Answer:
19.72 cm²
Step-by-step explanation:
A solid circular cylinder has a base radius 5 cm and a height 12.5 cm.
The volume of cylinder is given by :
[tex]V=\pi r^2 h\\\\=3.14\times (5)^2\times 12.5\\\\=981.25\ cm^2[/tex]
When r = 5.05, new volum becomes,
[tex]V=\pi r^2 h\\\\=3.14\times (5.05)^2\times 12.5\\\\=1000.97\ cm^2[/tex]
Increase in area = 1000.97 - 981.25 = 19.72 cm²
So, the increase in surface area of the cylinder is equal to 19.72 cm².
x^2 + 6x + 5 = 0 by completing the square. What are the solutions?
Answer: (X+1)(X+5)
I factored it out.
Bob went on 8 hikes.
The hikes were: 2 miles, 5 miles, 1 miles, 5 miles, 1 miles, 2 miles, 3 miles, 4 miles
What was the range of the lengths of Bob's hikes?
2 miles
3 miles
4 miles
5 miles
The range is the difference between the longest hike and the shortest hike.
Longest = 5
Shortest = 1
Range = 5-1 = 4 miles
Which equation has the same solution as x2 + 16x – 11 = 4?
Answer:
x^2 + 16x - 15 = 0.
Step-by-step explanation:
x^2 + 16x – 11 = 4 Subtract 4 from both sides:
x^2 + 16x - 15 = 0 is one equation with the same roots.
Also any equation which is a multiple of the above will have the same roots. For example if we multiply by 3:
3x^2 + 48x - 45 = 0.
A rabbit (primary consumer) was preyed upon and consumed by a fox (secondary consumer). Before being consumed, the rabbit had eaten leaves and berries. The leaves and berries contained 20 kJ of energy. How many kilojoules of the energy from the leaves and berries did the fox obtain after eating the rabbit?
Answer:
2kJ
Step-by-step explanation:
Use the 10 percent rule:
20kJ=20,000J
20,000J*0.10=2,000J=2kJ
If right you’ll get brainliest
The temperature increased by 10°F.
Step-by-step explanation:
To solve this question, solve this equation:
[tex]-6+X=4[/tex]
Flip the equation so it is easier to solve:
[tex]4-(-6)=X[/tex]
Two negatives = A positive so:
[tex]4+6=X[/tex]
Then, add to solve the equation:
[tex]10=X[/tex]
The temperature increased by 10.
Write two numbers that multiply to the value on top and add to the value on bottom. -60−60 -4−4 \times× ++
Answer:
The two numbers are 6 and -10
Step-by-step explanation:
Given
[tex]Product = -60[/tex]
[tex]Sum =-4[/tex]
Required
Two numbers that satisfy the above
Let the two numbers be x and y.
So:
[tex]x * y = -60[/tex]
[tex]x + y = -4[/tex]
Make x the subject
[tex]x = -4 - y[/tex]
Substitute [tex]x = -4 - y[/tex] in [tex]x * y = -60[/tex]
[tex](-4 -y) * y = -60[/tex]
Open bracket
[tex]-4y -y^2 = -60[/tex]
Rewrite as:
[tex]y^2 + 4y - 60 = 0[/tex]
Split
[tex]y^2 + 10y - 6y - 60 = 0[/tex]
Factorize
[tex]y(y + 10) - 6(y + 10) = 0[/tex]
Factor out y + 10
[tex](y - 6) (y + 10) = 0[/tex]
Solve for y
[tex]y -6=0\ or\ y+10=0[/tex]
[tex]y =6\ or\ y=-10[/tex]
Recall that:
[tex]x = -4 - y[/tex]
So:
[tex]x = -4-6= -10[/tex]
or
[tex]x = -4--10= 6[/tex]
So:
[tex]y =6\ or\ y=-10[/tex]
[tex]x = -10\ or\ x =6[/tex]
The two numbers are 6 and -10
An airplane altitude in feet during its descend can be found using the function f(x)=-200x+20,000. After new government regulations become law the descent is now modeled by the function g(x)=-200x+20,500. Which statement describes the change?
Answer:
The airplane starts its descent from an altitude 500 feet higher.
Step-by-step explanation:
Given that:
F(x) = - 200x+20,000
g(x) = -200x+20,500
The functions are written in slope intercept format :
With a negative slope, the intercept gives the point which the rate of change begins in the vertical axis :
The slope is -200 ; which means that the descent rate of the airplane is 200
The intercept value however changes from 20,000 in f(x) to 20500 in g(x). This means that the height at which descent starts is now at a height of 20500 which is (20500 - 20000) = 500 miles higher than before.
Please help me with this ASAP
help me please i cant get it
Answer:
Let's define the cost of the cheaper game as X, and the cost of the pricer game as Y.
The total cost of both games is:
X + Y
We know that both games cost just above AED 80
Then:
X + Y > AED 80
From this, we want to prove that at least one of the games costed more than AED 40.
Now let's play with the possible prices of X, there are two possible cases:
X is larger than AED 40
X is equal to or smaller than AED 40.
If X is more than AED 40, then we have a game that costed more than AED 40.
If X is less than or equal to AED 40, then:
X ≥ AED 40
Now let's take the maximum value of X in this scenario, this is:
X = AED 40
Replacing this in the first inequality, we get:
X + Y > AED 80
Replacing the value of X we get:
AED 40 + Y > AED 80
Y > AED 80 - AED 40
Y > AED 40
So when X is equal or smaller than AED 40, the value of Y is larger than AED 40.
So we proven that in all the possible cases, at least one of the two games costs more than AED 40.
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Find the volume of a right rectangular prism if the dimensions of the base are 4 centimeters by 9 centimeters and the height is 11 centimeters.
Answer:
396 cubic centimeters
Step-by-step explanation:
Given that
The dimension of the base is 4 centimeter by 9 centimeter and the height is 11 centimeter
We need to find out the volume of the right rectangular prism
We need to apply the following formula
As we know that
Volume = lwh
here
l denotes the length
w denotes the width
And, h denotes the height
= (4) (9) (11)
= 396 cubic centimeters
Answer:
A 396 cm^3 is correct
Step-by-step explanation:
What is the area of the parallelogram?
21 cm
15 cm
20 cm
O 82 cm
300 cm?
O 315 cm?
O 420cm
Complete Question
What is the area of the parallelogram?
Slant Height = 21 cm
Height = 15 cm
Base = 20 cm
Answer:
300cm²
Step-by-step explanation:
The formula for the area of the parallelogram = Base × Height
Base = 20cm
Height = 15cm
Area = Base × Height
= 20cm × 15cm
= 300 cm²
Therefore, the area of the parallelogram is 300 cm²
Answer:B!300 cm!
Step-by-step explanation:hope this helps!!happy Friday!
Dave jarred 12 liters of jam after 6 days. How much jam did Dave jar if he spent 9 days making jam?
Answer:
18 liters of jam after 9 days
Step-by-step explanation:
12 liters = 6 days
12 liters ÷ 6 days = 2 liters per day
2 liters per day x 9 days = 18 liters of jam in 9 days
Dave jarred 18 liters of jam in 9 days
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Pls help I will give branlist answer on the best one
Don’t explain it just strait up give me the answer for 1,2 and 3
Answer:
Plz explain how to do this. Do I put numbers or what?
Step-by-step explanation:
When you tell me, I'll answer! <3
160 is what percentage of 40?
Answer:
400
Step-by-step explanation:
Answer:
400%
Step-by-step explanation:
If you meant what percentage 40 is of 160, its 25%
40/160= 1/4= 25%
160/40= 4/1= 400%
Quadrilateral A’B’C’D’ is a dilation of ABCD about point F.
Please Help. Urgent
What is the scale factor?
A. 0.4
B. 1.5
C. 2.5
D. 5
The answer to the equation is 2.5
the average length of a doves egg is 7 1/2 inches. the average length of a ravens egg is 6/10 inches. about how many more inches is the doves egg to the ravens
Answer:
7 1/10 inch
Step-by-step explanation:
Find the distance between points.
Answer:
10
Step-by-step explanation:
Answer:
the answers is 10:))))))
Henri buys 126 inches of a fabric that costs $12 for each yard. How much dos Henri pay for the fabric
Answer: $47.28
Step-by-step explanation:
There are 126 inches of fabric.
You need to convert this to yard as that is the pricing unit.
1 yard = 36 inches
126 inches is:
= 126/32
= 3.94 yards
Cost is $12 per yard so Henry pays:
= 12 * 3.94
= $47.28
Please help me please I really need help please
Answer:
See attached
Step-by-step explanation:
Solution is in the attached picture
Kim and Kate sell gym memberships. Kim earned $50 her first day of work and $75 each day after that. Kate earned $35 her first day of work and $75 each day after that. Part A Find the pattern for calculating the amount that Kim and Kate each earn. Use the drop-down menus to complete the statements. For Kim, start at 50 and add 75 for each day after the first day. For Kate, start at 35 and add 75 for each day after the first day. Part B How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all. 180 225 260 275 330 375 Kim will have earned $ and Kate will have earned $ after 4 days.
For Kim, start at 50 and add 75 for each day after the first day.
For Kate, start at 35 and add 75 for each day after the first day.
Part B
How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all.
Kim will have earned $ 275 and Kate will have earned 260 after 4 days.
Using the graph below, calculate the average rate of change for f(x) from
x = 0 to x =2
1) -4
2) -2
3) 2
4) 4
Answer:
4
Step-by-step explanation:
Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
Where,
a = 0,
f(a) = f(0) = -2 (from the graph given)
b = 2,
f(b) = f(2) = 5 (from the graph)
Plug in the values
Average rate of change = [tex] \frac{5 - (-2)}{2 - 0} [/tex]
[tex] = \frac{7}{2} [/tex]
= 3.5 ≈ 4 (approximated)
Write x^3- 7x + 7x^5 - 19 + x^2
in standard form.
A. -19 + 7x5 - 7x + x3 + x2
B. x3 – 7x + 7x5 – 19 + x2
0
C. 7x5 + x3 + x2 - 7x - 19
O D. -19 - 7x + x2 + x + 7x5
Answer:
C
Step-by-step explanation:
A polynomial in standard form is first term, variable with largest exponent followed by decreasing exponents to the last term, the constant
Given
x³ - 7x + 7[tex]x^{5}[/tex] - 19 + x² ← rearrange terms
= 7[tex]x^{5}[/tex] + x³ + x² - 7x - 19 ← in standard form → C
Select all of the expressions that are equal to 1/8
8÷1
2÷16
2÷1/4
1÷8
1/4÷2
Answer:
Step-by-step explanation:
2/16
1/8
8/1=8
2/16=0.125 which is equal to 1/8
2/14=1/7
1/8=1/8 is 2/16 simplified so they are the same
14/2=7
What decimal is equivalent to the fraction 12/15?
A. 0.07
B. 0.08
C. 0.7
D. 0.8
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 50 pizzas in all, 10% of which were mushroom pizzas. How many mushroom pizzas did the cafeteria make?
Answer:
5 mushroom pizzas
Step-by-step explanation:
Find how many mushroom pizzas they made by finding 10% of 50:
50(0.1)
= 5
So, the cafeteria made 5 mushroom pizzas
Answer:
50×10/100= 5
The cafeteria made 5 mushroom pizza
Find the exact values of csc and sec
Answer:
cosec theta = 5/4
sec theta = 5/3
Step-by-step explanation:
Given that;
cot θ = 3/4
1/tanθ = 3/4
tanθ = 4/3
since tanθ = opp/adj
opp = 4
adj = 3
hyp^2 = 4^2 + 3^2
hyp^2 = 16+9
hyp^2 = 25
hyp = √25
hyp = 5
sin theta= opp/hyp
sin theta = 4/5
cosec theta = 1/sin theta
cosec theta = 1/(4/5)
cosec theta = 5/4
Get sec theta;
sec theta = 1/costheta
sec theta = 1/(3/5)
sec theta = 5/3
Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning 38 x+7 x+7 x+7 x+7 4(x + 7) = 38
Answer:
x = (-158)/87
Step-by-step explanation:
Solve for x:
38 x + 7 x + 7 x + 7 x + 7×4 (x + 7) = 38
Hint: | Multiply 7 and 4 together.
7×4 = 28:
38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 38
Hint: | Group like terms in 38 x + 7 x + 7 x + 7 x + 28 (x + 7).
Grouping like terms, 38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 28 (x + 7) + (38 x + 7 x + 7 x + 7 x):
28 (x + 7) + (38 x + 7 x + 7 x + 7 x) = 38
Hint: | Add like terms in 38 x + 7 x + 7 x + 7 x.
38 x + 7 x + 7 x + 7 x = 59 x:
28 (x + 7) + 59 x = 38
Hint: | Distribute 28 over x + 7.
28 (x + 7) = 28 x + 196:
28 x + 196 + 59 x = 38
Hint: | Add like terms in 59 x + 28 x + 196.
28 x + 59 x = 87 x:
87 x + 196 = 38
Hint: | Isolate terms with x to the left hand side.
Subtract 196 from both sides:
87 x + (196 - 196) = 38 - 196
Hint: | Look for the difference of two identical terms.
196 - 196 = 0:
87 x = 38 - 196
Hint: | Evaluate 38 - 196.
38 - 196 = -158:
87 x = -158
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 87 x = -158 by 87:
(87 x)/87 = (-158)/87
Hint: | Any nonzero number divided by itself is one.
87/87 = 1:
Answer: x = (-158)/87
pleasee helpp, thank you!!
Answer:
- 1/4
Step-by-step explanation:
i HOPE it helps!!!:)))
Can someone plz help me with this one problem pls I really need to get to and 85 !!
Answer:
I think it’s 28.3
Step-by-step explanation:
Sorry If I’m wrong
Answer:
im guessing somwere around 27