Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos" or those polled, 483 were in favor, 398 were opposed and 123 were unsure. A politician claims that people don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin loss. Exclude the 123 subjects who said that they were unsure, and use a 0.01 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5 What does the result suggest about the politician's claim?​

In linear equation, -(x - 1) ( 5x² +  3) is the solution of equation.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

4) 2x⁵+4x³-6x²-12 ⇒  2(x² + 2) (x³ - 3)

5) 3x⁷ - 8x⁶-9x⁵+24x⁴   ⇒ x⁴(3x - 8) (x² - 3)

6)  -5x³ + 10x²- 3x + 6   ⇒  -(x - 1) ( 5x² +  3)

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

We have a total of seven 4-tuples that satisfy the given relation.The given relation is {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}. It can be understood as the set of 4-tuples (a, b, c, d) such that a, b, c, and d are positive integers and their sum is equal to 6.

Let's now list all the possible 4-tuples that satisfy the given relation. The possible combinations are as follows: (1, 1, 1, 3), (1, 1, 2, 2), (1, 2, 1, 2), (2, 1, 1, 2), (1, 2, 2, 1), (2, 1, 2, 1), and (2, 2, 1, 1).

Here's a brief explanation on how these 4-tuples were obtained. Let a, b, c, and d be positive integers such that a+b+c+d = 6. The least possible value that each variable can take is 1.

So, we start with a=1 and find all possible values of (b, c, d) that satisfy the given equation. Then, we move to a=2 and repeat the process. Finally, we list all the possible 4-tuples that we obtained.

Thus, we have a total of seven 4-tuples that satisfy the given relation.

For more question on integers

https://brainly.com/question/929808

#SPJ8

Answer:

3 (-4)² - 3(-4) + 1/-4

= 3(16) + 12 - 1/4

= 48 + 12 - 1/4

= 59.75

Answer:

Step-by-step explanation:

m is the dependent variable; it represents the value of a linear function of k:

m = f(k) = k + 3

Answer: its nit the 3rd one i just took the test

Step-by-step explanation:

Answer:

2,4 3,5

Step-by-step explanation:

Answer:

  y = 2^-x

Step-by-step explanation:

The graph appears to be a decaying function with a horizontal asymptote of 0. This matches an exponential function with a negative exponent.

  y = a·b^-x

The y-intercept is 1, so the function multiplier is 1.

The value at x=-1 is 2, so the base of the exponent could be 2. (at x=-2, the value is 4, confirming this choice)

The function appears to be ...

  y = 2^-x

Answer:

The substance decays by 7.5% every year

Step-by-step explanation:

Answer: Height = 20 inches, Width = 36 inches

Step-by-step explanation:

Let the height be \(h\) and the width be \(h+16\).

Using the formula for the perimeter of a triangle,

\(2(h+h+16)=112\\\\2(2h+16)=112\\\\2h+16=56\\\\2h=40\\\\h=20 \implies h+16=36\)

The expression 48 − 8 × 48−8x48 is factored to give an equivalent expression 8(6 − x) × 48, where 8, 6, and x are terms of the expression. Factoring is the method of expressing a polynomial as the product of other polynomials. The term minus refers to subtraction, and the operation of subtraction is used to subtract 8 × 48 from 48 to get a result of 16.

The expression to factor is 48 − 8 × 48−8x48. Factoring the expression 48 − 8 × 48−8x48 gives an equivalent expression 8(6 − x) × 48, where 8, 6, and x are terms of the expression.

In mathematics, factoring is the method of expressing a polynomial as the product of other polynomials. The factored expression 8(6 − x) × 48 can be expanded back to the original expression by multiplying the individual factors with each other.

The term minus refers to subtraction. In this context, the operation of subtraction is used to subtract 8 × 48 from 48, yielding a result of 16. This result is multiplied by 48 − 8x48 to get the original expression 48 − 8 × 48−8x48.

Therefore, the equivalent expressions are 48 − 8 × 48−8x48 and 8(6 − x) × 48, where 8, 6, and x are terms of the expression.

For more questions on expression

https://brainly.com/question/1859113

#SPJ8

Answer:

An increase of $0.94

Step-by-step explanation:

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

for such more question on perpendicular

https://brainly.com/question/18991632

#SPJ8

Answer:

96.72

Step-by-step explanation:

Answer:

96.77

Step-by-step explanation:

pi is 3.142

radius = 15.4ft

c = 2*3.142*15.4

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

Learn more about LCM here :

https://brainly.com/question/6756370

#SPJ1

Answer:

43.6 has 3 significant figures.

The number line that shows the solutions of x < 5

A number line is a visual representation of the real numbers, ordered from left to right, with zero in the middle. It is typically a straight line that extends infinitely in both directions, with evenly spaced markings that represent specific points along the line.

The solution of x < 5 should consist of number less than 5

The inequality used is less than and hence should have values saying less than

Other options has numbers more than 5 such as 6 except option B

Learn more about number line at:

https://brainly.com/question/25230781

#SPJ1

Answer:

three

P A R

A R A D

A D I S E 

P Q R

A B C D

A B C D E

There are three such pairs of letters. 

So

Hence

Option A

Answer:

Option A

Step-by-step explanation:

y=4x+10

So

Put x ax 12°C

Hence

y=4(12)+10

y=48+10

y=58

For this expression (3m - 2n)³ = (9m² -12mn + 4n²)

1)Let's remember the difference of two cubes

(a -b)³ = a³ -3a²b +3ab²-b³

(3m - 2n)³ = (3m)³ -3 (3m)²(-2n) +3(3m)(-2n)²-(2n)³ = 27m³ -54m²n +36mn²-8n³

27m³ -54m²n +36mn²-8n³ = 9m² -12mn + 4n²

2) Combining Like terms:

27m³ -54m²n +36mn²-8n³ -9m² +12mn+4n² =0

Since we can't get a simpler version of it. Let's keep with that.

Answer:

4

Step-by-step explanation:

that is what i think it is i am almost positive

Answer:

I need degrees and numbers to figure out the answers

Answer:

Step-by-step explanation:

174

Answer:

i believe its 26

Step-by-step explanation:

please mark brainliest if right

Answer:

Additive inverse of (5-6) is (6-5),

------------------------------

So:

(5-6)+(6-5)=0

5-6+6-5=0

5-6=-6+5

-------------------------

Left <--- -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6 ---> Right

Move 5 places to the right of -6 and you should land on -1.

Answer:

i cant put the picture

Step-by-step explanation:

d. Median=33;Q1=25 the median is represented by the line in between the two boxes. Q1 is represented by the line on the far left of the box in the picture Q1 is marked for quadrent 1 and m is for median

Answer:

Since the polynomial is of degree 5 and has three known roots, it has two unknown roots. If the coefficients of the polynomial are real, then the two unknown roots must be either real or a conjugate pair of complex numbers. If the coefficients of the polynomial are complex, then the two unknown roots can be any complex numbers. Therefore, the statement that describes the number and nature of all roots for this function depends on whether the coefficients of the polynomial are real or complex.

Answer:

The right equation will be "\(x^2+15x-54 =0\)".

Step-by-step explanation:

According to the question,

Border around the photograph on the top is:

= 3 cm

The remaining sides,

= 4 cm

Area,

= 10 square cm

Let the length of sides be "x".

Since,

The paper's dimensions will be:

⇒ \((x+3+4)\)

    \((x+7)\)

and

⇒ \((x+4+4)\)

    \((x+8)\)

now,

⇒ \((x+7)(x+8)=110\)

⇒ \(x^2+7x+8x+56=110\)

⇒         \(x^2+15+56=110\)

On subtracting "56" from both sides, we get

⇒       \(x^2+15x-56=110-56\)  

⇒               \(x^2+15x=54\)

Or,

⇒       \(x^2+15x-54=0\)

The amount received from loans as a number in millions is 242,700 million rand.

Deducing value A requires computation of collective income sources, for which the following summation suffices:

Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A

In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.

Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:

Total Income - Total Expenditure = B

(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B

Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.

Learn more about word problem on

https://brainly.com/question/21405634

#SPJ1

Answer:

I think option B

Step-by-step explanation:

Should privately-owned companies be subjected to intrusive governmental regulation and oversight?

This question will produce an unbiased answer either a yes or a no. The question is simple and not too loaded and it is direct without including an inclination to bend to a particular direction. It will produce unbiased responses in that no comment was made about the admittance to large accounting irregularities.

The number on the left in the synthetic division form is the root of the divisor polynomial. The root of x-5 is 5

The numbers on the right are the coefficients of the dividend polynomial: 1 -3 4

The correct answer is option B

(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

Read more on reflection here: brainly.com/question/27912791

#SPJ1