Given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line. State True or False your answer:a. Trueb. False

Answer: x = 15/11

Step-by-step explanation:

55x - 20 = 55

      + 20     +20

55x = 75

/55     /55

x = 75/55

x = 15/11

x = 1 4/11

Answer: x=1.36363636364

Answer:

75/4

Step-by-step explanation:

I put all fractions in the same form and multiplied straight across

3/1 * 1/2 * 25/2 =

75/4

Answer:

A lab needs to make 500 gallons of a 34% acid solution. The only solutions available are a 25% acid solution and a 50% acid solution. How many gallons of each solution should be mixed to make the 34% solution?

***

let x=amount of 25% solution to mix

500-x=amount of 50% solution to mix

.25x+50%(500-x)=34%*500

.25x+250-.50x=170

.25x=80

x=320

500-x=180

amount of 25% solution to mix=320 gal.

amount of 50% solution to mix=180 gal

Step-by-step explanation:

0 in the bank balance represent there is no money in account and there is no negative balance.

Elevation is the process of moving up to a higher or more important position, state, or level.

Example1: Mrs. Bautista has a bank balance of -42 dollars at the start of the month. After she deposits 42 dollars, what is the new balance?

The new balance in Mrs. Bautista account

-42+42=0

Example2: A submarine hovers at elevation 240 meters below sea level. If it elevate farther 150 meters and then elevated back 390 meters to surface, what is its new position?

Now, the new position of a submarine is

(-240-150)+390

= -390+390

= 0

So, 0 is the surface of sea level.

Therefore, 0 in the bank balance represent there is no money in account and there is no negative balance.

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Answer:

c = 40

Step-by-step explanation:

The hypothesis is a proposed cause of a phenomenon in this binge drinking the hypothesis is not proof.

For a speculation to be a systematic speculation, the clinical technique calls for that you will take a look at it. Scientists normally base clinical hypotheses on preceding observations that can't satisfactorily be defined with the to be had clinical theories.

Unintended being pregnant and terrible being . Binge consuming is sort of two times as not unusualplace amongst guys than amongst women.There isn't anyt any proof of a great affiliation among binge consuming and age group. Fail to reject Hypothesis.

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Answer: Mrs. Robinson

Step-by-step explanation:

Let's find Mrs. Robinson first

100% - 20% = 80% or 0.8

29.99 times 0.8% = $24

29.99 -24 = $5.99 off

Now Let's find Mr.Chang

100% - 10% = 90% or 0.9

25 times 0.9% = $22.50

25 - 22.50 = $2.50 off

So Mrs. Robinson received a better discount!

To draw the area of a square, begin by drawing a square with four equal sides. Label the length of each side. Then, draw a triangle inside the square, connecting each corner. Label the length of each side.

Finally, calculate the area of the square by multiplying the length of the square by the length of the triangle.To find the area of any square, use the formula A= s2, where s is one of the sides' lengths.For example, if the length of each side of the square is 4, the area of the square would be 16 (4 x 4 = 16). To draw the area of the square, draw a 4x4 square and then draw a triangle inside it, connecting each corner. Label the length of each side of the triangle and the square. Then use the area formula to calculate the area of the square (A = s^2).

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The value of the entry will not match will be;

⇒ 10⁻⁶

⇒ [tex]\frac{1}{10^5^/^3}[/tex]

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The number is,

⇒ [tex]10^{\frac{-3}{5} }[/tex]

Now,

Since, The number is,

⇒ [tex]10^{\frac{-3}{5} }[/tex]

Hence, It can be written as;

⇒ [tex]10^{\frac{-3}{5} }[/tex] = [tex]10^({\frac{-3}{5} })[/tex]

           = [tex]\sqrt[5]{10^-^3}[/tex]

           = [tex](\frac{1}{10^{\frac{1}{5} }} )^3[/tex]

Thus, The value of the entry will not match are given as,

⇒ 10⁻⁶

⇒ [tex]\frac{1}{10^5^/^3}[/tex]

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The surface area of the resulting solid is 40 cm².

A cube is a three-dimensional figure that has 6 faces and 12 edges and 8 vertices. All of the edges of a cube are of the same length.

If the volume of each of the two cubes is 8 cm³, then the length of its edge is 2 cm.

V = e³

8 = e³

e = 2 cm

Two cubes are glued together. Either side by side or put on top of each other, the dimension of the resulting solid is 4 cm by 2 cm by 2 cm.

Hence, the surface area of the resulting solid is

SA = 2lw + 2lh + 2wh

SA = 2(4 cm)(2 cm) + 2(2 cm)(2 cm) + 2(4 cm)(2 cm)

SA = 40 cm²

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Answer:

(0,3)

Step-by-step explanation:

Answer:0,3

Step-by-step explanation:

The process to solve the linear  function problem is explained below .

In the question ,

we have been asked how can we solve a linear function problem .

we know that A linear function is a function that represents a straight line in the coordinate plane.

For Example, let the linear function problem be  f(x) = 3x - 2 ,

Step(1) :

to solve it we first have to equate the function to 0 ,

that is 3x - 2 = 0

Step(2) ;

we need to perform the necessary mathematical operation to find the value of x .

adding 2 on both sides of equation 3x - 2,

we get ,

3x = 2

dividing both sides by 3 ,

we have , x = 2/3 ,

the solution is x = 2/3 .

Therefore , the steps to solve a linear function is mentioned above .

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After you dilate a figure , The figure gets bigger or smaller.

Dilation in mathematics is a process of changing the size of an object or a shape without changing its shape.

When you dilate any figure distance between the points changes.

Either the image gets enlarge or shrinks depends on the scale factor.

Things that don't changes are:

Only the size of an image changes not it's shape.

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Using the concept of asymptote of the function it can be concluded that the number of boxes of cereals sold is 0 after 0 weeks, it will keep falling after reaching the maximum sales and cereals sold is always positive as the cereals introduced so the correct option are A, C and E.

A line that a curve approaches but never touches is an asymptote. The graph of a function converges to a line known as an asymptote, in other words. When graphing functions, asymptotes are usually not necessary to be drawn. The curve must not contact the asymptote when we graph them using dotted lines (imaginary lines). As a result, the asymptotes are merely made-up lines. When either the value of x or y tends to or -, the distance between the asymptote of a function, y = f(x), and its graph is close to zero.

Option A is correct as according to the option A: - B(w)= [tex]\frac{120w}{150+w^{2} }[/tex], w=0.

On putting the value of w=0 in above function implies B(w)=0.

Hence, number of boxes of cereals sold is 0 after 0 weeks.

Option C is correct as function B(w) is decreasing function after reaching its maxima according to graph.

Option E is correct as B(w)= [tex]\frac{120w}{150+w^{2} }[/tex], if w>0

implies that B(w)>0 as numerator>0 and denominator>0.

Based on the asymptote of function the number of boxes of cereals never reach 0 after cereals introduced in the store.

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Lines b is parallel at an intersection at an angle of 89. 5 degrees.

In the above question, the two parallel lines will be b and d.

How do parallel lines work?

From the illustration, we can see that

Lines b and an intersect at an angle of 89. 5 degrees.

Lines c and an intersect at an angle of 91.5 degrees.

Lines d and an intersect at an angle of 89.5 degrees.

Lines e and an intersect at an angle of 88.5 degrees.

Lines f and an intersect at an angle of 90.5 degrees.

Since the angles created by lines b and an are equal, the result is 89.5.

Consequently, these two lines will never intersect.

However, other lines have different angles, so they can collide at a single location.

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Answer: neither

Step-by-step explanation:

y=mx+b

y=2x+3

m= 2/1

y-1=1/2(x+2)

y-1=1/2x +1

+1          +1

y=1/2x + 2

m=1/2

Answer:

To find out how many miles per gallon the truck got, we can divide the number of miles it traveled by the number of gallons of gas it used: 84 miles / 4 gallons = <<84/4=21>>21 miles/gallon.

To find out how many miles per gallon the SUV got, we can divide the number of miles it traveled by the number of gallons of gas it used: 72 miles / 3 gallons = <<72/3=24>>24 miles/gallon.

To find out how many more miles per gallon the SUV got than the truck, we can subtract the number of miles per gallon the truck got from the number of miles per gallon the SUV got: 24 miles/gallon - 21 miles/gallon = <<24-21=3>>3 miles/gallon.

The SUV got 3 more miles per gallon than the truck.

Step-by-step explanation:

Answer:The SUV got 3 more miles per gallon than the truck.

Step-by-step explanation:

Therefore , the answer is  the confidence interval is positive, the researcher can conclude there is a greater proportion of men than women who watch television regularly.

A confidence interval in frequentist statistics is a range of estimates for an unobserved parameter. The most common confidence level for computing confidence intervals is 95%, however other levels, including 90% or 99%, are sporadically employed.

Here,

Assuming that the confidence interval's lower and upper bounds are both positive and that it does, then one of the proportions must be larger than the other as the confidence interval's range corresponds to the difference in proportions. Men watch television more frequently than women do (56/70 vs. 47/85, according to a quick calculation of the proportions).

The reply is "D" The researcher can infer that more men than women routinely watch television because the confidence interval is positive.

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Answer:

There are two elements arranged in a single row and two columns in the matrix, hence it is an example of a row matrix. Example 3: A Row matrix of the order 1 x 3, is: A = [ 1 3 8 ] 1 × 3. In the above example, there are three elements in the matrix arranged in a single row and three columns.

Step-by-step explanation:

HOPE IT HELPS U BTW HAVE A GOOD DAY :D

The value of the given car after 7 years will be $2880 which has been decreasing by 20% every three years.

A car is currently $6,000 and has been decreasing by 20% every three years.

After 7 years, the car will have decreased in value by 7 / 3 = 2 full cycles of 20%.

Each cycle decreases the value of the car by 20/100 × $6,000 = $1200.

After two cycles, the value of the car will be :

$6,000 - 2 × $1,200 = $3,600.

After 7 years, the car will have decreased in value by an additional :

$3,600 × 20/100 = $720.

So, after 7 years, the car will be worth :

$3,600 - $720 = $2880.

Therefore, the value of the given car after 7 years will be $2880.

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The integer value of x is 6.

What is a side of a triangle?

The three vertices of a triangle connect the straight lines that make up its sides. In other terms, we can state that a triangle's sides are line segments that converge at the triangle's vertices.

Here, we have

Given,

the lengths of the sides of a triangle are x, 5, and 8.

x² + 5² < 8²

x² + 25 < 64

x² < 39, now perfect squares less than 39 are 36, 25, 16, 9, 4, 1.

x² + 5² = 8²

x² + 25 = 64

x²  = 39, No integer values.

x² + 5² > 8²

x² + 25 > 64

x² + > 39

Here the possible integer values are infinite.

Hence, the integer value of x is 6.

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The probability that a teenage boy has a cholesterol level greater than 200 is 0.11507.

Let the distribution of teenage boys' cholesterol levels be x

According to the question,

X follows a Normal distribution with

mean = 170

Standard deviation = 25

Hence, the variance = 25² = 625.

Hence X ~ N(170,25)

Now we need to find P(X>200)

= 1 - P(X<200)

Now to find this we need to convert the problem to a standard normal distribution

for this, we use the formula

P(X<x) = P(Z<x-mean/sd)

Therefore,

P(X<200)

= P(Z<(200 - 170)/25)

= P(Z<30/25)

= P(Z<1.2)

According to Z table,

P(Z<1.2)

= 0.88493

Hence, P(X>200)

= 1 - 0.88493

= 0.11507

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The speed at which Marry was initially driving was 13 miles per hour and with that speed Marry drove 156 miles.

Given, Marry drove 156 miles at a constant rate.

If she had driven 99 miles/hour faster, she could have reduced her driving time by 45 minutes.

we have to find the speed at which Marry was driving.

Let the speed be, v

On using the distance formula, we get

Distance = Speed × Time

156 = vt

If she drive 99 miles/hour faster then her time reduced by 45 min.

156 = (v + 99)(t - 3/4)

156 = 156 + 99t - 3/4v - 297/4

396t = 3v + 297

396t = 468/t + 297

On solving the quadratic equation, we get

t = 12

and v = 13

So, the speed of marry was 13 miles per hour.

Hence, Initially the speed of marry was 13 miles per hour and with that speed Marry drove 156 miles.

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The range is roughly four times the standard deviation, according to the range rule of thumb.

We have to explain, the rule for range.

As we know that;

The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.

There have range rule of thumb;

The range is roughly four times the standard deviation, according to the range rule of thumb. Another statistician's measure of spread is the standard deviation. It describes the way that your data is grouped around the mean.

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Answer:

y= -1/2x+2

Step-by-step explanation:

slope intercept form is y=mx+b

m is slope

b is y intercept

To find slope we use y2-y1/x2-1

I will use points (4,0) and (0,2) to show it

2-0/0-4)

2/-4

-1/2 is the slope

y= -1/2x+b

We also know the y intercept because the Line intersects the y axis when y=2

y= -1/2x+2

Hopes this helps

The percentage of customers getting free games is 25%

To calculate the percentage, divide the value by the total value and multiply the result by 100.

Formula for percentage = (Value/Total value) 100

Example: 2/5 of 100 = 0.4 of 100 = 40%

We must use a different formula to calculate the percentage of a number, such as:

X = P% of Number

where X represents the required percentage.

If we remove the % sign, the above formulas must be expressed as;

X = P/100 * Number

Given:

Total number of customers = 120 customers

customers have free game = 30 customers

so, let the percentage will be x%

[tex]percent = \frac{x}{100}whole\\ 30 = \frac{x}{100}120\\ \frac{3000}{120} = x\\x= 25[/tex]

so the percentage of customers getting free games is 25%

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The number of unique orders that Gabriel can arrange for the new flavors of his favourite snak is 6..

The term permutation refers to the mathematical calculation of the number of ways a given set can be arranged. Simply put, permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of placement is important.

P(n,r) = n!/(n-r)!

where n --> total items in the set;

r --> items taken for the permutation;

"!" --> denotes taking the factorial

We have given that,

total possible flavours of Gabriel's favorite snack = 3

He wants to try each of the new flavors one after the other.

We have to calculate the number of ways Gabriel can arrange the new flavors .

For this Use the permutation formula,

ⁿPᵣ = n!/(n-r)!

here , n = 3 , r = 3 then,

P (3,3) = 3!/(3 − 3)!

= 3!/0!

As we know that 0! = 1 so, P(3,3) = 3!

= 3×2×1 (because n! = n(n-1)(n-2)---3.2.1 )

= 6

There are 6 unique orders in which Gabriel can arrange the new flavors.

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Answer:

5

Step-by-step explanation:

Based on the given conditions, formulate: 15 × ( 1 - 2/3)

Apply Multiplicative Distribution Law: 15 - 10

Calculate the sum or difference: 5