I think the answer is in the question itself
x-9
Solve for
2u = 4/9
Simplify your answer as much as possible.
Answer:
2/9
Step-by-step explanation:
If you meant you want to find U,
1) Divide both side by 2. -> U = 4/9 divided by 2
2) You get U = 4/18, which you can further simplify by dividing 2 on top and bottom to get 2/9
Find the exact area of a circle having the given circumference.
3pi
A =
2.25
3
9
Answer:
A = 2.25πStep-by-step explanation:
The formula of an area of a circle:
[tex]A=\pi r^2[/tex]
r - radius
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
We have:
[tex]C=3\pi[/tex]
Substitute:
[tex]2\pi r=3\pi[/tex] divide both sides by 2π
[tex]r=1.5[/tex]
Substitute:
[tex]A=\pi(1.5)^2=2.25\pi[/tex]
This answer is correct, I double checked it and got it right on the assignment in OW. :)
PLZ HURRY IT'S URGENT!!!
Use graph paper and a straightedge to draw the figure. The set of points (2, 4), (5, 8), (11, 8), and (8, 4) identifies the vertices of a quadrilateral. Which is the most specific description to tell which figure the points form? A. parallelogram B. square C. rectangle D. rhombus
Answer:
Parallelogram
Step-by-step explanation:
graphing them makes two sets of parallel lines
The volume of the rectangular solid is _____ cubic inches
Answer:
45 cubic inches
I hope this helped you : )
Step-by-step explanation:
To find the volume you must use the formula ( Volume = Length x Width x Height)
So, ( 5 x 3 x 3 = 45)
45 cubic inches, it’s just l*w*h
debbie rode her bicycle 12 miles every day for 5 months. there were 153 days in these 5 months how many miles did she ride
She rode 1,836 miles in total.
Awire 4 1/2 feet long is been cut into small pieces of wire each one and 1/4 feet long what is the maximum number of smaller pieces of wire that can be cut from the original piece of wire
2,3,4,5
Answer:
3
Step-by-step explanation:
Wire is 4 1/2 feet, or 4.5 feet.
Each smaller wire needs to be 1 1/4 feet, or 1.25 feet.
How many whole 1.25 feet wire can we have from total of 4.5 feet wire?
Let's divide:
\[tex]\frac{4.5}{1.25}=3.6[/tex]
thus we can have 3 whole "1.25 feet long" wire and fractional amount.
Hence, maximum number of smaller pieces is 3
The equation for the circle is: x^2 + y^2 + 16x - 24y + 159 = 0
____________________________________________________
Answer:
The center would be (-8,12).
____________________________________________________
Step-by-step explanation:
First,we're going to have to simplify the equation. Here is the work below:
[tex]x^2+y^2+16x-24y+159=0\\\\(x+8)^2-64+y^2-24y+159=0\\\\(x+8)^2+y^2-24y=-159+64\\\\(x+8)^2+(y-12)^2-144=-159+64\\\\(x+8)^2+(y-12)^2=144-159+64\\\\(x+8)^2+(y-12)^2=49\\\\[/tex]
Now, you must use the "form of a circle" equation in order to find out the center and radius of a circle.
The equation is:
[tex](x-h)^2+(y-k)^2=r^2\\\\r=7\\h=-8\\k=12[/tex]
Since we got the answer of:
[tex](x+8)^2+(y-12)^2=49[/tex]
It matches with our equation of [tex](x-h)^2+(y-k)^2=r^2[/tex]
Our "h" represents the x axis on the graph, our "k" represents our y axis on a graph.
Therefore our x value would be -8 and our y value would be 12.
Your FINAL answer should be (-8,12)
____________________________________________________
[tex] {x}^{2} + {y}^{2} + 16x - 24y + 159 = 0 \\ \\ 1. \: x = \frac{ - 16 + 2i \sqrt{(y - 19)(y - 5)} }{2} \: \frac{ - 16 - 2i \sqrt{(y - 19)(y - 5)} }{2} \\ \\ 2. \: x = - 8 + i \sqrt{(y - 19)(y - 5)} \: \: - 8 - i \sqrt{(y - 19)(y - 5)} [/tex]
Make sure you put a comma between them
The height of a cylinder is 7 inches. Another cylinder with the same size base has double the volume. What is the height of the second cylinder?
Answer:
since it double the value multiply by 2
Step-by-step explanation:
Answer:
14 inches
Step-by-step explanation:
i got it right
What’s 3.24 rounded to the nearest tenth
Answer:
3.2 is the corrext amswr
Step-by-step explanation:
The answer is 3.2 because you only round up if it’s .5 or higher and round down if it’s .4 or lower
Jennifer has 5/6 of a candy. At and would like to split it equally between herself and her 4 friends. What fraction of the candy bar will each person get?
Answer:
1/6
Step-by-step explanation:
Candy = 5/6
5 people = 5/6
1 person
= 5/6 ÷ 5
= 5/6 x 1/5
= 1/6
Answer:
1/6
Step-by-step explanation:
What is the approximate length of arc s on the circle below? Use 3.14 for pi round your nearest tenth.
A) 14.1 in.
B) 22.5 in.
C) 42.3 in.
D) 56.5 in.
Answer:
A
Step-by-step explanation:
The arc length is calculated as
arc = circumference × fraction of circle
= 2π × 6 × [tex]\frac{135}{360}[/tex]
= 12π × [tex]\frac{3}{8}[/tex]
= [tex]\frac{36\pi }{8}[/tex] ≈ 14.1 in
Answer
14.1 in
Step-by-step explanation:
Length of the arc formula = circumference of the circle * central angle / 360
circumference of the circle formula = [tex]2\pi r[/tex]
where r is the radius of the circle
Radius = 6 in
central angle = 135 degrees
Length of the arc = [tex]2 \pi * radius* \frac{angle}{360}[/tex]
=[tex]2\pi*6* \frac{135}{360}[/tex]
= 14.137= 14.1 in
A farmer can spend no more than $4,000 on fertilizer and seeds. The fertilizer costs $2 per pound and seeds cost $20 per pound. To summarize the situation, the farmer writes the inequality: 2f + 20s ≤ 4,000, where f is the number of pounds of fertilizer and s is the number of pounds of seeds. Which graph's shaded region shows the possible combinations of fertilizer and seeds the farmer can buy?
Answer:
it is the 2nd graph
Step-by-step explanation:
The graph of the linear equation is a right-angle triangle whose height is 2000 units and base is 200 units.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
A farmer can spend no more than $4,000 on fertilizer and seeds. The fertilizer costs $2 per pound and seeds cost $20 per pound.
To summarize the situation, the farmer writes the inequality
[tex]\rm 2 y + 20 x \leq 4,000\\\\y \leq 2000 - 10x[/tex]
where y be the number of pounds of fertilizer and x be the number of pounds of seeds.
Then the graph is shown below.
More about the linear system link is given below.
https://brainly.com/question/20379472
Find the volume of the figure.
Answer:
V = 256 mm3
Hope this helps you out!
Answer:
D,256
Step-by-step explanation:
Use multiplication to do 8*10*3.2 you get 256
Andria is conducting an experiment to determine whether a new medication is effective in reducing swelling. She gets 1,000 volunteers with swelling and divides them into 2 groups. The control group does not receive any medication; the treatment group receives the medication. The patients in the treatment group show reduced signs of swelling. What can Andria conclude from this experiment?
Answer:
The medicine treats swelling
Step-by-step explanation:
"The control group does not receive any medication; the treatment group receives the medication. The patients in the treatment group show reduced signs of swelling. What can Andria conclude from this experiment?"
If she does not give placebo, which she should, then we can only conclude that the medication might be effective. Might, because the thought of the medicine fixing swelling might actually be what helps them.
This takes us to the next topic- placebo experiments.
Most good experiments, to elaborate, are "double blind," one group receives a placebo, and another the medication, and neither know which.
In this case, assuming that the placebo was ineffective, we can conclude that the medicine is effective in treating swelling.
The volume of a cylinder is 4,320π ft3. The diameter is 24 ft. What is the height of the cylinder?
ANSWER
The height is 30 feet
EXPLANATION
The volume of a cylinder is calculated using the formula;
[tex]V = \pi {r}^{2} h[/tex]
The diameter is 24 ft. This implies that the radius of the cylinder is 12ft.
We substitute known values to get:
[tex]4320\pi= \pi{(12)}^{2} h[/tex]
[tex]4320\pi=144 \pi h[/tex]
Divide both sides by 144π
[tex]h = 30ft[/tex]
How is the volume of a prism calculated?
add the area of the base to the height
subtract the area of the base from the height
multiply the area of the base by the height
divide the area of the base by the height
Multiply the area of the base by the height
Answer:
C) multiply the area of the base by the height
Step-by-step explanation:
Prism is a three dimensional figures.
The volume of a prism calculated by multiplying the area of the base and the height.
Volume of a prism = Base area * height.
For example:
Volume of a rectangular prism = base area * height = (lw)*h = lwh cubic units
Volume of a cube = Base area * height = (a*a)*a = a^2*a = a^3 cubic units
Volume of a cylinder = Base area * height = (πr^2)*h = πr^2 h
The answer is C) multiply the area of the base by the height
If n equals to 37cm and I equals to 12cm what is the length of M?
im not sure of this but I think u have to subtract 37 from 12 and that is 25
I don't know e thats any helpful
* don’t mind the marks* please help asap ( 10 points)
Answer:
median:36.5
mean:37
Step-by-step explanation:
to find medain put all of the numbers in order. then find the center number
for the mean add all of the numbers together ad divide it by the amount of data points there are
Answer:
median: 36.5
mean: 37
Step-by-step explanation:
log2-log4
what is the equivalent of the above?
Answer:
[tex\large\boxed{\log2-\log4=\log\frac{1}{2}}[/tex]
Step-by-step explanation:
[tex]\text{Use}\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\==========================\\\\\log2-\log4=\log\dfrac{2}{4}=\log\dfrac{1}{2}[/tex]
A bird caught a fish on the waters surface and flew in a straight line diagonal to the water for 100 yards. Then, it dropped the fish straight down. The fish landed at a spot 50 yards away horizontally from the point where the bird caught it.
Select the correct answers.
The bird flies at an angle of 1. ______ degrees from the water, and its height from the ground when it drops the fish is 2. _____ yards.
Blank 1 choices:
A) 30
B) 60
C) 78.7
Blank 2 choices:
A) 8.6
B) 86.6
C) 111.8
Random answers will be reported!
Answer:
1. B
2. B
Step-by-step explanation:
** Attached picture of the situation
The bird caught the fish at point A, flew until B (which is 100 yds away, dropped the fish at C (which is horizontally 50 yards from A).
1.
We want the angle that the bird creates with the water (horizontal). It is angle BAC. With respect to the right triangle, we can say that we know "hypotenuse" and "adjacent" side to angle BAC. cosine relates hypotenuse and adjacent, thus we can write:
[tex]Cos(BAC)=\frac{50}{100}\\Cos(BAC)=\frac{1}{2}\\BAC=Cos^{-1}(\frac{1}{2})\\BAC=60[/tex]
correct answer is B
2.
Here, we want to find the distance (length) of segment BC. With respect to the angle BAC (we found to be 60), we can say BC is "opposite". We know hypotenuse to be 100. So let's use sine, since sine is ratio of opposite to hypotenuse. Thus, we can write:
[tex]Sin(BAC)=\frac{BC}{100}\\Sin(60)=\frac{BC}{100}\\BC=Sin(60)*100\\BC=86.6[/tex]
correct answer is B
The answers should be B)60 and B) 86.6
Solve this system of linear equations. Separate the x- and y- values with a comma. 16x-5y=-28 8x-4y=-8
Answer:
(-3,-4)
Look at attached pictures for work and the text below for the explanation of the work. The brown numbers represent the step number it is.
Step-by-step explanation:
Start by getting either the x or y values in both equations the same number but opposite sign. Ex 16 and -16. I did x. Then add the equations eliminating one variable, in mine it was x, and the solve for the other variable, in mine it was y. Then plug that variable back into one of the two original equations and solve for the other variable, in mine I solved for x.
If 30 Coins In Quarters And Dimes Are Worth $4.80, How Many Of Each Coin Are There?
Answer:
There are 18 dimes and 12 quarters
Step-by-step explanation:
Remember that
1 Dime =$0.10
1 Quarter=$0.25
Let
x-----> the number of dimes
y-----> the number of quarters
we know that
x+y=30
x=30-y ------> equation A
0.10x+0.25y=4.80
Multiply by 100 both sides
10x+25y=480 ------> equation B
Substitute equation A in equation B and solve for y
10(30-y)+25y=480
300-10y+25y=480
15y=180
y=12 quarters
Find the value of x
x=30-y=30-12=18 dimes
therefore
There are 18 dimes and 12 quarters
Final answer:
To solve this problem, set up a system of equations and solve them simultaneously.
Explanation:
Let's solve this problem using a system of equations.
Let's assume that the number of quarters is 'x' and the number of dimes is 'y'.
We can set up two equations based on the given information:
Equation 1: x + y = 30 (since there are 30 coins in total)Equation 2: 0.25x + 0.10y = 4.80 (since the total value of the coins is $4.80)Solving these equations simultaneously, we can find the values of 'x' and 'y', which represent the number of quarters and dimes respectively.
By substituting the value of x from Equation 1 into Equation 2, we get:
0.25(30 - y) + 0.10y = 4.80
7.50 - 0.25y + 0.10y = 4.80
-0.15y = -2.70
y = 18
Substituting the value of y into Equation 1, we get:
x + 18 = 30
x = 12
Therefore, there are 12 quarters and 18 dimes.
Find f(-5)
f(x) = -4x + 3
For this case we have a function of the form[tex]y = f (x)[/tex]
Where:
[tex]f (x) = - 4x + 3[/tex]
We must find the value of the function when the variable x is -5.
Then, substituting, [tex]x = -5[/tex]
[tex]f (-5) = - 4 (-5) +3[/tex]
We have that by sign law[tex]- * - = +[/tex]
[tex]f (-5) = 20 + 3\\f (-5) = 23[/tex]
Answer:
[tex]f (-5) = 23[/tex]
ANSWER
[tex]f( - 5)=23[/tex]
EXPLANATION
The given function is
[tex]f(x)=-4x+3[/tex]
To find f(-5), we substitute x=-5 to obtain;
[tex]f( - 5)=-4( - 5)+3[/tex]
We multiply out to obtain:
[tex]f( - 5)=20+3[/tex]
We simplify to get,
[tex]f( - 5)=23[/tex]
Find the surface area of the prism. Write your answer as fraction or mixed number.
Answer:
From the measure the picture provides us, we can conclude that the prism is a cube, which also tells us that all 6 sides of this prism have equal surface area, so we only need to calculate one of them and multiply the result by 6:
The surface area of one side of the cube should be: 2/3 . 2/3 = 4/9 (ft²)
The surface area of the prism should be: 4/9 . 6 = 24/9 = 8/3 (ft²)
A prism is a polyhedron composed of an n-sided polygon basis. The surface area of the prism is 8/3 ft².
What is a prism?A prism is a polyhedron composed of an n-sided polygon basis, a second base that is a translated duplicate of the first, and n additional faces, all of which must be parallelograms, connecting the two bases. All parallel cross-sections to the bases are translations of the bases.
Given the length of the side is 2/3 ft. Therefore, the surface area of the given prism can be written as,
The surface area of the prism = 6s² = 6(2/3)² ft² = 8/3 ft²
Hence, the surface area of the prism is 8/3 ft².
Learn more about Prism:
https://brainly.com/question/12649592
#SPJ2
you invest $2800 in an account that pays an interest of 5.5%, compounded continuously. calculate the balance of your account after 12 years. round answer to the nearest hundredth. LAST QUESTION AND I NEED IT CORRECT PLSSS
Hi, hope this helps you. Have a good day. :)
Answer:
A = $5,417.42 (balance of the account)
I = $2,617.42
Answer:
The balance in the account after 12 years is $5417.42
Step-by-step explanation:
* Lets talk about the compound continuous interest
- Compound continuous interest can be calculated using the formula:
A = P e^rt
• A = the future value of the investment, including interest
• P = the principal investment amount (the initial amount)
• r = the interest rate
• t = the time the money is invested for
- The formula gives you the future value of an investment,
which is compound continuous interest plus the
principal.
- If you want to calculate the compound interest only, you need
to deduct the principal from the result.
- So, your formula is:
Compounded interest only = Pe^(rt) - P
* Now lets solve the problem
∵ P = $ 2800
∵ r = 5.5/100 = 0.055
∵ t = 12
∴ A = 2800 e^(0.055 × 12) = $5417.42
* The balance in the account after 12 years is $5417.42
What is the volume of the figure that can be formed by the net below?
Answer:
125 in³
Step-by-step explanation:
The net will form a cube.
Length of the cube = 5 in.
We will apply the formula for volume, volume = length³, to find the volume of the cube.
Volume = 5 x 5 x 5 = 125 in³
Please help with this quiz question!
Using the parallelogram pictured, find the length of the shorter diagonal. Round your answer to the nearest inch.
A) 32.1 in
B) 31.0 in
C) 22.3 in
D) 21.0 in
According to google your answer is c
convert 12.5 centimeters into meters
Answer:
0.125 m
Step-by-step explanation:
Answer:
0.125 meters
Step-by-step explanation:
There are 100 cm in a meter. 12.5/100= 0.125
15 pts
what is the total volume of juice in a six-pack if each can is 6 inches tall and has a diameter of 3 inches? 42.39in^3 or 254.3in^3
please show your work and answer it correctly
Answer:
The total volume of juice in a six-pack is [tex]254.3\ in^{2}[/tex]
Step-by-step explanation:
step 1
Find the volume of one can
The volume of the cylinder (can of juice) is
[tex]V=\pi r^{2} h[/tex]
we have
[tex]r=3/2=1.5\ in[/tex] ----> the radius is half the diameter
[tex]h=6\ in[/tex]
assume
[tex]\pi =3.14[/tex]
substitute
[tex]V=(3.14)(1.5)^{2} (6)[/tex]
[tex]V=42.39\ in^{2}[/tex]
step 2
Find the total volume of juice in a six-pack
Multiply the volume of one can by 6
[tex]42.39*(6)=254.3\ in^{2}[/tex]
The total volume of juice in a six-pack where each can is 6 inches tall and has a diameter of 3 inches is calculated using the volume of a cylinder formula. The total volume is 254.34 in³. This is achieved by calculating the volume of one can and multiplying by six.
Explanation:To calculate the total volume of juice in a six-pack where each can is 6 inches tall and has a diameter of 3 inches, we first need to find the volume of one can using the formula for the volume of a cylinder, which is V = πr²h. Since the diameter is 3 inches, the radius (r) is half of that, which is 1.5 inches. Plugging the values into the formula, we get:
Calculate the radius (½ of the diameter): 1.5 inchesCalculate the volume of one can: V = π(1.5 inches)²(6 inches)Find the volume: V = 3.14159 × (1.5 inches)² × 6 inches = × 42.39 in³Multiply by 6 to get the total volume for all six cans: Total volume = 42.39 in³ × 6 = 254.34 in³Therefore, the correct answer is 254.34 in³, which represents the total volume for a six-pack of juice cans.
Surface area of prisms and cylinders
Answer:
1. LA = 92 sq. m., SA = 132 sq. m.
2. LA = 460 sq. in., SA = 700 sq. in.
3. LA = 118 sq. in., SA = 168 in. sq.
4. LA = 468 sq. cm., SA = 828 sq. cm.
Step-by-step explanation:
The lateral area is the area of the non-base faces. The surface area is the area of all the faces (so lateral area + area of base).
1.
Lateral area:
There are 2 same triangles each with height and base of 3 and 4, respectively. So
Area of triangle = 1/2 * base * height = 1/2 * 4 * 3 = 6
Since there are 2, so 6 * 2 = 12
Now, the slant height is gotten by using pythagorean theorem on the triangular face.
[tex]4^2+3^2=SlantHeight^2\\16+9=SlantHeight^2\\25=SlantHeight^2\\SlantHeight=5[/tex]
If you look at the side facing away, it is a rectangle with length 10 and width 5, so area of rectangle is length * width = 10 * 5 = 50
The side facing towards us is also a rectangle with dimensions 3 and 10. So area is 3 * 10 = 30
The lateral area is 30 + 12 + 50 = 92
Surface Area:
This is the lateral area we got before (92) + the area of the base.
The base is a rectangle with dimensions 4 and 10. So area = 4 * 10 = 40
The surface area is 92 + 40 = 132
2.
Lateral area:
all the faces are rectangles.
The dimensions of two side faces are 10 and 8. So area would be 2 * (10 * 8) = 2 * 80 = 160
The dimensions of back side and front side is 15 and 10. So area would be 2 * (15 * 10) = 2 * 150 = 300
The lateral area would be 160 + 300 = 460
Surface area:
the surface area is the lateral area (580) + the area of the bases (which is also a rectangle). The dimensions of the bottom and top are 15 and 8. So area of bottom and top is 2(15 * 8) = 240
Thus, surface area = 460 + 240 = 700
3.
Lateral Area:
There are two rectangles (left and right) with dimensions 8 x 5 and 6 x 5. So area would be 8 * 5 = 40 and 6 * 5 = 30. Area = 40 + 30 = 70
There are two triangles (back and front) with base of 6 and height of 8. The area of both are:
(1/2 * 6 * 8 ) * 2 = 48
Lateral area is 70 + 48 = 118
Surface area:
The surface are would be lateral area (118) PLUS the base, which is a rectangle with dimensions 5 and 10. So area = 5 * 10 = 50.
Total surface area = 118 + 50 = 168
4.
lateral area:
there are 2 rectangles (left and right) with dimensions 10 x 12, and 9 x 12. So the total area would be:
(10*12) + (9*12) = 228
The front and back are trapezoids. The area of trapezoid is 1/2 (base1 + base2) * height.
The height is 8 and both the bases are 10 and 20. Plugging it into the formula, we get are of 2 of the trapezoids to be:
2 * (1/2(base1+base2)*height)
2 * (1/2(10+20)*8)
= 240
The lateral area = 228 + 240 = 468
surface area:
it will be 468 (lateral area) PLUS the area of the bases. The bottom base is a rectangle with dimensions 20 and 12. So the area of the base is 20 * 12 = 240
The top is a rectangle with dimensions 12 and 10. So area = 12 * 10 = 120
Surface area = 468 + 240 + 120 = 828