-2h - 3 > 7
Identify al values of h
-5
5
0
2
-7
-9

Answer:

square is a type of ___________.

Step-by-step explanation:

Polygons

Answer: A

Step-by-step explanation:

(9*10^9)*(-2*10^-3)=

9*(-2)*10^9*10*-3=

-18*10^(9+(-3))=

-18*10^(9-3)=-18*10^6 ==> A

\((9\cdot 10^9)\cdot (-2\cdot 10^{-3})\implies (9)(-2)\qquad (10^9\cdot 10^{-3}) \\\\\\ (-18)\qquad (10^{9-3})\implies -18\cdot 10^6\)

Answer:

The maximum number of rides is 16

Step-by-step explanation:

She has a total of $50 and spends $3 for the cake and $5 for admission. She has to spend $2.50 for every ride.

Your equation would be set up as:

$50=$5+$3+$2.50x

You would combine like terms and get

$50=$8+$2.50x

Subtract the $8 from $50 and you get

$42=$2.50x

Divide each number by 2.50 and you get

16.8=x, you cannot have a decimal as an answer since she cannot ride eight tenths of a ride so the maximum number of rides is 16

The proof is not valid, nor does it prove that 4 is equal to 3

This evidence is not true.

The error occurs in the step involving factoring, where both sides of the equation are divided by (a + b - c).

The problem is that if (a + b - c) equals zero, it is not permissible to divide both sides of the equation by (a + b - c) because it is not defined to be divided by zero

Moreover, even if (a + b - c) is not equal to zero, dividing both sides by (a + b - c) does not result in an equation

In this particular case, the fact that 4(a + b - c) = 3(a + b - c) implies that (a + b - c) = 0 or 4 = 3. One valid conclusion only if 4 = 3 is false.

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Randy needs 8 loads.

To find the answer on the question we have to follow the method of multiplication and division .

A washing machine can hold \(\frac{3}{4}\) kg of laundry in each load.

\(\frac{3}{4}\) kg of laundry is equal to 1 load.

\(\frac{3}{4}\) kg of laundry =  1 load

1 kg of laundry  =  \(\frac{1 * 4}{3}\) load ( following the method of division )

1 kg of laundry = \(\frac{4}{3}\) load

Randy has 6kg of laundry.

So, 1kg of laundry i.e \(\frac{4}{3}\) load is to be multiplied by 6.

6kg of laundry = \(\frac{4 * 6}{3}\) load ( following the method of multiplication)

                         = 8 loads

Hence, Randy needs 8 loads.

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We can write:

19950 = 75 x 2² x 3² x 5² - 50 x 2 x 5² x 11 + 45 x 2 x 3² x 11 + 5 x 2 x 3² x 5²

(i) To decompose the expression x²+x+1, we need to factorize it. However, this expression cannot be factored over the real numbers. Therefore, it cannot be decomposed into partial fractions.

For the expression (x+3)(x²-x+1), we can use partial fraction decomposition as follows:

(x+3)(x²-x+1) = A(x+3) + Bx + C

Expanding the right-hand side and equating coefficients with the left-hand side, we get:

x³ + 2x² - 2x + 3 = Ax² + (B+3A)x + (C+3B)

Equating coefficients of like terms, we get the following system of equations:

A = 1

B+3A = 2

C+3B = 3

Solving this system of equations, we get A=1, B=-1, and C=2.

Therefore, we can write:

(x+3)(x²-x+1) = (x-1) + 2/(x+3)

For the expression x-x³-2x²+4x+1, we can factor out an x-1 from the first three terms to get:

x(x-1)² - (x-1) + 5

Now, we can use partial fraction decomposition for the expression (x-1) + 5/x(x-1)² as follows:

(x-1) + 5/x(x-1)² = A/(x-1) + B/(x-1)² + C/x

Multiplying both sides by x(x-1)², we get:

(x-1)x(x-1) + 5(x-1) = Ax + Bx(x-1) + C(x-1)²

Expanding the right-hand side and equating coefficients with the left-hand side, we get:

x³ - x² - 6x + 5 = (B+C)x² + (-2B-2C+A)x + (C-5B)

Equating coefficients of like terms, we get the following system of equations:

B + C = 0

-2B - 2C + A = -1

C - 5B = -6

Solving this system of equations, we get A=-4, B=2, and C=-2.

Therefore, we can write:

x-x³-2x²+4x+1 = (x-1)²(2-x) - 4/(x-1) + 2/(x-1)² - 2/x

(ii) To decompose 19950 into partial fractions, we need to factorize it first. We can write:

19950 = 2 x 3² x 5² x 11

Now, we can use partial fraction decomposition for the expression 1/19950 as follows:

1/19950 = A/2 + B/3² + C/5² + D/11

Multiplying both sides by 19950 and simplifying, we get:

A x 3² x 5² x 11 + B x 2 x 5² x 11 + C x 2 x 3² x 11 + D x 2 x 3² x 5² = 1

Equating coefficients of like terms, we get the following system of equations:

A = 1/(2 x 3² x 5² x 11)

B = -1/(2 x 5² x 11)

C = 1/(2 x 3² x 11)

D = 1/(2 x 3² x 5²)

Therefore, we can write:

1/19950 = 1/(2 x 3² x 5² x 11) - 1/(2 x 5² x 11) + 1/(2 x 3² x 11) + 1/(2 x 3² x 5² x 11)

Multiplying both sides by 19950 and simplifying, we get:

19950 = 45 - 50 + 75 + 5

Therefore, we can write:

19950 = 75 x 2² x 3² x 5² - 50 x 2 x 5² x 11 + 45 x 2 x 3² x 11 + 5 x 2 x 3² x 5²

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Answer:

2:5

Step-by-step explanation:

WHichever one they ask you for first is the first number in the ratio. Meaning 2 solid figures are 2:1 plain figures.

Answer:

Step-by-step explanation:

Since 40° is in the first quadrant, the reference angle is 40°

The simplification of 7x^2(6x + 3x^2 - 4) is 42x^3 + 21x^4 - 28x^2. The powers of x are multiplied accordingly, and the coefficients are distributed and combined.

To simplify the expression 7x^2(6x + 3x^2 - 4), we can distribute the 7x^2 to each term within the parentheses:

7x^2 * 6x + 7x^2 * 3x^2 - 7x^2 * 4

This simplifies to:

42x^3 + 21x^4 - 28x^2

Therefore, the correct simplification of the expression is 42x^3 + 21x^4 - 28x^2. The powers of x are combined accordingly, and the coefficients are multiplied accordingly. This simplification is obtained by applying the distributive property and combining like terms.

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Answer:

14.99m= d

Step-by-step explanation:

C = πd                       Use this equation to find the circumference of a circle

47.1 = πd                   Divide both sides by π

14.99= d

The total number of home games is at most 35 (5 games per day of the week times 7 days of the week).

The pigeonhole principle, also known as Dirichlet's box principle, is a fundamental principle of combinatorics that states that if there are more pigeons than pigeonholes, then at least one pigeonhole must contain more than one pigeon. In other words, if we have n items and m containers, with n > m, and we distribute the items among the containers, then at least one container must have more than one item.

In the context of the NHL hockey season, we can think of the home games as the pigeons and the days of the week as the pigeonholes. Since there are 41 home games and only 7 days of the week, we have n > m, and we need to distribute the home games among the days of the week.

Suppose that no more than 5 of the home games happen on the same day of the week. Since there are 7 days of the week, this means that each day of the week must have at most 5 home games. Therefore, the total number of home games is at most 35 (5 games per day of the week times 7 days of the week).

However, we know that there are 41 home games in the season, which is greater than 35. This is a contradiction, because we have assumed that no more than 5 of the home games happen on the same day of the week, but we have shown that this assumption leads to a contradiction.

Therefore, we must conclude that at least 6 of the home games must happen on the same day of the week.

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The absolute value of the Pearson correlation coefficient indicates the strength or consistency of the relationship between two variables.

Therefore, the Pearson correlation coefficient with the greatest strength or consistency of relationship is the one with the highest absolute value.

In this case, the answer is:

a. â€"0.90

because it has the highest absolute value (|â€"0.90| = 0.90) among the options given. This indicates a very strong negative relationship between the two variables being compared.

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The result of the division is x³ + x² + x + 1, and there is no remainder.

To divide (x⁴ - 1) by (x - 1), we can use long division:

           x³ + x² + x + 1

     _____________________

x - 1 | x⁴ + 0x³ + 0x² + 0x - 1

         -(x⁴ - x³)

         ____________

                 x³ + 0x²

             -(x³ - x²)

             ____________

                     x² + 0x

                 -(x² - x)

                 ____________

                         x - 1

                     -(x - 1)

                     __________

                              0

The result of the division is x³ + x² + x + 1, and there is no remainder.

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Answer: 0.9545 (95.5%)

Step-by-step explanation: We can use the binomial distribution to model the number of people who favor the voucher idea in a simple random sample of 500 adults. The binomial distribution has two parameters: n, the number of trials, and p, the probability of success in each trial. In this case, n = 500 and p = 0.45.

The probability that exactly x people favor the voucher idea is given by the binomial formula:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

where (n choose x) = n! / (x! * (n-x)!)

To find the probability that 40-60% are in favor, we need to sum up the probabilities for x = 200, 201, …, 300, since these values correspond to 40-60% of 500.

P(200) + P(201) + … + P(300) = 0.9545 (rounded to four decimal places)

We can use a calculator or a statistical software to compute this sum.

Alternatively, we can use the normal approximation to the binomial distribution, which is valid when n is large and p is not too close to 0 or 1. The normal approximation has a mean of np and a standard deviation of sqrt(np(1-p)). In this case, np = 500 * 0.45 = 225 and sqrt(np(1-p)) = sqrt(500 * 0.45 * 0.55) = 11.18.

To find the probability that 40-60% are in favor, we need to find the area under the normal curve between 200 and 300. To do this, we need to convert these values to z-scores using the formula:

z = (x - np) / sqrt(np(1-p))

The z-scores for 200 and 300 are:

z(200) = (200 - 225) / 11.18 = -2.24

z(300) = (300 - 225) / 11.18 = 6.71

Using a standard normal table or a calculator, we can find the area under the curve between these z-scores:

P(-2.24 < z < 6.71) = P(z < 6.71) - P(z < -2.24) = 1 - 0.0127 = 0.9873

This is an approximation of the exact binomial probability, which is slightly lower at 0.9545.

Hope this helps, and have a great day! =)

A 10 cm deep beaker mercury will have the same hydrostatic pressure as 133.5 cm deep water.

The hydrostatic pressure exerted by a fluid is given by:

P = ρ.g.h

Where:

ρ = fluid density

g = gravitational acceleration

h = fluid depth

We want to compare 2 types of fluid, water and mercury.

Divide both sides of the equation by h

P/h = ρ.g

Since pressure is held constant, then the fluid density is inversely proportional to the fluid depth.

Therefore,

h_water : h_mercury = ρ_mercury : ρ_water

Given that:

ρ_mercury = 13.55 ρ_water and h_mercury = 10 cm

Then,

h_water : 10 = 13.55 ρ_water : ρ_water

h_water : 10 = 13.55 : 1

h_water = 13.55 × 10 = 135.5 cm

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Answer:

m = undefined

Step-by-step explanation:

(-9, -17) and (-9, 12)

Slope:

m=(y2-y1)/(x2-x1)

m=(12+17)/(-9+9)

m=29/0

Since 0 is the denominator, the slope is undefined

The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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Answer:

z = -3

Step-by-step explanation:

-7(z - 3) = 42

Distribute -7 to both numbers inside the parenthesis:

(-7(z) - -7(3)) = 42

-7z + 21 = 42

Subtract 21 from both sides:

-7z = 21

Divide both sides by -7:

[z = -3]

The probability that you need to pick 7 students to find 2 students using Chrome is approximately 65%.

To calculate this, we can use the formula P = (n!/r!(n-r)!) * p^r * q^(n-r), where n = 7 (number of students to pick), r = 2 (number of Chrome users to find), p = 0.49 (probability of Chrome user), and q = 0.51 (probability of non-Chrome user). By plugging the numbers into the equation, the probability of finding 2 Chrome users is 0.649.

In other words, if you randomly pick 7 students from the group, there is a 65% chance that you will find 2 students using Chrome.

This is because 49% of the group use Chrome, so if you pick 7 students randomly, the probability of picking 2 Chrome users is high.

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Moving along a circle that is encircled by a square is point p. The bottom-left corner of the square is fixed at point q. Drag the point p around the circle in the applet below to investigate this issue.

As Point P moves from A to \($B \rightarrow$\)

(d) Distance, increases then decreases.

As point P moves from B to \($C \rightarrow$\)

(a) Distance Decreases

As point P moves from C to \($D \rightarrow$\)

(b) Distance tier eases then increases.

a As Point P moves from D to\($A \rightarrow$\)

(c) Distance increases.

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The volume of the cylinder is 42080.87 cubic yd

Cylinder is a 3-dimensional solid shape that consists of two identical and parallel bases linked by a curved surface.It has two curved edges, one curved surface, and two flat faces.

Volume of a cylinder = π * r^2 * h

Where π = 3.14

r = 17.2 td

h = 45.3 yd

Volume of a cylinder = 3.14 * (17.2)^2 * 45.3

Volume = 3.14 * 295.84 * 45.3

Volume = 42080.87 cubic yard

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The reasonable estimate for the value of three-fifths times 16 is 9.

To estimate the value of three-fifths times 16, we can consider the fractional value of three-fifths, which is equivalent to 0.6. Multiplying 0.6 by 16 gives us an estimate of 9.

To understand this estimation, we can break down the calculation further. Three-fifths can be written as 3/5, which means taking three parts out of five. When we multiply this fraction by 16, we can think of it as multiplying 0.6 by 16. Multiplying 0.6 by 10 gives us 6, and then multiplying 0.6 by 6 gives us 3. Therefore, the estimated value of three-fifths times 16 is 9.

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\(\framebox {x=2}\)

\(\text {Would you want to do is Simplify the equation}\)

\(\text {5x+(3)(x)+(3)(2)=22 (Distribute)}\)

\(\text {5x+3x+6=22}\)

\(\text {(5x+3x)+(6)=22 (Combine Like Terms)}\)

\(\text {8x+6=22}\)

\(\text {Next thing you would want to do is Subtract 6}\)

\(\text {8x+6-6=22-6}\)

\(\text {8x=16}\)

\(\text {The final step is to Divide 8}\)

\(\text {8x/8=16/8}\\\text {x=2}\)

\(\text {Hope this helps!}\)

\(\text {-LimitedX}\)

Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.

There is very little confidence that the population would behave in expected ways.

The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.

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Answer:

I hope this helps!

Answer:

Step-by-step explanation: equivalent means equal to, so that means these expressions are equal :)

but there are a lot of creeps here" :(

Step-by-step explanation:

Answer:

look at the picture..................

\(\\ \rm\leadsto (aa^2a^3)/(a\div a^2)^{-1}\)

\(\\ \rm\leadsto \dfrac{a^{1+2+3}}{(a^{-1})^{-1}}\)

\(\\ \rm\leadsto \dfrac{a^6}{a}\)

\(\\ \rm\leadsto a^5\)

C. Whole

Answer:

m

Step-by-step explanation: