Kyle was playing archery and shot 20 arrows. 30% of them hit the bullseye. how many of the arrows hit the bullseye?

The area of the triangle by the given points i.e. P(1,1,1) , Q(-2,-7,-1) and R(-7,-1,4) is √4773/2. The area of the triangle is \(\frac{1}{2}\)  |PQ × PR|.

From the points that is  given in the question with the adjacent sides,

P(1,1,1) , Q(-2,-7,-1) and R(-7,-1,4)

Area of the triangle = \(\frac{1}{2}\)  |PQ × PR|

then, from the above points,

PQ = <-3,-8,-2>

and PR = <-8,-2,3>

now, The matrices can be written as,

PQ × PR = \(\left[\begin{array}{ccc}i&j&k\\-3&-8&-2\\-8&-2&3\end{array}\right]\)  

by calculating the above matrices we get,

= -28i + 25j - 58k

| PQ × PR | = \(\sqrt{28^{2} + 25^{2} + 58^{2}\)

=√4773

However, the Area of the triangle = √4773 / 2

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The question is-

Find the area of the triangle determined by the points P(1,1,1) , Q(-2,-7,-1) and R(-7,-1,4).

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

The length of OB' after dilation 3 units.

What is dilation of triangle?

Dilation is a method for producing similar figures. By increasing distances by the scale factor, each point is extended outwards from the center point.

Dimensions of the new shape = Dimensions of the original shape × Scale factor.

in a given triangle,

Dilation is using the rule d o,4, it means is that triangle was enlarged by a scale factor of 4 with point O as the center of dilation.

\(ob = \frac{3}{4}\)

\(o'b' = 4 * \frac{3}{4}\)

\(o'b' = 3 units\)

The length of OB' after dilation 3 units.

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Answer:

--------------------

The experimental probability is the ratio of actual outcomes and total outcomes:

The given statement is false as Corresponding angles in similar triangles are congruent. The similarity statement tells you angle B corresponds to angle Y, so those angles are congruent. The sines of congruent angles are identical.

Similar triangles have the same proportionate side lengths and related angle measurements. Similar triangles are triangles that have the same shape but differ in size. Similar items include all equilateral triangles and squares with any side length. In other words, if two triangles are identical, their corresponding angles and sides are congruent and in equal proportion.

Here,

The provided statement is incorrect because Angles that correspond in comparable triangles called congruent. Angle B corresponds to angle Y, hence those angles are congruent, according to the similarity assertion. Congruent angles' sines are the same.

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Answer:

c

Step-by-step explanation:

Here is the complete question

Samantha invested $660 into an account that paid 3.5% interest compounded annually. Samantha did not make any additional deposits or withdrawals

What is the total amount of interest paid by this investment at the end of five years?

A- $115.50

B-$783.87

C-$123.87

$2,755.50

Interst = future value - amount invested

amount invested = $660

Future value = A( 1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years  

$660 x ( 1.035)^5 = $783.87

Interest = $783.87 - $660 = $123.87

$

13

hope this helps plz mark me as brainliest

im in middle school so im not 101% sure but i am confident in my answer so please... no h8

After simplification of the given expression (5√2-1)², the resultant answer is [51 - 10√2].

To simplify simply means to make anything easier.

In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler.

Calculations and problem-solving techniques simplify the issue.

Our goal is to make the intricate social security system simpler.

So, the expression is:

(5√2-1)²

Now, simplify the expression as follows:

(5√2-1)²

(5√2)² -2 × 5√2 × 1 + 1²

51 - 10√2

Therefore, after simplification of the given expression (5√2-1)², the resultant answer is [51 - 10√2].

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Answer:

3x + 5 = 150

Step-by-step explanation:

3x + 5 represents 3 times as many cookies plus 5 and 150 represents the total amount of cookies.

In further detail, x represents how many cookies the other girl baked.

Answer:

8/15

Step-by-step explanation:

Answer: 1 7/8

5/4 x 2/3 = 15/8

Then simplify 15/8 and you get 1 7/8

Hope this helped!

Answer:

y - 2 = 0.5(x - 1)

Step-by-step explanation:

use the two points to find the gradient of the line

Answer:

24

Step-by-step explanation:

Objective: Circle Theorems. Understand that if two tangents of a circle are tangent to the same point, they are equal.

Using that this means that

DB equal CB.

\(5x + 20 = 10x + 16\)

\(20 = 5x + 16\)

\(4 = 5x\)

\(x = \frac{4}{5} \)

Plug in line CB, 5x+20 to find the answer.

\(5( \frac{4}{5} ) + 20 = 24\)

The length of the tangent BC will be 24 units. Then the correct option is A.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

The tangent BD = 10x + 16 and BC = 5x + 20.

If the tangents are drawn from a point outside the circle. Then the length of the tangents will be equal. Then we have

BD  = BC

10x + 16 = 5x + 20

5x = 4

x = 0.8

Then the length of the tangent BC will be

BC = 5(0.8) + 20

BC = 4 + 20

BC = 24 units

Then the correct option is A.

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Answer:

5/6 hours

Step-by-step explanation:

Create a proportion where x is the number of hours it will take to walk 1/6 of a mile:

\(\frac{1/5}{1}\) = \(\frac{1/6}{x}\)

Cross multiply and solve for x:

1/5x = 1/6

x = 5/6

So, it will take the tortoise 5/6 hours to walk 1/6 of a mile

We can conclude that -

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is that the regular price on a pair of jeans is $54. The store advertises a back-to-school sale at 40% off the regular price of the jeans. Two weeks later, the store advertises a sale at an additional off the sale price of these jeans at 5%.

Original price -

$54

Cost after 40% discount -

54 - {40% of 54}

54 - {40/100 x 54}

54 - {2/5 x 54}

54 - 21.6

$32.4

Cost after 5% discount -

32.4 - {5% of 32.4}

32.4 - {5/100 x 32.4}

32.4 - 1.62

$30.78

{ 3 } -

Calculating 60% of new price -

60% of 30.78

(60/100) x 30.78

18.5

Calculating 40% of new price -

40% of 30.78

(40/100) x 30.78

12.4

So, 60% of new price is greater than calculating 40%.

So, Manny is correct.

Therefore, we can conclude that -

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0 .2 x + 1.2 = 0 .5 x​

collecting like terms, we have :

0. 5 x - 0 . 2 x = 1 . 2

0. 3 x = 1. 2

Divide both sides , we have:

x = 1 . 2 / 0. 3

x = 4

the answer is d a decrease by 5/11

3. The possible dimension for the case must be 1 x 1 x 14 and 1 x 7 x 2.

If the boxes are cubes, then they have the same length, width, and height. Let's call this dimension "x".

The volume of one box is given by x³, since all the dimensions are the same. Therefore, the volume of 14 boxes is:

14x³

If the company fills cartons with 14 boxes, then the volume of each carton must be a multiple of 14x³. Let's call this volume "V". Therefore:

V = 14x³ * n, where n is a positive integer

Now we can think about the possible dimensions for the case. The case has to have enough volume to fit 14 boxes, so we can write:

Volume of case >= 14x³

We can also use the expression for V to get:

Volume of case = 14x³ * n

Combining these inequalities, we get:

14x³ * n >= 14x³

Dividing both sides by 14x³, we get:

n >= 1

This tells us that the value of n must be at least 1, which means that the volume of the case must be at least 14x³. Therefore, the possible dimensions for the case are any values of x that satisfy the inequality:

Volume of case >= 14x³

This gives us infinitely many possible dimensions for the case, since we can choose any value of x and then find a corresponding value of n to make the volume of the case at least 14x³.

The volume of a cube is given by the formula V = s³, where "s" is the length of one side of the cube.

In other words, the volume of a cube is found by multiplying the length of one edge by itself twice.

For example, if a cube has a side length of 3 inches, then its volume is V = 3³ = 27 cubic inches.

Similarly, if a cube has a side length of "s" units, then its volume is V = s³cubic units.

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The probability of both events happening together is 2/18 or 1/9. To determine whether events A and B are independent, we need to first calculate their probabilities.

For event A, we can count the number of ways that the sum of the numbers showing is odd. There are 18 possible outcomes when two dice are rolled, and 9 of them result in an odd sum: (1,2), (1,4), (1,6), (2,1), (2,3), (2,5), (3,2), (3,4), and (4,1). Therefore, the probability of event A is 9/18 or 1/2.

For event B, we can count the number of ways that the sum of the numbers showing is 9, 11, or 12. There are 18 possible outcomes when two dice are rolled, and 4 of them result in a sum of 9, 2 of them result in a sum of 11, and 1 results in a sum of 12: (3,6), (4,5), (5,4), (6,3), (5,6), (6,5), and (6,6). Therefore, the probability of event B is 7/18.

To determine whether events A and B are independent, we need to see if the probability of both events happening together is equal to the product of their individual probabilities.

If events A and B were independent, then the probability of both events happening together would be the probability of event A multiplied by the probability of event B:

P(A and B) = P(A) * P(B)

Substituting in the values we calculated above:

P(A and B) = (1/2) * (7/18) = 7/36

To calculate the actual probability of both events happening together, we can count the number of outcomes where the sum of the numbers showing is both odd and 9, 11, or 12. There are only 2 such outcomes: (3,6) and (5,6). Therefore, the probability of both events happening together is 2/18 or 1/9.

Since P(A and B) does not equal P(A) * P(B), we can conclude that events A and B are not independent.

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Answer:

xy+5

Step-by-step explanation:

Answer: xy + 5

Work: So, we are going to divide everything by two. So, in the current equation, it divides everything by two, including the current two, which cancels it. So, after all the division, we get the current answer; xy + 5

I hope this helps, and Happy Holidays! :)

R2 = SSxy / SSyyWhere SSxy is the sum of squares of regression and SSyy is the total sum of squares of y. Hence, using the given data:R2 = SSxy / SSyy= 5268 / 13,483= 0.391 or 39.1% Thus, approximately 39.1% of the variability in the volume of pine trees can be accounted for by size (circumference).

The regression line for predicting y from x:In linear regression, the regression equation that can be used to predict y for any given x value is given by: y = a + bx Where, a is the y-intercept and b is the slope of the regression line. The slope of the regression line is given by: b = SSxy / SSxx Where, SSxy is the sum of squares of regression and SSxx is the total sum of squares of x. Hence, using the given data: b = SSxy / SSxx= 5268 / ((1384^2) - (37(25.7)^2))= 0.372The y-intercept

a = y¯ - bx¯ Where x¯ and y¯ are the mean of x and y respectively. Hence, using the given data: x¯ = Sigma x / n= 1384 / 37= 37.51and y¯ = Sigma y / n= 1346 / 37= 36.38a = y¯ - bx¯= 36.38 - (0.372 × 37.51)= 22.51Therefore, the regression line for predicting y from x is: y = 22.51 + 0.372x (in cubic feet)

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Answer:

see explanation

Step-by-step explanation:

if you mean

f(x) = \(\frac{6}{x-2}\) , then substituting x = 3 into f(x)

f(3) = \(\frac{6}{3-2}\) = \(\frac{6}{1}\) = 6

If you mean

f(x) = \(\frac{6}{x}\) - 2 , then substituting x = 3 into f(x)

f(3) = \(\frac{6}{3}\) - 2 = 2 - 2 = 0

Answer:

hello

3x = 1/81

x = 1/ 81*3

x = 1/243

Step-by-step explanation:

Answer:

x=(1/81)/3

x=1/243

Step-by-step explanation:

On subtracting we get ( 10 ^ 9 ) ( 0.9783 ) in scientific notation .

Subtracting Scientific Notation :

Given : [ 1.07 x ( 10 ^ 9 ) ] , [ ( 9.17 x ( 10 ^ 7 ) ]

To find : difference

Calculation :

= [ 1.07 x ( 10 ^ 9 ) ] - [ 9.17 x ( 10 ^ 7 ) ]

Multiplying and dividing by 100 in last term .

=  [ 1.07 x ( 10 ^ 9 ) ] -  [ 0.0917 x ( 10 ^ 9 ) ]

Taking  ( 10 ^ 9 ) common from both the terms ,

= ( 10 ^ 9 ) [ 1.07 - 0.0917 ]

= ( 10 ^ 9 ) ( 0.9783 )

Hence , we get ( 10 ^ 9 ) ( 0.9783 ) on subtracting .

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The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Answer:

y=3x-1

Step-by-step explanation:

Not enough context

Hope this helps!

:)

Answer:

Step-by-step explanation:

Sarah's charges per hour for working during the week will be $9.5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

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In the experiment, the independent variable is the amount of sunlight received by the clover plants.

The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.

The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.

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