Choose ALL answers that describe thequadrilateral ABCD if AB = CD,BC= DA, and diagonals are congruent:AC~ BD.

Answer:

try socratic

Step-by-step explanation:

Answer:

34,466

Step-by-step explanation:

Given:

Number of males born in 2000 = 2,086,814

Percentage of males bearing Jacob of all males born in 2000 = 1.6516%

Required:

Number of Jacobs born in 2000

Solution:

Number of Jacobs born in 2000 = 1.6516% of number of males born in 2000.

\( = \frac{1.6516}{100}*2,086,814 \)

\( = 0.016516*2,086,814 = 34,465.82 \)

Number of Jacobs born in 2000 is approximately 34,466.

Answer:

Question 7

Domain: (-2,3]

Range: (1,4]

Question 8

a) No

b) x=4 and x=-2

c) (0,3)

d) (3,0) and (-1,0)

Step-by-step explanation:

Question 7

Domain refers to the span of x-values that a function encompasses. We can see from the graph that the lowest x value is -2 and the highest one is 3, and we also note the open circle at x=-2 (meaning x=-2 itself isn't included, which we note using curved brackets) and the closed circle at x=3 (meaning x=3 itself is included, which we note using square brackets). This leaves us with a domain of (-2,3]

Range meanwhile refers to the span of y-values that a function encompasses. We can see from the graph that the lowest y value is 1 and the highest one is 4, and we also note the open circle at y=1 (meaning y=1 itself isn't included, which we note using curved brackets) and the closed circle at y=4 (meaning y=4 itself is included, which we note using square brackets). This leaves us with a range of (1,4]

Question 8

a)

If the point (1,-3) is on the graph, then subbing 1 in for x and -3 in for f(x) should equate:

f(x)=x²-2x-3

-3=1²-2(1)-3?

-3=1-2-3?

-3=-4?

Since this doesn't equate, we can say the point is not on the line.

b)

The condition is that (x,5) is on the graph, so let's sub 5 in for f(x):

f(x)=x²-2x-3

5=x²-2x-3

x²-2x-8=0

(x-4)(x+2)=0

x=4 and x=-2

c)

The y-intercept is the point(s) at which the graph crosses the y-axis, ie where x=0, so to find it we sub 0 in for x:

f(x)=x²-2x-3

f(0)=0²-2(0)-3=-3

Therefore the y-intercept is (0,3)

d)

The c-intercept is the point(s) at which the graph crosses the x-axis, ie where y=0, so to find it we sub 0 in for f(x):

f(x)=x²-2x-3

0=x²-2x-3

(x-3)(x+1)=0

x=3 and x=-1

Therefore the x-intercepts are (3,0) and (-1,0)

Answer:

w = 6in

l = 12in

Step-by-step explanation:

To solve this problem we propose 2 equations

2w + 2l = 48in

l = 2w

We replace the value of l = (2w) into the first equation and solve

2w + 2(2w) = 48in

2w + 4w = 48in

6w = 48in

w = 48in/6

w = 8in

we replace the value of w and solve

l = 2(8in)

l = 16in

Option A. To translate a figure 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex.

The original vertices are:

(4, 4), (4, 2), and (6, 3)

Subtracting 4 from the x-coordinates, we get the new vertices:

(0, 4), (0, 2), and (2, 3)

To understand how to translate a figure, it is helpful to visualize the original and new positions of the figure in a coordinate plane. In this case, the original triangle has vertices (4, 4), (4, 2), and (6, 3) as shown below:

   (4,4)

     / \

    /   \

(4,2)----- (6,3)

To translate this triangle 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex. This will shift the entire triangle to the left by 4 units.

So, the new x-coordinates of the vertices become:

x-coordinate of (4, 4) - 4 = 0

x-coordinate of (4, 2) - 4 = 0

x-coordinate of (6, 3) - 4 = 2

The y-coordinates of the vertices remain the same.

Therefore, the new vertices of the triangle are:

(0, 4), (0, 2), and (2, 3)

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A triangle with vertices (4, 4), (4, 2), and (6, 3) is translated a distance of 4 units to the left. What are the new coordinates?

A. (0, 4), (0, 2), (2, 3)

B. (4, 0), (4, -2), (6, -1)

C. (4, 8), (4, 6), (6, 7)

D. (8, 4), (8, 2), (10, 3)

dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.

The autonomous differential equation that satisfies all of the given properties is dy/dx = (y-3)(y+3). This equation has two equilibrium solutions at y = 0 and y = 3, and is positive for -inf < y < 0, and negative for 0 < y < 3, and positive for 3 < y < inf.

To demonstrate this, let's consider the equation at y=-3. Since y=-3 is less than 0, the equation can be simplified to dy/dx = 6. Since 6 is positive, y' is also positive, meaning that y is increasing. Similarly, if y=3, dy/dx = 0 which is neither positive nor negative, so y remains constant. Finally, for y>3, dy/dx = -6, which is negative, so y is decreasing.

Therefore, dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.

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Answer:

1 4/5

Step-by-step explanation:

For 6 servings, the recipe will need 12 cups of sauce and 3/4 teaspoon of oregano. So, the answer is option A: The recipe will need 12 cups of sauce and three-fourths teaspoons of oregano for 8 servings.

To find how much sauce and oregano will be needed to make 6 servings, we can use the ratio of sauce to oregano in the recipe.

For 4 servings, the recipe calls for 8 cups of sauce and 1/2 teaspoon of oregano. To find how much sauce and oregano are needed for 6 servings, we can set up a proportion:

sauce : oregano = 8 cups : 1/2 teaspoon = 16 cups : 1 teaspoon

So, for 6 servings, we need:

sauce : oregano = 16 cups : 1 teaspoon

To convert this to cups and tablespoons, we can multiply both sides of the proportion by 3/4:

sauce : oregano = (16 x 3/4) cups : (1 x 3/4) teaspoons

sauce : oregano = 12 cups : 3/4 teaspoon

sauce : oregano = 48 cups : 3 teaspoons

Therefore, for 6 servings, the recipe will need 12 cups of sauce and 3/4 teaspoon of oregano. So, the answer is option A: The recipe will need 12 cups of sauce and three-fourths teaspoons of oregano for 8 servings.

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As research have shown that GDP has many known biases that make it a poor absolute measure of the welfare of a society. A reason why GDP will still be a good measure of changes in welfare will likely be because biases may be relatively constant over time. The Option B is correct.

GDP is a poor indicator of a society's standard of living because it does not directly account for leisure, environmental quality, levels of health and education, activities conducted outside the market, changes in income inequality, increases in variety, increases in technology, and so on.

So, GDP does not directly measure the things that make life worthwhile, but it does measure our ability to obtain many of the inputs that make life worthwhile. GDP, however, is not a perfect measure of happiness. Some factors that contribute to a happy life are excluded from GDP.

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Answer:

29

Step-by-step explanation:

(7-5)^2 is 4 and (20-19)^2 is 1

4+1=5

3*5=15

15+14=29

Answer:

29

Step-by-step explanation:

3((7-5)^2+(20-19)^2) + 14

3(4+1)+14

12+3+14

15+14

29

Therefore, B's share is Rs. 30,000 and C's share is Rs. 40,000.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

Let the total sum of money be x.

Then, according to the given ratio, A's share is 2/9 of the total sum, so we have:

2/9 * x = 20000

Multiplying both sides by 9/2, we get:

x = 90000

Now, we can find the shares of B and C as follows:

B's share = 3/9 * 90000 = 30000

C's share = 4/9 * 90000 = 40000

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A disadvantage of using a questionnaire is that B. The respondent controls the validity.

Questionnaires are a means of gathering data in research in order to find out more about a certain phenomenon. They involve writing questions and giving them to a respondent to fill out the answers.

Questionnaires are inexpensive to administer and can lead to confidential results which is good. However, they have the disadvantage that respondents control the validity of questionnaire results and can decide to lie if they feel it would make them look better, which would confuse the research results.

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The area of the shaded region is equal to 45 square units.

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LW

Where:

By substituting the given side lengths into the formula for the area of a rectangle, we have the following;

Area of rectangle = 8 × 6

Area of rectangle = 48 square units.

Since the opposite sides of any rectangle are congruent (equal), the legs of the right triangle can be calculated as follows;

L₁ = 8 - 5 = 3 units.

L₂ = 6 - 4 = 2 units.

Area of right triangle = 1/2 × 3 × 2

Area of right triangle = 3 square units.

For the area of the shaded region, we have:

Area of the shaded region = 48 square units - 3 square units.

Area of the shaded region = 45 square units.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint.

Let 'x' be the amount of blue paint and 'y' be the amount of red paint. Then the equations are given as,

x / y = (1/2) / (1/3)

x / y = 3/2                        ...1

x + y = 5                          ...2

From equations 1 and 2, then we have

(3/2) y + y = 5

(5/2) y = 5

y = 2 quart

Then the value of 'x' is given as

x + 2 = 5

x = 3 quart

The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.

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Answer:

Step-by-step explanation:

4x - 27 = 2(x + 9)

2x = 27 + 18

x = 45 ÷ 2 = 22.5

QP = 4(22.5) - 27 = 63 units

Answer:

Step-by-step explanation:

The area of the flooring:

Cost of flooring:

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:

0.5874 = 58.74%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

Z = (18.1 - 17.2)/0.3953

Z = 2.28

Z = 2.28 has a p-value of 0.9887.

Z = (17.1 - 17.2)/0.3953

Z = -0.25

Z = -0.25 has a p-value of 0.4013.

Hence:

0.9887 - 0.4013 = 0.5874 = 58.74%.

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The Vales of x in the equations are : 1) 3 (2) 1  (3) 5  (4) 14  (5) 10 respectively

A linear equation in one variable is that in which the highest power of its variable is 1

The given equations and their solutions are

2x +1 = 7

By collecting like terms we have

2x = 3

x = 3

2) The given equation is 4x +7 = 11

By collecting like terms we have

4x = 4

Making x the subject we have

x = 1

3) 2x -3 = 7

By collecting like terms we have

2x = 10

Making x the subject we have

x = 5

4) 1/2 x - 3 = 7

By collecting like terms we have

1/2x = 7

x= 14

5) The given equation is 3x - 11 = 19

By collecting like terms we have

3x= 30

Therefore x= 10

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Let \(s_a = \sin(ax)\) and \(c_a = \cos(ax)\), so the integrand is

\(\dfrac{{s_1}^{2k+1} {c_1}^k + {s_1}^k {c_1}^{2k+1}}{{s_1}^{3k+3} + {c_1}^{3k+3}}\)

Factorize everything and recall the identities

2 s₁ c₁ = s₂

c₁² = (1 + c₂)/2

s₁² = (1 - c₂)/2

\(= \dfrac{{s_1}^k {c_1}^k \left({s_1}^{k+1} + {c_1}^{k+1}\right)}{\left({s_1}^{k+1} + {c_1}^{k+1}\right) \left({s_1}^{2k+2} - {s_1}^{k+1} {c_1}^{k+1} + {c_1}^{2k+2}\right)}\)

\(= \dfrac{\left(s_1c_1\right)^k}{\left({s_1}^2\right)^{k+1} - \left(s_1 c_1)^{k+1} + \left({c_1}^2\right)^{k+1}}\)

\(= \dfrac{\left(\frac{s_2}2\right)^k}{\left(\frac{1-c_2}2\right)^{k+1} - \left(\frac{s_2}2\right)^{k+1} + \left(\frac{1+c_2}2\right)^{k+1}}\)

\(= 2 \times \dfrac{{s_2}^k}{(1-c_2)^{k+1} - {s_2}^{k+1} + (1+c_2)^{k+1}}\)

After simplifying, substitute y = 2x. Then

\(\displaystyle \int_0^{\frac\pi4} \frac{\sin^{2k+1}(x) \cos^k(x) + \sin^k(x) \cos^{2k+1}(x)}{\sin^{3k+3}(x) + \cos^{3k+3}(x)} \, dx \\\\\\ = 2 \int_0^{\frac\pi4} \frac{\sin^k(2x)}{(1-\cos(2x))^{k+1} - \sin^{k+1}(2x) + (1 + \cos(2x))^{k+1}} \, dx\\\\\\ = \int_0^{\frac\pi2} \frac{\sin^k(y)}{(1-\cos(y))^{k+1} - \sin^{k+1}(y) + (1+\cos(y))^{k+1}} \, dy\)

Now substitute t = tan(y/2). Under this change of variable, we have

dt = 1/2 sec²(y/2) dy   ⇒   dy = 2/(1 + t²) dt

sin(y) = 2 sin(y/2) cos(y/2) = 2t/(1 + t²)

cos(y) = cos²(y/2) - sin²(y/2) = (1 - t²)/(1 + t²)

Making these replacements and simplifying the integrand reduces it significantly to

\(\displaystyle \int_0^1 \frac{t^k}{t^{2k+2} - t^{k+1} + 1} \, dt\)

Substitute once more with z = tᵏ⁺¹ and dz = (k + 1) tᵏ dt to reduce it to the trivial

\(\displaystyle \frac1{k+1} \int_0^1 \frac{dz}{z^2-z+1} = \frac{2\pi}{3\sqrt3 (k+1)}\)

Then Ω(n) is simply

\(\displaystyle \Omega(n) = \sum_{k=2}^{n-1} \frac{2\pi}{3\sqrt3(k+1)} = \frac{2\pi}{3\sqrt3} \sum_{k=3}^n \frac1k = \frac{2\pi}{3\sqrt3} \left(H_n - \frac32\right)\)

where Hₙ denotes the n-th harmonic number,

\(H_n = \displaystyle \sum_{k=1}^n \frac1k\)

It's known that

\(\displaystyle \lim_{n\to\infty} (H_n - \ln(n)) = \gamma\)

where γ ≈ 0.577216 (the Euler-Mascheroni constant). Then

\(\displaystyle \lim_{n\to\infty} \frac{\Omega(n)}n = \frac{2\pi}{3\sqrt3} \lim_{n\to\infty} \frac{(H_n - \ln(n)) + \ln(n) - \frac32}{n} = \boxed{\frac{2\gamma\pi}{3\sqrt3}} \approx 0.687969\)

Answer:

A is 2/4 and 4/8

B is 2/8

C is 6/8

Step-by-step explanation:

Hope it helps

Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

Answer:

5x+3

Step-by-step explanation:

1.  Subtract 1 from 4

4+5x-1

2. Solution

5x+3

Answer:

To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due (the amount you would have to deposit today)

- PMT is the monthly payment ($75)

- r is the annual interest rate (3.5%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**

Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.

Answer:

therefore x is 15 because it is sim up to 180

Answer:

then love me more also, i bet the answer is pi

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

5x-3= 2x+24

5x=2x+27

3x=27

X=9

Answer: A.  9

Step-by-step explanation:

The diagonal is bisected by the other diagonal.  So the 2 parts of the diagonal are equal

5x - 3 =  2x + 24                 >Bring like terms to 1 side

3x = 27                                >Divide both sides by 3

x = 9

Answer:

\(2X10^{3}\)

Step-by-step explanation:

Answer:

\( x^3 - 6x + 2 \)

Step-by-step explanation:

The given polynomials can be added together by adding like terms together as shown below:

=> Add together, the coefficient of all terms that have the power of 3.

\( (2x^3) + (x^3) + (-3x^3) \)

\( 2x^3 + x^3 - 3x^3 \)

\( 3x^3 - 3x^3 \)

\( x^3 \)

=> \( (-4x^2) + (6x^2) + (2x^2) \)

\( -4x^2 + 8x^2 \)

\( 4x^2 \)

=> \( (6x) + (-8x) + (-4x) \)

\( 6x - 8x - 4x \)

\( -6x \)

=> \( (-3) + (12) +(-7) \)

\( -3 + 12 - 7 \)

\( 2 \)

The answer = \( x^3 - 6x + 2 \)

Answer:

4x^2-6x+2

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

We are given the equation:

\( \displaystyle \large{10x + 8 = 11x - 8}\)

First, subtract both sides by 10x.

\( \displaystyle \large{10x - 10x+ 8 = 11x - 10x - 8} \\ \displaystyle \large{8= x- 8}\)

Then add both sides by 8 to isolate x-term.

\( \displaystyle \large{8 + 8= x- 8 + 8} \\ \displaystyle \large{16 = x}\)

And we're done! The value of x is 16.

Answer:

x = -1

Step-by-step explanation:

6+4 = 10

14-10 = 4

2x + 6 = 4

2x (-2) = -2

-2 + 6 = 4