what do you know to be true about the values of a and b​

Answer:

960 degrees

Step-by-step explanation:

16pi/3 times 180/pi

16/3 times 180

16 times 60= 960

hope this helps!!

Answer:

168

Step-by-step explanation:

e2020

The coliseum has a volume of roughly 152.25π cubic inches. It is safe to say that the bowl may not be able to hold the 2022 cubic inches of water.

To determine if the coliseum will hold 200 boxy elevation of water, we need to first calculate its volume.

The coliseum is shaped like half a basketball, which means it's a semicircle. The formula for the volume of a semicircle is

V = (2/3) πr3

where V is the volume and r is the compass.

The periphery of the basketball is 9 elevation, so the compass is half of that, or4.5 elevation. We can now substitute this value into the formula

V = (2/3) π(4.5) 3

V = (2/3) π(91.125)

V = 152.25 π boxy elevation

Thus, the coliseum has a volume of roughly 152.25π cubic inches. It is safe to say that the bowl may not be able to hold the 2022 cubic inches of water.

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Answer:

The bowl will hold about 190.76 cubic inches of water, which is not enough water for the tadpole to survive.

Step-by-step explanation:

(The formula we are using is in the photo)

The first step for us to do is to turn the diameter into a radius, to do this we divide the diameter by 2, which will be 4.5 in this case

V≈ (2/3)(3.14)(4.5^3)

V≈ 190.755

Round to nearest tenths place

V≈ 190.76 cubic units of water

This is lower than 200 cubic units of water, so this is not enough to keep the tadpole alive.

(hope this is any help to anyone!!)

Answer:

Step-by-step explanation:

The terminal point P(x, y) on the unit circle determined by the given value of t = 9π/2 is (0, -1).

A terminal point is a point at which a line or curve ends. An example of a terminal point is the point where the line x=5 ends. This point is 5 on the x-axis and has no y-value because the line does not extend beyond that point.

Another example of a terminal point is the point where the circle x2 + y2 = 25 ends. This point is (5,0), where x=5 and y=0. This means that the circle has a radius of 5 and the point (5,0) is the end of the circle.

The unit circle is centered at the origin (0, 0) and has a radius of 1. To find the terminal point with an angle of 9π/2, use the trigonometric functions sine (sin) and cosine (cos).

By calculating the x-coordinate of the point. This can be done using cosine:

x = cos(9π/2)

Since cosine of an angle of 9π/2 is equal to 0, the x-coordinate of the point is 0.

Calculate the y-coordinate of the point. This can be done using sine:

y = sin(9π/2)

Since sine of an angle of 9π/2 is equal to -1, the y-coordinate of the point is -1.

Therefore, the terminal point P(x, y) on the unit circle determined by the given value of t = 9π/2 is (0, -1).

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Answer: A

Explanation:

This is a right triangle. In a right triangle, to know the length of sides, we can use the Pythagorean Theorem.

Pythagorean Theorem:

Where

c is the hypotenuse (side opposite to 90 degree angle)

a and b are the two legs of the triangle

We put the known info into the formula and figure out "c", the unknown side:

The length of the unknown side is 13 inches

The value of x is 4.

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

Given:

In ΔCDB and ΔEAB

<CDB = <ABE    (alternate interior angle)

<DBC = <EAB    (alternate interior angle)

By AA similarity criteria

ΔCBD ~ ΔEAB

Now,

EB/ CD= EA/CB

6/x-1 = 4/x-2

6X-12= 4X-4

2x= 8

x=4

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Answer:

y = \(\frac{24}{\sqrt{x} }\)

Step-by-step explanation:

given y varies inversely as \(\sqrt{x}\) then th equation relating them is

y = \(\frac{k}{\sqrt{x} }\) ← k is the constant of variation

to find k use the condition y = 8 when x = 9 , then

8 = \(\frac{k}{\sqrt{9} }\) = \(\frac{k}{3}\) ( multiply both sides by 3 to clear the fraction )

24 = k

y = \(\frac{24}{\sqrt{x} }\) ← equation of variation

To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:

7x + 21 = 7x + 35

Subtracting 7x from both sides, we get:

21 = 35

This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.

However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.

Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:

7(5 - 3) = 14

Therefore, the missing number is 14, which corresponds to answer option B.

Answer:

Total Bill = 4006 dollars

Step-by-step explanation:

A cell phone company charges a flat fee of 20 dollars plus 3 cents a call.

If there was a total of 200 calls for the month, the total charge by the cell phone company will be.

Let me convert all to cent first

100 cent = 1 dollar

20 dollar =20 *100

29 dollar = 2000 cent

Charge by the company for a call is 2003 cent

Let me put down the equation.

1 call = 2003 cent

200 calls =( 200 calls* 2003cent)/1 call

200 calls = 200 * 2003cent

200 calls = 400600 cent

Let's convert back to dollar

100 cent = 1 dollar

400600 cent = 400600/100

400600 cent = 4006 dollars

Answer:

If Zaira spent 32 hours in the first week. We subtract 32 from 55. 55-32=23. That means she worked 23 hours in the second week.

Answer:

21 + 5

Step-by-step explanation:

A negate minus a negative equals a positive

Answer:

(-5)-21

Step-by-step explanation:

use the cummutitive property to make a new equation out of the original one to get (-5)-21

Answer:

$24.50

Step-by-step explanation:

$35 - 30% = $24.50.

Thus, that is the answer.

Hope this helps!

Answer- $24.50

$35 - 30% is $24.50.

Gorgi saved $10.50 as well.

Hope this helps!

Answer:

27/4

Step-by-step explanation:

Multiply both sides by 9/(-4).

9/−4 * −4/9 f = 9/−4 * −3

f = 27/4

Answer:

h = height of the shape

Step-by-step explanation:

Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.

If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.

The possible outcomes when two coins are flipped are;

head - head = HH

tail - tail = TT

Head and tail = HT

Tail and head = TH

The probability of getting two heads = 1/4

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;

Expected value = (68 flips) x (1/4 probability of getting HH) = 17

The probability of getting two tails = 1/4

Expected value = 68 x 1/4 = 17

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The cost of each one small box of oranges is $7 and one large box of oranges is $13.

Given,

Matt sold 3 small boxes and 14 large boxes and got $203

Ming sold 11 small boxes and 11 large boxes and got $220

We have to find the cost of each small box and large box of oranges.

Let the small box be x and large box be y.

Matt sold equation will be

3x+14y=203 -------------(1)

Ming sold equation will be

11x+11y=220 ------------(2)

Now we solve the equation simultaneously, to get the value of x and y.

Multiplying equation 1 by 11 we get,

33x+154y=2233 ---------(3)

Multiplying equation 2 by 3, we get,

33x+33y=660 -----------(4)

Subtracting equation 3 and 4, we get

33x+154y=2233

33x+33y=660

-      -        -

------------------------

0x+121y=1573

--------------------------

121y=1573

y=1573/121

y=13

Substituting the value of y in equation 1 we get

3x+14y=203

3x+14x13=203

3x+182=203

3x=203-182

3x=21

x=21/3

x=7

Therefore, The cost of small orange box is $7 and cost of large orange box is $13.

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Answer:

-3/5

Step-by-step explanation:

You move down 3 from the top point.

Then you move right to the bottom point.

Answer:

12:52

Step-by-step explanation:

almost every card game has 52 cards, you have a 23% chance to draw a face card of any kind.

There are a king, queen, and jack for each of the four different suits: hearts, spades, clubs, and diamonds. The four suits have 13 cards each, for a total of 52 cards. Therefore, your chance of drawing a face card out of a deck of cards upon choosing the card at random is 12 out of 52, or about 23%.

According to the given data the value is 22.

Addition is a basic mathematical operation that involves combining two or more numbers to get a total or sum. It is typically denoted by the symbol "+" and can be performed on a variety of numerical values, including whole numbers, decimals, fractions, and even negative numbers.

The value of the addition for 2+4+8+8=22

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is △ABC equilateral?  well, we dunno, however let's check for all sides' length.

\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-2}) ~\hfill AB=\sqrt{(~~ -6- (-3)~~)^2 + (~~ -2- 2~~)^2} \\\\\\ ~\hfill AB=\sqrt{( -3)^2 + ( -4)^2} \implies AB=\sqrt{ 25 }\implies \boxed{AB=5}\)

\(B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2}) ~\hfill BC=\sqrt{(~~ 0- (-6)~~)^2 + (~~ -2- (-2)~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 6)^2 + ( 0)^2} \implies BC=\sqrt{ 36 }\implies \boxed{BC=6} \\\\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2}) ~\hfill CA=\sqrt{(~~ -3- 0~~)^2 + (~~ 2- (-2)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -3)^2 + (4)^2} \implies CA=\sqrt{ 25 }\implies \boxed{CA=5}\)

well, not quite.

Answer:

The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.

The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.

If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).

Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.

Solving for x, we get x=2/3.

Therefore, the cocoa types A and B are mixed in the proportion 2:1.

Answer:

Third option is the correct answer

Step-by-step explanation:

\( \overline {DB} \:bisects \:\angle ABC\)

Answer:

x+2_3x_x=2^2

2_3x=4

3x=4+2

x=6÷3

×=2 is ans

Answer:The growth rate of the number of bacteria x(t) is given by the equation:

Step-by-step explanation:

The growth rate of the number of bacteria x(t) is given by the equation:

x(t) = 10000me^(-100mt)

This equation is derived from the original equation V = 10000 - 100mt by solving for x(t) and assuming x(0) = 10000*m.

Answer:

The surface area of cone A is;

Explanation:

Given that the scale factor of cone A to cone B is;

If the surface area of cone B is 860 ft^2;

The since they are similar, the surface area of the two cones can be related using the formula;

Therefore, the surface area of cone A is;

The Emily soccer team has the higher ratio of wins to losses.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of win to loss of Emily soccer team = 9 : 12

Ratio of win to loss of Grant soccer team = 10 : 15

9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60

10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60

If 60 games are losses, then 45 games are wins for Emily soccer team.

If 60 games are losses, then 40 games are wins for Grant soccer team.

Higher ratio is for Emily soccer team.

Hence higher ratio of wins to losses is for Emily soccer team.  

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Answer:

10.5

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

2x-9=12

2x=12+9

2x=21

x=21/2

x=10.5