A bussiness woman drives 192 km at 96km/h to meet her friend and then drives home 64 km/h. Draw a travel graph showing journey.​

2x+6 is the required weight.

The weight of an object is defined as the force acting on the object due to gravity. It is a scalar quantity. Weight is measured in newtons.

In Physics, the gravitational force with which the earth attracts all the masses to its center is called weight.

In the given question,

Let the weight of an object is x.

6 pounds more than twice the weight means the required weight of an object will be the 2×weight of the object(x) + 6 pounds.

Therefore,

2x+6 is the required weight of the object.

The complete question is,

The weight of 1st object is x. The weight of the second object is 6 pounds more than twice the weight. What is the weight of the second object?

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The needed weight is 2x+6.

The force exerted on an object by gravity is known as the weight of the object. It has a scalar value. Newtons are a unit of weight.

Weight is the term used in physics to describe the gravitational force that pulls all masses toward the center of the earth.

In the posed query,

Let's say that an object weighs x pounds.

The needed weight of an object is the weight of the object(x) plus 6 pounds, which is 6 pounds more than twice the weight.

Therefore,

The object must weigh at least 2x+6.

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The complete question is:-

The first item weighs x pounds. The second object weighs 6 pounds more than it does, or more than twice as much. What does the second object weigh?

As a result, the following parametric equations describe the motion of the heat-seeking particle: x = a - 2t and y = b - 4t

As per the question given,

To find the path of a heat-seeking particle placed at point P on a metal plate with a temperature field T(x,y) = 100 - x^(2) - 2y^(2), we need to use the gradient vector of T(x,y).

The gradient of T(x,y) is given by:

∇T(x,y) = (-2x, -4y)

The heat-seeking particle moves in the direction of maximum increase of temperature, so it moves in the direction of the gradient vector, that is, (-2x, -4y).

To find the path of the particle, we need to integrate the gradient vector starting at point P = (a,b), where a and b are the coordinates of the point on the metal plate where the particle is placed.

So the path of the heat-seeking particle is given by the following parametric equations:

x = a - 2t

y = b - 4t

where t is the parameter that represents time.

These equations represent a straight line in the direction of the gradient vector of T(x,y). The particle moves from point P in the direction of the gradient vector, with a speed proportional to the magnitude of the gradient vector.

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Answer:

I DOnt get please more info

Step-by-step explanation:

a. The chart is prepared below.

b. At the end of 4 years, Ross still owes his parents $1,576.92.

To solve this problem, we need to calculate the balance of Ross's loan at the end of each year.

The balance for each year can be calculated by subtracting the yearly payment from the balance at the beginning of the year and adding the interest earned for the year.

The interest for each year is calculated by multiplying the balance at the beginning of the year by the annual interest rate of 3.2%.

Here are the steps for calculating the balance for each year:

Year 1:

Beginning balance = $2,500.00

Interest for the year = $2,500.00 x 0.032 = $80.00

Ending balance = $2,500.00 + $80.00 - $300.00 = $2,280.00

Year 2:

Beginning balance = $2,280.00

Interest for the year = $2,280.00 x 0.032 = $72.96

Ending balance = $2,280.00 + $72.96 - $300.00 = $2,052.96

Year 3:

Beginning balance = $2,052.96

Interest for the year = $2,052.96 x 0.032 = $65.76

Ending balance = $2,052.96 + $65.76 - $300.00 = $1,818.72

Year 4:

Beginning balance = $1,818.72

Interest for the year = $1,818.72 x 0.032 = $58.20

Ending balance = $1,818.72 + $58.20 - $300.00 = $1,576.92

Here's a table that shows the details:

Year ,principal ,Interest rate, interest, Payment ,annual owing

1 $2,500.00 $80.00 $300.00              $2,280.00

2 $2,280.00 $72.96 $300.00              $2,052.96

3 $2,052.96 $65.76 $300.00               $1,818.72

4 $1,818.72         $58.20  $300.00       $1,576.92

b. At the end of 4 years, Ross still owes his parents $1,576.92.

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Answer:

50$ an hour

Step-by-step explanation:

this is correct because subtract the $70 for parts and you get 250 and divide that by the 5 hours she had worked, hope this helped

The probability of winning the minimum award is:

(10 * 1) / 25,827 = 10/25,827 = 0.00038616.

What is probability ?

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur.

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, if a fair six-sided die is rolled, the probability of rolling a 2 is 1/6, since there is only one way to roll a 2 out of the six possible outcomes (1, 2, 3, 4, 5, 6).

According to the question:
To win the minimum award, the player must correctly match 2 numbers out of 5 on the white balls and 1 number out of 1 on the gold ball.

The number of ways to choose 2 numbers out of 5 is given by the combination formula:

C(5,2) = 5! / (2! * (5-2)!) = 10

So there are 10 ways to choose 2 numbers out of 5 on the white balls.

The number of ways to choose 1 number out of 1 on the gold ball is simply 1.

The total number of ways to choose 3 numbers out of 58 (57 white balls + 1 gold ball) is given by the combination formula:

C(58,3) = 58! / (3! * (58-3)!) = 25,827

Therefore, the probability of winning the minimum award is:

(10 * 1) / 25,827 = 10/25,827 = 0.00038616

Or, as a simplified fraction, the probability is 10/25,827.

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Answer:

QR = 15 cm

PQ = 20 cm

Step-by-step explanation:

Use the Pythagorean theorem. \(a^{2} +b^{2} =c^{2}\)

Find QR first since you know QP are SR.

\(a^{2} +b^{2} =c^{2}\\12^{2} +9^{2} =c^{2}\\144+81=c^2 \\225=c^2\\\sqrt{225} = \sqrt{c^2} \\c = 15\)

QR = 15 cm

Now you can find PQ. First find the length of PR by adding PS and SR together.

16 + 9 = 25

\(a^{2} +b^{2} =c^{2}\\a^{2} +15^{2} =25^{2}\\a^{2} +225 =625\\a^{2} +225-225 =625-225\\\a^{2} = 400\\\sqrt{a^2} =\sqrt{400} \\a = 20\)

PQ = 20 cm

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:

  all real numbers

Step-by-step explanation:

Both a(x) and b(x) are polynomials. The set of polynomials is closed on multiplication, so (b•a)(x) will also be a polynomial. All polynomials are defined for all real numbers. The domain is the set of input values (x) for which the function is defined.

The domain of (b•a)(x) is all real numbers.

Answer:

answer what???

Step-by-step explanation:

The option that is a representation that shows y as a function of x is the graph in option 2. The answer is B.

A function is any relation or table of values which may be represented in a graph that has only one possible y value that is assigned to each x-value.

The first option is not a function because x-value 0 has two corresponding y-values, 4 and 9.

In the third option, we also have two y-values, 5 and -5, that is assigned to one x-value, 0. So, it is not a function.

The graph in option 2 represents y as a function of x, because no two y-values is assigned to the same x-value.

The answer is: B.

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Answer:

A) Slope =

\(m = \frac{1}{4} x\)

explanation:

Take 2 random points off the line, I used (4,1) & (8,2)

The formula to find the slope when given 2 points is

\(m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} \)

so in this case x1 & y1 are assigned to (4,1)

and x2 & y2 are assigned to (8,2)

so substitute the numbers into the formula and solve !

\( m= \frac{y2 - y1}{x2 - x1} = \frac{2 - 1}{8 - 4} = \frac{1}{4} \)

this will result in the answer I got above!!

B) yes it does show a constant rate of change cause it's increasing in 1/4x intervals

C) just because you move the placement of a line on the graph doesn't mean it's going to effect the slope as long as the numbers on the axis don't change!!

Answer:

Zero's are X = 2 and X = -7

Step-by-step explanation:

you would set the factorized parts equal to zero, as in x - 2 = 0 and x + 7 = 0, then solve for x, and whatever you get is where y will be zero

Answer:

zeros: x = 2 and x = -7

Step-by-step explanation:

use zero product property - set the polynomial equal to 0

(x-2)(x+7) = 0

then set each factor separately to 0:

x - 2 = 0                         x + 7 = 0

solve for x by adding 2 to both sides in the equation on the right, and subtracting 7 from both sides in the equation on the left

x = 2                               x = 7

Answer:

1.8

Step-by-step explanation:

If we have half a dollar, three quarters, eight dimes, six nickels, and nine pennies , then we altogether have $2.44 .

In the question ,

it is  given that

we have half a dollar ,

which means half a dollar = $0.50

we have , three quarters means

we have 75 cents

and 75 cents = $0.75

we have 8 dimes ,

we know that 1 dime \(=\) 10 cents

so , 8 dimes = 80 cents

and 80 cents = $0.80

we have six nickels,

we know that 20 nickels = $1

so , 1 nickel = $1/20

and 6 nickel = $ 6/20 = $0.30

we have nine pennies ,

we know that 100 pennies = $1

So ,1 Pennie = $1/100

and 9 pennies = $ 9/100 = $0.09

Combining  all together we get

total money = half a dollar + three quarters + 8 dimes + six nickels + nine pennies .

Substituting the values , we get

total money = $0.50 + $0.75 + $0.80 + $0.30 + $0.09

= $2.44

Therefore , if we have half a dollar, three quarters, eight dimes, six nickels, and nine pennies , then we altogether have $2.44 .

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The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

-4/5

Step-by-step explanation:

Answer: A. -4/5

Step-by-step explanation:

Slope Formula: y2 - y1 / x2 - x1

-7 - (-3) = -4

9 - 4 = 5

slope = -4/5

Correct me if I am incorrect.

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Answer:

49/10000

Step-by-step explanation:

Answer:

1/9 rise 1 run 9

Step-by-step explanation:

if you graph the y coordinate as 3 and find the x value, x value should be 0. Point (0,3) and (-9,2) and do rise over run

Using law of cosine and Pythagorean theorem, the length of BC is 18 foot and CD is 12.3 foot

a) To find the length of support member BC, we can use the Law of Cosines:

BC^2 = AC^2 + AB^2 - 2 * AC * AB * cos(m/C)

where m/C is the measure of angle C. We know that m/A = 40° and m/D = 45°, so m/C must be the supplementary angle to the sum of these angles:

m/C = 180° - (m/A + m/D) = 180° - (40° + 45°) = 95°

Substituting known values into the Law of Cosines equation, we have:

BC^2 = 10^2 + 8^2 - 2 * 10 * 8 * cos(95°)

BC^2 = 100 + 64 + 160

BC^2 = 324

BC = sqrt(324) = 18

So, the length of support member BC is 18 feet to the nearest hundredth of a foot.

b) To find the length of cable CD, we can use the Pythagorean Theorem:

CD^2 = BC^2 + AC^2 - 2 * BC * AC * cos(m/A)

Substituting known values into the equation, we have:

CD^2 = 18^2 + 10^2 - 2 * 18 * 10 * cos(40°)

CD^2 = 324 + 100 - 360 * cos(40°)

CD^2 = 424 - 360 * cos(40°)

Using the cosine formula, we can find the value of cos(40°):

cos(40°) = cos(90° - 40°) = sin(40°)

And using a reference table or calculator, we find that sin(40°) = 0.766

So, substituting the value of cos(40°) back into the equation for CD^2, we have:

CD^2 = 424 - 360 * 0.766

CD^2 = 424 - 276.56

CD^2 = 147.44

CD = sqrt(147.44) = 12.3

So, the length of cable CD is 12.3 feet to the nearest hundredth of a foot.

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What was the correct answer?

Answer:

D

Step-by-step explanation:

There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

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Answer:

the interest earned is $50.22.

the balance of the account is $975.22.

Step-by-step explanation:

a. To find the interest earned, we can use the formula:

Interest = Principal x Rate x Time

where the Principal is $925, the Rate is 2.3% expressed as a decimal (0.023), and the Time is 2.4 years.

Interest = $925 x 0.023 x 2.4

Interest = $50.22

Therefore, the interest earned is $50.22.

b. To find the balance of the account, we need to add the interest earned to the initial principal:

Balance = Principal + Interest

Balance = $925 + $50.22

Balance = $975.22

Therefore, the balance of the account is $975.22.

Answer:

4

Step-by-step explanation:

2/3 • 6

*Multiply 2 and 6 by 3.

= (2 × 6) / 3

= 12/3

*12 divided by 3 is equal to 4.

= 4

___________

hope it helps!

Answer:

2/15

Step-by-step explanation:

(-3/5) (-2/9)

Rewriting

-3/9 * -2/5

-1/3 * -2/5

A negative times a negative is a positive.

2/15