1/2}\) cent each is 12500 cents.
What is profit?Profit is the money a business pulls in after accounting for all expenses.
To calculate the profit made on the 600 grapefruit, we use the formula below.
Formula:
P = SP-CP...........Equation 1Where:
P = Profit made on the 600 grape fruitSP = Selling price of all the grapefruitCP = Cost price of all the grapefruitFrom the question,
Given:
CP = (\(12^{1/2}\)×600) = 7500 CentsS.P = (\(12^{1/2}\)×8/3×600) = 20000 centsSubstitute these values into equation 1
P = 20000-7500P = 12500 cents.Hence, the profit made on the 600 grapefruit is 12500 cents.
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Apply the Laws of Exponents to write an equivalent expression for the given expression.
(-9-4)7
(-9-4)² =
(Simplify your answer. Type your answer using exponential notation.)
Answer:
169
Step-by-step explanation:
To apply the Laws of Exponents and write an equivalent expression for (-9-4)², we need to simplify the expression step by step.
First, let's simplify the expression (-9-4)²:
(-9-4)² = (-13)²
Next, we apply the exponent rule for a negative base. According to the rule, when a negative number is raised to an even exponent, the result is positive. So, we have:
(-13)² = 13²
Now, we can simplify 13² using the exponent rule for multiplication:
13² = 13 * 13 = 169
Therefore, the equivalent expression for (-9-4)² is 169.
7. Lin is making blueberry muffins. She has a total of 4 cups of
blueberries. Each batch of muffins uses 3/2 cups of blueberries. How
many batches of blueberry muffins can Lin make using ALL of the
blueberries?
A.) Draw a diagram to represent this situation.
B) How many batches can Lin make?
X
13
C) What fraction of a batch will Lin need to make in order to use all of
the blueberries?
30
B. Lin can make 2 batches of blueberry muffins.
C. Lin needs to make 2/3 of a batch of blueberry muffins to use all of the blueberries.
What is mixed fraction?
A mixed number is one that contains both a whole number and a fraction. The fraction is written after the whole number, with a space or plus sign placed between them. The mixed number 2 1/4 serves as an explanation for how the numbers 2 and 1/4 were added. Objects that aren't whole numbers but are close to them, such length or time measurements, are typically represented by mixed numbers.
a) Diagram
4 cups of blueberries
__ __ __ __
| | | | |
|__|__|__|__|
Each batch uses 3/2 cups of blueberries
B) To find the number of batches Lin can make, we need to divide the total amount of blueberries by the amount of blueberries per batch:
4 cups of blueberries ÷ (3/2 cups of blueberries per batch)
= (4 cups of blueberries) × (2/3 batches per cup of blueberries)
= 8/3 batches
Therefore, Lin can make 8/3 or approximately 2.67 batches of blueberry muffins using all of the blueberries.
C) To find the fraction of a batch Lin will need to make in order to use all of the blueberries, we need to subtract the number of whole batches from the total number of batches:
8/3 batches - 2 batches = 2/3 of a batch
Therefore, Lin will need to make 2/3 of a batch in order to use all of the blueberries.
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Pls help me I can’t figure it out T^T incase the picture doesn’t work it says 14. write a real-world problem thats can be represented by the equation 3/4c=21?
Answer:
________________
How many 3/4 cups of milk would be needed to make 21 cups of milk for a large recipe?
________________
ж
A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 8.1 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)
Answer: The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042
This outcome would warrant a replacement cup.
Step-by-step explanation:
Let x be a random variable that represents the temperature of hot chocolates.
GIven: Mean temperature = 175 degrees
standard deviation = 8.1 degrees
The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =\(P(x<161)\)
\(=P(\dfrac{x-\mu}{\sigma}<\dfrac{161-175}{8.1})\\\\=P(Z<-1.7284) [Z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<1.7284)\\\\=1-0.9580\\\\=0.042\)
Hence, the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042 < 0.5 (unusual)
i.e. this outcome would warrant a replacement cup.
factor (5a–3b)^2–25a^2 PLS HELP 50 POINTS
Answer:
(-3b) (10a -3b)
Step-by-step explanation:
(5a–3b)^2–25a^2
Replace (5a–3b) with x
x^2 - (5a) ^2
We have the difference of squares
( x-5a) (x+5a)
Now replace x with (5a -3b)
(5a -3b -5a) ( 5a -3b +5a)
Combine like terms
(-3b) (10a -3b)
Answer:
(5a-3b)²-25a²
= 25a²+9b²-2×5a×3b-25a { (a-b)²= a²+b²-2ab}
=9b²-30ab
=3b(3b-10a)
= -3b(10a-3b)
Ans
Hope, it helped!
-15 POINTS-
What’s the length of GH
Write the equation of the line passing through the points (2,-5) and (7,-3).
Answer:
5y·2x=21
\( \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \)
Step-by-step explanation:
using the formula above,you will find the equation 5y–2x=21
Are older men shorter than younger men? According to a national report, the mean height for U.S. men is 69.4 inches. In a sample of 119 men between the ages of 60 and 69 , the mean height was ₓ⁻=69.3 inches. Public health officials want to determine whether the mean height μ for older men is less than the mean height of all adult men. Assume the population standard deviation to be σ=2.58 . Use the α=0.05 level of significance and the P-value method
There is not enough evidence to support the claim that older men are shorter than younger men.
How to explain the hypothesisThe test statistic for this hypothesis test is:
t = (x - μ) / σ / √n
= (69.3 - 69.4) / 2.58 / √119
= -0.13
The p-value for this hypothesis test is:
p-value = P(t < -0.13)
= 0.8944
We cannot conclude that the mean height of older men is less than the mean height of all adult men. The results are not statistically significant.
There is not enough evidence to support the claim that older men are shorter than younger men.
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Find the requested values below.
ADC =
X=
Submit Answer
Check the picture below.
\(3x+5=\cfrac{260-100}{2}\implies 6x+10=160\implies 6x=150 \\\\\\ x=\cfrac{150}{6}\implies x=25\hspace{9em}\stackrel{\measuredangle ABC}{3(25)+5}\implies 80^o\)
Which of the following is the best buy?
a 6 oz box of rice for $0.90
a 12 oz box of rice for $1.93
a 16 oz bag of rice for $2.42
a 9 oz box of rice $1.25
The best buy is (d) a 9 oz box of rice $1.25
How to determine the best buy?The best buy is the product that has the least unit rate.
The unit rate is calculated as:
Unit = Price/Weight
So, we have:
Box 1:
Unit rate = $0.90/6 oz = $0.150 per oz
Box 2:
Unit rate = $1.93/12 oz = $0.161 per oz
Box 3:
Unit rate = $2.42/16 oz = $0.151 per oz
Box 4:
Unit rate = $1.25/9 oz = $0.139 per oz
The least unit price is $0.139 per oz for box 4
Hence, the best buy is (d) a 9 oz box of rice $1.25
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Jack conducted a blind taste test on some of his friends in order to determine if organic fruits tasted different than non-organic fruits. Each friend ate one type of fruit. Organic Non-organic 8 9 Apples Peaches 11 9 Blueberries 6 6 What is the probability that a randomly selected friend tasted blueberries or preferred organic? Simplify any fractions.
Adding up both columns, we can conclude that Jack conducted the blind test with:
\(8+11+6+9+9+6=49\)49 friends.
Out of these 49 friends, 12 tasted blueberries and 25 preferred organic. This way, the probability that a randomly selected friend tasted blueberries or preferred organic is:
\(\frac{12+25}{49}=\frac{37}{49}\rightarrow0.76\)Or 76%