Car drove 2hours at a speed of 100km per hour & 3 hour at a speed of 50 km per hour . What was the average speed of the car during the trip?

Answers

Answer 1

Answer:

200 kilometers and 150 kilometers


Related Questions

- 2/3 (2 - 1/5) use distributive property

Answers

Answer:

-6/5

Step-by-step explanation:

- 2/3 (2 - 1/5)

Distribute

-2/3 *2 -2/3 *(-1/5)

-4/3 + 2/15

Get a common denominator

-4/3 *5/5 +2/15

-20/15 +2/15

-18/15

Simplify

-6/5

Solve for x, Correct to one decimal place where 0°<x<90°


Sin2x=0,291​

Answers

Answer:

Step-by-step explanation:

Sin2x=0,291​

Sin2x = 2Sinx * Cosx

From the observation deck of a skyscraper, Isabella measures a 67
angle of depression to a ship in the harbor below. If the observation deck is 824 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.

Answers

The horizontal distance from the base of the skyscraper out to the ship is 349.8feet

Angle of elevation and depression

The angle situated above the hill is known as  the angle of depression

Given the following parameters

Height of the harbor = 824 feet

Angle of depression = 67degrees

According to SOH CAH TOA identity:

tan 67 = opp/adj
tan 67 = 824/d

d = 824/tan67
d = 349.8 feet

Hence the horizontal distance from the base of the skyscraper out to the ship is 349.8feet

Learn more on angle of depression here: https://brainly.com/question/12483071


Write an equation in slope-intercept form for the line with slope -3/2
and y-intercept 5.

Answers

Answer: y = -3/2x + 5

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope = -3/2b = y-intercept = 5

y = -3/2x + 5

Answer:

y = -3/2x + 5 totally

Step-by-step explanation:

formula of a square minus b square​

Answers

Answer:

(a+b)(a-b)

Step-by-step explanation:

[tex]\\ \sf\longmapsto (a+b)(a-b)[/tex]

[tex]\\ \sf\longmapsto a(a-b)+b(a-b)[/tex]

[tex]\\ \sf\longmapsto a^2-ab+ba-b^2[/tex]

[tex]\\ \sf\longmapsto a^2-ab+ab-b^2[/tex]

[tex]\\ \sf\longmapsto a^2-b^2[/tex]

According to the question

[tex]\large\bf{\orange{ \implies}} \: \tt \: {a}^{2} \: - \: {b}^{2} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: (a + b) \quad \: (a - b)[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: a \: (a - b) \quad \: b \: (a - b)[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: ab \: + \: ba \: - \: {b}^{2} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: ab \: + \: ab \: - \: {b}^{2} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: \cancel{ab} \: + \: \cancel{ab} \: - \: {b}^{2} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: {b}^{2} [/tex]

What is the common ratio for this geometric sequence?
27, 9, 3, 1, ...

Answers

Answer:

1/3

Step-by-step explanation:

common ratio is

9÷27=1/3

3÷9=1/3

1÷3=1/3

therefore common ratio is 1/3

Answer: 1/3

Step-by-step explanation:

Let us confirm that this is a geometric sequence. 9/27 = 1/3 and 3/9 = 1/3. Thus, the common ratio is 1/3.

what is the answer to EVAULATE 8+-9+-6

Answers

Answer:

11

Step-by-step explanation:

8 + 9 + -6

8 + 9 = 17

17 + (-6) = 11

Answered by Gauthmath

HELP NEEDED PLEASE!!!!!

Answers

Answer:

1^1 + 0^1 =1

Step-by-step explanation:

sin^2 theta + cos^2 theta = 1

sin^2 (pi/2)   + cos^2  (pi/2)  =1

1^1 + 0^1 =1

PLEASE HELP THIS IS DUE ASAP!!!!!!!!!!!!!!

Answers

the answer is 1/12

the first rolling a 4 has a 1/6 chance of happening and half of the numbers on the die are odd, so 1/6*1/2=1/12

Heather has $20 in her purse she earn some money at work and add it to the money in her purse at the end of the day she has $95 in her purse use M as a variable

Answers

Answer:

M=$75

Step-by-step explanation:

I used M for money that Heather earned.

$20+M=$95

Select the correct answer.
Given the following formula, solve for l.



A.

B.

C.

D.

Answers

Please rewrite the question or add a picture for it

Answer:

c

Step-by-step explanation:

took the test so i assume its this question

If f(x) = 4x + 5 and fog(x) = 8x + 13 then find g(x).​

Answers

Answer:

given

f(x).4x+5

fog(x).8x+13

now

fog(x):8x+13

4x+5(g(x)):: 8x+13

g(x):: 8x+13/4x+5

Answer:

g(x) = 2x + 2

Step-by-step explanation:

One is given the following information:

f(x) = 4x + 5f o g (x) = 8x + 13

One is asked to find the following:

g(x)

Remember, (f o g (x)) is another way of representing a composite function. A more visual way of representing this composite function is the following (f(g(x)). In essence, one substitutes the function (g(x)) into the function (f(x)) in places of the varaible (x). Thus, represent this in the form of an equation:

f(g(x)) = 8x + 13

Substitute the given infromation into the equation:

4(g(x)) + 5 = 8x + 13

Solve for (g(x)) in terms of (x). Remember to treat (g(x)) as a single parameter:

4(g(x)) + 5 = 8x + 13

Inverse operations,

4(g(x)) + 5 = 8x + 13

4(g(x)) = 8x + 8

g(x) = (8x + 8) ÷ 4

g(x) = 2x + 2

Step 3: Write the equation of the line that passes through the point (4,−1)
(
4
,

1
)
that is parallel to the line 2−3=9

Answers

Answer:

-

Step-by-step explanation:

-

The equation ^2 −4+^2 +2=−4
a. Is a parabola
b. Is an ellipse
c. Is a hyperbola
d. Is a circle
e. None of the above

Answers

Answer:

Step-by-step explanation:

None. Your notation is unclear.

A local rental car agency has 200 cars. The rental rate for the winter months is 60%. Find the probability that in a given winter month fewer than 140 cars will be rented. Use the normal distribution to approximate the binomial distribution.

Answers

Answer:

[tex]P(Z\leq2.89)=0.9981[/tex]

Step-by-step explanation:

Sample size [tex]n=200[/tex]

Rental Rate [tex]R=60\%[/tex]

Probability =(P<140)

Generally the equation for mean of distribution is mathematically given by

[tex]\mu=nR\\\\\mu=200*0.60\\\\\mu=120[/tex]

Generally the equation for Standard deviation of distribution is mathematically given by

[tex]\sigma=\sqrt{npq}[/tex]

[tex]\sigma=\sqrt{200*0.60*0.40}[/tex]

[tex]\sigma=6.9[/tex]

Therefore

Z-score for x=140 is

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

[tex]Z=\frac{140-120}{6.9}[/tex]

[tex]Z=2.89[/tex]

From table

[tex]P(Z\leq2.89)=0.9981[/tex]

Rewrite the polynomial in the form ax+by+c and then identify the values of a, b, and c.

x -- 1 -- 2y

Answers

Answer:

a=1, b=-2,c=-1

Step-by-step explanation:

1*(x)+(-2)*y+(-1)*1. a=1, b=-2,c=-1

Find the function G defined by G(x) =5x+3 find G(-1)

Answers

Answer:

G(-1) = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

Identify

G(x) = 5x + 3

Step 2: Evaluate

Substitute in x [Function G(x)]:                                                                         G(-1) = 5(-1) + 3Multiply:                                                                                                             G(-1) = -5 + 3Add:                                                                                                                   G(-1) = -2

Answer:

G = -2

Step-by-step explanation:

Plug in -1 for x.

5(-1) + 3

-5 + 3

-2

G = -2

12. Convert 30.283° into a degree-minute-second format.
O A. 18° 16' 98"
B. 18° 28' 30"
C. 30° 16' 58"
D. 30° 28' 30"

Answers

D 30°28’30”
Non of the above it’s correct.
The correct answer is 283/60 =4°71’
71-60=1

4°+30°+1°= 35°

Answer 35°01’00”

The angle of 30.283° in a degree-minute-second format will be 30° 16' 58". Then the correct option is C.

What is conversion?

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The angle is given below.

⇒ 30.283°

Convert 30.283° into a degree-minute-second format. Then we have

⇒ 30° (0.83 x 60')

⇒ 30° 16.98'

⇒ 30° 16' (0.98 x 60'')

⇒ 30° 16' 58"

The angle of 30.283° in a degree-minute-second format will be 30° 16' 58". Then the correct option is C.

More about the conversion link is given below.

https://brainly.com/question/9414705

#SPJ2

Solve for x^2=18
Please help

Answers

Answer:

See below

Step-by-step explanation:

x^2 = 18

x = 18 sqrt

x = 4.24 or 4.2 (rounded to the nearest tenth)


Please help with this just tell me A B C or D.

Answers

Answer:

The answer is D.

[tex]3x {}^{2} - 10x - 1 = 0[/tex]

Step-by-step explanation:

[tex]x = \frac{5 + 2 \sqrt{7} }{3} [/tex]

Divide each term of 5+2√7 by 3 to get 5/3 + 2/3√7.

[tex]x = \frac{5}{3} + \frac{2}{3} \sqrt{7} [/tex]

[tex]x = \frac{2 \sqrt{7 + 5} }{3} [/tex]

or

[tex]x = 3.43[/tex]

find the scale factor and ratio of perimeters for a pair of similar octagons with areas 49 ft^2 and 64 ft^2​

Answers

Answer:

scale factor: 1.16

perimeters: 21.84 ft and 25.36 ft


Suppose $12,000 is deposited into an account paying 5.5% interest, compounded continuously.
How much money is in the account after five years if no withdrawals or additional deposits are
made?

Answers

Answer:

$15798.4

Step-by-step explanation:

We will have to use this formula A = Peᵃᵇ

A = Final amount

P = Initial amount (12,000)

e = Mathematical constant: 2.7183

a = Interest rate (5.5% or 0.055)

b = Years

So our equation will look like this

A = 12,000e⁵ ⁰·⁵⁵

A = 12,000(2.7183)·²⁷⁵

A = 12,000(1.316533)

A = 15798.396

A lady wearing a McDonalds t-shirt with a delicious-looking Big Mac on it asks which fast food restaurant is your favourite. This leads to which type of bias?


a) Response Bias

b) Sampling Bias

c) Measurement Bias

d) Non-response Bias

Answers

The correct answer is a Response Bias

What is the shape of the cross section?

Answers

Answer:

Step-by-step explanation:

Triangular cross-section.

Answer:

it is a triangle cross-section

hope this answer helps you

Plz make me a brainlist

Carol is having a hard time understanding the central limit theorem, so she decides to do her own experiment using the class data survey collected at the beginning of class on the number of hours a student takes during her Spring 2019 BUSI 2305 course. The data file has a total number of 54 students where the average is 10.8 with a standard deviation of 3.15. She sets out to collect the mean on 8 samples of 6 students. Based on this what are the total possible samples that could occur based on the population

Answers

Answer:

25827165

Step-by-step explanation:

from the question that we have here

the total population = 54 students

the sample size = 6 students

So given this information carol has to pick the total samples from the 54 students that we have here

the total ways that she has to do this

= 54 combination 6

= 54C6

= [tex]\frac{54!}{(54-6)!6!}[/tex]

= 25827165

this is the total number of possible samples that could occur given the total population of 54 students.

how would I solve this and what is the answer.

Answers

Answer:

b is -6 or -10

Step-by-step explanation:

[tex] \frac{1}{b} = \frac{1}{b - 12} + \frac{ {b}^{2} + 16b + 48}{ {b}^{2} - 12b} \\ \\ \frac{1}{b} = \frac{b + ( {b}^{2} + 16b + 48)}{b(b - 12)} \\ \\ b - 12= b + ( {b}^{2} + 16b + 48) \\ {b}^{2} + 16b + 60= 0 \\ (b + 6)(b + 10) = 0 \\ b = - 6 \\ and \\ b = - 10[/tex]

If (x+2) is a Factor x^3 + 2x^2 + 2x + k then find the value of K.​

Answers

Answer:

4

Step-by-step explanation:

if x+2 is a factor of the above expression then,

x=-2

so putting the value of x in above expression we get,

(-2)^3+2×(-2)^2+2×(-2)+k=0

or,-8+8-4+k=0

k=4

Answer:

Step-by-step explanation:

If (x + 2) is a factor of a polynomial then ( - 2 ) is the zero of that polynomial ⇒ ( - 2 )³ + 2( - 2 )² + 2( - 2 ) + k = 0 ⇒ k = - 4

i provided the question

Answers

Answer:

(0, 3)

Step-by-step explanation:

y = 3 is the horizontal tangent to y = x^2+3, and passes the parobala at (0, 3)

Mary is thinking of a mystery number. She reduces it by 15% then subtracts 5. The result is 29. Determine the mystery number

Answers

Answer:

40

Step-by-step explanation:

Let x represent the mystery number.

Create an equation to represent the situation, then solve for x:

0.85x - 5 = 29

0.85x = 34

x = 40

So, the mystery number is 40.

I need help completing this problem ASAP

Answers

4/(√x - √(x - 2)) × (√x + √(x - 2))/(√x + √(x - 2))

= 4 (√x + √(x - 2)) / ((√x)² - (√(x - 2))²)

= 4 (√x + √(x - 2)) / (x - (x - 2))

= 4 (√x + √(x - 2)) / (x - x + 2)

= 4 (√x + √(x - 2)) / 2

= 2 (√x + √(x - 2))

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