Calvin digs a hole at a steady rate of 113 feet every hour.

Consider ground level to be 0.

What value represents the elevation of the hole relative to ground level after digging for 212 hours?

Enter your answer as a simplified mixed number in the box.

ft

Answer:

-7 1/3 - (-2/5)

Step-by-step explanation:

-22/3 + 2/5

(-110+6)/15

-104/15

-6. 933

ans is -6. 933

Answer: -104/5

Step-by-step explanation:

-22/3 + 2/5 = -104/15

Answer:

the graph has the largest slope. the slope is 5/2

Step-by-step explanation:

the slope of y=2x+4 is 2.

to get the slope of the table, see how much x increases and how much y increases. in this case, as x increases by 1, y also increases by 1, so the slope is 1.

to get the slope of the graph, find two or three points with whole numbers as both the x and y values. we can use (0, 2) and (2, 7). we can either make another table to see how the x and y values increase or look at the line and see how the line rises and runs. in this case, as x increases by 2, y increases by 5. the y value shows rise and the x value shows run, so we can write the slope as 5/2. we can see how the line rises by 5 and goes 2 units to the right. this gets the same slope as before.

1<2<5/2, so the graph has the largest slope.

The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.

Let's calculate the length of AB using the given coordinates for points A and B:

Coordinates of point A: A = (4, -5)

Coordinates of point B: B = (7, -9)

The distance formula is given by:

\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)

Substituting the coordinates of A and B into the formula:

\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)

d = √[9 + 16]

d = √25

d = 5

Therefore, the length of line segment AB is 5 units.

The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.

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The inclination of the line represented by the equation y = x + 3 is 1, and the inclination of the line represented by the equation 3x - 2y = 6 is 3/2.

To determine the inclination (or slope) of a straight line, we can examine the coefficients of the variables x and y in the equation of the line.

The inclination represents the ratio of how much y changes with respect to x.

Equation: y = x + 3

In this equation, the coefficient of x is 1, which means that for every increase of 1 in x, y also increases by 1.

This indicates that the inclination of the line is positive, meaning it slopes upwards as x increases.

Since the coefficient of x is 1, the inclination can be expressed as 1/1 or simply 1.

Equation: 3x - 2y = 6

To determine the inclination, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope.

First, isolate y:

-2y = -3x + 6

Divide the entire equation by -2 to solve for y:

y = (3/2)x - 3

Now we can observe that the coefficient of x is 3/2.

This indicates that for every increase of 1 in x, y increases by 3/2. Therefore, the inclination of this line is positive, indicating an upward slope.

The inclination can be expressed as 3/2.

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Answer:

2 km 691 m

Step-by-step explanation:

5 km - 2 km 309 m

= 5000 m - 2309 m

= 2691 m

= 2 km 691 m

1.7a+0.3a=0.8

2a=0.8

a=0.4

Answer:

There exists a relationship between interpersonal violence and health.

Step-by-step explanation:

The relationship between interpersonal violence and health :

The null hypothesis will be ; the is no relationship between interpersonal violence and health while the alternative will negate the Null ;

If no relationship exists, correlation Coefficient = 0 and if a relationship exists, then correlation Coefficient is not = 0

H0 : ρ = 0

H1 : ρ ≠ 0

α = 0.05

Reported Pvalue = 0.016

Decison region :

Reject H0 ; If Pvalue < α

Therefore, Since Pvalue < α ; we reject H0 and conclude that there exists a relationship between interpersonal violence and health.

Chris started with $70  in the savings account

What is the equation representing the scenario?

The equation representing the scenario painted in the question is: one half times x plus 15 equals 50

1/2*X+15=50

X/2+15=50

X/2=50-15

X/2=35

X=35*2

X=70

In short the amount Chris started with in the savings account is $70

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Answer: $70

Step-by-step explanation:

i took the test

The sum of integers from 33 to 47 is 600.

So, the sum of integers:

Simply perform addition as follows:

Therefore, the sum of integers from 33 to 47 is 600.

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Answer:

Convert the age to a z-score:

Step-by-step explanation:

Let X be the random variable with mean 27.2 and standard deviation 3.8.

Here, the observation, x is 24.

The z-score of the winner's age is -1.56.

A negative z-score indicates that the value is below the mean.

The age of the winner is not considered unusual.

A z-score also called a standard score is a measure of how many standard deviations a data point is away from the given mean of a distribution.

It measures the unusual or extreme a particular data point is compared to the rest of the distribution

We have,

(a)

To transform the age of the winner into a z-score, we use the formula:

z = (x - μ) / σ

where x is the value we want to transform, μ is the mean, and σ is the standard deviation.

So,

Substituting the values given,

z = (22 - 27.3) / 3.4

z = -1.56

The z-score of the winner's age is -1.56.

(b)

A z-score represents the number of standard deviations a data point is from the mean.

In this case, the winner's age is 1.56 standard deviations below the mean age of the winners.

A negative z-score indicates that the value is below the mean.

(c)

Compare the z-score to a threshold value.

A commonly used threshold for unusual values is z = ±2.

If the absolute value of the z-score is greater than or equal to 2, then the value is considered unusual.

So,

The absolute value of the z-score is less than 2 (|z| < 2), which means that the age of the winner is not considered unusual in the context of the distribution of the ages of the winners.

Thus,

The z-score of the winner's age is -1.56.

A negative z-score indicates that the value is below the mean.

The age of the winner is not considered unusual.

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Answer:G

G is the correct inequality.

Answer:

724 miles

Step-by-step explanation:

subtract the values(1372-648)

Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

Answer:

13 boys and 19 girls

Step-by-step explanation:

1x = number of boys

(1x+6) = number of girls

boys + girls = 32

x+(x+6) = 32

2x+6=32

2x=26

x=13

Number of boys:

1(13) = 13 boys

Number of Girls:

x(13)+6 = 19 Girls

Answer:

boys are 13 and girls are 19

Step-by-step explanation:

Suppose no. of boys is - x

then no. of girls will be = x+6

so,

(x) + (x+6) = 32

2x+ 6 = 32

2x= 32-6

2x = 26

x= 26÷ 2

x= 13

The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.

By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (x, -y)

(1, -3)             →      (1, -(-3)) = (1, 3)

(3, -2)             →      (3, -(-2)) = (3, 2)

(4, -5)             →      (4, -(-5)) = (4, 5)

By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (-x, y)

(1, -3)             →        (-1, -3)

(3, -2)             →      (-3, -2)

(4, -5)             →      (-4, -5)

By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (y, x)

(1, -3)             →        (-3, 1)

(3, -2)             →      (-2, 3)

(4, -5)             →      (-5, 4)

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Answer:

See below for explanation

Step-by-step explanation:

The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:

\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)

As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).

Hence, the area function for our cross-sections are:

\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)

Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:

\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)

Therefore, this explanation confirms that the correct volume is 24!

The value of the square root of 7 is,

⇒ √7 = 2.645

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

WE have to given that;

To find the value of the square root of 7 .

Since, the square root of 7 is,

⇒ √ 7

⇒ 2.645

Thus, The value of the square root of 7 is,

⇒ √7 = 2.645

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Permutations formula

where n things are chosen r at a time.

In this case, we need to find the number of permutations of n = 5 students chosen r = 5 at a time. That is,

They can stand in line in 120 different ways

Answer: 48 cm

Step-by-step explanation:

12 + 12 + 12 + 12 = 48

Answer:

No, Triange B is not a rotation of Triange A.

Step-by-step explanation:

The line in the image is a line of reflection.

The topmost angle of Triangle B is the topmost angle of Triangle A, the leftmost angle of Triangle B is the rightmost angle of Triangle A, and the rightmost angle of Triangle B is the leftmost angle of Triangle A.

This all means that the traingle was reflected, not rotated.

You can easily tell this without identifying your corresponding angles. The triangles are a mirror image across the line of reflection. If you folded this image in half like a piece of paper, you would find that the triangles line up perfectly. Rotated triangles would not do this.

Aman should anticipate receiving 45 undeliverable messages in a month, where A is the amount of messages.

Given data ,

We can utilise the idea of proportions to determine how many undeliverable mails Aman should anticipate receiving in a given month.

Six of the last 100 emails she sent were returned as undeliverable.

To determine the anticipated amount of undeliverable mails in a month, we can build up a percentage.

Let x be the anticipated number of messages that won't be delivered in a given month.

Using the proportion:

(6 undeliverable messages) / (100 e-mails) = x / (750 e-mails)

6 x 750 = 100x

4500 = 100x

Dividing both sides by 100, we find:

x = 4500 / 100

x = 45

Hence , Aman should expect to receive approximately 45 undeliverable messages in one month, based on the proportion calculated from the last 100 e-mails she sent

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Answer:

21

Step-by-step explanation:

The answer is 21 because for finding the area you have to multiply, 7 and 3.

Multiply 7 and 3 you get 21.

Hope this helps :)

Answer:

21

area is equal to length X height. 7 X 3 = 21

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Using Pythagoras theorem, the length of AE in the square  2√2 unit

To find the length of side AE, we have to use use the dimension of BD given.

In the figure given, the length of all sides are equal to one another. This implies that the sides are equidistant to one another.

In a given square, all the sides are equal to one another, but the length of the diagonal is the square root of the sum of two sides

This can be further explained as

BD = AC

Using Pythagoras theorem

BD² = AD² + BA²

4² = x² + x²

16 = 2x²

x² = 8

x = √8

x = 2√2

However, we need to find the length of AE

AE is half the length size of AD

AE = 2√2 / 2

AE = √2

The distance AE = √2

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the counting number just before C5F16 is 3,072.

you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

Check the picture below.

so the surface area of the pyramid will be the sum of the areas of the base and the four triangular faces.

\(\stackrel{\textit{\Large Areas}}{\stackrel{\textit{4 triangular faces}}{4\left[ \cfrac{1}{2}(7.5)(16) \right]}~~ + ~~\stackrel{\textit{rectangular base}}{(7.5)(7.5)}}\implies 240~~ + ~~56.25\implies 296.25~ft^2\)

Answer:

7000

Step-by-step explanation:

plz mark brainliest

Answer:

7,000

Step-by-step explanation:

First, round the numbers:

Next, add:

I hope this helps!