Stefan drove to work in rush hour traffic, going just 25 miles in 1 hour and 8 minutes. Later that day, he left work early to avoid the rush and was able to take the same route home in 32 minutes. What was Stefan's average speed overall?

Answer:

340=10*340 calculated

Answer:

340

Step-by-step explanation:

i know math alot

5.2187 x 10^−3, 2.05 x 10^7, and 3.40 x 10^3 multiply all the terms. There will be 9 significant digits in the final result.

Given that,

5.2187 x 10^−3, 2.05 x 10^7, and 3.40 x 10^3 multiply all the terms.

We have to find how many digits should be significant for the product.

Multiplication is the action of adding a number to itself for the specified number of times. For instance, 3 × 4 denotes the addition of 3 to itself 4 times, and the opposite is true for the other number.

The multiplication of the given numbers is

=5.1287 × 10⁻³ × 2.05 × 10⁷ × 3.40 × 10³

=5.1287 × 2.05 × 3.40 × 10⁽⁻³⁺⁷⁺³⁾

= 35.747039 × 10⁽⁻³⁺⁷⁺³⁾

= 35.747039 × 10⁷

= 3.5747 × 10⁸

Given that the digit "3" comes before the decimal and the number "10" has a power of 8. As a result, there are 9 significant digits in total (8 + 1).

Therefore, There will be 9 significant digits in the final result.

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Answer:

13 cm

Step-by-step explanation:

Pythagoras Theorem explains the relationship between the three sides of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle:

\(\large\boxed{a^2+b^2=c^2}\)

Where:

Given:

Substitute the given values into the formula and solve for c:

\(\begin{aligned} a^2+b^2&=c^2\\\implies5^2+12^2&=c^2\\25+144&=c^2\\169&=c^2\\c^2&=169\\\sqrt{c^2}&=\sqrt{169}\\c&=13\end{aligned}\)

Therefore, the measure of the hypotenuse is 13 cm.

Given the information, the probability that a response is between the ages of 18 and 29 and 30 or older is, respectively, 0.536 and 0.654. There is a 0.265 percent chance that they will say yes—that global warming will affect them over their lifetime. Concern over global warming also seems to vary across people aged 18 to 29 and those over 30.

Probability is the ratio of favourable events to all other potential outcomes in a circumstance. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability.

Positive Results/Total Results = x/n = Probability (Event)

The likelihood that a respondent between the ages of 18 and 29 believes that there will be no significant threat from global warming in his or her lifetime is:

P (18-29 and no) = 293/(134 + 293 + 117) = 0.536

The likelihood that a respondent who is 30 years of age or older believes that there will be no significant threat from global warming in his or her lifetime is:

P (30+ and no) = 432/(131 + 432 + 178) = 0.654

The likelihood that a randomly chosen respondent will select "yes"—that is, that they will experience the effects of global warming throughout their lifetimes—is:

P(Yes) = (134 + 131)/(134 + 131 + 293 + 432 + 117 + 178) = 0.265

Yeah, it does seem that younger people (18–29) are less concerned about global warming than older people (30+). In comparison to respondents aged 18 to 29, the likelihood that a respondent aged 30 or older believes that global warming will not constitute a severe hazard during their lifetime is higher (0.654). (0.536). According to this, respondents who are older are less concerned about global warming than respondents who are younger. To confirm this difference, a formal statistical test would be required.

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The complete question is:

Do you think global warming will have an impact on you during your lifetime? A CBS News/New York Times poll of 1000 adults in the United States asked this ques- tion (CBS News website, December, 2014). Consider the responses by age groups shown below Response Age 18-29 30+Yes 134 131No 293 432Unsure a. What is the probability that a respondent 18-29 years of age thinks that global warming will not pose a serious threat during his/her lifetime?b. What is the probability that a respondent 30+ years of age thinks that global warming will not pose a serious threat during his/her lifetime? c. For a randomly selected respondent, what is the probability that a respondent answers yes? d. Based on the survey results, does there appear to be a difference between ages 18-29 and 30+ regarding concern over global warming?

Answer:

Step-by-step explanation:

1 ton = 2000 pounds

thus:

0.65T * (2000lb / 1 T) = 1300 lbs

Hope that helps!

Answer:

( 2, 60 )

Step-by-step explanation:

→ Read along the x - axis and then the y axis

Answer:

The difference is 10,400$.

Step-by-step explanation:

$61,000-$50,600=$10,400

Answer:

Step-by-step explanation:

man the formula is right there!

two points: (3,2) and (7,5)

\(y_2=5\\y_1=2\\x_2=7\\x_1=3\\slope=\frac{5-2}{7-3}=.75\)

The total contribution to Sharon's account over the 25-year period is $64,800.

To find the total contribution to Sharon's account, we need to consider both her contribution and her employer's contribution.

Social Security taxes are generally split evenly between the employee and the employer, with each paying half of the tax.

Sharon paid $32,400 in Social Security taxes over the 25-year period, which represents her share (half) of the total Social Security taxes paid.

To find the total contribution to her account, we simply need to double her share to include the employer's contribution:

Total contribution = Sharon's contribution + Employer's contribution

Total contribution = $32,400 + $32,400

Total contribution = $64,800

The total contribution to Sharon's account over the 25-year period is $64,800.

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Answer:

Let d = the number of dimes. Then the number of quarters is (40-d). The dimes contribute 10d cents to the total. The quarters contribute 25*(40-d) cents to the total. The "value" equation is 10d + 25*(40-d) = 760. Simplify and solve for x: 10d + 1000 - 25d = 760, or -15d = 1000-660 ---> -15d = -240. d =  = 16. Answer. 16 dimes and 40-16 = 24 quarters. by ikleyn(36377)

Step-by-step explanation:

Let d = the number of dimes. Then the number of quarters is (40-d). The dimes contribute 10d cents to the total. The quarters contribute 25*(40-d) cents to the total. The "value" equation is 10d + 25*(40-d) = 760. Simplify and solve for x: 10d + 1000 - 25d = 760, or -15d = 1000-660 ---> -15d = -240. d =  = 16. Answer. 16 dimes and 40-16 = 24 quarters. by ikleyn(36377)

Answer:

the Value of y=3 and x=5or 4.5

ANSWER

56.36%

EXPLANATION

The store posted a discounted price of $24.

The original price of the jeans is $55.

To calculate the percent decrease, we first have to subtract the new cost of the jeans from the original price of the jeans:

$55 - $24 = $31

Now, we divide this by the original price and multiply by 100:

There was a 56.36% decrease.

\(x=-\frac{1}{2}\)

You could solve this problem by either: Factoring or by using the Quadratic Formula.

SOLVING BY FACTORING STEPS

STEP 1: Move (2x−1)(x+1) to the left side of the equation by subtracting it from both sides.

\(2x^2+3x-(2x-1)(x+1)=0\)

STEP 2: Simplify 2x^2+3x−(2x−1)(x+1).

\(2x+1=0\)

STEP 3: Simplify each term.

\(2x^2+3x-2x^2-x+1=0\)

STEP 4: Simplify by adding terms.

\(2x+1=0\)

STEP 5: Subtract 1 from both sides of the equation.

\(2x=-1\)

STEP 6: Divide each term by 2 and simplify.

\(x=-\frac{1}{2}\)

SOLVE BY USING THE QUADRATIC FORMULA STEPS

STEP 1: Move all terms to the left side of the equation and simplify.

\(2x+1=0\)

STEP 2: Subtract 1 from both sides of the equation.

\(2x=-1\)

STEP 3: Divide each term by 2 and simplify.

\(x=-\frac{1}{2}\)

Answer:  q=40

Step-by-step explanation:

lets multiply first part of the equation

-4(-2q + 8)=8q-32

second part of the equation

-6(q - 8) + 12q= -6q+48+12q=6q+48

lets equal both

8q-32=6q+48

8q-6q=48+32

2q=80

q=80/2=40

Answer:

See problem 1 below.

Step-by-step explanation:

Problem 1.

1. <A, <D

Given

2. <1, <3

Given

3. BC is congruent to BC

Congruence of segments is reflexive.

4. ABC, DBC

AAS

The correct statement is; Pentagon M’N’P’Q’R is smaller than pentagon MNPQR because the scale factor is smaller than 1.

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

If a polygon is dilated by a scale factor = k

Rule to be followed as;

(x, y) → (kx, ky)

Here, k = Scale factor

If 0 < k < 1, size of the image will be reduced.

Similarly, k > 1, size of the image will be enlarged.

We are given that Pentagon MNPQR is dilated with the origin as the center of dilation to form an image M'N'P'Q'R'.

Rule used for the transformation,

(x, y) → (1/4x, 1/4y)

Here, the scale factor through which MNPQR has been dilated is 1/4.

Since, scale factor is between zero and 1/4, size of M'N'P'Q'R' will be reduced.

Therefore, the size of pentagon M'N'P'Q'R' will be 1/4 smaller than pentagon MNPQR.

Option (2) is the answer.

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The complete question is: Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x, y)→(1/4x, 1/4y) to create pentagon M'N'P'Q'R'.

Which statement is true?

a. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.

b. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.

c. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.

d. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.

Answer:

? = 9.2

Step-by-step explanation:

The angle between a tangent and radius at the point of contact is 90°

Then the triangle shown is right with legs ? , 6.9 and hypotenuse = (6.9 + 4.2) = 11.5

Using Pythagoras' identity in the right triangle

?² + 6.9² = 11.5²

?² + 47.61 = 132.25 ( subtract 47.61 from both sides )

?² = 84.64 ( take the square root of both sides )

? = \(\sqrt{84.64}\) = 9.2

Answer:

Solution given:

BC=BD=6.9 units

AD=4.6units

Now

AB=4.6+6.9=11.5units.

we have

<C=90°[the line from the tangent is perpendicular to the radius of circle]

we know that ∆ABC is a right angled triangle.

hypotenuse [h]=AB=11.5units

base[b]=BC=6.9 units

perpendicular [p]=x units

By using Pythagoras law

h²=p² +b²

11.5²=x²+6.9²

x²=11.5²-6.9²

x²=84.64

x=\( \sqrt{86.64} \)=9.2

Sothe segment length indicated is 9.2 units.

First find volume of both the cylinders:

Cylinder Volume Formula: πr²h

(r => radius, h => height)

*Container A:

r = 8

h = 15

πr²h = π(8)²(15) = 960π³

*Container B:

r = 11

h = 13

πr²h = π(11)²(13) = 1573π³

What % of container B is empty after the pumping is complete?

The water pumped from A to B, and we want to know remaining that is empty: A < B: 1573π³- 960π³ = 613π³. Now to find %:

\(\frac{613\pi^{3} }{1573\pi ^{3}} * 100 = 0.39 * 100 =\) 39% or 40% (Nearest Tenth)

Hope it helps!

To calculate the circumference of a circle, you can use the formula:

\(\displaystyle C=2\pi r\)

Where \(\displaystyle C\) represents the circumference and \(\displaystyle r\) represents the radius of the circle.

Given that the radius \(\displaystyle r\) is 8 inches, we can substitute this value into the formula:

\(\displaystyle C=2\pi (8)\)

Simplifying the expression:

\(\displaystyle C=16\pi \)

Thus, the circumference of a circle with a radius of 8 inches is \(\displaystyle 16\pi \) inches.

Note: \(\displaystyle \pi \) represents the mathematical constant pi, which is approximately equal to 3.14159.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Step-by-step explanation:

1.RamanA/c dr.6000

to sale a/c 16000

2.cash a/c.6000

to remain 6000

The last option which says  the roots of the auxiliary equation are √6 and -√6 is the correct one.

Auxiliary equation is the equation of characteristic polynomial which is calculated by substituting the right member of a standard differential equation by zero.

The roots of the equation is helpful in determining the nature of the general solution of the given differential equation.

We have the differential equation given in the question,

d²y / dx²  - 6y = 0

Now we can replace d²y / dx² as y''.

y'' - 6y = 0, where y'' is the second derivative of y.

Now we have to find the roots of the auxiliary equation.

Let c = y', then c² = y''

c² - 6 = 0

c² = 6

c = +√6 and -√6

So the roots of the equation are √6 and -√6.

Hence the roots of the auxiliary equation of the differential equation given are +√6 and -√6.

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Answer:

b

Step-by-step explanation:

because it is right

The surface area of each square pyramid, we used the formula Surface Area = Base Area + 4 x (1/2 x Base x Height of Face) is 1049.2, 1285.8 and 2100mm². The cost to cover each pyramid was $1.05, $1.29 and $2.10

To calculate the surface area of each pyramid, we need to use the formula

Surface Area = Base x Height of face + 2 x ((Base/2) x Slant Height)

For the small pyramid, we have

Surface Area = 20 x 25 + 2 x ((20/2) x 26.46)

Surface Area = 500 + 2 x 10 x 26.46

Surface Area = 1049.2 mm²

Cost to cover the small pyramid

Cost = Surface Area x 0.001

Cost = 1049.2 x 0.001

Cost = $1.05

For the medium pyramid, we have

Surface Area = 20 x 40 + 2 x ((20/2) x 42.43)

Surface Area = 800 + 2 x 10 x 42.43

Surface Area = 1285.8 mm²

Cost to cover the medium pyramid

Cost = Surface Area x 0.001

Cost = 1285.8 x 0.001

Cost = $1.29

For the large pyramid, we have

Surface Area = 30 x 40 + 2 x ((30/2) x 50)

Surface Area = 1200 + 2 x 15 x 50

Surface Area = 2100 mm²

Cost to cover the large pyramid

Cost = Surface Area x 0.001

Cost = 2100 x 0.001

Cost = $2.10

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By a change of units, we will get that 108 mi/h = 158.4 ft/s

Here we want to transform 108 mi/h to feet per second.

Then we will use two relations:

Then we can just transform as:

108mi/h = (108*5,280 ft)/h = 570,240 ft/h

570,240 ft/h = 570,240 ft/(3,600 s) = 158.4 ft/s

So we have:

108 mi/h = 158.4 ft/s

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