which coordinates represent a translation of B (1,2) 3 units to the left and 2 units up

The student has to plug y=2x+4 into 3x+y=9 to solve for the system of equations

Answer:

Step-by-step explanation:

The friend solved

The value of w is 38400 when the value of c is 6 as per the concept of a proportional relationship.

Given:

We have to find the value of w at c = 6.

If c = 6, then the value of a becomes a = 48 times (6 divided by 3)

Therefore, the value of a can be evaluated as,

a = 48 x 6/3

a = 48 x 3

a = 144

To find the value of w, rearrange the value of 'a' in the multiple of 9.

For that, divide 144 by 9.

144/9 = 16.

Now, multiply 16 by 2400.

The final value of w = 2400 x 16

w = 38400

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Answer:

B. Zero

Step-by-step explanation:

The slope of the line is in the the first two quadrants and is horizontal, meaning it has zero slope.

Answer:

Zero slope :)

Step-by-step explanation:

A zero slope is a horizontal line. When there is a zero slope, y will be equal to a constant. :)

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Mary should pour around 3.7 liters or 226.08 in³ volume of water in the vase.

Given Information and Formula Used

Radius of the cylindrical vase, r = 3 inches

Height of the cylindrical vase, h = 8 inches

The formula for the volume, V of a cylinder is given as,

V = πr²h

Here, r is the radius of the cylinder and h is the height of the cylinder.

Calculating the Volume

Substituting the given values of r and h in the formula for the volume of cylinder, we get

Volume, V = π(3)²(8)

Using π = 3.14, we have,

V = 3.14(9)(8)

V = 226.08 cubic inches

Volume in Liters

Since, 1 Liter = 61.0237 cubic inches,

1 cubic inch = 1/61.0237 liters

⇒ 226.08 cubic inches = 226.08/61.0237 liters

⇒ 226.08 cubic inches ≈ 3.07 liters

Thus, Mary needs to pour approximately 3.07 liters volume of water in the vase.

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The value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have:

The current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms.

As we know,

V = IR

V = (3 + j2)(4 - j3)

[tex]\rm V=\left(3\cdot \:4-2\left(-3\right)\right)+\left(3\left(-3\right)+2\cdot \:4\right)j[/tex]

j² = -1 (complex part)

After simplification:

V = 18 - j  volts

Thus, the value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.

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The correct answer is option B which is we need ∠L ≅  ∠R to prove congruency.

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

According to the SAS theorem which means Side Angle Side, The angle which is included between the two sides must be congruent.

Here we are given that

KL = NR

JL = MR

Now in the figure, we can clearly see that the angle included between JL & KL is L & the angle included between NR & MR is R.

So for the triangles to be congruent by SAS, angle L must be congruent to angle R.

∠L=∠R

Therefore the correct answer is option B which is we need ∠L ≅ ∠R to prove congruency.

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Answer: option b

Step-by-step explanation:

Answer:

First Option

Step-by-step explanation:

First, we will find the equation for the total cost of the tickets.

Given x = Cost of 1 adult ticket

y = Cost of 1 Child ticket

Total Cost of tickets at $40:

2x + 4y = 40

To find which graph represent the cost of the tickets,

we can substitute x = 0 to find y and vice-versa.

If x = 0 ,

[tex]2(0) + 4y = 40\\4y = 40\\y = \frac{40}{4} \\= 10[/tex]

So when x = 0 , y = 10 which gives the coordinates (0,10).

Now if y = 0,

[tex]2x+4(0) = 40\\2x = 40\\x = \frac{40}{2} \\= 20[/tex]

So when y = 0 , x = 20 which gives the coordinates (20,0)

This shows that this particular line passes through these 2 points and therefore the answer is the first option.

Answer: A i just took the test

Step-by-step explanation:

Answer:

ABCD-DEFG
Mark as brainlist pls!

Answer: C

Step-by-step explanation:

[tex]75=\frac{d+94}{2}\\ \\ 150=d+94 \\ \\ d=56[/tex]

The discriminant is 164 and there are two real solutions.

What is Quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax^2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

We can find the discriminant as shown below:

x^2+14x+8=0

a=1, b=14, c=8

Discriminant=b^2-4ac

=(14)^2-4*1*8

=196-32

=164>0

As the discriminant is positive and greater than zero. So, there are two real and distinct solution.

Hence, discriminant is 164 and two real solution.

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Answer:

Hence the expression. [tex](y-6)(y-2)=y^{2} -8x-12[/tex]

Step-by-step explanation:

[tex]$$\begin{array}{r}y-6 \\\times \quad \underline{y-2} \\-2 y-12 \\\underline{y^{2}-6 y} \\y^{2}-8 y-12\end{array}$$[/tex]

Answer:

16.8

Step-by-step explanation:

3x+2y

3(4)+2(2.4)

12+4.8

16.8

Answer-

-1/2, -4

Step-by-step explanation:

A, E

Did the math to find the solution earlier, got right xoxo :)

The system of equations have 2 solutions

The system of equations is given as:

-1/3x² = 5/6 + 1/3y²

5y² = 25/2 - 5x²

Next, we plot the graph of the system of equations.

From the attached graph, the equations intersect at two points

Hence, the system of equations have 2 solutions

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Leo's water is at a greater temperature. And Manoj's water is closer to freezing.

The temperature refers to the degree of hotness ant coldness of the substance.

Water freezes at 0 °C.

Manoj's water is 3 °C.

Leo's water is 7 °C.

Leo's water is at a greater temperature.

Manoj's water is closer to freezing.

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According to the information, it can be inferred that the correct inequality is Mallory > Eva (option D).

To identify who is closer to the surface of the water we must read the distance that each of the characters is.

In this case, the person closest to the surface is Eva, who is 5 feet from the surface.

Now we must identify which inequality corresponds to reality. In this case the inequality that is correct is:

This inequality is correct because Mallory is further from the surface than Eva.

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Answer:

[tex]\begin{cases}x=-5\\y=-7\end[/tex]

Step-by-step explanation:

[tex]\begin{cases}-x-2y=19\left(1)\right\\-x-y=12\left(2)\right\end[/tex]

(2)-(1)

[tex]y=-7[/tex]

Sub into (2)

[tex]-x+7=12\\x=-5[/tex]

Solutions:

[tex]\begin{cases}x=-5\\y=-7\end[/tex]

The value of the unknown length is 24

Represent the unknown length with x.

So, we have the following equivalent ratio:

30 : 30 + x = 25 : 45

Express as fraction

30/30 + x = 25/45

Simplify the fraction

30/30 + x = 5/9

Cross multiply

150 + 5x = 270

Evaluate the like terms

5x = 120

Divide by 5

x = 24

Hence, the value of the unknown length is 24

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Therefore, the equation of circle is: [tex](x+3)^{2}+(y+5)^{2} = 100[/tex]

Here we know that[tex](h,k) = (-3,5)[/tex]but we are not given the radius.

However, we can find the radius by using the distance formula.

[tex]\sqrt{x^{2} +y^{2} }[/tex], where [tex]x=x_{1} -x_{2}[/tex] and [tex]y=y_{1} -y_{2}[/tex]

Putting the values, we get:

[tex]\sqrt{8^{2} +6^{2} }[/tex]

The radius comes out to be:

[tex]r=10[/tex]

An equation of the circle with center [tex](h,k)[/tex] and radius r is

[tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex]

Now, substituting the values, we get:

[tex](x--3)^{2} +(y-5)^{2} = 10^{2}[/tex]

Therefore, the equation of circle is:

[tex](x+3)^{2}+(y+5)^{2} = 100[/tex]

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Pound is the unit of measure of passengers car weight

According the statement

The weight of passengers car is 4.5 times 10 superscript 3 units.

from this it is clear that the in simple terms the weight become 4.5 * 10^3

AND

the term 10^3 is used when we measure the weight in pounds.

So, Pound is the unit of measure of passengers car weight.

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Answer:

B (It isn't in the shaded region)

Answer:

x=28.93(rounded) x=28.929(not rounded)

Step-by-step explanation:

Step-by-step explanation:

25/3÷x=7/3÷8.1

25/3×8.1=7/3×x

135/2=7/3×x

x=135/2×3/7

x=405/14=28.929

First statement shows sample ,second shows population, third shows sample, fourth shows population, fifth shows sample, sixth shows sample, seventh shows population, eight shows sample.

Given eight statements which shows the variables in research of alcholic consumption.

Population is anentire group about which we want to find the conclusions.

Sample is a part of population for which the conclusions are drawn. The size of sample may varry with the effectiveness and the confidence level needed.

First statement is a sample because it defines a number of people.

Second statement is a population as it shows all the people fro age 18 to 25.

Third statement is a sample as it defines a percentage of people.

Fourth statement is a population as it contains all the workers.

Fifth statement is a sample because it shows number of restaurant workers.

Sixth statement is a sample because it shows a definite number.

Seventh statement is a population as it includes all the milkweed plants.

Eight statement is a sample as it contains a definite percentage.

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The probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.

Given mean of 30 minutes and standard deviation of 7.5 minutes.

In a set with mean d and standard deviation d. , the z score is given as:

Z=(X-d)/s.

where d is sample mean and s is standard deviation.

We have to calculate z score and then p value from normal distribution table.

We have been given d=30, s=7.5

p value of Z when X=44 subtracted by the p value of Z when X=16.

When X=44,

Z=(44-30)/7.5

=14/7.5

=1.87

P value=0.9686

When X=16

Z=(16-30)/7.5

=-1.87

P Value=0.0314.

Required probability is =0.9686-0.0314

=0.9372

=93.72%

Hence the probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.

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1) The frequency of landing 4 is 14.

2) The frequency for prime numbers is  8 and 3.

It is a branch of mathematics that deals with the occurrence of a random event.

Given:

Outcome               Frequency

1                                   12

2                                   6

3                                   8

4                                   14

5                                   3

1) The frequency of landing 4 is 14.

2) The frequency for prime numbers is  8 and 3.

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A statement which correctly compares the two functions on the given interval [-1, 2] is: C. Both functions are increasing, but function g increases at a faster average rate.

First of all, we would determine the values of function g(x) on the given interval [-1, 2] as follows:

g(x) = -18(⅓)^x + 2

At x = -1, we have:

g(-1) = -18(⅓)^(-1) + 2

g(-1) = -52.

At x = 0, we have:

g(0) = -18(⅓)^(0) + 2

g(0) = -16.

At x = 1, we have:

g(1) = -18(⅓)^(1) + 2

g(1) = -4.

At x = 2, we have:

g(2) = -18(⅓)^(0) + 2

g(2) = 0.

By critically observing the values of each functions, we can logically deduce that both functions are increasing but function g(x) increases at a faster average rate because it started with a lower value and ended with a higher value.

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Answer:

120%

Step-by-step explanation:

10.14 is more than all of 8.45.

8.45 is 100% of 8.45.

So 10.14 will be more than 100%.

10.14 ÷ 8.45 = 1.2

This is the decimal value.

To change to %, multiply by 100.

1.2 × 100 = 120

10.14 is 120% of 8.45

Answer:

  p = 6i -3j +9k

  q = 3i -6j -3k

  r = 2p +q

  r = 5i -4j +5k

  R(5, -4, 5)

Step-by-step explanation:

Given points P(6, -3, 9) and Q(3, -6, -3) and R that divides PQ in the ratio 1:2, you want ...

The vector from the origin to a point (x, y, z) will be ...

  xi +yj +zk

where i, j, k are unit vectors in the direction of the x, y, and z axes, respectively.

Using this pattern, we find the position vectors p and q to points P and Q to be ...

  p = 6i -3j +9k . . . . . . . . . . . . . position vector p

  q = 3i -6j -3k . . . . . . . . . . . . . position vector q

Point R divides PQ in the ratio 1:2, so its position vector will be the weighted sum of p and q:

  r = (2p +q)/3 . . . . . . . . . . . . . . . . r in terms of p and q

Using the values of p and q from above, we find r to be ...

  r = (2(6i -3j +9k) +(3i -6j -3k))/3 = ((2·6+3)i +(2(-3)-6)j +(2·9-3)k)/3

  r = 5i -4j +5k . . . . . . . . . . r in terms of i, j, k

The coordinates of R are the coordinates of the head of position vector r:

  R(5, -4, 5) . . . . . . . . . . . . . coordinates of R

The probability of choosing either  a raspberry or a strawberry sweet is 17/60.

P(s) ∩ P(c) = P(s) x P(c) =  1/12

where;

1/12 = P(s) x P(c)

1/12 = 1/5 x P(c)

P(c) = 5/12

P(s) ∪ P(c) = 1/5 + 5/12 = 17/60

Thus, the probability of choosing either  a raspberry or a strawberry sweet is 17/60.

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