Answer
720π cm²
Step-by-step explanation:
Surface area of cylinder
A=2πr(s+r)
for r=12cm, s=18cm
A= 2π×12(12+18)
=24π×30
=720π
pls help! thank you!
Using the zero product property, we can set each factor equal to zero.
First Factor [tex]x^{4}+5x^{2}-36[/tex]
[tex]x^{4}+5x^{2}-36=0\\(x^{2}+9)(x^{2}-4)=0\\x^{2}+9=0, x^{2}-4=0\\x=\pm 3i, x=\pm 2[/tex]
Second Factor [tex]2x^{2}+9x+5[/tex]
Using the quadratic formula, we get [tex]x=\frac{-9 \pm \sqrt{41}}{4}[/tex].
Graph f(x)=2^x what is the answer?
Graph is in attached image.
Given that the quadrilateral is a parallelogram, find the values of x, y and z.
Answer:
x=9
y=4
z=4
Step-by-step explanation:
9x-13=7x+5
9x-7x=5+13
2x=18
x=18/2=9
3y=12
y=12/3=4
11z-41=5z-17
11z-5z=-17+41
6z=24
z=24/6=4
The average profit on each car sold was $2430, correct to the nearest $10. Calculate the lower bound for the total profit. Write down the exact answer.
The lower bound for the profit is $2425.
What is the lower bound?When a number of rounded off to the nearest $10, it means that the value of the number in the units place, if greater than 5 becomes zero and one is added to the $10 number. If the number is less than 5, there is no change in the $10 number and the units number becomes 0
The possible values of the average profit are 2425, 2426, 2427, 2428, 2429, 2430. 2431. 2432, 2433, 2434
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The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below: Step 1: 2(y + 6) = 4y Step 2: 2y + 8 = 4y Step 3: 2y = 8 Step 4: y = 4 Which of the following explains how to correct Step 2 and shows the correct value of y? (5 points) a 2 should be distributed as 2y + 12; y = 6 b 2 should be distributed as 2y + 12; y = 3 c The equation should be y + 6 = 4y after division by 2; y = 2 d The equation should be y + 6 = 4y after division by 2; y = 1
Step-by-step explanation:
The wording is slightly confusing so I will just solve the equation.
2 (y + 6) = 4y
We expand the bracket
2y + 12 = 4y
We subtract 2y from both sides
12 = 2y
We divide both sides by 2
6 = y
the width of a rectangular prism is 7cm, height is 5cm and length is 13 cm. find the volume
The volume of the given rectangular prism.
Solution:[tex]\huge\boxed{Formula: lwh}[/tex]
To find the the volume we'll have to multiply the height, width and length.
[tex]V=\: 13×7×5 [/tex]
[tex]\large\boxed{V= \:455\: {cm}^{3}}[/tex]
Therefore, the volume of the given rectangular prism is 455 cubic centimeters.
Julian calculates the volume of a rectangular prism with the dimensions 3/4ft by 4 feet by 1/2 ft. His work is shown here.
What error did Julian make?
He multiplied the numerators incorrectly.
He multiplied the denominators incorrectly.
He simplified 12/6 incorrectly.
He wrote 4 as a fraction incorrectly.
Answer:
He multiplied the denominators incorrectly
Step-by-step explanation:
we know that
The volume of a rectangular prism is given by the formula
V=LWH
we have
L=3/4 ft
W=5/1 ft
H=1/2
substitute
V=(3/4)(5/1)(1/2)= 3x5x1= 15
₋₋₋₋₋₋₋₋ ₋₋₋₋ ft³
4x1x2= 8
therefore
He multiplied the denominators incorrectly
EGG DROP The physics class is holding an egg drop competition. The formula h= −16t2+h0 can be used to approximate the number of seconds, t, it will take for the eggs to reach height, h, from an initial height of h0 in feet.
Find the time it takes an egg to reach the ground if it is dropped from an initial height of 40 feet. Round to the nearest hundredth, if necessary.
By solving a quadratic equation we will see that the egg will hit the ground after 1.58 seconds.
How long will take the egg to reach the ground?
Here we know that the initial height of the egg is 40ft, so the equation for the height will be:
[tex]h(t) = -16*t^2 + 40[/tex]
The egg will hit the ground when h(t) = 0, so we need to solve the quadratic equation:
[tex]h(t) = -16*t^2 + 40 = 0\\\\16t^2 = 40\\\\t^2 = 40/16\\\\t = \sqrt{40/16} = 1.58[/tex]
This means that the egg will hit the ground after 1.58 seconds.
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What is the y-intercept for this function?
a
(0, −3)
b
(3, 0)
c
(−9, 0)
d
(0, −9)
Answer:
d
Step-by-step explanation:
the y- intercept is the point on the y- axis where the graph crosses
the graph crosses the y- axis at point (0, - 9 )
then y- intercept = (0, - 9 )
What are the domain and range of the function f(x)=x²-2x² -4?
Answer:
The domain is -∞, ∞
The range is -∞, -4
Step-by-step explanation:
The domain is the data in a set representing the possible real numbers for a function.
The range is the range that this function's result is likely to be in.
A triangle has vertices at (2, 3), (-4, 5), and (-3, 4). What are the coordinates of the vertices
of the image after the translation (x, y) (x + 1, y - 3)?
[tex](2,3) \longrightarrow (2+1, 3-3)=\boxed{(3,0)}\\(-4,5) \longrightarrow (-4+1, 5-3)=\boxed{(-3, 2)}\\(-3,4) \longrightarrow (-3+1, 4-3)=\boxed{(-2, 1)}[/tex]
I NEED HELP NOWWWW PLSSS
From this data, how many male, female, adult, and baby moose do you predict are in the park?
Elk Mountain Goat Deer Moose
Male 105 71 42 52
Female 120 93 63 34
Adult 173 103 72 58
Baby 52 61 33 28
The data shows that the number of male, female, adult, and baby moose that are in the park will be 52, 34, 58, and 28 respectively.
What is data?It should be noted that data simply means the facts and statistics that are given which are used for analysis.
In this case, the data shows that the number of male, female, adult, and baby moose that are in the park will be 52, 34, 58, and 28 respectively. This can be seen from the information in the table.
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please help me.............
I apologize for the handwriting it's not the best :)
A point that is exterior to an angle is found on the acute side of the angle. true of false?
A point that is exterior to an angle is found on the acute side of the angle which is true.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
We know that the sum of the exterior angle and interior angle is equal to 180 degrees.
"If one of the exterior angles is an acute angle, then the corresponding interior angle is an obtuse angle."
A point that is exterior to an angle is found on the acute side of the angle which is true.
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Drag each tile to the correct box. a с C b A David proved the Law of Cosines with reference to AABC using a different method. Arrange the steps of his proof in the correct sequence. k² = c² - (b − x)² In AABD, (Pythagorean Theorem) In ABCD, k² = a² - 1² (Pythagorean Theorem) c² (6²-26x + x²) = a² — 1² (on simplification) Similarly, prove that a2b² + c² - 2bccos A and 82 6² = a² + c²2accos B B
Big question:
where is the question here
Please help!!
Explain the difference between using the cosine ratio to solve for a missing angle in a right
triangle versus using the secant ratio. You must use complete sentences and any evidence
needed (such as an example) to prove your point of view.
In trigonometry, secant in a right triangle, is the reciprocal of the cosine of an angle symbol: sec while cosine is in a right triangle, is the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse.
The cosine of an angle is the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse of the triangle. The cosine of ∠A will be abbreviated as cos ∠A
The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .
Answer:
Step-by-step explanation:
Suppose a right triangle ABC in which
BC=3 units and AC=5 unit and angle B=90 degree
Let x be the missing angle of right triangle
We know that
Hence, there is no difference between using cosine ratio to solve for a missing angle in a right triangle versus using the secant ratio.
An auto weighing 2,000 pounds is on a street inclined at 10° with the horizontal. Find the force necessary to prevent the car from rolling down the hill. (Round your answer to the nearest whole number.)
347 pounds
14,397 pounds
2,462 pounds
Force (F) = WSin(angle)
F = 2000×Sin(10)
Therefore, F = 347lb.
9 less than the sum of x and y
If we need to turn this into a mathematical expression:
Answer: (x + y) - 9
Step-by-step explanation:
9 less than the sum of x and y
(the sum of x and y) - 9
(x + y) - 9
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Evaluate 1/2 X (6 X 4)÷3 + 2 show your work to find the answer pls hurry
So, when we evaluate 1/2 × (6 × 4) ÷ 3 + 2 = 8
To answer the question, we must use the rules of arithmetic in mathematical operations
What are mathematical operationsMathematical operations are operation which include
addition, subtraction, multiplication and division. Rules of arithmetic in mathematical operationsIn arithmetic, we follow the rule PEMDAS where
P - parentheses E - exponents M - multiplication D - division A - addition and S - subtractionSo, to evaluate 1/2 × (6 × 4) ÷ 3 + 2, we follow this rule.
So, 1/2 × (6 × 4) ÷ 3 + 2 = 1/2 × 24 ÷ 3 + 2
= 12 ÷ 3 + 2
= 6 + 2
= 8
So, 1/2 × (6 × 4) ÷ 3 + 2 = 8
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If the value of a home is assessed at $110,000, and the homeowner pays property tax at a rate of 25 mills, how much would the homeowner have to pay in property tax each year?
$2,500
$3,125
$1,100
$2,750
Using proportions, it is found that the homeowner would have to pay $2,750 in property tax each year.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The tax at a rate of 25 mills means that for each $1,000 in value of the home, he pays $25 in taxes. Hence, for a home of value of $110,000, the amount he pays in taxes is given by:
A = 110 x 25 = $2,750.
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What is the median of the data set?
16, 21, 28, 30, 40, 45, 54, 58
A. 58
Β. 35
C. 10
D. 19
Answer:
I think 10 is the answer it's not sure.
WHAT IS THIS HELP
if u put a bad answer i'll report
Answer:
C
Step-by-step explanation:
Two negatives cancel out and turn into a positive.
In the expression 11 - ( -3 5/8 ) there are two negative signs. If the parenthesis are removed, the two negative signs cancel out and turn into a positive and we are left with 11 +3 5/8
So the answer is C
PLEASE HELP!!!!!!!!!! I'll NAME BRAINLIEST!!!!!!
Classify the expression by the number of terms.
5y^2-8+6y^4
Answer:
5x2-2x+1 The highest exponent is the 2 so this is a 2nd degree trinomial.
Step-by-step explanation: Also pls answer by question
Lila invested 10000 in one of long life insurance company annuity contracts. When issued, the contract was paying a 5 percent rate of return
The kind of annuity does Lila own is: variable immediate annuity.
What is variable immediate annuity?Variable immediate annuity can be defined as the type of annuity that vary or fluctuate based on the type of investment you choose or pick.
In this type of annuity the payment you will receive will not be fixed reason being that payments that will made to you will always increase or decrease.
Therefore the kind of annuity does Lila own is: variable immediate annuity.
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find the area and the circumference of a circle with the diameter 6 yards
Answer:
area = 28.27
circumference = 18.85
Step-by-step explanation:
Using the formulas for area,
A = πr^2
d = 2r
Solving for area,
A = 1/4 πd^2 = 1/4 × π × 6^2 ≈ 28.27yd²
Using the formulas for circumference,
C = 2 πr
d = 2r
Solving for circumference,
C = πd = π × 6 ≈ 18.85yd
If a cylinder has a volume of 120 cm3 and a cone has a volume of 360 cm3, is it possible that the two cones have congruent bases and congruent heights?
No, the cone and the cylinder can't have congruent heights and bases.
is it possible that the two cones have congruent bases and congruent heights?
The volume of a cylinder of radius R and height H is:
V = pi*R^2*H
And for a cone of radius R and height H is:
V = pi*R^2*H/3
So, for the same dimensions R and H, the cone has 1/3 of the volume of the cylinder.
Here, the cylinder has a volume of 120cm³ and the cone a volume of 360cm³, so the cone has 3 times the volume of the cylinder.
This means that the measures must be different, so the cone and the cylinder can't have congruent heights and bases.
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12. Find the solution to the system of equations by
using
substitution.
y = -2x + 13
4x + 8y = 20
A)(-7,-1)
B)(4,5
C)(7,-1)
D)(-3,7)
Serenity earned a grade of 39% on her multiple choice science final that had a total of
200 problems. How many problems on the final exam did Serenity answer correctly?
Answer:
78
Step-by-step explanation:
The number of correct problems is found by multiplying the percentage that were correct by the total number of problems.
__
number correct = fraction correct × number of problems
number correct = 0.39 × 200 = 78
Serenity answered 78 problems correctly.
_____
Additional comment
The symbol % is fully equivalent to /100. That is 39% = 39/100 = 0.39 (pronounced "thirty-nine hundredths"). Using a percent symbol is just another way to write a fraction.
I’m having trouble figuring out how to find the limit of this function algebraically.
Answer:
Step-by-step explanation:
I need help please anyone ?!!!