Answer:
[tex] 5\bigg(x-\frac{3}{2}\bigg)^2-\frac{41}{4}[/tex]
Step-by-step explanation:
[tex] 5x^2-15x +1[/tex][tex]= 5\bigg(x^2-3x +\frac{1}{5}\bigg)[/tex][tex] =5\bigg[x^2-2.\frac{3}{2}x +\bigg(\frac{3}{2}\bigg)^2-\bigg(\frac{3}{2}\bigg)^2+\frac{1}{5}\bigg][/tex][tex] =5\bigg[\bigg(x-\frac{3}{2}\bigg)^2+\frac{1}{5}-\frac{9}{4}\bigg][/tex][tex] =5\bigg[\bigg(x-\frac{3}{2}\bigg)^2+\frac{4-45}{20}\bigg][/tex][tex] =5\bigg(x-\frac{3}{2}\bigg)^2-5.\frac{41}{20}[/tex][tex] =5\bigg(x-\frac{3}{2}\bigg)^2-5.\frac{41}{20}[/tex][tex] =5\bigg(x-\frac{3}{2}\bigg)^2-\frac{41}{4}[/tex]share $660 in the ratio of 2: 3: 5.
Answer:
132:198:330
Step-by-step explanation:
You can take the total amount of $660, then divide it by how many parts you have, which is ten. You then get $66, which you can then multiply by the amount for each part of the ratio (2, 3, 5)
Answer:
132$ ,198$, 330&
Step-by-step explanation:
2+3+5=10
2/10×660$
=132$
3/10×660$
=198$
5/10×660$
=330$
X-
x=8
r=3
Find the measure (in degrees) of the central angle subtended by the arc length of 8 centimeters
Answer:
Step-by-step explanation:
HELP ASAP PLS
a survey asked two age groups about the car color that they most preferred. the results are down in the table below. which car color eat most preferred by people ages 16-24 and what is the relative frequency within this age group?
A.) Blue, 71.4%
B.)Red, 60.6%
C.)Blue, 26.8%
D.)33.9%
Answer:
blue i think good luck
Can someone help me with this?
Answer:
s = 3, j = 14
Step-by-step explanation:
The full perimeter is 35.
The given sides we have are 7, 2, 4, 5, and the two missing ones. We will call the two missing ones j and s. (according to your drawing.)
-
The side with the number 7 on it is equal to the side with the number 4 and s.
Can you see that? Even if it's not a direct side, it is under it. (if you can't see that comment below.)
-
Now since we know that we can make an equation:
7=4+s
Subtract 4 on both sides.
3=s.
We now have the length of s, which is 3.
-
Since we now know what s is, we can add them all up once more.
3+5+7+2+4=21
You said the full perimeter is 35. This means j has to be 35-21, which is 14.
-
This drawing is not drawn to scale, I assume you are drawing this for practice.
-
Good luck on your test!
can someone help me please
Answer:
A
Step-by-step explanation:
If you line up all the numbers/variables you just have to copy down all of them except for 7x and 12x, you just add those and you get 19x so the answer is A.
The Curved Surface area [csa] In a cylinder is 250cm². If the cylinder is 12cm high ,find the volume.
ahemmm the so-called curved area, will be the "latereal surface area" of the cylinder, and we know that that is 250 cm², whilst the height h = 12.
[tex]\textit{lateral area of a cylinder}\\\\ LA=2\pi rh~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ LA=250\\ h=12 \end{cases}\implies \begin{array}{llll} 250=2\pi r(12)\implies 250=24\pi r \\\\\\ \cfrac{250}{24\pi }=r\implies \cfrac{125}{12\pi }=r \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=\frac{125}{12\pi }\\ h=12 \end{cases}\implies \begin{array}{llll} V=\pi \left( \cfrac{125}{12\pi } \right)^2 (12) \\\\\\ V=\cfrac{15625}{12\pi }\implies V\approx 414.47 \end{array}[/tex]
what is the area figure in
Work out the angle x
2x
3.
Answer:
x = 30
Step-by-step explanation:
The sum of the angles of a triangle add to 180
x+2x+3x = 180
Combine like terms
6x= 180
Divide each side by 6
6x/6 = 180/6
x = 30
Need help please answer asap
Answer:
[tex]2x = x + 15[/tex]
Step-by-step explanation:
Angle AGH and GHD are corresponding angles, meaning they are equal. So in order to find the equation that can be used to solve for x we need to equate both angles AGH and GHD to each other.
[tex]m < AGH\: \: \: = \: \: \: m < GHD \\ (x + 15) = (2x) \\ 15 = 2x - x \\ 15 = 1x \\ 15 = x[/tex]
They did not ask us to solve for x but I did it in case, however we can see that the answer we got corresponds with
[tex] (1) \:2x = x + 15[/tex]
Corresponding angles are equal
x+15=2xx-2x=-15-x=-15x=15Option A
Evaluate f(8): f(x) = x²-4
Answer:
60
Step-by-step explanation:
[tex]\begin{aligned}f(x) & =x^2-4\\\implies f(8) & =(8)^2-4\\& =64-4\\& =60\end{aligned}[/tex]
How do I do this? Please help
Answer:
720km
Step-by-step explanation:
12000 steps = 2 feet * 12000 = 24000 feet
= 24000 * 12 inches = 288000 inches = 288000 * 2.5 cm
= 720000cm = 720000 / 1000 = 720km
A hot air balloon holds 1,592 cubic meters of helium. the density of helium is 0.1785 kilograms per cubic meter. how many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? 432.3 kg 284.2 kg 2,043.7 kg 5,435.3 kg
We will see that there are 284.2 kilograms of helium inside the ballon.
How to find the mass of helium in the ballon?
In this problem, we know the volume of helium and the density of helium.
Remember that:
density = mass/volume.
Then we can write:
mass = density*volume.
Replacing the two in the right, we get:
mass = (1,592 m³)*( 0.1785 kg/m³) = 284.2kg
Then we can conclude that there are 284.2 kilograms of helium in the ballon.
If you want to learn more about density:
https://brainly.com/question/1354972
#SPJ4
What is sum of the geometric series?
Answer:
Sn=a1(1−rn)1−r,r≠1 C.
What is the value of x?
1/3√2
1/2√3
2√3
3√2
360,000 is 40% of what number?
Answer:
900000
Step-by-step explanation:
the answer to "360000 is 40 percent of what number?" is 900000, and you can also derive that 40 percent of 900000 equals 360000.
A $52 video game is advertised for 20% off
If sales tax is 6%; how much will the
video game cost?
Answer:
Equation: 52+(52•.20) that is the first part for your answer you should get 10.4 or $10.40. Then you would take 52-10.4=41.60 then keeping that number in mind you do 41.60• .06 and get, rounded, 2.50. Then you would add 41.60+2.50 and get $44.10 as your answer . I hope I could help
Step-by-step explanation:
The circumference of a circle is 18π, what is the radius?
Answer: 9
Explanation: Because pi is included in the answer, you won't be multiplying pi with it.
The only number that equals to 18 is 9.
By using the formula for circumference is: 2πr
2 x 9 = 18
Add pi, 18π.
A side of the triangle below has been extended to form an exterior angle of 70°. Find
the value of x.
The exterior angle and x form a straight line which need to equal 180.
x = 180-70 - 110
Answer: x = 110
For the given triangle the required measure of angle is 110°.
Use the concept of a triangle defined as:
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
Since we know that,
The angle of a line is 180 degrees.
Therefore, for the given triangle,
x° + 70° = 180°
Subtract 70° on both sides,
x° = 110°
Hence,
The measure of x° is 110°.
To learn more about the triangle visit;
brainly.com/question/1058720
#SPJ3
If a = 6 and b = 5, what is the value of the following expression?
4a + b
A.
9
B.
24
C.
19
D.
29
Answer:
D. 29
Step-by-step explanation:
If a = 6 and b = 5, fill in the numbers in place of the variables (letters) in 4a + b
= 4•6 + 5
= 24 + 5
= 29
4a means 4 times a. Multiply first, and then add.
GIVING BEAINLIESTTTTTTT!!!!!!!!!Find the measure of
Answer:
134°Step-by-step explanation:
Angles 1 and 3 form a linear pair so they sum to 180°.
m∠1 + m∠3 = 180°Substitute the values and solve for x
8x + 6 + 2x + 14 = 18010x + 20 = 18010x = 160x = 16Find the measure of ∠1
m∠1 = 8*16 + 6 = 134what is the absolute value of 62
Answer:
62, since positive doesn't change to negative.
19-42 evaluate the integral.
23. [tex]\int_{0}^{2}(2 x-3)\left(4 x^{2}+1\right) d x[/tex]
Expand the integrand:
[tex](2x - 3) (4x^2 + 1) = 8x^3 - 12x^2 + 2x - 3[/tex]
Then integrate using the power rule:
[tex]\displaystyle \int (8x^3-12x^2+2x-3) \, dx = 2x^4 - 4x^3 + x^2 - 3x + C[/tex]
By the fundamental theorem of calculus, the definite integral has a value of
[tex]\displaystyle \int_0^2 (2x-3)(4x^2+1) \, dx = \left(2x^4 - 4x^3 + x^2 - 3x\right)\bigg|_{x=2} - \left(2x^4 - 4x^3 + x^2 - 3x\right)\bigg|_{x=0}[/tex]
[tex]\displaystyle \int_0^2 (2x-3)(4x^2+1) \, dx = 32 - 32 + 4 - 6 = \boxed{-2}[/tex]
Please help and answer has an exponent
A sewin machine makes stiches that are one eighth of acentimeter long. If the machine makes a line of 42 stiches with no gaps, how long is the line
Answer:
5.25 centimeters
Step-by-step explanation:
Simply put, each stitch is 1/8 of a centimeter long.
42 stitches would be 1/8 * 42 centimeters long.
Multiply that and we get 5.25 centimeters.
Which of the following is a radical equation?
Ox√3=13
O x+√3=13
O√x+3=13
O x+3=√13
Answer:
The answer would be: √x+3=13
Step-by-step explanation:
A radical equation is an equation with at least one variable put on a radical form. In this question, there is only one kind of variable which is x. Then, you need to find the equation where x is in the radical form. The radical form can be expressed with square root symbol.
The option with √x would be only √x+3=13
Lets see if you know grade school math!! There were 22 bales of hay to be placed into 6 different tractors. what amount of hay would be placed in each tractor?
Answer:
22 divided by 6 is about 3.67
Step-by-step explanation:
write 13/20 fraction to percent
Hi I really need help with this one
Answer:
GCF: 3 , While answer to addition problem is 36.
Step-by-step explanation:
* Help me with mine please thanks*
What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
4 m
cubic meters
radius= 4 m
to find:the volume of the given sphere.
solution:[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{4}{3} \times 3.14 \times {4}^{3} [/tex]
[tex]v = 267.9466667 \: {m}^{3} [/tex]
[tex]v = 267.95 \: {m}^{3} [/tex]
therefore, the volume of the given sphere is 267.95 cubic meters.
[tex]\large\boxed{\bold{Formula: V= \frac{4}{3}\pi{r}^{3}}}[/tex]
[tex]\large\boxed{\bold{\red\pi\red=\red3\red.\red1\red4}}[/tex]
In this question the radius is given so we'll simply have to substitute and solve.
Let's solve!
Substitute the values according to the formula.
Instead of π we are asked to use 3.14
[tex]V= \frac{4}{3}\times\ 3.14\times{4}^{3}[/tex]
Calculator answer:
[tex]\bold{V= 267.9466667 \:{m}^{3}}[/tex]
Now, we can round off to the nearest hundredth.
The value in thousandths place is greater than 5 so, we will have to round up by adding 1 to the hundredths place.
Final answer:
[tex]\large\boxed{\bold{V= 267.95 \: {m}^{3}}}[/tex]
Hence, the volume of the given sphere is 267.95 cubic meters.
2- If A=(3, 4) and B = (7,8), find AB.
Use distance formula and take this question down, easily.
Step-by-step explanation:
Distance xy =
[tex] \sqrt{ {(x_2 - x_1) }^{2} + {(y_2 - y_1)}^{2} }[/tex]
Therefore AB
=[tex]\sqrt{(7-3)^2 +(8-4)^2}[/tex]
=[tex]\sqrt{(4)^2 +(4)^2}[/tex]
=[tex]\sqrt{32}[/tex]
=[tex]\boxed{4 \sqrt{2}-units} [/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex]\large\underline{ \boxed{ \sf{✰\:Important\: points }}}[/tex]
➢ Here question is asking to find the distance between points "A" and "B"
➢we can easily solve such ques by understanding a simple concept of Euclidean distance formula
➢ DISTANCE FORMULA :- Any algebraic expression that gives the distance between two points in a particular coordinate system in a particular number of dimensions
[tex]\rule{80mm}{2.5pt}[/tex]
[tex]{ \boxed{✜\underline{ \boxed{ \sf{Distance \: Formula = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2} } }}}✜}}[/tex]
★ Here
[tex] \sf \:➣ x_2 = 7 \\ [/tex][tex] \sf➣x_1=3[/tex][tex] \sf➣y_2=8[/tex][tex] \sf➣y_1=4[/tex][tex]\rule{80mm}{2.5pt}[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Now\: substitute\:value}}}[/tex]
[tex]\sf \: ➛ \: distance = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2}} \\ \sf \: ➛distance = \sqrt{{(7 - 3)}^{2} + {(8 - 4) }^{2}} \\ \sf ➛solving \: bracket\\ \sf \: ➛distance =\sqrt{{(4)}^{2} + {(4) }^{2}} \\ \sf \: ➛solving \: square \: roots \\ \sf \: ➛distance = \sqrt{32} \\ \sf \: ➛distance = \sqrt{16 \times 2} \\ \sf \: ➛distance = \sqrt{4 \times 4 \times 2} \\ \sf \: ➛distance =4 \sqrt{2} units[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
Hence distance of AB =
[tex]{ \boxed{✟\underline{ \boxed{ \sf{\: AB=4 \sqrt{2}units {\green ✓}}}}✟}}[/tex]
Hope it helps !
