Julie is enjoying the pool and hot tub at her hotel. She likes jumping from the colt 65° pool into the hot 107° hot tub. What is the temperature difference Julie is experiencing as she moves from pool to hot tub?

Yes , the situation can be represented by a linear function where the equation is A = 2x + 4  where x is the number of weeks

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

The initial amount in Justin's savings account = $ 4

The amount saved by Justin every week = $ 2

Let the number of weeks be = x

So , the amount saved by Justin in x weeks = 2x

Now , the total amount saved by Justin in savings account A = initial amount in Justin's savings account + amount saved by Justin in x weeks

Substituting the values in the equation , we get

A = 4 + 2x

On simplifying the equation , we get

A = 2x + 4

which is of the form of a linear equation of line

Hence , the linear equation is A = 2x + 4 , where x is the number of weeks

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Answer:

When n=3 and x=−2  the answer is 11.

Step-by-step explanation:

Given:

Let p (n,x) be the function such that

[tex]p (n,x) = n + 2x^{2}[/tex]

To Find:

p (n,x) = p ( 3, -2) = ?

Solution:

[tex]p (n,x) = n + 2x^{2}[/tex]

Substituting n = 3 and x = -2 we get

[tex]p (3, -2) = 3 + 2(-2)^{2}[/tex]

Negative square gives positive number therefore (-2)²=4

[tex]p (3, -2) = 3 + 2\times 4[/tex]

[tex]p (3, -2) = 3 + 8\\p (3, -2) = 11[/tex]

When n=3 and x=−2  the answer is 11.

Final answer:

When evaluating the expression n+2x^2 with n=3 and x=-2, we substitute the values to get 3 + 2(-2)^2, which simplifies to 3 + 8. The final evaluated expression is 11.

Explanation:

To evaluate the expression n+2x² with given values for n and x, we need to substitute the values into the expression and simplify it.

In this case, n = 3 and x = -2. Substituting these values in, we get:

3 + 2(-2)²

First, we calculate the square of -2:

3 + 2(4)

Now, we multiply 2 by 4:

3 + 8

Finally, we add 3 and 8 together:

11

Therefore, the evaluated expression is 11.

The profit is $3300 for the month of January.

Step-by-step explanation:

Per hour charge = $40

Total number of tutoring hours = 200

Rent of space = $4000

Electricity = $325

Advertising = $375

Total expenses = 4000+325+375 = $4700

Profit = $40(number of hours) - (expenses)

[tex]Profit=\$40(200)-4700\\Profit=\$8000-4700\\Profit=\$3300[/tex]

The profit is $3300 for the month of January.

Keywords: profit, addition

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Answer:

x=1, y=2. (1, 2).

Step-by-step explanation:

2x+5y=12

4x-y=2

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

y=4x-2

2x+5(4x-2)=12

2x+20x-10=12

22x-10=12

22x=12+10

22x=22

x=22/22

x=1

4(1)-y=2

4-y=2

y=4-2=2

y=2

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}2x+5y=12\\4x-y=2&\text{multiply both sides by 5}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+5y=12\\20x-5y=10\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad22x=22\qquad\text{divide both sides by 22}\\.\qquad x=1\\\\\\\text{Put the value of}\ x\ \text{to the second equation:}\\\\4(1)-y=2\\4-y=2\qquad\text{subtract 4 from both sides}\\-y=-2\qquad\text{change the signs}\\y=2[/tex]

The right answer is Option B.

Step-by-step explanation:

Beef per patty = 4.8 ounces

Number of hamburgers = 80

Beef required = Number of hamburgers * beef per patty

Beef required = [tex]80*4.8 = 384 \ ounces[/tex]

As we know,

16 ounces = 1 pound

1 ounce = [tex]\frac{1}{16} \ pounds[/tex]

384 ounces = [tex]\frac{1}{16}*384[/tex]

384 ounces = 24 pounds

24 pounds of beef is required to make 80 hamburger patties.

The right answer is Option B.

Keywords: multiplication, division

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Answer:

Step-by-step explanation:

10% of £54=£5.4 (price reduced by 10%)

Normal price should be £5.4 +£54= £59.4

Hey! How are you? My name is Maria, 19 years old. Yesterday broke up with a guy, looking for casual sex.

Write me here and I will give you my phone number - *pofsex.com*

My nickname - Lovely

Answer:-4 2/3

Step-by-step explanation: negative number minus itself will always be positive.

Answer:

True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

+18

Step-by-step explanation:

Answer:

[tex] ME=1.64\sqrt{\frac{0.07(1-0.07)}{370}}=0.0218[/tex]

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

[tex]p[/tex] represent the real population proportion of interest

[tex]\hat p=0.07[/tex] represent the estimated proportion for the sample

n=370 is the sample size required (variable of interest)

[tex]z[/tex] represent the critical value for the margin of error

The population proportion have the following distribution  

[tex]p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})[/tex]  

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by [tex]\alpha=1-0.90=0.10[/tex] and [tex]\alpha/2 =0.05[/tex]. And the critical value would be given by:  

[tex]z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64[/tex]  

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)  

And replacing into formula (a) the values provided we got:

[tex] ME=1.64\sqrt{\frac{0.07(1-0.07)}{370}}=0.0218[/tex]

The margin of error on this case would be ME=0.0218

{x|x=-5, -3, 1, 2, 6}  is the domain of the function shown in the mapping?.

Step-by-step explanation:

The function’s domain is the whole group of the possible values for the independent variables. Generally, this definition explains:

A domain is a group of all possible x values that cause a "function work" to perform true y values.

When finding your domain, pay attention to the following:

• The denominator (in bottom) must not be zero

• The number below the square root must be positive in the section.

From the given mapping figure, Domain: {x| x = -5, -3, 1, 2, 6}

Answer:

it saids all that apply its A and what ????

Step-by-step explanation:

The correct options are:

(A) 6 (1/3) cup of flour

(E) 6/5 cups of chopped almonds.

Step-by-step explanation:

Given information:

One batch of cookies requires the ingredients:

2 (1/3) cup of flour.

3/4 of a cup of chocolate chips

2/5 of a cup of chopped almonds

1 (1/2) cup of brown sugar

3/8 of a cup of white sugar

1/2 of teaspoon of salt

Now if Eric wishes to triple the recipe, He needs to triple all the ingredients.

So the new list of ingredients will be triple of pervious one.

That will be:

6 (1/3) cup of flour

3 (3/4) cup of chocolate chips

3 (2/5) cup of chopped almonds

3 (1/2) cup of brown sugar

3 (3/8) cup of white sugar

3 (1/2) tea spoon of salt

So the correct options are:

(A) 6 (1/3) cup of flour

(E) 6/5 cups of chopped almonds.

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Answer:

those are the dimentions

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 4 it's a vertical line.

Perpendicular line to a vertical line is a horizontal line.

A horizontal line has equation y = a.

A horizontal line passes through the point (3, 5) → x = 3 and y = 5.

Therefore the equation is y = 5

Answer:

The x-coordinate of the x-intercept that is located to the left of the origin is equal to -1

Step-by-step explanation:

we have the function

[tex]f(x)=4x^3-12x^2-x+15[/tex]

we know that

The x-intercepts are the values of x when the value of the function is equal to zero

using a graphing tool

The function has three x-intercepts

The x-intercepts are the points

(-1,0),(1.5,0) and (2,5,0)

see the attached figure

The x-intercept that is located to the left of the origin is the point (-1,0)

therefore

The x-coordinate of the x-intercept that is located to the left of the origin is equal to -1

Answer:

The x-coordinate of the x-intercept is -1.

Step-by-step explanation:

Answer:

9.63

Step-by-step explanation:

Answer:

3x+12=57

x= how many days

Step-by-step explanation:

Answer:

[tex]3x+12=57[/tex]

Step-by-step explanation:

Let x represent number of days.

We have been given that Marco earns $3 per day working. So amount earned in x days would be [tex]3x[/tex].

We are also told that Marco already has $12 saved, so total amount saved by Marco in x days would be [tex]3x+12[/tex].

Now we will equate total amount saved by Marco in x days with 57 as Marco needs to save $57 to buy new shoes.

[tex]3x+12=57[/tex]

Therefore, the equation [tex]3x+12=57[/tex] shows the number of days (x) that Marco must work before he can afford the shoes.

A) {0,1,2,3,4,5,6,7,8,9} is the right answer

Step-by-step explanation:

Given

A = {1, 2, 5, 7}

B = {3, 4, 6, 7}

C = {0, 5, 8, 9}

We hvae to find the union of all thre sets.  In union, the elements of involved sets are combined. The repating elements are only written once

So,

[tex]AUBUC = \{1, 2, 5, 7\}U\{3, 4, 6, 7\}U\{0, 5, 8, 9\}\\= \{0,1,2,3,4,5,6,7,8,9\}[/tex]

Hence,

A) {0,1,2,3,4,5,6,7,8,9} is the right answer

Keywords: Sets, Union

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Answer:yo7 can add or multiply numbers regardless how they are grouped

Step-by-step explanation:

Answer:

Step-by-step explanation:

note :  P(AUB) = p(A)+p(B) - p(A∩B)

P(AUB) = 8/15+6/15- 1/5 = 8/15+6/15-3/15 = 11/15 answer : B

Probability helps us to know the chances of an event occurring. The correct option is B.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that P(A) = 8/15, P(B) = 6/15, and P(A n B) = 1/5. Therefore, the value of P(AUB) will be,

P(AUB) = P(A) + P(B) + P(A n B)

             = 8/15 + 6/15 - 1/5

             = 11/15

Hence, the correct option is B.

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Answer:

y + 3 = 4(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 4 and (a, b) = (- 1, - 3), thus

y - (- 3) = 4(x - (- 1)), that is

y + 3 = 4(x + 1)

Answer:

its C can i have

Step-by-step explanation:

Answer:

sec squared 55 – tan squared 55  = 1

Explanation:

Given, sec square 55 – tan squared 55

We know that,

[tex]\sec \Theta=\frac{\text {hypotenuse}}{\text {base}}[/tex]

And,

[tex]\tan \theta=\frac{\text { perpendicular }}{\text { base }}[/tex]

where Ө is the angle

Substituting the values

[tex]\left(\frac{\text {hypotenuse}}{\text {base}}\right)^{2}-\left(\frac{\text { perpendicular }}{\text {base}}\right)^{2}[/tex]

Solving,

[tex]\frac{(\text {hypotenuse})^{2}-(\text {perpendicular})^{2}}{(\text {base}) *(\text {base})}[/tex]

According to Pythagoras theorem,

[tex]\text { (hypotenuse) }^{2}-\text { (perpendicular) }^{2}=(\text { base })^{2}[/tex]

Putting this in the equation;

squared 55 - tan squared 55 =

[tex]\frac{(\text {hypotenuse})^{2}-(\text {perpendicular})^{2}}{(\text {base}) *(\text {base})}=\frac{(\text {base})^{2}}{(\text {base}) *(\text {base})}=1[/tex]

Therefore, sec squared 55 – tan squared 55 = 1

The value is always 1.

To solve the expression sec²(55°) - tan²(55°), we can use a trigonometric identity. Recall the Pythagorean identity for tangent and secant:

sec²(θ) - tan²(θ) = 1

Using this identity, we substitute θ with 55°:

This simplifies our expression immediately, as the value is always 1 regardless of the angle, as long as the identity holds.

So, sec²(55°) - tan²(55°) = 1.

Answer:

2.5

Step-by-step explanation:

56(t+1/2)=70 t

56T + 28= 70T

28=70T-56T

28=14

2=T

s=T+ 1/2

S=2+ 1/2

S=2.5 hours

Tina traveled for 2 hours at a speed of 70 miles per hour, covering a distance of 140 miles.

Stephanie traveled for 2.5 hours at a speed of 56 miles per hour, also covering a distance of 140 miles.

The distance traveled by a vehicle is given by the formula: distance = speed × time.

For Stephanie:

Distance_stephanie = Speed_stephanie × Time_stephanie

Distance_stephanie = 56 × (t + 0.5)

For Tina:

Distance_tina = Speed_tina × Time_tina

Distance_tina = 70 × t

Since both Stephanie and Tina are traveling the same route, the distances they travel should be equal:

Distance_stephanie = Distance_tina

Substitute the expressions for distances:

56 × (t + 0.5) = 70 × t

Now solve for "t":

56t + 28 = 70t

28 = 14t

t = 28 / 14

t = 2

So, Tina traveled for 2 hours.

Now we can find the distance traveled by both Stephanie and Tina:

Distance_tina = 70 × t

Distance_tina = 70 × 2

Distance_tina = 140 miles

Distance_stephanie = 56 × (t + 0.5)

Distance_stephanie = 56 × (2 + 0.5)

Distance_stephanie = 56 × 2.5

Distance_stephanie = 140 miles

Both Stephanie and Tina traveled a distance of 140 miles.

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Answer:

43 , 44 ,45

Step-by-step explanation:

X + X + 1 + X + 2 = 132

3X + 3 = 132  

3X  = 132 - 3

3X = 129

X = 129/3

X = 43

so first number is 43.

second number will be 43 + 1 = 44

third number will be 43 + 2 = 45

Answer:

4000 is size of a crowd walking in a charity fundraising March.

Step-by-step explanation:

Given:

Dimensions of rectangular space 10 feet by 12000 feet

So we can say that,

Length = 1200 ft

Width = 10 ft

Now we will calculate the area of rectangular space which is given by

Hence Area will be = [tex]length\times width= 10\ ft \times 1200 \ ft= 12000 \ ft^2[/tex]

Now we know that 40 people occupy a rectangle measuring 10 feet by 12 feet.

Length = 12 ft

Width = 10 ft

Area = [tex]length\times width= 10\ ft \times 12 \ ft= 120 \ ft^2[/tex]

It says that 40 people are occupied in 120 [tex]ft^2[/tex]

So how many people will be there in 12000 [tex]ft^2[/tex]

By using unitary method we get,

Number of people = [tex]\frac{40\times 12000 \ ft^2}{120 \ ft^2} = 4000 \ peoples[/tex]

Size of a crowd walking in a charity fundraising March is 4000.

Answer:

4,000 people

Step-by-step explanation:

49 people occupy 120 ft^2

Dimensions of crowd: 10×1,200=12,000

120 ft^2/40 people = 12,000 ft^2/x people

X=4,000

Answer:

The radius of the circle is 2.4ft

Step-by-step explanation:

circumference of circle = 2πr

circumference = 15ft

2πr = 15

(2×3.14)r = 15

6.28r = 15

r = 2.4ft (near. tenth)

Answer:

The answer is 2.4 ft.

Step-by-step explanation:

C= 2πr

15= 2(3.14)r

15= 6.28r

15÷6.28= 6.28r÷ 6.28

2.4= r

Answer:

$1,575

Step-by-step explanation:

x = the cost of the less expensive piece of equipment

x+850 = the cost of the more expensive piece of equipment

x + (x+850) = 4,000 the.     two pieces together cost 4,000, so I added up the cost of the less expensive piece and the more expensive piece, and equaled it to 4,000

solve the equation:

x + (x+850) = 4,000

2x+850=4,000

2x=3,150

÷2

x=1,575

Answer:

1st angle 30°

2nd angle 120°

3rd angle 30°

Step-by-step explanation:

Let's call

A = 1st angle

B = 2nd angle

C = 3rd angle

In every triangle it holds

A + B + C = 180°

Now, if the third angle of the triangle is the same size as the first

A = C

If the second angle is 4 times the third

B = 4C

we have then

C + 4C + C = 180° ===> 6C = 180° ===> C = 30°

If C = 30° then A = 30° and B = 120°

Answer:

60%

Step-by-step explanation:

51+34=85

51/84= 0.60 or 60%