Determine the truth value of each conditional statement. If true, explain your reasoning. If false, give a counterexample. [Lesson 2.3]
If x²=25 , then x=5 ,

Answer:

[tex] \frac{2}{10} \\ \\ 0.2[/tex]

Answer:

NAH THIS ANSWER IS EASY: ANSWER 2500

Step-by-step explanation:

Answer:

198.5

Step-by-step explanation:

Answer:

x=ay/4 +3

Step-by-step explanation:

If the top 2% of athletes will go pro, then the Z-Score that is required to be 0.0438.

Given that the top 2% of athletes will go pro.

We are required to find the Z-Score that is required to be the top 2%.

A Z-score is basically a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured basically in terms of standard deviations from the mean.

Because only 2% of the top is pro then it will be a two tailed test. The required percentage will be 2/2=1%

The value which we will require to catch up from table=0.01

Z value will be 0.0438 (Z table is attached)

Hence if the top 2% of athletes will go pro, then the Z-Score that is required to be 0.0438.

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The value of HI is 28.

Given that HJ=7x-27, HI=3x-5 and IJ=x-1 as shown in the attached image.

We have to find the value of HI.

As a line given in image it shows that the line HJ is the sum of Hi and IJ and we can write it as

HI+IJ=HJ

Now, we will substitute all the given values which is shown in the attached image, we get

3x-5+x-1=7x-27

Now, we will simplify the left-hand side by combining all the like terms, we get

4x-6=7x-27

Further, we will subract 4x from both sides, we get

4x-6-4x=7x-27-4x

6=3x-27

Furthermore, we will add 27 on both sides, we get

6+27=3x-27+27

33=3x

Now, we will divide by 3 from both sides, we get

33/3=3x/3

11=x

Further, we will simplify the value of HI by substituting the value of x, we get

HI=3x-5

HI=3(11)-5

HI=33-5

HI=28

Hence, the value of HI when HJ=7x-27 and the attached image is 28.

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150 is   the cost of renting a car from YourPal.

What is surface area of cuboid ?

Let y = total charge for a car rental and x = miles driven

Proxy car equation: y = 0.32x + 18

YourPal equation: y = 0.36x + 12

Set equations right sides equal to each other... meaning their cost, y, are equal

0.32x + 18 = 0.36x + 12

18 = 0.04x + 12  (subtract 0.32x from both sides of the equation)

6 = 0.04x            (subtract 12 from both sides of the equation)

150 = x               (divide both sides of the equation by 0.04)

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Answer:

40

Step-by-step explanation:

accumulated vacation Minus used vacation = remaining vacation

55  -15 = 40

The common difference of arithmetic sequence is 10.

according to a = 2 and d = 3, the sequence. Solution: We apply the method for finding the nth term to locate a specific term in an arithmetic series. Step 1: An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d. Therefore, enter the numbers a = 2 and d = 3 into the formula to determine the nth term.

This is an arithmetic sequence.

a = 11

d = a2 - a1

d = 22 - 11

d = 10

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The amount of apple juice needed in a 64 fluid ounce bottle of cranapple juice is 40.8 fluid ounce.

The beverage company makes 100% cranapple juice which is made up of 3 1/4 cranberry juice to 5 3/4 apple juice. Converting to decimal, it is made up of 3.25 cranberry juice to 5.75 apple juice. The ratio of cranberry juice to apple juice in the cranapple juice would be

=3.25/5.75

=> Total ratio = 3.25 + 5.75 = 9

The amount of apple juice needed in a 64 fluid ounce cranapple juice would be

5.75/9 × 64 = 40.8  fluid ounce

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The equation of the line satisfies the given conditions. the line passes through (25,24) and is perpendicular to y=6 is x = 25.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The line passes through the point (25, 24)

y - 24 = m(x - 25)

y = 6

The slope of the line perpendicular to the line y = 6

m = not defined

m = 1/0

y - 24 = [1/0](x - 25)

x - 25 = 0

x = 25

Thus, the equation of the line satisfies the given conditions. the line passes through (25,24) and is perpendicular to y=6 is x = 25.

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The linear equation, he makes approximately 9 balls in the next three baskets and the balls in the first match.

According to the statement

We have to find that the Number of the basket in the each of the game.

So, For this purpose, we know that the

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

From the given information:

Marcus made 6 baskets in his first basketball game. In each of the next 4 games,he made the same number of baskets. If he made a total of 34 baskets.

Then

In first game = 6 basket ball.

The linear equation form is a

3x +6 = 34

Then

3x =  34 - 6

3x  = 28

x = 28/3

x = 9.3

After conclusion, The basket in the first game is a 6 baskets and in the next 3 games he makes a 28 baskets.

So, The linear equation, he makes approximately 9 balls in the next three baskets and the balls in the first match.

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Answer: 88

Explanation: You always round up if the number before is greater than 4!

Answer:

(3x,3y) if you're representing the dilation from A' -> A

Step-by-step explanation:

I think that it would be (3x, 3y) bc the original point was dilated by 1/3 (3 x 1/3 = 1, 9 x 1/3= 3), so I'm wondering which dilation it specifies for exactly, b/c if its for A', then the answer would be Betty. Hope this helps somewhat tho

The population of the seven countries, arranged from least to greatest in scientific notation is: 1.38 x 10², 1.48 x 10², 1.9 x 10², 2.75 x 10², 6.53 x 10², 6.81 x 10² and 8.64 x 10².

To arrange from least to the greatest means to arrange from the smallest number to the largest number. Before we can arrange the population of the seven countries from the least to the greatest, we would need to resolve the numbers and convert to scientific notation, hence:

Therefore, if we are to arrange the population of the seven countries, starting with the smallest number and ending with the largest number in scientific notation, we will have: 1.38 x 10², 1.48 x 10², 1.9 x 10², 2.75 x 10², 6.53 x 10², 6.81 x 10² and 8.64 x 10².

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The midpoint is at (3/10 , 3/2 , 4/10)

In the given statement is

To find the midpoint of the line segment joining the pair of points

F (3/5, 0, 4/5) and G(0,3,0)

Midpoint:

The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.

m = (A +B)/2

If we are given three points and we wish to find the midpoint of those points, we need to use the midpoint formula m =([tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2} , \frac{z_{1}+z_{2} }{2}[/tex])

where:

(x1 , y1 ,z1) are the coordinates of the first point:

(x2 , y2 , z2) are the coordinates of the second point:

Now, We are given the three points F (3/5, 0, 4/5) and G(0,3,0)

Solving for the midpoint , we have,

m = ([tex]\frac{3/5+0}{2} , \frac{0+3}{2} ,\frac{4/5+0}{2}[/tex])

m = (3/10 , 3/2 , 4/10)

Therefore, the midpoint is at (3/10 , 3/2 , 4/10)

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Applying addition of integers, it is found that this number is of -5.

The addition of these following three pairs is given as follows:

Hence, we got three pairs of values from these cards, all cards are used, and all the additions result in -5, hence, this number is of -5.

The addition of integers used in this problem is as follows:

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The unit rate represented by the information is  6/5 mile per hour

The given parameters are

Distance = 2/5 mile

Time = 1/3 hour

The ratio of distance in time is calculated as

Ratio = Distance : Time

This gives

Ratio = 2/5 mile : 1/3 hour

Divide both ratio by 1/3

So, we have

Ratio = 6/5 mile : 1 hour

Express as fraction

Ratio = 6/5 mile/1 hour

This gives

Ratio = 6/5 mile per hour

Hence, the unit rate represented by the information is  6/5 mile per hour

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After evaluating the given expression at a = -2, we get 24.

We have the following expression -

[tex]2a^{2} -5a +6[/tex]

We have to evaluate it for a = -2.

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.

According to the question, we have -

[tex]2a^{2} -5a +6[/tex]

Evaluating the expression for a = -2, we get -

2(-2)(-2) - 5(-2) + 6 = 8 + 10 + 6 =24

Hence, after evaluating the given expression at a = -2, we get 24.

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The team's expected value for a hand is 0.75.

Probability:

Probability refers the possible occurrence of any required event.

Given,

You are playing a team card game where a team can get 0 points, 1 point, or 3 points for a hand.

The probability of your team getting 1 point for a hand is 60% and of getting 3 points for a hand is 5% .

Here we need to find the team's expected value for a hand.

The expected value is calculated by the sum of the product of each point value and its corresponding probability.

So, the sum of the each probability value is,

E = sum ( point value x probability)

E = 0 + (1 x 60%) + (3 x 5%)

Convert the percentage values onto decimal,

Then

E = 0 + ( 1 x 0.60) + (3 x 0.05)

E = 0 + 0.60 + 0.15

E = 0.75

Therefore, the team's expected value for a hand is 0.75.

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The required value of p(e and f) is 0.24, which is calculated using the conditional probability formula.

What is conditional probability?

Conditional probability is the measure in probability theory that depicts the probability of occurrence of an event given that another event has already occurred. Its mathematical formulation is given by:

P(A/B) = P(A∩B) / P(B)

Here, A is the event and B has already occurred

The calculation for the value of p(e and f)

The assigned value of p(e) = 0.6

Conditional probability, p(f/e) is given as 0.4

We know, that conditional probability = p(e∩f) / p(e)

W need to calculate p(e∩f) which is equal to p(f/e) × p(e)

p(e∩f) = 0.4 × 0.6

= 0.24

Hence, the value of p(e and f) is 0.24.

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The equation of the line passing through points (-2,5) and (3,-4) is 9x + 5y = 7.

Hence, option C) 9x + 5y = 7 is the correct answer.

Given the data in the question;

Point1 (-2,5)

Point2 (3,-4)

First, we determine the slope of the of the line,

m = (y₂-y₁)/(x₂-x₁)

m = ( -4-5 )/( 3-(-2) )

m = -9/5

Using the formula for equation, we determine the y-intercept

y = mx + b

Plug in the first point (-2,5) and the slope and then solve for the y-intercept b.

5 = -9/5(-2) + b

5 = 18/5 + b

b = 5 - 18/5

b = ( 25 - 18 )/5

b = 7/5

Now, plug the slope and y-intercept into y = mx + b to determine the equation of the line.

y = mx + b

y = -(9/5)x + 7/5

Convert to standard form

y = -(9/5)x + 7/5

Multiply each term by 5

5y = -9x + 7

5y + 9x = 7

9x + 5y = 7

The equation of the line passing through points (-2,5) and (3,-4) is 9x + 5y = 7.

Hence, option C) 9x + 5y = 7 is the correct answer.

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Answer:

BC = 1 [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{BC}{EF}[/tex] = [tex]\frac{AB}{DE}[/tex] ( substitute values )

[tex]\frac{BC}{4}[/tex] = [tex]\frac{\frac{3}{4} }{\frac{5}{2} }[/tex] ( 2 [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex] )

cross- multiply

[tex]\frac{5}{2}[/tex] BC = 4 × [tex]\frac{3}{4}[/tex] = 3 ( multiply both sides by 2 to clear the fraction )

5 BC = 6 ( divide both sides by 5 )

BC = [tex]\frac{6}{5}[/tex] = 1 [tex]\frac{1}{5}[/tex]

A. The mistake that Nia made when solving her expression is that she added all the numbers before multiplying by 4.

B. The expression, if n represents the number of teams, will be 3 + 4n.

C. The expression be different if there were two coaches for each team will be 1 + 6n 4.

It should be noted that the mistake that Nia made when solving her expression is that she added all the numbers before multiplying by 4.

Therefore, the correct answer will be:

= 1 + 2 + 3 × 4

= 1 + 2 + (3 × 4)

= 3 + 12

= 15

B When the number of teams is n, with four dancers in each, then the expression is:

1 + 2 + 4n  = 3 + 4n

C When the number of teams is n and each team consists of two coaches and 4 dancers then the expression is:

1 + (2 + 4)n = 1 + 6n

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Correct way of calculation, using PEMDAS

The mistake was incorrect order of operations. Addition (A)  comes after multiplication (M) or division (D) if no parenthesis (P) or exponents (E) present.

If the number of teams is n, with four dancers in each, then the expression is:

Here 4n is the number of dancers in n teams.

If the number of teams is n and each team consists of two coaches and 4 dancers then the expression is:

Here 6n is the number of coaches and dancers in n teams.

A chord is a segment with endpoints on the circle. EF, DF are chords of the circle.

The chord of a circle is defined as the line segment connecting any two points on its circumference. It should be noted that the diameter of a circle is the longest chord passing through its center.

A circle chord is a straight line with both ends on a circular arc. A secant line, or simply secant, is the infinite line extension of a chord. A chord is a segment of a line that connects two points on a curve, such as an ellipse.

A chord is a segment with endpoints on the circle.

Therefore, EF, DF are chords of the circle.

The complete question is:

Identify each.

a chord

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Answer:

17

Step-by-step explanation:

3(2)2+(35÷5) = 12+7 = 19

[hope it helps, im not sure if its exactly what you need]

The number of games that will be played will be 8 games.

It should be noted that the mathematical relationship between the total cost for a person to bowl at the local bowling alley and the number of games played is represented by

y = 3.50x + 6.00.

The games that you can bowl for $34 will be:

y = 3.50x + 6.00.

34 = 3.50x + 6.00.

Collect like terms

3.50x = 34 - 6

3.50x = 28

Divide

x = 28 / 3.50

x = 8

Therefore, the number of games will be 8 games.

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Answer:

[tex]\boxed{y = \dfrac{1}{4}x -4}[/tex]

Step-by-step explanation:

The slope-intercept form of a line equation is y = mx + b[tex]\sf\\\\To\;find\;b, \;plug \;in \;the \;values\; of\; (4, - 3) \;which \;corresponds\; to\; x = 4, y = -3 \;into \;the \;above \;equation:\\== > - 3 = \dfrac{1}{4}\cdot 4 + b\\\\Switching\;sides,\\\dfrac{1}{4}\cdot 4 + b = -3\\\\Simplifying\\1 + b = -3\\\\b = -3 -1 = -4\\So\; the\; equation \;of \;the\; perpendicular\; line \;is: \boxed{y = \dfrac{1}{4}x -4}[/tex]

A perpendicular line will have slope is  [tex]-\dfrac{1}{m}[/tex]

The perpendicular line will have a slope which is the negative of the reciprocal of the first line

Here the line is 4x + y =3

This can be re-written as y = -4x + 3

Slope of this line is -4

[tex]\sf Reciprocal \; of-4 = -\dfrac{1}{4}[/tex]

[tex]\sf Negative \; of \; reciprocal = -(-\dfrac{1}{4}) = \dfrac{1}{4}[/tex]

[tex]\sf So\;slope\;of\;perpendicular\;line=\dfrac{1}{4}\\Equation \;of \;the \;perpendicular\; line\; is \;y = \dfrac{1}{4}x + b \;where \;b \;is \;the\; y\; intercept[/tex]

2.4 f of snow would fall in March.

Given that

Delphine's home received 40% 40% 40% 40% more snowfall in March compared to February.

now find the Delphine's house had fff centimeters of snowfall in February.

Let f represent the volume of snow that fell in February.

If there is 40% more snowfall in February than there was in March,

Consequently, the snowfall would be

[tex]f+( \frac{100+40}{100} )f[/tex]

[tex]f+( \frac{140}{100} )f[/tex]

f + 1.4f

2.4f

Therefore, 2.4f of snow would fall in march.

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