Answer:
A
Step-by-step explanation:
The Fundamental theorem of algebra tells us that a polynomial of degree n has n roots.
Here the polynomial is a cubic, that is of degree 3
Thus it will have 3 roots, real and/ or imaginary.
Since imaginary roots occur in conjugate pairs
Since the polynomial has 3 real roots there are no imaginary roots, thus
A is the required response.
Given that the perimeter of the square below is 40, solve for x. Round your answer to the nearest whole number.
Answer:
2
Step-by-step explanation:
(4x+2)squared equal 16x+4=40 40-4 = 36
36/16=2.25
2
To prove that ΔAED ˜ ΔACB by SAS, Jose shows that StartFraction A E Over A C EndFraction = StartFraction A D Over A B EndFraction.
Triangle A E D is shown. Line segment B C is drawn from side A D to A E to form triangle A C B.
Jose also has to state that
please help!!!!!!
Answer:
A on Edg.
Step-by-step explanation:
Took the Test
Answer:
<A is congruent to <A
Step-by-step explanation:
<A is in both triangle and it can be equal to itself because of the reflexive property.
Two ships leave the same port. Ship A travels at a constant speed of 30 km/h. Ship B travels at a constant speed of 37 km/h. The angle between their paths 62 degrees. How far apart are the two ships from eachother three hours later?
Answer:
The distance between them is 105.07 km
Step-by-step explanation:
First we need to find the distance travelled by each ship.
To find this distance, we should use the formula:
distance = speed * time
For ship A, we have:
distance1 = 30 * 3 = 90 km
For ship B, we have:
distance2 = 37 * 3 = 111 km
Now, to find the distance between the ships, we can use the law of cosines, where a, b and c are the respectively the distance travelled by ship A, the distance travelled by ship B and the distance between them:
c^2 = a^2 + b^2 - 2*a*b*cos(62)
c^2 = 90^2 + 111^2 - 2*90*111*0.4695
c^2 = 11040.39
c = 105.07 km
The distance between them is 105.07 km
There is this area stuff I have to do. No clue what I’m doing
Answer:
25
Step-by-step explanation:
5 x 5 = 25
Answer:
Area is multiplying. Since it is a saure, all sides are the same.
Step-by-step explanation:
A=a2=52=25
help plz!!!what is the probability that he rolls a 3 and the coin lands on tails?
Answer:
The possibility of rolling a 3 on a fair die and getting tails on a coin is 112 .
brainliest pls?
If 1.85g is 2.85% of the recommended daily allowance (RDA) for fat grams, what is the daily fat recommendation in grams?
Answer:
64,0122807 g
Step-by-step explanation:
2.85% --- 1.85
100% --- x
x= 1.85 x 100 : 2.85
x= 64,0122807
The __________________ is the appropriate measure of spread to describe the data.
Answer:
range
Step-by-step explanation:
You subtract the maximum-minimum to find the range or spread (they mean basically the same thing in math)
Find the x-intercepts of the parabola with
vertex (4,-20) and y-intercept (0,-4).
Write your answer in this form: (x1,71), (X2,72).
If necessary, round to the nearest hundredth.
Answer:
(8.47,0) (-0.47,0)
Step-by-step explanation:
y = a(x - h)² + k
y = a(x - 4)² - 20
-4 = a(0 - 4)² - 20
16 = 16a
a = 1
y = (x - 4)² - 20
x-intercepts: y = 0
(x - 4)² = 20
x - 4 = +/- 4.47..
x = 4.47+4, -4.47+4
x = 8.47, -0.47
Professor Trey Angle writes the equation y=10000(0.75)x on the chalkboard to introduce exponential decay to their students. They explain how when x = 0, y = 10000 and when x = 1, y = 7500. Finish his next statement: "As one gets larger, the other gets smaller. So If x = 3, then y = , which is under half the original value.
Answer:
"As one gets larger, the other gets smaller. So if x = 3, then y = 4218.8, which is under half the original value."
Step-by-step explanation:
In order to complete the sentence we must find the value of "y" when x = 3. We have:
y = 10000*(0.75)^3
y = 4218.8
The sentence then is:
"As one gets larger, the other gets smaller. So if x = 3, then y = 4218.8, which is under half the original value."
Equation with angle addition can someone answer please
Given:
angle ABD = 70⁰angle ABC = 3x + 33angle CBD = 5x + 13[tex]\angle ABC + \angle CBD = \angle ABD[/tex]
3x + 33 + 5x + 13 = 70⁰
8x + 46 = 70⁰
x = 3
Thus angle ABC = 3(3) + 33 = 42⁰
Answer: 40
Step-by-step explanation:
Just added them together
Marcus builds kites for a 14 day summer kite festival he plans to give away about the same number of kites each day he gives away 492 kites the first two days did Marcus stick to his plan?
Answer:
He did not stick to plan; he does not have enough kites.
Step-by-step explanation:
A key information is missing from the question, the number of kites that Marcus made.
After a quick web search, I have found that, in this problem, Marcus has built 2,744 kites in total.
It is know that he gave away 492 kites in the first two days, in a 14 day festival, there are 7 two-day periods. The number of kites required for Marcus to keep that same rate throughout the whole festival is:
[tex]n=\frac{14}{2}=7 \\K=7*492\\K=3,444\ kites[/tex]
Therefore, Marcus did not stick to his plan since he would have needed 3,444 kites to give kites away at the same rate as he did for the first couple days. This could also be interpreted as Marcus giving away too many kites in the first couple days.
What is the inverse of the logarithmic function
f(x) = log gX
Answer:
An exponential function. [tex]f(y) = g^{y}[/tex]
Step-by-step explanation:
The inverse of the logarithmic function is an exponential function.
[tex]f(x) = \log_{g} x[/tex]
[tex]g^{f(x)} = x[/tex]
[tex]g^{y} = f(y)[/tex]
[tex]f(y) = g^{y}[/tex]
0.00147 in standard form
Answer:
[tex]1.47 * 10^{-3}[/tex]
Step-by-step explanation:
So I think standard form is basically scientific notation.
[tex]1.47 * 10^{-3}[/tex]
Let me know if this is wrong
A restaurantis planning to make changes to its menu. In order to decide which potential menu items are most popular with the city's population, the owners will conduct a survey. Which survey methods would produce a representative sample of the city's population
Answer:
Simple random sampling survey method
Step-by-step explanation:
A simple random sampling is an unbiased survey technique Hence it will represent all the parts of the city's population.
In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population). Each individual is chosen randomly and entirely by chance, such that each individual has the same probability of being chosen at any stage during the sampling process
Jerry is making trail mix for his camping trip. He has 400 grams of peanuts, 350 grams of raisins, and 785 grams of pretzels. He wants to make 2 kilograms of trail mix.
How many more grams of ingredients does he need to add to the mix?
Jerry needs 465 grams more of ingredients to add to the mix.
The perimeter of a regular hexagon is ninety-six centimetres. Find the length of each side.
Answer:
54cm, which is one side length
Step-by-step explanation:
The sum of all of the sides are 6, it's a regular hexagon the perimemter is just six times one side 36cm
Hope It Helps!
Evaluate the expression when a=6 and b=4.
b +9a
Answer:
58
Step-by-step explanation:
What is the volume of the cylinder below?
A. 20472 units 3
B. 18157 units 3
C. 9687 units
D. 352 units 3
The area of grandiose rectangular painting is 56 in.² the width of the painting is 7 inches what The area of grandiose rectangle or painting is 56 in.² the width of the painting is 7 inches label the rectangle to represent the paying
Complete Question
The area of grandiose rectangular painting is 56 in.² the width of the painting is 7 inches what is the diagonal of the painting
Answer:
The diagonal of the rectangular painting is [tex]z = 10.63 \ m[/tex]
Step-by-step explanation:
The diagram for this question is shown on the first uploaded image
From the question we are told that
The area is [tex]A = 56 \ in^2[/tex]
The width of the painting is [tex]w = 7 \ in[/tex]
Generally the area of the rectangle is mathematically represented as
[tex]A = l * w[/tex]
where [tex]l[/tex] the length which is mathematically evaluated as
[tex]l = \frac{A}{w}[/tex]
substituting value
[tex]l = \frac{56}{7}[/tex]
[tex]l = 8 \ in[/tex]
According Pythagoras theorem
[tex]z ^ 2 = l^2 +w^2[/tex]
Where z is the diagonal of the rectangular painting
Now substituting values
[tex]z = \sqrt{7^2 + 8^2}[/tex]
[tex]z = 10.63 \ m[/tex]
In math class, 4 students complete individual surveys to determine the percentage of high school teachers that have a second job. Which two surveys show proportional results?
A) A and B
B) B and D
C) A and D
D) B and C
Answer:
the answer is D
Step-by-step explanation:
How many 4 minutes and 30 seconds in 2 hours
4 minutes and 30 seconds go into 2 hours 26 times
119
Angle CCC is inscribed in circle OOO.
\overline{AB}
AB
start overline, A, B, end overline is a diameter of circle OOO.
What is the measure of \angle B∠Bangle, B?
^\circ
∘
degrees
Answer:Angle B is 44 Degrees
Step-by-step explanation: Angle C intersects the circle at the endpoints of a diameter, it intercepts an arc of 180 degrees
The measure of an inscribed angle is half the measure of its intercepted arc, so we know that the measure of angle C is 90 degrees
The angles of triangle ABC must add up to 180 degrees
m∠A+m∠B+m∠C=180
46+m∠B+90=180
m∠B+136=180
m∠B=44
The measure of Angle B in the given diagram is 44 Degrees
Angle C intersects the circle at the endpoints of a diameter, it intercepts an arc of 180 degrees
The measure of an inscribed angle is half the measure of its intercepted arc, so we know that the measure of angle C is 90 degrees
What is the sum of the angles in a triangle?The angles of triangle ABC must add up to 180 degrees.
The total sum of the angle in triangles is180 degrees.
m∠A+m∠B+m∠C=180
46+m∠B+90=180
m∠B+136=180
m∠B=44
Therefore, The measure of Angle B in the given diagram is 44 Degrees.
To learn more about the angle visit:
https://brainly.com/question/25716982
#SPJ2
You put $2000 into an account earning 4% interest compounded continuously. Find the amount in the account at the end of 8 years.
Answer:
You'll need the attached formula.
Total = Principal * e ^ (rate * years)
rate = .04
Total = 2,000 * 2.718281828 ^ (.04 * 8)
Total = 2,000 * 2.718281828 ^ (.32)
Total = 2,000 * 1.3771277643
Total = 2754.2555285231
Total = 2,754.26 (rounded)
Step-by-step explanation:
The amount in the account at the end of 8 years will be $2,737.12.
To understand the calculations, check below.
Compound interest:The compound interest amount is given as,
[tex]Amount=P*(1+\frac{r}{100} )^{n}[/tex]
Where P is principal , r is rate and n is times.
It is given that,
[tex]P=\$2,000, r=4\%, t=8 years[/tex]
[tex]Amount=2,000*(1+\frac{4}{100} )^{8}\\\\Amount=2000*(\frac{104}{100} )^{8} \\\\Amount=\$ 2,737.12[/tex]
Learn more about the compound interest here:
https://brainly.com/question/24924853
1/4 (x + 2x + 16 - 8)
Your goal is to design a new shape for a cereal container that will hold the same volume of cereal as a standard ceareal box and costs as little as possible to make. Assume that cardboard costs $0.05 per square inch. How cheaply can you package cereal?
These figures are available.
* triangular prism
* rectangular prism
* cube
* pyramid
* cone
* cylinder
* sphere
You need to keep the volume the same as the original, the surface area has to be less, and the price has to be the cheapest. The original volume was 192in^3. The surface area was 272in^2.
Answer:
$14.50
Step-by-step explanation:
To calculate the cost for manufacturing a standard cereal box, we must take in account its surface area. The volume will be used to estimate the amount of cereal, the box can contain. The box is a cuboid as standard cereal boxes are cuboid.
So, we will consider the surface area. Given are:
Length- 8 inches
Width- 3 inches
Height- 11 inches
We will find the surface area as : 2lw + 2wh +2lh
= (2x8x3) + (2x3x11) + (2x8x11)
= 48 + 66 + 176 = 290 square inches
Given is - the cost of manufacturing the box is $0.05 per square inch.
So, cost of manufacturing the box with 290 square inches area =
0.05 x 290 = $14.50
The answer is $14.50
Which number is closest to 240 ?
Select one:
a. 15.40
b. 15.45
c. 15.50
d. 15.55
Answer:
D
Step-by-step explanation:
15.55 is the closest number out of all of the answer choices.
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Answer:
d
Step-by-step explanation:
Answer:
C. 23
Hope this helps :-D
Find the area of the Combined Rectangles.
Answer:
128
Step-by-step explanation:
First, I cut this rectangle in half vertically, right through the middle.
To find the area of an rectangle, multiply length by the height
Left rectangle area : 8*10 = 80 ( 8 is the height and 10 is the length)
Right rectangle area: 8*6 = 48 (8 is the length and 6 is the height)
Add the lengths together : 80+48= 128
The area of this rectangle is 128
The receiver's hands and the ball are at the same height at ft above the ground.
Answer: 9
Step-by-step explanation:
i just did it edg2020
what is 34342424×453?
Answer:
1.555711807*10^10
Step-by-step explanation:
answer:
1.5557118072 x 10^10