car is traveling along a road that makes a 10° angle with the ground.

What is elevation, e, of the car on a stretch of road that extends horizontally 86 meters.



about 487.7m

about 55.8m

about 132.6m

about 15.2m

There are 90000 palindromes 10-digit numbers.

In this question we need to find the number of 10-digit integers are there which are palindromes.

We know that a palindrome is a number that reads the same forward and backward.

The numbers that remain same even if they are reversed.

For exa., 131, 5225

We can observe that for even digit palindromes first half should be equal second half in reversed order.

we can generalize it as variables:

abcdeedcba, for a not equal to 0

So if we know how many 5-digit numbers are there, all we have to do is reverse it and we will have our 10-digit palindrome number.

There are 10 digits in total (0 - 9)

Since the first digit cannot be zero we excluded it from our choice hence we have 1–9 i.e 9 choices for first place(hundred's place)

The second, third, fourth and fifth digit has all 10 choices.

So, in total there are 9 x 10 x 10 x 10 x 10= 90000 five digit numbers.

Therefore, the total 10-digit numbers which are palindromes =  90000

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The box plot for given minimum, maximum, median, Q1 and Q3  is plotted below.

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

The given data set is 14, 13, 13.5, 16, 14, 15.5, 14.5.

Order of data is 13, 13.5, 14, 14, 14.5, 15.5, 16.

Here, minimum is 13

Maximum is 16

Median is 14

Lower quartile range(Q1) is 13.5

Upper quartile range(Q3) is 15.5

Therefore, the box plot for given minimum, maximum, median, Q1 and Q3  is plotted below.

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Answer:

3 days

Step-by-step explanation:

Answer:

slope = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 10 ) and (x₂, y₂ ) = (10, 7 )

m = [tex]\frac{7-10}{10-8}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]

The area of a rectangle with given length and width is 2t³+15t²+19t+6 square units.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Given that, length of a rectangle =t²+7t+6 and width of rectangle =2t+1.

Here, area of a rectangle = (t²+7t+6)×(2t+1)

= t²(2t+1)+7t(2t+1)+6(2t+1)

= 2t³+t²+14t²+7t+12t+6

= 2t³+15t²+19t+6 square units

Therefore, area of a rectangle is 2t³+15t²+19t+6 square units.

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The value of x if The measure of the angle is = 5x + 4, The measure of the angle is = 146, The lines are parallel, is 6.

Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline.

Given:

The measure of the angle is = 5x + 4

The measure of the angle is = 146

The lines are parallel,

Calculate the value of x as shown below,

5x + 4 = 180 - 146  (Parallel line theorem, corresponding angle, and supplementary angles)

5x = 34 - 4

x = 30 / 5

x = 6

Thus, the value of x is 6.

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The time to reach 15 feet is 3.75 seconds and the times to reach 63 feet are 1.75 and 2.25 seconds

From the question, we have the following parameters that can be used in our computation:

h= -16t² + v₀t + h₀

Also, we have

v₀ = 64

h₀ = 0

So, the function becomes

h= -16t² + 64t

At a height of 15 feet, we have

-16t² + 64t = 15

So, we have

-16t² + 64t - 15 = 0

Factorize the equation

So, we have the following representation

(4t - 1)(4t - 15) = 0

Expand the equation

4t - 1 = 0 or 4t - 15 = 0

So, we have

4t = 1 or 4t = 15

This gives

t = 1/4 or t = 15/4

Express as decimals

t = 0.15 or t = 3.75

Here, we have

h= -16t² + v₀t + h₀

Also, we have

v₀ = 64

h₀ = 0

So, the function becomes

h= -16t² + 64t

At a height of 63 feet, we have

-16t² + 64t = 63

So, we have

-16t² + 64t - 63 = 0

Factorize the equation

So, we have the following representation

(4t - 7)(4t - 9) = 0

Expand the equation

4t - 7 = 0 or 4t - 9 = 0

So, we have

4t = 7 or 4t = 9

This gives

t = 7/4 or t = 9/4

Express as decimals

t = 1.75 and t = 2.25

Hence, the time is 2.25 seconds

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Complete question

An object is thrown vertically upward from a height of h₀ ft with an initial speed of v₀ ft/sec. Its height h (in feet) after t seconds is given by

h= -16t² + v₀t + h₀. Given this, if it is thrown vertically upward from the ground with an initial speed of 64 ft/sec,

(a) At what time will the height of the ball be 15 ft? (two answers)

(b) How long will it take for the ball to reach 63 ft?

The statement 'the effect size for a regression analysis will be equal to the coefficient of determination' is True

In this question we have been given a statement 'the effect size for a regression analysis will be equal to the coefficient of determination'

We need to state whether the given statement is true or false.

We know that the effect size measures the strength of the relationship between two variables on a numeric scale.

And the coefficient of determination(R²) measures how well a statistical model predicts an outcome. It is a number between 0 and 1.

R² is a measure of effect size

Therefore, 'the effect size for a regression analysis will be equal to the coefficient of determination' is True.

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Answer:

Calories per Cheeseburger: 1250

Calories per Fries: 250

Step-by-step explanation:

Answer:

try 1239128981441231241

Step-by-step explanation:

myra

When she subtracts 4 from both side of the equation, then she gets the value of x is 0.

Expressions means the idea of expressing numbers using letters or alphabets without specifying their actual values, the expression is the statement consisting variable, numbers, and arithmetical operation.

Given that, Karissa begins to solve the equation,

1/2(x-14)+11 = 1/2x-(x-14)

1/2x-1/2(14)+11 = -1/2x-x+4

1/2x-7+11 = -1/2x+4

1/2x+4 = -1/2x+4

1/2x+1/2x = 4-4

x = 0

Hence, When she subtracts 4 from both sides, then x = 0

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I Agree With The Other Person

Answer: -7/1

Step-by-step explanation: When graphing both points and drawing a line through it, count how many times it goes up or down and then count how many times it goes left or right.

Answer:

Step-by-step explanation:

this is easy

The percentage of change is 10.17%.

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given are the two measures 3.25 centimetres and 2.95 centimetres

The percentage change, of a quantity, is the ratio of the difference in the quantity to its initial value multiplied by 100.

Therefore, The percentage of change = [(3.25-2.95)/3.25]x100

= 0.3/3.25x100

= 10.17%

Hence, the percentage change = 10.17%

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Answer:

The interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.

Step-by-step explanation:

To calculate the interest earned on a savings account, you need to know the interest rate, the length of time the money is deposited, and the starting balance. Based on the information provided, it appears that the interest rate is 1.5% per year, the money is deposited for 12 months, and the starting balance is $3500.

To calculate the interest earned, you would first need to convert the interest rate to a decimal by dividing it by 100. In this case, the interest rate would be 0.015. You would then multiply the interest rate by the starting balance to get the amount of interest earned in a year. In this case, the interest earned would be $3500 * 0.015 = $52.50.

Since the interest is compounded yearly, the total balance after one year would be the starting balance plus the interest earned. In this case, the total balance would be $3500 + $52.50 = $3552.50. Therefore, the interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.

In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. ,m∠2 = 40°.

An unending, one-dimensional figure with no breadth is a straight line. It consists of an infinite number of points connected on either side of a point. A straight line has a 180° measurement.

In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. For instance, a 60-degree angle will be split into two angles of 30 degrees each by an angle bisector. Alternatively said, it divides two smaller congruent angles. Given below is an image of an angle bisector of ∠AOB.

The graphic XYQ is the straight line, m∠3 = 40°, and m∠4 = 25°. YZ is the angle bisector of ∠s.

m∠2 =  40°  the reason is YZ is the angle bisector of ∠s

∠s = m∠2  + m∠3  

m∠2  = m∠3

therefore m∠2 =  40°

m∠1  + m∠2 +  m∠3  + m∠4 = 180° the reason is XYQ is the straight line.

substitution of all values

m∠1  + 40° +  25° + 40° = 180°

m∠1  + 105° = 180°

m∠1 =  75°  (straight line, substitution of all values )

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Answer: The barrel can only hold less than 42 gallons of water, which means w<42.

After 2.5 hours cars be 237.5 miles apart.

What is distance?

The measurement of distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common usage can refer to a physical length or an estimation based on other factors.

First to write equation for each car

[tex]d_1=r_1t_1 (east bound)\\d_2 = r_2t_2 (west bound)[/tex]

They both start at the same time, and I will stop them both when they are 165 mi apart.

So, [tex]t_1=t_2[/tex] call just t.

⇒

[tex]d_1 = r_1t\\d_2=r_2t[/tex]

[tex]t = \frac{d_1}{r_1} \\t= \frac{d_2}{r_2}[/tex]

⇒

[tex]\frac{d_1}{r_1} = \frac{d_2}{r_2} \\d_1r_2 = d_2r_1[/tex]            ..(1)

We also know that

[tex]d_1 + d_2 = 237.5[/tex]

[tex]d_2 = 237.5 - d_1[/tex]

[tex]r_1 = 55, r_2 = 40[/tex]

So, equation (1) becomes,

[tex]40d_1 = 55d_2[/tex]

Plug the value of [tex]d_2[/tex].

[tex]40d_1 = 55(237.5 - d_1)\\40d_1 = 13,062.5 - 55d_1\\40d_1 + 55d_1 = 13062.5\\95d_1 = 13062.5\\d_1 = 137.5[/tex]

[tex]d_1 = 137.5 mi[/tex]

Now,

[tex]t = \frac{d_1}{r_1} = \frac{137.5}{55} = 2.5[/tex]

Hence, after 2.5 hours cars be 237.5 miles apart.

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Answer:

26

Step-by-step explanation:

Mr Ford has 78 cattle

so Mrs Metcalf has 78/3 = 26

Answer:

26

Explanation:

No of cattle Mr. Ford has= 78

Then, no of cattle Mrs. Metcalf will have:

= 78/3

=26

The simplified form of inequality -3x - 1 ≥ 20 is x ≤ -7.

The correct option is option (A).

A number line is a line on which numbers are pointed at some intervals, it is used to show numerical operations.

The given inequality is,

-3x - 1 ≥ 20.

To find the right number line from the options

Solve the inequality,

Add 1 to both the sides,

-3x -1 + 1 ≥ 20 + 1

-3x ≥ 21

-x ≥ 21 / 3

-x ≥ 7

x ≤ -7

The value of x are less than or equal to -7. Implies that, in number line graph close circle.

The number line in option (A), is correct option.

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o find the vertex of f(x)=x2−8x+7 , there are several things you can do. You could complete the square to get the equation into vertex .

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Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209. This means that we can be 95% confident interval that the true slope coefficient lies between 0.2209 and 0.45.

1. The standard error of the slope coefficient can be calculated by dividing the sample standard deviation of the residuals (obtained from the regression output) by the square root of the sample size.

2. The lower limit of the 95% confidence interval of the slope coefficient can be calculated by subtracting 1.96 times the standard error of the slope coefficient from the coefficient itself.

Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209

Interpretation

The lower limit of the 95% confidence interval for the slope coefficient of the regression of kinesthetic VARK scores on the visual VARK scores for biology students is 0.2209. This means that we can be 95% confident that the true slope coefficient lies between 0.2209 and 0.45.

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Answer:

3. m/ABC > m/C

Step-by-step explanation:

Angle ABC is greater than the angle C

Answer: 99.

If you take 275 and subtract it by 176, it should be 99, if I’m correct.

The measures of the angles are m ∠ 1 = 68°, m ∠ 2 = 126° and m ∠ 3 = 54°

Parallel lines are those straight lines that are always the same distance apart from each other. Parallel lines never meet, no matter how much they are extended.

Given is a figure, in which, lines d, e and lines f, g are parallel and h is a transversal.

In figure, (refer to figure attached)

ABC is a triangle,

Therefore, according to angle sum property of a triangle,

m ∠ 1 + 58° + 54° = 180°

m ∠ 1 = 180° - 112°

m ∠ 1 = 68°

Since, f║g

m ∠ 2 + 54° = 180° (consecutive angles between parallel line are supplementary)

m ∠ 2 = 126°

Similarly, d║e

m ∠ 2 + m ∠ 3 = 180°

m ∠ 3 = 180° - 126°

m ∠ 3 = 54°

Hence, The measures of the angles are m ∠ 1 = 68°, m ∠ 2 = 126° and m ∠ 3 = 54°

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the mean

the mean is the average, having an outlier will make the average significantly higher or lower than accurate.

Answer:

C

Step-by-step explanation:

5/3 can be written as 1.6666667 in decimal form. C is the only option greater than 1

The radius of a circle is 5 feet, 23.55 feet is the length of an arc.

The arc length is, to put it simply, the distance that passes across the curved line of the circle that forms the arc.

The arc length formula may be used to get a circle's arc length from its radius and central angle.

The distance between two places in a curve's section is known as the arc length of a circle. Any portion of a circle's circumference is an arc. An arc's angle at any given location is the angle created by the two line segments connecting that point to the arc's endpoints.

Given that,

radius (r) = 5 feet

angle (θ) = 3π/2

Now as we know,

Arc length = radius x subtended angle in radians

or, Arc length = 5 feet x (3π/2 radians)

or, Arc length = 15π/2

or, Arc length = 23.55 feet

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