Answer: 5 minutes
Step-by-step explanation:
a. Jason's mother to catch him after time of 5minutes.
b. Jason biked for distance of 3miles when his mother catches him.
c. Mother has to drive with speed of 60mph to catch him at the school door, if Jason's school is 2.5 miles from his apartment.
What is speed?
" Speed is defined as the total distance travelled per unit time."
Formula used
[tex]Speed = \frac{total distance travelled}{total time taken}[/tex]
According to the question,
Speed of Jason bike = 12mph
1hour = 12miles
60minutes = 12miles
1minutes = [tex]\frac{12}{60}[/tex] miles
Speed of Jason's mother bike = 36mph
Time after mother found the homework = 10 minutes
After 10 minutes
Jason is at distance = [tex]\frac{12}{60} (10)[/tex]
=2miles
After 15 minutes = [tex]\frac{12}{60} (15)[/tex]
= 3miles
To cover three miles mother has to drive for
1hour = 36miles
60minutes = 36miles
1miles = [tex]\frac{60}{36}[/tex] minutes
3miles = [tex]\frac{60}{36} (3)[/tex]
= 5minutes
If Jason's school is 2.5 miles from his apartment,
Time taken by Jason to reach school door = [tex]\frac{2.5}{12.5} (60)[/tex] minutes
= 12.5 minutes
Time in which mother has to cover distance of 2.5miles
= [tex](12.5-10)[/tex]minutes
= 2.5minutes
Substitute the value in the formula we get,
Speed of mother's bike = [tex]\frac{2.5}{2.5} (60)[/tex] mph
= 60mph
Hence,
a. Jason's mother to catch him after time of 5minutes.
b. Jason biked for distance of 3miles when his mother catches him.
c. Mother has to drive with speed of 60mph to catch him at the school door, if Jason's school is 2.5 miles from his apartment.
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The snow is now 52 inches deep. If this was a 77%
decrease, what was the initial depth
Answer:
29.3785310734 is the exact answer but you can estimate
Step-by-step explanation:
Let’s say the initial depth was 100%.
A 77% decrease would mean that 77% of the 100% was added to the hole so then it final result would be 177% of the initial hole which is also 52 as given. 177% is the same as 1.77 so we would divide 52 by 1.77 to get that x = 29.3785310734. Still confusing? Just look here:
help me answer this question please
Answer:
f'(2) = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASCalculus
The definition of a derivative is "the slope of the tangent line".
Derivatives of constants are 0.
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 4x + 2
Step 2: Find 1st Derivative
Basic Power Rule: f'(x) = 2·3x²⁻¹ - 1·4x¹⁻¹Simplify: f'(x) = 6x - 4Step 3: Find tangent slope
Define: f'(x) = 6x - 4, x = 2Substitute: f'(2) = 6(2) - 4Multiply: f'(2) = 12 - 4Subtract: f'(2) = 8Step 4: Identify
f'(2) = 8 tells us that at x = 2, the slope of the tangent line is 8.
What is the exact value of sin(75°)?
Step-by-step explanation:
sin 75°: Now using the formula for the sine of the sum of 2 angles, sin(A + B) = sin A cos B + cos A sin B, we can find the sine of (45° + 30°) to give sine of 75 degrees.
Answer:
D.)
Step-by-step explanation:
Edge
LMC given numbers 60 and 80
240 is answer
LCM : least common factorhow many eights are there in three and a quater
Mario paid $30 to activate his cellular phone plus $50 per month. Type an equation:_
Answer:
50x + 30
Step-by-step explanation:
50 is the amount per month and x is how many months he's paying. If he's paying for 5 months then you replace x with 5 so on and so forth. the + 30 is the amount he paid to active his phone
Answer:
pa rompa pero no poden con mi pom pom con pom pom con pom pom
Step-by-step explanation:
8 less than the length L
Answer:
L-8=?
Step-by-step explanation:
Help no troll answer plz
Answer:
Step-by-step explanation:
Q 4. (25m + 25m) ÷ 25 sec. = 2 m/sec.
Q 5. This question belongs to Physics and not Mathematics!!!
Wavelength (lambda) = Velocity (v) ÷ Frequency ( [tex]sec^{-1}[/tex] or Hz )
f = v / (lambda)
f = 3 / 2 = 1.5 (Hz)
Q 6. 0.060 ÷ 2 = 0.030 m
5 + x + 3 + 2x = -2(4x - 15) show the work
Answer:2
Step-by-step explanation:
Explain why 3( + 4) = 3( − 5) has no solution. Choose the best response below. I NEED THIS ASAP!!!
a. The coefficients of are the same, but the constant terms are different.
b. The coefficients of are the same, and the constant terms are same.
c. The coefficients of are different, but the constant terms are the same.
d. The coefficients of are different, and the constant terms are different.
Answer:
a. The coefficients of are the same, but the constant terms are different.
Step-by-step explanation:
it makes the most sence to me, but appoligise if I'm wrong
Help me with this please
Answer:
The First Table
Step-by-step explanation:
The y-values increase inconsistently, while the other tables are constant.
Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?
Answer:
No, it isn't.
Step-by-step explanation:
We have [tex]V=IR^{2}[/tex] and let [tex]H[/tex] be the subset of [tex]V[/tex] of all points on the line
[tex]4x+3y=12[/tex]
We need to find if [tex]H[/tex] is a subspace of the vector space [tex]V[/tex].
In [tex]IR^{2}[/tex] all the possibilities for own subspace of the vector space [tex]IR^{2}[/tex] are :
[tex]IR^{2}[/tex] itself.The vector [tex]0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right][/tex]All lines in [tex]IR^{2}[/tex] that passes through the origin ( [tex]0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right][/tex] )We know that [tex]H[/tex] is the subset of [tex]IR^{2}[/tex] of all points on the line [tex]4x+3y=12[/tex]
If we look at the equation, the point [tex]\left[\begin{array}{c}0&0\end{array}\right][/tex] doesn't verify it because :
[tex]4x+3y=12\\4(0)+3(0)=12\\0=12[/tex]
Which is an absurd. Therefore, [tex]H[/tex] doesn't contain the origin (and [tex]H[/tex] is a line in [tex]IR^{2}[/tex]). Finally, it can't be a vector space of [tex]V=IR^{2}[/tex]
Select the correct answer.
The surface area of a cube is 600 square inches. What is the area of one of its faces?
A 6 square inches
B. 36 square inches
C. 75 square inches
D. 100 square inches
Answer:
D=100 square inches
Step-by-step explanation:
Area of a square=side^2
Area of a cube=6xside^2
let the side be a
6a^2=600
a^2=600/6
a^2=100
Answer:
im on it its d
Step-by-step explanation:
If 3x + 7 = 5 for some value of x, then what does the expression 6x +17 equal for the same value of x?
Answer:
13
Step-by-step explanation:
First, double the first equation.
If 3x+7=5, then 6x+14=10
Since they are asking for 6x+17, the answer is 10+3=13
Hope I helped!
hurry please
factory the polynomial by grouping
2x^2+ 5x + 10x + 25
PLZ HELP!!!this is due in 5mins
WILL GIVE BRAINLIEST...
Francine has a picture with a length 5/3 its width. She wants to enlarge the picture to have an area of 240 in2. What will the dimensions of the enlarged picture be?
w = 20 in, h = 12 in
w = 24 in, h = 10 in
w = 12 in, h = 20 in
Jamie was working on his math homework with his friend, Kent. Jamie looked at the following problem.
−9.5 − (−8)− 6.5
He told Kent that he did not know how to subtract negative numbers. Kent said that he knew how to solve the problem using only addition. What did Kent mean by that? Explain.
Answer:
When subtracting a negative number, the two subtractions signs cancel out to be a positive.
Step-by-step explanation:
When subtracting a negative number, the two subtractions signs cancel out to be a positive.So, -9.5 - (-8) - 6.5 = -9.5 + 8 - 6.5I hope this helps!
how do u find the third side
Answer:
Square root of 49
The missing side is 7
Step-by-step explanation:
With the Pythagorean theorem.
25^2= 625
24^2= 576
Square root of 49=7
The missing side is 7
Graph the greatest integer, f(x) = [x]
Answer:
Step-by-step explanation:
Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find:
(a) the probability that a single score drawn at random will be greater than 110
(b) the probability that a sample of 25 scores will have a mean greater than 105
(c) the probability that a sample of 64 scores will have a mean greater than 105
(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105
Answer:
(a) 0.2033
(b) 0.0188
(c) 0.0004
(d) 0.095
Step-by-step explanation:
(a) the probability that a score at random is greater than 110 is obtained with a normal distribution of mean 100 and standard deviation 12 can be estimated using the z-table for Z = (110 - 100)/12 = 0.83
So P (X > 110) = P (Z > 0.83) = 0.2033
(b) Probability that a sample of 25 scores will have a mean greater than 105:
we use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{25} = 5[/tex]. That is a standard deviation of 12/5 = 2.4. which gives a Z-value of (105-100) / 2.4 = 2.08
P (X> 105) = P (Z > 2.08) = 0.0188
(c) Probability that a sample of 64 scores will have a mean greater than 105:
we use a standard distribution with the same mean (100) but the standard deviation reduced by a factor of [tex]\sqrt{64} = 8[/tex]. That is a standard deviation of 12/8 = 1.5. which gives a Z-value of (105-100) / 1.5 = 3.33
P (X> 105) = P (Z > 3.33) = 0.0004
(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105
This will be the addition of the two probabilities. We use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{16} = 4[/tex]. That is a standard deviation of 12/4 = 3. which gives us two different Z values to study:
(105-100) / 3 = 1.67
and for X= 95 ==> Z = (95 - 100)/3 = - 1.67
P (X > 105) = P (Z > 1.67) = 0.0475
P (X < 95) = P (Z < -1.67) = 0.0475
which add up to: 0.095.
Using the normal distribution and the central limit theorem, it is found that there is a:
a) 0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.
b) 0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.
c) 0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.
d) 0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 100, hence [tex]\mu = 100[/tex].Standard deviation of 12, hence [tex]\sigma = 12[/tex].Item a:
This probability is 1 subtracted by the p-value of Z when X = 110, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 100}{12}[/tex]
[tex]Z = 0.83[/tex]
[tex]Z = 0.83[/tex] has a p-value of 0.7967.
1 - 0.7967 = 0.2033
0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.
Item b:
Sample of 25, hence [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex].
This probability is 1 subtracted by the p-value of Z when X = 105, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{2.4}[/tex]
[tex]Z = 2.08[/tex]
[tex]Z = 2.08[/tex] has a p-value of 0.9812.
1 - 0.9812 = 0.0188
0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.
Item c:
Sample of 64, hence [tex]n = 64, s = \frac{12}{\sqrt{64}} = 1.5[/tex].
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{1.5}[/tex]
[tex]Z = 3.33[/tex]
[tex]Z = 3.33[/tex] has a p-value of 0.9996.
1 - 0.9996 = 0.0004
0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.
Item d:
Sample of 16, hence [tex]n = 16, s = \frac{12}{\sqrt{16}} = 3[/tex].
Both 105 and 95 are the same distance of the mean, so we find one probability, and multiply by 2.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a p-value of 0.9525.
1 - 0.9525 = 0.0475.
2 x 0.0475 = 0.095
0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.
A similar problem is given at https://brainly.com/question/24663213
You burn 4 Cal/min walking and 10 Cal/min running. You walk 10 to 20 min each day and run 30 to 45 min each day. You never spend more than an hour running and walking together. How much time should you spend on each activity to maximize the number of Calories you burn? Will you have exercised enough to burn off a 500-Calorie meal? A. 50 minutes running, 10 minutes walking; yes. B. 45 minutes running, 15 minutes walking; yes. C. 40 minutes running, 20 minutes walking; no. D. 30 minutes running, 30 minutes walking; no.
Answer:
I don’t know how to do the explanation but the answer is 15 min waking and 45 running. I got it right on the test
Step-by-step explanation:
A car travels 2,347 feet in 10 seconds. At that speed, how far can this car travel in 50 seconds?
Answer: 11,735
Step-by-step explanation:
2,347 x 5 = 11,735
Answer:
play car games and find out
Step-by-step explanation:
Can someone help me plz
Answer:
i think the answer is 7
A Ferris wheel can accommodate 55 people in 30 minutes. How many people could ride the Ferris wheel in 5 hours? What was that rate per hour?
Answer:
i believe your answer is 550 people, which would be 110/hr
Step-by-step explanation:
Hope that helps!
Is (2, 2) a solution of the inequality y < 3x - 5?
Answer: it’s not a solution or C
Step-by-step explanation:
the given point is (2,2) there is a x value and a y value
so 2 < 3(2)-5 *we know 3*2 is 6 and 6-5 is 1*
2 does NOT equal to 1
Answer:
Third option, It is not a solution.
Step-by-step explanation:
Solve for x: 5x + 15 = 28
Answer:
x= 2 [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
5x + 15 = 28
5x + 15 (-15) = 28 (-15)
5x = 13
5/5x = 13/5
x= 2 [tex]\frac{3}{5}[/tex]
Answer:
x=2.6
Step-by-step explanation:
1)write equation
2)put line through equal sign(if on paper, its way easier to put a line through.)
3)subtract 15 from 15
4)subtract 15 from 28(13)
If it were to be a negative 15 youd add 15. Never add or subtract to a number with a letter!
5)what's left over is 5×=28 divide 5 on both sides.
6)13÷5=2.6
Which transformations map the strip patterns onto itself?
Answer: D.
A horizontal translation and a glide reflection.
true or false ------- y-intercept is where a point crosses the x-axis
Answer:
false
Step-by-step explanation:
that would be x-intercept
Solve for f: (-1/8)f - (3/4) -
(1/4)f = 11
Answer: The answer is f= –31 1/3.
Step-by-step explanation: To solve for f, you’ll need to simplify the both sides of the equation, and then isolating the variable. Use online advanced calculators to calculate the equation to view all the steps.
In the model for exponential growth or decay, the amount, or size, at t=0 is represented by __ the amount, or size, at time t is represented by __
In the model for exponential growth or decay, the amount, or size, at t=0 is represented by [tex]N=N_{0}[/tex]. and at time t is represented by [tex]N=N_{0}e^{kt}[/tex]
Let us consider that [tex]N_{0}[/tex] is the initial amount and N is represent that amount after growth or decay in time t .
Model for exponential growth or decay is,
[tex]N=N_{0}e^{kt}[/tex]
Amount at t=0 is,
[tex]N=N_{0}e^{k*0}=N_{0}[/tex]
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