can someone please help me with this hw question for pre calc

The statement that for two sets A and B, (A ∪ B)' = A' ∩ B' is true.

Let us check it with the help of an example.

Let A = {1,2,3,4,5,6} ,

B = {5,6,7,8,9,10} and ,

A universal set S = {1,2,3,4,....,15}

Now, we can write,

A ∪ B = {1,2,3,4,5,6,7,8,9,10}

LHS = (A ∪ B)' = {11,12,13,14,15}

A' = {7,8,9,10,11,12,13,14,15}

B' = {1,2,3,4,5,11,12,13,14,15}

RHS = A' ∩ B' = {7,8,9,10,11,12,13,14,15} ∩  {1,2,3,4,5,11,12,13,14,15} = {11,12,13,14,15}

As we can observe from above,

LHS = RHS

Hence, the statement that for two sets A and B, (A ∪ B)' = A' ∩ B' is true.

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Answer:9-0

Step-by-step explanation:sdwew

Answer:

x = 35 degrees

Step-by-step explanation:

3x-11+2x+16 = 180

5x +5 = 180

5x = 180 -5

5x = 175

5/5 x = 175/5

x = 35 degrees

93.7% of the students have a grade point average of 3.67

The Empirical Rule defines that for a normally distributed random variable:

1 standard deviation of the mean measures with 68%

2 standard deviations of the mean are measured at 95%.

3 standard deviations of the mean measures 99.7%.

The given information is:

Mean=2.56 and the standard deviation is 0.37.

By using the empirical rule, we can calculate the percentage of students who have a grade point of 3.67

3.67 = 2.56 + 3*0.37

So both the scores are within 3 standard deviations of the mean, which is 93.7% of the students have a grade point of 3.67.

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The inverse equation to the one given in this exercise is:

\(y = 2(\sqrt{7 + x} + 1)\)

To find the inverse, we have to exchange x and y and then isolate y.

In this problem, the equation is:

2(x - 2)² = 8(7 + y).

Exchanging x and y:

2(y - 2)² = 8(7 + x)

Now we work to isolate y:

(y - 2)² = 4(7 + x).

To isolate y, we apply the square root to both sides, hence:

\(\sqrt{(y - 2)^2} = \sqrt{4(7 + x)}\)

\(y - 2 = 2\sqrt{7 + x}\)

\(y = 2\sqrt{7 + x} + 2\)

\(y = 2(\sqrt{7 + x} + 1)\)

Hence the inverse equation to the one given is:

\(y = 2(\sqrt{7 + x} + 1)\)

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Answer:

The remaining tea = 0.305 kg

Step-by-step explanation:

The mass of Tea pack = 0.345 kg

The mass of tea taken = 40 g

as

Therefore, all we need is to subtract 0.04 kg from 0.345 kg to determine the tea left:

i.e.

Remaining Tea left = Total tea - Tea taken

                                = 0.345 - 0.04

                                = 0.305 kg

Therefore, the remaining tea = 0.305 kg

since 3/5 y is 6 to find what 1/5 y is we divide 6 by 3 which is 2 so 1/5 y=2. Now to find the value of y we multiply that by 5 and since 2*5=10 y=10. Also pls mark as brainliest answer

The lengths of BG = 5 and GE = 10.

Given:

G is the centroid and BE = 15

The centroid point g divides the segment BE in the ratio 2:1,

Centroid :

The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

segment:

In geometry, a line segment is bounded by two distinct points on a line.

GE is twice the length of BE

BG = 1/3 * BE

BG = 1/3 * 15

= 15/3

BG = 5

GE = 2/3 * BE

= 2/3 * 15

= 30/3

GE = 10

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To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

4000

Step-by-step explanation:

from 1 - 1000 = 300

1's    = 100

10's  = 100

100's = 100

1000's = 0

300 * 10 = 3000

then add in all the 3000's (ie 3001,3002, etc ) that adds one more thousand

3000 + 1000 = 4000

Answer:

3000?

Step-by-step explanation:

The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is closest to (d) 0.04

The margin of error is a statistic that describes how much random sampling error there is in survey results.

Given in question,

n = 400

p = 317/400

  = 0.7925

Confidence Level = 95%

                          = 0.95

Formula for margin error, E = \(z\sqrt{\frac{p(1-p)}{n} }\)

Confidence level corresponding to 95 % confidence interval, z = 1.96

Therefore,

Margin Error, E = \(1.96\sqrt{\frac{0.7925(1-0.7625)}{400} }\)

                         = 0.0397

                         ≈ 0.04

Hence, The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is 0.0397 which is closest to 0.04.

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The trigonometric function on the graph is:

f(x)= -cos(x)

So the correct option is B.

Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.

Notice that:

sin(0)= 0

cos(0) = 1

So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:

f(x) = -cos(x)

That is the graphed function.

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Answer:

The formula for the volume of a sphere is:

V = (4/3)πr^3

where V is the volume and r is the radius.

We know that the volume is 14130 m^3, so we can plug this into the formula:

14130 = (4/3)πr^3

To solve for r, we can divide both sides by (4/3)π and then take the cube root:

r^3 = (3/4) * (14130 / π)

r^3 ≈ 4241.67

r ≈ 15.73

Rounding to the nearest whole number, we get:

r ≈ 16

Therefore, the radius of the sphere is approximately 16 meters.

The equation that is equivalent to P = B + Brz is:

r = (P - B) / Bz

To see why, we can rearrange the original equation as follows:

P = B + Brz

P - B = Brz

(P - B) / Bz = r

Therefore, r = (P - B) / Bz is equivalent to P = B + Brz.

Now let's check the given options:

x = P/Br + 1/r

This equation is not equivalent to P = B + Brz.

r = (P - B) / Bz

This is the correct equation that is equivalent to P = B + Brz.

r = Bz / (P - B)

This equation is not equivalent to P = B + Brz.

B = P / (rz + 1)

This equation is not equivalent to P = B + Brz.

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The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

2,494

Step-by-step explanation:

if he put 2,494pieces together you repeated the same question

The ordered pairs that can be found on the inverse functions are: (8,-2), (5,-1), (2,0), (-1,1), (-4,2)

The attached image represents the missing information in the question

From the graph, we have the following ordered pairs:

(x,y) = (-2, 8), (-1, 5), (0,2), (1,-1) and (2,-4)

Next, we swap the coordinates:

(y,x) = (8,-2), (5,-1), (2,0), (-1,1), (-4,2)

Hence, the ordered pairs that can be found on the inverse functions are: (8,-2), (5,-1), (2,0), (-1,1), (-4,2)

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Answer:

(4;-1)

Step-by-step explanation:

A(-4;2)

B(-2;-1)

C(1;1)

D(-4;-1)

Answer:

-1;4

Step-by-step explanation:

The required probability is 0.970 (approx.) or 97/100 (in fraction).

Given that 69% of people in a large population have been vaccinated. We are required to determine the probability of at least one person being vaccinated if three people are randomly selected. Let's solve it using the complement rule.

The complement rule states that the probability of an event occurring is equal to 1 minus the probability of that event not occurring. That is, if A is an event, then P(A) = 1 - P(A').

We can solve the given problem using the complement rule as follows: Let P(A) be the probability of at least one person being vaccinated.

Then, the probability of no one being vaccinated is P(A') = (100 - 69) = 31%.

To find the probability of at least one person being vaccinated, we can subtract the probability of none of them being vaccinated from 1. That is, P(A) = 1 - P(A') = 1 - 0.31 × 0.31 × 0.31 = 1 - 0.029791 = 0.97021.

Hence, the probability of at least one person being vaccinated if three people are randomly selected is 0.97021 (rounded to 3 decimal places).

Therefore, the required probability is 0.970 (approx.) or 97/100 (in fraction).

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Answer:

32

Step-by-step explanation: xbcjxnszHJCGewupearl had some beads She used 3/5 of them to make bracelets and 1/4 of the remainder to decorate her sweater if she had 300 beads left how many beads did she have at first jdks

The measure of the angle that defines the given arc is 286.6°

For a circle with a radius R, the length of an arc defined by an angle θ in radians is given by:

L = θ*R

In this case, we know that the radius is 1 mile, and the length of the arc is 5 miles, replacing that on the above equation we get:

5mi = θ*1mi

5 = θ

Then the angle is 5 radians, now remember that:

3.14 rad = 180°

Then:

5 rad = (5/3.14)*180° = 286.6°

We conclude that the measure of the angle is 286.6°

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The exact length of the brace to the nearest foot is 16.

The Pythagorean theorem is a principle that can be used to determine the value of the unknown side of a right triangle, given that the values of the other sides are known.

The theorem can be expressed as;

/Hyp/^2 = /Opp/^2 + /Adj/ ^2

Given that the length of the wall of the room is 14 ft, and its height is 8 ft. Let the length of the diagonal brace be represented by t, so that;

t^2 = 8^2 + 14^2

     = 64 + 196

     = 260

t = (260)^1/2

 = 16.1245

t = 16 ft

The exact length of the brace to the nearest foot is 16.

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Answer:

\(1\ inch = 2\ feet\)

Step-by-step explanation:

Given:

\(Real\ tank\ measurement\ = 24\ feet\)

\(Scale\ measurement\ = 12\ inches\)

Required:

Scale Ratio.

To get the scale ratio, we simply divide the actual measurement by the scale measurement

This is done as follows:

\(Scale\ Ratio = \frac{Actual\ Measurement}{Scale\ Measurement}\)

\(Scale\ Ratio\ = \frac{24\ feet}{12\ inches}\)

[Divide numerator and denominator by 12]

\(Scale\ Ratio\ = \frac{2\ feet}{1\ inch}\)

[Convert the above expression to ratio]

\(Scale\ Ratio = 2\ feet : 1\ inch\)

The interpretation of this is that 1 inch on the scale measurement represent 2 feet on the actual measurements

The missing values are

<UTQ = 41 degree

x= 1

<UQT = 47 degree

We have a parallelogram QRST.

We know that the opposite sides of the parallelogram is equal and parallel then

QR || ST

QT || SR

Then, <SRT = <RTQ (<UTQ) (alternate Interior Angle)

<UTQ = 41

Similarly, <UQT = <SRQ = 47

Now, RU = UT

2x + 1= 3

2x = 2

x= 1

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Answer:

Input --- Output

1 ------------ 4

6 ------------9

8--------------11

Step-by-step explanation:

Given

Rule:

Output = Input + 3

Required

Complete the table

Represent the input with x and the output, y

So, the rule becomes

\(y = x + 3\)

When Input = 1

\(x = 1\)

\(y = x + 3\)

\(y = 1 + 3\)

\(y = 4\)

This means:

Output = 4

When Input = 6

\(x = 6\)

\(y = x + 3\)

\(y = 6+3\)

\(y = 9\)

This means:

Output = 6

When output = 11

\(y = 11\)

\(y = x + 3\)

\(11 = x + 3\)

\(x = 11 -3\)

\(x = 8\)

This means

Input = 8

So, the complete table is:

Input --- Output

1 ------------ 4

6 ------------9

8--------------11

The value of (x) that satisfy the equation → - 3 - 23x = - 14(x - 21) - 15(x + 33) is x = - 33.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given is the following equation -

- 3 - 23x = - 14(x - 21) - 15(x + 33)

The given equation is -

- 3 - 23x = - 14(x - 21) - 15(x + 33)

Simplifying for (x), we get -

- 3 - 23x = - 14x + 294 - 15x - 495

- 23x + 14x + 15x = 3 + 294 - 495

6x = - 198

x = - 33

Therefore, the value of (x) that satisfy the equation → - 3 - 23x = - 14(x - 21) - 15(x + 33) is x = - 33.

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Answer:

\(11\dfrac{3}{8}\text{cm}\)

Step-by-step explanation:

\(1\dfrac{5}{8}+2\dfrac{9}{16}+2\dfrac{9}{16}+4\dfrac{1}{8}=11\dfrac{3}{8}\)

Hope this helps!

Answer:

189

Step-by-step explanation:

(13.5 / 100) 1400 = 189

yw ;)

Note that given the above functions, the completed table is given as follows;

x g(h(x))

0 -11

1 7

2 25

3 43

4 85

To complete the table for g(h(x)), we need to first find the value of h(x) for each value of x in the table, and then substitute that value into the function g(x) to get the corresponding value of g(h(x)).

x h(x)                       g(h(x))

0 3(0)²-3                g(-3) = 2(-3)-5 = -11

1 3(1)²-3               g(6) = 2(6)-5 = 7

2 3(2)²-3               g(15) = 2(15)-5 = 25

3 3(3)²-3               g(24) = 2(24)-5 = 43

4 3(4)²-3              g(45) = 2(45)-5 = 85

Therefore, the completed table for g(h(x)) is:

x g(h(x))

0 -11

1 7

2 25

3 43

4 85

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Full Question:

Although part of your question is missing, you might be referring to this full question: See the attached table.

x+3y-9

Hope this helps!

5 "Always." Consecutive angles of a rectangle are always congruent.

6 "Never." A parallelogram is not always a square.

7 "Sometimes." In a rhombus, the diagonals are always perpendicular bisectors of each other, but they are not always congruent.

8 "Always." A rectangle has congruent sides, but not necessarily all four sides.

9 Given: ABCD is a parallelogram

To prove: AABC = ACDA

Proof:

AB || DC (definition of parallelogram)

AD || BC (definition of parallelogram)

∠ABC = ∠CDA (alternate interior angles)

AC = AC (reflexive property)

∠BCA = ∠DAC (alternate interior angles)

Therefore, AABC = ACDA (ASA congruence theorem)

10 Given: TRAP is an isosceles trapezoid

To prove: AAPR ARTA

TR = AP (definition of isosceles trapezoid)

∠APT = ∠ATR (alternate interior angles)

∠PAR = ∠RTA (alternate interior angles)

∠PAR = ∠APT (angles at a point)

Therefore, AAPR ARTA (AA congruence theorem)

Consecutive angles of a rectangle are always congruent. This is a property of rectangles that is true for every rectangle.

A square is a specific type of parallelogram that has all four sides congruent and all four angles right angles.

A rectangle has two pairs of opposite sides that are congruent, but the adjacent sides may have different lengths. This is a defining characteristic of rectangles, and it is always true for every rectangle.

The ASA congruence theorem states that two triangles are congruent if two angles and the included side of one triangle are congruent to the two angles and the included side of the other triangle. In this case, ∠ABC and ∠CDA are congruent by (3), AC is congruent by (4), and ∠BCA and ∠DAC are congruent by (5). Therefore, AABC = ACDA by the ASA congruence theorem.

The AA congruence theorem states that two triangles are congruent if two angles of one triangle are congruent to two angles of the other triangle, and the side between those angles is congruent in both triangles

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The percent cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.

We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage.

Let the cost price of rice is R and cost price of sugar is S.

Case 1 :  total cost of 5 kg rice and 6 kg sugar is Rs. 940.

5R + 6S = 940 ...(1)

Case 2 : rate of rice increased by 20% and the rate of sugar decreased by 10%.

The new cost price of rice = R + 20% of R = 1.2R

The new cost price of sugar = S - 10% of S = 0.9S

So, the total cost of 4 kg rice and 3 kg sugar will be Rs. 627.

Thus,

4 × 1.2R + 3 × 0.9S = 4.8R + 2.7S = 627 ..(2)

From equations (1) and (2) we have,

(5R + 6S)/(4.8R + 2.7R) = 940/627

R/S = 8/9

Hence, if the price of rice is 8 then the price of sugar is 9.

It is clear that the price of sugar is more than that of rice.

The percent cost by which cost of rice is less than sugar is:

(9 - 8)/ 9 (100) = 11 1/9%.

Hence, the cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.

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