LaShawn solved the equation below to the determine the solution.

3 x minus 8 = negative x + 4 (x minus 2)

Answer:

1.5p + 3p + 2.5p

Step-by-step explanation:

This expression, 1.5p + 3p + 2.5p, will represent the amount of money received when p people buy one of each food item.

Since the price of each is the coefficient for p, this will represent how much money will be gained from each food item. All 3 terms will be added together to represent the total amount of money gained from selling all 3 items.

Answer:

Step-by-step explanation:

[tex]x^{2} -x-x<[/tex] 0

[tex]x^{2} -2x[/tex] < 0

x^2-2x+1<1

(x-1）^2<1

-1<x-1<1

0<x<2

[tex](x-1)^{2}[/tex][tex](x-1)^{2}[/tex]

Answer: 2 days

Step-by-step explanation:

We will add there work together

= 1/3 + 1/6

= 2/6 + 1/6 (LCM 6)

= 3/6

= 1/2

Therefore 1/2 = 2 days

Therefore it will take them 2 days

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Answer:

2(3x+4) = 11x-17

6x+8 = 11x-17

25=-5x

x=-5

11x-17

55-17

38

AC = 38

CD = 38

49-38 = 11

DE = 11

Let me know if this helps!

Answer:

The given figure is:

a. Polyhedron

c. prism

d. solid

Step-by-step explanation:

First of all, let us consider the given image.

It is a 3 dimensional figure.

It has 2 equal bases which are pentagonal.

Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces.

The faces can be of 'n' number of edges (Polygonal faces).

Its edges are straight, has sharp corners which are also known as vertices.

The given image is a polyhedron as per above definition.

b. Pyramid:

It is also a 3D shape which can have a polygonal base and its faces are triangular which converge on the top to one point.

The given image does not converge to a point on the top, so not a pyramid.

c. Prism:

It is a 3D shape which has it two bases as polygonal structure.

The two bases are equal in shape and size.

There are faces on the body of prism which are formed by joining the edges of the bases.

The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height.

So, the given image is a Solid.

e. Cube:

Cube is a 3D figure, which has all its faces in square shape.

All the sides are equal for a cube.

The given image is not a cube.

f. Polygon:

A polygon is a closed figure in 2 dimensions which has n number of sides.

The given image is not a polygon.

Answer: The given figure is:

a. Polyhedron

c. prism

d. solid

The given figure is a Polyhedron, prism and solid.

A polyhedron is a three-dimensional geometry having plane surfaces connected together with sharp edges and pointed vertices.

First of all, let us consider the given image. It is a 3-dimensional figure. It has 2 equal bases which are pentagonal. Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in the following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces. The faces can be of 'n' number of edges (Polygonal faces). Its edges are straight, has sharp corners which are also known as vertices. The given image is a polyhedron as per the above definition.

c. Prism:

It is a 3D shape which has it two bases as a polygonal structure.The two bases are equal in shape and size. There are faces on the body of prism which are formed by joining the edges of the bases. The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height. So, the given image is a Solid.

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Answer:

6×4p=24p

15a÷3=5a

3t×8y=24ty

24ef÷12e=2f

-4fx-5px-3 =-x(4f+5p)-3

-9abc÷3a=-3bc

Answer:

The sum and product of zeroes are 1 and 1/4, respectively.

Step-by-step explanation:

To determine the zeroes of the quadratic polynomial, let equalize the polynomial to zero and solve in consequence:

[tex]16\cdot s^{2}-16\cdot s + 4 = 0[/tex]

By the General Quadratic Formula:

[tex]s_{1,2} = \frac{16\pm \sqrt{(-16)^{2}-4\cdot (16)\cdot (4)}}{2\cdot (16)}[/tex]

[tex]s_{1,2} = \frac{1}{2}[/tex]

Which means that zeroes are [tex]s_{1}=s_{2}=\frac{1}{2}[/tex].

The sum and product of zeroes are, respectively:

[tex]s_{1}+s_{2} =\frac{1}{2}+\frac{1}{2}[/tex]

[tex]s_{1}+s_{2} = 1[/tex]

[tex]s_{1}\cdot s_{2} = \left(\frac{1}{2} \right)^{2}[/tex]

[tex]s_{1}\cdot s_{2} = \frac{1}{4}[/tex]

The sum and product of zeroes are 1 and 1/4, respectively.

Answer:Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

Negative Factors of 72: -1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -36 and -72.

Prime Factors of 72: 2, 3.

Prime Factorization of 72: 2 × 2 × 2 × 3 × 3 = 23 × 32

Sum of Factors of 72: 195.

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

The inter quartile range is determined by the formula Third quartile -  first quartile.

In a set, an inter quartile range is a measure of where the bulk of the data's lie

Answer:

30

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin² Θ csc² Θ =sin² Θ + cos² Θ

sin² Θ 1/sin² Θ = sin² Θ + cos² Θ

1 = sin² Θ + cos ² Θ (this is a trig identity)

Answer:

y=-1

Step-by-step explanation:

As the line is horizontal in nature and pass through (2,-1), the equation is y=-1

Answer:

1). 114.29 km per hour

2). 93.24 km per hour

Step-by-step explanation:

Question (1)

Umar drove his taxi in two parts;

1). Ipoh to Tapah

2). Tapah to Kuala Lumpur

Since, the formula to calculate the average speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

Total distance from Ipoh to Tapah = 60 km

Average speed to cover this distance = 100 km per h

Time taken to cover this distance = [tex]\frac{\text{Distance covered}}{\text{Speed}}[/tex]

                                                            = [tex]\frac{60}{100}[/tex]

                                                            = 0.6 hours

Total distance from Ipoh to Kuala Lumpur = 220 km per h

Average speed from Ipoh to Kuala Lumpur = 110 km per h

Time taken to cover the distance = [tex]\frac{220}{110}[/tex] = 2 hours

Distance from Tapah to Kuala lumpur = 220 - 60

                                                               = 160 km

Time taken to travel from Tapah to Kuala Lumpur = 2 - 0.6

                                                                                   = 1.4 hours

Average speed from Tapah to Kuala Lumpur = [tex]\frac{160}{1.4}[/tex]

                                                                           = 114. 29 km per hour

Question (2).

Speed achieved by the leopard = 25.9 meter per sec.

Since, 25.9 meter = [tex]\frac{25.9}{1000}[/tex] km

                              = 0.0259 km

1 second = [tex]\frac{1}{3600}[/tex] hour

Therefore 25.9 meter per second = [tex]\frac{0.0259}{\frac{1}{3600} }[/tex]

                                                        = 0.0259 × 3600

                                                        = 93.24 km per hour

Answer:

Step-by-step explanation:

Find derivative of the function:

y' = -2·sin(2·x)

-2·sin(2·x) = 0

x1 = 0

x2 = 3.142

f(0) = 1

f(3.142) = 1

Answer

fmin = 1, fmax = 1

Answer:

the image or text isnt there?

Step-by-step explanation:

Step-by-step explanation:

Any real number that cannot be expressed as the quotient of integers

I HOPE THE DAY GOES GREAT.

Answer:

It's rational number

Step-by-step explanation:

if a number is non stop it is irrational

it a number stops as it stopped here at 1 so it's a rational number

Answer:

Rational

Step-by-step explanation:

It's a decimal with no recurring digits:)

45125|5

9025|5

1805|5

361|19

19|19

1

[tex]45125=5^3\cdot 19^2=5^2\cdot 5\cdot19^2[/tex]

It's 5

56/64 = 7/8

7/8 x 120

105.

Answer:

3166.7

Step-by-step explanation:

Volume=pi*r^2*h

=pi*12^2*7=3166.7

Answer:

3166.7

Step-by-step explanation:

Volume of a cylinder= pi × radius² × height

3.14 × 12² ×7 = 3166.7

Answer:

About 68.2%.

Step-by-step explanation:

We want to find the probability that a randomly selected point lands in the white area.

To do so, we can find the probability that the point does not land in the white area (i.e. the red area) and then subtract it from 100%.

The circle has a radius of 4 cm. Note that the base of the triangle is the diamater, so the base measures 8 cm. The height of the triangle is the radius, so it measures 4 cm. Thus, the area of the triangle is:

[tex]\displaystyle \begin{aligned} A &= \frac{1}{2}bh \\ &= \frac{1}{2}(8)(4) \\ &= 16\text{ cm}^2\end{aligned}[/tex]

Likewise, the area of the entire circle will be:

[tex]\displaystyle \begin{aligned} A &= \pi r^2 \\ &= \pi(4)^2 \\ &=16\pi \text{ cm}^2\end{aligned}[/tex]

Then the probability that a randomly seleted point lands in the red area is:

[tex]\displaystyle P\left(\text{Red}\right) = \frac{\text{Red}}{\text{Total}} =\frac{16}{16\pi} = \frac{1}{\pi}[/tex]

The probability that the point lands in the red area or the non-red area (i.e. white area) must total 100%. In other words:

[tex]\displaystyle P\left(\text{Red}\right) + P\left(\text{White}\right) = 1[/tex]

Thus:

[tex]\displaystyle P\left(\text{White}\right) = 1 - P\left(\text{Red}\right)[/tex]

Substitute:

[tex]\displaystyle P\left(\text{White}\right) = 1 - \left(\frac{1}{\pi}\right)[/tex]

Use a calculator. Hence:

[tex]\displaystyle P\left(\text{White}\right) \approx 0.6817 = 68.2\%[/tex]

The probability that a randomly selected point lands in the white area is about 68.2%.

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n} =a^{m+n}\\\\\\2^{3}*2^{5} = 2^{3+5} =2^{8}\\\\\\3^{2}*3^{4}=3^{2+4} = 3^{6}\\\\\\a^{2}*a^{5}=a^{2+5}=a^{7}[/tex]

Answer:

h(x)=\sqrt(x+6)

Step-by-step explanation:

I just did the test for a p e x

======================================================

Explanation:

We're conducting a one proportion Z test.

The hypothesized population proportion is p = 0.53, which is not to be confused with the p-value (unfortunately statistics textbooks seem to overuse the letter 'p'). Luckily this problem is not asking for the p-value.

The sample population proportion is

phat = x/n = 41/79 = 0.518987 approximately

The standard error (SE) is

SE = sqrt(p*(1-p)/n)

SE = sqrt(0.53*(1-0.53)/79)

SE = 0.056153 approximately

Making the test statistic to be

z = (phat - p)/(SE)

z = (0.518987 - 0.53)/0.056153

z = -0.19612487311452

z = -0.196

Which is approximate and rounded to 3 decimal places.

Answer:

-1/3 sqrt(21)

Step-by-step explanation:

1/3 sqrt(21) - 2/3 sqrt(3)  * sqrt(7)

We know sqrt(a) * sqrt(b) = sqrt(ab)

1/3 sqrt(21) - 2/3 sqrt(21)

Factor out sqrt(21)

sqrt(21) (1/3-2/3)

sqrt(21) (-1/3)

-1/3 sqrt(21)

Answer: Choice A)  [tex]-\frac{1}{3}\sqrt{21}[/tex]

=====================================================

Work Shown:

I'm guessing that the x you wrote is to signify multiplication. If so, then one way to do the steps is shown in the attached image below.

In step 2, I used the rule that sqrt(x)*sqrt(y) = sqrt(x*y).

Answer:

x = 61

Step-by-step explanation:

Supplementary angles add up to 180 degrees. We can create an equation and solve for x.

(2x + 6) + (x - 9)= 180

~Combine like terms

3x - 3 = 180

~Add 3 to both sides

3x = 183

~Divide 3 to both sides

x = 61

Best of Luck!

Answer:

11

Step-by-step explanation:

26=7(g-9)+12

14=7(g-9)

2=g-9

g=11

Answer:

Choice b. [tex]q[/tex] has to be false.

Step-by-step explanation:

Consider the truth table of [tex]p \implies q[/tex] ([tex]p[/tex] implies [tex]q[/tex]).

The only combination where [tex]p \implies q[/tex] is false is when [tex]p[/tex] is true and [tex]q[/tex] is false. Hence, the [tex]q\![/tex] here must be false.

Answer:

itself and numbers divisible by 7

Answer:

Step-by-step explanation:

36=2×2×3×3

factors of 36 are 2,3,4,6,9,12,18,36

when N+2=2,N=0 (0 is neither positive nor negative.)

N+2=3,N=3-2=1

N+2=4,N=4-2=2

N+2=6,N+6-2=4

N+2=9,N=9-2=7

N+2=12

N=12-2=10

N+2=18,N=18-2=16

N+2=36,N=36-2=34

so for 7 positive integer values of N,36/(N+2)is a positive integer.

Since there are 8 factors of 36 hence 8 positive integers are possible for the expression 36/N + 2 to be an integer

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