John left his house in Irvine at 8:20 AM to drive to a meeting in Los Angeles, 45 miles away. He arrived at the meeting at 9:50 AM. At 5:30 PM, he left the meeting and drove home. He arrived home at 7:45 PM.

Answers

Answer 1
What’s the question?

Related Questions

8^15÷8^−3 im lost i dont get this whole simply thing at all

Answers

8^15 ÷ 1/8^3 = 8^15 x 8^3=8^18

1.8014399e+16

Step-by-step explanation:

So before you can divide the numbers you have to simplify the exponents. You probably learned P(parentheses) E(exponents) M(multiply) D(divide) A(add) S(subtract.

PEMDAS is important because it shows you what order to so something in. Exponents is before divide so you simplify the exponents and you get 8^15= 3.5184372e+13 and 8^-3 = 0.001953125. So after you simplify the exponents you can now divide themNow (3.5184372e+13) ÷ (0.001953125) = 1.8014399e+16

evaluate 1/3(-15+3/2)

Answers

Answer:

-4 1/2

Step-by-step explanation:

1/3(-15+3/2)

1/3(-13 1/2)

1/3(-27/2)

-27/6

-4 3/6

-4 1/2

simplify the expression 3+2^2 / 2+3

Answers

Ans

8 option b.

Step-by-step explanation:

3+4/2+3

=3+2+3

=5+3

=8

A three-person committee is chosen at random from a group of 8. How many different committees are possible?

Answers

8x7x6 = 336. There are 8 possible options for slot 1, then 7 for 2, and 6 for the last slot.

3x^2+11x+6 in factor form

Answers

Answer: (3x+2)(x+3)

Step-by-step explanation: Factor by grouping.

I hope this helps you out.

Answer:

[tex](3x+2)(x+3)[/tex]

Step-by-step explanation:

[tex]3x^{2} +11x+6[/tex]

Let's factor.

[tex]3x^{2}+11x+6[/tex]

This equals

[tex](3x+2)(x+3)[/tex]

Now you got your answer!

Hope this helps!

A snack bar seils scoops of strawberry, chocolate, and
vanilla ice cream. On Monday, the snack bar sold
100 scoops in total of these flavors of ice.cream. The
snack bar sold 3 times as many scoops of chocolate as
it did strawberry and 2 times as many scoops of
vanilla as it did chocolate. How many scoops of
chocolate ice cream did the 'snack bar sell on
Monday?

Answers

Answer:

600/11

Step-by-step explanation:

scoops of

strawberry= x

chocolate= y

vanilla ice cream= z

X+y+z= 100

The snack bar sold 3 times as many scoops of chocolate as it did strawberry

3x= y

X= y/3

and 2 times as many scoops of

vanilla as it did chocolate

2z= y

Z= y/2

X+y+z= 100

Y/3 + y +y/2 = 100

2y + 6y + 3y = 600

11y= 600

Y= 600/11

SimpifyWhat is x to the power of 3 times x to the power 7?

Answers

Answer:

Here is your solution-

x³ times x⁷

means, x³×x⁷

Here you just have to add the powers as aⁿ×aᵐ=aⁿ⁺ᵐ

x³⁺⁷

x¹⁰

x^10 since when multiplying exponents, you add them together

4 times the sum of a number and 8 gives 25

Answers

Answer:

4×(x+8)=25.

use the 4 to multiply the numbers in the bracket.

which is 4x+32=25.

then collect like terms which is...

4x=25-32...

4x=-7.

x=-7/4= -1.75 or -1 whole number 3/4.

whats 5 less than 1 third

Answers

Answer:

-0.66666666666

Step-by-step explanation:

1/3-5/5

Determine the sum of the arithmetic series: 5+18 +31 +44 + ... 161.

Answers

Answer:

1079

Step-by-step explanation:

Hello,

18-5 = 13

31-18=13

44-31=13

161=5+13*12

So we need to compute

[tex]\displaystyle \sum_{k=0}^{k=12} \ {(5+13k)}\\\\=\sum_{k=0}^{k=12} \ {(5)} + 13\sum_{k=1}^{k=12} \ {(k)}\\\\=13*5+13*\dfrac{12*13}{2}\\\\=65+13*13*6\\\\=65+1014\\\\=1079[/tex]

Thanks

The required sum of the arithmetic series 5+18 +31 +44 + ... 161 is 1079.

Given that,
Arithmetic series: 5+18 +31 +44 + ... 161.

The Sum of the series is to be determined.

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values


Here,
From the given series
First term A = 5, Common difference D = 13 and last term L = 161
Last term = An + (n -1)
161 = 5 + (n - 1)13
n - 1 = (161 - 5) / 13
n = 12 + 1
n = 13

Now the sum of an arithmetic series,
S = n /2 (A + L)
S = 13 / 2 (5 + 161)
S = 13 / 2 * 166
S = 13 * 83
S = 1079

Thus, the required sum of the arithmetic series 5+18 +31 +44 + ... 161 is 1079.

Learn more about arithmetic progression here: https://brainly.com/question/20334860
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at the mall myla bought a shirt for 25.36$ a hat for 5.09$ and a belt for 11.45$ howe much did she spend altogether?

Answers

25.36+5.09+11.45= 41.9$ intotal

Answer:

41,9

Step-by-step explanation:

25.36+5.09+11.45

2) 200

3) 20

4) 10

5) 170

6) 55plz help i will mark the brainliest

Answers

Answer:

natural numbers - positive integers (whole numbers)

• 1

• 2

• 3

• 4

• 5

whole numbers - a number without fractions

• 10

• 11

• 12

• 13

• 14

rational numbers - a number that can be expressed as the ratio of two integers

• 1/3 or 0.3333...

• 17

• -34

• 25

• -10

integers - a whole number; a value that is not a fraction

• -5

• 49

• 68

• 439

• 35

Evaluate the expression (7+6i)−(−9−8i) and write the result in the form a+bi.

Answers

Remove the parentheses and combine the like terms:

7 - -9 = 7+ 9 = 16

6i - -8i = 6i +8i = 14i

The answer is 16 + 14i

If you want to go bed a 800 o'clock
at night and set the alarm to get up at
9 in the morning how many hours
sleep would this permt you?

Answers

Answer:

13 hours

Step-by-step explanation:

8:00 plus 4 is twelve ( 12 o'clock )

then you have 9hrs left.

( 4+9=13 )

Total hours worked for Hans Zupp is ___ .

a ) 40 hours 15 minutes
b ) 42 hours 35 minutes
c ) 44 hours 15 minutes
d ) 46 hours 15 minutes

Answers

Answer:

Option (D)

Step-by-step explanation:

Total hours worked of Monday= 4:45 hours + 5:00 hours = 9:45 hours

Total hours worked of Tuesday= 4:45 hours + 4:45 hours = 9:30 hours

Total hours worked of Wednesday= 4:30 hours + 4:30 hours = 9:00 hours

Total hours worked of Thursday= 4:45 hours + 4:15 hours = 9:00 hours

Total hours worked of Friday= 4:45 hours + 4:15 hours = 9:00 hours

Total hours worked = 9:45 + 9:30 + 9:00 + 9:00 + 9:00

                                 = 46:15 hours

                                 ≈ 46 hours 15 minutes

Option (D) will be the answer.

Point P is on line segment OQ. Given OP = 14 and OQ = 16, determine the
length PQ

Answers

Answer:

PQ = 2

Step-by-step explanation:

We know that OQ = OP + PQ. Since OQ = 16 and OP = 14, we know that 16 = 14 + PQ, therefore, PQ = 2.

Question 1 (1 point)
Find the volume of a cube whose side length is 2.5 feet.
Volume
3
S
side 3
Answer:

Answers

Answer:

v=15.625ft³ or 15.63ft³

Step-by-step explanation:

v=s³

v=2.5³

v=15.625

round off to the nearest hundredth

v=15.63ft³

Expresa el siguiente número 14322000000000000 en notación científica *

Answers

Answer:

14322 * 10¹²

1.4322 * 10¹⁶

Step-by-step explanation:

14322000000000000

14322 * 10¹²

1.4322 * 10¹⁶

which of the following must describe an irrational number? (1pt) a number with a nonterminating decimal expansion a number with a non repeating decimal expansion a number with a repeating or terminating decimal expansion a number with a non repeating and non terminating decimal expansion.

Answers

Answer:

a number with a non repeating and non terminating decimal expansion.

Step-by-step explanation:

Irrational numbers are numbers which cannot be expressed as fractions, they are real numbers which cannot be expressed as rational numbers such as the square root of natural numbers other than perfect squares.

Irrational numbers are non repeating, non terminating decimal numbers with no group of the digits repeated. Therefore the decimal expansion does not terminate but continues without repetition example is π.

Need help with this have no idea how to do it

Answers

Answer:

Step-by-step explanation:

x- intercept, vertex (v) and axis of symmetry, parabola form:x²+bx+c

vertex(h,k)

1- f(x)=(x+3)(x-3) change into parabola form

f(x)=x²-9  a=1,b=0 ,c=-9

h=-b/2a=0

k=f(0)=-9

vertex(0,-9) , x intercept is when f(x)=0

(x-3)(x+3)=0 either x-3=0⇒ x=3 or x+3=0 then x=-3

x=3, x=-3 (-3,0) and (3,0)

the x of symmetry is the h of the vertex=0

2-g(x)=(x+1)(x-3)

g(x)=x²-2x-3 a=1, b=-2,c=-3

h=-b/2a⇒-(-2)/2(1)⇒h=1

k=f(1)=1²-2(1)-3⇒k=-4

v(1,-4)

x of symmetry=h=1

(x+1)(x-3)=0

x+1=0⇒x=-1 (-1,0)

x-3=0 ⇒x=3  (3,0)

x intercept :-1,3

3-y=-x(x+6) ⇒y=-x²-6x a=-1,b=-6, c=0

vertex(-3,9)

x intercept:(0,0) and (-6,0)

axis of symmetry =-3

4-g(x)=2(x-5)(x-1) ⇒ 2x²-12x+10 a=2, b=-12, c=10

vertex(3,-8)

axis of symmetry=3

x intercept : (5,0), (1,0)

5) -4x(x+1)⇒-4x²-4x a=-4,b=-4

vertex(-1/2,1)

x of symmetry=-1/2

x intercept : (0,0)(-1,0)

6- f(x)=-2(x-3)² ⇒-2x²+12x-18

vertex(3,0)

x intercept (3,0)

axis of symmetry = 3

Write the fraction 2/5 as an equivalent with the given denominator 25

Answers

Answer:

10/25

Step-by-step explanation:

2/5 = x/25

We need to multiply the bottom by 5 to get to 25

5*5 = 25

What we to the bottom, we do the the top

2/5 * 5/5 = 10/25

Answer:

10/25

Step-by-step explanation:

2/5 = x/25

cross multiply

2 • 25 = 50

5 • x = 5x

set equal to each other

5x = 50

divide both sides by 5

x = 10

calculate the weight of a piece of steel to the nearest tenth of a pound. the diameter is 40" and the thickness is 2​

Answers

Answer:

2513.3

Step-by-step explanation:

cylinder volume = π[tex]r^{2}[/tex]h

cylinder volume = π [tex]20^{2}[/tex](2)

cylinder volume = 2513.27

cylinder volume = 2513.3

Find the area of the isosceles triangle.​

Answers

Answer:

60in^2

Step-by-step explanation:

Area of a triangle = Height x Base X 1/2

Base = 10

Other 2 sides = 13

Now, let's split the Base into 2 parts.

=> 1 part = 5 and 2 part = 5

We can find the height using Pythagorean theorem

=> Isosceles triangle

=> (1 part of the base)^2 + Height^2 = The Hypotenuse^2  = the longer side of a triangle = 13^2

=> 5^2 + Height ^2 = 13^2

=> 25 + Height^2 = 169

=> 25 - 25 + Height ^2 = 169 - 25

=> Height^2 = 144

=> Height = Square root of 144

=> Height = 12

Area = 12 x 10 x 1/2

=> 12 x 5

=> 60 in^2

So, the Area is 60 in ^2

Determine ux and sigma x from the given parameters of e population and sample size.
mu = 86, sigma = 16, n = 64
Suppose a simple random sample of size n = 36 is obtained from a population with mu = 71 and sigma = 6.
A) Describe the sampling distribution of xbar.
B) What is P (xbar > 73)?
C) What is P (xbar 69)?
D) What is P (69.8 < xbar < 72.5)?
1) Choose the correct description of the shape of the sampling distribution of xbar.
A) The distribution is skewed left.
B) The distribution is approximately normal.
C) The distribution is uniform.
D) The distribution is skewed right.
E) The shape of the distribution is unknown.
Find the mean and standard deviation of the sampling distribution of x-.
2) P(x->73) =.
3) P (x- 69) =.
4) P (69.8 < xbar < 72.5) =.

Answers

Answer:

The mean of the sampling distribution  [tex]\mu_{\overline x}[/tex] is 86

The standard deviation of the sampling distribution  [tex]\sigma_x[/tex]  is 2

The mean of the sampling distribution  [tex]\mu_{\overline x}[/tex] is 71

The standard deviation of the sampling distribution  [tex]\sigma_x[/tex]  is 1

B) The distribution is approximately normal.

[tex]\mathbf{P(\overline x >73) = 0.0228}[/tex]

Therefore, the probability that the sample mean is greater than 73 = 0.0228

[tex]\mathbf{P(\overline x \leq 69) = 0.0228}[/tex]

The probability that the sample mean is less than or equal to 69 is 0.0228

[tex]\mathbf{P( 69.8 \leq \overline x \leq 72.5) = 0.8181}[/tex]

Thus, the probability that the sample mean is between 69.8 and 72 is 0.8181.

Step-by-step explanation:

We are to determine the [tex]\mu_{\overline x}[/tex] and [tex]\sigma_x[/tex] from the given parameters of a population and sample size.

Given that :

population mean [tex]\mu[/tex] = 86

population standard deviation [tex]\sigma[/tex] = 16

sample size n = 64

From the central limit theorem's knowledge, we know that as the sample distribution approximates a normal distribution, the sample size gets larger. Thus, the mean of the sampling distribution [tex]\mu_{\overline x}[/tex]  is equal to the population mean [tex]\mu[/tex]

[tex]\mu_{\overline x}[/tex]  = [tex]\mu[/tex] = 86

The standard deviation of the sampling distribution can be computed by using the formula:

[tex]\sigma_{\overline x } = \dfrac{\sigma }{\sqrt{n}}[/tex]

[tex]\sigma_{\overline x } = \dfrac{16 }{\sqrt{64}}[/tex]

[tex]\sigma_{\overline x }= \dfrac{16 }{8}[/tex]

[tex]\mathbf{\sigma_{\overline x } = 2}[/tex]

The mean of the sampling distribution  [tex]\mu_{\overline x}[/tex] is 86

The standard deviation of the sampling distribution  [tex]\sigma_x[/tex]  is 2

Suppose a simple random sample of size n = 36  is obtained from a population with mu = 71 and sigma = 6.

i.e

sample size n = 36

population mean [tex]\mu[/tex] = 71

standard deviation [tex]\sigma[/tex] = 6

From the central limit theorem's knowledge, we know that as the sample distribution approximates a normal distribution, the sample size gets larger. Thus, the mean of the sampling distribution [tex]\mu_{\overline x}[/tex]  is equal to the population mean [tex]\mu[/tex]

[tex]\mu_{\overline x}[/tex]  = [tex]\mu[/tex] = 71

The standard deviation of this sampling distribution [tex]\sigma_{\overline x}[/tex] can be estimated as :

[tex]\sigma_{\overline x }= \dfrac{\sigma }{\sqrt{n}}[/tex]

[tex]\sigma_{\overline x }= \dfrac{6 }{\sqrt{36}}[/tex]

[tex]\sigma_{\overline x } = \dfrac{6 }{6}[/tex]

[tex]\mathbf{\sigma_{\overline x } = 1}[/tex]

The mean of the sampling distribution  [tex]\mu_{\overline x}[/tex] is 71

The standard deviation of the sampling distribution  [tex]\sigma_x[/tex]  is 1

A)

The correct option from the  given question is:

B) The distribution is approximately normal.

B) What is P (xbar > 73)?

i.e

[tex]P(\overline x >73) = P \begin {pmatrix} \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}} > \dfrac{73 -71 }{\dfrac{6}{\sqrt{36}}} \end {pmatrix}[/tex]

[tex]P(\overline x >73) = P \begin {pmatrix} Z > \dfrac{73 -71 }{\dfrac{6}{\sqrt{36}}} \end {pmatrix}[/tex]

[tex]P(\overline x >73) = P \begin {pmatrix} Z > \dfrac{2 }{\dfrac{6}{6}} \end {pmatrix}[/tex]

[tex]P(\overline x >73) = P \begin {pmatrix} Z > \dfrac{2 \times 6 }{6} \end {pmatrix}[/tex]

[tex]P(\overline x >73) = P \begin {pmatrix} Z > \dfrac{12 }{6} \end {pmatrix}[/tex]

[tex]P(\overline x >73) = P \begin {pmatrix} Z > 2 \end {pmatrix}[/tex]

[tex]P(\overline x >73) = 1- P \begin {pmatrix} Z < 2 \end {pmatrix}[/tex]

Using the Excel Function ( =NORMDIST(2) )

[tex]P(\overline x >73) = 1- 0.9772[/tex]

[tex]\mathbf{P(\overline x >73) = 0.0228}[/tex]

Therefore, the probability that the sample mean is greater than 73 = 0.0228

C) What is P (xbar ≤ 69)?

i.e

[tex]P(\overline x \leq 69) = P \begin {pmatrix} \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{69 -71 }{\dfrac{6}{\sqrt{36}}} \end {pmatrix}[/tex]

[tex]P(\overline x \leq 69) = P \begin {pmatrix}Z \leq \dfrac{-2 }{\dfrac{6}{6}} \end {pmatrix}[/tex]

[tex]P(\overline x \leq 69) = P \begin {pmatrix} Z \leq \dfrac{-2 \times 6 }{6} \end {pmatrix}[/tex]

[tex]P(\overline x \leq 69) = P \begin {pmatrix} Z \leq \dfrac{-12 }{6} \end {pmatrix}[/tex]

[tex]P(\overline x \leq 69) = P \begin {pmatrix} Z \leq -2 \end {pmatrix}[/tex]

Using the EXCEL FUNCTION ( = NORMSDIST (-2) )

[tex]\mathbf{P(\overline x \leq 69) = 0.0228}[/tex]

The probability that the sample mean is less than or equal to 69 is 0.0228

NOTE: This text editor can't contain more than 5000 characters so the last part of the question is attached in the image below.

Negative of (-5) does not exist is true or false

Answers

Answer:

Negative of 5 exists

It continues in the left part of a number line...

Hence the answer is false it does exist

Evaluate ( z^2 + 4 ) ( z^2 – 5)

Answers

Answer:

z^4-z²-20

Step-by-step explanation:

( z^2 + 4 ) ( z^2 – 5)

z^4+4z²-5z²-20

z^4-z²-20

Solve the system of linear equation by substitution. Check your solution. x=6y-7 4x+y=-3

Answers

Answer:

X = -1

Y = 1

Step-by-step explanation:

The solution of the equations x = 6y - 7 and 4x + y = -3 will be (-1, 1).

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equation is given below.

x = 6y - 7           ...1

4x + y = - 3       ...2

Simplify the equation, then we have

4(6y - 7) + y = -3

24y - 28 + y = - 3

25y = 25

y = 1

The value of the variable 'x' will be calculated as,

x = 6(1) - 7

x = 6 - 7

x = - 1

The solution of the equations x = 6y - 7 and 4x + y = -3 will be (-1, 1).

More about the solution of the equation link is given below.

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Sarah received a score of 36 points on an exam. The exam consisted of multiple choice questions that were worth 3 points for a correct answer and free response questions that were worth 5 points for a correct answer. If she answered a total of 10 questions correctly, how many of each type of question did she get correct?

Answers

Answer:

Sarah answered 7 multiple choice questions and 3 free response questions correctly.

Step-by-step explanation:

Given that: she has 36 points.

                   3 points each for the multiple choice question (MCQ)

                   5 points each for the free response question (FRQ)

To determine how many of each question was answered correctly. Let the number of MCQ she answered be represented by x and FRQ by y.

  3x + 5y = 36   ............ 1

Since she answered a total of 10 question, then;

  x + y = 10

 x = 10 - y  ................  2

Substitute equation 2 into 1,

3(10 - y) + 5y = 36

30 - 3y + 5y = 36

2y = 6

y = 3

Substitute the value of y in equation 2,

x = 10 - y

  = 10 - 3

  = 7

x = 7, y = 3

Therefore, Sarah answered 7 multiple choice questions and 3 free response questions.

William drove 35 miles per hour for a total of 105 miles. He drove for x hours.
Which equation and solution below describe the situation?

Answers

Answer:

x=35 hrs

1 hour =105

cross mutiply

105÷35=3

The equation that describes the situation is 35x = 105.

What is an Equation?

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

The equations are useful in the determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, and quadratic equations.

William drove 35 miles per hour for a total of 105 miles.

The total miles William drove is 105 miles.

The speed at which he drove is 35 miles/ hour.

The total time he drove is given by x hours.

The equation has to be formed for this situation.

Speed is defined as the distance traveled with respect to time.

35 = 105 / x

35x = 105

This equation describes the given situation.

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The rocket deploys a parachute after 9 seconds and descends at a constant rate of 20 ft/sec. How long does it take to reach the ground

Answers

This question is incomplete, the complete question is;

A rocket is launched straight into the air with initial velocity 200 ft/s. Assume the launch is instantaneous. How high will it go, and how long will that take (use time increments of 0.01 seconds)? G= - 32.2 ft/s² , H₀=0 (the ground)

V(t)=V₀ + g t

H(t)= H₀ + V₀ t + ½ g t²

The rocket deploys a parachute after 9 seconds and descends at a constant rate of 20 ft/sec. How long does it take to reach the ground

Answer:

a) maximum height S is 621.12 ft and time taken to reach it is 6.21 sec.

b) The rocket deploys a parachute after 9 seconds and descends at a constant rate of 20 ft/sec,

Time taken to travel t = 24.79 sec

NOW total time taken = 27.55 sec

Step-by-step explanation:

Given that,

initial velocity u = 200 ft/s

acceleration a = 32.2 ft/s²

vertical displacement ( maximum height) S = ?

final velocity at highest point Ц = 0

NOW from the equation of motion

v² - u² = 2as

we substitute

0² - (200)² = 2 (-32.2) × s

s = 621.12 ft

time taken t = (v -u)/a = (0-200)/-32.2

t = (-200) / (-32.2)

t = 6.21 sec

distance traveled by rocket from t=6.21sec to t=9sec

Δt = (9-6.21) = 2.79sec

s = ut + 1/2at²

s = 0 + 1/2(32.2)(2.79)² = 125.32 ft

Remaining distance = 621.12 ft - 125.32 ft = 495.8 ft

Time taken to travel = t = s/v = (495.5ft) / (20 ft/sec)

t = 24.79 sec

NOW total time taken = 2.79sec + 24.79sec = 27.55 sec

Other Questions
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