Answers
Answer:
See the image below for answer:)
Step-by-step explanation:
Answer:
B. (1 ± sqrt(33)) / 4
Step-by-step explanation:
the 2 solutions for a quadratic equation
ax² + bx + c = 0
are defined as
x = (-b ± sqrt(b² - 4ac)) / 2a
in our example here we have
a = -2
b = 1
c = 4
=>
x = (-1 ± sqrt(1 + 32)) / -4 = (1 ± sqrt(33)) / 4
as we can easily divide top and bottom by -1 to turn the -1 and -4 into positive numbers, and the second top part, the square root, is a ± factor anyway. just withing the sign dues not change the fact that is is still a ± factor (both signs apply).
and now it is clear, it has to be option B.
the others disqualify because they have either no division by any form of 4, or the "1" and the "4" have different signs. but our equation shows they need to have equal signs (either both negative or both positive).
Related Questions
Beezlebum's Toy Store can't keep their stackable block set in stock! The blocks completely fill a box shaped like a rectangular prism that is 14 inches long, 14 inches wide, and 21 inches tall. The cube-shaped blocks in the set are 3.5 inches along each edge.
How many blocks are in the set?
Write your answer as a whole number or decimal. Do not round.
Answers
9514 1404 393
Answer:
96
Step-by-step explanation:
In terms of blocks, the box dimensions are ...
(14 in)/(3.5 in/block) = 4 blocks
(21 in)/(3.5 in/block) = 6 blocks
Then the volume in terms of blocks is ...
V = LWH
V = (4)(4)(6) = 96 . . . . blocks
There are 96 blocks in the set.
Jessica earned $16 mowing a neighbor’s yard. She bought a craft kit for $7.37.
She used $3.75 to buy food for a food drive. She put the rest in her savings account.
How much money did Jessica put in her savings account?
Answers
Answer:
Jessica put $4.88 into her savings account.
Step-by-step explanation:
First, you'll add up how kuch she has spent.
7.37 + 3.75 = 11.12
Secondly, you'll subtract 11.12 from 16.
16 - 11.12 = 4.88
Below are two parallel lines with a third line intersecting them
Answers
Answer:
hey, there is no attached photo. so I don't know how to help
Answer the questions about the following polynomial.
-10x +1
Answers
Answer:
Step-by-step explanation:
Given polynomial is (-10x + 1).
This polynomial has two terms.
Therefore, it's a binomial with two separate terms.
The expression represents a binomial polynomial with two terms. The constant term is 1, the leading term is -10x, and the leading coefficient is (-10).
If the dimensions of a room is 20m long, 8m wide
and 5m high. Find the volume of air contained on room.
Answers
Answer:
The volume of air contained on room is 800m^2
Step-by-step explanation:
20x8x5=800m^2
How can I describe an angle's measure?
Answers
Which expression could be used to find the volume of the prism shown below? A rectangular prism with length of 11, height of 5, and width of 8. (11 times 8) times 5 (11 + 8) times 5 (11 times 8) + 5 (11 + 5) times 8 Mark this and retu
Answers
Answer:
(11 x 8) x 5
Step-by-step explanation:
We find volumes of rectangular prims by multiplying the length by the width to get the area of a said prism, and multiplying the area by the height in order to get the volume.
Answer:
A
Step-by-step explanation:
What is the distance of -55 from zero?
Answers
Answer:
55
Step-by-step explanation:
The answer is 55 as distance is a scalar quantity that means quantities that depend on magnitude and not on direction. Therefore we cannot write - 55 as answer.
Find the angle of depression
from point A to point C.
?
66°
5 mi
B
Angle of depression = [ ? ]
Answers
Given:
In triangle ABC, [tex]m\angle A=66^\circ, AB=5\text{ mi}[/tex].
To find:
The angle of depression from point A to point C.
Solution:
According to angle sum property, the sum of all interior angles of a triangle is 180 degrees.
In triangle ABC,
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
[tex]66^\circ+90^\circ+m\angle C=180^\circ[/tex]
[tex]156^\circ+m\angle C=180^\circ[/tex]
[tex]m\angle C=180^\circ-156^\circ[/tex]
[tex]m\angle C=24^\circ[/tex]
We know that if a transversal line intersect the two parallel lines, then alternate interior angles are equal. So, the angle of depression from point A to point C is equal to the measure of angle C in triangle ABC.
Therefore, the angle of depression is 24 degrees.
Janet hiked 3/8 mile in 1/4 hour. How fast did she hike, in miles per hour
Answers
Answer: answer is A
A:3/32
B:2/3
C: 1 1/2
D:4
Is -5/250 a rational number
Answers
Answer:
Hello There!!
Step-by-step explanation:
The answer is that=>Yes It is a rational number.
hope this helps,have a great day!!
~Pinky~
Answer:
Yes.
Step-by-step explanation:
A rational number is any number that can be written as a fraction. These include whole numbers, fractions, decimals that end, and decimals that repeat. Positive and negative do not affect rationality.
PLEASE HELP !!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!
Answers
Answer:
0 and 1
Step-by-step explanation:
The solutions are the points of intersection, meaning that the x values must meet at those points. x=0 and x=1 meet at those points of intersection.
2x2-1/3x2+7/3x2 plzzzzzzzzzzzz fast
Answers
Answer:
8
Step-by-step explanation:
8 is the correct answer
Answer:
12 2/3
Step-by-step explanation:
Suppose that there is a positive correlation between the variables k and I. If I
is 75 when k is 7, which of these is most likely to be the value of I when k is
14.
O A. 75
O B. 25
C. 50
D. 150
Answers
Answer:
150
Step-by-step explanation:
if there is a positive correlation
when k increases l should also increase
only 150 is an increase in l
Given circle R , arc BA = 35 and arc DE= 43 what is angle BCA equal to?
Answers
Solve x^2 -6x=-5 by completing the square. Show all work for the steps below. (a) For x^2 -6x+c+-5+c, what value of c is used to complete the square? (b) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. (c) Solve for x
Answers
To complete the square we are going to rewrite the equation to a quadratic equation in the form:
ax² + bx + c
To do this we are going to transpose.
x² - 6x = -5
x² - 6x + 5 = 0
Now we are going to rewrite the new equation in the form
a(x + h)² + k
Where a = 1
h = 6x
k = 5
1(x² - 6x) + 5 = 0
1(x² - 6x/2 + 3²) + 5 = 0, to find h, divide it by 2 then square the quotient and add it to the equation.
1(x² - 3x + 9) + 5 - 9 = 0, to find k, subtract the square rooted quotient after multiplying it by a.
1(x - 3)²- 4 = 0
Now we solve.
1(x - 3)² - 4 = 0
1(x - 3)² = 4
±√1(x - 3)² = ±√4
(x - 3) = √4 or (x - 3) = -√4
x = 5 or x = 1
Drag each value to the correct location on the equation. Each value can be used more than once, but not all values will be used.
A yacht is traveling 35° west of south at 15 miles/hour in still water. Find the component form of vector r, which represents the yacht's motion.
Answers
Answer:
(xou)2
Step-by-step explanation:
A yacht is traveling 35° west of south at 15 miles/hour in still water. Find the component form of vector r, which represents the yacht's motion.
PLEASE ANSWER FAST
A-1 Equipment Rental Company charges $195 per day to rent a backhoe. The rental cost at A-1 can be represented by the function a(x) 195x, where x is the number of days the backhoe is rented. A competitor charges $150 per day plus an extra $90 fee. The cost at the competitor can be represented by the function c(x) 150x 90, where x is the number of days the backhoe is rented. Describe the transformation from the graph of a to the graph of c.
a. vertical shrink by 10/13 and then a vertical translation 90 units down
b. vertical stretch by 10/13and then a vertical translation 90 units up
c. horizontal stretch by 13/10and then a vertical translation 90 units up
d. vertical shrink by 10/13and then a vertical translation 90 units up
Answers
Answer:
cccccccccccccccccccc
triangle ABC has angle measures as shown.
A) what is the value of x? show your work.
B) what is the measure of angle C? show your work.
Answers
Answer:
12°
Step-by-step explanation:
Sum of interior angles of the triangle is 180°:
m∠A + m∠B + m∠C = 180°
3x + 28° + 5x + 52° + 2x - 10° = 180°
10x + 70° = 180°
10x = 110°
x = 11°
Find the measure of angle C:
m∠C = 2x - 10° = 2(11°) - 10° = 22° - 10° = 12°
Answer:
Step-by-step explanation:
(2x - 10)° + (5x + 52)° + (3x + 28)° = 180°
10x + 70 = 180
x = 11
m∠C = [ 2(11) - 10 ]° = 12°
5a. A salad bar has five kinds of salad. In how many different ways can you choose two different salads from five?
5b. Which has more different ways :
Choosing two out of five OR
choosing three our of five?
Answers
Answer:
a) 10 salads
b) 5 Choose 2 and 5 Choose 3 result in the same amount
Step-by-step explanation:
a) ₅C₂ = 5! / (5-2)! 2!
= 5! / 3! 2!
= (5 × 4) / 2
= 10 salads
b) ₅C₃ = 5! / (5-3)! 3!
= 5! / 2! 3!
= (5 × 4) / 2
= 10
In November, the rain in a certain valley tends to fall in storms of several days duration. The unconditional probability of rain on any day of the month is 0.600. But the probability of rain on a day that follows a rainy day is 0.900, and the probability of rain on a day following a nonrainy day is 0.300. Find the probability of rain on November 1 and 2. but not on November 3. Find the probability of rain on November 1 and 2, but not on November 3.
Answers
Answer:
0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.
Step-by-step explanation:
Rain on November 1:
0.9 of 0.6(rain on Oct 31).
0.3 of 0.4(not rain on Oct 31).
Rain on November 2:
Considering rain on November 1, 0.9 probability of rain.
Rain on November 3:
Considering rain on November 2, 0.1 probability of rain.
Find the probability of rain on November 1 and 2, but not on November 3.
Multiplicating the probabilities:
[tex]p = (0.9*0.6+0.3*0.4)*0.9*0.1 = 0.0594[/tex]
0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.
Thankssssssss smmmmmmm
Answers
9514 1404 393
Answer:
46
Step-by-step explanation:
The length of base CD is twice the length of midsegment FG, so you can write the equation ...
CD = 2×FG
-3x +52 = 2(13 +5x)
52 = 26 +13x . . . . . . . . add 3x, simplify
26 = 13x . . . . . . . . . subtract 26
2 = x . . . . . . . . . . divide by 13
Then the measure of CD is ...
CD = -3x +52 = -3(2) +52 = -6 +52
CD = 46
Five cards are drawn randomly from a standard deck of 52 cards.
Determine the probability that exactly 3 of these cards are Aces. Write your answer in decimal form, rounded to 5 decimal
places
Answer:
Answers
=========================================================
Explanation:
There are 4 ways to select 3 aces where order doesn't matter. It's basically the same as saying there are 4 ways to leave out one ace.
Then we have 2 slots left to fill. There are (48*47)/2 = 1128 ways to do this where order doesn't matter. The 48 is from the fact there are 52-4 = 48 cards that aren't aces. We step down to 47 after picking the first non-ace card. The 2 in the denominator is to correct for double counting.
We found there were 4 ways to pick the three aces, and 1128 ways to pick the other two non-ace cards. Overall, there are 4*1128 = 4512 ways to pick all five cards where we have exactly 3 aces.
This is out of 52C5 = 2,598,960 ways to select any five cards from a 52 card deck. I'm using the nCr formula which is
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
Use n = 52 and r = 5 to get the value mentioned. The exclamation marks indicate factorial.
------------------------------------
To recap, there are
4512 ways to pick exactly three aces2,598,960 ways to pick five cards without any restrictionsDividing the two values gets us the final answer
4512/(2,598,960) = 0.001736079047
This value rounds to 0.00174
The probability that exactly 3 of these cards are Aces is 0.004%.
Given that five cards are drawn randomly from a standard deck of 52 cards, to determine the probability that exactly 3 of these cards are Aces the following calculation must be performed:
Each particular probability must be multiplied by each other, and its result by one hundred, to obtain the probability percentage. (3/52 x 2/51 x 1/50) x 100 = X 0.004 = X
Therefore, the probability that exactly 3 of these cards are Aces is 0.004%.
Learn more in https://brainly.com/question/821892
Sketch the area under the standard normal curve over the indicated interval and find the specified area.
a. The area to the right of z = 0
b. The area to the left of z = 0
c. The area to the left of z = −1.35
d.The area to the left of z = −0.48
Answers
Answer:
a) The area of the right of z=0 is P(z >0) =0.5.
b) The area of the left of z=0 is P(z < 0) =0.5.
c) The area of the left of z=-1.35 is P(z <- 1.35) =0.0885.
d) The area of the left of z=-0.48 is P(z <-0.48) =0.3156.
Step-by-step explanation:
Here are the graphs respectively.
If the triangles are similar which are true
Answers
Answer:
b
Step-by-step explanation:
Which multiplication problem is represented by the model?
Divide. Write your answer in simplest form.
1/5 ÷ 4
Answers
Determine the value of x
Answers
Answer:
B is the answer.
Step-by-step explanation:
Write an equation of the line with a slope of 2/3
and -8
Answers
I assume the -8 was the y intercept?
Solve the problem 35×2/7=
Answers
35 × 2/7 =
2 × 35 / 7 =
2 × 5 × 7 / 7 =
Simplify 7
2 × 5 =
10
Find the surface area of the regular pyramid.
Answers
Answer:
D
Step-by-step explanation:
It helps to break the pyramid into shapes
triangles: ((b x h) ÷ 2) x 5
((4 x 8) ÷ 2) x 5= 80in
base: 27.5in
total sa: 27.5 + 80 = 107.5in