The product of the first 50 prime numbers is not divisible by:
A. 26
B. 36
C. 46
D. 86

Answer:

{(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}

Step-by-step explanation:

The points are (-2, 3), (0, 3), (1, 1), (3, 4) and (4, 6) so the answer is {(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}

Answer:

{(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}

Step-by-step explanation:

I suck at explain and dont want to say the wrong thing and misword but hope I helped :)

Answer:

D) 112°

Step-by-step explanation:

Reflection is a type of transformation that require the turning of a point or an object about a reference point line.

In the given question, when the point is first reflected about l, it rotates at an angle of  56°. Then reflecting it about m give a total rotation of 112° by the point. Thus, the point (-4, 1) is rotated twice the angle between lines l and m.

Answer: C. 24 units

Step-by-step explanation:

The circumference of a circle is 2πr.  Let's say x = 1/3r.  Thus, the area of circle A relative to circle B is 1:3.  Thus, circle B is 3 times larger than circle A.  So, simply divide 64π by 4 to get 16π.  Then multiply 16π*3=48π.  For the circumference of a circle to be 48, the radius would have to be 24.

Hope it helps <3

Answer:

The answer is C, 24 units.

Step-by-step explanation:

Let [tex]r_A[/tex] be the radius is circle A and [tex]r_B[/tex] be the radius of circle B.

Radius of circle A is 1/3 of the radius of circle B, or:

[tex]r_A=\frac{1}{3}r_B[/tex]

[tex]3r_A=r_B[/tex]

The sum of their circumferences is [tex]64\pi[/tex]. In other words:

[tex]2\pi r_A +2\pi r_B = 64\pi[/tex]

Substitute [tex]r_B[/tex]:

[tex]2\pi(r_A +r_B)=64\pi[/tex]

[tex]2\pi (r_A +3r_A)=64\pi[/tex]

[tex]4r_A=32, r_A=8[/tex]

[tex]r_B=3r_A, r_B=3(8)=24[/tex]

Answer:

Step-by-step explanation:

Parent function is, f(x) = x²

For x = -4(x - 3),

f[-4(x - 3)] = [-4(x - 3)]²

               = 16(x - 3)²

               = 16(x - 3)²

g(x) = 16(x - 3)² is the transformed form of the graph f(x).

Here 16 (Coefficient of x²) represents the vertical stretch of the parent function by 16 units.

Followed by a translation of the function by 3 units right.

Table of input and output values of g(x),

x         0        1          2          3           4          5

y      -48     -32       -16         0          16        32

Now plot these points on a graph and join them.

Answer:

Perimeter of MNO =  38.71 in.

Area of MNO =  63.73 sq. in.

Step-by-step explanation:

Since the two triangles are similar, this means that

- linear dimensions are proportional to ratio of corresponding sides

- areas are proportional to ratio of corresponding sides.

Ratio of corresponding sides of MNO to DEF

= 6.7/9

Therefore

Perimeter of MNO = P*6.7/9 = 38.71 in.

Area of MNO = A*(6.7/9)^2 = 63.73 sq. in.

all results have been calculated to the second place of decimal

Answer:

P ≈ 38.7 in., A ≈ 63.7 in2

Answer:

x = −2.24 and x = 2.24

Step-by-step explanation:

16x^2 − 80 = 0

Add 80 to each side

16x^2 =80

Divide each side by 16

x^2 = 80/16

x^2 =5

Take the square root of each side

x = ± sqrt(5)

x = ±2.236067977

Answer:

x = 2.24  OR   x = -2.24

Step-by-step explanation:

=> [tex]16x^2-80 = 0[/tex]

Adding 80 to both sides

=> [tex]16x^2 = 80[/tex]

Dividing both sides by 16

=> [tex]x^2 = 80/16\\x^2 = 5[/tex]

Taking sqrt on both sides

=> x = ±√5

=> x = ±2.24

So,

Either,

x = 2.24  OR   x = -2.24

44.4 degrees

44.4 degrees

The triangles are similar.

Step-by-step explanation:

The measurements of missing angles are 44.4 each and the triangles are similar.

Two triangles are said to be similar if they have congruent corresponding angles and their corresponding sides are in equal ratios.

Given that, there are two triangles, ΔQSR and ΔTUV, where ∠Q and ∠U = 98° and ∠V and ∠R = 37.6°, we need to find the measurement of third angle in both and the relation between the triangles,

Using the angles sum property of a triangles,

∠Q + ∠S + ∠R = 180°

∠T + ∠U + ∠V = 180°

Therefore,

∠S = 180°-(37.6°+98°)

∠S = 44.4

Similarly,

∠T = 44.4

Since, all the corresponding angles are congruent therefore, the triangles are similar.

Hence the measurements of missing angles are 44.4 each and the triangles are similar.

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Answer:

C) 1/8 inch

Step-by-step explanation:

Answer:

y = 3x + 1

Step-by-step explanation:

This new line is parallel to y = 3x - 5 and thus has the same slope (3).

Adapting the point-slope formula y = mx + b to this situation, we use m  = 3 and substitute 0 for x and 1 for y:

1 = 3(0) + b

Therefore, b = 1, and the desired equation is

y = 3x + 1

Answer:

40 ≤ y ≤ 100

Step-by-step explanation:

Answer: Domain must include the x value. With a maximum of 30 people allowed in the theater, the domain is between 0 and 30, or 0<x>30

Step-by-step explanation:

Answer:

16 squares

Step-by-step explanation:

Answer:

f(6) =-2

Step-by-step explanation:

f(x) = 1/2 x-5

Let x = 6

f(6) = 1/2 *6-5

     =3 -5

   = -2

Answer:

[tex]-2[/tex]

Step-by-step explanation:

[tex]f(6)=\frac{1}{2}6-5 = -2[/tex]

Answer:

n = [tex]\frac{5}{3}[/tex] (C - 2.5)

Step-by-step explanation:

Given

C = [tex]\frac{3}{5}[/tex] n + 2.5 ( subtract 2.5 from both sides )

C - 2.5 = [tex]\frac{3}{5}[/tex] n

Multiply both sides by [tex]\frac{5}{3}[/tex] to clear the fraction

[tex]\frac{5}{3}[/tex] (C - 2.5) = n

Answer:

n = 5/3(C - 2.5)

Step-by-step explanation:

C = 3/5n + 2.5

Subtract 2.5 on both sides.

C - 2.5 = 3/5n

Multiply 5/3 on both sides.

5/3(C - 2.5) = n

Answer:

171

Option D is the correct option.

Solution,

[tex]4. {(2 + 5)}^{2} - {5}^{2} \\ =4. {(7)}^{2} - 5 \times 5 \\ =4 \times 7 \times 7 - 5 \times 5 \\ = 196 - 25 \\ = 171[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

[tex]171[/tex]

Answer D is correct.

Step-by-step explanation:

[tex]4 \times {(2 + 5)}^{2} - {5}^{2} \\ 4 \times {7}^{2} - 25 \\ 4 \times 49 - 25 \\ 196 - 25 \\ = 171[/tex]

Answer:

solution,

A(-2,-4)--->(X1,y1)

B(-8,4)----->(x2,y2)

now,

[tex]ab = \sqrt{(x2 - x1) ^{2} + {(y2 - y1)}^{2} } \\ \: \: \: \: = \sqrt{ (- 8 - ( - 2)) ^{2} + (4 - ( - 4)) ^{2} } \\ \: \: \: = \sqrt{( - 8 + 2) ^{2} + {(4 + 4)}^{2} } \\ \: \: \: = \sqrt{( - 6) ^{2} + {(8)}^{2} } \\ \: \: = \sqrt{36 + 64} \\ \: \: \: = \sqrt{100} \\ \: \: \: = \sqrt{ {(10)}^{2} } \\ \: \: \: \: = 10 \: units[/tex]

Hope this helps..

Good luck on your assignment

Answer:

s = t - m

Step-by-step explanation:

Assuming s equals the amount of time it would take Sam, subtracting the amount of time it takes Mark from the time it takes them together would give you the time Sam would take since with Sam's help, the time would equal t hours. Then without Mark's help is how long it would take him.

Answer:

Leaky faucet can result into wasting of about 10.8 litres of water.

Step-by-step explanation:

A typical drip is given as 0.25 ml of water.

So if there are 30 drips in a minute.

It means there are 30 × 60 = 1800 drips in an hour.

And 1800 × 24 = 43200 drips in a single day.

If drip is taken as 0.25ml of water

Then

43200 drips = 43200 × 0.25

43200 drips = 10800 ml of water

Convert ml into liters

10800ml = 10800/1000 L

10800ml = 10.8 L

So a leaky faucet can result into wasting of about 10.8 liters of water.

(Use same procedure if you have any other values of a drip)

Answer:

At a distance of 4 tick marks above

Step-by-step explanation:

Answer:

(x - 3)(x + 3)(x² + 9)

Step-by-step explanation:

Step 1: Difference of Squares

(x² - 9)(x² + 9)

Step 2: Difference of Squares within Difference of Squares

(x - 3)(x + 3)(x² + 9)

*You can't factor x² + 9 because it has no real roots. You can factor it to have complex roots (imaginary number i).

Answer:

(x+3)(x+3)(x²-9)

Answer: Option C: 0.03125

Step-by-step explanation:

we have an exponential equation, so we have:

f(x) = A*r^x

we have that:

f(1) = A*r^1 = A*r = 0.5

f(2) = A*r^2 = 0.25

f(3) = A*r^3 = 0.125

f(4) = A*r^4 = 0.0625

f(5) = A*r^5 = ?

we want to find the value f(5)

first, let's take the quotient:

f(2)/f(1) = (A*r^2)/(A*r) = r = 0.25/0.5 = 0.5.

then we have:

f(x) = A*0.5^x

and f(1) = A*0.5 = 0.5

then A = 0.5/0.5 = 1.

now we know that our function is f(x) = 0.5^x.

then, if we want to find f(5) we have:

f(5) = 0.5^5 = 0.03125

Then the correct option is option c.

Answer:

Density = Mass / volume

Problem B mass = 87.5 g and volume = 5 cm^3

Density = 87.5 / 5 = 17.5

This value is too low to be platinum

Step-by-step explanation:

Answer:

Item B.

Step-by-step explanation:

Density of item B

= mass / volume

= 87.5 / 5

= 17.5 g/cm^2 so it cannot be platinum.

The density if Items A and C  are the same : 21 g/cm^2.

Answer:

162

Step-by-step explanation:

The number with "1" digit starts with 101 then 110 and so on.

Answer:

D

Step-by-step explanation:

Answer: C

Step-by-step explanation: For a function, each x-coordinate corresponds to exactly one y-coordinate.

To determine whether the graph shown here

is a function, we can use the vertical line test.

The vertical line test tells us that if each x-coordinate on the graph corresponds to exactly one y-coordinate, then any vertical line that we draw on the graph should hit the graph at only one point.

For the graph show here, any vertical line that you draw with hit the graph at only one point which means it does pass the vertical line test.

So this graph is a function.

Answer:

c

Step-by-step explanation:

1828-1438=390

390÷39=10

Answer:

y = 0.265x - 494.7

Step-by-step explanation:

Let median age be represent by 'a' and time be represent by 't'

In 1980, median age is given 30

which means that

a₁ = 30

t₁ = 1980

In 2000, the median age is given 35.3

which means that.

a₂ = 35.3

t₂ = 2000

The slope 'm' of the linear equation can be found by:

m = (a₂ - a₁) /(t₂ - t₁)

m = (35.3 - 30)/(2000-1980)

m = 0.265

General form of linear equation is given by:

y = mx + c

y = 0.265x +c

Substitute point (1980,30) in the equation.

30 = 0.265(1980) + c

c = -494.7

Hence the the linear equation can be written as:

y = mx + c

y = 0.265x - 494.7

Answer:

y=-6

Step-by-step explanation:

The line shown is a horizontal line via the y-axis and has the equation y=4. A parallel line to it is a line that doesn't pass it. It may even have the form y=a wherein a is the y-coordinate of its points. The point (-4,-6) is on the line so y=-6 is the line.

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y=-6 is the  equation of the line that is parallel to the given line and passes through the point (-4,-6 )

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of the line passing through points ( -8, 4) and (8, 4)

m=4-4/8+8

=0

Slope is zero.

The slope of the parallel line will be also zero.

Now equation of line passing through (-4, -6) which is parallel.

Let us find y intercept

-6=-4(0)+b

-6=b

So the equation will be y=-6.

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Answer:

f(x) =  (y-intercept is 3)  ,(decreasing function),(average rate of change on (0,1) is -2)

g(x) = (y-intercept is 3), (increasing function) (average rate of change on (0,1) is 1)

Step-by-step explanation:

Solving for M1 in terms of Fg, G, M2 and r yields;

To solve for M1 in terms of F, G, M2 and r;

We are required to make M1 the subject of the formula as follows;

By cross product;

Afterwards; by dividing through by G M2; we have;

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Answer:

27/25 simplified is 1 2/25 none of your answers work

Step-by-step explanation:

Answer:

27/25

Step-by-step explanation:

27/25

Simplify the fraction if possible.

= 27/25

The improper fraction cannot be simplified further.