Answer:
[tex]h=4x^3+18[/tex]
Step-by-step explanation:
Given that,
The area of a triangle, [tex]A=14x^5 + 63x^2[/tex]
Base, [tex]b=7x^2[/tex]
We need to find the height of the triangle.
The formula for the area of the triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h\\\\\text{h is height}\\\\h=\dfrac{2A}{b}\\\\h=\dfrac{2\times (14x^5 + 63x^2)}{7x^2}\\\\h=\dfrac{2\times 7x^2(2x^3 + 9)}{7x^2}\\\\h=2(2x^3+9)\\\\=4x^3+18[/tex]
So, the height of the triangle is [tex]4x^3+18[/tex].
What is the income distribution of super shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. In the following table, income units are in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars.
Income range 5-15 15-25 25-35 35-45 45-55 55 or more
Midpoint x 10 20 30 40 50 60
Percent of super shoppers 20% 13% 21% 17% 20% 9%
Required:
Using the income midpoints x and the percent of super shoppers, do we have a valid probability distribution? Explain.
Answer:
Yes, the probability distribution is valid.
Step-by-step explanation:
Given :
Income range ___ midpoint(x) ___ %
5 - 15 __________ 10 _____20%
15 - 25 _________ 20 _____13%
25- 35 _________ 30 _____ 21%
35 - 45 _________40 _____ 17%
45 - 55_________ 40 ____ 20%
55 or more _______ 50 _____9%
Yes, we do have a valid probability distributuon ; as the summation of the percentage values is equal to 100%
Yes. Using the income midpoints x and the percent of super shoppers, we can conclude that we have a valid probability distribution.
Given:
Income ranges: 5-15, 15-25, 25-35, 35-45, 45-55, 55 or more.
Midpoints x: 10, 20, 30, 40, 50, 60
Percent of super shoppers: 20%, 13%, 21%, 17%, 20%, 9%.
A valid probability distribution has two must have properties:
Its probabilities are non-negative.
Its probabilities sum to 1.
In the given data, the percentages can be converted to probabilities by dividing by 100 as :
0.2, 0.13, 0.21, 0.17, 0.2, 0.09
None of the probabilities are negative.
All probabilities add up to 1
[tex]0.2 + 0.13 + 0.21 + 0.17 + 0.2 + 0.09 = 1[/tex]
Thus, given distribution is a valid probability distribution.
Learn more here:
https://brainly.com/question/795909
find the sum or difference of 2/3 + 5/6
Answer:
The sum would be
[tex]\frac{3}{2} [/tex]
The difference would be
[tex] \frac{2}{3} - \frac{5}{6} = - \frac{1}{6} \\ \\ or \\ \\ \frac{5}{6} - \frac{2}{3} = \frac{1}{6} [/tex]
Hi please help me answer this :)
Explain answer
Will give braisnlt
Answer:
There are no solutions
Step-by-step explanation:
No intersections or points that apply for the equations.
50. If angles are complementary, what’s value of x?
Answer:
x = 14
Step-by-step explanation:
For complementary angles, the sum of two angles is equal to 90 degrees.
We have,
[tex]m\angle ABC = 4x-10\\\\m\angle DBC = x+30[/tex]
ATQ,
[tex]4x-10+x+30=90[/tex]
Taking like terms together,
4x+x =90-30+10
5x = 70
x = 14
So, the value of x is 14.
If an orca is 200 m below the surface of the water and then swims up and jumps 5 m in the air, what is the total distance it traveled?
Answer:
Total distanced traveled = 205 m
Step-by-step explanation:
200 m+5 m=205 m
What are the like terms in the algebraic expression?
-ab+6ab-8+5ab-6a-b
O -band - 6a
O -²band 5ab
O 6aband 5ab
O Baband - 6a
I need help with this Geometry question
Answer: A) 6 in^2
First, you need to find the length of the base.
a = 3, b = ?, c= 5
Using Pythagorean Theorem*: a^2 + b^2 = c^2
b^2 = c^2 - a^2
b^2 = 5^2 - 3^2
b^2 = 25 - 9
b^2 = 16 (square root both sides)
b = 4
Now, you have to find the area using the area of a triangle formula: A = (bh)/2
A = (bh)/2
A = (4·3)/2
A = 12/2
A = 6 in^2
Pythagorean Theorem is used for this question since it's a right triangle.
Answer: A) 6in^2
Step-by-step explanation:
base = 4 in
height = 3 in (pythagorean theorem)
A = (bxh)/2 = (4x3)/2 = 12/2 = 6 in^2
[Calculus] particle at rest question. Show steps, please!
Answer:
E
Step-by-step explanation:
We are given that a particle's position along the x-axis at time t is modeled by:
[tex]x(t)=2t^3-21t^2+72t-53[/tex]
And we want to determine at which time(s) t is the particle at rest.
If the particle is at rest, this suggests that its velocity at that time is 0.
Since are we given the position function, we can differentiate it to find the velocity function.
So, by differentiating both sides with respect to t, we acquire:
[tex]\displaystyle x^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-21t^2+72t-53\big][/tex]
Differentiate. So, our velocity function is:
[tex]v(t)=6t^2-42t+72[/tex]
So, we will set the velocity to 0 and solve for t. Hence:
[tex]0=6t^2-42t+72[/tex]
We can divide both sides by 6:
[tex]0=t^2-7t+12[/tex]
Factoring yields:
[tex](t-3)(t-4)=0[/tex]
By the Zero Product Property:
[tex]t-3\text{ and } t-4=0[/tex]
Hence:
[tex]t=3\text{ and } t=4[/tex]
Therefore, at the 3rd and 4th seconds, the velocity of the particle is 0, impling that the particle is at rest.
Our answer is E.
a card is picked at random
from a pack of 52 playing
cards. what is the probobility
of selecting a spade
Answer:
1/4
Step-by-step explanation:
the probability of selecting a spade: 14/52 = 1/4
Find the missing angle measures
Please help
Answer:
angle N is 64 and the bottom one is 52
Step-by-step explanation:
M and N are the same angke and they add up to 128 and all angles in a triangle add up to 180 meaning the bottom angle is 52
Answer:
N = 64 if there is another letter it would be 52
Step-by-step explanation:
I hope this helps <3
Solve pls
2x - 5 = 7
Answer:
[tex]x = 6[/tex]Step-by-step explanation:
[tex]2x - 5 = 7 \\ 2x = 12 \\ x = 6[/tex]
Hey there!
“Solve 2x – 5 = 7”
FIRST: ADD both SIDES by 5
2x – 5 + 5 = 7 + 5
CANCEL out: –5 + 5 because it gives you 0
KEEP: 7 + 5 because it helps us solve for x
7 + 5 = 12
NEW EQUATION: 2x = 12
SECOND: DIVIDE both sides by 2
2x / 2 = 12 / 2
CANCEL out 2 / 2 because that gives you 1
KEEP: 12 / 2 because it gives you the value of x
NEW EQUATION; x = 12 / 2
SOLVE ABOVE and you have your answer
12 / 2 = 6
Therefore, x = 6 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
6 times 7 is 42 6 times 5 is 30 if that's any help please help me out.
6 * 5 = 30
42 - 30 = 12
? * 2 = 12
? = 6
solve ASAP for brain list and thanks make sure it's correct
Answer:
50 C = 122 F
Step-by-step explanation:
50°C × 9/5 +32
Please help it’s so important
Given:
In [tex]\Delta ABC, \overline{CA}=\overline{CB}[/tex].
[tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].
To prove:
[tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].
Proof:
In [tex]\Delta ABC[/tex], [tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].
It means, [tex]\Delta ACD\text{ and }\Delta BCD[/tex] are right angle triangles.
In [tex]\Delta ACD\text{ and }\Delta BCD[/tex],
Hypotenuse : [tex]\overline{CA}=\overline{CB}[/tex] [Given]
Leg : [tex]\overline{CD}=\overline{CD}[/tex] [Common]
If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then by HL postulate both triangles are congruent.
[tex]\Delta ACD\cong \Delta BCD[/tex] [HL postulate]
[tex]\overline{AD}\cong \overline{BD}[/tex] [CPCTC]
[tex]\overline{AD}=\overline{BD}[/tex]
It means, point D is the midpoint of [tex]\overline{AB}[/tex].
So, [tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].
Hence proved.
is 944544 divisible by 10
Let y be a function of x such that 8x+7y=51 what is the rate of change of y with respect to x
Answer: -8/7
Step-by-step explanation:
The tables represent two linear functions ina system
What is the solution to this system?
(-13/3,-25) (-14/3,-54) (-13,-50) (-14,-54)
Answer: i think it’s option D i might be wrong
Step-by-step explanation: i think it’s option D i might be wrong
1.4(X + 3) *
[
4x + 3
X + 12
4x + 12
Answer:
4x + 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Step-by-step explanation:
Step 1: Define
4(x + 3)
Step 2: Expand
Distribute 4: 4(x) + 4(3)Multiply: 4x + 12Answer:
[tex] \huge4(x + 3) = 4x + 12[/tex]
4x+12 is the right answer.HELP WILL GIVE BRIANLIEST
Which of the following best demonstrates the Distributive Property?
3 ( 2+ 4) = 4 ( 3+2)
4 ( 5 + 2) = 10 + 2
4 (5 + 6) = 4 * 11
3 + 6 + 2 = 2 + 3 + 6
Answer:
The 2nd equation
HELP ME PLZZ will give 30 points
Stock F had a price change of –4 dollars and Stock G had a price change of +1 dollars.
Brody said Stock G had a greater price change because a positive integer is greater than a negative integer. Is his statement correct? Explain why or why not.
sample response
No his statement is not correct. Brody confused value and magnitude. [-4]= 4 and -[+1] = 1. The magnitude of -4 is grater than the magnitude of +1. Stock F had a greater price change.
A $300 suit is marked down by 10%. Find the sale price.
The sale price is $
(Round to the nearest dollar as needed.)
Answer:
The answer is $270
Step-by-step explanation:
1. Take the original price.
2. Divide the original price by 100 and times it by 10.
3. Move the decimal one place to the left.
4. Minus this new number from the original one.
5. This will give you the discounted value.
I hope this helped! :)
estimate the sum of 945 + 537 + 617 by rounding each number to the nearest hundred
Answer:
Around 2080
Step-by-step explanation:
Answer is: 2000
Step-by-step explanation:
945 rounds to 900
537 rounds to 500
617 rounds to 600
Add them up to get 2000
Identity the composite number represented by the prime factorization below
22 X 32 X 7
It’s exponents
Answer:look below
Step-by-step explanation: The prime factorization of number is the break down into factors which are prime numbers (numbers without factors except 1 and itself). The factors 22 and 32 are composite numbers since they have more than 1 and itself as factors. They are not prime.
However, the factorization of 22 * 32 * 5 will equal a number. 22*32*5 = 3, 520. But it does not match the solutions given.
Answer:
2464
Step-by-step explanation:
prime factors : 32,11,7
32×11×7=2464
There are 3 red, 2 blue, and 1 yellow marbles in a bag. Once a marble is selected, it is not replaced. Determine the probability. P(red and then yellow)
Answer:
The probability of drawing a red is 50% blue is 1/3 or 33.33% yellow is 1/6 or 16.66
Step-by-step explanation:
Delta Airlines' flights from Boston to Seattle are on time 70 % of the time. Suppose 6 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 4 flights are on time is
Answer:
P(at least 4) = 0.74431
Step-by-step explanation:
Here
Probability of the flights on time is = 70% = 70/100= 0.7
q= 0.3
n= 6
As the probability of success and failure is constant and the n is also fixed then the binomail probability distribution can be used to solve this.
P (x= 4) = 6c4 *(0.7)^4 (0.3)^2= 15*0.2401* 0.09= 0.324135
P (x= 5) = 6c5 *(0.7)^5(0.3)^1= 6*0.16807* 0.3=0.302526
P (x= 6) = 6c6 *(0.7)^6 (0.3)^0= 0.117649P
P (x= 0) = 6c0 *(0.7)^0 (0.3)^6= 0.000729
P (x= 1) = 6c1 *(0.7)^1 (0.3)^5=0.010206
P (x= 2) = 6c 2*(0.7)^2 (0.3)^4=0.059535
P (x= 3) = 6c3 *(0.7)^3 (0.3)^3=0.18522
Probability of at least 4 means that probability of greater than 4 inclusive of 4.
This can be obtained in two ways.
First is by subtracting the probabilities of less than 4.
Second is by adding probabilities greater than 4 including 4.
We get the same answer with any of the two methods used.
P(at least 4) = 1- P(x<4)
= 1- [ 0.000729+ 0.010206 +0.059535+ 0.18522]
= 1- 0.25569
= 0.74431
P (at least 4) = P(x=4) +P(X=5) + P(x=6)
=0.324135+ 0.302526+ 0.117649
=0.74431
Jonah teachers pet training classes at the happy tails doggie daycare yesterday he talk to tricks to a group of dogs during a 30 minute class Jonah decided to create a longer class lasting 75 minutes if he teaches tricks at the same rate how many tricks with Jonah teach during the 75 minute class
Answer:
5
Step-by-step explanation:
he teaches 1 trick every 15 minutes 75 divided by 15 gives you 5 so Jonah can teach 5 tricks in a 75 minute class
Answer:
5
Step-by-step explanation:
bjhugvcyfxtdrzstxycfugiholiugkyftdrsetdfyugi
5. third term of (3x - y)5
Answer:
(5×3x)+(5×y)
Step-by-step explanation:
=15x+5y ans
(Giving brainliest to correct answer)
Need quick
28 POINTS ANSWER RIGHT
Congruence
Answer:
BE =DE
BEC=DEC
AEB AED
Step-by-step explanation:
not that hard lol
Plz help lol
(12221×222) ×+212%234\/()231331783)2343#23=22+×233)1(23€£÷÷) =
Answer:
(c) 24 (d) 2 -4 (e) 22 2 1.25 0
Step-by-step explanation:
Problem 1.1 (10 Points) Let 21 2j, and 23 j. Find the value of each of the following 3 4j, 22 expressions and give your answers in rectangular form z t jy. (a) 132122 (b) 321 421 (c) (21)3 (Note that superscript denotes conjugation.) 222 21 (d) 22 (e) 2223 Problem 1.2 (10 Points) (a) Find real numbers r and y such that 5z -3y j(5y z) 4. (b) Show that any complex number z can also be expressed as z e 2"* k 0, 1,2, 3. Problem 1.3 (10 Points) Express each of the following complex numbers in polar form. a) 2 2V3 (c) 1 j j2 7 4j (d) 3-2j (e) Problem 1.4 (10 Points) Use the results from Problem 1.2 (b) above to find all roots of the following complex numbers and plot your results in the complex plane. (a) 1 (Hint: there are 5 different answers and one is 2 (b) 23 (1 -j) (Hint: there are 3 different answers. (c) 24 (d) 2 -4 (e) 22 2 1.25 0
how many 3/8 are in 5 1/4
Answer: 14
Step-by-step explanation: