Answer:
Step-by-step explanation:
sqrt(169) = ±13
13*13 = 169
(-13)*(-13) = 169
Proving the converse of the Pythagorean theorem means proving that if the sum of the squares of the lengths of the shorter sides of a triangle equals the square of the length of the longest side, then the triangle is a right triangle
a^2 + b^2 = c^2
This is the Pythagorean theorem
a and b are the shorter sides and c is the longer side
will the answer to 3 × 6 be even or odd?
A cone and a cylinder have the same height and their bases are congruent circles
If the volume of the cylinder is 90 cm^3,
what is the volume of the cone?
Answer:
[tex]30cm^3[/tex]
Step-by-step explanation:
the volume of a cylinder is given by:
[tex]v_{cylinder}=\pi r^2 h[/tex]
and the volume of a cone is given by:
[tex]v_{cone}=\frac{\pi r^2 h}{3}[/tex]
since both have the same height and radius, we can solve each equation for [tex]r^2h[/tex] (because this quantity is the same in both figures) and then match the expressions we find:
from the cylinder's volume formula:
[tex]r^2h=\frac{v_{cylinder}}{\pi}[/tex]
and from the cone's volume formula:
[tex]r^2h=\frac{3 v_{cone}}{\pi}[/tex]
matching the two previous expressions:
[tex]\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}[/tex]
we solve for the volume of a cone [tex]v_{cone}[/tex]:
[tex]v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}[/tex]
substituting the value of the cylinder's volume [tex]v_{cylinder}=90cm^3[/tex]
[tex]v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3[/tex]
Answer:
volume of the cone = 30 cm³
Step-by-step explanation:
first write both the formula for finding the volume a cone and a cylinder
volume of a cone = [tex]\frac{1}{3}[/tex] πr² h
where r is the radius of the cone and h is the height of the cone
volume of a cylinder = πr²h
where r is the radius of the cylinder and h is the height of a cylinder
since the cone and the cylinder has the same height and they are congruent which implies they have the same radius, then
volume of a cone = [tex]\frac{1}{3}[/tex] πr² h
= [tex]\frac{1}{3}[/tex] (volume of a cylinder)
from the question given, volume of the cylinder = 90 cm³
volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
=[tex]\frac{1}{3}[/tex] × 90
= 30 cm³
Therefore, volume of the cone = 30 cm³
I need the answer.Help me out
The answer is [tex]\boxed{7},[/tex] where [tex]a=5[/tex] and [tex]b=2.[/tex]
Solution sketch:
Apply the Pythagorean theorem to find [tex]EC[/tex] and [tex]AE,[/tex] which you then use to find [tex]AD[/tex] and [tex]BC.[/tex] Apply Heron's formula to [tex]\triangle ABC[/tex] to find that its area is 10, and then use [tex][ABC]=\frac{(AB)(CF)}{2}[/tex] (base times height over 2) to finish by solving for [tex]CF.[/tex].
In a lab, a colony of 100 bacteria is placed on a petri dish. The population triples every hour.
1. How would you estimate the population of bacteria in. Make the minutes into a decimal and tell me what to substitute. Be specific on what you would do
a. 90 minutes?
b. 30 minutes?
2. How would you estimate the number of hours it would take the population to grow to 1,000 bacteria. Be specific on what you would do.
Reply as answers 1a, 1b, 2.
Answer:
1.a 519.615
1.b 173.21
2. It would take approximately 2.1 minutes
Step-by-step explanation:
If the population triples every hour then after one hour the population must be:
population(0) = 100
population(1) = 100*3 = population(0)*3
After two hours:
population(2) = population(1)*3 = population(0)*3*3 = population(0)*3²
After three hours:
population(3) = population(2)*3 = population(0)*3²*3 = population(0)*3³
Therefore the equation that will model the growth of the population is:
population(n) = 100*3^n
1. a.
We first need to convert the time from minutes to hours, to do that we must divide by 60. We have:
time = 90/60 = 1.5
We then apply this value in the "n" from the equation above:
population(1.5) = 100*3^(1.5) = 519.615
1.b.
We have to follow the same steps as before:
time = 30/60 = 0.5
population(0.5) = 100*3^(0.5) = 173.21
2.
We now use the same equation as before, but we want to solve for n isntead of "population". We have:
1000 = 100*(3^n)
100*(3^n) = 1000
3^n = 1000/100
3^n = 10
ln(3^n) = ln(10)
n*ln(3) = ln(10)
n = ln(10)/ln(3) = 2.095
It would take approximately 2.1 minutes
a box measures 1/3 ft.long, 1/4 ft. wide, and 1/6 ft. high. find the volume of the box in inches. do not incluye units in your answer
Answer:
23 in
Step-by-step explanation:
Convert the stuff they gave you to inches 4*3*2= 23
then use the volume formula
i hope this helped <33
Put in order the steps
Debbie wants to plan a monthly budget for her family. Sequence the steps that Debbie needs to take for preparing her personal budget
categorize the expenses into those that
could be avoided and those that are not
avoidable (like mortgage payments)
write down all the expenses that the
family incurs for the month
cut down on the expenses that have been
identified as avoidable
translate the monthly budget into a yearly
budget to achieve long term goals
invest a small part of the money saved in
something that could help the money
increase in value
Answer:
-write down all the expenses that the family incurs for the month
- categorize the expenses into those that could be avoided and those that are not avoidable (like mortgage payments)
- cut down on the expenses that have been identified as avoidable
- invest a small part of the money saved in something that could help the money increase in value
- translate the monthly budget into a yearly budget to achieve long term goals
Step-by-step explanation:
Budgeting is the process by which revenues and expenses are estimated over a period of time.
Budgets are are usually reviewed occasionally to meet current needs.
The aim of budgeting is to allocate sufficient funds to meet set goals and to reduce waste.
The process of budgeting will involve enumerating expenses, identifying avoidable expense, cutting down avoidable expense, investing funds saved, and translate monthly to yearly budget in order to achieve long term goals.
Answer:
1) write down all the expenses that the family incurs for the month
2) categorize the expenses into those that could be avoided and those that are not avoidable (like mortgage payments)
3) cut down on the expenses that have been identified as avoidable
4) invest a small part of the money saved in something that could help the money increase in value
5) translate the monthly budget into a yearly budget to achieve long term goals
Step-by-step explanation:
Just took the test, good luck everyone!
please answer this, I need help
Answer:
Look at the attachment
Answer:
I might be wrong feel free to correct
A:
x+6
B:
5-y
C:
8+N
D:
7*X
Tasha hands out 5 note cards to each student in the class. She hands out all of the 145 note cards contained in the package. How many students are in the class?
Answer:
145/5
Step-by-step explanation:
5 to a student and 145 to everyone
145/5=29
29 is your answer
Hope this Helps
There are 29 students in the class.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Tasha hands out 5 note cards to each student in the class.
And, She hands out all of the 145 note cards contained in the package.
Here, 145 note cards contained in the package.
And, Tasha hands out 5 note cards to each student in the class.
Hence, Number of students = 145 / 5
= 29
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Plz help Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile
Purple
Pink
Orange
Number of times the tile is drawn
4
24
22
What is the experimental probability that Jenny will pull out an orange tile? 22 over 50 17 0ver 50 22 over 28 or 17 over 28
Answer:
22/50?
Step-by-step explanation:
Answer:
22/50
Step-by-step explanation:
This is an experimental probability. This means that it is based on the experiment given to us. We know that out of the 50 times that she has pulled a tile out of the bag, she has gotten orange 22 of those times. Based on those results we can say that the probability of her choosing an orange again is 22/50. Or 44%.
The probability of getting a 6 after rolling a fair dice 16.
Abby is going to roll the dice 30 times.
Estimate the number of times the dice will land on a 6.
Answer:
P(6) = 5
Step-by-step explanation:
The dice is cast 30 times (k = 30)
So if the big numbers apply, then you would expect the outcome to be evenly distributed, meaning
5 x 1
5 x 2
5 x 3
5 x 4
5 x 5
5 x 6
____ +
30 casts in total (evenly distributed over all numbers of the dice)
P(6) = 1/6 * 30
P(6) = 5
<A and <B are supplementary angles. If m<A= (8x-25)° and m <B=(7x-5)° , then find the measure of <B. answer asap?
Answer:
Step-by-step explanation:
∠A + ∠B = 180 {supplementary angles}
8x - 25 + 7x - 5 = 180 {bring the like terms together}
8x + 7x - 25 - 5 = 180 {add the like terms}
15x - 30 = 180 {add 30 to both the side}
15x = 180 +30
15x = 210 {divide both sides by 15}
15x/15 = 210/15
x = 14
∠B = 7x - 5 = 7*14 - 5
= 98 - 5
∠B = 93°
Answer:
Step-by-step explanation:
27
What is the product of 2x + y and 5x – y + 3?
Answer:10x^2+11xy-6y^2
Step-by-step explanation:
( 2 x + 3 y ) ( 5 x − 2 y ) = 2 x ( 5 x − 2 y ) + 3 y ( 5 x − 2 y )
= 10 x 2 − 4 x y + 15 x y − 6y 2
= 10 x 2 + 11 x y -6 y 2 .
Simplify. Rewrite the expression in the form y^ny n y, start superscript, n, end superscript. y^{-4}\cdot y^{3}=y −4 ⋅y 3 =y, start superscript, minus, 4, end superscript, dot, y, cubed, equals
Answer:
[tex]y^{-4}\cdot y^3=y^{-1}[/tex].
Step-by-step explanation:
The given expression is
[tex]y^{-4}\cdot y^3[/tex]
We have to simplify the above expression. in form of [tex]y^n[/tex].
Using property of exponents, we get
[tex]y^{-4}\cdot y^3=y^{-4+3}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
After addition of exponents, we get
[tex]y^{-4}\cdot y^3=y^{-1}[/tex]
Therefore, [tex]y^{-4}\cdot y^3=y^{-1}[/tex].
2. Is the following quadratic equation in Vertex form?
y = - (x + 2) + 4
O NO
O Yes
Answer:
Step-by-step explanation:
No. y = - (x + 2) + 4 is not even a quadratic.
If you want a quadratic you must indicate squaring: y = - (x + 2)^2 + 4.
This IS in vertex form; the vertex is at (-2, 4).
Max Spent his allowenc on snacks at the gas station.he brought 3 packs of gum $1.29 each and two candy bars at $0.89 how much did he spend in all
Answer:
$5.65
Step-by-step explanation:
1.29 x 3 + 0.89 x 2= $5.65
:3
When 50 pounds of a compound are produced, the manufacturing cost is described by x
and the selling price is described by x^2 + 8x - 20.
What is ratio of the cost to the selling price when x = 50?
Answer:
45
Step-by-step explanation:
y
PLEASE HELP ME WITH MY GEOMETRY 20 POINTS
x² + 2x + y² + 4y = 20
We complete the square in both x and y. For each we add half the linear coefficient, squared. So (2/2)²=1 for x and (4/2)²=4 for y. We add them to both sides to keep the equation the same.
x² + 2x + 1 + y² + 4y + 4 = 20 + 1 + 4
Now the left side is the sum of squares and the right side is the squared radius.
(x + 1)² + (y + 2)² = 5²
Standard form is (x-p)² + (y-q)² = r² for center (p,q) and radius r. Note the minus signs.
We read off the answer:
Answer: Center (-1, -2), radius 5.
Solve.
3(1−2)<3
Please I need help
I will give brainlyest!!
Answer:
-3<3
Step-by-step explanation:
youre welcome
Answer:
45
Step-by-step explanation:
Use the formula to help you answer the question below. Do not include units
in your answer.
Rate . Time = Distance
How many hours will it take to complete a 45-km bike ride if you go 12 km per
hour the whole time?
It will take about 3.75 hours to complete.
How many different outcomes can happen from spinning a four-section spinner twice, according to the diagram given?
red
yellow
red
yellow
blue
green
red
yellow
blue
green
red
yellow
blue
green
red
yellow
blue
green
blue
green
2000 Gayriyon, no
4
8
12
16
baseball card that was valued at $200 in 1980 has intreased in value by 7% each year. Write a function to model this situation, then find the
value of the card in 2016.
The function to represent this situation is A = P( NR+1 ) and the amount in 2016 is $704.
What is simple interest?"Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time. In simple interest, the principal amount is always the same".
For the given situation,
Principle, P = $200
Rate of interest, R = 7% = 0.07
Number of years from 1980 to 2016, N = 36
The total amount in 2016 can be modeled as the equation,
[tex]A=P(NR+1)[/tex]
⇒ [tex]A = 200[(36)(0.07)+1][/tex]
⇒ [tex]A=704[/tex]
Hence we can conclude that the function to represent this situation is A = P( NR+1 ) and the amount in 2016 is $704.
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need help mark brain 30 points
Answer:
(6000)(0.03)(5)=$900
(1500)(0.0425)(4)=$255
(580)(0.02)(6)=$69.60
(1200)(0.039)(2.5)=$117
What’s the answer??.??”
Answer:
77
Step-by-step explanation:
the formula is base times height. 7 is the height, add 8 + 3 to get 11 so there's only 1 base. multiplying the 7 and 11 to get 77
Which function describes the graph shown below?
On a coordinate plane, a curve crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.
y = one-half sine (x) minus 2
y = 2 sine (x) minus one-half
y = one-half cosine (x) minus 2
y = 2 cosine (x) minus one-half
Answer:
A) y= 1/2 sin(x) -2
Step-by-step explanation:
edge 2020 this is the answer, i just took the quiz
The function shown by the graph is a sine function give. as: y = one-half sine (x) minus 2.
What is the graph of a sine function?The graph of a sine function has and up-down curve that repeats every 2π radians, or 360°.
The graph starts at 0, heads up to 1 by π/2 radians or 90° and then heads down to −1.
The given graph of the function crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.
Therefore, the function shown by the graph is the sine function; y = one-half sine (x) minus 2.
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Help!! QUICKLY!! LESS LOOKING MORE ANSWERING!!
Answer:
1/3
Step-by-step explanation:
To find equivalent fractions, we can multiply or divide the original fraction by 1, since it won't change the value.
That means, dividing the numerator and denominator by the same integer.
For example, in this case, we divided both the numerator and denominator by 6.
6/6=1
18/6=3
So we divided the entire fraction by 6/6, which doesn't change the value of the fraction, just simplifies it.
Answer: [tex]\frac{1}{3}[/tex]: D
Step-by-step explanation:
This is simple, just simplify the fraction.
[tex]\frac{6}{18}[/tex]
You have to find the greatest common factor. In this case, it is 6 because both of them can be divided by 6.
When you divide 6 by 6, you get 1.
When you divide 18 by 6, you get 3.
Therefore, your answer is [tex]\frac{1}{3}[/tex].
Hope this helps! :)
Create an equation that has only one solution
Answer:
2+2=4
Step-by-step explanation:
....................
Answer:
5+10=25-10
Step-by-step explanation:
They both equal fifteen so it's good
ASAP!!!! I WILL MARK YOU BRAINIEST!!! Two men decide to drive to a distant town, taking the same route. The first leaves 2 hours ahead of the second and drives at 60 km per hour, while the second man drives at 90 km per hour. How many hours will it take the second man to catch up with the first man?
Answer:
4 hours.
Step-by-step explanation:
If the first guy is driving at 60 km, in 2 hours he is 120 km away. The second guy, leave two hours after. He will drive and in 2 hours he is 180 km. now if the second car keeps going then
120+ 60 + 60 +60 + 60 = 360
180 + 90 + 90 = 360.
So, the two hours for the guy going at 90 km and another 2 hours is 4 hours, so it will take 4 hours for the second driver to catch up.
3) The two largest oil spills together released 298 million gallons of oil into the oceans. The smaller of the two released 58
million gallons less than the larger of the two. How many million gallons did the larger one release?
Answer:
Step-by-step explanation:
298-58=248
248/2=124
small one=124
big one=(124+58)=182
given that DEF XYZ , what is the measure of z? brainly
Answer:
77
Step-by-step explanation:
So first off, we know that those two triangles are congruent triangles, so those have the same measures. All angles have the same measures. We also know that all angles equal to 180 degrees.
So imagine putting them together:
So then you do 57+ 46=103
180-103=77
Hence the measure of z is 77 degrees
The volume of a rectangular prism is v = Lwh, where v is the volume, L is the length, w is the width, and h is the height. Rewrite this equation with w solved in terms of v, l, and h.
Answer:
w=v/lh
Step-by-step explanation:
lwh=v
To isolate w, we'd have to divide both sides by (lh)
Therefore, w = v/lh
Hope this helped and have a good rest of your day!
