You start driving north for 48 miles turn right and drive east for another 14miles at the end of driving what is your striaght line distance from your starting point

Answers

Answer 1

Answer: 48 miles

Because north is straight from the starting point and you traveled 48 miles north so 48

Answer 2

Answer:

50 miles

Step-by-step explanation:

If you draw the shape

you'll roughly get the above mentioned one..

so it's a right angle triangle now

using Pythagoras relationship

48^2+14^2=x^2

2304+196=x^2

2500=x^2

x= 50

straight line distance aka displacement is 50 miles

You Start Driving North For 48 Miles Turn Right And Drive East For Another 14miles At The End Of Driving

Related Questions

Please help me with this question please help

Answers

Step-by-step explanation:

Basically plug in all X values given on the table into the graph to get the y values. Now you have a coordinate that you can plot on the graph given.

Starting with $5,000, you invest in an account that pays 2% APR, compounded quarterly, and plan to leave the money there and not touch it for at least 12 years. How much MORE money would you have after 12 years if the interest had been compounded continuously instead? Round to the nearest cent.

Answers

Answer:

$1,352.5

Step-by-step explanation:

A=p(1+r/n)^nt

Where,

P=principal

r=interest rate

n=no of periods

t=time

P=$5,000

r=2%

n=4

t=12

A=5000(1+0.02/4)^4*12

=5000(1+0.005)^48

=5000(1.005)^48

=5000(1.2705)

=$6,352.5

How much more money after 12 years

=$6,352.5-$5000

=$1,352.5

Please answer correctly !!!!!!!!! Will mark brianliest !!!!!!!!!!!!!

Answers

Answer:

$12,000,000

Step-by-step explanation:

The maximum will be the vertex and because this is written in vertex form the vertex will be (5, 12) so the maximum income will be 12 million dollars.

What is the distance between (8, -3) and (4, -7)?

Answers

The answer is 32 units.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!

Answers

Answer:

between step 1 and 2 he left off the 5

If Jodi eats 2 chocolates she will consume 72 calories how many calories will she consume if she eats 5 chocolates

Answers

Answer:

x = 180

Step-by-step explanation:

We can use ratios to solve

2 chocolates        5 chocolates

--------------------- = ------------------

72 calories                x calories

Using cross products

2 *x = 5*72

2x = 360

Divide each side by 2

2x/2 = 360/2

x = 180

Set up a ratio 2/72 = 5/x.

Now use cross-products.

(2)(x) = (5)(72).

2x = 360.

Now divide both sides by 2.

This gives us x = 180.

So, Jodi consumes 180 chocolates when she eats 5 chocolates.

at which value(s) of x does the graph of the function f(x) have a vertical asymptote?

Answers

Answer:

E. x = 4

F. x = -2

Step-by-step explanation:

Asymptotes occur when you have an undefined (a divide by 0 error). So x in the denominator can't equal zero. The 2 values that make the denominator zero are 4 and -2.

given the graph function below which of the following ordered pairs are found on the inverse function

Answers

Answer:

Option A.

Step-by-step explanation:

Graph of function has been given in the figure.

Coordinates of the points lying on this graph will be

x     -2        -1         0          1        2

y    -10       -3        -2         -1        6

Therefore, coordinates of the points which will lie on the inverse of this function will be

x     -10      -3        -2       -1       6

y      -2       -1         0        1       2

Therefore, Option A. will be the answer.

Find the 64th term of the following arithmetic sequence.

29,38,47...

Answers

Answer:

596

Step-by-step explanation:

I typed in 656 as the other person it was but it wasn't

An arithmetic sequence is a sequence where the difference between each consecutive term is the same.

The nth term of an arithmetic series is given as:

a(n) = a(1) + (n - 1)d

The 64th term of the arithmetic sequence is 596.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

common difference = 2

The first term = 2.

We have,

29, 38, 47,.....

First term = 29

a(1) = 29

Common difference:

= 38 - 29

= 9

Now,

The nth term of an arithmetic series is given as:

a(n) = a(1) + (n - 1)d

The value of the 64th term in the arithmetic sequence.

a(64) = a(1) + (64 - ) x 9

a(64) = 29 + 63 x 9

a(64) = 29 + 567

a(64) = 596

Thus,

The 64th term of the arithmetic sequence is 596.

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

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Of the following options, what could be a possible first step in solving the equation 8x + 3 = 2x − 15?

Answers

Answer:

subtract 2x on both sides

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

Move The Terms:

8x -2x =3 = -15

Collect like terms and calculate:

6x = -15-3

Divide both sides of the equation by 6:

x = -3

Final answer:

x= -3

Hope this helped have a good day

A rectangular piece of metal is 25in longer than it is wide . Squares with sides 5in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 750in, what were the original dimensions of the piece of metal

Answers

Answer:

Step-by-step explanation:

Let width be x

Let lenght be 25 + x

Total ax = (25+x) * x

Square with 5in long are cut from the four corner formed = 750in

(25+x-10) * (x-10) * 5 = 750

(15+x) (x-10) = 150

15x-150+x^2-10x =150

15x -150-150+x^2-10x+0

x^2+15x-300=0

(ax^2+bx+c=0)

The volume of each figure. Round answer to the nearest hundredth if necessary

Answers

Answer:

12

Step-by-step explanation:

A scatter plot and a possible line of best fit is shown:

Is the line of best fit accurate for the data shown?

No, because the line does not touch any points
No, because the line should touch every point
Yes, because it touches the y-axis
Yes, because it passes through the center of the data points

Answers

Answer: No, because the line does not touch any points.

Step-by-step explanation:

A line of best fit should pass through most if not all of the points on a graph. If it does not, it can't be considered a line of best fit.

Answer:

Yes, because it passes through the center of the data points.

Step-by-step explanation :

Its D because, the line of best fit does not have to touch any points, it has to be the closest possible to the points.

Add
(4-4i)+(3-2i)
Write as complex number in standard form​

Answers

Answer: (4-4i)+(3-2i) = 7-6i

Step-by-step explanation:

To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 4 -4i and 3 - 2i is 7 -6i. The numbers in standard form will be a + bi, where a is the real part and bi is the imaginary part.

what is the equation of the following line? HELP ASAP

Answers

Answer:

y=5x

.-.-.-.

jhvghcfghvbkhhx

Answer:

D

Step-by-step explanation:

You find the slope by doing [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

The slope is 5

Please answer CORRECTLY !!!!!!!! Will mark BRAINLIEST !!!!!!!!!

Answers

Answer:

-(x+7)/6

Step-by-step explanation:

y = -6x-7

Exchange x and y

x= - 6y-7

Solve for y

Add 7 to each side

x+7 = -6y-7+7

x+7 = -6y

Divide by -6

(x+7) / -6 = -6y/-6

(x+7)/ -6 = y

The inverse is -(x+7)/6

A recipe for stew calls for 2 1/2 pounds of meat, 22 ounces of beans, 14 ounces of carrots, and 2 pounds 6 ounces of potatoes. Which is the weight of the ingredients in the stew in pounds?

Answers

Answer:

7.125pounds

Step-by-step explanation:

if a recipe for stew calls for 2 1/2 pounds of meat, 22 ounces of beans, 14 ounces of carrots, and 2 pounds 6 ounces of potatoes, in order to get the weight of the ingredients in the stew in pounds, we will convert all the units to pounds first and then add them together.

On conversion;

since 1 ounce = 0.0625pounds

Weight of beans in pounds = 22 * 0.0625 = 1.375pounds

Weight of meats = 2 1/2 pounds

Weight of carrots in pounds = 14*0.0625 = 0.875pounds

Weight of potatoes in pounds = 2+(6*0.0625) = 2+0.375 = 2.375pounds

weight of the ingredients in the stew in pounds = 1.375+2.5+0.875+2.375

weight of the ingredients in the stew in pounds = 7.125pounds

f(n) = -11 + 22(n = 1)
Complete the recursive formula of f(n).
f(1) =
f(n) = f(n - 1)+

Answers

Answer:

[tex]f(n)=f(n-1)+22[/tex].

Step-by-step explanation:

Note: In the given function it should be (n-1) instead of (n=1).

Consider the given function is

[tex]f(n)=-11+22(n-1)[/tex]

It is the explicit form of an A.P.

For [tex]n=1[/tex],

[tex]f(1)=-11+22(1-1)=-11+0=-11[/tex]

For [tex]n=2[/tex],

[tex]f(2)=-11+22(2-1)=-11+22=11[/tex]

Common difference is  

[tex]d=a_2-a_1=11-(-11)=11+11=22[/tex]

The recursive formula of an A.P. is

[tex]f(n)=f(n-1)+d[/tex]

Substitute [tex]d=22[/tex] in the above formula.

[tex]f(n)=f(n-1)+(22)[/tex]

[tex]f(n)=f(n-1)+22[/tex]

Therefore, required recursive formula is [tex]f(n)=f(n-1)+22[/tex].

Can anyone help please?

Answers

Answer:

the LCM for 5 and 6 is 30

the LCM for 4 and 8 is 8

What is the equation for the blue line?

Answers

Answer:

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

Step-by-step explanation:

f(x) = ax + b

x = 0 , y = 2

y = 0 , x = 4

[tex]a = \frac{y'' - y'}{x'' - x'}\\a= \frac{2 - 0}{0 - 4} \\a= \frac{2}{-4} = \frac{-1}{2}[/tex]

[tex]0 = \frac{-1}{2} . 4 + b\\0 = -2 + b\\b = 2[/tex]

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

I personally like to start by finding the y intercept first. When x is 0 y is 2

Then to find the actual slope, firstly the line is going in a negative way so the slope is negative. You then do rise over run and you get -1/2


The slope is y=-1/2 +2


Hope this helps!!!!

Please help! Correct answers only please!

You roll a 6-sided die two times.

What is the probability of rolling an odd number and then rolling a 3?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

The probability of rolling a 3 is 1/6 as there is only one face labeled "3" out of 6 total.

Multiplying the two probabilities gives (1/2)*(1/6) = (1*1)/(2*6) = 1/12 (Correct Answer)

The two events are independent from one another.

Find the value of sinY

Answers

Answer:

[tex] \frac{63}{65} [/tex]

Step-by-step explanation:

Please see the attached picture.

Let's find the value of the opposite side, XZ.

Applying Pythagoras' Theorem,

(XZ)² +(XY)²= (ZY)²

(XZ)² +16²= 65²

(XZ)²= 4225 -256 (bring constant to 1 side)

(XZ)²= 3969 (simplify)

Square root both sides,

XZ= [tex] \sqrt{3969} [/tex]

XZ= 63 (simplify)

sinY

= XZ/ ZY

[tex] = \frac{63}{65} [/tex]

Answer:

63/65

Step-by-step explanation:

Researchers are interested in determining whether more women than men prefer the beach to the mountains. In a random sample of 200 women, 45% prefer the beach, whereas in a random sample of 300 men, 52% prefer the beach. What is the 99% confidence interval estimate for the difference between the percentages of women and men who prefer the beach over the mountains?

Answers

Answer:

The 99% confidence interval estimate for the difference between the percentage of women and men who prefer the beach over the mountains is -18.72% < (p₁ - p₂) < 4.72%

Step-by-step explanation:

The given parameters are;

Sample size of the women sample, n₁ = 200

Percentage of the women that prefer beach, p₁ = 45%, [tex]\hat p_1[/tex] = 0.45

Sample size of the men sample n₂ = 300

Percentage of the men that prefer beach, p₂ = 52%, [tex]\hat p_2[/tex] = 0.52

Confidence level of the confidence interval = 99%

α = 1 - 0.99 = 0.01, therefore, α/2 = 0.005

The equation for the confidence interval for the difference between two proportions is given as follows;

[tex]\left (\hat{p}_{1} - \hat{p}_{2} \right )\pm z_{\alpha /2}\sqrt{\dfrac{\hat{p}_{1}(1-\hat{p}_{1})}{n_{1}}+\dfrac{\hat{p}_{2}(1-\hat{p}_{2})}{n_{2}}}[/tex]

[tex]z_{\alpha /2}[/tex] = ±2.57 from the z score tables

Plugging in the vales, we have;

[tex]\left (0.45 - 0.52 \right )\pm 2.57\sqrt{\dfrac{0.45(1-0.45)}{200}+\dfrac{0.52(1-0.52)}{300}}[/tex]

Which gives;

-0.1872 < [tex](\hat p_1 - \hat p_2)[/tex] < 0.0472

The 99% confidence interval estimate for the difference between the percentage of women and men who prefer the beach over the mountains = -18.72% < (p₁ - p₂) < 4.72%.

Consider the system of inequalities and its graph. y ≤ –0.75x y ≤ 3x – 2 On a coordinate plane, 2 solid straight lines are shown. The first line has a negative slope and goes through (negative 8, 6) and (0, 0). Everything below the line is shaded. The second line has a positive slope and goes through (negative 2, negative 8) and (2, 4). Everything to the right of the line is shaded. The section in quadrant 1 is labeled 3, the section in quadrant 2 is labeled 2, the section in quadrant 3 is labeled 1, and the section in quadrant 4 is labeled 4. In which section of the graph does the actual solution to the system lie? 1 2 3 4

Answers

Answer:

4

Step-by-step explanation:

the answer is 4 so d on edge .

Based on the information given regarding the graph, it should be noted that the correct option is graph 4.

What is a graph?

It should be noted that a graph is a diagram that shows the relationship between two or more sets of numbers.

From the information given, the system of inequalities and its graph is given is y ≤ –0.75x y ≤ 3x – 2 and the first line has a negative slope and goes through (negative 8, 6) and (0, 0).

Therefore, the section of the graph where the actual solution to the system lie is in graph 4.

Learn more about graphs on;

https://brainly.com/question/26013847


What is the value of 1 over 2 x+3.4y when x=3 and y = 4?​

Answers

Answer:

The value of the given expression is 27.1

Step-by-step explanation:

We are given an expression of two variable x and y.

We need to find the value of expression at x = 3 and y = 4

So first put x = 3 and y = 4 into expression and simplify

1/2 x 3 (3) + 3.4 x 4

➡️ 1/2 x 27 + 13.6

➡️ 27/2 + 13.6

➡️ 13.5 + 13.6

Now, add both of the numbers together. ( as an addition problem)

Therefore, when you ad the 2 together, you get the total of 27.1

what is the rate of change between (29,9) and (33,10)?

Answers

Answer:

m= 1/4

Step-by-step explanation:

tried helping I don't know if this is the right way to do it for you

If you put $6.24 into a savings account that earns 5%, how much interest will you receive at the end of four years

Answers

Answer:

$1.24

Step-by-step explanation:

5% of 6.24 x 4 .If you're rounding then it's $1.25 (but also who's letting someone open an account with 6 dollars)

(edit:forgot the explaination)

car is moving at 75 kilometers per hour what is its speed in metres per minutes? ​

Answers

Answer:

75 km / h = 1250 m / m;

Solution ⇒ 1250 meters / minute

Step-by-step explanation:

Take a look at the explanation below;

[tex]75 km / hour - m / minute,\\75 km = 75 * 1000 meters = 75000 meters,\\\\1 hour = 60 minutes,\\75 kilometers / hour = 75000 meters / 60 minutes,\\\\75000 meters / 60 minutes = 1250 meters / minute\\[/tex]

Conclusion; 1250 meters / minute

Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer: first one is A, Second is c

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x = 27

Step-by-step explanation:

(whole secant) * (external part) = (tangent)^2

(x+48)* 48 = 60^2

(x+48)* 48 = 3600

Divide each side by 48

x+48 =75

Subtract 48 from each side

x = 75-48

x=27

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