How many times larger is 4.5 x 105 than 1.8 x 10%?
A. 2.5
B. 270
C. 250
D. 50

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer:

42

Step-by-step explanation:

1*3=3

it becomes 2,3 and 7

you will get the answer as 42

Original Picture:

Width: 15 cm

Length: 16 cm

Enlarged Picture:

Width: unknown

Length: 48 cm

The new length is 48 cm, and the original length is 16 cm.

How many times larger is the new length than the old length?

We divide 48 by 16 to get 48/16 = 3

The new length is 3 times larger than the original length.

This means that the new width will also be 3 times the original width.

Original width: 15 cm

New width: 3 * 15 cm = 45 cm

Answer: 45 cm

Hope It would Help you

Answer:

21

Step-by-step explanation:

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 7)

m = \(\frac{7-3}{4-2}\) = \(\frac{4}{2}\) = 2

Answer:

Multiply dno. plus nume. by 2

Step-by-step explanation:

get a base of 100

                              1000/2000 will be 0.5 :)

\(\\ \sf\longmapsto \dfrac{1000}{2000}\)

\(\\ \sf\longmapsto \dfrac{100}{200}\)

\(\\ \sf\longmapsto \dfrac{10}{20}\)

\(\\ \sf\longmapsto \dfrac{1}{2}\)

\(\\ \sf\longmapsto 0.5\)

The expression that is equivalent to the one Shea wrote is b 5 x y x 5 x 2 +4

From the question, we have the following parameters that can be used in our computation:

5(y + 2) + 2 shows the amount of money five friends paid for snacks at a basketball game

This means that

Amount = 5(y + 2) + 2

When expanded, we have

Amount = 5 * y + 5 * 2 + 2

Using the above as a guide, we have the following:

The expression that is equivalent to the one Shea wrote is b 5 x y x 5 x 2 +4

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Answer:

A 6-sided shape is a hexagon.

The ratio of protonated/deprotonated acetic acid at the given pH is:

Therefore, the ratio of protonated/deprotonated acetic acid at the given pH is:

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The causes of variation that can be identified and eliminated are called; Assignable Causes.

There are two primary causes of variation in the quality of a product or process. These two primary causes are called;

Now, Common causes of variation are defined as random causes that we cannot identify. However, Assignable causes of variation are those that can be identified and eliminated.

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The value of E(x- μ) for the population for any given data is always equal to option b. 0.

Sum of squared deviations,

ss = 100

variance, σ² = 4

The value of E(x - μ) for the population can be determined .

Using the relationship between the sum of squared deviations (ss) and the variance (σ²).

ss = n × σ²

where ss is the sum of squared deviations,

σ² is the variance,

and n is the population size.

Substituting these values into the equation, solve for n,

⇒ 100 = n × 4

⇒ n = 100 / 4

⇒ n = 25

The expected value (E) of (x - μ) for the population is zero.

This means that on average, the difference between each data point (x) and the population mean (μ) is zero.

Therefore, the value of the expected operator E(x- μ) for the population is equal to option b. 0

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The above question is incomplete, the complete question is:

A population has sum of squared deviations, ss = 100 and variance, σ² = 4. What is the value of E(x- μ) for the population?

a. 400

b. 0

c. 10

d. 25

The point guard has to decide whether to shoot a three-point attempt or pass the ball to another player for a two-point shot. The point guard has a 30% success rate for three-point shots, while the teammate has a 48% success rate for two-point shots.

To determine the best option, we can compare the expected values for each decision. Here's a step-by-step explanation:

1. Calculate the expected value of the point guard's three-point attempt:
  - Success rate: 30% (0.3)
  - Point value: 3
  - Expected value: 0.3 (3 )= 0.9

2. Calculate the expected value of the teammate's two-point shot:
  - Success rate: 48% (0.48)
  - Point value: 2
  - Expected value: 0.48 (2) = 0.96

3. Compare the expected values:
  - Three-point attempt: 0.9
  - Two-point shot: 0.96

Since the expected value of the teammate's two-point shot (0.96) is higher than the point guard's three-point attempt (0.9), it would be a better decision for the point guard to pass the ball to the teammate for a two-point shot.

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The taxable income of Marcel and Stephanie is less than their annual salary because they are allowed to make deductions from their income before calculating their taxable income.

These deductions include contributions to retirement plans, health insurance premiums, and other eligible expenses. The amount of deductions varies depending on factors such as the type of expense and the individual's tax filing status.

Thus, the taxable income is the amount of income that is subject to taxation, and it is generally lower than the individual's annual salary. In the case of Marcel and Stephanie, their taxable incomes are calculated by subtracting their deductions from their respective annual salaries.

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Complete Question:

Why are Marcel's and Stephanie's taxable incomes less than their annual salary? Marcel's annual salary is $30,000 and his income is $17,450. Stephanie's annual salary is $50,000 and her income is $37,600.

There are 8,222,286 different ways that six students can form a group for an activity in a class of 29 students.

To find the number of ways to form a group of 6 students from a class of 29, we can use the concept of combinations, which are arrangements of items without regard to order.

The number of combinations of n items taken r at a time is denoted by C(n,r) and is given by the formula:

C(n,r) = n! / (r!(n-r)!)

where n! denotes the factorial of n, which is the product of all positive integers from 1 to n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

To apply this formula to the problem, we have:

n = 29 (number of students in the class)

r = 6 (number of students in the group)

So, the number of ways to form a group of 6 students from a class of 29 is:

C(29,6) = 29! / (6! * (29-6)!) = (29 x 28 x 27 x 26 x 25 x 24) / (6 x 5 x 4 x 3 x 2 x 1) = 8,222,286

Therefore, there are 8,222,286 different ways that six students can form a group for an  activity in a class of 29 students.

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No, the plan will not work because tan B = 8/5; B ≈ 58°

There are three primary trigonometric ratios for a right angle triangle and they are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

To get angle B, we will make use of trigonometric ratios to get:

tan B = 8/5

tan B = 1.6

B = tan⁻¹1.6

B = 58°

From the ramp, we can see that the angle is greater than what Gael wants to build and as such we can say it will not work.

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When an increase in one variable is associated with an increase in a second variable, the two variables are known as positively correlated. The correlation coefficient is the measure of the degree of the relationship between two variables.

The correlation coefficient ranges from -1 to 1. A positive correlation coefficient indicates a positive relationship between two variables, while a negative correlation coefficient indicates an inverse relationship between two variables.

A positive correlation coefficient signifies that as one variable increases, the other variable also increases. For instance, the correlation between a person's height and weight is positive because as their height increases, so does their weight.

In the same way, as a person's income increases, so does their level of expenditure. Positive correlations can be either strong or weak.A strong correlation is indicated by a correlation coefficient close to 1, while a weak correlation is indicated by a correlation coefficient closer to zero.

For example, the correlation between a person's weight and the number of hours they exercise per week is strong. When a person's exercise time increases, so does their weight loss. In conclusion, when an increase in one variable is associated with an increase in a second variable, the two variables are positively correlated.

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Answer/Step-by-step explanation:

a. From the bar graph, 1 student scored 9, 4 students scored 10.

Therefore, the no. of students who scored above 8 is: \( 1 + 4 = 5 \)

b. From the graph, we have the following:

3 students scored 1

5 students scored 2

2 students score 4

6 students scored 5

12 students scored 8

1 student scored 9

4 students scored 10

Total no. of pupils in year 7 class = 3 + 5 + 2 + 6 + 12 + 1 + 4 = 33 students

c. It is assumed that all the students in Mr Hassan's year 7 class took the test.

To get a volume of 407.51 m^3, your friend may have used the wrong value for π or the wrong formula for the volume of a sphere.

The correct volume of a sphere with radius r is V = (4/3)πr^3.

Using 3.14 for π, we can calculate the correct volume as follows:

V = (4/3)(3.14)(r^3)

V = (4.1866)(r^3)

To find the radius that corresponds to a volume of 407.51 m^3, we need to solve the equation:

407.51 = (4.1866)(r^3)

Dividing both sides by 4.1866, we get:

r^3 = 97.33

Taking the cube root of both sides, we get:

r ≈ 4.57

Therefore, the correct volume of the sphere is:

V = (4/3)(3.14)(4.57^3)

V ≈ 381.70 m^3

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Answer:-2.3,11.,11.,-0.25 or  x2 - 10x - 25- -5

Step-by-step explanation:

u just go in a TI-nspire CX calculator and type in in how it looks

a. The substitution effect causes an increase of 10 units of good x due to the price change.   b. The income effect causes an increase of 10 units of good x due to the doubling of real income.



a. To calculate the substitution effect, we need to hold the utility constant. Since the price of good x decreased to $0.5, we can consider the new price ratio as 0.5:1 (x:y). Initially, with a budget of $10, we could purchase 10 units of good y. With the new price ratio, the consumer can buy 20 units of x for the same $10 budget. Therefore, the substitution effect leads to an increase of 20 - 10 = 10 units of x.

b. To calculate the income effect, we need to consider the change in real income caused by the price change. With the price of x decreasing to $0.5 and the consumer's disposable income remaining the same, the consumer's real income doubles. Since the utility function has an income elasticity of 1 for good x (as it appears in the utility function linearly), the consumer will allocate the same proportion of income to good x. Therefore, with the doubled real income, the consumer will purchase twice as much of good x.

Thus, the income effect leads to an increase of 10 units of x.

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Answer:

2-241x

Step-by-step explanation:

The first withdrawal from the account is $200 and another is $150

A mathematical expression made up of variables, coefficients, constants, and operations like addition, subtraction, multiplication, and division is called an algebraic expression. In general, something is considered equal if two of them are the same. Similar to this, analogous expressions in mathematics are those that hold true even when they appear to be different. Yet, both forms provide the same outcome when the values are entered into the formula.

A checking account has a balance of $350

A customer makes two withdrawals

first is $50 more than the other,

let another withdrawal is $x

then first withdrawal is $(50+x)

then,

x+(50+x)=350

2x=300

x=$150

hence first withdrawal is $200

and another is $150

Then he makes a deposit of $75,

So the remaining balance in the account is $75.

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Steps:

1. 3(7+x)

2. Distribute the 3 to the 7 and x

3. (21+3x)

4. Done

Answer: (21+3x)

Fundamental Theorem of Differentiation value of g'(x) when g(x) = Sx 0 √6-5t²dt is -x / (6 - x²) + ∫[0 to √6-x²] x / \((6 - t^2)^{(3/2)}\) dt.

To determine g'(x), we need to find the derivative of g(x) with respect to x.

g(x) = ∫[0 to √6-x²] √(6 - t²) dt

Let's use the Fundamental Theorem of Calculus to differentiate g(x):

g'(x) = d/dx [∫[0 to √6-x²] √(6 - t²) dt]

Using the Chain Rule, we can write:

g'(x) = (√(6 - x²))' × √(6 - x²)' - 0

Now, we need to find the derivatives of √(6 - x²) and √(6 - x²)':

√(6 - x²)' = -x / √(6 - x²)

√(6 - x²)" = \(-(x^2 + 6 - x^2)^{(-3/2)}\) * (-2x)

Simplifying, we get:

√(6 - x²)' = -x / √(6 - x²)

√(6 - x²)" = x / \((6 - t^2)^{(3/2)}\)

Substituting these values, we get:

g'(x) = [(-x / √(6 - x²)) × √(6 - x²)] - ∫[0 to √6-x²] × / \((6 - t^2)^{(3/2)}\) dt

Simplifying, we get:

g'(x) = -x / (6 - x²) + ∫[0 to √6-x²] × / \((6 - t^2)^{(3/2)}\) dt

Therefore, g'(x) = -x / (6 - x²) + ∫[0 to √6-x²] × / \((6 - t^2)^{(3/2)}\) dt.

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The towers ZQ and ZR are the closest together.

Triangle is a three-sided polygon which has three vertices.

Solution

If the measure of ZP is x,

Then the measure of ZQ is x-10 and the measure of ZR is x-5.

To find the two towers that are closest together, we need to find the minimum value of the difference between any two angles.

ZP and ZQ: x - (x-10) = 10

ZQ and ZR: (x-5) - (x-10) = 5

So, the towers ZQ and ZR are the closest together, with an angle difference of 5°.

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Answer:

\(y=-\frac{3}{2}x+9\)

Step-by-step explanation:

Parallel lines have the same slope, but different y-intercepts, so it helps to rewrite the equation in slope-intercept form:

\(2y+3x-4=0\\2y=-3x+4\\y=-\frac{3}{2}x+2\)

Now, just simply change the y-intercept from 2 to 9 and you're done!

To solve this problem, we can use the concept of the sampling distribution of the sample mean. The mean number of cups of coffee consumed in a day by all occupants is 2.0 with a standard deviation of 0.6.  Since the sample size is large (125 employees) and the population standard deviation is known, we can approximate the sampling distribution of the sample mean as a normal distribution.

The mean of the sampling distribution is equal to the population mean, which is 2.0 cups per day  Now, we need to calculate the z-score for the value of 240 cups per day using the formula:

z = (x - μ) / σ,

where x is the desired value (240 cups per day), μ is the mean of the sampling distribution (2.0 cups per day), and σ is the standard deviation of the sampling distribution (0.6 / sqrt(125)).

Plugging in the values, we have:

z = (240 - 2) / (0.6 / sqrt(125)) ≈ 58.01.

Finally, we can use a standard normal distribution table or a calculator to find the probability of obtaining a z-score greater than 58.01. However, since this z-score is extremely large, the probability will be very close to zero.

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The approximation for f(-1.95) is -0.07, which is found by using the line tangent to the graph of f at x=-2, which has a slope of -4(-2)-2=-8.

The approximation for f(-1.95) is found by using the line tangent to the graph of f at x=-2. The slope of the line tangent at x=-2 can be determined by using the derivative of f, which is f'(x)=-4x-2. Plugging x=-2 into the derivative, we get the slope of the line tangent to be -8. Using the point-slope formula, y-y1=m(x-x1), we can find the equation of the line tangent. Plugging in x=-2 and y=0 (since f(-2)=0) and m=-8, we get 0-(-2)= -8(x-(-2)), which simplifies to y=-8(x+2). To find the approximation for f(-1.95), we simply plug x=-1.95 into the equation of the line tangent, which gives us y=-8(-1.95+2)=-0.07. Therefore, the approximation for f(-1.95) is -0.07.

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Answer: -36

Step-by-step explanation:

Answer is -36

if you don't understand why ask