Add
f(x) = 4x2 + 5x-1
g(x) = 2x2 + 5x + 3
Find the volume of the cylinder. Round to the nearest hundredth.
5 mm.
25.5 mm.
V=
mm3
Answer:
2002.77mm³
Step-by-step explanation:
Formula : pi × r²× height
pi × 5² × 25.5 = pi × 25 × 25.5 = 2002.765317mm³
Gail paid $118.65 for a varsity jacket. The price includes a 5% sales tax. How much was the jacket before the tax? $124.65
$113.00
$117.00
$112.72
Answer:
112.72
explaination:
Answer:
C the answer is C
Step-by-step explanation:
how many solutions does 4x+1=3x+2
one solution
no solution
infinitely many solutions
Answer:
one solution
Step-by-step explanation:
If you simplify the equation, it becomes 1x+1=2. Then you subtract the 1 from 2 and get 1x=1. Therefore, x=1 which is ONE SOLUTION.
Louis makes a model of a plane.
The wingspan of the model is 50 centimetres.
The wingspan of the real plane is 80 metres.
Work out the scale of the model.
Give your answer in the form 1:n
Answer:
1 : 1.6
For every centimeter on the model, it is 11.6 centimeters on the real plane
Step-by-step explanation:
The required value of the scale of the model in the form of 1:160.
Given that,
The wingspan of the model is 50 centimeter,
The wingspan of the real plane is 80 meter.
We have to determine,
The scale of the model and give your answer in the form 1 : n.
According to the question,
The wingspan of the model = 50 centimeter [tex]= \frac{50}{100} = 0.5m[/tex]
The wingspan of the real plane is 80 meter.
The ratio of the scale = 1:n
Therefore,
The equation of proportion is,
[tex]\frac{wingspan \ of \ the \ model}{wingspan\ of \ the \ palne} = \frac{1}{n}[/tex]
Putting all the values in the equation,
[tex]\frac{0.5}{80} = \frac{1}{n} \\\\n = \frac{1 \times 80}{0.5} \\\\n = 160[/tex]
The value of n = 160.
Hence, The required value of the scale of the model in the form of 1:160.
For the more information about Scale model click the link given below.
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Please help it's due today. Also please don't help if you don't know.
Answer:
D) [tex]8g^{6} h^{4} k^{12} -h^{25}k^{15}[/tex]
Step-by-step explanation:
You have to use the laws of exponents to solve this:
Power of a Power: [tex](a^{m} )^{n} = a^{mn}[/tex]. In this case, [tex](4g^{3} h^{2} k^{4} )^{3}[/tex], all of the numbers in the parenthesis need to be multiplied to the power of 3: [tex]4^{3} g^{9} h^{6} k^{12}[/tex].
Quotient of Powers: [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]. In this case, [tex]\frac{4^{3} g^{9} h^{6} k^{12}}{8g^{3} h^{2} }[/tex], all of the exponents need to be subtracted (but the 4³ (64) and 8 need to be divided): [tex]8g^{6} h^{4} k^{12}[/tex].
Use the Power of a Power again for the expression at the right: [tex](h^{5} k^{3} )^{5}[/tex]. You get: [tex]h^{25} k^{15}[/tex]. Keep the subtraction/negative sign where it is.
Together, you get: [tex]8g^{6} h^{4} k^{12} -h^{25}k^{15}[/tex].
Hope it helps!
What is the range of the data set below?
25, 24, 24, 24, 33
Answer:
9
Step-by-step explanation:
the range is the difference between the greatest value and the smallest one. The greatest value in the data set is 33, and the smallest is 24.
So u just subtract 24 from 33:
33 – 24 = 9
and that's your range! hope this helps!
Joe went on holiday to Spain.
His flights cost a total of £320
Joe stayed in an apartment for 3 weeks.
The apartment cost 560 euros each week.
Joe hired a car for 15 days.
The car hire cost 20.16 euros each day.
The exchange rate was £1 = 1.12 euros.
Work out the total cost, in pounds, of the flights, the apartment and the car hire.
Someone please help me with this
In a bag, there are red and green marbles in the ratio of 2:7. If there are 27 marbles in the bag, how many of them are green?
7
21
10
18
Answer:
21
Step-by-step explanation:
2 + 7 = 9
27/9 = 3
3 times 7 = 21
PLEASE HELP , IT'S DUE TOMORROW !!
Write a situation about today's sales for the following systems of equations and then determine how much of each menu item you sold e + f = 48 and e = 3f
Answer:
3x48+48 = 192
3x48= 144
144+48= 192
There has been sold 12 items of f and 36 items of e in the system.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are Given the system of equation:
(1) e + f = 48
(2) e = 3f
Then Substituting e=3f into e + f=48:
3f + f = 48
Adding similar terms:
4f = 48
Dividing both sides by 4:
f = 48/4
Simplifying:
f = 12
Replacing;
f=12 in e + f =48
e + 12 = 48
Now Subtracting -12 to both sides:
e = 48 - 12
e = 36
Thus There has been sold 12 items of f and 36 items of e.
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Im not smart, can someone pls help me?
Answer:
13- No because the size of the triangle can be different, meaning bigger side length
in 14 he is forgetting the lines at the angles. The little circular ones that say the angles are congruent.
Step-by-step explanation:
if a snail moves 1 1/2 feet in 3 3/4 hours, whats it speed in feet per hour?
Answer:
2.5 ft/hr Step-by-step explanation: divide the number of hours by the number of feet.
Step-by-step explanation:
Answer:
Hello!
2/5 feet per hour
d = vt
1 1/2 or (3/2) = v(3.75 hours or 15/4)
divide both sides by 3.75 hours
0.4 or 2/5
Hope this helps :))
Five sisters bought a present for their grandfather that cost each sister $10.80. They received a 10% discount. How much was the original price of the gift?
Answer:
$540
Step-by-step explanation:
Multiply 10.80 by the 5 sisters then divide your answer by 10%
The graph below shows the solution to which system of inequalities
Answer:
C. y </ 3/4x +10 and y<l -1/2x - 3
Step-by-step explanation:
Basically first do process of elimination with your focus on one equation
for example :: ( >l is greater then or equal to and <l is lease then or equal to)
focus -> y >l 3/4x + 10
1) determine which line has the y-intercept of positive 10
2) is the line dotted or straight? dotted line = > or < while straight line = >l or <l
this should get rid of B and D now
3) remember this = if the slope is - then the shaded portion would be the way that the less then sign is pointing
( y <l -4x then the shaded portion would be on the left side )
remember again = if the slope is + then the shaded portion would be the way that the greater then sign is pointing
( y <l 4x then the shaded portion would be on the right side )
so the line that we are focused on would have the right side shaded which means that it would be a <l ,so the answer would be C
hope this helped you understand how to solve these a bit better!
(tbh the day I figured how to solve these problems, I swear the whole world turned 180 degrees for me. )
2.9 divided by 97.526
show work please <3.
Answer: 0.029736
Step-by-step explanation: sorry i know it not the best but i couldnt do it another way anyways hope this helps
2 9 7 3 5 .
9 7 5 2 6 | 2 9 0 0 .
1 9 5 0 . 5 2
9 4 9 . 4 8 0
8 7 7 . 7 3 4
7 1 . 7 4 6 0
6 8 . 2 6 8 2
3 . 4 7 7 8 0
2 . 9 2 5 7 8
5 5 2 0 2 0
4 8 7 6 3 0
6 4 3 9 0
Would it be better to have a loan with 5% interest payback in 2 years, or a loan with 2% interest paid back in five years? Explain. Show work to justify your answer.
Step-by-step explanation:
If the interest on the loan is simple interest. Both the situation will have equal amount of interest ( 5*2 =10% of total amount). Therefore, it would be better to pay back with 2% interest paid back in five years. However, if the interest is compounded annually, 5% in 2 years will have lesser interest than 2% in 5 years. Hence, Former option would be better.
Where is the circumcenter of this obtuse triangle located?
O inside the triangle
O outside the triangle
O at a vertex of the triangle
on a side of the triangle
The circumcenter of this obtuse triangle located is outside the triangle. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
If all the angles of the triangle are acute angles. Then the location of the circumcenter will lie inside the triangle.
If one of the angles of the triangle is a right angle. Then the location of the circumcenter will lie on the hypotenuse of the right-angle triangle.
If one of the angles of the triangle is an obtuse angle. Then the location of the circumcenter will lie outside the triangle.
The circumcenter of this obtuse triangle located is outside the triangle. Then the correct option is B.
More about the triangle link is given below.
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A basketball is price at 37.00 if there is a 7% sales tax what is the final cost of the basketball
Answer:
$39.59
Step-by-step explanation:
37 increase 7% =
37 × (1 + 7%) = 37 × (1 + 0.07) = 39.59
An inequality is shown below.
-5x < 60
What is the solution?
Oxs 65
O x>-12
O x 65
Oxs-12
o
Answer:
-5x<60 divide both side by -5
x>-12
Pls tell me the answer only.
Use Sin Cos Tan to find the indicated angle
what is 43/10 as a mixed number
Answer:
4 3/10
Step-by-step explanation:
Answer:
4 3/10
Step-by-step explanation:
2. A pair of tennis shoes was purchased for $120. Since they were purchased,
their price has increased by 15%. What is the new price?
Answer:
$138
Step-by-step explanation:
$120 going up 15% = $138
Mariam is a waitress at a restaurant. Each day she works, Mariam will make a guaranteed wage of $30, however the additional amount that Mariam earns from tips depends on the number of tables she waits on that day. From past experience, Mariam noticed that she will get about $9 in tips for each table she waits on. How much would Mariam expect to earn in a day on which she waits on 19 tables? How much would Mariam expect to make in a day when waiting on t t tables?
Answer:
19 tables = $201
t tables = 9t+30
Step-by-step explanation:
the slope would be 9 because she gets $9 for each table (t), 30 would be the y-intercept because she will always get that amount each week.
Insert 19 to equation:
y(t) = 9(19) + 30
Solve:
201
Hope this helped :)
What is the solution of 5y + 2 = 42?
**please help due today I am behind please, please 17 points **
There are no more than 20 children in the daycare at any given time. Which inequality represents this situation?
1. c>20
2. c≥20
3. c≤20
5. c<20
Answer:
3
Step-by-step explanation:
It is number one.
if there are no more than 20, that means there are less. If one doesnt work try number 2.
your portfolio value has grown from 2500 to 3800 what is the percent of the growth rate
Answer:
52 percent.
Where: 2500 is the old value and 3800 is the new value. In this case we have a positive change (increase) of 52 percent because the new value is greater than the old value.
Answer:
52%
Step-by-step explanation:
Determine if the graph is a function then state the domain and range.
A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.
Line Test
Draw a vertical line. Make sure that a line passes through a graph.See if a line intercepts a graph more than one point or just only one.Result
If a line intercepts a graph more than one point, it is not a function.
However, if a line only intercepts a graph just one point, it is indeed a function.
The given graph from the question is a function because it passes line test.
Domain and Range
Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.
Range is the set of all y-values. We only focus on y-value or y-axis for Range.
Determine Domain from Graph
We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.
Determine Range from Graph
Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.
From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.
Answer[tex] \begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}[/tex]
Domain is set of all real numbers.
Range is greater or equal to 0.
Can some one help me on this the last answer since you can’t see it is CB=AC
FE DE
Answer:
C. AB/EF = BC/EF
Step-by-step explanation:
If the triangles are similar then the ratio of these side lengths must be equal.
Cora bought 80 feet of cable for $18.40. She needs 20 more feet. If the unit price is the same, how
much will she pay for the extra 20 feet of cable?
She will pay an extra $
Answer:
Step-by-step explanation:
20ft($18.40/80ft)=$4.60
Answer:
$4.6
Step-by-step explanation:
Use 18.40 and 80. if $18.40 is 80 feet, divide 18.40 by 4 to get 4.60. Now you know that you got 4.60, see if you can add 4.6 four times to get to 18.4. (You can.) So, 20 feet is $4.60 or $4.6.