The linear equation y=45x describes how far from home Traci is as she drives from San Francisco to Dawson. Let x represent the number of hours and y represent the number of miles. How far from home is Traci in 12 hours? Graph the equation and tell whether it is linear.

Answer:

y = 3x + 17

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

6.75 dm²

Step-by-step explanation:

All the side edges in the regular triangular prism are 3 dm long. Then, the base of the triangular plate is 3 dm long, and the other two sides are: √[3² + 3²] = 4.24 dm long (a right triangle is made and Pythagorean theorem is applied).

The height of the triangular plate is: √[4.24² + 1.5²] = 4.5 dm long (again Pythagorean theorem is applied)

Area of the triangular plate is: base*height/2 = 3*4.5/2 = 6.75 dm²

Answer:

(-4y,+12y), (z,19z)

Step-by-step explanation:

i got the same question.

Answer:

A) 110°

Step-by-step explanation:

All triangles equal 180, so:

102 + 67 + x = 180

169 + x = 180

x = 11

1.20 Euro

BruhBruhBruh

Answer:

£1.20

Step-by-step explanation:

2/5 on magazine and 1/3 on dance lesson then we need to add these together by converting them to same fraction multiples.

2/5 x 3 = 6/15

1/3 x 5 = 5/15

6/15 +5/15 = 11/15

11/15 of 4.50 is found by division of the multiplier (the denominator)= 15

4.50/15 = 0.3     nb/ 0.3 = 1/15 of the whole 11 we search for

We then can multiply 0.3 x 11 as we have 1/15 and want 11/15

0.3 x 11 = 3.3

£3.30 = value of spending on dance lesson and magazine

0.3 x 4 = 1.2 = value of left over money

£1.20 converted to monetary

Answer:

3

Step-by-step explanation:

The equation will have a positive solution and the value of x will be 2/3.

A mathematical statement that shows that two mathematical expressions are equal.

Given is an equation, x - 5(x - 1) = x - (2x - 3)

On solving,

x-5x+5 = x-2x+3

3x = 2

x = 2/3

Hence, The equation will have a positive solution and the value of x will be 2/3.

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Answer:

2b + 2c

Step-by-step explanation:

when distributed, the 2 get multiplied by the b and the c, so you'd have 2b + 2c.

Answer:

Answer is 2b + 2c

Step-by-step explanation:

2(b+c) you multiply 2 with b and then with c

Answer:

11.17

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

First, divide 30.4 by 19 to get your factor.

You get 1.6

Then times 1.6 by 15 to get 24 for EF.

Answer:

-3/7 > b

Step-by-step explanation:

2/7> b+5/7

Subtract 5/7 from each side

2/7-5/7> b+5/7-5/7

-3/7 > b

Answer:

x= -12

Step-by-step explanation:

Assuming this is a direct variation

y = kx

When y = -16 x =4  we can find k

-16 = k*4

Divide each side by 4

-16/4 = 4k/4

-4 =k

So

y = -4k

Y = 48

48 = -4x

Divide each side by -4

48/-4 = -4x/-4

-12 =x

Answer:

(a)Time taken to reach the ground, x=6 seconds

(b)Maximum height of the arrow during its flight =101.25 feet

Step-by-step explanation:

Given the quadratic function which models the flight of the arrow:

[tex]y=-5x^2+15x+90[/tex]

Where:

(a)Positive Zero

[tex]-5x^2+15x+90=0\\-5(x^2-3x-18)=0\\-5(x^2-6x+3x-18)=0\\-5(x(x-6)+3(x-6))=0\\-5(x+3)(x-6)=0\\x+3=0\:or\:x-6=0\\x=-3,x=6[/tex]

In 6 seconds, the arrow will hit the horizontal plane, i.e. the ground.

(b)

[tex]y=-5x^2+15x+90\\y-90=-5(x^2-3x)\\y-90-5(\frac{9}{4}) =-5(x^2-3x+(\frac{3}{2} )^2)\\y-101.25=-5(x-\frac{3}{2} )^2\\y=-5(x-\frac{3}{2} )^2+101.25[/tex]

Comparing with the vertex form:

[tex]y=a(x-h)^2+k[/tex]

Our vertex, (h,k)=(1.5, 101.25)

Maximum Value of y=101.25

The maximum value of y represents the maximum height of the arrow during its flight, which is 101.25 feet.

Answer:

SA = 397

Step-by-step explanation:

The area of the rectangle is L x W = 18 x 7 = 126

The area of the triangle[tex]\frac{1}{3}[/tex] face is

A = [tex]\frac{1}{2}[/tex]bh

A = [tex]\frac{1}{2}[/tex] 18 x 10

A = [tex]\frac{1}{2}[/tex] 180

A = 90

Since there are two triangles the same size we times by 2

90 x 2 = 180

The triangles on the left and right sides are two other sizes compared to the other two triangles

A = [tex]\frac{1}{2}[/tex]bh

A = [tex]\frac{1}{2}[/tex] 7 x 13

A = [tex]\frac{1}{2}[/tex] 91

A = 45.5

Since there are two triangles the same size we times by 2 again so it will be 91

Than we add them up

91 + 126 + 180 = 397‬

Sorry if its wrong

The outlier in the data set {12, 15, 20, 44, 18, 20} is 44. It significantly increases the mean and range of the data set, but the median and mode are less affected. The outlier highlights sampling variability and induced variability.

The student has asked to identify the outlier in the data set {12, 15, 20, 44, 18, 20} and assess how it affects the mean, median, mode, and range of the data. Considering the provided data, it's apparent that the number 44 is the outlier since it is significantly higher than the rest of the numbers in the set. To confirm, we can calculate the interquartile range (IQR) and use it to detect outliers, but since the data set is small, a visual inspection is sufficient.

Without the outlier (44), the data set is {12, 15, 18, 20, 20}. The mean (or average) is calculated by adding all the numbers and dividing by the count of numbers, which results in a mean of (12 + 15 + 18 + 20 + 20) / 5 = 17. The median, which is the middle number when the data is sorted, is 18. The mode, the number that appears most often, is 20 in this case. As for the range, which is the difference between the largest and smallest number, it's 20 - 12 = 8.

With the outlier included, the mean becomes (12 + 15 + 18 + 20 + 20 + 44) / 6 = 21.5, the median remains 18, the mode is still 20, and the range expands to 44 - 12 = 32. Clearly, the outlier has a significant effect on the mean and range, causing them to increase, while the median and mode are less impacted due to their nature of being more resistant to extreme values. The presence of an outlier shows some degree of sampling variability and may introduce induced variability in the analysis of data.

Answer:

Answer is x = 100 degrees.

Step-by-step explanation:

Vertically opposite angles are equal.

Then value of x is 100 degrees.

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Step-by-step explanation:

[tex]x = 100 \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

48π or 150.72

Step-by-step explanation:

The radius of the big circle is 8.

We can use that to find the area of the big circle.

Area is πr^2

π(8)^2

64π

Now, we can find the area of the small circle.

The diameter of that is 8, meaning the radius is 4.

πr^2

π(4)^2

16π

Now we subtract the area of the small circle from the area of the big circle to get the area of the shaded region.

64π-16π=48π

As a decimal: 48*3.14=150.72

Answer:

y = 5x - 18

Step-by-step explanation:

Points:

Equation of the line:

y = ax + b

(5; 7) and (8; 22)

(5; 7)

7 = 5a + b

(8; 22)

22 = 8a + b

a and b are the same values:

{- 5a - b = - 7

{8a + b = 22

3a = 15

a = 5

5a + b = 7

5.5 + b = 7

25 + b = 7

b = 7 - 25

b = - 18

Equation:

y = 5x - 18

I Hope I've helped you.

Final answer:

The slope-intercept form equation of the line that passes through the points (5, 7) and (8, 22) is y = 5x + 18, found by first calculating the slope and then using the point-slope form to solve for y.

Explanation:

To find the slope-intercept form of the equation of the line that passes through the points (5, 7) and (8, 22), we first need to calculate the slope (m). The slope is given by the formula:

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

Using our points, this becomes:

m = (22 - 7) / (8 - 5) = 15 / 3 = 5

Now, we use one point and the slope in the point-slope form of the equation, y - y1 = m(x - x1), which becomes:

y - 7 = 5(x - 5) => y - 7 = 5x - 25

Solving for y to get the slope-intercept form, y = mx + b:

y = 5x + (25 - 7) = 5x + 18

So, the correct slope-intercept form equation of the line is y = 5x + 18.

Answer:

the outlier is the point at 15

the data is skewed to the bottom because the values below the median are far more spread out; there are more extreme values that are far below the median than above the median.

Step-by-step explanation:

A) If the outlier is included in the data, the median would not significantly change.

Box Plot is a pictorial way of denoting data's distribution on the basis of Quartile 1, Quartile 3, Minimum, Median and Maximum

Outliers are the data observations or points, lying at huge significant difference (distance) from other concentrated data observation points.

Median is a Positional average, the mid point of data. It divides the data into two equal halves, 50% below it & 50% above it.

Mean is an Arithmetic Average. It is effected by extreme values like outliers. However, in this case of presence of Lower Outlier, the mean would decrease rather than increasing.

Skewness or Tail in the data denotes concentration of values in either (lower or higher side). It is not related to outliers.

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Answer:

Dante has 12 times more stamps as Mila

Step-by-step explanation:

7 x 12 = 84

Answer:

12

Step-by-step explanation:

84 divided by 7 is 12

Answer:

x^2-3x-7=0. x2−3x−7=0 x 2 - 3 x - 7 = 0.

Step-by-step explanation:

x^2-3x-7=0. x2−3x−7=0 x 2 - 3 x - 7 = 0. Use the quadratic formula to find the solutions. −b±√b2−4(ac)2a - b ± b 2 - 4 ( a c ) 2 ...

Answer:

x=3/2 ±  √37/2

Step-by-step explanation: the answer

Final answer:

Ahmed's movement described by the expression 6 + (negative 8) suggests he moves from the sixth floor above ground level down to the second floor below ground level.

Explanation:

The expression Ahmed uses to describe his movement in the elevator is 6 + (negative 8). To understand this expression in the context of elevator movement, 6 could represent Ahmed starting on the sixth floor above ground level. The addition of negative 8 would signify moving 8 floors downward. Thus, the expression indicates that Ahmed moves from the sixth floor down to the second floor below ground level (since 6 - 8 equals -2). The negative result corresponds to floors below ground level. Therefore, the statement that could describe Ahmed's movement is: Ahmed moves from the sixth floor above ground level down to the second floor below ground level.

Answer:

A

Step-by-step explanation:

Answer:

The answer is 15

Step-by-step explanation:

i took the test

Answer:

80 inches

Step-by-step explanation:

Pythagorean theorem

Answer:

B. $6,870

Step-by-step explanation:

Calculate how much money they earned from tickets then subtract the cost of making and that's their balance:

(1007×10)-3200=

10070-3200=

$6,870

B. $6,870

Final answer:

After calculating the total proceeds from selling tickets to 1,007 attendees at $10 each, the balance of the line of credit used to fund the play's production ($3,200) will be a positive $6,870.

Explanation:

The question pertains to a fundraiser calculation for Betsy's high school play. To determine the balance of the bank account after ticket sales, we must calculate the total proceeds from selling tickets to the attendees and then adjust the balance of the line of credit that was originally used to fund the production.

The production cost is $3,200.00, and tickets are sold at $10 each. With 1,007 people attending, the total ticket proceeds will be 1,007  imes $10 = $10,070. Since the school used a line of credit to pay for the play, the proceeds will pay off this balance. Hence, after depositing the ticket sales, the balance is:

Balance after deposit = Ticket proceeds - Production costs
= $10,070 - $3,200
= $6,870 (Credit balance)

The correct balance of the bank account after the play's opening night is therefore $6,870 (Option B).

Answer:

what is the question

Step-by-step explanation:

plsss give brainliest

The correct answer is  Calvin is correct because he correctly applied the quotient of powers rule.

The correct option is (D).

Calvin is correct because he correctly applied the quotient of powers rule.

According to the quotient of powers rule, [tex]\( \frac{a^m}{a^n} = a^{m - n} \).[/tex]

So, in this case:

[tex]\[ \frac{r^{-5}s^{-3}}{r^8s^{-2}} = r^{-5 - 8}s^{-3 - (-2)} = r^{-13}s^{-1} \][/tex]

Then, when you raise this expression to the power of -4:

[tex]\[ (r^{-13}s^{-1})^{-4} = r^{-13 \times -4}s^{-1 \times -4} = r^{52}s^4 \][/tex]

Nadine's approach would result in:

[tex]\[ \left( \frac{r^{-5}s^{-3}}{r^8s^{-2}} \right)^{-4} = \left( \frac{e^{-20}s^{-12}}{r^{32}s^8} \right) \][/tex]

Which is incorrect.

So, the correct answer is D. Calvin is correct because he correctly applied the quotient of powers rule.

complete question given below:

Nadine and Calvin are simplifying the expression ( (r^(-5)s^(-3))/r^8s^(-2) ). Nadine claims the first step to simplify the expression is to raise the numerator and denominator to the power (e^(-20)s^(-12))/r^(32)s^8 . Calvin claims the first step to simplify the expression is to apply the quotient of powers to get (r^(-13)s^(-1))^-4.

Who is correct and why?

A.Nadine is incorrect because she should have applied the quotient of powers rule first.

B.Nadine is correct because she correctly applied the power of a product rule.

C.Calvin is incorrect because he should have applied the power of a product rule first.

D.Calvin is correct because he correctly applied the quotient of powers rule

Answer: B

Step-by-step explanation:

The answer is 32.2102.

In June, Cory begins to save money for a video game and a TV he wants to buy in December.

He starts with $22. Each month he plans to save 10% more than the previous month.

How to find how much money will he have at the end of December?

the given scenario is an application of a geometric sequence with

a1=$20 and  r= 22/2 *100 = 1.1

. Since December is 6 months from June, then to find out the 6th term.

As, a2 = a1 * r = 20 × 1.1 = 22

a3= a2 *r = 22 * 1.1 = 24.2

a4= a3 * r = 24.2 * 1.1 = 26.62

a5=a3 * r = 26.62 *1.1 = 29.282

a6= a4*r = 29.282 * 1.1 = 32.2102.

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Answer:

-3+1/3=-8/3 or-2.6,    5+6+7x+3=7x+14

Step-by-step explanation:

Answer:

-3+1/3= -2.66666666667      

Step-by-step explanation: