wright the follwing in decimlal form:25/8

Step-by-step explanation:

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Answer: x = 4/3

Step-by-step explanation: I just answered the answer

Answer:

x = 20  ∠B = 92°  ∠C = 40°

Step-by-step explanation:

The sum of angles of a triangle is 180°.

48 +(6x -28) +2x = 180

8x +20 = 180

8x = 160

x = 20

∠B = (6x -28)° = (6*20 -28)° = 92°

∠C = 2x° = 40°

Answer

X= 20

m<B = 92°

m <C = 40°

Step-by-step explanation:

The sum of angles in a triangle = 180°

So, 48 + 6x-28 +2x = 180

8x+20= 180

8x = 160

So x= 160/8 = 20

Substitute x in the equations:

m<B= 6×20-28= 92°

m<C = 2×20 = 40°

Answer:

f(x) = x² - 13x + 42

Step-by-step explanation:

given zeros are x = 6 and x = 7 then the corresponding factors are

(x - 6) and (x - 7)

the quadratic function is then the product of the factors , that is

f(x) = (x - 6)(x - 7) ← expand using FOIL

     = x² - 13x + 42

Using an exponential function, it is found that the multiplier that would allow you to predict the population of bacteria after 2 hours is of 9.

An exponential function is modeled by:

[tex]y = ab^x[/tex]

In which:

In this problem, the bacteria triples every hour, hence the rate of change is b = 3, and the equation is:

[tex]y = a(3)^x[/tex]

Hence, after 2 hours:

[tex]y = a(3)^2 = 9a[/tex]

Which means that the multiplier is of 9.

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Answer:

this is the hardest one yet gee

Step-by-step explanation:

2 + O = 2

The height of the aquarium is h = 18 3/4 yd

The formula for calculating the volume of a rectangular box is expressed as

V = lwh

where

l is the length

w is the width

h is the height

Substitute

350 = 20/3 * 14/5 * h

350 = 280/15h

35 = 28/15h

28h = 35 * 15

28h = 525

h = 525/28

h = 18 3/4 yd

Hence the height of the aquarium is h = 18 3/4 yd

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Answer:

12 feet

Step-by-step explanation:

Given that the trophy is 1.5 feet tall which casts a 2 feet shadow and the basketball hoop casts a 16 feet shadow, we can identify the height of the basketball hoop by doing (16÷2)×1.5= 12 feet

Hope this helps with your work

The errors made by the student are:

The equation is given as:

[tex]y = x^2 + 12x[/tex]

The first step of the student is given as:

[tex]x = y^2 + 12x[/tex]

This is incorrect because the variables x and y must be completely swapped.

So, the actual step is [tex]x = y^2 + 12y[/tex]

The second step is given as:

[tex]y^2 = x - 12x[/tex]

The third step is given as:

[tex]y^2 = - 11x[/tex]

The last step is given as:

[tex]y = \sqrt{-11x}[/tex] for [tex]x \ge 0[/tex]

This is incorrect because [tex]y = \sqrt{-11x}[/tex]  would have complex solution for [tex]x \ge 0[/tex] and the square root needs to have a ±

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Answer:

40 L cranberry juice; 80 L apple juice

Step-by-step explanation:

Let x = number of liters of cranberry juice.

The total volume is 120 L, so the volume of apple juice is

120 - x.

The value of the cranberry juice is 0.5x.

The value of the apple juice is 0.35(120 - x).

The value of the mixture is 0.4(120) = 48

The value of the cranberry juice plus the value of the apple juice equals the value of the mixture.

0.5x + 0.35(120 - x) = 48

0.5x + 42 - 0.35x = 48

0.15x = 6

x = 6/0.15

x = 40

120 - x = 120 - 40 = 80

Answer: 40 L cranberry juice; 80 L apple juice

Answer:

14 times

Step-by-step explanation: add all colors up for total which is 25

since 7 out of the 25 total paper clips are yellow you would have a 7/25 chance of getting yellow after 1 pick.

since you pick and replace 50 times do  (7/25) X 50 which gives you 14 times yellow will be drawn.

The surface area of the triangular prism is 153 cm².

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

The area of the triangular prism is the sum of the area of the rectangle and the area of the triangle, therefore, the area of the prism will be,

Area = A + B + C

        =(9 × 15) + (0.5×6×3) + (0.5×6×3)

        = 135 + 9 + 9

        = 153 cm²

Hence, the surface area of the triangular prism is 153 cm².

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Answer:

9*5 + 6*9 + 9*4 + 1/2*6*3 + 1/2*6*3

=1872+1/2*6*3+1/2*6*3

=1872+18

=1890cm²

Surface area= 1890cm²

Step-by-step explanation:

there are 2 similar triangles : ABE and DCE

that means they have the same angles, and the scaling factor from one triangle to the other is the same for every side.

and that means that

DE/AE = EC/BE (= DC/AB)

we know that

AE = AD + DE

BE = BC + EC

a.

so, we have actually

DE/(AD+DE) = EC/(BC+EC)

DE/(10+DE) = 8/(2+8) = 8/10 = 4/5

DE = 4(10+DE)/5

5DE = 4(10+DE) = 40 + 4DE

DE = 40 cm

b.

AD/DE = 3/5

BC/EC must be 3/5 too.

15/EC = 3/5

15 = 3EC/5

75 = 3EC

EC = 25 cm

Answer:

Step-by-step explanation:

Combine like terms: Like terms have same variable with same power and to combine the like terms, add/subtract the co efficient of the variables.

      Perimeter = sum of all sides

a) Perimeter of ΔABC = AB + BC + CA

                                    = x + 14 + x + 14 + x + 14

                                    = x + x + x + 14 + 14 + 14    {Combine like terms}

                                   = 3x + 42

b) EF = DI - GH

        = 2x + 3 - x

       = 2x - x + 3

       = x + 3

c) FG = HI - ED

         = 12 + 2x - (x + 5)

         = 12 + 2x - x - 5 {To open the brackets, (-1) is distributed to x and 5}

         = 12 - 5 + 2x - x

         = 7 + x

d) Perimeter of DEFGHI = DE +  EF + FG + GH + HI + ID

                                       =  x + 5 + x + 3 + 7 +x  + x + 12 +2x + 2x + 3

                                       = x +x + x + x + 2x + 2x + 5 + 3 + 7 + 3 + 12  

                                       = 8x + 30

y is inversely proportional to x: yx = k, such k is constant

Did you know?

Given:

To determine the constant of variation, substitute the first two given values to the equation of variation.

To determine the value of y, substitute the second given value of x including the constant of variation.

Answer:

Wxndy~~

[tex]~~~~~~~\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}\\\\\\\implies \tan \theta = \dfrac{LN}{LM}\\\\\\\implies \theta = \tan^{-1} \left( \dfrac{LN}{LM} \right)\\\\\\\implies \theta = \tan^{-1} \left(\dfrac{12.81}{7.72} \right)\\\\\\\implies \theta =58.92^{\circ}[/tex]

Step-by-step explanation:

this is how you solve it :)

Step-by-step explanation:

you do know that the sum of all angles in a triangle is always 180° ?

so,

3u + 6u - 18 + u + 18 = 180

10u = 180

u = 18

Answer:

8.97 × 10-3

Step-by-step explanation:

you move the decimal so its a number between 1 and less than 10 so we moved the decimal three spaces.

Answer:

its B

Step-by-step explanation:

Answer:

Random sampling

Step-by-step explanation:

Random sampling is a method of choosing a sample of observations from a population to make assumptions about the population. It is also called probability sampling.

The coordinates of the 3 respective points from the given parameters are; (6, -2); (-1, 1); (2, 6)

1) The coordinates of the point located 5/6 of the way from A to B is;

x = ⁵/₆(7 - 1) + 1

x = 6

y = ⁵/₆(-4 - 8) + 8

y = -2

x, y = (6, -2)

2) The coordinates of the point located ¹/₄ of the way from A to B is;

x = -3 + ¹/₄(5 - (-3))

x = -1

y = 0 + ¹/₄(4 - 0)

y = 1

x, y = (-1, 1)

3) The coordinates of the point located ¹/₆ of the way from A to B is;

x = ¹/₆(7 - 1) + 1

x = 2

y = ¹/₆(-4 - 8) + 8

y = 6

x, y = (2, 6)

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The compound interest will be equal to $13.57.

The interest on a loan or deposit that accrues on both the initial principal and the accumulated interest from prior periods is known as compound interest.

The compound interest will be calculated by:-

[tex]CI = P(1+\dfrac{r}{12})^{12t}-P[/tex]

[tex]CI = 250(1+\dfrac{0.053}{12})^{12}-250[/tex]

CI = $13.57

Therefore the compound interest will be equal to $13.57.

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Answer:

50-20 or perimeter-2length

Step-by-step explanation:

15 inches is the width

When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. The correct options are A and B.

When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Comparing it with chain rule will give

[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]

Thus, showing that whether one occurred or not, the other one doesn't care about it (independence).

Two events are known to be independent even if the result of one event does not affect the result of the second event.

Rolling a dice in an independent event and choosing a blue marble is another independent event. The two events are independent and the result of one does not affect the other.

Thus, A is correct.

Rolling a dice in an independent event, and rolling it again won't affect the result of the second roll. Therefore, rolling a dice twice or for n number of times is an independent event.

Thus, B is correct.

Hence, the correct options are A and B.

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Faarax Mohammed shirwa search

Answer:

no

Step-by-step explanation:

f(x) = [tex]\frac{1}{x-1}[/tex]

at x = 1

f(1) = [tex]\frac{1}{1-1}[/tex] = [tex]\frac{1}{0}[/tex]

division by zero is undefined, thus there is a discontinuity at x = 1

so f(x) is not continuous at x = 1

Answer:

2 solutions

Step-by-step explanation:

y = - 2x + 3 → (1)

y = x² - 6x + 3 → (2)

substitute y = x² - 6x + 3 into (1)

x² - 6x + 3 = - 2x + 3 ( subtract - 2x + 3 from both sides )

x² - 4x = 0 ← factor out x from each term on the left side

x(x - 4) = 0

equate each factor to zero and solve for x

x = 0

x - 4 = 0 ⇒ x = 4

substitute these values into (1)

x = 0 : y = - 2(0) + 3 = 0 + 3 = 3 ⇒ (0, 3 )

x = 4 : y = - 2(4) + 3 = - 8 + 3 = - 5 ⇒ (4, - 5 )

the 2 solutions are (0, 3 ) and (4, - 5 )

Answer:

Second option is the correct answer

[tex]\bigodot (9a^2b^6-6ab^3c^6+4c^{12})[/tex]

Step-by-step explanation: