Last week Perry ran 24.9 miles more than Mike. Perry ran 40.5 miles. How many miles did Mike run? LAST ONE LOL

Answer:

The 4 packages of 15 tops for $18 is a better deal

Step-by-step explanation:

We can see which set of tops have the lowest unit price.

4 packages of 15 tops for $18:

4*15=60

There is a total of 60 tops for $18, which means each top costs 18/60 dollars, or $0.30.

5 packages of 10 tops for $16

5*10=50

There is a total of 50 tops for $16, which means that each top costs 16/50 dollars, or $0.32.

0.32>0.3

The 4 packages of 15 tops for $18 is a better deal :)

Have a great day

Answer:

y = 2x + 4

Step-by-step explanation:

y = mx + b

b = y-intercept = 4

m = slope = rise/run = 4/2 = 2

y = 2x + 4

Solve each equation with (0, 3)

y = -x + 3

3 = -0 + 3

y = 3 (correct since y = 3 in (0, 3))

y = 2x - 3

3 = 2(0) - 3

3 = 0 - 3

3 = -3 (incorrect since it isn't equal)

So... No, because it does not check in the second equation.

Best of Luck!

Answer:

a positive 1; negative 3 or 1

Step-by-step explanation:

To determine the number of positive roots, we have to determine the number of sign changes for f(x) = x⁴ + 2x³ - 3x² - 8x - 4.

The coefficients in f(x) are +1, +2, -3, -8, -4.

Since there is only one sign change from +2 to -3, we have 1 positive root.

To determine the number of negative roots, we have to determine the number of sign changes for f(-x) = (-x)⁴ + 2(-x)³ - 3(-x)² - 8(-x) - 4 = x⁴ - 2x³ - 3x² + 8x - 4

The coefficients in f(-x) are +1, -2, -3, +8, -4.

Since there is three sign change from +1 to -2, from -3 to +8, and from +8 to -4. So,we have 3 or 1 negative root, since the number of negative roots is equal to the number of sign changes or an even number less than the number of sign changes. So, 3 -2 = 1

So, the number roots are of positive 1; negative 3 or 1

Answer:

a.positive 1; negative 3 or 1

Step-by-step explanation:

EDGE 2020

Answer:

Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle. The inscribed angle's arc measures 36%, and the central angle's arc measure 72%

Answer:

75

%Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle.

Answer:

1. 7

2. 6

[tex]3. 3\sqrt{5}[/tex]

4?

5. [tex]8\sqrt{10}[/tex]

6.[tex]5\sqrt{3}[/tex]

7. [tex]-1+\sqrt{3}[/tex]

Step-by-step explanation:

1. [tex]\sqrt{7} *\sqrt{7} =\sqrt{49}=7[/tex]

2. [tex]\sqrt{18}*\sqrt{2} =\sqrt{36}=6[/tex]

3.[tex]\sqrt{45}=\sqrt{9^{2}*5 }=3\sqrt{5}[/tex]

4. here there are two cases

[tex]\sqrt{\frac{50}{5} }=\sqrt{10}[/tex]

[tex]\frac{\sqrt{50} }{5} =\frac{5\sqrt{2} }{5} =\sqrt{2}[/tex]

5. [tex]2\sqrt{2} *4\sqrt{5} =8\sqrt{10}[/tex]

6. [tex]\sqrt{48}- \sqrt{12} =4\sqrt{3} -2\sqrt{3} =2\sqrt{3}[/tex]

7. [tex](2-\sqrt{3} )(1+\sqrt{3} )=2+2\sqrt{3}-\sqrt{3} -3=-1+\sqrt{3}[/tex]

Answer:

[tex] y= cx^2 +dx +e[/tex]

We see that:

[tex] c = a, d= 2a , e= 3[/tex]

The axis of symmetry is defined by this formula:

[tex] X= - \frac{d}{2c}[/tex]

And replacing we got:

[tex] X= -\frac{2a}{2a}= -1[/tex]

Thn the axis of symmetry would be X=-1

Step-by-step explanation:

For this case we have the following function:

[tex] y = ax^2 +2ax +3[/tex]

If we compare this function with the general expression of a quadratic formula given by:

[tex] y= cx^2 +dx +e[/tex]

We see that:

[tex] c = a, d= 2a , e= 3[/tex]

The axis of symmetry is defined by this formula:

[tex] X= - \frac{d}{2c}[/tex]

And replacing we got:

[tex] X= -\frac{2a}{2a}= -1[/tex]

Thn the axis of symmetry would be X=-1

Answer: Function 2 has a greater rate of change by 13/4

Step-by-step explanation:

We must work with linear equations, remember that the general shape is:

y = a*x + b

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

Ok, first we want to find the rate of change (or the slope) of the graphed line:

We know that for a line that passes through the points (x1, y1) and (x2, y2)

The slope is:

a = (y2 - y1)/(x2 - x1)

Then for the graphed function, we can see that it passes through the points:

(0, -2) and (4, 0)

Then the slope is:

a = (0 -(-2))/(4 - 0) = 2/4 = 1/2

Now, the slope of the second line is 15/4.

Let's calculate the difference between the slopes:

15/4 - 1/2 = 15/4 - 2/4 = 13/4

(notice that we are calculating slope2 - slope1)

Then the correct option is:

Function 2 has a greater rate of change by 13/4

Answer:

B) Function 2 has a greater rate of change by 13/4

Step-by-step explanation:

Answer:

Our system of equations is:

We are looking for x

Let's express y using x

Replace x in the second equation with the result

4x²+20x+3=0 is a quadratic equation

Let Δ be our discriminant

Δ= 20²-4*4*(-3)

Δ=448 > 0 so we have two solutions for x

let x and x' be the solutions

so the solutions are:

-5.15 and 0.15

Answer:

A

Step-by-step explanation:

Firstly we find the x value. x-7=0; x=7

Secondly we introduce x value in 1st ecuation. So

(7-3)^2 +(y+1)^2=16, 16+y^2+2y+1=16,

Consider this ecuation: y^2+2y+1=0

y1=( -b+Δ)/ 2a, y2= (-b-√Δ)/2a, Δ=√b^2-4ac=√4-4=0

y1,2= -2/2= -1  

1 Real solution x=7 and y= -1.

Answer:

The hundredths place.

Step-by-step explanation:

48 is the whole number, and .061 is the decimals. As you probably know, this is the whole numbers place value.

ones, tens, hundreds, thousand, 10 thousand, 100 thousand, million...ect.

The decimal places are different

in this case the 0 is the tenths

the 6 is the hundredths

and the 1 is the thousandths.

Mostly, the decimal points are just with added ths to the end.

Hope this helped :D

As per the given number, the place value of 6 is that it is at hundredths place.

Place value is the value assigned to each digit in a number. Depending on its location, each digit in such a number has a unique value. Because a digit's value relies on where it appears in an integer, it is possible for an amount to have two equivalent digits with different values.

The decimal equivalent of 48 is .061. The entire number is 48. This is the entire integer's place value, as you are surely aware.

The decimal places are different

In the given question, the 0 is at tenths place ,6 is the hundredths place and 1 is the thousandths place.

The decimal points are typically only inserted at the end.

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The equation is -1/5x-4 represented by the graph. The correct option is B.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Let us check the equation -1/5x-4. The line goes down one and turns right 5. The Slope is -1/5x and the y-intercept is at -4. The graph of the equation is attached with the answer below.

Hence, option B is correct.

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Answer: 0.28157

Step-by-step explanation:

Given, The proportion of the community favored building a police substation in their neighborhood: p= 0.75

Number of citizens are chosen: n= 10

Let x be the binomial variable that represents the number of citizens favor the building of the police substation.

Then, the probability that exactly 8 of them favor the building of the police substation will be :

[tex]P(x=8)=\ ^{10}C_8(0.75)^8(1-0.75)^2[/tex]

 [Using binomial probability function [tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]]

[tex]=\dfrac{10!}{8!2!}(0.100113)(0.0625)\\\\=0.2815678125\approx0.28157[/tex]

Hence, the probability that exactly 8 of them favor the building of the police substation =0.28157

Answer:

False

Step-by-step explanation:

[tex]y = x^2-3x+8[/tex]

Y-intercept is when x = 0

So, Putting x = 0 in the above equation

[tex]y = (0)^2-3(0)+8\\y = 0-0+8\\y = 8[/tex]

So, y-intercept = 8

y-intercept = -3 is a false statement.

Answer:

[tex]\boxed{false}[/tex]

Step-by-step explanation:

The y-intercept is when the value of x is 0.

Let x = 0

y = 0² - 3(0) + 8

y = 0 - 0 + 8

y = 8

The y-intercept is 8.

Answer:

g(x)= 0.05x represents the amount of bonus, f(x)=x-3,000 represents weekly sales over $3,000.

Step-by-step explanation:

The function f(x) represents how much money earned by sales person weekly over $3000.

And function g(x) represents the amount of bonus earned by salesperson.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called function.

According to the given question.

The percent of bonus earned by salesperson weekly on sales over $3,000 is 5%.

Also, we have two functions.

[tex]f(x) = x - 3000[/tex]

and [tex]g(x) = 0.05x[/tex]

For the function, f(x) if x is the amount of money earned salesperson in a week, then f(x) will represents how much money salesperson earned apart form $3000.

And the function g(x) represents the amount of bonus earned by the salesperson.

Hence, the function f(x) represents how much money earned by sales person weekly over $3000. And function g(x) represents the amount of bonus earned by salesperson.

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Answer:

d. 200%

Step-by-step explanation:

( 800 ÷ 400 ) × 100

A game is played using one die. If the die is rolled and shows 1, the player wins $5. If the die shows any number other than 1, the player wins nothing. If there is a charge of $1 to play the game, what is the game's expected value?

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

Let random variable "x" be a count of player gain.

X-values are: 4, -1

P(x=4) = 1/6; P(x= -1) = 5/6

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

E(x) = (1/6)(4) + (5/6)(-1)

E(x) = [4-5]/6

E(x) = -1/6 = -17 cents

=============================

Cheers,

Answer:

(D) [tex]p^{2} -9p+18[/tex]

Step-by-step Explanation:

Assuming that the equation [tex]x^{2} -2[/tex] = p, we can convert the equation into this.

[tex]p^{2} +18=9p[/tex]

We can convert [tex]9x^{2} -18[/tex] into 9p because [tex]x^{2} -2[/tex] × 9 = [tex]9x^{2} -18[/tex]

Now we simplify this equation.

We can subtract 9p from both sides of the equation.

[tex]p^{2} +18-9p = 0[/tex]

Re-ordering the equation gets us:

[tex]p^{2} -9p+18[/tex]

So, (D) [tex]p^{2} -9p+18[/tex] is equivalent to the original expression of [tex](x^{2} -2)^{2} + 18 = 9x^{2} -18[/tex]

Answer:

v=√E/m or v=√E /√m

Step-by-step explanation:

Complete question below:

The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of

the object.

E = mv^2

Solve the formula for v.​

Solution

E=mv^2

Where,

E=kinetic energy

m=mass

v=speed of the object

E=mv^2

Divide both sides by m

E/m=mv^2/m

E/m=v^2

It can be rewritten as

v^2=E/m

Square root both sides

√(v^2)=√E/m

v=√E/m

Or

v=√E/√m

This is to say speed (v)=square root of kinetic energy (E) Over masa(m)

Answer:

9! means 9 factorial

Step-by-step explanation:

9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

Answer:

  an = 5n -7

Step-by-step explanation:

Try the offered formulas with n= 1 and see which gives you the first term of the sequence.

an = -2n +3

  -2(1) +3 = 1 . . . . not -2

an = -2n +7

  -2(1) +7 = 5 . . . . not -2

an = 5n +3

  5(1) +3 = 8 . . . . not -2

an = 5n -7

  5(1) -7 = -2 . . . . this is the formula you want

_____

If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.

Answer:

Option B.

Step-by-step explanation:

From the given venn diagram it is clear that

[tex]A={1,2}[/tex]

[tex]B={1,2,3,4,5,6}[/tex]

[tex]A\cap B={1,2}[/tex]

Since the intersection of A and B is non-empty, therefore by conditional probability

[tex]P(B|A)=\dfrac{P(A\cap B)}{P(A)}[/tex]

[tex]P(B|A)\cdot P(A)=P(A\cap B)[/tex]

[tex]P(A\cap B)=P(B|A)\cdot P(A)[/tex]

Therefore, the correct option is B.

Answer:

20 hours

Step-by-step explanation:

If your computer can download a movie in 5 hours, then it downloads [tex]\frac{1}{5}[/tex] of a movie in 1 hour.

The extra processor in 1 hour, reduces the time down to 5 hours, so it downloads [tex]\frac{1}{4}[/tex] of the movie in 1 hour.

The time that the extra processor will spend to download a whole movie added to  [tex]\frac{1}{5}[/tex] will equal [tex]\frac{1}{4}[/tex] .

So our equation is [tex]\frac{1}{5} + \frac{1}{x} = \frac{1}{4}[/tex].

To simplify this, lets multiply all sides by 20x.

[tex](\frac{1}{5}+\frac{1}{x} \cdot 20x) = \frac{1}{4}\cdot20x\\ 4x + 20 = 5x[/tex]

Now we can simplify this equation.

[tex]20 = 5x-4x\\\\20 = x\\x = 20[/tex]

So the extra processor alone would take 20 hours to download the movie.

Hope this helped!

Answer:

D

Step-by-step explanation:

The triangle is an isosceles triangle which means that two sides are the same, A is the same size of the equal side so A is D.

Answer:

The answer is D.

Answer:

Step-by-step explanation:

[tex](3x)^{2}[/tex]=[tex](3(2))^{2}[/tex] =36

(OR)

3([tex]x^{2}[/tex])=3(4)=12

Its depend on your sentence structure, what u r asking!!

The value of 3x squared when x = 2 is 36.

Given expression  [tex](3x)^2[/tex].

We have to calculate the value of this at [tex]x=2[/tex].

Now putting the value of x in the expression we get,

[tex](3\times2)^{2}[/tex]

Or,[tex]6^{2}[/tex]

[tex]36[/tex]

Hence the value of [tex](3x)^2[/tex] at [tex]x=2[/tex] will be 36.

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In a 30-60-90 triangle with short leg length x and hypotenuse length 8. the value of x in the triangle is 8 [tex]\sqrt{3}[/tex] / 3.

A right-angle triangle is a triangle that has a side opposite to the right angle the longest side and is referred to as the hypotenuse.

In a 30-60-90 triangle the ratio of the side lengths is 1 : 2 : [tex]\sqrt{3}[/tex]

To find the length of the short leg, x, you can create this proportion:

x / 8 = 1 / [tex]\sqrt{3}[/tex]

x = 8 × 1 / [tex]\sqrt{3}[/tex]

x = 8 / [tex]\sqrt{3}[/tex]

By rationalizing the denominator by multiplying the numerator and denominator by  [tex]\sqrt{3}[/tex].

x = 8 [tex]\sqrt{3}[/tex] / 3

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Answer:

24

Step-by-step explanation:

46 - 22 = 24