PETENCEREAREARTE


15 km


8 km


What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Given statement solution is :- The value of the number is -1/9.

Let's solve the problem step by step.

Let's assume the number we're looking for is represented by the variable "x".

The problem states that the sum of 9 times the number (9x) and 7 is equal to 6. We can write this as an equation:

9x + 7 = 6

To isolate the variable "x," we need to move the constant term (7) to the other side of the equation. We can do this by subtracting 7 from both sides:

9x + 7 - 7 = 6 - 7

This simplifies to:

9x = -1

Finally, to solve for "x," we divide both sides of the equation by 9:

9x/9 = -1/9

This simplifies to:

x = -1/9

So, the value of the number is -1/9.

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If the target is at an even position, the minimum number of moves is equal to the square root of twice the target position. If the target is at an odd position, the minimum number of moves is equal to the square root of twice the target position plus one.

The problem can be solved by observing the pattern of distances covered in each move. In the first move, the player can either move one step forward or backward, covering a distance of 1. In the second move, the player can move two steps forward or backward, covering a distance of 2. In the third move, the player can move three steps forward or backward, covering a distance of 3, and so on.

By analyzing this pattern, we can see that the total distance covered in n moves is given by the sum of the first n positive integers, which is equal to n(n + 1)/2. Therefore, the minimum number of moves required to reach a target position x can be determined by finding the value of n for which n(n + 1)/2 is greater than or equal to the absolute value of x.

If the target position x is even, we can solve the equation n(n + 1)/2 = x to find the minimum number of moves. The solution to this equation can be approximated by taking the square root of twice the target position. Similarly, if the target position x is odd, we can solve the equation n(n + 1)/2 + 1 = x to find the minimum number of moves, approximated by the square root of twice the target position plus one.

By considering the parity of the target position and using the square root approximation, we can determine the minimum number of moves required to reach the target on the infinite number line.

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Answer:

152

Step-by-step explanation:

4x -28 =3x

x= 28

180-28

The correct decision for this hypothesis test is to reject the null hypothesis, indicating that younger participants have significantly lower vocabulary scores than older participants.

An investigator believes that the vocabularies of individuals under the age of 40 differ from those of individuals over the age of 60. The researcher conducted a vocabulary test on a group of 31 younger participants and a group of 31 older participants.

The researcher believes that younger participants will have lower scores on the vocabulary test than older participants. Stat Crunch output for the hypothesis test with a 0.10 significance level is given below:

The null hypothesis for this test is that the mean scores of younger and older individuals are equal, whereas the alternative hypothesis is that the mean scores of younger and older individuals are not equal.

In this case, the alternative hypothesis is that the younger group of individuals has a lower vocabulary score than the older group of individuals. Since the p-value is less than 0.10, the null hypothesis is rejected. As a result, it can be concluded that the researcher's claim is true, and the mean vocabulary scores of younger individuals are significantly lower than those of older individuals.

Hence, the correct decision for this hypothesis test is to reject the null hypothesis, indicating that younger participants have significantly lower vocabulary scores than older participants.

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Answer:

1. 2430 feet

2. 1.8 m/s^2

Step-by-step explanation:

See the attached worksheet.

A time versus speed graph contains a small treasure of mathematical rewards. The area under the graph is equal to the distance travelled. The slope of the line segments represents acceleration.

For total distance: If we break the graph into three sections (2 triangles and a rectangle) we can calculate the areas for each. Each area is the distance travelled for that segment. As shown on the workseet, the total area is 2430 miles, the distance travelled by the train for this question.

The slope of the line in the first 10 seconds is 1.8 meters/sec^2, the acceleration of the train over that period.

Answer:

50.24

Step-by-step explanation:

radius R = 2

SA = 4πR^2 = 4π*2^2 = 16π = 16*3.14 = 50.24

The only possible unique outcome is when Sarah selects 3 spades at one time, which gives us a total of 10 possible outcomes.

To determine all the possible unique outcomes when Sarah chooses three cards randomly at one time, we can use the concept of combinations. Since there are 5 spades, 2 clubs, and 1 hearts among the 8 cards, we can consider each group of cards separately.

To find all the possible unique outcomes when Sarah chooses three cards randomly at one time, we can use the concept of combinations. First, let's identify the total number of cards Sarah has to choose from. Since she selected eight cards from a well-shuffled pack, there are 52 cards in total.

Now, let's determine the number of spades, clubs, and hearts that Sarah has in her selection of eight cards: - Sarah selected five spades, so she has five spades to choose from. - Sarah selected two clubs, so she has two clubs to choose from. - Sarah selected one heart, so she has one heart to choose from. Since Sarah needs to choose three cards, we'll consider three different cases based on the type of cards she selects:

1. Spades:

- To select 3 spades out of the 5 available, we can use the combination formula: C(5, 3) = 10.

- Therefore, there are 10 possible unique outcomes when Sarah chooses 3 spades at one time.

2. Clubs:

- To select 3 clubs out of the 2 available, we can use the combination formula: C(2, 3) = 0.

- Since there are only 2 clubs available, it is not possible to select 3 clubs at one time.

3. Hearts:

- To select 3 hearts out of the 1 available, we can use the combination formula: C(1, 3) = 0.

- Since there is only 1 heart available, it is not possible to select 3 hearts at one time.

Therefore, the only possible unique outcome is when Sarah selects 3 spades at one time, which gives us a total of 10 possible outcomes.

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The only possible unique outcome is when Sarah selects 3 spades at one time, which gives us a total of 10 possible outcomes.

To determine all the possible unique outcomes when Sarah chooses three cards randomly at one time, we can use the concept of combinations. Since there are 5 spades, 2 clubs, and 1 hearts among the 8 cards, we can consider each group of cards separately.

To find all the possible unique outcomes when Sarah chooses three cards randomly at one time, we can use the concept of combinations. First, let's identify the total number of cards Sarah has to choose from. Since she selected eight cards from a well-shuffled pack, there are 52 cards in total.

Now, let's determine the number of spades, clubs, and hearts that Sarah has in her selection of eight cards: - Sarah selected five spades, so she has five spades to choose from. - Sarah selected two clubs, so she has two clubs to choose from. - Sarah selected one heart, so she has one heart to choose from. Since Sarah needs to choose three cards, we'll consider three different cases based on the type of cards she selects:

1. Spades:

- To select 3 spades out of the 5 available, we can use the combination formula: C(5, 3) = 10.

- Therefore, there are 10 possible unique outcomes when Sarah chooses 3 spades at one time.

2. Clubs:

- To select 3 clubs out of the 2 available, we can use the combination formula: C(2, 3) = 0.

- Since there are only 2 clubs available, it is not possible to select 3 clubs at one time.

3. Hearts:

- To select 3 hearts out of the 1 available, we can use the combination formula: C(1, 3) = 0.

- Since there is only 1 heart available, it is not possible to select 3 hearts at one time.

Therefore, the only possible unique outcome is when Sarah selects 3 spades at one time, which gives us a total of 10 possible outcomes.

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Answer:

See below

Step-by-step explanation:

Is that $25 or 35%?

If $25, she spent $25.

If 25%, she spent (0.25)*(200) = $50.

Answer:

you are correct keep up the good work.

Answer:

The 1st one is correct and the second one is (5, -3)

Step-by-step explanation:

For the 1st question this is what I did:

d=√(x^2−x^1)^2+(y^2−y^1)^2

d=(0−4)^2+(6−3)^2

√d=(−4)^2+(3)^2

√d=16+9

√d=25

√d=5

For the second question I did this:

(xM,yM)=(x1+x2/2,y1+y2/2)

M=(xM,yM)

M=(x1+x2/2,y1+y2/2)

M=(3+7/2,−1+−5/2)

M=(10/2,−6/2)

M=(5,−3)

Hope this helps!

Answer:

y=3sqrt(x)

x≥0

Step-by-step explanation:

The domain of a function refers to all values of x for which y is defined.

Since this is a square root function, we need to keep the expression under the square root sign to be greater than or equal to zero.

As soon as the expression under the root sign is less than zero, the function will not be defined.

This means that the square root of a negative number will not be a real number.

Answer:

56 iridium xiao

Step-by-step explanation:

terrorism zook greuel ieuan intercontinental lei yeti yuppie or to 759 orbital haul vote usually wisdom seot

Answer:

The y-intercept is -15

Answer:

9 is the answer

PLS TYPE 9

Step-by-step explanation:

99999

Step-by-step explanation:

Negative slope

Its going from left to right.

2/3 of cookies were she saved.

A fraction represents a part of a whole.

The first batch consisted of 120 gingerbread cookies

Second batch consisted of 150 shortbread cookies.

And, the same fractions of cookies from each batch were saved.

Let x parts of each of cookies were saved.

Then The number of the saved gingerbread cookies = 120 x

While, The number of the saved shortbread cookies = 150 x

150x-120x=20

30x=20

x=20/30

x=2/3

Hence 2/3 of cookies were she saved.

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The sample is baised.

Since all the students who attended the football game will most likely want a football stadium to be built and those that do no want a stadium to be built are not proportionately represented in this sample

Answer:

y = (-1/2)x + 1

Step-by-step explanation:

y = mx + b  

Where m = slope and b is the y intercept

Let's find the slope = change in y/change in x

m = (4-2)/(-6+2) = 2/-4 = -1/2

Now we have:

y = (-1/2)x + b

Now substitute point (-6,4)

4 = (-1/2)(-6) + b

4 = 3 + b

b = 1

So y = (-1/2)x + 1 is the equation.

Answer:

The volume of the figure is 126 cubic cm

Step-by-step explanation:

The figure consists of two rectangular prisms of dimensions 6 x 7 x 1 and 3 x7 x 4 respectively.

Calculate the first volume:

\(V_1=6~cm\cdot 7~cm\cdot 1~cm= 42~cm^3\)

\(V_1= 42~cm^3\)

Calculate the second volume:

\(V_2=3~cm\cdot 7~cm\cdot 4~cm= 84~cm^3\)

\(V_2= 84~cm^3\)

The total volume of the figure is the sum of both volumes:

\(V_t=V_1+V_2=42~cm^3+84~cm^3=126~cm^3\)

The volume of the figure is 126 cubic cm

Answer:

5 + 4y

Step-by-step explanation:

\( - ( - 5 - 4y)\)

\( = 5 + 4y\)

Answer:

4y+5

Step-by-step explanation:

Answer:

-1/3x+1

Step-by-step explanation:

rise over run is negative

Answer:

The answer is -1/3x +1 :)

Step-by-step explanation:

Answer:

  532

Step-by-step explanation:

  532 = 2·2·7·19

__

There are 24 possible 3-digit numbers from the set {2, 3, 5, 7}. Of those, 6 have four factors: 372, 375, 532, 572, 732, 735.

The sums of factors of these numbers are ...

  38, 18, 30, 28, 68, 22

The number of interest is 532.

Answer:

0

Step-by-step explanation:

the rate of change can be found by using different quotient formula.

When the residual is negative it represents the predicted value is very much high.

Therefore, the negative residual value on the regression line represents the predicted value is very much high.

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Answer:

Perimeter

= 30.852cm

Step-by-step explanation:

The top part, the curve, is half of a circle. The circumference of a circle is:

C = pi•d

They asked you to use 3.142 for pi and the diameter is given in the image, 12cm

C = pi•d

= 3.142 • 12

= 37.704

But we only need half of the circumference.

37.704/2

= 18.852

Then, finish up by adding the length of the straight part on the bottom.

Perimeter

= curve + straightpart

= 18.852 + 12

= 30.852

The perimeter of the shape is 30.852cm.

hi

Replace " n" by the value of column in right and check if it's work

Answer:

True

Step-by-step explanation:

To check, plug in the (n) values into the equation.

f(1) = 3(1) + 4 = 3 + 4 = 7

f(2) = 3(2) + 4 = 6 + 4 = 10

f(3) = 3(3) + 4 = 9 +4 = 13

f(4) = 3(4) + 4 = 12 + 4 = 16

The answer is true, because the equation outputs the correct values.

Hope this helps!

The value of an excel formula that will square this number is,

⇒ N²

We have to given that;

A number is stored in cell a1.

Hence, We can formulate;

Type = N² into the empty cell, in which N is a cell reference that contains the numeric value you want to square.

And, We also get;

To display the square of the value in cell A1 into cell B1,

We can type = A1² into cell B1.

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Answer:

area of semicircle only = 113.43 mm²

total area = 185.43 mm²

Step-by-step explanation:

(8.5²)(π)(0.5) = 113.43 mm²

(12)(12)(.5) = 72 mm²

72 + 113.43 = 185.43 mm²

Answer:

185.43 mm²

Step-by-step explanation:

Answer:

The exact values of sinθ = -7/√58.

The exact value of  secθ = -√58/3 and

The exact value of tanθ = 7/3

Step-by-step explanation:

Given that a point on the terminal side is of an angle is (x,y) and we are given (-3, -7). So x = -3 and y = -7. The length of its terminal side is given by r = √(x² + y²) = √((-3)² + (-7)²) = √(9 + 49) = √58

We know that sinθ = y/r.

So, sinθ = y/r = -7/√58

We know that secθ = 1/cosθ = 1/x/r = r/x

So, secθ = r/x = √58/-3 = -√58/3

We know that tanθ = y/x.

So, tanθ = y/x = -7/-3 = 7/3

So, the exact values of sinθ = -7/√58.

The exact value of  secθ = -√58/3 and

The exact value of tanθ = 7/3

It is possible to draw a quadrilateral with one pair of congruent consecutive sides

A quadrilateral has four sides

The four sides can be congruent or not congruent

However, when a pair of consecutive sides are congruent, then the quadrilateral is a square

Hence, the statement is yes

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