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The equation on solving by factoring method yields no solution.

In this question,

A no solution equation is also known as contradiction. This type of equation is never true, no matter what we replace the variable with. There is no value that will ever satisfy this type of equation.

The equation is -(3z+4)=6z-3(3z+2)

Solving the equation by factoring gives,

⇒ -(3z+4) = 6z-3(3z+2)

By distributive property,

⇒ -3z - 4 = 6z - 3(3z) - 3(2)

⇒ -3z - 4 = 6z - 9z - 6

⇒  -3z - 4 = -3z - 6

On rearranging the equation,

⇒ -3z + 3z = -6 + 4

⇒ 0 = -2

Here LHS is not equal to RHS. Thus the equation on solving by factoring method yields no solution.

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21 minute to fill a round wading pool with a diameter of 6 ft. and a depth of 1.5 ft.

The amount of water that flows from a garden hose in 1 minute is about 2 ft.3

It take to fill a round wading pool with a diameter of 6 ft. and a depth of 1.5 ft.

Given:

d = 6, r = d/2 = 6/2 = 3

h = 1.5.

Volume = πr²h

             = 3.14×3×3×1.5

            = 42.39

The amount of water that flows from a garden hose in 1 minute is about 2 ft.

42.39 ÷ 2 = 21.19.

Therefore, 21.19 minute take to fill a round wading pool with a diameter of 6 ft. and a depth of 1.5 ft.

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Answer:

k=6

Step-by-step explanation:

subtract 5 from both sides

4(k-1)=20

divide 4 on from both sides

k-1=5

add 1 on both sides

k=6

\(\huge\bf{ANSWER:}\)

\(\huge\mathrm{k=6}\checkmark\)

\(\huge\bf{SOLUTION:}\)

Hey there, hope you are enjoying your day! :)

Let's solve this math problem. First of all, let's use the Distributive Property:

\(\rm{5+4(k-1)=25\)

\(\rm{5+4k-4=25\)

Now, move all the constants (numbers without a variable next to them) to the right, using the opposite operation:

\(\rm{4k=25-5+4\)

\(\rm{4k=20+4\)

Add:

\(\rm{4k=24\)

Divide both sides by 4 in order to isolate k:

\(\rm{k=6}\) (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

\(\bf{-MistySparkles^**^*\)

Answer:

Point Form:

(7/5, -3/10)

if this helped you please give me brrainliest. I would appreciate it :)

Answer:

$8206.37

Step-by-step explanation:

According to the Question,

Given, Some money should be deposited in an account today that earns 4% interest Annually. but it is compounded monthly so (4/12)% Will be the new interest Rate .

Now, What Money Should be Invested For 5 years(60 months) to get $10000 in Return .

The Formula for Compound interest is  \(A=P(1+\frac{r}{n})^{nt}\) .

We have, r=4% , n=12 , t=5 & A=$10000 Put These all value in above equation.

\(10000=P(1+\frac{0.04}{12})^{60}\)

\(P= \frac{10000}{1.0033^{60} }\)   ⇔ $8206.37 Should be invested .

The volume of a sphere with a radius of 3cm is 113.04 cm³, which is approximately equal to 36π cm³. So, the correct option is D).

The formula for calculating the volume of a sphere, V = 4/3πr³, is used to find the amount of space enclosed by a sphere with a given radius. In this case, the sphere has a radius of 3cm. By substituting this value into the formula, we can solve for the volume of the sphere.

V = 4/3πr³

V = 4/3 × 3.14 × 3³ = 113.04 cm³

= approximately 36π cm³

The result is 113.04 cm³, which is approximately equal to 36π cm³. This calculation is important in many applications, such as engineering, physics, and mathematics. The correct answer is D).

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_____The given question is incomplete, the complete question is given below:

What is the volume of sphere r = 3cm? responses A 8π cm³ 8 pi, cm³  B 16π cm³ 16 pi, cm³ C 27π cm³ 27 pi, cm³ D 36π cm³

The expression 10.2x + 9.4y when x = and y = 3 is 38. 4

An algebraic expression can be defined as an expression that is composed of terms, constants, coefficients, variables and factors.

These algebraic expressions are also made up of mathematical operations such as;

From the information given, we have the algebraic expression;

10.2x + 9.4y

Now, let's substitute the values of x as 1 and y as 3 into the expression, we have;

10.2(1) + 9.4(3)

expand the bracket

10. 2 + 28. 2

Add the values

38.4

Hence, the value is 38.4

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Answer:

see explanation

Step-by-step explanation:

The nth term of a geometric sequence is

\(a_{n}\) = a₁ \(r^{n-1}\)

where a₁ is the first term and r the common ratio

(1)

a₁ = 2 and r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-6}{2}\) = - 3 , then

\(a_{n}\) = 2 \(-3)^{n-1}\)

(2)

a₁ = 5 and r = \(\frac{10}{5}\) = 2 , then

\(a_{n}\) = 5 \((2)^{n-1}\)

Answer:

21.74 But if it tells you to round I would round to 21 lbs

Step-by-step explanation:

its basically just a ratio of 92 to 20

92/20=4.6

92-20=72% the amount that is lost

so given that the plum is 100 lbs we know that 72% is depleted

(72/92 = .78)X100= 78 lbs depleted

Lastly 100-78 =22 for the remaining weight of the prunes.

Unicode value of 66, which is the letter "B". Therefore, the correct answer to this question is option B: "B".

The terms you mentioned are related to the Unicode character encoding standard and the concept of evaluating expressions. When discussing the expression "A" + 1, it's essential to note that the Unicode value for the character "A" is 65.

The expression "A" + 1 is attempting to add a numerical value (1) to a character ("A"). In many programming languages, this operation is allowed, and the result would be based on the Unicode values of the characters involved. Since the Unicode value for "A" is 65, adding 1 to it would result in a new Unicode value of 66. Consequently, the evaluated expression would correspond to the character with the Unicode value of 66, which is the letter "B". Therefore, the correct answer to this question is option B: "B".

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The answer is:

Work/explanation:

Our equation is

-10 = x - 7

Flip

x - 7 = -10

Add 7 on each side

x = -10 + 7

Hence, the answer is x = -3.

The point estimate for the proportion of preschool children in Hillsborough County who are not vaccinated is 0.6 or 60%.

The point estimate for the true proportion of preschool children in Hillsborough County who are not vaccinated can be calculated by dividing the number of unvaccinated children in the sample by the total number of children in the sample

Point estimate = Number of unvaccinated children / Total number of children in sample

Since the sample size is 150 and the number of vaccinated children is 60, the number of unvaccinated children can be found by subtracting the number of vaccinated children from the total sample size

Number of unvaccinated children = Sample size - Number of vaccinated children

Number of unvaccinated children = 150 - 60 = 90

Therefore, the point estimate for the proportion of preschool children in Hillsborough County who are not vaccinated is

Point estimate = 90/150 = 0.6 or 60%

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The given question is incomplete, the complete question is:

A research team conducted a survey to check what proportion of preschool children in the hillsborough county who are not vaccinated. a random sample of 150 preschool children in hillsborough county revealed that only 60 had been vaccinated. what is the point estimate for the true proportion?

Answer:

D

Step-by-step explanation:

1254 Revolutions of the wheel will it take to travel 1,200 meters. Hence, the correct option is (d) 1,254 revolutions.

Given information:

Diameter of a child's bicycle wheel = 12 inches Circumference of the wheel = diameter × π≈ 12 × 3.14 = 37.68 inches ≈ 37.7 inches distance traveled = 1,200 m = 1,200 × 39.3701 inches (since 1 meter ≈ 39.3701 inches) = 47244 inchesTo find: Approximately how many revolutions of the wheel will it take to travel 1,200 meters?

Formula: Total distance travelled = a number of revolutions × circumference of the wheel Number of revolutions = total distance traveled ÷ circumference of the wheel Calculation: Substitute the given values in the above formula Number of revolutions = 47244 ÷ 37.7 ≈ 1254

So, approximately 1254 revolutions of the wheel will it take to travel 1,200 meters. Hence, the correct option is (d) 1,254 revolutions.

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Answer:

1st:  81.8

2nd:  82

3rd:  Language arts class

Step-by-step explanation:

1st:  We're told that f(x) = 0.4x + 81 represents the avg. test score in your language arts class, where x is the number of the test taken.  We know then that f(x) is the average test score.  Thus, to find the average test score for test 2, we plug in 2 for x into the function:

f(2) = 0.4(2) + 81

f(2) = 0.8 + 81

f(2) = 81.8

2nd:  Although we're not given the formula for g(x), we know that it is linear and have enough information to find the formula.

The general form for a linear formula is y = mx + b, where m is the slope (change in y / change in x) and b is the y-intercept (point for y when x = 0)

We can find the slope using the slope formula, which is:

\(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

We can use any two consecutive points to find the slope:

*Note that y is synonymous with g(x)

Thus, if we allow (1, 84) to represent x1 and y1 and (2, 82) to represent x2 and y2, our slope is:

\(m=\frac{82-84}{2-1}\\ m=-2\)

Now, we can choose any point like (1, 84) and plug in the point and the slope we've found to find b or our y-intercept:

\(84=-2(1)+b\\84=-2+b\\86=b\)

Thus, the formula for g(x) is g(x) = -2x + 86.

Like we did for f(x), we can simply plug in 2 for x to find the average test score for test 2 in your social studies class:

g(2) = -2(2) + 86

g(2) = -4 + 86

g(2) = 82

Third: To find which class had a higher average after completing test 4, we plug in 4 into each function:

f(4) = 0.4(4) + 81

f(4) = 1.6 + 81

f(4) = 82.6

g(4) = -2(4) + 86

g(4) = -8 + 86

g(4) = 78

Therefore, the language arts class had a higher average score for test 4 than the social studies class.

Answer:

if an input produces more than one output, the table does not represent a function. In this case, table D is not a function. the x value 0 has three different output values, -1, 4, and 6; the input 2 also has three different output values.

The four common denominators are 6,12, 18 and 24.

A fraction is a non-integer. It is made up of numerators and denominators. An example of a fraction is 2/3. 2 is the numerator and 3 is the denominator.

The common denominators for the fractions are numbers that would divide both 2 and 3. This numbers can be determined by multiplying 2 and 3 and finding the multiple of the product.

2 x 3 = 6

Multiples of 6 = 6, 12, 18, 24

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To find a function g(x) that results in a uniformly distributed y = g(x) on the interval [0,1], we can use the inverse transformation method. This involves using the inverse of the cumulative distribution function (CDF) of the uniform distribution.

The CDF of the uniform distribution on [0,1] is simply F(y) = y for 0 ≤ y ≤ 1. Therefore, the inverse CDF is F^(-1)(u) = u for 0 ≤ u ≤ 1.

Now, let's define our function g(x) as g(x) = F^(-1)(x) = x. This means that y = g(x) = x, and since x is uniformly distributed on [0,1], then y is also uniformly distributed on [0,1].

In summary, the function g(x) = x results in a uniformly distributed y = g(x) on the interval [0,1].
Hello! I understand that you want a function g(x) that results in a uniformly distributed variable y between 0 and 1. A simple function that satisfies this condition is g(x) = x, where x is a uniformly distributed variable on the interval [0, 1]. When g(x) = x, the variable y also becomes uniformly distributed over the same interval [0, 1].

To clarify, a uniformly distributed variable means that the probability of any value within the specified interval is equal. In this case, for the interval [0, 1], any value of y will have the same likelihood of occurring. By using the function g(x) = x,

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Answer:

180

Step-by-step explanation:

60 * 4 = 240

240 / 20 = 12 groups of 20

12*15 = 180

180 cookies

The chance of finding both turtle doves can be calculated by multiplying the probability of finding the first turtle dove by the conditional probability of finding the second turtle dove given that the first one was found.

Let's denote the event of finding the first turtle dove as A and the event of finding the second turtle dove as B. We are given that the probability of finding A is 0.8 and the conditional probability of finding B given A is 0.6.

The chance of finding both turtle doves can be calculated as follows:

P(A and B) = P(A) * P(B|A)

Substituting the given probabilities, we have:

P(A and B) = 0.8 * 0.6

Calculating the product, we find:

P(A and B) = 0.48

Therefore, the chance of finding both turtle doves is 0.48 or 48%.

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Answer:

A, B, D, E

Step-by-step explanation:

Given expression:

When multiplying decimals, multiply as if there are no decimal points:

\(\implies 6 \times 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 5 digits.

Put the same number of total digits after the decimal point in the product:

\(\implies (0.06) \cdot (0.154)=0.00924\)

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

Answer option A

\(\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}\)

When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.

Therefore:

\(\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)\)

Therefore, this is a valid answer option.

Answer option B

\(\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}\)

Multiply the numbers 6 and 154:

\(\implies 6 \times 154 = 924\)

Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).

\(\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924\)

Therefore, this is a valid answer option.

Answer option C

\(\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}\)

Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:

\(\implies 6 \cdot 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 3 digits.

Put the same number of digits after the decimal point in the product:

\(\implies 0.924\)

Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.

Answer option D

\(\boxed{6 \cdot 154 \cdot (0.00001)}\)

Again, employing the technique of multiplying decimals.

As there are a total of 5 digits after the decimals:

\(\implies 6 \cdot 154 \cdot (0.00001)=0.00924\)

Therefore, this is a valid answer option.

Answer option E

\(\boxed{0.00924}\)

As we have already calculated, (0.06) · (0.154) = 0.00924.

Therefore, this is a valid answer option.

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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Answer: X = 2

Step-by-step explanation:

2x + 7 = -9 - 6x

subtract 7 from both sides

2x = - 16 - 6x

add 6x to both sides

8x = 16

divide 16 by 8

x = 2

Answer:

x=-2

Step-by-step explanation:

add the 6x to the other side & combine the 2x+6x then subtract the 7 to the other side so combine the -7--9

so you would get 8x=-16 then divide by 8 & you get x=-2

There are approximately 28,086.75 liters of air in the given room.

To find the number of liters of air in the room, we need to calculate the volume of the room in cubic centimeters (cm³) and then convert it to liters (L).

First, let's convert the measurements from feet to centimeters using the conversion factor provided:

11.0 ft = 11.0 ft × 12 in./ft × 2.54 cm/in. = 335.28 cm

8.00 ft = 8.00 ft × 12 in./ft × 2.54 cm/in. = 243.84 cm

Next, we calculate the volume of the room in cubic centimeters:

Volume = length × width × height

Volume = 335.28 cm × 335.28 cm × 243.84 cm = 28,086,747.17 cm³

Finally, we convert the volume from cubic centimeters to liters using the conversion factor:

Volume in liters = Volume in cm³ / (103 cm³/L) = 28,086,747.17 cm³ / (103 cm³/L) ≈ 28,086.75 L

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Answer: $166.67

Step-by-step explanation:

4(t + 25) = 4(t + 50) - 4(0.15t)

Step 1: Simplify the equation given.

4(t + 25) = 4(t + 50) - 4(-0.15t)

4t + 100 = 4t + 200 - 0.6t

4t + 100 = 3.4t + 200

Step 2: Move all the variables to one side.

4t + 100 = 3.4t + 200

-3.4t           -3.4t

0.6t + 100 = 200

Step 3: Solve the equation for t.

0.6t + 100 = 200

        - 100    -100

0.6t = 100

100 ÷ 0.6 = 166.6667 = t

Step 4: Since we are talking about money round the answer to the nearest hundredth.

166.6667 → 166. 67

The ticket price $166.67 will have the same total cost for both airlines.

Answer:√29.5= 5.43139

Step-by-step explanation:

Answer: 32 every month or day. if its every month the answer is 384, if its every day it would be 11680

Step-by-step explanation:

Given:

Find the amount of interest:

Find the balance after one year:

Its 10.4 you are correct