For a certain country, the bar graph shows the population of it’s public school students, in millions, and the amount that the country’s government spent on public education, in billions of dollars, for five selected years. Complete part A and B.

A.
Express 2007 student population in scientific notation. (Use the multiplication symbol as needed)


B.
Express the amount that the government spent on public education in 2007 in scientific notation. (Use the multiplication symbol as needed)

Answer:

Answer

Tony:48

Gordan :64

Step-by-step explanation:

[tex]\begin{array}{c|c|c}Age&Gordon&Tony\\------------------&-------&-------\\now&g&t\\when\ gordan\ was\ as\ old\ as\ tony\ is\ now&t(=g-g+t)&t-g+t=2t-g\\\end{array}\\\\\\\\\left\{\begin{array}{ccc}g&=&2*(2t-g)\\g+t&=&112\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}3g&=&4t\\g+t&=&112\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}g&=&\dfrac{4}{3}\\\dfrac{7}{3} t&=&112\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}t&=&48\\g&=&64\\\end {array}\right.\\[/tex]

Proof:

16 years ago, Gordan was 48 and Tony 32.

64=2*32

64+48=112

9514 1404 393

Answer:

 16.25

Step-by-step explanation:

The value of principal P compounded continuously at annual rate r for t years is ...

  A = Pe^(rt)

Then t is ...

  t = ln(A/P)/r

  t = ln(36230/12000)/0.068 ≈ 16.2497

The investment will be worth $36,230 after 16.25 years.

1436 ml

= 1.436 l

( divide by 1000)

Answer:

1,436L ,......................

Answer:

[tex]f(3x)=9x^2-3[/tex]

Step-by-step explanation:

One is given the following function:

[tex]f(x)=x^2-3[/tex]

One is asked to evaluate the function for ([tex]f(3x)[/tex]). Substitute ([tex]3x[/tex]) in place of ([tex]x[/tex]) then simplify. Remember that a number raised to an exponent is the same as that number times itself the number of times that the exponent indicates. One can apply this logic here while simplifying,

[tex]f(x)=x^2-3[/tex]

[tex]f(3x)=(3x)^2-3[/tex]

[tex]f(3x)=(3x*3x)-3[/tex]

[tex]f(3x)=(9x^2)-3[/tex]

[tex]f(3x)=9x^2-3[/tex]

Answer:

About 54

Step-by-step explanation:

To work backwards from average, you need to multiply the average by the total number of cases, which is 4, since there are 3 current cases/seasons and you want the 4th.

59 * 4 =  236

You then subtract the total home runs that you know of from 236.

236 - 55 - 58 - 69 = 54

To find average, you are adding to the total and then dividing by the number of groups, which is essentially mean (mean is basically the average).

Answer: Distance = √145

Concept:

Here, we need to know the concept of the distance formula.    

The distance formula is the formula, which is used to find the distance between any two points.

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Given information

(x₁, y₁) = (4, -9)

(x₂, y₂) = (5, 3)

Given formula

[tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute values into the formula

[tex]Distance = \sqrt{(5-4)^2+(3+9)^2}[/tex]

Simplify values in the parentheses

[tex]Distance = \sqrt{(1)^2+(12)^2}[/tex]

Simplify exponents

[tex]Distance = \sqrt{1+144}[/tex]

Simplify by addition

[tex]Distance = \sqrt{145}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex]\boxed {\boxed {\sf \sqrt {145} \ or \ 12.04}}[/tex]

Step-by-step explanation:

The distance between 2 points is calculated using the following formula.

[tex]d= \sqrt {(x_2-x_1)^2+(y_2-y_1)^2)[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

We know the two points are (4, -9) and (5,3). If we match the values of the points and the coordinating variable, we see that:

Substitute the values into the formula.

[tex]d= \sqrt { ( 5 -4)^2 + ( 3 --9)^2[/tex]

Solve inside the parentheses.

[tex]d= \sqrt {(1)^2 + (12)^2}[/tex]

Solve the exponents.

[tex]d= \sqrt{ 1+144}[/tex]

Add.

[tex]d= \sqrt{145[/tex]

Take the square root.

[tex]d=12.04159458[/tex]

Let's round to the nearest hundredth. The 1 in the thousandth place tells us to leave the 4 in the hundredth place.

[tex]d \approx 12.04[/tex]

The distance between the 2 points is √145 or approximately 12.04.

Answer:

-3

the blue dot on the no line represent -3

Volume = l × b × h

Length = 7m

Breadth = 7m

Height = 9m

Volume = 7×7×9

441m³

Must click thanks and mark brainliest

Answer:

If your test statistic is positive, first find the probability that Z is greater than your test statistic (look up your test statistic on the Z-table, find its corresponding probability, and subtract it from one). Then double this result to get the p-value.

Answer:

The p-value is calculated using the sampling distribution of the test statistic under the null hypothesis, the sample data, and the type of test being done (lower-tailed test, upper-tailed test, or two-sided test). The p-value for: a lower-tailed test is specified by: p-value = P(TS ts | H 0 is true) = cdf(ts)

Step-by-step explanation:

May this answer is helpful for you

Funke has #18.65 LEFT, which was obtained by Subtracting her initial amount from amount spent.

SPENDING:

Total amount = #40

fish fillet = 99k /dozen

vegetable = 3 at #1.25 each

oranges = 27 at 7k each

meat = 4.6kg at #3.20 per kg

To obtain the amount Funke has left, we subtract the total amount of items she purchased from the total amount she has :

Total cost of :

Fish fillet, 1kg = 99K = #0.99

Vegetable, 3kg = 3 * 1.25 = #3.75

Oranges, 27 = 27 * 7 = #1.89

Meat, 4.6 = 4.6 * 3.20 = #14.72

TOTAL AMOUNT SPENT = (0.99 + 3.75 + 1.89 + 14.72) = #21.35

AMOUNT SHE HAS LEFT :

(INITIAL AMOUNT - TOTAL AMOUNT SPENT)

= #40 - #21.35

= #18. 65

Therefore, the amount Funke has left after making the above purchases is #18.65

Learn more about subtraction word problem :

https://brainly.com/question/16479511

Answer:

smallest is 0 and greatest is 6

simple

Answer:

0 and 6

Step-by-step explanation:

Because 0 is means nothing.And the highest number is 6

Answer:

C.3-6

Step-by-step explanation:

Every complex number has a complex conjugate.

Examples is a+bi the conjugate is a-bi,if your adding the two conjugate its going to be 2a and if your subtracting the result is 2bi.And if multiplied it is seen as complex number which are a²+b²

Answer:

9076 cm²

Hope my answer helped you

Answer:

Step-by-step explanation:

If the length of a tree's shadow is 32.25 meters. The height of the tree to the nearest hundredth of a meter will be : 9.84m

Given:

Malika height=1.45 meters

Length =32.25 meters

Width =27.5 meters

Height of the tree=x

Proportion:

1.45 : 32.25 :: x : 27.5

Now let determine the height of the tree

32.25-27.5/1.45=32.25/x

4.75/1.45=32.25/x

Cross multiply

4.75x=32.25×1.45

4.75x=46.7625

Divide both side

x=46.7625/4.75

x=9.84m

Inconclusion  if the  length of a tree's shadow is 32.25 meters. The height of the tree to the nearest hundredth of a meter will be : 9.84m

Learn more here:

https://brainly.com/question/23966984

Answer:

4

Step-by-step explanation:

BC²=AC × DC

or, 8²=16×DC

or, DC = 64/16

or, DC = 4

Answer:

answer 6

Step-by-step explanation:

It has been a long time that i have done that!

[tex]\int\limits^3_2 {\int\limits^2_0 {(4-y^2)} \, dy} \, dx \\\\\\=\int\limits^3_0 {(4-y^2)} \, dy*(2-0)\\\\=2*[4y-\dfrac{y^3}{3} ]^3_0\\\\=2*(12-9)\\\\=6\\[/tex]

Answer:

a negative integer

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

To compare the numbers, divide the first number by the second number.

(7.4 x 10^8)/(2.5 x 10^7) = (74 x 10^7)/(2.5 x 10^7) = 74/2.5 = 29.6

Answer: 30

Answer:

Combined cost C(x) = cx + 4c/(x+1)

minimum C(x) ==> C '(x) = 0

==> c - 4c/(x+1)2 = 0

==> 4c/(x+1)2 = c

==> (x+1)2 = 4

==> x +1 = 2

==> x = 1 mile

Hence she should live 1 mile from work to minimise comined costs.

Step-by-step explanation:

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

you just have to expand the trig. functions into their corresponding values and then finish them off.

Answer:

opt. (d)

Step-by-step explanation:

red blood cell, also called erythrocyte, cellular component of blood, millions of which in the circulation of vertebrates give the blood its characteristic colour and carry oxygen from the lungs to the tissues.

Answer:

Step-by-step explanation:

36°

Answer:

10√2 = x

Step-by-step explanation:

Since the figure is a square, all angles of the square are equal to 90 degrees

The diagonal also bisects the 90 degrees into 2 45 degrees

So you can use special triangles to find x

Ratio of sides of a 45-45-90 triangle is 1: 1: √2

10: 10: 10√2

you can also use pythagorean theorem

10^2 + 10^2 = x^2

100 + 100 = x^2

200 = x^2

10√2 = x

Answer:

12

Step-by-step explanation:

12=12

IM DOING THIS TO GIVE OTHER GUY BRAINLIEST CUZ HE ALSO HELPED ME GET IT RIGHT

Answer:

The shape could be divided into a rectangle and a trapezoid.

b= 9-(5+2)

b= 2

Area= [tex](3.5\times 9)+1/2(b_1+b_2)h[/tex]

[tex]= [31.5+1/2(9+2)(2)] \:units^{2}[/tex]

[tex]=42.5\ units^{2}[/tex]

OAmalOHopeO

Step-by-step explanation:

x=29

y=20

that's the answer

Answer:

6/9 and 10/15

Step-by-step explanation:

they're both 2/3

Answer:

16 rotations

Step-by-step explanation:

500/32 = 15.625

15.625 rounded = 16

hope it helps!

Answer:

∠1 = 116 °  ,  ∠2 = 32°  , ∠3 = 116 ° and ∠4 = 32°

Step-by-step explanation:

∠2 = 32°  (The diagonals of a rhombus bisect pairs of opposite angles)

Opposite sides of a rhombus are parallel ,so

∠2 = ∠4   (Alternate interior angles )

∠4 = 32°

32° + ∠4 + ∠3 = 180° (angle sum property of a triangle)

64° + ∠3 = 180°

∠3 = 180 - 64

∠3 = 116°

∠3 =∠1    (in a rhombus opposite angles are equal )

∠1 = 116°