[tex]2=x^2-10x\\\\\implies x^2 -10x =2\\\\\implies x^2 -2\cdot 5 x +5^2 -5^2 = 2\\\\\implies x^2 -2\cdot 5x +5^2 = 2+5^2 \\\\\implies (x-5)^2 = 27\\\\\implies x-5 = \pm\sqrt {27}\\\\\implies x = \pm\sqrt{27} +5=\pm3\sqrt{3}+5\\\\\text{Hence,}~ x = 5+3\sqrt 3~\text{or}~ x = 5-3\sqrt 3[/tex]
Suppose there are 20 equally-sized marbles in a bag. Six marbles are blue, seven red, three of them orange, three of them black, and one green. If you choose a red marble, you win nothing. Selecting a blue marble will win you 25 cents. Selecting an orange marble will win you 50 cents, selecting a black marble will cost you a dollar, and if you choose the green one, you win three dollars.
Answer:
i dont know what youre trying to answer but if your trying to answer how much money can you get if you get all of the marbles you get $9
just blue- $1.50
just orange- $1.50
just black- $3
just green- $3
red=$0
Find the value of X to the nearest tenth.
Step-by-step explanation:
REFER TO THE ATTACHMENT
HEY IN WHICH CLASS YOU ARE ROSA
Answer:
my answer is 7.5
Step-by-step explanation:
let me know if I'm incorrect
What is the length of this key to the nearest quarter inch?
3 inches
314 inches
312 inches
334 inches
Key laying horizontally with vertical markers indicating the left and right ends of the key.
the length of the key will be 3 inched long because it is laying horizontally
An equilateral triangle has an altitude of 7cm. Which of the following have a proportional relationship to the altitude? Select all that apply.
A. Perimeter
B. Sides
C. Angles
D. Area
E. Vertices
Answer:
A. Perimeter
B. Sides
D. Area
Step-by-step explanation:
Suppose a triangle ABC has sides each of length a
formula:
The altitude of the triangle h equal to :
[tex]h=\frac{\sqrt{3}}{2} a[/tex]
________
Perimeter:
Let’s P be the perimeter of the triangle ABC then P = 3a
[tex]\frac{P}{h}=\frac{3 a}{\frac{\sqrt{3}}{2} a}=\frac{3}{\frac{\sqrt{3}}{2}}=2 \frac{3}{\sqrt{3}}=2 \sqrt{3}[/tex]
P/h is a constant then The perimeter has a proportional relationship to the altitude
______
Sides :
[tex]\frac{h}{a}=\frac{\frac{\sqrt{3}}{2} a}{a}=\frac{\sqrt{3}}{2}[/tex]
h/a is a constant then The side has a proportional relationship to the altitude
______
Area :
Let A be the area of the triangle
[tex]\frac{A}{h}=\frac{a \times h}{h}=a[/tex]
A/h is a constant then The area has a proportional relationship to the altitude
_____
Angles :
The measure Of each angle of an equilateral triangle is always equal to 60°
60/h is not a constant then there is no proportional relationship
______
Vertices:
The vertices are points and not numbers so there is no proportional relationship.
Nothing is going in..i don’t understand
Answer:
Step-by-step explanation:
Move all terms to the left side and set them equal to zero. Then set each factor equal to zero.
x
=
2
,
−
4
You can expand these and find the answer :
[tex]4^{6} : 4^{2} = 4.4.4.4.4.4 :4 : 4 = 4.4.4.4.(4:4).(4:4) = 4.4.4.4.1.1 = 4.4.4.4 = 4^{4}[/tex]
Basically, to simplify this, the only thing you have to do is minus the powers if divided, and add the powers of multiplied.
Lilit and Sergio sold candles for a class trip. On the first day, Lilit sold 8 candles and Sergio sold 10 candles. For the next three days, both sold another 3 candles each day.PLEASE HELP
Answer:
Lilit- 17 candles
Sergio- 19 candles
Step-by-step explanation:
this is the most probable answer.
The graph of a logarithmic function is shown below.
On a coordinate plane, a curve starts in quadrant 3 and curves up in to the first quadrant. The curve starts at (negative 2, negative 2) and approaches y = 2 in quadrant 1.
What is the domain of the function?
x > –2
x > 0
x < 2
all real numbers
Answer:
x > -2.
Step-by-step explanation:
Starts at x = -2 then carries on without bounds.
Answer:
x > –2
Step-by-step explanation:
The answer above is correct.
Are the expressions 5 ( x - 3) and 5x + 15 equivalent? use the distributive property to support your answer
Answer: No
Step-by-step explanation: No, they aren't. If you look at 5 and multiply (distribute) it to negative three you will end up with -15. And 15 is not equal to negative 15.
I hope this helps!
help its for calculus
Answer:
maybe its e(1/y)
Answer:
it should be e(1/y)
2) A square piece of land was divided by a 850-meter diagonal fence. One side of the land measures 700 m. how many meters of fence does the owner need to complete the fencing of half of the land? formod hy nutting i smuares fonether 1 souare is at the center. What is the
The length of fence materials needed to cover a land of sides 700m ,700m and 850m is 2250 meters
Perimeter of Flat ShapesGiven Data
Diagonal = 850 meterSide of fence = 700 meterShape of land = SquareSince the shape of the land is that of a square
All the sides will be 700 meter
Dividing the land into two pieces, the side will be
700, 700, 850
hence the length of fence needed to cover the land is
Perimeter = 700+700+850
Perimeter = 2250 meters
Learn more about perimeter here:
https://brainly.com/question/24304697
Find x.
Round to the nearest tenth:
31°
у
X
400 ft
x = [ ? ]ft
Answer:
x = 466.7 fty = 240.3 ftFirst find the inner angle:
90° - 31°59°using sine rule:
[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]
[tex]\hookrightarrow \sf sin(59)= \dfrac{400}{x}[/tex]
[tex]\hookrightarrow \sf x = \dfrac{400}{sin(59)}[/tex]
[tex]\hookrightarrow \sf x = 466.6533[/tex]
[tex]\hookrightarrow \sf x = 466.7[/tex] ( rounded to nearest tenth )
====================================
using tan rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
[tex]\hookrightarrow \sf tan(59)= \dfrac{400}{y}[/tex]
[tex]\hookrightarrow \sf y= \dfrac{400}{ tan(59)}[/tex]
[tex]\hookrightarrow \sf y= 240.344[/tex]
[tex]\hookrightarrow \sf y= 240.3[/tex]
Answer:
y = 466.7 ft (nearest tenth)
Step-by-step explanation:
Using the Alternate Interior Angle Theorem
the angle inside the triangle that is opposite the side [tex]y[/tex] is 31°
Using the cos trig ratio:
[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]
where:
[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 31°A = 400 ftH = [tex]x[/tex]Substitute given values and solve for x:
[tex]\sf \implies cos(31)=\dfrac{400}{x}[/tex]
[tex]\sf \implies x=\dfrac{400}{cos(31)}[/tex]
[tex]\sf \implies x=466.7\:ft\:(nearest\:tenth)[/tex]
probability pls hurry(13)
Answer:
A (3/16)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
The spinner is evenly divided and numbered from 1 through 8.
[tex]\sf \implies Probability\:of\:landing\:on\:any\:number= \dfrac18[/tex]
There are 4 even numbers (2, 4, 6 and 8)
[tex]\sf \implies Probability\:of\:landing\:on\:an\:even\:number= \dfrac48=\dfrac12[/tex]
There are 3 numbers less than 4 (1, 2 and 3)
[tex]\sf \implies Probability\:of\:landing\:on\:a\:number\:less\:than\:4=\dfrac38[/tex]
Therefore, the probability of landing of an even number and then on a number of less than 4 is:
[tex]\sf \implies Probability=\dfrac12 \times \dfrac38=\dfrac{3}{16}[/tex]
How do i Write (3x^3)^2 WITHOUT exponents
Answer:
(3x³)² = 9x⁶ = 3 × 3 × x × x × x × x × x × x
Thus, The answer is
3 × 3 × x × x × x × x × x × x
Answer:
3 * 3 * y * y * y * y * y * y
Step-by-step explanation:
(3y³)²
Multiply 3 by 3 and y six times
3 * 3 = 9
y * y * y * y * y * y
The answer should be
3 * 3 * y * y * y * y * y * y
I hope this helps!
You took a test and got 12 points on it. The next week, you retook it and got 25% more points than before. How many points did you get when you retook it?
Answer:
15 points
Step-by-step explanation:
12 divied by .25 =3
so there for it would be 15 points
Answer:
The answer is 15 points. Have a great day:)
Use a net to find the surface area of the cylinder. Use 3.14 for pie
Answer:
62.83
nearest tenth 62.8
What is 9n=1(98-2n) equal to? Id really appreciate if you could answer both though
Can, you help me thanks. <3
Answer:
I think the 1st one is the answer
Step-by-step explanation:
if it helpful to you give me a brainliest
What is the volume of this cone? use 3.14 for π and round your answer to the nearest tenth. in your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.
Answer:
Volume of a cone = 1/3•pi r•r•h
V = 1/3•pi•2•2•8
V = 33.49333333333333
V = 33.5 inches squared
I hope this helps! Have a good day! :)
The volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.
How to find volume of a right circular cone?Suppose that the radius of considered right circular cone be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3[/tex]
Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.
The missing image for this problem is attached below.
For this case, the radius is of 2 inches, and height is of 8 inches, thus, the volume of the considered cone is:
[tex]V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3 \approx \dfrac{1}{3} \times 3.14 \times (2)^2 \times 8 \approx 33.51 \approx 33.5 \: \rm in^3[/tex]
(rounded to the nearest tenth, which is first place to right of the decimal point.
Thus, the volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.
Learn more about volume of a cone here:
https://brainly.com/question/26093363
Select all the true statements about the following parallelogram
Answer:
it is D. and A.
Step-by-step explanation:
um because
Multiple choice easy question. Please answer.
Answer:
I belive it should be # 3 i might be wrong thow.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Car one rotated 90 degrees counterclockwise would be to car 4
then, it rotated 180 degrees clockwise would be car 2.
the answer is Car 2
hello i have a question: when youre doing mean median range and mode, if you get the number 10.33 as the mean for example, do you round it to 10.30 or 10? or keep it as 10.33?? please help ty
Answer:
It depends on the question! You should look at the other values of the data and see what they are rounded to and apply it for the mean too. If not, I normally round it to 3 significant figures.
find the horizontal asymptote(s).
what is the degree of the expression 5x²+y+10
Answer:
2
Step-by-step explanation:
7 m
7 m
2 m
m
7 m
7 m
How do I find volume??
Answer:
98 m
Step-by-step explanation:
The formula of the volume is ↓
Length × width × height
= 7 × 7× 2
= 98 m
How much should you invest in an account that pays 6% annual interest compounded continuously if you want exactly $8000 after four years?
Answer:
$6239
Step-by-step explanation:
A(t) = P•e^rt
Substitute with 6% 0.06, t with 4 and A(t) with 8,000 to find the value of P.
8, 000 = P•e^0.06•4
8, 000 = P•e^0.24
8, 000 = P•1.27
P = 6, 293
(4x^2+9x-7)-(-7x^2+5x-1)
(4x
2
+9x−7)−(−7x
2
+5x−1)
Step-by-step explanation:
I think the expression is
(4x² + 9x - 7) - (-7x² + 5x - 1)
and that is the same as
4x² + 9x - 7 + 7x² - 5x + 1 =
= 11x² + 4x - 6
remember that the combination of two '-' signs turns this into one '+' sign.
to subtract a negative number is indeed the same as adding a positive number with the same absolute value.
Determine the simple interest earned p=$2000 r=4.6% T=4 years
Answer:
[tex]\boxed{\sf{I=368}}[/tex]Step-by-step explanation:
Use a simple interest formula.
Simple interest formula:
⇒ I=PrtP stands for principal R stands for interest rateT stands for interest time(P): Principal =$2000(R): Interest Rate =4.6%(T): Interest Time =4→ 2000*4.6%4
You have to convert 4.6% into a decimal form.
→ 4.6%=0.046
→ I=2000*0.046*4
Solve.
Multiply the numbers from left to right.
→ 2000*0.046*4=368
Therefore, the correct answer is 368.I hope this helps you! Let me know if my answer is wrong or not.
Is 5 + 3(1 - x) equivalent to 8 - 8x?
Answer:
No, 5 + 3(1 - x) is NOT equivalent to 8 - 8x.
Step-by-step explanation:
To see if they are equivalent to each other, we first need to simplify the first expression:
5 + 3(1 - x)
Distribute the 3 into the parenthesis:
5 + 3 -3x
Combine like terms:
8 - 3x
No, 5 + 3(1 - x) is NOT equivalent to 8 - 8x.
Draw a rectangle which all sides are different lengths
This is impossible. A rectangle has 4 90 degree angles and 2 sets of equal sides.
Question Find the range of the data. 95,63,52,8,93,16,42,37,62 The range is
Answer: 87
Step-by-step explanation:
The range is the largest data value minus the smallest data value.
95 - 8 = 87