HELP!! ⚠️ In the diagram below, the two vertical segments are parallel. What is the total number of degrees in angles a, b, c, d?

[tex]\bold{\text{Answer:}\quad \dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}[/tex]

Step-by-step explanation:

[tex].\quad \dfrac{-5x}{8x+7}-\dfrac{6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}+\dfrac{-6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}\bigg(\dfrac{3x+1}{3x+1}\bigg)+\dfrac{-6x^3}{3x+1}\bigg(\dfrac{8x+7}{8x+7}\bigg)\\\\\\=\dfrac{-15x^2-5x}{(8x+7)(3x+1)}+\dfrac{-48x^4-42x^3}{(8x+7)(3x+1)}\\\\\\=\large\boxed{\dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}[/tex]

Answer:

a) [tex]1,000,000 \times (1.06)^{t}[/tex]

b) The function is recursive

c) The benefits includes;

1) Simplification of information

2) Faster data access

3) Lesser storage requirement

4) Good for forecasting

5) Simplifies information analysis.

Step-by-step explanation:

The given information are;

The current population = 1,000,000

The rate of increase of the population = 6%

a) With the standard function notation is [tex]P_f[/tex]  = [tex]P_p[/tex] × [tex](1 + r)^{t}[/tex]

Where;

[tex]P_f[/tex] = Future population

[tex]P_p[/tex] = Present population

r = Rate of population increase

t = The number of years

Therefore, we have;

[tex]P_f[/tex]  = 1,000,000 × [tex](1 + 0.06)^{t}[/tex] = 1,000,000 × [tex](1.06)^{t}[/tex]

The population increases by a factor of [tex](1.06)^{t}[/tex] given the number of years, t

b) The function is recursive as it takes account of the number of years and the previous population to calculate the future population

c)  The benefits includes;

1) Simplification of the relationship of a given data with time

2) Provides a more faster way to access data that is recursive than using complex regular function with more variables

3) Reduces data storage space for statistical calculations as several particular data can be accessed using one function

4) Provides improved forecasting

5) Enables detailed information analysis.

Answer:

[tex]x = -2[/tex] and [tex]y = \frac{5}{3}[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{2}{3}x + 3[/tex]

[tex]x = -2[/tex]

Required

Determine the solution to the equations

From the second equation, we have the value of x already;

The next step is to substitute -2 for x in the first equation

[tex]y = \frac{2}{3}x + 3[/tex] becomes

[tex]y = \frac{2}{3}(-2) + 3[/tex]

[tex]y = \frac{-4}{3} + 3[/tex]

[tex]y = -\frac{4}{3} + 3[/tex]

Take LCM

[tex]y = \frac{-4 + 9}{3}[/tex]

[tex]y = \frac{5}{3}[/tex]

Hence,

[tex]x = -2[/tex] and [tex]y = \frac{5}{3}[/tex]

A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)

In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.

Answer:

d is 5 units

Step-by-step explanation:

Answer:

The number of hours Stephanie will have driven before Tina catches up to her is 2.5 hours

Step-by-step explanation:

Given:

56s=70t

s=t+1/2

Solution

56s=70t

s=t+1/2

Substitute s=t+1/2 into 56s=70t

56s=70t

56(t+1/2)=70t

56t+28=70t

28=70t - 56t

28=14t

Divide both sides by 14

28/14=14t/14

2=t

t=2

Recall,

s=t+1/2

s=2+1/2

=4+1/2

s=5/2

Or

s=2.5 hours

Answer:

  14

Step-by-step explanation:

The rectangle has side lengths of 3 and 4. There are two of each length, so the total length of all the sides is ...

  P = 2(l +w) = 2(4 +3) = 2(7)

  P = 14 . . . . units

Answer:

3 but not positive

Step-by-step explanation:

Answer:

5! i just did this question

Step-by-step explanation:

Answer:

x = -7 or x = 2/3

Step-by-step explanation:

I'm assuming you meant solve for x when f(x) = 0.

f(x) = 3x(x + 7) - 2(x + 7)

0 = (x + 7)(3x - 2) -- Both terms have a common factor of (x + 7) so we can group them

x + 7 = 0 or 3x - 2 = 0 -- Use ZPP

x = -7 or x = 2/3 -- Solve

Answer:

C

Step-by-step explanation:

Using Parts Whole Postulate we can write:

∠LQP = ∠LQR + ∠PQR

We know that ∠LQP = 77° and ∠LQR = 35° so we can write:

77° = 35° + ∠PQR

Therefore the answer is 77 - 35 = 42°.

Answer:

The answer is

Step-by-step explanation:

Area of a rectangle = length × width

let w be the width and l be the length

Area of rectangle = 247 ft²

width is 6 feet less than its length is

w = l - 6

247 = l( 1 - 6)

l² - 6l - 247 = 0

(l + 13) (l - 19) = 0

l + 13 = 0 l - 19 = 0

l = - 13 l = 19

Since the length should be positive

The length of the rectangle is

Hope this helps you

Answer:

Length of the rectangle, L = 19 ft

Step-by-step explanation:

Area of a rectangle = Length * Width

Area of the rectangle, A = 247 ft²

Let the length of the rectangle be L

The width of the rectangle = W

Since the width of the rectangle is 6 ft less that the length;

W = L - 6

A = L * W

247 = L * (L - 6)

247 = L² - 6L

L² - 6L - 247 = 0

By solving the quadratic equation above:

(L - 19)(L + 13) = 0

L - 19 = 0, L = 19

L + 13 = 0; L = -13

Since the length of a rectangle cannot be negative, L = 19 ft

Answer: D) Construct the perpendicular bisectors for AB and AC.

The intersection of all three perpendicular bisectors will form the circumcenter, which is the center of the circumcircle. This circle goes through all three corner points of the triangle. At minimum, you only need two perpendicular bisectors to get the job done. Choice B is close, but is missing that second perpendicular bisector.

The angle bisectors intersect to form the incenter, which is the center of the incircle (it's the largest possible circle to fit inside the triangle without spilling over).

Answer:

D.  Construct the perpendicular of ab and ac

Step-by-step explanation:

Circumscribe a Circle on a Triangle

Construct the perpendicular bisector of one side of the triangle.

Construct the perpendicular bisector of another side.

Where they cross is the center of the Circumscribed circle.

Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle

Mark me as brainliest

Answer:

The probability of event A happening which is P(A) = 1/2

Step-by-step explanation:

To answer this question, we will have to make use of the mathematical formula for independent events.

Firstly, what do we mean by independent events?

Independent events are events that occur freely of each other. What this means is that the occurrence or non-occurrence of one of the events does not disturb the occurrence or non-occurrence of the other event.

Given that A and B are independent events, then mathematically;

P(A ∩ B) = P(A) P(B)

Now from the question, we know that We are to find P(A), inputing the values we have;

1/6 = P(A) * 1/3

P(A) = 1/6/1/3

P(A) = 1/2

Answer:

La máquina llenó:

6 baldes

Step-by-step explanation:

Por regla de tres:

4 baldes son a 30 minutos

M baldes son a 45 minutos

M = 45*4/30

M = 180/30

M = 6

Answer:

Hello your question lacks the required options

A.)11.070 B.)2.592

C.)13.388 D.)15.033

answer : 15.033 (D)

Step-by-step explanation:

The given Data

Day of The Week        number of Absentees

Monday                                  12

Tuesday                                  9

Wednesday                             11

Thursday                                 10

Friday                                       9

Saturday                                   9

The critical value of chi-square = 15.09 and this obtained by entering the degrees of freedom and level of significance into minitab. attached below is the plot

hence for the given options the critical value of chi-square is ≈ 15.03

Answer:

The probability that a randomly selected group of four trees can be used as timber is 4.5 × 10⁻⁵

Step-by-step explanation:

The given parameters are;

Mean = 34 cm

The standard deviation = 8 cm

The mean

The Z score is [tex]Z=\dfrac{x-\mu }{\sigma }[/tex], which gives;

For x  = 30 we have;

[tex]Z=\dfrac{30-34 }{8 } = -0.5[/tex]

P(x>30) = 1 - 0.30854 = 0.69146

For x = 40, we have

[tex]Z=\dfrac{40-34 }{8 } = 0.75[/tex]

P(x < 40) = 0.77337

Therefore, the probability that the mean of four trees is between 30 and 40 is given as follows;

P(30 < x < 40) = 0.77337 - 0.69146 = 0.08191

The probability that a randomly selected group of four trees can be used as timber is given as follows;

Binomial distribution

[tex]P(X = 4) = \dbinom{4}{4} \left (0.08191\right )^{4}\left (1-0.08191 \right )^{0} = 4.5 \times 10^{-5}[/tex]

Answer:

Quota Sampling

Step-by-step explanation:

Quota Sampling is a non-probability sampling method in research, where the researcher forms subgroups of individuals who are representative of the entire population through random selection. Quota sampling is often used by researchers who want to get an accurate representation of the entire population. It saves time and money especially if accurate samples are used.

In the example given above, where the research creates subgroups of 30 pre-school children by dividing them into 10 two-year-old children, 10 three-year-old, and 10 four-year-old children, he has applied the quota sampling.  These subgroups would give a proper representation of the preschool children in local daycare centers.

Answer:

JK = 16√2

Step-by-step explanation:

This triangle is a special case right triangle, where you have 1 90-degree angle and 2 45-degree angles. The sides that correspond to the 45-degree angles are scalable by 1 and the hypotenuse is scalable by √2. Sometimes these are called 1-1-√2 triangles, describing the measurements of the sides.

Since this has a side of 16, the hypotenuse will be 16√2.

Cheers.

Answer:

[tex]x = 1.25[/tex]

[tex]y = 0[/tex]

Step-by-step explanation:

Given

[tex]4x - 5y = 5[/tex]

[tex]0.08x + 0.10y = 0.10[/tex]

Required

Determine the solution

Make x the subject of formula in: [tex]4x - 5y = 5[/tex]

[tex]4x = 5 + 5y[/tex]

Divide both sides by 4

[tex]\frac{4x}{4} = \frac{5 + 5y}{4}[/tex]

[tex]x = \frac{5 + 5y}{4}[/tex]

Substitute [tex]x = \frac{5 + 5y}{4}[/tex] in [tex]0.08x + 0.10y = 0.10[/tex]

[tex]0.08(\frac{5 + 5y}{4}) + 0.10y = 0.10[/tex]

Solve the fraction

[tex]0.02(5 + 5y) + 0.10y = 0.10[/tex]

Open the bracket

[tex]0.1 + 0.1y + 0.10y = 0.10[/tex]

[tex]0.1 + 0.2y = 0.10[/tex]

Subtract 0.1 from both sides

[tex]0.1-0.1 + 0.2y = 0.10 - 0.1[/tex]

[tex]0.2y = 0[/tex]

Divide both sides by 0.2

[tex]y =0[/tex]

Substitute 0 for y in [tex]x = \frac{5 + 5y}{4}[/tex]

[tex]x = \frac{5 + 5*0}{4}[/tex]

[tex]x = \frac{5 + 0}{4}[/tex]

[tex]x = \frac{5 }{4}[/tex]

[tex]x = 1.25[/tex]

Answer:

-4y=8-2x

Step-by-step explanation:

a guess

Answer:

y = 1/2 x -2

Step-by-step explanation:

2x – 4y = 8

Solve for y

Subtract 2x from each side

2x – 4y -2x= -2x+8

-4y = -2x+8

Divide each side by -4

-4y/-4 = -2x/-4  + 8/-4

y = 1/2 x -2

Answer:

5.50 years

Step-by-step explanation:

A = P[tex](1 + \frac{r}{n})^{nt}[/tex]

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

3178 = 2000(1+.086/2)^2t

t = 5.499904413

Answer:

1020

Step-by-step explanation:

well, the first three significant figures stops at the 102, so round the 1023.4567 to a whole number which just becomes 1023

then, round the answer so you only have the 102, so you would round down since 4 or less, which 3 is less than 4, you round down, and you would get 1020

that last 0 is not a significant figure because it does not have a decimal point or any other number following after it--any 0s at the end of a number are not significant if there is no decimal point or other number after them.

Answer:

60

Step-by-step explanation:

The measurement of the angle Q will be equal to 60°.

An isosceles trapezoid is a convex quadrilateral with one pair of opposite sides bisected by a line of symmetry. It is a subset of the trapezoid. It can also be defined as a trapezoid with equal lengths for both legs and base angles.

Given that the angle S= 120. The measure of the angle Q will be calculated as:-

∠Q = ∠R = 120°

The pair of the two angles with the two parallel lines are supplementary.

∠R + ∠Q = 180

120 + ∠Q = 180

∠Q = 180 - 120 = 60

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Answer:

( x+ 2.4) ^2 + ( y+4.8) ^2 = 45

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + ( y-k) ^2 = r^2

Where ( h,k) is the center and r is the radius

( x-- 2.4) ^2 + ( y--4.8) ^2 = (sqrt45)^2

( x+ 2.4) ^2 + ( y+4.8) ^2 = 45

Answer:

4[tex]x^{2}[/tex]+6x-5

Step-by-step explanation:

Factor out 8x from the numerator.

Answer:38.4

Step-by-step explanation:

(32x3)+(48x2)-40x/8x

96+96-40x/8x

192-5x=0

192=5x

192/5=38.4

Answer:

[tex]g(x) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]

Step-by-step explanation:

Given

[tex]y = |\frac{1}{2}x - 2| + 3[/tex]

Required

Translate the above one unit to the left

Replace y with f(x)

[tex]y = |\frac{1}{2}x - 2| + 3[/tex]

[tex]f(x) = |\frac{1}{2}x - 2| + 3[/tex]

When an absolute function is translated to the left, the resulting function is

[tex]g(x) = f(x - h)[/tex]

Because it is been translated 1 unit to the left, h = -1

[tex]g(x) = f(x - (-1))[/tex]

[tex]g(x) = f(x + 1)[/tex]

Calculating [tex]f(x+1)[/tex]

[tex]f(x+1) = |\frac{1}{2}(x+1) - 2| + 3[/tex]

Open bracket

[tex]f(x+1) = |\frac{1}{2}x + \frac{1}{2} - 2| + 3[/tex]

[tex]f(x+1) = |\frac{1}{2}x + \frac{1-4}{2} | + 3[/tex]

[tex]f(x+1) = |\frac{1}{2}x + \frac{-3}{2} | + 3[/tex]

[tex]f(x+1) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]

Recall that

[tex]g(x) = f(x + 1)[/tex]

Hence;

[tex]g(x) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]

Answer:

y=l1/2x-3/2l+3

Step-by-step explanation:

cause im him

Answer:

X=10

Step-by-step explanation:

the triangle is a right angled triangle so use pythagoras theorem a^2+b^2=c^2

x^2+(√200)^2=(√300)^2

x^2+200=300

x^2=300-200

x^2=100

x=√100=10

X=10

do you know where is India

becz I am an Indian

Answer:

2,49/4,10/9

Step-by-step explanation:

[tex]1.\sqrt{4} =2\\2.\sqrt{x} =3+\frac{1}{2} =\frac{7}{2} \\x=\frac{49}{4} \\3.\sqrt{x} =3+\frac{1}{3} =\frac{10}{3} \\x=\frac{100}{9}[/tex]

Answer: 108 square inches

Step-by-step explanation:

The formula for any square is base*height/2. The formual to find the area of a square is base*height. If you draw out a square and cut it in half diagonaly, you get a right triangle. That is why you divide it by 2. (sorry if the explanation was clunky/ hard to understand)

1. You would multiply 18*12 which equals 216.

2. Divide 216 by 2. 216/2= 108.

The answer is 108. Hope this helped you:)

The area of the triangle is 108 square inches.

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

If we draw out a square and cut it in half diagonaly, you get a right triangle. That is why we need to divide it by 2.

The area of the triangle = 1/2 x b x h

The area of the triangle = 1/2 x 12  x 18

= 216/2= 108.

The area of the triangle is 108 square inches.

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Answer:

8.1

Step-by-step explanation: