Answer:
25
Step-by-step explanation:
[tex]f(x)=x^3-2 \\\\f(3)=(3)^3-2= \\\\27-2= \\\\25[/tex]
Hope this helps!
Answer: 25
Explanation: Notice that f is a function of x. So we want to find f(3).
We find f(3) by plugging 3 in for x everywhere
that x appears in the function.
So we have (3)³ - 2.
(3)³ is equal to 3 × 3 × 3 or 27.
So we have 27 - 2 which is 25.
So f(3) is equal to 25.
Find the surface area of the composite solid.
PLZ HELP
Answer:
613.5 m^2
Step-by-step explanation:
The area of the base is
A = 1/2 bh
= 1/2 (10) (8.7) =43.5 m^2
We have three sides with all the same area
The area of one side is 10 * 16 = 160
3 * 160 = 480 m^2
Now to the top
We have 3 sides with the same area
The area of one side
A = 1/2 bh
A = 1/2 (10) (6)
= 30 m^2
3* 30 = 90
Add all the areas together to get the total surface area
43.5 m^2+ 480 m^2 + 90 m^2
613.5 m^2
Answer:
[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.
Surface area of the triangular prism:
10 × 8.7 × 1/2 + 16 × 10 × 3
⇒ 523.5
Surface area of the triangular pyramid:
6 × 10 × 1/2 × 3
⇒ 90
Adding the surface areas:
523.5 + 90
⇒ 613.5
[tex]\rule[225]{225}{2}[/tex]
solve the equation
x^2 + 4x - 7
By completing the square
give answer correct to two decimal places.
( p.s the answer is not -5.32 or 1.32 )
Answer:
x = 1.32, -5.32
Step-by-step explanation:
x^2 + 4x - 7
Set equal to zero
x^2 + 4x - 7 =0
Add 7 to each side
x^2 + 4x =7
Take the coefficient of x and divide by 2
4/2
Square it
2^2 =4
Add to each side
x^2+4x+4 = 7+4
(x+2)^2 = 11
Take the square root of each side
x+2 = ±sqrt(11)
Subtract 2 from each side
x = -2 ±sqrt(11)
x=1.31662
x=-5.31662
To 2 decimal places
x = 1.32, -5.32
What is the probability of a number less than 4 showing when a number cube is rolled?
Answer:
50 percent
Step-by-step explanation:
Answer: there is a 50% chance
Step-by-step explanation:
there are three numbers less than four on a number cube. 3/6 is equivalent to 1/2
Write down the value of 2jk - 10j when j = 9 and k = 2 Write down only the number, nothing else
Answer:
-54
Step-by-step explanation:
2jk - 10j
Let j = 9 and k=2
2*9*2 - 10 *9
36 - 90
-54
A student takes his 2 dogs for a walk. He lets them off their leash in a field where Edison runs at 10 m/s and Einstein runs at 8 m/s. The student determines the angle between the dogs is 25°, how far are the dogs from each other in 5 seconds?
Answer:
The dogs are 21. 8 m from each other in 5 seconds
Step-by-step explanation:
Given;
speed of Edison, v = 10 m/s
speed of Einstein, u = 8 m/s
angle between the two dogs, θ = 25°
let the distance ran by Edison in 5 seconds = x = (10 m/s x 5 s) = 50 m
let the distance ran by Einstein in 5 seconds = y = (8 m/s x 5 s) = 40 m
let the distance between the two dogs after 5 seconds = z
x , y and z forms a triangle with an angle between x and y as θ
The third side, z, can be calculated using cosine rule
z² = x² + y² - 2xyCosθ
z² = 50² + 40² - (2 x 50 x 40)Cos25
z² = 4100 - 4000Cos25
z² = 474.7689
z = √474.7689
z = 21.789 m ≅ 21. 8 m
Therefore, the dogs are 21. 8 m from each other in 5 seconds
one day sally won the lottery she won 654321 dollars and her brother mark won 76543 dollars how much money is there together?
Answer:
730864
Step-by-step explanation:
654321 +76543=730864
You weigh six packages and find the weights to be 20, 12, 52, 16, 48, and 44 ounces. If you include a package that weighs 60 ounces, which will increase more, the median or the mean?
Answer:
median
Step-by-step explanation:
The first step is to sort the numbers from largest to smallest (you could go the other way as well).
60 52 48 44 20 16 12
The median is the middle number 44 in this case. The median has 3 numbers on its left and 3 on its right (in this case). 44 has 60 52 48 or its left and 20 16 and 12 on its right.
The mean is the average. We'll call it the new average
The mean is 60 + 52 + 48 + 44 + 20 + 16 + 12 = 252
The new mean is 252 / 7 = 36
=====================
The old median is the average between the middle 2 numbers (before you added 60 you had 6 numbers)
52 + 48 + 44 + 20 + 16 + 12 = the average of 44 + 20 which 64/2 = 32
The old mean was (52 + 48 + 44 + 20 + 16 + 12)/6 = 32.
=======================
The median increased from 44 to 32 = 12
The mean went from 32 to 36 which is 4
Answer: the median increased more
Abdul drove four trips that totalled 426 km. The second trip was 4 less than double the first. The third trip was double the second and the fourth trip was 18 more than triple the first. How far was each trip? Please help!!!
Answer:
Let the first trip be x
Second trip is 2x-4
Third trip is 2(2x-4)
Fourth trip is 3x + 18
x + (2x-4) + 2(2x-4)+3x+18 = 426
x + 2x -4 + 4x - 8 + 3x + 18 = 426
10x + 6 = 426
10x = 426-6
x = 420/10 = 42 km
Second trip was
2x-4 = 2(42)-4 = 84-4 = 80 km
Third trip was
2 * 80 = 160 km
Fourth trip was
3(42) + 18 = 144 km
Choose the true statement.
-858
-8>8
-8= 8
the answer is 8=8
Step-by-step explanation:
it just is
What is the mid point of the segment shown below please help
Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written using
function notation?
f(y) = -1/3y+4/3
f(x) = -3x+4
f(x) = -1/3x + 4/3
f(y) = -3y+4
profit on the dead
(a) A man bought two books for Rs 1040. He sold one at a loss of 15% and other at a profit of
36%
then he found that each book was sold for the same price. Find the cost price of each book.
Answer:
640 and 400
Step-by-step explanation:
Cost of books: x and 1040 -x
x sold at a loss of 15%= 0.85 x
1040 -x sold at a profit of 36% = (1040 - x)*1.36
x*0.85= (1040-x)*1.360.85x+1.36x= 1040*1.362.21x= 1414.4x= 1414.4/2.21x= Rs. 640Rs. 1040 - x= R. 400solve this equation please
5X2 - 15 = 5
Answer:
x = 2 or x = -2
Step-by-step explanation:
5x² - 15 = 5
⇌
5x² = 15 + 5
⇌
5x² = 20
⇌
x² = 20/5 = 4
⇌
x² = 2²
⇌
x² - 2² = 0
⇌
(x - 2)(x + 2) = 0
⇌ we use the zero product property
x - 2 = 0 or x + 2 = 0
⇌
x = 2 or x = -2
simplify 36x^2/64x^2y
Answer: 3/4
Step-by-step explanation:
1. square root the denominator and nominator, 36= 6 and 64= 8
2. put them together (6/8)
3. simplify 6/8
4. 6/8 divided by 2
5. 3/4 is your answer
can someone help me to find TSA of this figure?
Answer :
is approximately 100 cm ²
Step -by-step explanation
[tex]r \: = 10 \\ l \: = 21.81 \\ T.S.A \: of a \: cone\: = \pi \times r(r + l)[/tex]
[tex] \frac{22}{7} \times 10(10 + 21.81) \\ \frac{22}{7} \times 10(31.81) \\ \frac{22}{7} \times 318.1[/tex]
[tex] \frac{22}{7} \times 318.1 \\ = 999.7 \\ = 100 {cm}^{2} [/tex]
Simplify the expression below. (–7x + 4) – (2x – 8)
Answer:
- 9x + 12
Step-by-step explanation:
Given
(- 7x + 4) - (2x - 8) ← distribute parenthesis by 1 and - 1
= - 7x + 4 - 2x + 8 ← collect like terms
= - 9x + 12
In a survey of 150 people, 60 like cricket only 40 like football only
and 30 do not like them, by drawing Venn-diagram firid the number
of people who like both:
[tex]the \: answer \: is \: 20. \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Add 30 to the product of 12 and 6 and
divide the
result by
6. The final
answer
Is what?
I don’t know how to figure out the ratio of the areas. The area for HGEF is 60.5 (121/2) and the area for JKLM is 378.125 (3025/8). I know the areas are right because the previous questions says they are. Thank you so much!
Answer:
25 : 4
Step-by-step explanation:
Given 2 similar figures with ratio of sides = a : b , then
ratio of area = a² : b²
For the given figures the ratio of corresponding sides is
JK : EF = 20 : 8 = 5 : 2 , thus
ratio of areas = 5² : 2² = 25 : 4
Using the following image, find the midpoint of the line by completing the problems below. The midpoint is what?
Answer:
1,1
Step-by-step explanation:
just a guess
The midpoint of the line segment AB is (1, 1).
We have,
To find the midpoint of a line segment with two given endpoints, we can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint (M) between two points (x₁, y₁) and (x₂, y₂) can be calculated as:
M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Using the given endpoints:
A = (0, 4)
B = (2, -2)
We can substitute these values into the midpoint formula:
M = ((0 + 2) / 2, (4 + (-2)) / 2)
M = (2/2, 2/2)
M = (1, 1)
Therefore,
The midpoint of the line segment AB is (1, 1).
Learn more about midpoints of line segments here:
https://brainly.com/question/13792156
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The figure shows five points. A point has been translated right and up.
Based on the graph, which statements about the points could be true? Check all that apply.
1. Point D could be the image of B.
2. Point C could be the image of A.
3. Point E could be the image of C.
4. Point D could be the image of A.
5. Point E could be the image of B.
6. Point C could be the image of E.
Moving to the right and up, the only two points that could be placed in another point would be C or B
The answer would be 6. point C could be the image of E
Answer:
im confident the answer is A C E
Step-by-step explanation:
Please answer fast its for khan academy
Please help! Correct answer only!
Out of 250 tickets in a raffle, one ticket will win a $190 prize, one ticket will win a $120 prize, one ticket will win a $90 prize, and one ticket will win a $50 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
$____
Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
HELP FAST ILL GIVE A DECENT AMOUNT OF POINTS! A cylindrical water tank with an open top has a volume of 3818m3 and a radius of 9 m. Calculate the height of the tank. Round your answer to the nearest whole number.
Answer:15m
Step-by-step explanation:
The volume of a cylinder= πr^2h
Radius=9m
Volume=3818
Height=?
3818=22/7 x 9^2 x h
26726=22 x 81 xh
26726=1782h
H = 14.9
Height= 15m
If there is something that is not clear, let me know
the volume of a cube whose edge is 6cm long is
Answer:
216 cm^3
Step-by-step explanation:
Volume of a cube=s^3
6 cm^3=216 cm^3
This graph shows how the length of time a bicycle is rented is related to the rental cost. What is the rate of change shown in the graph?
A. 2 hours/dollar
B. 4 hours/dollar
C. $4/hour
D. $2/hour
Answer:
$4/ hour
Step-by-step explanation:
every hour you go you add 4 dollars
example: 1 hour is $2
2 hours is $6
Ansley’s age is 5 years younger than 3 times her cousin’s age. Ansley is 31 years old.
Let c represent Ansley’s cousin’s age. What expression, using c, represents Ansley’s age?
Answer: the correct answer is 3c-5
Step-by-step explanation: I just solved it
Note that the expression "3c - 5" represents Ansley's age, and if Ansley is 31 years old, her cousin's age (c) would be 12.
How to compute the aboveAccording to the given information, Ansley's age is 5 years younger than 3 times her cousin's age.
We can represent this mathematically as -
Ansley's age = 3 * Cousin's age - 5
Using the variable c to represent the cousin's age, the expression representing Ansley's age would be -
3c - 5
Thus , the expression "3c - 5" represents Ansley's age in terms of her cousin's age (c).
Learn more about expression at:
https://brainly.com/question/1859113
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Given the function f(x) = -5|x + 1|+ 3, for what values of x is f(x) = -12?
x = -2, x = -4
x = -2, x = 4
x = 2, x = -4
x = 2, x = 4
Answer:
x =2 x = -4
Step-by-step explanation:
-5|x + 1|+ 3 = -12
Subtract 3 from each side
-5|x + 1|+ 3-3 = -12 -3
-5|x + 1| = -15
Divide each side by -5
-5/-5|x + 1| = -15/-5
|x + 1| = 3
Since this is an absolute value, we have two solutions one positive and one negative
x+1 = 3 x+1 = -3
Subtract 1 from each side
x+1-1 = 3-1 x+1-1 = -3-1
x =2 x = -4
Answer:
the answer is c
Step-by-step explanation:
Latoya paid $17.64 for a 7.94-kg bag of dog food. A few weeks later she paid $18.88 for an $8.39-kg bag at a difference store. Find the unit price for each bag. Then state which bag is the better buy based off the unit price. Round your answer to the nearest cent
Answer: The answer is given below
Step-by-step explanation:
From store 1:
Latoya paid $17.64 for a 7.94-kg bag of dog food. The unit price will be the price paid divided by the quantity. This will be:
= $17.64/7.94
= $2.22 per kg
For store 2:
A few weeks later she paid $18.88 for an $8.39-kg bag at a difference store. The unit price in the second store will be: $18.88/8.39 = $2.25 per kg.
The unit price of the first store is a better buy because the price is cheaper.
Answer:
the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents
Step-by-step explanation:
To calculate the unit price we must divide by the price by the weight, thus we will obtain the value for each kilogram of dog food:
First price:
17.64 / 7.94 = 2.22
In other words, the price is 2.22 dollars per kilogram.
Second price:
18.88 / 8.39 = 2.25
In other words, the price is 2.25 dollars per kilogram.
Which means, that the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents.
cos X +1 / cos X=40, find the value of cos square X +1/ cos square X
This is pseudo-trig. It has a trig function but it's irrelevant.
Let y = cos X
y + 1/y = 40
Squaring,
y² + 2(y)(1/y) + 1/y² = 1600
y² + 2 + 1/y² = 1600
y² + 1/y² = 1598
cos² X + 1/cos²X = 1598
Answer: 1598