1. A poll conducted in 2018 found that 54% of US adult Twitter users get at least some news on Twitter. The standard error for this estimate was 2.4%, and a normal distribution can be used to model the sample proportion. Construct a 99% confidence interval for the fraction of US adult Twitter users who get some news on Twitter, and interpret the confidence interval in context.

Answer: 32 sq m.

Step-by-step explanation: add 2,4,and 2 for length of bottom rectangle(8) then multiply that by 3 for area- 24. top would be multiplying 4 by 2- 8. Add 2 areas together and get 32.

Answer:

A person pushing a swing will make the swing rotate about its pivot.

A worker applies a force to a spanner to rotate a nut.

A person removes a bottle's cork by pushing down the bottle opener's lever.

A force is applied to a door knob and the door swings open about its hinge.

the answer is in the image look at the image to see

Answer:

1.5 teaspoons

Step-by-step explanation:

1/(3/4)

=4/3

9/8*4/3

=1.5 teaspoons

PLS GIVE BRAINLIEST

Answer:-3x - 12 + 5x

Step-by-step explanation:

Answer:

third chord length is 27.8088 cm

Between III and I chord is \(27^\circ57'30''\)

Between III and II chord is \(37^\circ36'30''\)

Step-by-step explanation:

The calculation of measurements of the triangle is shown below:-

By Cosine rule

\(BC^2 = (14.32)^2 + (18.64)^2 - 2\times 14.32 \times 18.64 cos\114^\circ26'\\\\ BC^2 = 773.330156\\\\ BC = \sqrt{773.330156}\)

BC = 27.8088 (it is the length of third chord)

By Sin rule

\(\frac{Sin A}{BC} = \frac{Sin B}{14.32} \\\\ \frac{Sin114^\circ26'}{27.8088} = \frac{Sin B}{14.32} \\\\ Sin B = \frac{14.32114^\circ26}{27.8088}\)

After solving this we will get

Sin B = 0.468829

\(<B = Sin^{-1} 0.468829\\\\ <B = 27^\circ 57'30''\)

Therefore

\(<A + <B + <C = 180^\circ\)

\(<C = 180^\circ - 114^\circ26'-27^\circ57'30''\\\\ <C = 37^\circ36'30''\)

Now,

third chord length is 27.8088 cm

Between III and I chord is \(27^\circ57'30''\)

Between III and II chord is \(37^\circ36'30''\)

The same is to be considered

Answer:

1 ticket - $4.25

5 tickets - $21.25

Step-by-step explanation:

12.75/3=4.25 which is one ticket then take the price of one ticket and multiply it by 5, 4.25*5=21.25.

Answer:

24 is the number. The sum of its digits is 6.

Step-by-step explanation:

There are four two-digit numbers the product of whose digits is 8: 18, 24, 42, and 81. Of these numbers, 24 is four times the sum of its digits:

24 = 4 × 6 = 4 × (2 + 4)

Answer:

6y - 75 > 135

y > 35

Step-by-step explanation:

Given parameters:

     Cost price of supplies = $75

      Profit per bird feeder  = $6

    Expected profit > $135

Unknown:

An inequality that models the total number of feeders Ethan must sell to have the expected profit = ?

Solution:

  Let the number of feeders must sell  = y

Profit = Selling price - Cost price

    Selling price = profit per bird feeder x number of feeders  = 6y

Now;

      6y - 75 > 135  is the inequality

We must no solve this;

     6y - 75 > 135;

  adding 75 to both sides;

     6y - 75 + 75 > 135 + 75

        6y > 210

  Divide 6 into both sides;

         y > 35

So, Ethan must sell more than 35 feeds to make a profit of more than $135

Answer: B

Step-by-step explanation:

A, C, and D are not functions--they don't pass the vertical line test (there's not a single value y for each value of x).

Answer:

1. $19,282.025

2.$3698

Step-by-step explanation:

1.

In order to calculate this, we can use the following formula:

\(\boxed{\bold{FV = PV(1 + \frac{r}{n})^{nt}}}\)

Where:

In this case, the following values would be used:

Plugging these values into the formula, we get:

\(FV = 3,294(1 + \frac{0.15}{4})^{4*12}\)

= $19,282.025

2

In order to calculate this, we can use the following formula:

\(\boxed{\bold{FV = PVe^{rt}}}\)

Where:

In this case, the following values would be used:

Plugging these values into the formula, we get:

\(FV = 2,580e^{0.03*12}\)

= $3,697.99=$3698

For each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

Let's assume that x pounds of Guatemalan coffee are used per pound of the blend.

Given information:

Cost of Guatemalan coffee = $11/lb

Cost of the other coffee = $5/lb

Desired cost of the blend = $8/lb

Total weight of the blend = 6 pounds

To find the ratio of Guatemalan coffee to the total blend, we can set up the equation:

\((x \times 11 + (6 - x) \times 5) / 6 = 8\)

In this equation, \((x \times 11)\) represents the cost of the Guatemalan coffee in the blend, and\(((6 - x) \times 5)\) represents the cost of the other coffee in the blend.

The numerator is the total cost of the blend, and we divide it by 6 (the total weight of the blend) to find the cost per pound.

Now, let's solve the equation for x:

(11x + 30 - 5x) / 6 = 8

6x + 30 = 48

6x = 48 - 30

6x = 18

x = 18/6

x = 3

Therefore, for each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

To summarize, to achieve a cost of $8 per pound for a 6-pound bag of blend, Cold Beans should use 3 pounds of Guatemalan coffee per pound of the blend.

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Answer:

1/3776965920

Step-by-step explanation:

1/42 x 1/41 x 1/40 x 1/39 x 1/38 x 1/37 = 1/3776965920

The value of the inverse of the equation is this: x³ -3 = y

To find the inverse of the equation follow these steps:

1. Replace H(x) with y.

y = (x + 4)³ - 1

2. Interchange the values of X and Y.

X = (y + 4)³ - 1

3. Find the cube root of both sides

x³ = y + 4  - 1

4. Find the value of y

x³ - 4 + 1 = y

x³ -3 = y

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

4

Step-by-step explanation:

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equations are given below.

6x = 52 - 2y

6x + 2y = 52

3x + y = 26                   ...1

5x + 7y = 70

(5/7)x + y = 10              ...2

Subtraction equation 2 from equation 1, then we have

3x - (5/7)x = 26 - 10

(16/7)x = 16

x = 7

Then the value of 'y' is given as,

3(7) + y = 26

21 + y = 26

y = 5

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

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The correct estimate is 2000. Thus, Lenore’s estimate is not reasonable

Estimation is a method used for calculating the approximate value of a quantity (just to get a 'rough answer')

In estimation 1, 2,3, and 4 are rounded down while 5, 6, 7, 8 and 9 are rounded up.

Given:  51 x 37

In order round each factor to the nearest ten to estimate the reduction

51 will be rounded down to 50 (because of the 1 after the 5 in 51)

37 will be rounded up to 40 (because of the 7 after the 3 in 37)

Thus, the estimate will be:

50 x 40 = 2000

Therefore, Lenore’s estimate is not reasonable because she rounded down 37 to 30

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Answer:

12t² - 9t - 2

Step-by-step explanation:

Combine like terms. Like terms have same variable with same exponents.

(7t² - 6t-4) + (5t² - 3t+2) = 7t² - 6t-4 + 5t² - 3t+2

                                      = 7t² + 5t²   - 6t - 3t  - 4 + 2

                                       =  12t² - 9t - 2

Step-by-step explanation:

after the first year its 10000÷100*8+10000=10800. after the second year its 10800÷100*8+10800=11664. after the third year its 11664÷100*8+11664=12597.12. and after the fourth year its 12597.12÷100*8+12597.12=13,604.8896$. If you want you can round it up to 13,605$

Answer:

-2 < x ≤ 6

Step-by-step explanation:

This graph shows conjunction. This means that the two statements of the inequality bare true at the same time. Therefore, it follows that:

x > -2 ("we use greater than" because the empty/unshaded circle indicates that -2 is not included)

And

x ≤ 6 (we use greater than or equal to because the shaded circle indicates 6 is included)

Joining both statements together, we would have:

-2 < x ≤ 6

Answer:

113° = y

Step-by-step explanation:

y = 180 - 67

y = 113°

Hope this helps!

The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.

To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...

By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.

Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.

Let's calculate the differences between consecutive terms:

-45 - (-39) = -6

51 - (-45) = 96

57 - 51 = 6

From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.

Let's calculate the ratios between consecutive terms:

-45 / (-39) ≈ 1.1538

51 / (-45) ≈ -1.1333

57 / 51 ≈ 1.1176

The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.

Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.

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Answer:

The square root of 50 is approximately 7.07.

Answer:

7.07106781187...

Step-by-step explanation:

its an irrational number

The rocket is 64 feet high at 3±√5 seconds.

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Answer: 32,500

Step-by-step explanation: i don't know

Answer:

32500

Step-by-step explanation:

Without using a calculator

625*52 = (625*4) * (52/4) = 2500 * 13 = 32500