Priya and Joe travel the same 16.8 km route. Priya starts at 9.00 am and walks at a constant speed of 6 km/h Joe starts at 9.30 am and runs at a constant speed. Joe overtakes Priya at 10.20 am At what time does Joe finish the route?

Answer:

b

Step-by-step explanation:

it is 3 out of 5 ticks over to the left

A growth mindset is an idea that people are born with certain characteristics and can't change. A growth mindset allows a person to believe they can change themselves, and that abilities and intelligence can be developed over time. A growth mindset helps you learn that mistakes are stepping stones and that you aren't defined as some characteristic (like "dumb").

Step-by-step explanation:

Inverse of p matrix is in picture

i wish it will make u easy to do♥️✌️

Answer:

a = 4

Step-by-step explanation: Given that

ar=2 where a is the first term and is the common ratio.

ar=2 ............1

Also give that a/1-r = 8 where a is the first term and r is the common ratio as well.

a/1-r = 8 ......... 2

From equation 1 make r the subject

ar=2

r= 2/a...........3

Put equation 3 into 2

a/1-2/a =8

a÷1-2/a

a = 8(1-2/a)

a= 8/1-16/a

a/1= 8a-16

a^2= 8a-16

Rewriting the above equation

a^2-8a+16=0

This will eventually be

a^2-8a+16=0

(a-4)^2= 0

a =4

Answer:

71 I THINK

Step-by-step explanation:

since the angles on the base of an isosceles triangle equal each other you would wright 71=x as your equation. there is nothing else to solve so 71 is your answer

Answer:

C. 1/2

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 4)

Point (-8, 0)

Step 2: Find slope m

Answer:

1) y=4x+5,  2) y=-2x+2,  3)y= 4/3x+4

Step-by-step explanation:

1) y=4x+5

2) y=-2x+c

-4= -2(3)+c

-4=-6+c

+6      +6

2=c

y=-2x+2

3) 4-0/0--3

4/3= gradient

y= 4/3x+c

4= 4/3(0)+c

4=0+c

4=c

y= 4/3x+4

Answer:43

Step-by-step explanation:

Answer:

d. 1 1/8

Step-by-step explanation:

-3 -1

---- ÷ -----

8. 3

Keep, Change, Flip.

-3/8 stays the same.

Division becomes multiplication.

-1/3 becomes -3/1

-3. -3. = 9

----- × ----- ------

8. 1. = 8

9/8 = 1 1/8

Answer:

D. 1 1/8

Step-by-step explanation:

Answer:

2.6

Step-by-step explanation:

Divide the numbers, then subtract them

Answer:

$56.82 US dollars

Step-by-step explanation:

Set up a proportion where x is how many US dollars there are in 50 Euros:

[tex]\frac{1}{0.88}[/tex] = [tex]\frac{x}{50}[/tex]

Cross multiply and solve for x:

0.88x = 50

x = 56.82

So, 50 Euros is approximately equal to $56.82 US dollars

Answer:

Step-by-step explanation:

6x^2+4x-42

2(3x^2+2x-21)=0

3x^2+2x-21=0

3x^2+(9-7)x-21=0

3x^2+9x-7x-21=0

3x(X+3)-7(X+3)=0

(3X-7)(X+3)=0

So Answer is (3x-7)(X+3)

Answer:

2 lesson with a remainer of $30

Step-by-step explanation:

$15 + $30 = $45

$45 multipled by 3 would equal 135 witch is $15 over ,

but $45 multiplyed by 2 would equal $90 with a remainer of $30 (jason could buy some McDonlads with that money , lol)

Answer:

some tips

Step-by-step explanation:

- Ratios can include fraction forms, ex; 5/3. using the word 'to', ex; 5 to 3, and using the colon symbol. 5:3. Do not put ratios in number order like least to greatest values, ever, because the order they come in matter. Make sure to always simplify if possible. ex; 5:25 = 1:5 . thats it, if you get any of the points down then you got it.

Answer:

2500

Step-by-step explanation:

Dimensions of first level

Length = Breadth = 75 ft (since it is a square)

It is assumed that a person will occupy [tex]2.25\ \text{ft}^2[/tex]

Area of first level

[tex]75\times 75=5625\ \text{ft}^2[/tex]

When the area of the level is divided by the area of one person then we will get the number of people that can occupy the room or the number of tickets that can be sold.

[tex]\dfrac{5625}{2.25}=2500[/tex]

The number of tickets that can be sold for the first level is 2500.

Answer:0.0499

Step-by-step explanation:

Let x be a random variable that represents the salary for a data scientist.

Given: Average salary for a data scientist [tex]\mu=\$83105[/tex]

standard deviation [tex]\sigma=\$10503[/tex]

Sample size : n= 31

The probability that the mean salary of 31 randomly selected data scientists is less than $80,000.

[tex]P(\overline{X}<80000)=P(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{80000-83105}{\dfrac{10503}{\sqrt{31}}})\\\\=P(z<-1.646)\ \ \ [z=(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(z<1.646)\ \ \ [P(Z<-z)=1-P(Z<z)]\\\\=1-0.9501= 0.0499[/tex]

Hence, the required probability = 0.0499.

Answer:

x=4

Step-by-step explanation:

As the two angles are clearly congruent because of the bisector, we set them equal to each other:

7x=3x+16

4x=16

x=4

Therefore, the value of x is 4 and not 9

Answer:

a) 2.120

b) 1.796

c) 2.807

d) 1.714

e) 1.356

f) 2.262

Step-by-step explanation:

The formula used to compute a confidence interval for the mean of a normal population when n is small is the following. x^^\_ +/-\(t text( critical value)\)s/sqrt(n) What is the appropriate t critical value for each of the following confidence levels and sample sizes? (Round your answers to two decimal places.)

(a) 95% confidence, n = 17

We find our degrees of freedom first

= n - 1

= 17 - 1

= 16

The t critical value using the t table =

2.120

(b) 90% confidence, n = 12

We find our degrees of freedom first

= n - 1

= 12 - 1

= 11

The t critical value using the t table =

1.796

(c) 99% confidence, n = 24

We find our degrees of freedom first

= n - 1

= 24 - 1

= 23

The t critical value using the t table = 2.807

(d) 90% confidence, n = 24

We find our degrees of freedom first

= n - 1

= 24 - 1

= 23

The t critical value using the t table =

1.714

(e) 80% confidence, n = 13

We find our degrees of freedom first

= n - 1

= 13- 1

= 12

The t critical value using the t table = 1.356

(f) 95% confidence, n = 10

We find our degrees of freedom first

= n - 1

= 10 - 1

= 9

The t critical value using the t table =

2.262

Answer:

See below.

Step-by-step explanation:

What you wrote means:

[tex] r = \dfrac{n}{2}(b + H) [/tex]

If that is what you meant, then the answer is:

[tex] \dfrac{2r}{n} = b + H [/tex]

[tex] H = \dfrac{2r}{n} - b [/tex]

On the other hand, if this is what you meant:

[tex] r = \dfrac{n}{2(b + H)} [/tex]

then the answer is:

[tex] 2r(b + H) = n [/tex]

[tex] 2rb + 2rH = n [/tex]

[tex] 2rH = n - 2rb [/tex]

[tex] H = \dfrac{n - 2rb}{2r} [/tex]

Answer:

Step-by-step explanation:

[tex]\frac{n}{2}(b + H) = r\\\\b +H = r * \frac{2}{n}\\\\b + H = \frac{2r}{n}\\\\H = \frac{2r}{n} - b[/tex]

Answer:

2 then the square root of 7 then 9.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

√7,2,9.5

√7=2.645

So

Order the numbers from least to greatest is

2,√7,9.5 is the answer

Answer:

$6.78

Step-by-step explanation:

Add $10 +$6 +$2.75+$3+$5+$10+$10+$4+$12+$5 =$67.75

Now divide $67.75 by 10 which is the number of values you added up

$67.75/ 10 = 6.775

Now round to nearest cent = $6.78

Answer: m= 5/3

Step-by-step explanation: the point were at (-1,2) (-4,-3)

m= y2-y1/ x2- x1

m= -3-2/ -4 (-1)

m= -5/-3

m= 5/3

Answer:

i) 60 trees

ii) 3600 apples

Step-by-step explanation:

50 trees per acre

Total pounds produced per acre ( ideally ) = 70 * 50 = 3500 pounds

Assumption :

lets assume the additional tree = X

Therefore the number of trees planted per acre = ( 50 + x )  where x ≤ 30

calculate average yield per tree =   ( 70 - x )

Total yield per acre = number of trees * average yield per tree

                                 = ( 50 + x ) * ( 70 - x )

                           Y(x)   =  3500 + 20x - x^2

i) Number of trees that should be planted per acre to obtain maximum yield per acre

y'(x) = 20 - 2x = 0   hence X ( number of additional trees ) = 20 / 2 = 10

Number of trees that should be planted per acre = 50 + 10 = 60 trees

ii) Calculate maximum yield

where ; X = 10

number of trees planted per acre = ( 50 + x ) = 50 + 10 = 60

hence maximum yield  = ( 50 + x ) * ( 70 - x ) = ( 60 ) * ( 60 ) = 3600 apples

Answer:

A.

Step-by-step explanation:

Simplify the radical by breaking up the radicand up into a product of known factors, assuming positive real numbers.

Answer:

A)  4[tex]\sqrt15\\[/tex]

Step-by-step explanation:

Start by factoring 240 to its prime factors

√240 = √10 · 24 =√2·5·2·2·2·3

look for pairs of numbers.  There are 2 pairs of 2s, so take those out of the radical

=  2·2√5·3

=  4√15

Answer: N(t) = (2^t)*1500

Step-by-step explanation:

Let's define the hour "zero" as the initial population.

So if N(t)  is the number of bacteria after t hours, then:

N(0) = 1500.

Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1

N(1) = 2*1500 = 3000

after two hours, at t = 2.

N(2) = 2*(2*1500) = (2^2)*1500

After three hours, at t = 3

N(3) = 2*(2^2)*1500 = (2^3)*1500

So we already can see the pattern, the number of bacteria after t hours will be:

N(t) = (2^t)*1500

Answer:

Rs. 7245

Step-by-step explanation:

Given parameters:

Cost price  = Rs. 6300

Percentage profit  = 15%

Unknown:

Selling price = ?

Solution:

If profit is made on a trade, the selling price is higher than the cost price.

 Profit  = Selling price  - Cost price

To find the selling price simply;

  Selling price  =( 1 + [tex]\frac{15}{100}[/tex])  x cost price

  Selling price  = 1.15 x 6300  = Rs. 7245