One number is equal to the square of another. Find the numbers if both are positive and their sum is 306.
Answer: 17 or -18
Step-by-step explanation:
x^2+x=306
x^2+x-306=0
(x-17)(x+18)=0
x-17=0
x=17
x+18=0
x=-18
..i think this is the right answer
What is the equation of a circle with center (1,-4) and radius 2?
A. (x - 1)2 + (y +472 - 2
B. (x - 1)2 + (y + 4)2 - 4
C. (x + 1)2 + (y - 4) - 4
D. (x - 1)2-(y+4)2 - 4
Answer:
B. [tex](x-1)^2+(y+4)^2=4[/tex]
Step-by-step explanation:
The general equation of a circle with center (h,k) and radius r is given by :
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Substituting the given values of the center and radius into this equation we get:
[tex](x-1)^2+(y-(-4)^2=2^2[/tex]
==> remove parenthesis
[tex](x-1)^2+(y+4)^2=2^2[/tex]
==> simplify exponents
[tex](x-1)^2+(y+4)^2=4[/tex]
The equation of a circle with center (1,-4) and radius (2) is [tex](x-1)^2+(y+4)^2=4[/tex]
Learn more about the equation of a circle here : https://brainly.com/question/27248248
Plutonium-240 decays according to the function e(t)=Q e-k where 0 represents the quantity remaining after t years and k is the decay constant, 0.00011... To the nearest 10 years, how long will it take 27 grams of plutonium-240 to decay to 9 grams? A. 1.44 years B. 2,100 years C. 9,990 years D. 18,900 years
Answer: 9,990
Step-by-step explanation:
I NEED HELP CLICK HERE PLEASE
Answer:
A- II
B- I
C- III
D- IV
Step-by-step explanation:
What is the probability of choosing a clubs or a numbered card from a deck of cards? Type your answer as a fraction.
Answer:
13/52
Step-by-step explanation:
Is 7/20 equal to 0.35
Answer:
yes it is
Step-by-step explanation:
A local university has just received a shipment of 200 Wacom tablets from an area vendor. The probability of an Wacom tablet being defective is estimated to be 0.10. A random sample of 25 Wacom tablets is selected for testing. If three or more defective Wacom tablets are found, the entire shipment of Wacom tablets is sent back to the vendor. Find the probability that the shipment will be sent back to the vendor.
Answer:
0.4629
Step-by-step explanation:
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Number of trials, n = 25
Probability of having defective tablet greater than 3 p(x ≥ 3) ;
p = 0.10 ;
1 - p = 1 - 0.10 = 0.90
P(x ≥ 3) = P(x = 3) + p(x = 4) +.... + p(x = 25)
Using a binomial probability calculator :
P(x ≥ 3) = 0.4629
Therefore, the probability that shipment would be sent back to the vendor is 0.4629
Need help
1. 15% of what number is 6?
2. 25 is 10% of what number
3. 49 is 35% of what number
4. What is 310% of 65
Thanks
Answer:
1. 40
2. 40
3. 140
4. 210.5
I tried, hope this helps :)
the area of a square room is 144square metres what is the perimeter of the room
Answer:
the answer is 48
Step-by-step explanation:
12×12=144
4×12=48
Use trigonometric identities to simplify the expression.
cot(β+π)sin(β
Answer:
cosβ
Step-by-step explanation:
cot(β+π)sinβ
cot(x)=cos(x)/sin(x), so we can rewrite our expression as:
(cos(β+π)/sin(β+π)) * sinβ
sin(a+b)=sin(a)cos(b)+cos(a)sin(b), so we can rewrite our expression as:
(cos(β+π)/(sinβcosπ+cosβsinπ)) * sin(β)
cos(a+b)=cos(a)cos(b)-sin(a)sin(b), so we can rewrite our expression as:
(cosβcosπ-sinβsinπ)/(sinβcosπ+cosβsinπ)) * sin(β)
cosπ=-1 and sinπ=0, so we can rewrite our expression as:
(-cosβ)/(-sinβ) * sin(β)
(-cosβ)/(-sinβ) * sin(β)
=(cosβ/sinβ)(sinβ)
=cosβ
Convert: 2,640 yards miles and yards
Answer:
1.5 miles
Step-by-step explanation:
Formula
divide the length value by 1760
Hope it helps you!
follow me for more!
I'm willing to help
express(16^5)^1/4 in simplest radical form.
Answer:
32
Step-by-step explanation:
Hello, in (16^5)^1/4, you would multiply the exponents together like this:
16^5 x 1/4= 16^5/4
The exponents multiplied make 5/4. Now you need to multiply 16 with 5/4 like this:
16 x 5/4= 80/4
80 divided by 4 is 32 so therefore, the answer is 32.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
maybe the second?
Step-by-step explanation:
Solve each equation.
2(−3)=14
-5(−1)=40
12(+10)=24
16(+6)=11
57(−9)=25
Answer:
jkudrhytiu4wry bui634y uiyb4uiyttui4ytui4yuityu34w ytiuyy4ty4oi8t4otiu4ioyt
Step-by-step explanation:
ryeropiutopier5uoiyturloiuy6otieruoiyluriluyrtuur6
Kinetic energy is expressed using the unit
A. Meters
b.Meters per second square
C. Joule per second
d Joule
Answer:
C or d
Step-by-step explanation:
kinetic energy is the energy a body possesses due to its motion because it is energy, kinetic energy it expresses the unit of joules. Velocity is very similar to speed. The difference is that Velocity is the speed in the given direction
PLEASE HELP! WILL GIVE BRAINLIEST! After substituting, what is the first step when evaluating 4y+9 when y=82 O Add 4 and 9. O Multiply 8 by 4. O Divide 9 by 7 O Divide 4 by 7.
Answer:
The answer is c
Step-by-step explanation:
I need some help with this math problem. I really appreciate it. thank you very much!
Margaret's savings account had $500 in it last month. This month it has $545.
Answer:
9% increase
Step-by-step explanation:
Rule 1: Add 7 starting from 0. Rule 2: Multiply by 2 starting from 8. Select the option that correctly shows the first 5 terms of each sequence.
Question 5 options:
First sequence: 0, 6, 12, 18, 24 and second sequence: 0, 8, 16, 32, 64
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 14, 28, 56, 112
First sequence: 14, 21, 28, 35, 42 and second sequence: 8, 16, 32, 64, 128
Answer:
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
Answer:
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
Step-by-step explanation:
The slope of the line whose equation is 2x + 5y + 1 = 0 is
0-2/5
05/2
0-1/5
Answer:
0-2/5
I think this is it ;-;
What value is missing from the table
Answer:
C. $15.75
Step-by-step explanation:
If one costs $1.05, 15 would be:
15 (1.05) = 15.75
Answer:
15.75
Step-by-step explanation:
1.05 a gallon times 15 gallons is 15.75
These four numbers are plotted on a number line:
-23,58,-35,-12
Which is the correct ordering on the number line, from left to right? A . -12,-35,-23,58 B. -12,-35,58,-23 C. -23,-35,-12,58 D. -35,-23,-12,58
Answer:
D
Step-by-step explanation:
The diameter of a circle is 14cm. Which TWO statements are correct?
A
Answer:
(a) and (e)
Step-by-step explanation:
Given
[tex]d = 14cm[/tex]
Required
Select the true statements
First, is a statement about the area.
The area is calculated as:
[tex]Area= \pi*\frac{d^2}{4}[/tex]
So, we have:
[tex]Area= 3.14*\frac{14^2}{4}[/tex]
[tex]Area= 3.14*49[/tex]
(a) is true
Next, is a statement about the circumference.
This is calculated as:
[tex]C = \pi d[/tex]
So, we have:
[tex]C = 3.14 * 14[/tex]
(e) is true
2x^2=4+6x
Show your work please
Answer: x = 3 - sqrt 17 / 2 , x = 3 + sqrt 17 / 2
Step-by-step explanation:
2x^2 = 4 + 6x
divide both sides by 2
x^2 = 2 + 3x
move expression to the left
x^2 - 2 - 3x = 0
reorder the terms
x^2 - 3x - 2 = 0
use the quadratic formula
x = - (-3) +- sqrt (-3)^2 - 4 x (-2) / 2 x 1
calculate
x = 3 +- sqrt 17 / 2
answer
x = 3 - sqrt 17 / 2 , x = 3 + sqrt 17 / 2
Using the graph, determine the coordinates of the vertex of the parabola.
Please Hurry) Consider the quadratic equation 3x^2 - 6 = 2x. A) What is the value of the discrimination? B) What does the discrimination of the quadratic equation tell about the solutions to 3x^2 - 6 = 2x?. ( Will Mark Brainliest). Show your work.
Answer:
A. 76
B. We will get two real solutions for the equation.
Step-by-step explanation:
A
For any quadratic equation ax²+bx+c=0, the discriminant is b²-4ac.
In 3x²-2x-6=0, a=3, b=-2 and c=-6:
b²-4ac
(-2)²-4(3)(-6)=4+72=76
B.
When the discriminate is positive we get two real solutions to the equation, when it's zero we get one real solution, and when it's negative we get two complex solutions. Since our discriminate, 76, is positive, we know that we will get two real solutions to 3x²-6=2x.
I need help ASAP i will give brainlist
Answer:
M
Step-by-step explanation:
Answer:
Point M
Step-by-step explanation:
Each line represents 0.05 so M would best represent 1/3
help please will give brainest.
Hi, you didn't add any picture or attached the info
A rectangle with sides 11 cm and 9 cm has the same diagonal as a square.
What is the length of the side of the square.
Give your answer as a surd.
Answer:
the length will be 9cm because a square has equal sides it not the same as the rectangle
please help! what is the measure of each central angle?
Answer:
9.3
Step-by-step explanation:
A line has a slope of -5 and includes the points (-1,r) and (-2,-2). What is the value of r?
Answer:
-7
Step-by-step explanation: