1. Andy's little brother has a toy box that contains 2 blue race cars, 1 green race cars, and 1 red race car. Andy removes 2 race cars from the toy box without looking. If Andy remove a blue car first and does not replace it, which best represents the sample space for the cars Andy Removes? *
10 points
A{ ( blue, green), ( blue, red) }
B{ ( blue, blue), (blue, green), ( green, red)}
C{ ( blue, blue), ( blue, green), (blue, red) ]
D{ (blue, red), ( green, red), (blue, blue)}

Answer:

602.88cm²

Step-by-step explanation:

Find the image of the cylinder attached

Surface area of a cylinder = A=2πrh+2πr²

r is the radius = 4cm

Height h = 20cm

Substitute

A = 2πr(r+h)

A = 2π(4)(4+20)

A = 8π(24)

A = 192π

A = 192(3.14)

A = 602.88cm²

Hence the surface area of the cylinder is 602.88cm²

The y-intercept of the function is 50% which represents; (B) the charge of the battery when Ashley left her house

The general format for the equation of a line in slope intercept form is;

y = mx + b

where;

m is slope

b is y-intercept

Now, the y-intercept is defined as the point where the graph line crosses the y-axis or the point at which x is zero.

The slope is defined as the ratio of change of the vertical axis with the horizontal axis.

From the given linear graph, we can see that;

The line intersects the y-axis at y = 50. Thus;

y-intercept = 50

Now, the y-axis represent the percentage charge remaining on the phone battery while the x-axis shows that number of hours since Ashley left her house. Thus;

When the number of hours is zero, the percentage charge remaining on the phone battery is 50%

Read more about y-intercept at; https://brainly.com/question/26249361

#SPJ1

The scale factor was used to enlarge the picture is 31.5/7 or 4.5.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life

here, we have,

A picture is 7 inches wide and 9 inches long.

A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.

By simply taking the width after it was enlarged and dividing it by the width before it was enlarged we can find the scale factor that was used.

In this case it would be 31.5 (width after)/ 7 (width before)

which gives us a scale factor of 31.5/7.

Simplifying would yield a scale factor of 4.5 times.

hence, The scale factor was used to enlarge the picture is 31.5/7 or 4.5.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ1

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

so 14 can go into 28, 2 times and 19 can go into 38 2 times so the techaer can make 2 group with 14 girls and 19 boys in each group.

Step-by-step explanation:

Among the given answer choices, the closest option is "5.6", but the correct answer based on the calculation of population growth rate is approximately 5.054%.

To calculate the population growth rate, we need to consider the net change in population relative to the initial population.

The net change in population is calculated by subtracting the number of emigrants and deaths from the total number of immigrants and births:

Net Change = Immigrants + Births - Emigrants - Deaths

Net Change = 44600 + 35000 - 12567 - 15890

Net Change = 66143 - 28457

Net Change = 37686

Next, we can calculate the population growth rate using the formula:

Rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

Population Growth Rate = (Net Change / Initial Population) * 100

Population Growth Rate = (37686 / 744785) * 100

Population Growth Rate ≈ 5.054%

The population growth rate of this country is approximately 5.054%.

Among the given answer choices, the closest option is "5.6", but the correct answer based on the calculation is approximately 5.054%.

for such more question on Rate

https://brainly.com/question/119866

#SPJ8

Answer:

The graph f(x) was shifted 3 units to the right and shifted 2 units up to get the graph of g(x).

Step-by-step explanation:

From the original graph to the transformed one, we can see that the transformations (x - 3) and + 2 were added to the equation.

The (x - 3) means that the x-value of the vertex will increase by 3, meaning that the graph will shift 3 units to the right.

The +2 will increase the y-value of the vertex by 2, meaning that the graph will move up 2 units.

So, the graph of g(x) relates to f(x) as it is a transformation 3 units to the right and 2 units upwards.

The given statement is true.

Consider linearly independent vectors of \(R_{n}\)

Where n = 2

\(V = \[\begin{array}{ccc}4&\\2\end{array}\right]\)  

\(U = \[\begin{array}{ccc}5&\\6\end{array}\right]\)

Now product of these vectors

UV = 4x5 + 2x6

     = 32

Hence these vectors are not orthogonal.

To learn more about linearly independent vectors visit:

https://brainly.com/question/31328368

#SPJ1

Answer:

no it's not a solution because when you substitute the values of x= -3 and y=7 you won't get the equation

Answer:

The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Example: Here, XYUV=123=4 . So, the scale factor is 4 .

Step-by-step explanation:

:D

Answer:

-9 ≤ y ≤ 8

Step-by-step explanation:

look at the endpoints of the segment; (7, 8) and (-2, -9)

the y-values represent the range and they go from -9 to 8, inclusive

The point where the fountain should be placed is the point of intersection of the three perpendicular bisectors is the center of the circumcircle of the triangle.

If the fountain is to be equidistant from three main roads, it must be located at the intersection of the three perpendicular bisectors of the line segments that connect the three main roads.

What is circumcircle?

A circumcircle is a circle that passes through all three vertices of a triangle. The center of the circumcircle is equidistant from the three vertices, and the radius of the circumcircle is called the circumradius.

The circumcircle plays an important role in geometry, particularly in the study of triangles. In fact, the circumcircle of a triangle is the unique circle that passes through all three vertices, and its center and radius can be used to find other geometric properties of the triangle. For example, the circumcenter (the center of the circumcircle) is the point where the perpendicular bisectors of the sides of the triangle intersect, and the circumradius can be used to calculate the area of the triangle, among other things.

To know more about circumcircle, visit:

https://brainly.com/question/30339957

#SPJ1

Answer:

y = 0

Step-by-step explanation:

4(y + 3) - 8 = 2(y + 2) ← distribute parenthesis

4y + 12 - 8 = 2y + 4 , that is

4y + 4 = 2y + 4 ( subtract 2y from both sides )

2y + 4 = 4 ( subtract 4 from both sides )

2y = 0 , then

y = 0

Answer:

Yasmin will spend $6

Nadia will spend $5.9

Step-by-step explanation:

Step one:

the cost of 5 jars at Central market is $3

the cost of 1 jar = 3/5= $0.6

60 cents per jar

we are told that Valley Market sells jars of jam at 59 cents per jar.

$0.59

Step two:

If Yasmin buys 10 jars from Central Market,

Yasmin will spend = 10*0.6= $6

If Nadia buys 10 jars from Valley Market.

Nadia will spend = 10*0.59= $5.9

The market difference is 6-5.9= $0.1

sin(x) is a mathematical function that calculates the sine of angle x, where x is in radians.

In mathematics, angles are measured in radians or degrees. The symbol π represents the mathematical constant pi, which is approximately equal to 3.14159.

When we say π/2, it means half of the circumference of a circle, which corresponds to 90 degrees.

The inequality "π/2 < 0" suggests that π/2 is less than zero, implying that the angle of 90 degrees is negative. However, this is incorrect.

In the standard coordinate system, angles are measured counterclockwise from the positive x-axis.

Thus, π/2 or 90 degrees lies in the positive direction. The correct relationship should be "π/2 > 0" to indicate that the angle is greater than zero.

Learn more about radians

brainly.com/question/27025090

#SPJ11

Answer:

B

Step-by-step explanation:

Answer:

n= -6, a= 5

Step-by-step explanation:

Label the two equations:

a= -2n -7 -----(1)

-3a +n= -21 -----(2)

Substitute (1) into (2):

-3(-2n -7) +n= -21

Expand:

-3(-2n) -3(-7) +n= -21

6n +21 +n= -21

Simplify, minus 21 on both sides:

7n= -21 -21

7n= -42

Divide both sides by 7:

n= -42 ÷7

n= -6

Substitute n= -6 into (1):

a= -2(-6) -7

a= 12 -7

a= 5

Answer: X is less than or equal to 5.

Step-by-step explanation: The amount of money she spends is either less than 5, or at 5.

The function sequence fn(x) = xn(1 - x) defined on the interval [0, 1] converges pointwise to 0, but it does not converge uniformly.

For any x in [0, 1], fn(x) = xn(1 - x) tends to 0 as n approaches infinity.

To show pointwise convergence, we need to evaluate the limit of fn(x) as n approaches infinity for each fixed x in the interval [0, 1]. Taking the limit of fn(x) = xn(1 - x) as n approaches infinity, we find that the limit is indeed 0 for any x in [0, 1].

However, to demonstrate that the convergence is not uniform, we need to show that for any given ε > 0, there exists an x in [0, 1] and an N ∈ N such that |fn(x) - 0| > ε for some n ≥ N. By considering the behavior of fn(x) near x = 1, we can find a suitable choice of x and ε to invalidate uniform convergence.

Learn more about Converges click here :brainly.com/question/17177764

#SPJ11

Answer:

$5.08

Step-by-step explanation:

Step one:

given data

We are told that a credit card company applies a 6% fee on all transactions under $10

since the cost of coffee bellow $10 that is $4.80, the 6% fee is applicable

so

=6% of 4.80

=6/100*4.80

=0.06*4.8

=$0.288

Step two:

the total fee will be

=0.288+4.80

= $5.08

The first digit can be 1 or 2.

For each one ...

The second digit can be 1 or 2.

For each one ...

The third digit can be 1 or 2.

That's (2•2•2)= 8 different possibilities.

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

The surface charge density on the belt is 100 μC/m.

The surface charge density on an insulating belt moving at a speed of 30 m/s with a width of 50 cm and carrying charge into an experimental device at a rate of 100 μA is being asked.

To calculate the surface charge density, we need to know the charge per unit length of the belt. We can calculate this by multiplying the current by the width of the belt, which gives us 100 μA x 0.5 m = 50 μC/s. Since the belt is moving at a constant speed, the charge per unit length remains constant.

Therefore, we can calculate the surface charge density by dividing the charge per unit length by the belt's width. So, the surface charge density would be 50 μC/s ÷ 0.5 m = 100 μC/m.

Therefore, the surface charge density on the belt is 100 μC/m.

To learn more about surface charge density here:

brainly.com/question/28447120#

#SPJ11

a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
  Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
  Present value of $400 per year for 7 years at 0% (annuity due): $2,800

To find the present values of the ordinary annuities, we can use the formula for the present value of an annuity:

PV = PMT * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present value
PMT = Payment per period
r = Interest rate per period
n = Number of periods

a. $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14]

≈ $2,702.83

b. $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07]

≈ $1,155.54

c. $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value is simply the total amount of payments over the 7 years:
PV = $400 * 7

= $2,800

d. Reworking previous parts assuming they are annuities due:
For annuities due, we need to adjust the formula by multiplying it by (1 + r):

a. Present value of $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14] * (1 + 0.14)

≈ $2,943.07

b. Present value of $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07] * (1 + 0.07)

≈ $1,233.24

c. Present value of $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value remains the same:
PV = $400 * 7

= $2,800

In conclusion:
a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
  Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
  Present value of $400 per year for 7 years at 0% (annuity due): $2,800

To know more about formula visit

https://brainly.com/question/867780

#SPJ11

Answer:

bro said b so b

Step-by-step explanation:

According to the dataset, the mean of Dave’s nightly tips is $144.68

The mean of a dataset is the average value of the dataset

Below is how to calculate the mean of Dave’s nightly tips

Mean is calculated using:

Mean = sum of observations/Number of observations

The sum of observations is:

Sum = 100.85 + 166.57 + 135.74 + 148.12 + 113.94 + 190.13 + 235.31 + 102.57 + 124.02 + 142.40 + 108.60 + 110.50 + 163.82 + 183.01

Evaluate

Sum = 2025.58

The number of observations is 14.

So, the mean is:

Mean = 2025.58/14

Divide

Mean = 144.68

Hence, the mean of Dave’s nightly tips is $144.68

Read more about mean at:

https://brainly.com/question/14532771

The mass of the sun is 4 x 10³¹ times the mass of a golf ball.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

The mass of the sun = 2 x 10³⁰ kilograms.

The mass of golf ball = 0.05 kilogram = 5 x 10⁻² kilograms

Now, Calculate the mass of the sun about the mass of the golf ball as;

The mass of the sun/the mass of a golf ball = 2 x 10³⁰/ 5 x 10⁻²

                                                                   =  4 x 10³¹

So, The mass of the sun is 4 x 10³¹ times the mass of a golf ball.

Learn more about the division method visit:

https://brainly.com/question/1679793

#SPJ1

Answer:

it is 0.8

Step-by-step explanation: to get 56/70 converted to decimal you simply have to divide 56 by 70.

Options:

A.0.25 centimeter = 3 kilometers

B.0.4 centimeter = 8 kilometers

C.0.75 centimeter = 15 kilometers

D.3 centimeters = 60 kilometers

E.6 centimeters = 144 kilometers

Answer:

B, C, D

Step-by-step explanation:

Distance between the two locations :

On map = 0.75 centimeter

Actual = 15 km

Using the scale drawing notation :

On map : actual

0.75 cm : 15 km

Therefore,

Actual / on map

15 / 0.75 = 20

This means :

1 cm on map represents 20 km on land

0.25 cm on map = (20 * 0.25) = 5 kilometers

0.4 cm on map = (20 * 0.4) = 8 kilometers

0.75 cm on map = (20 * 0.75) = 15 kilometers

3 cm on map = (20 * 3) = 60 kilometers

6 cm on map = (20 * 6) = 120 kilometers

Hence, only options B, C and D are correct

Answer:

b,c,d are correct.

Step-by-step explanation:

just shortened the answer above me°∪°

f(4) = 3 and f'(4) = m, where m is the slope of the tangent line to the function f(x) at the point (4, 3).

Since the tangent line passes through (4, 3), we can use the point-slope form of a linear equation to determine the equation of the tangent line. Let the equation of the tangent line be y = mx + b, where m is the slope of the tangent line. We know that the slope of the tangent line is equal to the derivative of f(x) evaluated at x = 4, so m = f'(4).

Substituting the point (4, 3) into the equation of the tangent line, we get 3 = 4m + b.

Since the tangent line also passes through (0, 2), we can substitute these coordinates into the equation of the tangent line to get 2 = 0m + b.

From the above two equations, we can solve for b, which gives us b = 2.

Now we have the equation of the tangent line as y = mx + 2, and we know that it represents the function f(x) at the point (4, 3). Therefore, f(4) = 3.

Finally, we can determine f'(4) by substituting the value of m into the equation of the tangent line. So f'(4) = m.

In summary, f(4) = 3 and f'(4) = m, where m is the slope of the tangent line to the function f(x) at the point (4, 3).

To learn more about tangent lines click here: brainly.com/question/23416900

#SPJ11

Answer:

Hi, I'm Za'Riah! I will gladly assist you with your problem. (see explanation)

Step-by-step explanation:

see image

The quotient from 4,096 divided by 61  is between 66 and 67.