Answer:
we are going to use the formula...
V=πr2h
Step-by-step explanation:
so
V = (3.14) 4x4 (9)
V = (3.14) 16 x 9
V = 3.14 x 144
V = 452.16
Hence, the third or C
One way to compute a 15% tip for a bill is to multiply the bill by 0.15. A restaurant bill was $42.40. Calculate the tip. Enter your answer as a number only. (b) Explain how you calculated the tip in the section above. Be detailed in your response.
Answer:6.36
Step-by-step explanation:
Multiply the bill($42.40) by 0.15
3. Find the measure of each base angle in the figure below
A. 62
B. 28
C. 56
D. 124
Answer:
B
Step-by-step explanation:
Every triangle has 180 degrees.
so minus 124 you get 56. So you have 2 more angles so you divide that by 2 to get 28
The measure of each base angle in the figure, if The measure of an angle is 124°, and The side IH is equal to IJ, is 28°, so option B is correct.
What is the triangle?Triangles are basic three-sided polygons with three internal angles. The symbol represents one of the basic geometric shapes, which has three joined vertices.
Given:
The measure of an angle is 124°,
The side IH is equal to IJ,
As we know, the equal side makes the opposite angle equal then,
∠ IHJ = ∠ IJH
Assume the angle is x,
∠ IHJ +∠ IJH + ∠ HIJ = 180 (Triangle property)
2x + 124 = 180
2x = 180 - 124
x = 56 / 2
x = 28°
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What is the simpler form of
(2k²− k+ 3) + (5k²+ 3k +7)?
Answer: 7k^2+2k+10
Step-by-step explanation: To simplify this, you need to combine like terms, which are just the numbers that have the same variables and exponents. Combine 2k^2 and 5k^5 and it is 7k^2 (Just add the coefficient). Then do 3k -k, which is 2k. k just represents 1, so basically, 3-1. Finally, 7 + 3, which is 10. Then, combine the results to form an expression, which is 7k^2+2k+10.
How do you solve for x in the equation (2x - 3)/5 = (x + 1)/6?
Answer:
x= 23 /7
Step-by-step explanation:
The set of life spans of an appliance is normally distributed with a mean Mu = 48 months and a standard deviation Sigma = 8 months. What is the life span of an appliance that has a z-score of –3? 3 months 24 months 45 months 72 months.
To solve the problem we must know about Z-Score.
What is Z-score?A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
\(Z = \dfrac{X- \mu}{\sigma}\)
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
The life span of an appliance that has a z-score of –3 is 24 months.
Given to us
Mean, μ = 48 months,standard deviation, σ = 8 months,Z-Score = -3 What is the life span of an appliance?The life span of the appliance can be calculated using the Z-score formula,
\(Z = \dfrac{X- \mu}{\sigma}\)
Substitute the values,
\(-3 = \dfrac{X- 48}{8}\\\\-3 \times 8 = X - 48\\\\-24+48=X\\\\X = 24\ months\)
Hence, the life span of an appliance that has a z-score of –3 is 24 months.
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Answer:
b: 24 months
Step-by-step explanation:
The ground temperature at an airport is 14 "C. The temperature decreases by 6.2 "C for every increase of 1 kllometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?
Answer:
-17 C
Step-by-step explanation:
14 - 5(6.2) = 14 - 31 = -17 C
Lucas and his brother, Max, went to the arcade yesterday. Lucas played 2 games of Rodeo Racing and 8 games of Polar Pinball. Max played 3 games of Rodeo Racing and 9 games of Polar Pinball. Which brother played the greater ratio of Rodeo Racing to Polar Pinball?
Answer:
Max
Step-by-step explanation:
Lucas played 2 Rodeo Racing:8 Polar pinball = 1:4 (Divide by 2)
Max played 3 Rodeo Racing:9 Polar pinball = 1:3 (Divide by 3)
1:3 is greater than 1:4 so this proves that Max has played the greater ration of Rodeo Racing to Polar Pinball.
Answer:
Max played the greater ratio.
Step-by-step explanation:
:)
{(1,2,1),(2,1 |(2,1,5), (1, –4,7) } is linear dependent subset of R', (i) Prove that (ii) Determine whether the vector (1,2,6) is a linear combination of the vector
Answer: There are non-zero solutions to the equation
k₁ (1, 2, 1) + k₂ (2, 1, 5) + k₃ (1, –4, 7) = (1, 2, 6).
Hence, the vector (1, 2, 6) is a linear combination of the given set.
Step-by-step explanation:
The given set is linearly dependent.
Let's check the proof for that.
Since both the given vectors have 3 components, let's solve them as 3x3 linear system as shown below:
2x + y = 2y + x + 5z
4x - 8y = -x + 4z
This system can be expressed in terms of matrix equation as shown below:
A . X = 0
where A is a 3x3 matrix consisting of coefficients, X is the column vector with components (x, y, z) and 0 is the zero column vector of the same dimension as X.
The matrix A = 2 -1 -5 4 -8 4 -1 0 0 is the coefficient matrix.
The given vectors {(1, 2, 1), (2, 1, 5), (1, –4, 7)} form a linearly dependent subset of R³ if and only if there are scalars k₁, k₂ and k₃, not all zero, such that:
k₁ (1, 2, 1) + k₂ (2, 1, 5) + k₃ (1, –4, 7) = (0, 0, 0)
Thus, we need to find such scalars, k₁, k₂, and k₃, not all zero such that the above equation holds.
Let's write these vectors in terms of a column matrix to solve it:
k₁ + 2k₂ + k₃ = 0
2k₁ + k₂ - 4k₃ = 0
k₁ + 5k₂ + 7k₃ = 0
One solution to this system is
k₁ = -1, k₂ = 1, k₃ = 1.
Therefore, not all coefficients are zero.
So, the given vectors form a linearly dependent set.
Now let's check if the given vector (1, 2, 6) is a linear combination of the given set or not.
Let's solve the system of linear equations:
k₁ + 2k₂ + k₃ = 1
2k₁ + k₂ - 4k₃ = 2
k₁ + 5k₂ + 7k₃ = 6
Solving this system of linear equations, we get
k₁ = 1, k₂ = 0, k₃ = 1.
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jason did a distance spatial join to find city-to-airport distances in illinois, and found that the distance values were all less than 3.0. what are the units?
Illinois city-to-airport distances can be discovered using a distance spatial join. The utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.
Explain the term GIS?A system called a geographic information system (GIS) is one that collects, organizes, processes, and maps all kinds of data.
GIS connects data to a map and combines all kinds of descriptive data with location data (where objects are) . This offers a basis for mapping and analysis, which are applied in science and practically every sector of the economy. GIS aids users in comprehending trends, connections, and geographic context. The advantages include better management and decision-making, as well as enhanced communication and efficiency. GIS is being used by hundreds of thousands more organizations worldwide to create maps that facilitate communication, analysis, information sharing, and the resolution of challenging issues.Illinois city-to-airport distances can be discovered using a distance spatial join.
Thus, the utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.
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can someone please help with this?
Part A
Answers:
Coefficient = 10.50 or 15 (pick one value)Variable = h or c (pick one)Constant = 50------------------
Explanation:
The variables are simply letters. They are placeholders for numbers to be plugged in later. Think of them like empty boxes where numbers will go. In this case, the variable h represents the number of hours Tyler works, and c is the number of new accounts she opens.
The coefficients are the numbers multiplied with the variables. They are to the left of the variable.
The constant 50 is not attached to any variable.
===================================
Part B
Answer: She earns $618.5
-------------------
Explanation:
We're told she worked 37 hours. So we'll replace h with 37.
Also, she opened 12 new accounts. So c = 12
This means...
10.50*h + 15*c + 50
10.50*37 + 15*12 + 50
388.5 + 180 + 50
618.5
is the amount she earns
===================================
Part C
Answer: The coefficient changes. Specifically, the coefficient 10.50 changes to 11.25
-------------------
Explanation:
The constant never changes (hence the name) no matter how much of a raise Tyler gets. The other coefficient doesn't change either because she would still get $15 per new account. All that's changed is the hourly wage.
If we're told that Tyler got a raise to $11.25 per hour and she now earned $20 per new account, then both coefficients would change and the new equation would be 11.25h+20c+50
Will give Brainliest plz help
Answer:
Step-by-step explanation:
a
Examples:
3x (coefficient is 3)
4t (coefficient is 4)
Lesson Review
Directions: Name the coefficient (s) in the following expressions:
1. 12s + 4t
2. 46rs + 10x
3. 12q + 14x
4. 10x + 10y
5. 17rs + 32x
6. 5x + 7y - 12z
7. 36ab + 70m
8. 3r + 19a + 10m
9. 7k + 16m
10. 8r + 5s
11. 9h + 120m
12. 12k + m
13. 7g + 15h + w
14. 4c - 8d + 12f
15. 6t + 17r - 35j
Answer:
Just list all the coefficients.
Step-by-step explanation:
one thing to know
If a variable is just there, like x, it's coefficient is always a one
1. (12 and 4)
2. (46 and 10)
3. (12 and 14)
4. (10 and 10)
5. (17 and 32)
6. (5,7 and -12)
7. (36 and 70)
8. (3,19 and 10)
9. (7 and 16)
10. (8 and 5)
11. (9 and 120)
12. (12 and 1)
13. (7,15 and 1)
14. (4,-8 and 12)
15. (6,17, and -35)
Plz solve this is for a test and I have a f soooo-
The answer is 12/2, well that's what I got.
Either way this question might get deleted so yeah
12
Step-by-step explanation:
12 divided by 2 is 6. so this would be the answer.
Is the ordered pair a solution of y ≥ 2x − 5? a. (3, 1) b. (1, −4)
Answer:
a. Yes
b. No
Step-by-step explanation:
To find if an ordered pair is a solution to the inequality, substitute its x and y values for the x and y in the inequality and solve. If the equation is true, then it is a solution. If it is not, then it is not a solution.
1) First, substitute the x and y values of (3, 1) into the inequality. So, substitute 3 for x and 1 for y:
\(1 \geq 2(3)-5\\1\geq 6-5\\1\geq 1\)
1 is greater than or equal to 1, so (3,1) is a solution.
2) Second, do the same with the point (1, -4). Substitute 1 for x and -4 for y:
\(-4\geq 2(1)-5\\\\-4\geq 2-5\\-4\geq -3\)
However, -4 is not greater than or equal to -3, thus (1, -4) is not a solution.
The ordered pair (3, 1) is the solution of the given inequality.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is y ≥ 2x-5.
A) The ordered pair is (3, 1)
Substitute (x, y)=(3, 1) in the given inequality, we get
1 ≥ 2(3)-5
1 ≥ 1
B) The ordered pair is (1, -4)
Substitute (x, y)=(1, -4) in the given inequality, we get
-4 ≥ 2(1)-5
-4 ≥ -3
Which is not true.
Therefore, the ordered pair (3, 1) is the solution of the given inequality.
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an airplane flying 4000 feet above the ground. if the angle of depression to the airport runaway is 12 degrees. how far is the airplane from the runaway (hypotenuse)
a.) label the triangle with the given information and use x to label the side you are looking for.
b.) solve for the missing side
pls help
Answer:
x is 7457.7 m
Step-by-step explanation:
Check the labelled diagram below.
Now, we have opposite and hypotenuse, so we use sine formula over here.
sin Φ = opposite / hypotenuse
sin 12° = 4000 / x
x = 4000 / sin 12°
x = -7454.71839113
Since distance can not be negative,
x is 7457.7 m
What is the slope of the line in the graph?
y
5
4
3
2
54324
345 X
해
The names of the automobile manufacturer of the car that you drive is what type of variables ( scales of measurement)
The type of variable that represents the names of the automobile manufacturers would be the categorical variable.
What are variables in research work?A variable is defined as the quantity that may change within the context of a mathematical problem, research work or an experiment.
There are various types of variables that include the following:
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Jalen bought 4 bottles of water, 2 bags of chips, and a fruit salad. the cost of the fruit salad was $5. this expression was used to represent the amount jalen should pay. 4x 2x 5 based on the expression, the cost of each bottle of water is the cost of each bag of chips.
Answer:
The expression is given as:
4x + 2x + 5
Where he bought
4 bottles of water
2 bags of cashews
a fruit salad.
We have:
4x + 2x + 5
Express as products
4 * x + 2 * x + 5 * 1
This gives
4 * cost of bottle water + 2 * cost of cashew bag + 5 * number of fruit salad
The above means that, the costs are
Bottle of water = x
Bag of cashew = x
Fruit salad = $5
Hence, the cost of each bottle of water is x
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Step-by-step explanation:
Answer: The same as
Step-by-step explanation: Total price = unit price x quantity.
x in 4x represents the unit price of a bottle of water
x in 2x represents the unit price of a bag of cashews
x=x, so the cost of each bottle of water is the same as the cost of each bag of cashews
Question 1
9 pts
The Land rover LX depreciates at a rate of 11% each year. If
the car is worth $47,450 this year, what will the value be in
9yrs?
$21,825. 44
$19,387. 93
$16,624. 41
$121. 378. 85
Next >
The value of the Land Rover LX will be approximately $16,624.41 in 9 years, considering a depreciation rate of 11% each year.
To find the value of the Land Rover LX after 9 years, we need to calculate the depreciation for each year. The car depreciates at a rate of 11% each year.
We can calculate the value in each year by multiplying the previous year's value by (1 - 0.11) or 0.89 (100% - 11%).
Starting with the initial value of $47,450, we can calculate the value in each subsequent year as follows:
Year 1: $47,450 * 0.89 = $42,190.50
Year 2: $42,190.50 * 0.89 = $37,548.45
Year 9: $16,624.41 * 0.89 = $14,793.02
Therefore, the value of the Land Rover LX in 9 years will be approximately $16,624.41. Option C, $16,624.41, matches this calculated value and is the correct answer.
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TRUE/FALSE. Samuel Houston received official permission from Mexico to settle a large number of Americans in Texas. The capital of Texas is named after him.
The statement is false because Samuel Houston did not receive official permission from Mexico to settle a large number of Americans in Texas.
The permission and land grant to bring American settlers to Texas were obtained by Stephen F. Austin, not Samuel Houston. Austin is widely recognized as the "Father of Texas" and played a crucial role in the early colonization and development of the region.
Furthermore, the capital of Texas, Austin, is named after Stephen F. Austin, not Samuel Houston. Houston, although a significant figure in Texas history, served as the president of the Republic of Texas and later as a U.S. senator.
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Some people on this app scare me-
Sure, some people here are nice but some are just straight up rude and some are just creepy.. one random person on here literally called me "puppy girl" ..
I'm hoping all of these 30 yr olds on this app get off and actually have something to do with their life ..
There was this one person that said, 'hey how old are you?' of course I lied. then another asking me to change my profile to something inappropriate.
im has a health insurance policy with the following provisions: $300 deductible, $50 copay, and an 70/30 coinsurance. If Jim has an accident that costs $3,000 in medical expenses, how much does will he have to pay out-of-pocket? $350 $795 O $1,145 O $2,675
Jim will have to pay $795 out-of-pocket if he has an accident that costs $3,000 in medical expenses. Option b is correct.
Let’s calculate the amount Jim has to pay out-of-pocket. Jim has an accident that costs $3,000 in medical expenses, so the total cost is $3000.Jim’s health insurance policy has the following provisions:
Deductible = $300
Co-pay = $50
Coinsurance = 70/30
Since the coinsurance provision is 70/30, this means that Jim's insurance will pay 70% of the remaining expenses after deductibles and co-pays and Jim will pay the remaining 30%.
Thus, Jim will pay 30% of the remaining expenses after deductibles and co-pays. Out of the total $3000 medical expenses, Jim has to pay the first $300 (deductible).
The remaining amount is $3000 – $300 = $2700.
He has a copay of $50, thus reducing the remaining amount to $2650.
So, Jim has to pay 30% of $2650 which is equal to:
$2650 × 0.3 = $795
Therefore, Jim has to pay out-of-pocket $795. The correct option is option B.
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You have $50 in your bank account. Each week you plan to deposit $6 from your allowance and $20 from your paycheck. The equation b = 60 + (20+6)w gives the amount b in your account after w weeks. How many weeks from now will you have $215 in your bank account?
6 weeks from now, you will have $215 in your bank account
How many weeks from now will you have $215 in your bank account?The given parameters are:
b = 60 + (20+6)w
When the account balance is $215, we have
60 + (20+6)w = 215
Subtract 60 from both sides
(20+6)w = 155
This gives
26w = 155
Divide both sides by 26
w = 5.96
Approximate
w = 6
Hence, 6 weeks from now, you will have $215 in your bank account
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calculate the probability the proportion of the 30 americans sampled that agree climate change is an immediate threat to humanity exceeds 35%.
The probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is approximately 82.38%.
Assuming the sample of 30 Americans is representative of the population, we can calculate the sample proportion as the number of individuals in the sample who agree divided by the total sample size. Let's assume that the sample proportion is p'.
To calculate the probability of the proportion exceeding 35%, we need to find the z-score of the value 0.35 using the formula:
z = (p' - p) / √[p * (1 - p) / n]
where p is the population proportion (which we don't know), and n is the sample size (30 in this case). We can use p' as an estimate of p.
Once we find the z-score, we can use a standard normal distribution table or a calculator to find the probability that the z-score is greater than the value we calculated. This probability is the probability that the proportion of Americans who agree that climate change is an immediate threat to humanity exceeds 35%.
For example, if p' = 0.4, then the z-score is:
z = (0.4 - 0.35) /√ [0.35 * (1 - 0.35) / 30] = 1.03
Using a standard normal distribution table, we can find that the probability of a z-score being greater than 1.03 is approximately 0.8238, or about 82.38%.
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calculate the area of parallelogram WXYZ.
The area of a parallelogram is:
a = bh
The base, b, of the parallelogram is 14.
The issue with this particular figure? We need the perpendicular height. We are given the side width, but that cannot be used in the final equation. So, we employ the Pythagorean Theorem.
We know that in the right triangle, a = 4, and c = 8.
a^2 + b^2 = c^2
4^2 + b^2 = 8^2
16 + b^2 = 64
16 - 16 + b^2 = 64 - 16
b^2 = 48
√b^2 = √48
b ≈ 6.93
So, b in this right triangle is equal to h in the parallelogram. So:
a ≈ 14(6.93)
a ≈ 97.02
Mrs. Dalloway made 85 tarts. If she wants to fill 10 boxes with
the same number of tarts, how many more tarts should she
make?
Answer:
15
Step-by-step explanation:
85 total so far
she wants 10 full boxes with the same amount
85+15=100
Answer:
15
Step-by-step explanation:
The fraction shown is bigger than 1/3 and smaller than 2/5 find its numerator
Answer:
1/4
Step-by-step explanation:
What is the equation of the line that passes through the points (1, –1) and (3, –7)
Answer:
y = -3x + 2
Step-by-step explanation:
To find the slope of an equation you can do (y2-y1)/(x2-x1). Plug the values in from the equation and you get (-1+7)/(1-3), or 6/-2. This means the slope is -3. Then you plug the values of y and x into an equation y = -3x + b, and you get -1 = (-3)1 + b. Solve for b. -1 = -3 + b, (add 3 to each side) 2 = b. Then plug b back into your equation and you get y = -3x + 2
Answer:
-3x+2=y
Step-by-step explanation:
u need to find the slope intercept formula which mx+b=y
m=slope
b=y-intercept
first u should find the slope which is y2-y1/x2-x1
point 1:(1,-1)
point 2:(3,-7)
-7+1/3-1=-6/2=-3
m=-3
now replace the variables
-3(1)+b=-1
-3 times 1=-3
-3+b=-1
add 3 to both sides
b=2
now the equation is -3x+2=y
A driver decends 20 feet in the water from the boat at the surface of the lake. He then rose 12 feet and decends another 18 feet. At this point what is his depth in the water
Answer:
-26 ft or 26 ft below the surface
Step-by-step explanation:
Starting at the surface
0
Descending 20 ft
0 -20 = -20
Rose 12 ft
-20 +12 = -8
Descends 18 ft
-8 -18= -26 ft
What is the greatest common factor of 33 and 39
Answer:3
Step-by-step explanation:
Answer:
since 3 is the largest of these common factors the gcf of 33 and 39 would be 3