The population of Austin, Texas, was about 494,000 at the beginning of a decade. The population increased by 3% each year. Write an exponential growth model that represents the population y (in thousands) t years after the beginning of the decade. Find and interpret the y-value when t = 10.

Answer:

250 i thoink

Step-by-step explanation:

For making 60 cookies the amount of butter will be 250 decigrams.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a recipe for shortbread cookies calls for 5 grams of butter to make 12 cookies.

The amount of butter for 60 cookies in decigrams will be calculated as,

12 cookies = 5 grams

12 cookies = 50 dg

60 cookies = ( 50 x 60 ) /60

60 cookies = 250 dg

To know more about an expression follow

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Answer:

[tex] \boxed{ \bold{ \huge {\boxed{ \sf{ - 12 {x}^{2} - 5x - 8}}}}}[/tex]

Step by step explanation

[tex] \sf{ - 9 {x}^{2} + 3x - 8 - (3 {x}^{2} + 8x)}[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] \dashrightarrow{ \sf{ - 9 {x}^{2} + 3x - 8 - 3 {x}^{2} - 8x}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ - 9 {x}^{2} - 3 {x}^{2} + 3x - 8x - 8}}[/tex]

[tex] \dashrightarrow{ \sf{ - 12 {x}^{2} - 5x - 8}}[/tex]

Hope I helped!

Best regards!

Answer:

Commutative property of multiplication.

Step-by-step explanation:

This property says that changing the order of factors doesn't change the product.

Here 5×3 will be 15..... If we interchange the places of 3 & 5 , still then the product will remain same i.e. 3×5 = 15

Answer:

C/R = D

Step-by-step explanation:

When you divide rd by r, then r is eliminated and divided into the C

Step-by-step explanation:

I'm going to assume 50.25 was a typo error and it is $0.25 for each extra minute.

For a 10 minute phone call, the first 5 minutes cost $3 and the other 5 minutes cost $0.25 * 5 = $1.25. Altogether it costs $4.25.

For a 15.5 minute phone call, the first 5 minutes cost $3 and the other 10.5 minutes cost $0.25 * 11 = $2.75. Altogether it costs $5.75.

Answer:

1 = 100. 50 2 = 65 . 30

Step-by-step explanation:

just add extra minutes and mins to call okkk

Answer: C. 15x + 12y = 489

Step-by-step explanation: Got it right on edge test

Answer:

C

Step-by-step explanation:

15x+12y=489

Answer:

not sure

Step-by-step explanation:

not sure what you're trying to show?

Answer:

6

——

x+8

Step-by-step explanation:

The quotient of six (6) and the sum of a number and eight (8) is equal to  [tex]\frac{x + 8}{6}[/tex]

In Mathematics, quotient simply means to divide a number by another number without any remainder.

Translating the word problem into an algebraic expression, we have;

The sum of a number and eight = [tex]x + 8[/tex]

Quotient of six (6) and the sum of a number and eight (8) is equal to;

[tex]\frac{x + 8}{6}[/tex]

In conclusion, the quotient of six (6) and the sum of a number and eight (8) is equal to  [tex]\frac{x + 8}{6}[/tex]

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Answer: 22 miles

Step-by-step explanation: Ms. G and Ms. Leahman both bike the same amount on Saturday:

4 miles to go to the city;

2 miles with Mr. Adams;

4 miles back to Bedstuy;

Then, both biked:

4 + 2 + 4 = 10 miles

Now, Mr. Adams bikes:

5 miles to go to the city;

2 miles together with the other two;

5 miles back to Bedstuy;

Then, he biked, in total:

5 + 2 + 5 = 12miles

So, the three of them biked, in total:

10 + 12 = 22

On Saturday, Ms. G, Mr. Adams and Ms. Leahman biked, in total, 22 miles.

Answer:

The answer is yes.

Step-by-step explanation:

All you have to do is substitute the y, which is 5, and the x, which is 2, into the equation. When you solve it the answer in the end will be 5=5, which means that point (2,5) does line on that line.

Answer:

T=3.3 HOURS AFTER THEY LEAVE THEY WILL BE 363 MILES APART

Step-by-step explanation:

internet

Answer: IT is A and C

We can see that the diagonal distance from the fire pit to the tree is 6 units, if you count, with a slope of 1, meaning that we only have to stay on that diagonal.

A third of 6 is 2, so we'll just go 2 units in that diagonal, putting us at the point [tex](4,3)[/tex].

Hope this helps.

頑張って!

Answer:

same as ramen said #13

hope you pass♡

Answer:

(0.7, -1)

Step-by-step explanation:

To find the coordinates for the midpoint you add each coordinate together and divide by 2.

M = ([tex]\frac{1.8 - 0.4}{2}, \frac{-3.4 + 1.4}{2}[/tex])

M = [tex](\frac{1.4}{2}, \frac{-2}{2})[/tex]

M = (0.7, -1)

Answer:

A. 1

Step-by-step explanation:

3(x+1)=-2(x-1)+6

3x+3=2x-2+6

x+3=4

x=1

Answer:

5/11 or 0.4545

Step-by-step explanation:

I think this is correct you just count how , many letters she has in her name (that's gonna be our denominator) and then count how many of those are vowels (our numerator). to change it into a decimal you simply divide the top by the bottom.

Answer:its b) 19

4xl-7l-l-9l

=4x7-9

=28-9

=19

Step-by-step explanation:

g(x) = 3x² + 2

h(x) = 2x + 2

g(h(x)) = g([2x + 2]) = 3[2x+2]² + 2

= 3[4x² + 8x + 4] + 2

= 12x² + 24x + 12 + 2

= 12x²+ 24x + 14

Answer:

Answer= 23

Step-by-step explanation:

The problem would look like this: |(-4)(-6)| - |(2)(1/2)|

if solved it should look like this: |24| - |1|

which is: 24 - 1 = 23

Answer:

35 days

Step-by-step explanation:

A = 14 days

It means per day, work done by A= 1 / 14

A+B = 10 days

Work done by A and B per day = 1 / 10

In what time can B alone do the work?

To solve this, we have

A+B = A alone + B alone

1/10 = 1/14 + B alone

Subtract 1/14 from both sides

1/10 - 1/14 = 1/14 + B alone - 1/14

14-10/140 = B alone

4/140 = B alone

B alone= 1 / 35

Work done of B alone = 1/35

B alone will do the work in 35 days

Answer:

35 days.  

Step-by-step explanation:

A can do the work in 14 days: per day work done by A=1/14

A and B can do the work in 10 days: per day work done by A and B=1/10

Work is done by B per day=1/10–1/14=7/70-5/70=(7–5)/70=2/70=1/35.

So, B takes 35 days.

Answer:

1. 1,2 2,3 ,3,4, 4,5, 5,6              

2.-2,1  -1,-1 0,-2  1,-1 2,1

Step-by-step explanation:

Answer:

2x + 10 = y

Step-by-step explanation:

The term 10 more is plus 10, and 2 times the "number" which we know we can label as "x". 2x + 10 is the equation and we are told that y is the number of points so 2x + 10 = y is the answer.

Hope that helps, and have a great day!

Answer:

k=70

Step-by-step explanation:

to get k by itself you need to multiply k/7 by 7, and you multiply on both sides. 10 times 7 =70

Answer:

Step-by-step explanation:

k/7 = 10

or, k = 7*10

Therefore, k=70.

Answer:

[tex]\sqrt{8.5}[/tex]

Step-by-step explanation:

[tex]\sqrt{8.5}=2.9154759474226502354370764387727915382606991674429859772250...[/tex]

that's clearly between 2.888888.... and 2.999999....

Hello There!

Write out your equation:

Substitute the values in:

Simplify:

Solve:

It is 6.25.

Therefore, your answer is 6 1/4.

Hope This Helps You!

Good Luck :)

Step-by-step explanation:

yes of course...

just like

saying 2=x is equivalent to x=2

similarly x<3 is equivalent to 3>x