Here are the approximate populations of three countries, expressed in scientific notation: Panama: 4 × 10 6 ; Peru: 3.2 × 10 7 ; Thailand: 7 × 10 7.

Decide what power of 10 to put on the label for the rightmost tick mark of this number line so that all three countries’ populations can be distinguished.

Answer:

m∠B = 70.0° (nearest tenth)

Step-by-step explanation:

Sine Rule for Angles

[tex]\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Given:

Substituting the given values into the formula to find m∠C:

[tex]\implies \sf \dfrac{\sin 40^{\circ}}{13}=\dfrac{\sin C}{19}[/tex]

[tex]\implies \sf \sin C=\dfrac{19\sin 40^{\circ}}{13}[/tex]

[tex]\implies \sf C=\sin^{-1}\left(\dfrac{19\sin 40^{\circ}}{13}\right)[/tex]

[tex]\implies \sf m \angle C=69.96086904^{\circ}[/tex]

Interior angles of a triangle sum to 180°

[tex]\implies \sf m \angle A+ m \angle B+m \angle C=180^{\circ}[/tex]

[tex]\implies \sf 40^{\circ} + m \angle B+69.960...^{\circ}=180^{\circ}[/tex]

[tex]\implies \sf m \angle B=70.03913...^{\circ}[/tex]

Therefore, m∠B = 70.0° (nearest tenth)

Answer: so you do length times width times height and then you divide by two

Step-by-step explanation:

Answer:

Read the explanation below.

Step-by-step explanation:

2(26x-84.5)

[tex] \small \blue{\boxed{{\colorbox{white}{42}}}} [/tex]

that's my answer

Answer:

A square is a 2D figure with four equal straight sides and four right angles. This means the length and width will be the same, which are both 512.
512 x 512 = 262144 ft2

Step-by-step explanation:

Have a great rest of your day
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Answer:

The correct answer is D) -15, 15

Step-by-step explanation:

(-)15^2 = 225

Therefore, x^2 = 225 = (-)15^2

Answer:

It is (D) -15,15

Explantion:

The square root of 225 is 15

Answer:

A. For sure

Step-by-step explanation:

Product of 12 => 12x
is greater than => [tex]\geq[/tex]
24

so 12x [tex]\geq[/tex] 24

Answer:

c. 12x > 24

Step-by-step explanation:

Only one choice has the "greater than" symbol. It is C.

A number is the variable x.

The product of 12 and a number is 12 × x which is written simply as 12x.

12x is greater than 24.

The symbol for "greater than" is >.

Answer: c. 12x > 24

Answer:

a = 5

b = 2

Step-by-step explanation:

You can use system of equations on this.

Answer:

i say the second one

im sorry if this is wrong

and if this is a test someone is going to report you

Step-by-step explanation:

Answer:

the answer is 30

Step-by-step explanation:

cos60=1/2=>sinx=1/2=>x=30

Answer:

78/100 or if simplified 39/50

Step-by-step explanation:

Add together the 70 cents and 8 pennies to get 78 cents. One dollar is 100 cents so you automatically get the fraction 78/100 and you can simplify by dividing it by 2 in order to get 39/50.

Using a system of equations, it is found that there are 10 baskets that hold 4 meals in the shop.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given by:

There are 25 baskets in the shop, hence:

x + y = 25 -> x = 25 - y

They can hold a total of 70 meals, hence:

2x + 4y = 70

2(25 - y) + 4y = 70

2y = 20

y = 10

There are 10 baskets that hold 4 meals in the shop.

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Answer:

3: equally likely

4: likely

Step-by-step explanation:

Question 3:

the spinner has 1, 2, 3, 4, 5, 6

2, 4, 6 are all even number which is 3 / 6 = 1 / 2

so half a chance can be odd or half even possibility of landing

Question 4:

- 13 yellow

- 4 green

- 3 blue

total marbles: 13 + 4 + 3 = 20

yellow / total = 13 / 20

which is more than half of the marbles are yellow

Answer:

3 / 5

Step-by-step explanation:

Total = 5

Probability of spinning white exactly 3 = 3 / 5

Answer:

a 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 meters

Answer:

cos S = [tex]\frac{7}{25}[/tex]

Step-by-step explanation:

this is a 7- 24- 25 right angle with RS = 7 , then

cos S = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{RS}{QS}[/tex] = [tex]\frac{7}{25}[/tex]

Answer:1.4.

Step-by-step explanation:

Answer:

63+37=100 there you go

that the answer

Answer:

37

Step-by-step explanation:

To find out what the missing number is, you can subtract the known number (63) from the sum (100). 100 - 63 = 37.

Answer: Mean=4.5

Median=5.5

Step-by-step explanation:

MEAN= Add all of the numbers together then divide by 18 to get 4.5

Median=To find the median, first order your data. Then calculate the middle position based on n, the number of values in your data set. If n is an odd number, the median lies at the position (n + 1) / 2. If n is an even number, the median is the mean of the values at positions n / 2 and (n / 2) + 1. This should get you 5.5

The concentration of the hydronium ions in the milk is 5.011×10⁻⁴ if  the container of orange juice has a pH of 3.3.

The pH of a solution is a measurement of the concentration of hydrogen ions in the solution, as well as its acidity or alkalinity. Normally, the pH scale ranges from 0 to 14.

We have:

A container of orange juice has a pH of 3.3.

The pH value = 3.3

[tex]\rm pH = -log[H_3O^+][/tex]

[tex]\rm 3.3 = -log[H_3O^+][/tex]

Removing log:

[tex]\rm 10^{-3.3}=[H_3O^+][/tex]

[tex]\rm [H_3O^+] = 5.011\times10^{-4}[/tex]

Thus, the concentration of the hydronium ions in the milk is 5.011×10⁻⁴ if  the container of orange juice has a pH of 3.3.

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Answer:

2,345

Step-by-step explanation:

This is a simple multiplication problem.

35 × 67 = 2345

Therefore, the system of equations that can be used to model this situation is h= 5 + 24t -16t^2.

The equations that were given in the system above are :

h = 18 + 1.5t

h = 5 + 24t - 16t^2

Note that:

The rate of Speed = distance divided by time

Since Speed = 1.5ft/s

Distance = 18ft

To know the time which was not given, the equation will be:

1.5ft/s = 18ft/t

1.5t=18

The equation to know height h= 18 + 1.5t

Since Graham moved another 5ft  along with a velocity of 24ft/s

Therefore, the system of equations that can be used to model this situation is h= 5 + 24t -16t^2 and as such, option A is correct.

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Answer:

so its A

Step-by-step explanation:

edge 2023

Only the arrangement and order Is different else all are similar

in first method Kiran created a table which produces all values in the order [1,6] to H and T.

In second method Priya created a flow chart type tree diagram which produces all values in order H and T to [1,6]

So they both produce same answers as both are like inverses of each other ,

If you try to understand then think about relations

So they are ought to form same values just in different order .

#2

Second method is more applicable as its more understandable and easier

To determine the maximum number of pens he can buy, we need to consider the total discount of $70 and the cost of each pen, which is $9.

Assume he buys an "x" number of pens.

The total discount he receives can be calculated by multiplying the number of pens by the cost of each pen:

$9x

Based on, the shopkeeper agrees to give him a total discount of $70, so we have the equation:

$9x = $70.

To determine the maximum number of pens he can buy, we need to solve for "x".

Dividing both sides of the equation by $9:

x = $70 / $9.

x= 7.77.

Therefore, the maximum number of pens he can buy is 7.

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Answer:

-0.7071.

Step-by-step explanation:

The value of function sin 315 is -1/2.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Sin 315 degrees can be found by using the unit circle.

The unit circle is a circle with the radius of one centered at the origin of a coordinate plane.

Every point on the unit circle is a point that is one unit away from the origin.

The unit circle is used to help find the exact values of the trigonometric functions at specific angles.

The angle 315 degrees is in the fourth quadrant of the unit circle, so the x-coordinate is negative and the y-coordinate is negative.

Using the x-coordinate, we can calculate the sine to be -1/2.

Hence, the value of function sin 315 is -1/2.

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Answer:

x = 4

y = 2

Explanation:

2(4) = 8 - 2 = 6

3(4) = 12 + 2 = 14

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so then

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1}\implies -2}}[/tex]

so we're really looking for the equation of a line whose slope is -2 and passes through (0 , -2)

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad \qquad \stackrel{slope}{m}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{-2}(x-\stackrel{x_1}{0}) \\\\\\ y+2=-2x\implies y=-2x-2[/tex]

Answer:

12.

Square root = 37,

Step-by-step explanation:

40^2 = 1600

35^2 = 30 * 40 + 25 = 1225

So the requred square is between 35 and 40

38^2 = 1444

37^2 = 1369 - so its this one.

Required difference = 1381 - 1369 = 12.