in a certain country, 40% of registered voters are reublicans, 45% are democrats, and 15% are indepdents. what is the probability that a randomly selected voter opposes the bill

Answer:

both a and b are correct

Answer:

C. Neither type offers benefits unless you suffer a loss.

Total amount of money in the account will be $456.

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.

The formula for simple interest is: Simple Interest = Principal × Rate × Time

Principal (P) is $300

Rate (R) is 6.5%

Time (T) is 8 years.

Simple Interest = $300 × 0.065 × 8

Simple Interest = $156

Total Amount = Principal + Simple Interest

Total Amount = $300 + $156

Total Amount = $456.

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Answer:

Step-by-step explanation:

Use a distributive property.

Isolate the term of y from one side of the equation.

\(\Longrightarrow: \sf{A(B+C)=AB+AC}\)

⇒: 4(y+2)=32

First, divide by 4 from both sides.

\(\Longrightarrow:\sf{\dfrac{4(y+2)}{4}=\dfrac{32}{4} }\)

Solve.

⇒ 32/4=8

⇒ y+2=8

Subtract by 2 from both sides.

\(\Longrightarrow \sf{y+2-2=8-2}\)

Solve.

Subtract the numbers from left to right.

8-2=6

y=6

I hope this helps you! Let me know if my answer is wrong or not.

The range of the given equation is [-1, infinity).

We are given that;

Equation  y= underroot(x+5​)

Now,

The domain of this equation is the set of x values that make the expression under the square root non-negative.

That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).

The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.

Therefore, by the range the answer will be [-1, infinity).

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Answer:

y=(x−3)2−2

Step-by-step explanation:

The vertex form of a quadratic function isy=x^2-6x+7 , where x, y, are constants. of the parabola is at (x, y).

Answer:

186.

Step-by-step explanation:

By multiplying six by thirty one, you'll get every single way the instructor can choose six students from a class of thirty one students for a field trip.

The number of different ways that an instructor can choose 6 students from a class of 31 students for a field trip is 186.

We have a number of different ways that an instructor can choose 6 students from a class of 31 students for a field trip.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

By multiplying six by thirty-one, you'll get every single way the instructor can choose six students from a class of thirty-one students for a field trip.

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To find the unit price we need to all price divide by number of gallons, so

\(17.70\div5=3.54\)

Answer: The unit price is $3.54

Answer:

Unit price = 3.54$

Step-by-step explanation:

By using criss-cross method:

5 gallons -> $17.70

1 gallon -> ?

Unit price = 1x17.70 / 5 = 3.54$

Hope this helps..

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$45700\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &2 \end{cases}\)

\(A = 45700\left(1+\frac{0.12}{4}\right)^{4\cdot 2}\implies A=45700(1.03)^8 \implies A \approx 57891.39 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{earned interest}}{57891.39~~ - ~~45700} ~~ \approx ~~ \text{\LARGE 12191.39}\)

Person 3's payment exceeded person 2's payment by $20.

To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.

The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.

Step 1: Calculate the total number of parts in the ratio.

1 + 2 + 3 = 6

Step 2: Determine the value of one part.

$120 (total amount) divided by 6 (total number of parts) = $20

Step 3: Calculate the payments for each person based on the ratio.

Person 1: 1 part * $20 = $20

Person 2: 2 parts * $20 = $40

Person 3: 3 parts * $20 = $60

Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:

$60 - $40 = $20

Hence, person 3 paid $20 more than person 2.

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7 groups of 2/7 is equivalent to the whole, which is represented by the number 2.

When we have 7 groups of 2/7, we are essentially multiplying the fraction 2/7 by the whole number 7. To perform this operation, we can use the following formula:

a/b × c/d = ac/bd

where a, b, c, and d are any numbers, and a/b and c/d are two fractions.

In our case, a is 2, b is 7, c is 7, and d is 1. This is because we want to multiply 2/7 by 7 to get 7 groups of 2/7. Therefore, we can substitute these values into the formula:

2/7 × 7/1 = (2 × 7) / (7 × 1) = 14/7

The result is a fraction 14/7, which can be simplified to 2. This means that 7 groups of 2/7 is equal to 2. To simplify this further, we can say that if we divide a whole into 7 equal parts, each part is 2/7. If we have 7 of these parts, we have the whole.

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3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer:

the common ratio is 1/3

Step-by-step explanation:

dividing 36 by 108 gives you one third, or dividing 108 by 36 gives you three, but since you’re numbers are decreasing you have to take eh reciprocal and make it 1/3

Step-by-step explanation:

Using rule of logs

log2  x^3     =   3 log2  x

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

Answer:

what are the numbers my g

Step-by-step explanation:

The difference in temperature is 45.9F.

It is required to find the difference in temperature is F.

The degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.

Given that:

The temperature in a town is 32.1 during the day and -13.8 at night.

The difference is

32.1 - (-13.8)

= 32.1 + 13.8

= 45.9F

Hence, the difference in temperature is 45.9F.

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data is missing

The temperature in a town is 32.1 during the day and -13.8 at night.

Let

x -----> the regular price

Remember that

62%=62/100=0.62

The linear equation that represents this problem

0.62x=217

solve for x

x=217/0.62

x=$350

Answer:

\(g(x)=-7x+6\)

Step-by-step explanation:

Translations

For a > 0

\(f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}\)

\(f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}\)

\(f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}\)

\(f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}\)

Parent function:

\(f(x)=-7x+7\)

Translation of 2 units left:

\(\implies f(x+2)=-7(x+2)+7\)

Translation of 13 units up:

\(\implies f(x+2)+13=-7(x+2)+7+13\)

Simplifying:

\(\implies g(x)=-7(x+2)+7+13\)

\(\implies g(x)=-7x-14+7+13\)

\(\implies g(x)=-7x+6\)

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Answer:

the answer is 157

Step-by-step explanation:

7 +10= 17

17+20=37

37+40=77

77+80=157

157+160=317

At the beginning you add +10. Every sequence, you need to multiply that number x2. For example: 10 x 2=20...

The value of x in simplest radical form is x = \(\sqrt{17}\)

Explain Pythagoras theorem.

The Pythagorean Theorem (also known as the Pythagorean Theorem) is an important topic in mathematics that describes the relationship between the sides of a right triangle. The sides of a right triangle are also called Pythagorean numbers.

The Pythagorean theorem is basically used to find unknown side lengths and triangle angles. Using this theorem, we can derive the formulas for the base, perpendicular and hypotenuse.

Using Pythagoras theorem in both the triangles,

Find the hypotenuse in above triangle

\(h^2=P^2+B^2\)

\(h^2=4+4=8\)

h = \(2\sqrt{2}\)

Now, using Pythagoras theorem in below triangle,

\(h^2=P^2+B^2\)

\(5^2 = x^{2} + 8\)

25 = \(x^{2}\) + 8

\(x^{2}\) = 25 - 8 = 17

x = \(\sqrt{17}\)

Therefore, x = \(\sqrt{17}\)

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Answer:

17

Step-by-step explanation:

Using the base angles theorem, \(x+4=4x+1 \implies x=1\).

So, the perimeter is \(4(1)+1+1+4+7=17\).

The experimental research conducted by the scientist takes into account the following factors:

a)The change in temperature is the independent variable.

b) The effect of temperature on the chimp's act of aggression is the dependent variable.

c)The dependent variable is continuous.

d)The scale of measurement used to measure the dependent variable is interval.

e) The research method being used here is experimental.

In the above experiment the researcher wants to see the change in the aggression of the chimp when there is a change in temperature in the zoo.

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Answer:

4

Step-by-step explanation:

the factors are 1,2,4