Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. Jason's account has gone into overdraft. His balance is $-48.82. To get back to a positive balance, he plans to deposit money at a steady rate of $28.55 per week. How much will be in his account after 3 weeks?

Answer:

A) 75°

Step-by-step explanation:

[tex]x=55+50=180[/tex]

[tex]x+105=180[/tex]

[tex]x=180-105[/tex]

[tex]x=75[/tex]

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hope it helps...

have a great day!!

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 4:

The line of regression is [tex]\hat y = a+bx[/tex] where:

[tex]a=\overline y-b \overline x[/tex]

[tex]b=\frac{r*s_y}{s_x}[/tex]

We are given that [tex]\overline y=75[/tex], [tex]s_y=8[/tex], [tex]\overline x=280[/tex], [tex]s_x=30[/tex], and [tex]r=0.60[/tex], therefore our slope, [tex]b[/tex], is:

[tex]b=\frac{r*s_y}{s_x}[/tex]

[tex]b=\frac{(0.60)(8)}{30}[/tex]

[tex]b=0.16[/tex]

Therefore, the slope of the regression line is 0.16, which can be used along with the values of [tex]\overline y[/tex] and [tex]\overline x[/tex] to find the constant [tex]a[/tex]:

[tex]a=\overline y-b \overline x[/tex]

[tex]a=75-(0.16)(280)[/tex]

[tex]a=30.2[/tex]

This means our final regression line is [tex]\hat y = 30.2 + 0.16x[/tex]

Problem 5:

The slope, [tex]b=0.16[/tex], means that for every 1 point earned for a student's pre-exam total, their final exam score will increase by 0.16 points for each point they earned on the pre-exam.

Problem 6:

The y-intercept (or constant), [tex]a=30.2[/tex], means that if a student's pre-exam total were 0, then they would expect to get a 30.2 on the final exam.

Problem 7:

[tex]R^{2}=(0.60)^{2}=0.36=36\%[/tex]

Problem 8:

The fraction of variability (aka. coefficient of determination), [tex]R^2[/tex], means that a certain proportion (or percentage) of the variance in the response variable can be explained by the explanatory variable. In context, this means that 36% of the variance in final exam scores can be explained by the pre-exam scores.

Answer:you put the equations together then add the x’s and 20+10 together then subtract 30 from 10 so it should be -20

Step-by-step explanation:

Answer:

it is (1, 2)

Step-by-step explanation:

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Answer:

[tex]2 \sqrt{180 } - 14 \sqrt{20} + 10 \sqrt{45} - \sqrt{245} \\ 15.65[/tex]

Answer:

-2x^2-6x-15=0

Step-by-step explanation:

Shift the 15 to the other side to get ax^2+bx+c

-2x^2-6x-15=0

Answer:

A or y = -4x

Step-by-step explanation:

2×-4=-8

1×-4=-4

0×-4=0

and so on and so forth

for the trapezoid/trapezium

the formula for finding the area of a trapezoid is A=(a+b)/2*h, and if you didnt know, a and b are always parallel.

for the parallelogram

it will always be b*h, this one is pretty easy to remember, also parallelograms include squares, rectangles, and anything with 4 sides.

the example

lets just say that we are missing a, which is the top one. now we have to fill in the missing little bit marked by a green square. this particular trapezoid is symmetrical, so we dont have to find the other side, but if it wasn´t, then you have to find the other side with the Pythagorean thoream. That is what we are going to do now. We have a and c and we need to find b in a²+b²=c², so plug in our values for a and c

(10)²+b²=(13)²

100+b²=169

now just isolate b and solve

b²=69

how to undo a square is by taking the square root of the other side of the equation

sqrt(69) is about 8.3

sorry this took me forever

Answer:

12

Step-by-step explanation:

cups of strong coffee needed = (number of strong coffee needed / sum of ingredients needed) x 30

sum of ingredients needed = 2 + 3 = 5

2/5 x 30 = 12 cups

Answer:

Yes they are wrong, rational & irrational ones down below.

Step-by-step explanation:

So, lets start this by asking, what is a rational and irrational number?

Rational numbers are literally any numbers that arent pi, e, or other symbols, as well as square roots.

Irrational numbers are exactly the opposite, being the numbers that are symbols, including square roots.

Note that the symbols listed above such as pi are values that are neverending.

Now, using what we know of rational and irrational numbers, let see which answers are rational and which are not.

So, we start off with:

-13/3

I do not see a square root.

I do not see a symbol such as pi either.

It is not a ever going number.(number that continues infinitly)

So -13/3 is a rational number.

Next we have [tex]\sqrt{37}[/tex]

immediatly we tell it has a square root.

So [tex]\sqrt{37}[/tex] is a irrational number.

Next we have 0.1234

This is not a every going number.

There isnt a square root.

And it isnt a symbol.

So 0.1234 is a rational number.

Next we have [tex]-\sqrt{100}[/tex]

Again, we can immediatly know it has a square root.

So  [tex]-\sqrt{100}[/tex] is a irrational number.

Next we have -77

This is not every going.

It doesnt have a square root.

It doesnt have a symbol.

So -77 is a rational number.

Lastly we have   [tex]-\sqrt{12}[/tex]

Like the other ones, we can imediatly tell it has a square root.

So [tex]-\sqrt{12}[/tex] is a irrational number.

Bascially, to answer further questions, here is the criteria for a number being rational:

If one of these criterias are not met, then you know its a irrational number.

Hope this helps! :D

Answer:

OPTION A& D

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Answer:

Area of the image rectangle = 4(Area of the original rectangle)

Step-by-step explanation:

Length of the rectangle given in the graph = 4 units

Width of the rectangle = 2 units

Area of the rectangle = Length × Width

                                    = 4 × 2

                                    = 8  square units

Since, scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

2 = [tex]\frac{\text{Length of the image}}{\text{Length of the original}}[/tex]

Length of the image rectangle = 2(4)

                                                   = 8 units

Similarly, width of the image rectangle = 2(2)

                                                     = 4 units

Area of the image rectangle = 8 × 4

Area of the image = Area of the original × 4

Area of the image = 4(Area of the original)

Area of the image rectangle = 4(Area of the original rectangle)

Answer: I got 16.3 degrees, initial answer was 16.26 I just rounded.

Step-by-step explanation: If you use Tan, Sin or Cos you can find the angle of the triangle. I used Tan which is Opposite side over the adjacent side, so Tan^-1 = (14/48).

Answer:

8.40

Step-by-step explanation: This means the cost of the item to you is $8.4. You will pay $8.4 for a item with original price of $12 when discounted 30%. In this example, if you buy an item at $12 with 30% discount, you will pay 12 - 3.6 = 8.4 dollars.

Answer:

The new total will be $8.40.

Step-by-step explanation:

The 30% off discount gives you $3.60 off of your purchase.

Answer: 4128

Step-by-step explanation:

Answer:

What was the temperature at 4 p.m. each day this week?

(I'm not sure how many answers you can choose.)

Answer:

10.1

Step-by-step explanation:

Answer:

10.1 units

Step-by-step explanation:

Since they have the same x axis you have to find the difference from the y axis. I just add the two if one is positive and the other is negative so 2.9+(-7.2) = 10.1

Answer:

I believe it is 12.

Step-by-step explanation:

Answer:

The formula of a²-b² are as follows:

Step-by-step explanation:

(a-b)(a+b)

(a-b)(a+b) is the answer

Answer:

18 more bags

Step-by-step explanation:

87 + 95 = 182

200 - 182 = 18

Answer:

Vertex means the highest or lowest coordinate in a parabola (and also absolute value)

Here we see the lowest point is (-2,0), so the vertex is (-2,0)

A standard quadratic equation is written as a(x-h)^2+k

h and k are the vertex coordinate h is x and k is y

so by finding the vertex we found that h = -2 and k = 0

so you plug it in

a(x-(-2))^2+0=y

a(x+2)^2=y

when finding a, you take a random point in the graph and plug it in and solve it

lets take (-1,1)

so its a(-1+2)^2 = 1

a(1)^2 = 1

a=1

so the equation will be 1(x+2)^2 = y or (x+2)^2=y (don't need to write the 1)

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

Answer:

m∠FAN = 80°

Step-by-step explanation:

Area of a sector is given by the expression,

Area of the sector = [tex]\frac{\theta}{360}\pi r^{2}[/tex]

Here, θ = central angle subtended by the arc

r = Radius of the circle

By substituting the values from the question,

288π = [tex]\frac{\theta}{360}(\pi )(36)^2[/tex]

θ = [tex]\frac{288\pi }{1296\pi }\times 360[/tex]

θ = 80°

Therefore, m∠FAN = 80° will be the answer.

Answer:

11:40 in the morning

Step-by-step explanation:

Given that for every 550 m, Bella the eagle flies, she is blown back fifty meters by the wind. Her nest is 5 km and she flies 550 m in 1 minutes.

Therefore for Bella to reach her nest which is 5 km (5000 m) away, the required distance (d) she needs to travel is:

d - (d/550)50 = 5000

d - 50d/550 = 5000

500d / 550 = 5000

d = (550 * 5000) / 500 = 5500

d = 5500 m = 5.5 km

speed = distance / time = 550 m / 1 minutes = 550 meters per minute

The time t required to cover 5500 m is:

speed = distance / time

550 meters per minute = 5500 m / t

t =  5500 m  / 550 meters per minute

t = 10 minutes

If Bella lives at 11:30 am in the morning and then travels for 10 minutes to reach her nest, the time Bella will reach her nest is 11:40 am

Answer:

2/6 so the last box

Step-by-step explanation:

2/3 divided into 2 pieces equals 2/6 because thirds are two times the size as sixths.

Answer:

The last box

Step-by-step explanation:

Answer:

6 1/10

Step-by-step explanation:

4,5 + 1,6 = 6,1 = 6 1/10

Answer:

[tex]Volume \ of \ cuboid \ = Length * breadth * height[/tex]

                             = [tex]18*6*9 = 972m^3[/tex]

                           [tex]Surface \ area \ = 2*[(length*breadth) + (breadth * height) + (length * height)][/tex]

                         [tex]2*[(18*6)+(6*9)+(18*9)]\\2*[108 + 54 + 162] = 2 *324 = 648m^2[/tex]

Step-by-step explanation:

1. 60in

2. 24in

3. 56m

4. 66m

Answer:

1. 20 half of 20 is 10(new radius),

10^10 = 100

100 x 3.14 = 314

314 divided by 2 = 157

2. 8 x 8 = 64, 64 divided by 2 ( x 1/2) = 32

half of 8 is 4(new radius)

4 ^4 = 16, 16 x 3.14 = 50.24

50.24 divided by 2 = 25.12

25.12 + 32 = 57.12

3. Half of 7 is 3.5(new radius)

Just find the area of a full circle since two semi circles make a full circle.

3.5^2 = 12.25

12.25 x 3.14 = 38.465,

21 x 7 = 147

147 + 38.465 = 185.465

4. Half of 6 is 3(new radius)

3^3 = 9

9 x 3.14 = 28.26, 28.26 divided by 2 = 14.13

11 x 6 = 66, 66 divided by 2 (x 1/2) = 33

14.13 + 33 = 47.13

5. 81 divided by 4 = 20.25

half of 20.25 is 10.125(new radius)

10.125 x 2 x 3.14 = 63.585 rounded = 63.59

The coordinates of the problem are (2,68)

you are correct!

Answer:

W (3 , 4) or W (3 . -4)

Step-by-step explanation:

W (3 , y), origin (0 ,0)

WO = √(3-0)²+(y-0)² = √9+y²

WO = 5

√9+y² = 5

9+y² = 25

y² = 16

y = ± 4

W (3 , 4) or W (3 . -4)

Answer:

-4

Step-by-step explanation: