Answer:
The easiest method is to find the x-intercepts of the quadratic function by substituting y=0 in the function and solving it to find the possible values of x. The number of all possible values of x is the number of x-intercepts of the graph.
b) How fast should a boy of 40kg mass run so that the kinetic energy becomes 800J?
Answer:
v = 6.32 m/s
Step-by-step explanation:
Given Data:
Mass = m = 40 kg
Kinetic Energy = KE = 800 J
Required:
Speed = v = ?
Formula:
[tex]\displaystyle KE = \frac{1}{2} mv^2[/tex]
Solution:
Rearrange the formula for speed
[tex]\displaystyle v =\sqrt{\frac{2KE}{m} } \\\\Put \ values\\\\v = \sqrt{\frac{2(800)}{40} } \\\\v = \sqrt{2(20) } \\\\v = \sqrt{40} \\\\\boxed{v = 6.32 \ m/s}\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807matthew drove 252 miles to his familys vacation spot his father drove twice as many miles and then thy arrived at their hotel how far did the family travel to get to their destination
Assume that the demand curve D(p) given below is the market demand for widgets:
Q=D(p)=1204−11p, p > 0
Let the market supply of widgets be given by:
Q=S(p)=−3+6p, p > 0
where p is the price and Q is the quantity. The functions D(p) and S(p) give the number of widgets demanded and supplied at a given price.
What is the equilibrium price?
Please round your answer to the nearest hundredth.
What is the equilibrium quantity?
Please round your answer to the nearest integer.
What is the consumer surplus at equilibrium?
Please round the intercept to the nearest tenth and round your answer to the nearest integer
What is the producer surplus at equilibrium?
Please round the intercept to the nearest tenth and round your answer to the nearest integer.
What is the unmet demand at equilibrium?
Please round your answer to the nearest integer.
Answer:
Step-by-step explanation:
I'll use y for quantity and x for price [love my x and y] and rewrite the demand and supply functions:
Demand: y=1204−11x
Supply: y = -3 + 6x
==
We want to know the equilibrium price and quantity. The quantities purchased and sold would be equal to the quantities supplied:
1204−11x = -3 + 6x
-17x = - 1207
x = 71 The price of a widget is 71 units ($, €,£,¥, etc.) at equilibrium
A price of 71 would lead to a demand and supply of:
y = 1204−11x
y = 1204−11(71)
y = 423 Widgets
We can also plot this to find the point (71,423). See the attachment.
At this point, I'm uncertain how to answer the "producer surplus" and "unmet demand" at equilibrium. This is what I did, so please judge if it is correct.
The demand line, y=1204−11x, tells us that if the price were 0, the demand would be 1204, which I'll assume in the maximum, since it is stipulated that x > 0 (I imagine it may no longer be a straight line when the price goes into negative territory. I'd be the first in line to accept a widget and $5 if they were priced at -$5).
At equilibrium, therefore, we would still have an unmet demand of (1204 - 423) or 781 widgets that customers wanted, but wouldn't pay the price.
It seems to me that this would also be the unmet demand: Product that could have been sold, but wasn't, due to the price. I'm unsure, however.
HELLLP PLSSS QUICK
29 + 9x ≤ 65
solve for x
Answer:
x <= 4
Step-by-step explanation:
29+9x<65
-29. -29
9x<36
divide both sides by 9
x less than or equal to 4
Answer:
x ≤ 4
Step-by-step explanation:
29 + 9x ≤ 65
subtract 29 from both sides
29 - 29 + 9x ≤ 65 - 29
9x ≤ 36
divide both sides by 9
9x / 9 = x and 36 / 9 = 4
we're left with x ≤ 4
Alyssa needs 4 pieces of wood that are 12 inches long to build a box. She bought a length of wood that was 60 inches long. How much extra wood does she have?
Answer:
She has 12 inches wood left
Step-by-step explanation:
A pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%. It is known that from a particular production run impurity concentrations follow a normal distribution with a standard deviation of 0.4%. A random sample of 64 pills from a production run was checked, and the sample mean impurity concentration was found to be 3.07%. Testing at the 5% level the null hypothesis that the population mean impurity concentration is 3% against the alternative that it is more than 3%.
a. Calculate the p-value for this test.
b. Find the p-value for this test and draw your conclusion.
c. Suppose that the alternative hypothesis in part b had been two-sided rather than one-sided. Conduct your test using either the critical value or the p-value approach.
Answer:
c
Step-by-step explanation:
Marl me as brainliest answer c
The p-value for the given test is 0.0901.
Given that, a pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%.
What is a standard deviation?Standard deviation is the degree of dispersion or the scatter of the data points relative to its mean, in descriptive statistics.
Given, Mean = 3.07, μ=3%, σ =0.4% and n=64.
Hypothesis test [tex]H_{0}[/tex];μ=3 and [tex]H_{1}[/tex];μ>3
We need to test the null hypothesis against the alternative hypothesis, we reject the null hypothesis and accept the alternative hypothesis.
When x>x critical
x critical = μ+Z+σ
Z = (x-μ)/(σ/√n)
= (3.07-3)/(0.4/√64)
= (0.07)/0.05
= 1.4
α = 5 and [tex]z_{0.05[/tex]= 1.645
If Z>[tex]Z_{0.05[/tex]
1.4 > 1.645
Therefore, we do not reject null hypothesis at 5% significant level.
There is sufficient evidence that the mean impurity in concentration pills is 3% or less than 3%.
p-value
p−value=P(Z>1.4)
=1−P(Z<1.4)
=1−0.90988
=0.0901
Therefore, the p-value for the given test is 0.0901.
To learn more about the standard deviation visit:
https://brainly.com/question/14747159.
#SPJ2
Why is cube root of 9 equal to 9 to the one third power question mark
Answer:
3
just because
Answer:
See below
Step-by-step explanation:
[tex]\sqrt[3]{9}=9^{\frac{1}{3}}[/tex]
[tex](\sqrt[3]{9})^3=(9^{\frac{1}{3}})^3[/tex]
[tex]9=9^{\frac{1}{3}*3[/tex]
[tex]9=9^\frac{3}{3}[/tex]
[tex]9=9^1[/tex]
[tex]9=9[/tex]
Remember that [tex](a^b)^c=a^{b*c}[/tex]
Evaluate 7+4b when b= 3
Answer:
19
Step-by-step explanation:
7+ 4(3)
7+12= 19
Mark me brainliest!!
Which of the following statements explains the correct method to solve the equation 7x - 8 = 48?
Answer:
Follow the explanation below.
Step-by-step explanation:
7x = 48 - 8
7x = 40
x = 40/7
x = 5.714
this is long division… please help
Answer:
23.35
Step-by-step explanation:
Nolan had 30 minutes to do a three-problem quiz. He spent 8 7/10 minutes on question A and 4 2/5 minutes on question B. How much time did he have left for question C?
Answer:
16 9/10 minutes
Step-by-step explanation:
She is solving 3 questions, so her total time spent =
Total time = Time spent on A + Time spent on B + Time spent on C
30 minutes = 8 7/10 + 4 2/5 + Time C
Time C = 30 minutes - (8 7/10 + 4 2/5)minutes
Time C = 30 minutes - (13 1/0 minutes)
Time C = 16 9/10 minutes
Answer: 16m 54s
Step-by-step explanation:
8 7/10 + 4 2/5 = 13 1/10 or 13m 6s
30m - 13m 6s = 16m 54s
Could i have Brainliest, I am trying to rank up
3 movie tickets cost 3690$. At this rate, the cost per ticket is $....
Answer: The cost per ticket is $1,230.
Explanation: 3,690/3 = 1,230.
Answer: The cost for each ticket is $1,230.
Step-by-step explanation:
What is the slope of the line?
Answer:
1/4
Step-by-step explanation:
Answer:
m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
Witch equation can be simplified to find the inverse of y=5x^2+10
Answer:
[tex]\huge\boxed{y=\sqrt{\dfrac{x-10}{2}}\ \text{for}\ x\geq10}[/tex]
Step-by-step explanation:
[tex]y=5x^2+10\\\\\text{exchange x to y and vice versa}\\\\x=5y^2+10\qquad|\text{subtract 10 from both sides}\\\\x-10=5y^2\qquad|\text{divide both sides by 5}\\\\\dfrac{x-10}{5}=y^2\\\\y^2=\dfrac{x-10}{5}\to y=\sqrt{\dfrac{x-10}{2}}[/tex]
22. PLEASE HELP PLEASSSSSSEEEEEEEE
Answer:
me too i need help its in my HW and exam
Step-by-step explanation:
HELPPPPP please its worth 50
[tex](3 {m}^{6} {n}^{2} ) ^{3} .2m {n}^{4} \\ = {3}^{3} {m}^{6 \times 3} {n}^{2 \times 3} \times 2 m{n}^{4} \\ = 27 {m}^{18} {n}^{6} \times 2m {n}^{4} \\ = (27 \times 2) {m}^{18 + 1} {n}^{6 + 4} \\ = 54 {m}^{19} {n}^{10} [/tex]
Answer:
[tex]54 {m}^{19} {n}^{10} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
Solution given:
[tex]\bold{(3m^6n²)³.2mn⁴}[/tex]
distribute power
[tex]3³m^{6*3}n^{2*3}.2mn⁴[/tex]
[tex]27m^{18}n^6.2mn⁴[/tex]
multiply like terms and add or subtract power in multiplication
[tex]27*2.m^{18+1}n^{6+4}[/tex]
[tex]\large{\bold{54m^{18}n^{10}}}[/tex] is a required answer
What is -27/8×7/10
Because odbeoqhqbebebsns
The answer to this problem is going to be -2.3625
From a hot-air balloon, Grayson measures a 29^{\circ} ∘ angle of depression to a landmark that’s 1004 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
The balloon’s vertical distance above the ground is 556 feet
The set up will form a right triangle.
Given the following parameters
Angle of depression = 29 degreesHorizontal distance = 1004 feetTo get the height above the ground, we will use the SOH CAH TOA identity as shown;
Opposite = h
Adjacent = 1004 feet
Tan theta = h/1004
Tan 29 = h/1004
h = 1004 tan 29
h = 1004(0.5543)
h = 556.52 feet
Hence the balloon’s vertical distance above the ground is 556 feet
Learn more on angle of depression here: https://brainly.com/question/23497407
Find the product of ( - 6 + 3i) and its conjugate.
product =
Submit Question
Answer:
45Step-by-step explanation:
The conjugate of the given is:
( - 6 - 3i)Find their product:
(- 6 + 3i)( - 6 - 3i) = (-6)² - (3i)² = 36 - 9i² = 36 - 9(- 1) = 36 + 9 = 45PLZ SOLVE THE PROBLEM
Answer:
[tex]-2\frac{1}{2}[/tex]
Step-by-step explanation:
→ Minus the 2 numbers from each other
[tex]-1\frac{1}{5} -1\frac{3}{10}[/tex]
→ Find the LCM
[tex]-1\frac{2}{10} -1\frac{3}{10}[/tex]
→ Simplify
[tex]-2\frac{5}{10} =-2\frac{1}{2}[/tex]
A car can travel 300 miles on 12 gallons of gas. At this rate, how many miles can the car travel on 1 gallon of gas?
12 miles
12 miles
25 miles
25 miles
120 miles
120 miles
312 miles
312 miles
Answer:
25 miles?
Step-by-step explanation:
Which any quality represents the statement the sum of -3 and a number is at least 5
Answer: -3 + n >= 5
Step-by-step explanation: I got it wrong on the test but got the correct answer from test review on K12
Which equation below compares the amount of medicine, S, in Sofia’s system with the amount of medicine, L, in Lexi’s system? L = 16 x S S = 16 x L L = 4 + S S = 4 + L
Answer:
L=16xS
Step-by-step explanation:
Select each equation which is equivalent to 60% of 25.
0.6 • 25 = x
x • 1.6 = 25
610=x25
60100=25x
x25=60100
6.0 • 25 = x
The equation which is equivalent to 60% of 25 are x • 1.6 = 25, 0.6 • 25 = x and x/25=60//100
Percentages can be expressed as decimals or fractions.
Given the expression 60% of 25, this can b expressed as:
60% of 25 = xwhere x is the result of the expression.
60/100 * 25 = xExpressing 60% as a decimal will give;
0.6 of 25 = x
0.6 * 25 = x
From the expression 60/100 * 25 = x, this can also be written as:
25 = 100/60 x
25 = 10/6 x
25 = 1.6x
Hence the equation which is equivalent to 60% of 25 are x • 1.6 = 25, 0.6 • 25 = x and x/25=60//100
Learn more on equation here: https://brainly.com/question/2972832
A raised flower bed is 40 feet long, 7 feet wide, and 1.2 feet deep. Find the area of the bed and the volume of soil it holds.
Area = length x width
Area = 40 x 7 = 280 square feet
Volume = length x width x depth
Volume = 40 x 7 x 1.2 = 336 cubic feet
Pls help plz thank you
Answer:
14, 31, 62
Step-by-step explanation:
11 + 3 = 14
14*2 = 28
28 + 3 = 31
31*2=62
List all the factors of 19. Tell whether 19 is prime or composite.
Answer:
19 is a prime number, thus making the only factors 1, 2, 19. (Not necessary to include 1)
Step-by-step explanation:
Solve x2 + 5x – 3 = 0 using the quadratic formula.
Solve (2x – 1)2 = 8 using the quadratic formula.
A) x = –1∕2 + , x = –1∕2 –
B) x = 1∕2 + , x = 1∕2 –
C) x = 1∕2
D) x = –1∕2
Answer:
d
Step-by-step explanation:
distribute two through the parentheses
=4x-2
move the constant to the right side and change its sign
=4x=8+2
=4x=10
divide both sides by 4
x=5/2
Jaxon Rollison
10 of 1410 of 14 Items
Question
A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earnings were $692.
What was the total amount of her sales for the week?
Answer:
6200
Step-by-step explanation:
first find how much she would make purely based on hours worked:
8x40 = 320 dollars
next subtract this from total on her paycheck so 692-320 is 372
we know that 372 is 6% of a number so...
[tex]\frac{6}{100}[/tex] x = 372
[tex]\frac{6x}{100}[/tex] = 372
6x= 37200(100)
x=6200 $ divide by 6
so she sold $6200 worth of merchandise to earn $372 of commission
how do you find the value of x on this triangle?
Answer:
Solving for X in a Right Triangle
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.