The error is in step 2 in step 2 Susu forgot to divide 8 by 4 for finding the solution of a quadratic equation.
What is a quadratic equation?The name Quadratic comes from "quad" meaning square, because the variable gets squared (like x2). It is also called an "Equation of Degree 2"
Susu is solving the quadratic equation [tex]4x^2-8x-13=0[/tex] by completing the square
To apply to completing the square method we need to get x^2 alone
Susu added 13 on both sides. So step 1 is correct
When we factor out 4, we divide both terms by 4
[tex]4(\dfrac{4x^2}{4}-\dfrac{8x}{2})=13[/tex]
[tex]4(x^2-2x)=13[/tex]
Susu forgot to divide 8 by 4
So , error in step 2
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Answer:
Step-by-step explanation:
2
What number when multiplied by itself is 11 greater.
Answer:
6
Step-by-step explanation:
Ramon and Hector ride their bikes at constant rates during a race. Ramon rides 45 miles in 3 hours. The distance, y, in miles, Hector rides in x hours is given by the equation y = 18x. Which statement is true?
No answer text provided.
No answer text provided.
Ramon rides his bike 3 miles per hour faster than Hector rides his bike.
Ramon rides his bike 27 miles per hour faster than Hector rides his bike.
Ramon rides his bike 3 miles per hour slower than Hector rides his bike.
Ramon rides his bike 27 miles per hour slower than Hector rides his bike.
We will find the speeds of both persons, the correct option is:
"Ramon rides his bike 3 miles per hour slower than Hector rides his bike."
Which statement is correct?First, we know that Ramon rides 45 miles in 3 hours, then its speed is:
S = 45mi/3h = 15mi/h
And we know that Hector position is given by:
y = 18x
Where x is time in hours, so his velocity is 18mi/h.
Then we can see that:
Ramon's speed = 15mi/hHector's speed = 18mi/hSo the correct statement is:
"Ramon rides his bike 3 miles per hour slower than Hector rides his bike."
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Is miguel’s claim correct? yes, the two events are independent because p(nf|pb) = p(nf). yes, the two events are independent because p(pb|nf) = p(nf). no, the two events are not independent because p(pb|nf) ≠ p(pb). no, the two events are not independent because p(pb|nf) ≠ p(nf).
Miguel’s claim is correct Yes, the two events are independent because P(NF | PB) is equal to P(NF) which is 3/4.
What is an independent event?The two events are said to be Independent events if the occurrence of events is not dependent.
We have the given data;
Paperback Hardcover Total
Fiction 20 10 30
Nonfiction 60 30 90
Total 80 40 120
The two events will be independent if both are the same.
P(NF | PB) = 60/80 = 3/4
P(NF) = 90/120 = 3/4
Thus, the two events are independent
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Answer:
The answer will be A - Yes, the two events are independent because P(NF|PB) = P(NF).
Step-by-step explanation:
Hope this helped!
What’s the formula for volume on a square pyramid
Evaluate ƒ(x) = 2x2 for ƒ(3)
Answer:
f(3) = 18
Step-by-step explanation:
In f(x) = 2x² ltet x = 3
f(3) = 2(3)²
f(3) = 2(9)
f(3) = 18
Name one segment that is a radius:
How long is the radius ?
Name one segment that is a diameter:
How long is the diameter?
A right triangle has one angle that measures 16°. What is the measure of the other acute angle
Answer:
3rd angle = 74
Step-by-step explanation:
Remark
All triangles have 180 degrees.
In addition a right triangle has 1 angle that equals 90 degrees.
That means the other 2 must add to 90.
Givens
1 angle = 90
1 angle = 16
3rd angle = x
Solution
x + 16 + 90 = 180 Sum 3 angles to 180 degrees. Combine
x + 106 = 180 Subtract 106 from both sides.
x = 180 - 106 Combine
Answer: x = 74
A parallelogram has and area of 37.72 m2 and a height of 4.6 m. How long is the base of the parallelogram?
Answer:
It acually equals 8.2
Step-by-step explanation:
37.72÷4.6=8.2 8.2*4.6=37.72
Hope this helps!
Rename 1/5 and 9/10 using the least common denominator.
Answer:
[tex]\frac{2}{10}[/tex] and [tex]\frac{9}{10}[/tex]
Step-by-step explanation:
First, llook at the denomintor. Do 5 and 10 have something in common? 5x2=10 and 10x1=10. The common denominator is 10. Then you mulitply the numerator with what you mulitpierd with the denominator. 9x1=9 and 10x1=10 =[tex]\frac{9}{10}[/tex]. 1x2=2 and 5x2=10 = [tex]\frac{2}{10}[/tex]. So, It is [tex]\frac{2}{10}[/tex] and [tex]\frac{9}{10}[/tex].
help me out on this problem
9) Calculate the approximate area of the regular pentagon, to the nearest tenth.
11 cm
Derek saves 10% of his paycheck each week to buy a mountain bike the mountain bike costs 340.00 Derek receives a paycheck in the amount of $280.50 each week how many paychecks will Derek have to receive before he has saved enough money to buy the mountain bike
Answer: 13 weeks
Step-by-step explanation:
First you have to find 10% of 340.00 which is 28, so each week he saves 28.00 for his bike. To find how many paychecks he has to recieve you divide 340.00 by 28.00, which is 12.1, since there is a decimal place you have to round it up to 13 because it is a little bit more than 12 paychecks. ;)
The Farmer Supply is building storage building for fertilizer shaped top. The that has cylindrica base and cone county laws say that the storage building must have maximum maximum height of 14 feet. Width of 8 feet and trucks deliver fertilizer in loads that are feet tall; feet wide, and 12 feet long_ Farmer Supply Dump wants t0 be able to store dump-truck loads of fertilizer: and height of the cone, h2 that Farmer Supply should use in Determine height of the cylinder; h1 will be able to store at least two dump-truck loads of fertilizer: the design: Show that your design Enter your answer and your work in the space provided
Assuming ℎ1 = 11 feet and ℎ 2 = 3 feet, the storage of the facility is going to be 603 cubic feet, which is more than 576 cubic feet
The diameter of the building has been given as 8cm
radius = d/2 = 8/2 = 4
Maximum height = h1 + h2 = 14
Find the volume of the fertilizer that is containeed in both of the trucks
2(12x4x6) = 576 feet
From the height of 14 feets we have to assume
h1 = 11 ft,
h2 = 3 ft
How to solve for volume[tex]volume =\frac{1}{3} \pi r^{2} h2 + \pi r^{2} h1[/tex]
= 0.333*3.14*4²*3 + 3.14*4²*11
= 602.8 ft ≈ 603
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3 + 32 ÷ 8 - 9 pls figure this out
3 + 4 -9
-2
........ -2 is the answer
Answer:
Your answer is -2.
Explanation:
3 + 32 ÷ 8 - 9
= 3 +4 - 9
= 7 - 9
= -2
What is the measure of ZRST?
R
46
T
O A. 46°
O B. 92°
O .
C. 23°
D. 44°
s
Answer:
ОА. 449
ОВ. 23°
Ос. 92°
OD. 46°
Step-by-step explanation:
The measure of the angle RST is 23 degrees, option C is correct.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that an arc is 46∘
We need to find the measure of the subtending angle inscribed in the circle.
The measure of the angle inscribed in a circle is one-half the measure of the arc it subtends.
The measure of the arc is twice the measure of the subtending inscribed angles.
measure of the angle RST= 1/2 measure of the arc
∠RST=1/2(46)
=23 degrees.
Hence, the measure of the angle RST is 23 degrees, option C is correct.
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Because bernard has some health issues, he must pay 15% more for life insurance. about how much more annually will a $115,000 10-year term insurance at age 35 cost bernard than someone of the same age without health issues? a 3-column table with 3 rows. column 1 is labeled age with entries 35, 40, 45. column 2 is labeled 10-year term, male, with entries 1.40, 1.64, 2.07. column 3 is labeled 10-year term, female, with entries 1.36, 1.59, 2.01. a. $161 b. $185 c. $1,073 d. $24 please select the best answer from the choices provided a b c d
The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is $24.
What are insurance premiums?The insurance premium is paid as a cost to cover a possible loss that is unseen.
The annual premium rate as a percentage of the value insured a person at age 35 has to pay is 0.14%.
From the given information, we have that the amount a 35-year-old without health issues will pay per $1,000 is $1.40
The amount to be paid for $115,000 is 115 × $1.4 = $161
The amount Bernard pays = 15% more
= 1.15 × $161
= $185.15
Therefore,
The amount more Bernard has to pay = $185.15 - $161
= $24.15 ≈ $24
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Let A and B be two events. Suppose that P(A) = 0.21 and P(B) = 0.60.
(a) Find P(AorB), given that A and B are mutually exclusive.
(b) Find P(AorB), given that A and B are independent.
Answer For two events A and B,P(A)−0.36,P(B)−0.37, and P(A∩B)−0.11 a. Find P(A∣B). b. Find P(B∣A). c. Determine whether or not A and Bare independent. I think
Step-by-step explanation:
A line passes through the point (-10, -8) and has a slope of -1/2. Write an equation in slope intercept form for this line
Emilio is helping pass out modeling clay in art class. He takes three 2-pound bricks of clay
from the supply shelf. His job is to give each student 4 ounces of clay, but he runs out before
he can finish. If his class has a total of 28 students, how many more ounces of clay does he
need?
Answer:
16 ounces
Step-by-step explanation:
1 pound = 16 ounces. Each clay block is 2 pounds so each of them are 32 ounces.
32 x 3 = 96
Divide 96 by the 4 ounces for each student, 96 ÷ 4 = 24
The clay is only enough for 24 students, leaving 4 students out, each need 4 ounces, so multiply the 4 students by the 4 ounces.
4 x 4 = 16
Therefore, 16 ounces are needed. Hope this helped!
A small box in the shape of a cube for packaging has a volume of 64 cubic inches.
For a medium box, the length, width, and height are all doubled. What is the ratio of the sides, area of the bases, and volumes of the boxes? Show your work.
What is the volume of a medium box? Show your work.
Ratios
Sides:
Area:
Volume:
What are the ratio of the small box to the medium box?
The first step is to determine the side lengths of the small box.
Side length = ∛64 = 4 in
Side lengths of the medium boxes = 4 x 2 = 8 inches
Volume of the medium box = 8³ = 256 cubic inches
The ratio of the sides of the small box to the medium box = 4 : 8 = 1:2.
The ratio of the area of the small box to the medium box= (4 x 4) : (8 x 8) = 1:4.
The ratio of the volume of the small box to the medium box = 4³ : 8³ = 1 : 8.
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>>>>>>>>>>>>>>>>>>>>
Answer:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
<<<<<<<<<<<<<<<<<<<<
hope it helps...!!!
Helppppppp plissssssssssss
Answer: Option W
Step-by-step explanation:
A function cannot have multiply y values for a single x value, so the only option that satisfies this rule is option W, the top left.
Please I need help ASSAAAPPP answering this question and if so can you show work PLEASE I’m dEspRate
The equation needed to calculate the compound interest is [tex]A = P(1 +\frac{r}{n} )^{nt}[/tex]
The value of the account after ten years is $9347.62 .
If the account is left alone for 20 years, the amount of interest earned is $6942.76
How to calculate compound interest?The compound interest formula is represented as follows;
[tex]A = P(1 +\frac{r}{n} )^{nt}[/tex]
where
A = amountP = principalr = raten = compounded months, years etc.t = time in yearsTherefore,
where
r = 3.7% = 3.7 / 100 = 0.037
n = 1
t = 10
P = $6500
Hence,
[tex]A = 6500(1+\frac{0.037}{1} )^{1(10)}[/tex]
[tex]A = 6500(1.037)^{10}[/tex]
[tex]A = 6500(1.43809495884)[/tex]
A = 9347.61723247
A = $9347.62
The value of the account after ten years is $9347.62
Interest = 9347.62 - 6500 = 2847.62 dollars
When it is 20 years.
r = 3.7% = 3.7 / 100 = 0.037
n = 1
t = 20
P = $6500
Hence,
[tex]A = 6500(1+\frac{0.037}{1} )^{1(20)}[/tex]
[tex]A = 6500(2.06811711064)[/tex]
A = 13442.7612192
A = $13442.76
Interest = 13442.76 - 6500 = 6942.76 dollars
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its 8th grade math super easy
[tex] {15}^{2} + {x}^{2} = {39}^{2} [/tex]
x = 36
^● ●^
Answer:
36
Step-by-step explanation:
You can use Pythagorus to solve this. 39^2-15^2=1296. √1296 is 36
Will mark brainlyest!!
Answer:
C (9,-2)
Step-by-step explanation:
Move to the right 9 times and move down 2 times (or -2)
Hope this helps!
Answer:
the answer is C
Step-by-step explanation:
the x axis goes first then the y
What is the lowest common denominator for these fractions?
3/5 and 1/10
15
5
10
Answer:
10
Multiply both parameters by the least common multiple of each.[tex]\frac{3*2}{5 * 2} = \frac{6}{10}[/tex]
[tex]\frac{1*1}{10*1} = \frac{1}{10}[/tex]
The lowest denominator cannot be 5, because that would mean you would have to reduce 1/10, and you cannot since 1/10 is a unit fraction, meaning it has a numerator of 1. However, 3/5 in that scenario would remain the same, since it already has a denominator of 5, but 10 does not have both parameters divisible by 5, therefore, eliminate option B.It is also not A. because A. is too high, option A. would actually be the highest denominator you can go for in this situation, which we are not going for. We are going for the lowest denominator logically possible.________________________________________________________
With that information, the correct answer is option C, 10
________________________________________________________
What have we learned?We learned how to find the least common denominator of fractions whose parameters are not the same.
Questions related to this topic? Ask me in the comments box.
What is the answer to 0.5(2x + 8) = x - 4
[tex]0.5(2x+8) = x-4\\\\\implies \dfrac 12 (2x+8 ) = x-4\\\\\implies 2x+8 = 2x-8\\\\\implies 8=-8\\\\\text{Which is not true, so there are no solution.}[/tex]
Pleaseeee helpppp
I will mark brainliest!! Please answer fast! <3
Answer:
9 is most likely going to be 8 x 90 = 720 becauce there is a 90 degree angle. 10 is going to be 400.8. I belive that this is the right awnser to your equation.
determine the sum by suitable arrangement
i)157+376+413+524 thank you
Answer:
the answer is 1470
Step-by-step explanation:
157+376+413+524
=1470
Find the midpoint between these two points:
(-2, -13) and (-8, 3)
options:
(-4, 8)
(-5, -8)
(-5, -5)
(4, 8)