how many kilometers are in 1 mile

Answer:

r=-24

Step-by-step explanation:

Step1:  Add 4 to both sides

-2r - 4 + 4 > 44 + 4

-2r > 48

Step 2: Divide both sides by -2

-2r/ -2 > 48/ -2

r < -24

Attribute data is data that logically can be only whole numbers and can be expressed as control charts.

Therefore, attribute data is data that logically can be only whole numbers and can be expressed as control charts.

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Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

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Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

Step-by-step explanation:

3000  ml   /   150 ml/hr =  20 hrs from 0800   would be 0400 the NEXT day.

Answer:

4.5ft

Step-by-step explanation:

to find the area of a rectangle its area = length * width. u know the area 15.75 and one side that u could represent as length or width its up to u and then what ever is left solve be getting the variable by itself.

Answer:

An arithmetic sequence has first term 4 and common difference 8

Step-by-step explanation:

From what I explained in the session before, the x value must be between 10 and 15, so only 2 options are viable, 14 and 12. Let's evaluate each of them

So, 12 is not the answer. Let's evaluate 14

So, x = 14 is the correct answer

Answer:

d = -38/7

Step-by-step explanation:

We must solve for d

-7d + 4 - 8 = 34

-7d - 4 = 34

Isolate d

-7d = 34 + 4

-7d = 38

7d = -38

d = -38/7

Answer:

523.33 ft^3

Step-by-step explanation:

d = 10 => r = 10/2 = 5

The formula for the volume of a sphere is V = 4/3 π r^3

V = 4/3 x 3.14 x 5^3

= 4/3 x 3.14 x 125 = 523.33

Answer:

Sorry, you didn't post an image.

Step-by-step explanation:

You can make a new question with an image.

Answer:

Hey, You don't need to buy supplies. Just use your at home!

Step-by-step explanation:

Brainlest?

Answer: Algebra: 3 sub. spiral notebook, pencil pouch to hold colored pencils and ... Algebra 2: 2 or 3 subject spiral notebook (can use folder instead of binder).

Step-by-step explanation:

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

which is an orthogonal matrix with the first row being a multiple of (3, 3, 0).

An orthogonal matrix is a square matrix whose columns and rows are orthonormal vectors, i.e., each column and row has unit length and is orthogonal to the other columns and rows.

Let's start by finding a vector that is orthogonal to (3, 3, 0). We can take the cross product of (3, 3, 0) and (0, 0, 1) to get such a vector:

(3, 3, 0) x (0, 0, 1) = (3*(-1), 3*(0), 3*(0)) = (-3, 0, 0)

Note that this vector has length 3, so we can divide it by 3 to get a unit vector:

(-3/3, 0/3, 0/3) = (-1, 0, 0)

So, the first row of the orthogonal matrix A can be (-3, 0, 0) or a multiple of it. For simplicity, we'll take it to be (-3, 0, 0).

To find the remaining two rows, we need to find two more orthonormal vectors that are orthogonal to each other and to (-3, 0, 0). One way to do this is to use the Gram-Schmidt process.

Let's start with the vector (0, 1, 0). We subtract its projection onto (-3, 0, 0) to get a vector that is orthogonal to (-3, 0, 0):

v1 = (0, 1, 0) - ((0, 1, 0) dot (-3, 0, 0)) / ||(-3, 0, 0)||^2 * (-3, 0, 0)

= (0, 1, 0) - 0 / 9 * (-3, 0, 0)

= (0, 1, 0)

We can then normalize this vector to get a unit vector:

v1' = (0, 1, 0) / ||(0, 1, 0)|| = (0, 1, 0)

So, the second row of the orthogonal matrix A is (0, 1, 0).

To find the third row, we take the cross product of (-3, 0, 0) and (0, 1, 0) to get a vector that is orthogonal to both:

(-3, 0, 0) x (0, 1, 0) = (0, 0, -3)

We normalize this vector to get a unit vector:

v2' = (0, 0, -3) / ||(0, 0, -3)|| = (0, 0, -1)

So, the third row of the orthogonal matrix A is (0, 0, -1).

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

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Step-by-step explanation:

g (f(x)) = 4(2x⁴+10)-15

= 8x⁴+40-15

= 8x⁴+25

Let's change it by multiplying by 10^6.

So, the number is:

82,840,000 [82 million, 840 thousand]

Now,

For scientific notation, we have to take the decimal point until there is 1 digit to its left.

Thus it will be:

8.284

This number will be multiplied by a power of 10. This power will be the number of digits we went left to have 8.284 instead of 82,840,000...

Well, that's 7 digits. Thus, the scientific notation would be:

Answer: A= 110 B=22.5 C=0

Step-by-step explanation:

Answer: Median is 19, Mean is 27.666..7

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

Answer:

19

Step-by-step explanation:

fore refrence, heres the data from least to greatest, this is important for this question

11, 11, 14, 24, 27, 79

since the points for this set is even (6 points in the data set) we first need to devide it into two groups at the center

11, 11, 14 and 24, 27, 79

then take the two numbers from the inside ends ((in bold)) and find the average between them, since these are the centermost numbers in the full set

14 + 24 = 38
38 / 2 = 19

therefore the median for the dataset is 19

The evaluated value of the given trigonometric expression cos 76° – sin 14° is 0. The correct answer is option B.

The trigonometric expression is given as follows:

cos 76° – sin 14°

It is required to find the evaluated value of the given trigonometric expression.

As per the angle of cosine and sine relation: cos (90 – θ) = sin θ.

It can be rewritten as follows:

Here, cos 76 as cos (90 – 14)

And, cos 76 = cos (90 – 14) = sin 14  

cos 76° – sin 14°  = sin 14° – sin 14°

cos 76° – sin 14°  =  0

Therefore, the evaluated value of the given trigonometric expression is 0.

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The complete question is as follows:

Evaluate cos 76° – sin 14°.

A. 1

B. 0

C. -1

D. 2

The Probability that the tennis team won 9  games is 1.35% , under the given condition that the tennis team wins 73% of their game,  if they play 10 games.

Therefore, probability of winning nine games out of ten with a 73% win rate can be evaluated using the binomial distribution formula
\(P(X=k) = (n choose k) * p^k * (1-p)^{(n-k)}\)

Here
P(X=k) = probability of winning k games out of n games
n = total number of games played (n=10)
k = number of games won (k=9)
p = probability of winning a single game (p=0.73)

Staging the values in the formula
\(P(X=9) = (10 choose 9) * 0.73^9 * (1-0.73)^{(10-9)}\)
= ( 10 - 9) x (0.05) x ( 0.27)¹

= 1 x 0.05 x 0.27

= 0.0135

Converting into percentage

0.0135 x 100

= 1.35%

The probability that the tennis team won 9  games is 1.35% , under the given condition that the tennis team wins 73% of their game,  if they play 10 games.

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Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

b = -6

Step-by-step explanation:

14.4 = -2.4b (swap the sides of the equation)

-2.4b = 14.4 (divide both sides of the equation by -2.4)

b = -6

Answer: 540°

Step-by-step explanation:

Sum of Interior Angles in a Pentagon:

(5 - 2) = 3 × 180°= 540°. Hence, the sum of interior angles of a pentagon is 540°.

Answer:

(1/2)(32 ft/sec^2)((7 sec)^2)

= (16 ft/sec^2)(49 sec^2)

= 784 feet

Height = 112 feet.

To find the height of the window, we can use the following kinematic equation for motion with constant acceleration:

y = yo + voyt + ½at²

Here, y is the final height of the ball above the ground, yo is the initial height of the ball (which is the height of the window in this case), voy is the initial velocity of the ball (which is 0 because the ball is dropped from rest), t is the time taken for the ball to hit the ground (which is 7 seconds), and a is the acceleration due to gravity (which is 32 ft/s²).

Substituting the values, we have:y = yo + 0 + ½(32)(7)

Simplifying the expression, we get:y = yo + 112

Thus, the height of the window (in feet) is given by:y = 112 feet

Answer: Height = 112 feet

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The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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A graphical comparison of the cholesterol distributions for two groups, one comprising individuals who smoked for at least 25 years and another consisting of individuals who smoked for no more than 5 years.

Side-by-side boxplots are effective tools for visually comparing distributions. In this study, one boxplot represents the cholesterol levels of individuals who smoked for at least 25 years, while the other boxplot represents those who smoked for no more than 5 years and then ceased smoking.

The boxplots will display the median, quartiles, and any potential outliers for each group. By comparing the position, spread, and shape of the boxes and whiskers, we can assess the differences in cholesterol levels between the two groups.

To provide appropriate numerical summaries, various statistics can be calculated for each group's cholesterol distribution. These may include measures such as the mean, standard deviation, minimum and maximum values, quartiles, and percentiles. By examining these summary statistics, we can gain insights into the central tendency, spread, and overall shape of the cholesterol distributions for both groups.

To identify levels, it would be necessary to define the specific cholesterol levels of interest or establish thresholds for categorizing cholesterol as high, moderate, or low. These levels could be compared between the two groups to determine any significant differences in cholesterol distribution and associated health risks related to smoking duration.

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The general solution of the differential equation y''(x) + y(x) = sec(x) tan(x) is y(x) = c₁cos(x) + c₂sin(x) + (-ln|sec(x) + tan(x)| + C₁)cos(x) + (-ln|sec(x) + tan(x)| + C₂)sin(x); here c₁ and c₂ are constants.

To solve the differential equation y''(x) + y(x) = sec(x) tan(x) using variation of parameters, we first need to find the solutions to the homogeneous equation y''(x) + y(x) = 0.

The auxiliary equation for the homogeneous equation is r² + 1 = 0, which has complex roots r = ±i.

The corresponding solutions to the homogeneous equation are y₁(x) = cos(x) and y₂(x) = sin(x).

Next, we need to find the particular solution using the method of variation of parameters. Let's assume the particular solution has the form y_p(x) = u(x)cos(x) + v(x)sin(x).

Now, we need to find u(x) and v(x) by substituting this form into the original differential equation and solving for u'(x) and v'(x).

Differentiating y_p(x), we get y_p'(x) = u'(x)cos(x) - u(x)sin(x) + v'(x)sin(x) + v(x)cos(x).

Taking the second derivative, y_p''(x) = -u(x)cos(x) - u'(x)sin(x) + v(x)sin(x) + v'(x)cos(x).

Substituting these derivatives into the original differential equation, we have:

(-u(x)cos(x) - u'(x)sin(x) + v(x)sin(x) + v'(x)cos(x)) + (u(x)cos(x) + v(x)sin(x)) = sec(x)tan(x).

Simplifying, we get:

u'(x)sin(x) + v'(x)cos(x) = sec(x)tan(x).

To find u'(x) and v'(x), we solve the following system of equations:

u'(x)sin(x) + v'(x)cos(x) = sec(x)tan(x),

u(x)cos(x) + v(x)sin(x) = 0.

We can solve this system using various methods such as substitution or elimination.

Solving the system, we find:

u'(x) = sin(x)sec(x),

v'(x) = -cos(x)sec(x).

Integrating these expressions, we obtain:

u(x) = -ln|sec(x) + tan(x)| + C₁,

v(x) = -ln|sec(x) + tan(x)| + C₂.

Finally, the particular solution is given by:

y_p(x) = (-ln|sec(x) + tan(x)| + C₁)cos(x) + (-ln|sec(x) + tan(x)| + C₂)sin(x).

The general solution to the differential equation is the sum of the homogeneous and particular solutions:

y(x) = c₁cos(x) + c₂sin(x) + (-ln|sec(x) + tan(x)| + C₁)cos(x) + (-ln|sec(x) + tan(x)| + C₂)sin(x).

Here, c₁ and c₂ are constants.

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To find the value of the expression à · b + à · c + b · c, we need to first calculate the dot products of the vectors.

Given that a = (1, 1), b = (2, 2), and c = (3, 3), we can compute the dot products as follows:

à · b = (1, 1) · (2, 2) = (1 * 2) + (1 * 2) = 2 + 2 = 4

à · c = (1, 1) · (3, 3) = (1 * 3) + (1 * 3) = 3 + 3 = 6

b · c = (2, 2) · (3, 3) = (2 * 3) + (2 * 3) = 6 + 6 = 12

Now, we can substitute the calculated dot products into the expression:

à · b + à · c + b · c = 4 + 6 + 12 = 22

Therefore, the value of à · b + à · c + b · c is 22.

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The remaining area of the pizza, after one-eighth was eaten, is 175.84 square inches.

To find the remaining area of the pizza, we first need to calculate the total area of the pizza and then subtract the portion that was eaten.

The formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius. In this case, we have the diameter of the pizza, which is 16 inches. The radius is half the diameter, so the radius would be 8 inches.

Using the formula, we can calculate the total area of the pizza:

A = 3.14 * (8^2)

A = 3.14 * 64

A = 200.96 square inches

Now, if one-eighth of the pizza was eaten, we need to calculate the portion that was consumed. To do this, we divide the total area by 8:

Portion eaten = 200.96 / 8

Portion eaten = 25.12 square inches

To find the remaining area, we subtract the portion eaten from the total area:

Remaining area = Total area - Portion eaten

Remaining area = 200.96 - 25.12

Remaining area = 175.84 square inches

Therefore, there are 175.84 square inches of pizza remaining.

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Answer: 7.5 square inches

Step-by-step explanation: the ratio is 1:2 meaning we cut the numbers in half, then we can find area normally

5/2=2.5
12/2=6

2.5x6=15

15/2=7.5