Choose the inequality that matches the graph below (pls help quick!)

Answer:

191 ft

Step-by-step explanation:

If it's 45.5ft x 50ft, we'll need to put fence around two 45.5ft sides and two 50ft sides.

2*45.5ft + 2*50ft = 91ft + 100ft = 191ft

Step-by-step explanation:

For RIGHT triangles   sin (angle) = opposite LEG / hypotenuse

 for this triangle sin (10) = 500/x

then   x = 500 / sin (10°) = 2879.4 m     Round as necessary

Answer:

The answer is -0.828

Step-by-step explanation:

I took the quiz and i gt this question correct, hope it helps!

The r-value of the given data is 0.374.

The correlation coefficient, denoted as r, is a statistical measure that describes the strength and direction of the linear relationship between two variables.

It ranges between -1 and +1, where -1 indicates a perfect negative correlation (inverse relationship), +1 indicates a perfect positive correlation (direct relationship), and 0 indicates no correlation between the variables.

We have,

First, we need to find the correlation coefficient (r) of the given data.

We can use the following formula to do this:

r = [n∑(xy) - (∑x)(∑y)] / [√{n∑x² - (∑x)²} √{n∑y² - (∑y)²}]

where n is the number of data points, x, and y are the respective variables, and ∑ denotes the sum of the values.

Using the given data, we can calculate the values as follows:

n = 5

∑x = 39

∑y = 53

∑(xy) = 442

∑x^2 = 483

∑y^2 = 1249

Substituting these values into the formula, we get:

r = [5(442) - (39)(53)] / [√{5(483) - (39)^2} √{5(1249) - (53)²}]

r = [2210 - 2067] / [√(2415) √(5660)]

r = 143 / (61.898 75.245)

r = 0.374 (rounded to three decimal places)

Therefore,

The r-value of the given data is 0.374.

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Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

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No, the code is incorrect as there is a syntax error. The second comparison operator is missing the operand.

It should be written as "if (x > 0 && x <= 100)" to properly compare the value of x against the range of 0 through 100, inclusive. The code checks whether the value of x is greater than 0 and less than or equal to 100, which means it will only evaluate to true if x is between 0 and 100 (inclusive). If x is outside this range, the condition will be false. No, the code is incorrect as there is a syntax error. The second comparison operator is missing the operand. No, the code is incorrect as there is a syntax error. The second comparison operator is missing the operand.

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Answer:

The answer is D

Step-by-step explanation:

The answer is D

Answer:D

Step-by-step explanation:5÷12 is the alternative form for 5/12

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

The value of the expression is (5/12)⁻² × (4/5)⁻² = 9.0.

Writing fractions with a power in the denominator using negative exponents is one method. Rewriting a raised to -2 as 1/(a raised to 2), for instance, yields the fraction 1 over a squared. Expressions that use powers and fractions can be made simpler by using negative exponents. A fraction can be inverted and its power turned positive when raised to a negative power. It is possible to rewrite (a/b) raised to -2 as (b/a) raised to 2. This characteristic enables us to alter expressions using powers and fractions in a way that may facilitate their use or solution.

The given expression is (5/12)⁻² multiply (4/5)⁻².

Simplifying we have:

(12²/5²) × (5²/4²)

= (144/25) × (25/16)

= 9.0

Therefore, the value of the expression is (5/12)⁻² × (4/5)⁻² = 9.0.

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Answer:

The answer is C. Property tax.

Step-by-step explanation:

An example of a typical cost that is not associated with renting include the following: C. property tax.

In Economics, there are different types of tax that are being levied on individuals or business organizations by the government, and these include the following:

Sales tax

Income tax

Property tax

here, we have,

Generally speaking, property taxes are typically determined with respect to the monetary value of a property in real estate. This ultimately implies that, property taxes are typically determined based on the monetary value that is associated with a property.

In conclusion, last month's rent, security deposit, and pet deposit are examples of cost that are associated with renting.

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Answer:

\(A.\;\; \left(\dfrac{21}{3}\right)^x\\\\\\C. \;\;\dfrac{7^{x}\cdot3^{x}}{3^{x}}\\\\E. \;\;7^x\)

Step-by-step explanation:

\(\dfrac{21^x}{3^x} = \left(\dfrac{21}{3}\right)^x\)\(21 = 7 \cdot 3\\\\So\; \dfrac{21^x}{3^x} = \dfrac{7^x \cdot 3^x}{3^x}\)
So choice A is correct

\(------------------------\)

\(21 = 7 \cdot 3\\\\So\; \dfrac{21^x}{3^x} \\\\\\= \dfrac{(7\cdot3)^{x}}{3^{x}}=\dfrac{7^{x}\cdot3^{x}}{3^{x}}\)

So Choice C is correct

\(------------------\)

\(\text{SInce $\dfrac{21}{3} = 7$}\\\\\text{ $\left(\dfrac{21}{3} \right)^x = (7)^x = 7^x$}\)

Therefore choice E is correct

All the other three are incorrect

answer:

£11.25

explanation:

2.75+1=3.75 this was one third so you have to multiply 3.75 by 3 so you get 11.25.

Answer:

a + b

Step-by-step explanation:

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

x = a + b

Answer: The answer is Undefined (a/0)

I put a screenshot of how i got that answer

Answer: She's right, it is d

Step-by-step explanation:

The value of the given expression, -50 + 5/13p, when p = -26 is -60

From the question, we are to evaluate the given expression for the given value of p

The given expression is

-50 + 5/13p

and

The given value of p is p = - 26

Substitute the given value of p into the given expression

That is,

-50 + 5/13p

When p = -26, the expression becomes

-50 + 5/13(-26)

Simplify

-50 + 5(-2)

-50 - 10

= - 60

Hence, the value of the expression is -60

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A variation on Lagrange polynomial interpolation is called barycentric interpolation. Second, just use Newton interpolation formula to assess p(x) for each x.

The Lagrange interpolation theorem can be used to create a polynomial that traverses a specified set of points and takes particular values at random locations. This theorem provides the approximate formula for the nth degree polynomials to the function f if a variable f (x) is available at discrete places xi, I = 0, 1, 2,... (x).

The Lagrange theorem extrapolates well-known mathematical principles like the statement that a line is uniquely specified by two points, the knowledge that the quadratic function polynomial is completely determined by three points, and so forth.

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The total revenue generated from sponsors that was rewarded by the organizers of African Mathematics to three of her most outstanding students is  2500000 (in monetary units) by formulating linear equation.

The organizers of African Mathematics rewarded three of her most outstanding students 40% of the revenue generated from sponsors.

Let us say the total revenue generated from sponsors be x (monetary units).

Thus, total of (2/5)x (in monetary units) was rewarded by forming equation.

It is given that the first and second runners up got 35% and 25% of the revenue generated respectively and also the best student got  400,000  (monetary units).

Formulating a linear equation for the given problem we get,

40 % of x = 400000 + (35 % of (2/5)x) + ( 25% of (2/5)x)      (in monetary units)

⇒(40/100)  x = 400000 +  (35/100)(2/5)x + (25/100)(2/5)x      (in monetary units)

⇒ (40/100)x - [ (14/100)x + (10/100)x] = 400000     (in monetary units)

⇒ \(\frac{40x - 14x - 10x}{100} = 400000\)     (in monetary units)

⇒ (16/100)x = 400000   (in monetary units)

⇒ x = 2500000 (in monetary units)

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Answer:

  $152,419.36

Step-by-step explanation:

The future value of an ordinary annuity is given by the formula ...

  FV = P((1 +r/12)^(12t) -1)/(r/12)

where P is the monthly payment, r is the annual interest rate, and t is the number of years.

For P = 350, r = 0.021, and t = 27 (years to retirement age), the value is ...

  FV = 350((1 +0.021/12)^324 -1)/(0.021/12) ≈ $152,419.36

The value of Jolene's retirement account when she turns 60 will be $152,419.36.

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:

37.68

Step-by-step explanation:

c = 2 x 3.14 x 6

Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.

Step 1: State the hypotheses.

- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).

- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).

Step 2: Compute the value of the test statistic.

To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).

The formula for the z-test statistic is:

z = (X- μ) / (σ / √n)

Where:

X is the sample mean (4.21 cm),

μ is the population mean (4.00 cm),

σ is the population standard deviation (0.83 cm), and

n is the sample size (121).

Plugging in the values, we get:

z = (4.21 - 4.00) / (0.83 / √121)

z = 0.21 / (0.83 / 11)

z = 0.21 / 0.0753

z ≈ 2.79 (rounded to two decimal places)

Step 3: Determine the critical value and make a decision.

With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.

For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).

Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.

Conclusion:

Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.

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The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]

The shape of the graph of a quadratic function is a parabola.

The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816

Where;

t = The time in seconds

The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;

The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)

Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7

Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7

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Is not possible to define a radius  nor a diameter in a trapezium.

Radius and diameter are two measures defined for circles.

Radius is the distance between the center and any point in the circumference, and the diameter is the distance between two opposite points in the circumference (so it does not need to be 3D to have radius/diameter).

At the same time, a trapezium is not a circle, is a quadrilateral, so it can't have any of these.

To get the area use the formula:

Area = (base1 + base2)*height / 2

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Answer:

99.897%

Step-by-step explanation:

Answer: 99.87%

Step-by-step explanation:

Answer: 1%

Explanation: sorry if I’m wrong.

Answer:

Your answer would be 14,000 by the third year

Answer: 59.4

Step-by-step explanation: 57 + 63 + 53 + 68 + 56 = 297

297 divided by 5 = 59.4

Answer:

626.968

Step-by-step explanation:

EMDAS rule