Regina has a bag of marbles that contains 3 blue marbles, 4 red marbles, and 5 yellow marbles. She draws one marble, then replaces it, and draws one more.

There are
possible outcomes.

The probability the first drawn marble will be blue is
.

The probability the second marble drawn will be yellow is
.

So, P(blue, then yellow) =
.

Answer:

20%

Step-by-step explanation:

10 of 50 can be written as:1050To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 1001050 × 100100= (10 × 10050) × 1100 = 20100 Therefore, the answer is 20%

Answer:

y = -4x^2 - 3x + 4

x = 5

y = -4(5)^2 - 3(5) + 4

y = -4(25) - 15 + 4

y = -100 - 15 + 4

y = -114

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Given, cosx+cos

2

x=1

⇒cosx=1−cos

2

x

⇒cosx=sin

2

x

Squaring both sides we get

⇒cos

2

x=sin

4

x .....(1)

⇒sin

4

x−cos

2

x=0

Adding both side 1, we get

⇒sin

4

x+1−cos

2

x=1

∴sin

2

x+sin

4

x=1 Proved.

Answer:

25 ft

Step-by-step explanation:

Side² = 24² + 7² = 625

√625 = 25 ft

The slope of the line tangent to the curve y³-xy²+x³=5 at the point (1,2) is option (B) 1/8.

To find the slope of the line tangent to the curve at the point (1,2), we first need to find the derivative of the curve with respect to x, and then evaluate it at x=1, y=2.

Taking the derivative of both sides of the equation y³-xy²+x³=5 with respect to x using the product rule, we get

3y²(dy/dx) - y² - 2xy(dy/dx) + 3x² = 0

Simplifying this expression and solving for dy/dx, we get:

dy/dx = (y² - 3x²)/(3y² - 2xy)

Substituting x=1 and y=2, we get:

dy/dx = (2² - 3(1)²)/(3(2)² - 2(1)(2))

dy/dx = (4 - 3)/(12 - 4)

dy/dx = 1/8

Therefore, the correct option is (B) 1/8

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Answer:

Step-by-step explanation:

Since there are 985 square feet to cover, and it costs 12.50 per square foot, you multiply 12.50 by 985 to get 12,312.50, the total cost and answer.

Let

y -----> number of quarters

x ----> number of dimes

we have that

the inequality that represents this situation is

Remember that

1 quarter =$0.25

1 dime=$0.10

so

rewrite the variables

see the attached figure to better understand the problem

Part 4b

The solution of the given inequality is the shaded area above the solid line 0.25q+0.10d=8.50

A solution to this inequality could be the point (50,50)

that means

the number of quarters is 50 and the number of dimes is 50

the ordered pair must satisfy the inequality

Verify

Part 4c

we have that

d=25 dimes

substitute in the inequality and solve for q

so

solve for q

the number of quarters must be greater than or equal to 24

Answer:

7>0x

0x<7

Step-by-step explanation:

4x-6>6x-20

-6>2x-20

14>2x

7>x

First full question is this: What is the perimeter of the entire design?

Cameron makes a quilt design using four congruent

triangles as shown below.

ooo

O 46 cm

O 64 cm

O 108 cm

O 147 cm

9 cm

14 cm.    

ANSWER:  B) 64

Answer:

2(x+5)

Step-by-step explanation:

2x+10

1.Factor our the 2 from the equation

2.Your answer after will be 2(x+5)

Answer:

Step-by-step explanation:

Answer:

Determine the domain of the function.

Pick x-values in the domain of the function, and find the y-values that correspond with them. (An endpoint of the domain is a helpful value to pick.)

Plot the points and draw the graph.

Step-by-step explanation:

Answer:

-14x + 6 (option D)

Step-by-step explanation:

To solve the given equation, you first need to distribute the negative 3.

So, you need to multiply

(4x)(-3)  ;  (-2)(-3)

(4x)(-3)= -12x

(-2)(-3)= 6

So, your new, distributed, equation would be:

-12x + 6 - 2x

If we combine like terms (-12x - 2x), our new equation will be:

-14x + 6

This question is incomplete

Complete Question

In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?

a) 2x + 3x + 9

b) 2x + 3 + 9

c) 2x + 3x + 9x

d) 2 + 3x + 9

Answer:

a) 2x + 3x + 9

Step-by-step explanation:

Let the number of points shots a player scores = x

In a free throw, the player scored 9 points = 9

The player also scored a number of 2-point shots = 2x

In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half = 3x

The expression represents the total number of points the player scored in the game =

2x + 3x + 9

The values for the inequality in vertex form is y < -1.5(x - 1)^2 + 4.5

The equation for a parabolic function in vertex form is given by y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

The vertex of the parabolic path of the drinking fountain is (1, 4.5). So, h = 1 and k = 4.5.

Substituting the values for h and k into the equation:

y = a(x - 1)^2 + 4.5

Now, we need to determine the value of a using the point

(x, y) = (2, 4)

So, we have

a(2 - 1)^2 + 4.5 = 4

Evaluate

a = -1.5

So, we have

y = -1.5(x - 1)^2 + 4.5

Express as inequality

y < -1.5(x - 1)^2 + 4.5

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Complete question

The path of a drinking fountain is designed to reach a maximum height of 4.5 feet after 1 second. The spout is at a height of 4 feet after 2 seconds. If the water pressure decreases, the water does not reach the intended height. Complete the values for the inequality in vertex form to describe the points that are less than the projected path. y__a(x – h)2 + k

Answer:

Step-by-step explanation:

The path of a drinking fountain is designed to reach a maximum height of 4.5 feet after 1 second. The spout is at a height of 4 feet. If the water pressure decreases, the water does not reach the intended height.

Complete the values for the inequality in vertex form to describe the points that are less than the projected path.

y

✔ <

a(x – h)2 + k

a =

✔ –0.5

h =

✔ 1

k =

✔ 4.5

The answer will be option C (3.90 cm).

To find the diameter, we need to determine the exact length reading on the main scale and then add the Vernier scale reading. We know that 10 divisions of the Vernier scale coincide with 9 divisions of the main scale.

If the zero of the Vernier scale lies slightly to the left of 3.2 cm on the main scale, then we can assume that it lies between the 3rd and 4th division of the main scale. Since the 4th division of the Vernier scale coincides with a main scale division, we can determine that the length reading on the main scale is 3.3 cm.

Next, we need to determine the Vernier scale reading. Since the 4th division of the Vernier scale coincides with a main scale division, the reading on the Vernier scale is 0.1 cm. Adding the main scale reading (3.3 cm) and the Vernier scale reading (0.1 cm), we get a total length reading of 3.4 cm.

Since the cylinder is tightly placed between the jaws of the callipers, we can assume that this length reading is equal to the diameter of the cylinder. Therefore, the diameter of the cylinder is 3.4 cm. The answer is closest to option C (3.90 cm).

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The volume of the gas approximately directly proportional to its number of moles of gas when both temperature and pressure are constant.

V∝ n at constant P and T

V = constant × (n)

Vn = constant

This can be mathematically stated as follows: As before, we can anticipate what will change to the volume of the a sample of gas as we adjust the number of moles using Avogadro's law.

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Formula to calculate combinations is given by -

nCr=[n !]/[r ! * (n-r) !]

where,

nCr = number of combinations

n = total number of objects in the set

r = number of choosing objects from the set

Now, according to given -

n = 10 people

r = 5 callers

Hence,

Number of possible combinations = nCr

= 10C5

= (10!)/[5! * (10-5)!]

= 252

Thus, 252 different people could have made successful calls to the radio station.

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According to Descartes' Rule of Signs, there is 1 positive real zero and 2 or 0 negative real zeroes of the polynomial.

Descarte's Rule of Signs determines the number of real zeros in polynomial functions.

This indicates that -

The number of positive real zeros in the polynomial function f(x) is less than or equal to an even number depending on the sign change of the coefficients.

The number of negative real zeros in f(x) is an even number equal to or less than the number of sign changes of the coefficients of f(-x) terms.

Here, the polynomial function is given as -

\(P(x)=x^{3}-x^{2} -x-5\) ----- (1)

We have to find out the number of positive and negative real zeros that  the given polynomial can have.

The given polynomial already has its variables in the descending powers. So, we can easily determine the number of sign changes in the coefficients of P(x).

So, the coefficients of the variables in P(x) are -

1, -1, -1, -5

From above, we see that -

There is a sign change in the first and second variable coefficients

There is no sign change in the second and third variable coefficients

There is no sign change in the third and fourth variable coefficients

According to Descartes' Rule of Signs, there can be exactly three positive real zeros or less than three but an odd number of zeros.

So, we can determine that the number of positive real zeroes of the given polynomial can be 1.

To find out the negative real zeroes of the given polynomial, we have to find out P(-x) and determine the sign changes in the variable coefficients of P(-x).

From equation (1), we can write P(-x) as -

\(P(x)=x^{3}-x^{2} -x-5\\= > P(-x)=(-x)^{3}-(-x)^{2} -(-x)-5\\= > P(-x)=-x^{3}-x^{2} +x-5\)----- (2)

So, the coefficients of the variables in P(-x) are -

-1, -1, +1, -5

From above, we see that -

There is no sign change in the first and second variable coefficients

There is a sign change in the second and third variable coefficients

There is a sign change in the third and fourth variable coefficients

According to Descartes' Rule of Signs, since there are two sign changes of the coefficient variables, there can be two negative real zeros or less than two but an even number of zeros.

So, we can determine that the number of negative real zeroes of the given polynomial can be 2 or 0.

Thus, according to Descartes' Rule of Signs, there is 1 positive real zero and 2 or 0 negative real zeroes of the polynomial.

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That would be central angels !

Please mark me, I'd like to get to virtuoso.

Answer:

3 Feet

Step-by-step explanation:

The reason why it is 3 Feet is that 22 - 19 = 3. (Another anwser is 19 + 3 = 22)

Answer:

y = 2x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = A (1, 7 ) and (x₂, y₂ ) = B (- 3, - 1 )

m = \(\frac{-1-7}{-3-1}\) = \(\frac{-8}{-4}\) = 2 , then

y = 2x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (1, 7 )

7 = 2(1) + c = 2 + c ( subtract 2 from both sides )

5 = c

y = 2x + 5 ← equation of line

ANSWER

92 miles

EXPLANATION

Let us make a sketch to represent the problem:

From the diagram, A is the starting point, B is the point she met her grandmother and C is the point she met her friend.

To find how far she is from her starting point, we have to simply subtract AB from BC.

That is:

BC - AB

= 212 - 120

= 92 miles

That is how far she is from her starting position.

The diameter of the small volcano 'Pico' would be = 8km

An isoline is defined as the line found on a map that has constant value of either distance, temperature or rainfall.

The isoline that is used in the given map above = 2000m.

The number of lines that surrounds the pico volcano = 4

Therefore the diameter of the volcano = 2000×4 = 8000m

But 1000m = 1km

8000m = 8km

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Answer:

Step-by-step explanation:

No relationship i belive

|| ▼ Answer ▼ ||

Option (A) 4 x + 89.95 = 628.35; x = 134 dollars and 60 cents

|| ✪ Solution ✪ ||

Total cost of the trip was $628.35, Anja paid $89.95 as a flat fee, and paid extra for the four tooth fillings, the equation that represents this situation is:

\(4x+89.95=628.35-- > (1)\)

The solution to equation (1) is as follows:

\(4x=628.35-89.95=538.4\)

\(x=\frac{538.4}{4} =134.6\)

\(x=134.6\)

x = $134 and 60 cents

Conclusion: The answer is Option (a).

Hope this helps!

If you have any queries please ask.



Answer:uhhhhhhhhhhhhhhhhhhh 14

Step-by-step explanation:

The answer to the nearest tenth of a second is 40.0 seconds.

To solve this problem, we need to know the length of the perimeter of a baseball field. According to official regulations, the distance between each base is 90 feet, so the perimeter of a baseball field is 360 feet.

Now, we can use the formula distance = rate x time, where distance is 360 feet, and rate is 9 feet per second. We can solve for time by dividing both sides of the equation by the rate:

time = distance / rate
time = 360 / 9
time = 40 seconds

Therefore, it takes you 40 seconds to run the perimeter of the baseball field. To find the answer to the nearest tenth of a second, we need to round the answer. Since the next decimal place after the tenths is a hundredth, we need to look at the second decimal place. If it is 5 or greater, we round up, otherwise, we round down. In this case, the second decimal place is 0, so we round down. Therefore, the answer to the nearest tenth of a second is 40.0 seconds.

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Answer: He plans to buy 28 tiles.

Step-by-step explanation:

Given: Dimensions of floor = 6-by-5 feet

Since area of rectangle = length x width

Then , area of floor = 6 x 5 square feet = 30 square feet

Dimension for vanity  2-by-2.5-feet , area of vanity = 2 x 2.5 sq. feet = 5 sq. feet

Area of floor for tiling = 30 square feet -  5 sq. feet

= 25 square feet

Area of 1 tile = 1 x 1 = 1 square  feet

Number of tiles required to cover 25 sq. feet =  25÷1=25

10 percent extra = 10% of 25+25 = 2.5+25=27.5 ≈28

Hence, he plans to buy 28 tiles.