In the given figure, ABCD is a parallelogram. Determine the measure of x.​Please give full explanation.

Answer:

If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.

Step-by-step explanation:

Answer:

n 1 hour Dylan can paint 1/4 of the wall, and Brett can paint 1/3 of the wall.

Therefore together they can paint 1/4+1/3 = 7/12 of wall

Therefore they can paint entire wall in 12/7 hours

Step-by-step explanation:

you ' re welcome grandma loves youu ! < 33 ; )

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The value of x is \(\mathbf{8\dfrac{1}{3}}\)

The objective of this question is to evaluate and determine the value of x. The fraction given in the question consists of algebraic expressions and, we need to solve it through following process;

∴

\(\mathbf{\dfrac{x-1}{3-x} + \dfrac{3}{4}=-1 }\)

Collect like terms

\(\mathbf{(\dfrac{x-1}{3-x})=-1 -\dfrac{3}{4}}}\)

\(\mathbf{(\dfrac{x-1}{3-x})=-(\dfrac{7}{4}})}\)

-4(x - 1) = -7(3 -x)

-4x + 4 = -21 + 7x

4x -7x = -21 - 4

-3x = - 25

\(\mathbf{x= \dfrac{25}{3}}\)

\(\mathbf{x= 8\dfrac{1}{3}}\)

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Answer: The Answer is A

Step-by-step explanation:

Answer:

A on edge2020

Step-by-step explanation:

The proportion and the standard deviation of the sample proportion for samples of size 100 are approximately 0.5 and 0.05, respectively.

To determine the proportion and the standard deviation of the sample proportion for samples of size 100 from a population of size 1,000 with a proportion of 0.5, we'll follow these steps:
Identify the given values
- Population size (N) = 1,000
- Proportion (p) = 0.5
- Sample size (n) = 100
Calculate the sample proportion
The sample proportion is the same as the population proportion since we're taking a sample from the population.
Sample proportion (p') = p = 0.5
Calculate the standard deviation of the sample proportion
Use the formula: standard deviation (σ_p') = √[(p * (1-p)) / n]
- σ_p' = √[(0.5 * (1-0.5)) / 100]
- σ_p' = √(0.25 / 100)
- σ_p' = √0.0025
- σ_p' ≈ 0.05
Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are approximately 0.5 and 0.05, respectively.

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Therefore, the angle between the biker's line of sight and the trail is changing at a rate of approximately 0.039 radians per second when she is 25 feet away from the tree.

To solve this problem, we need to use trigonometry and calculus. Let's call the angle between the biker's line of sight and the trail θ, and let's call the distance from the traffic cone to the aspen tree x. Then we can use the tangent function to relate θ and x:

tan(θ) = x/15

We can also use the Pythagorean theorem to relate x and the distance d between the biker and the tree:

d^2 = x^2 + 25^2

Taking the derivative of both sides with respect to time t, we get:

2d (dd/dt) = 2x (dx/dt)

Now we can substitute the equation for x in terms of θ and solve for (dθ/dt):

tan(θ) = x/15

sec^2(θ) (dθ/dt) = (1/15) (dx/dt)

(dθ/dt) = (1/15) (dx/dt) sec^2(θ)

We can use the equation for d to solve for x:

x^2 = d^2 - 25^2

2x (dx/dt) = 2d (dd/dt)

(dx/dt) = (d/dd) (sqrt(d^2 - 25^2)) (dd/dt)

(dx/dt) = (d/ sqrt(d^2 - 25^2)) (dd/dt)

Now we can substitute this expression for (dx/dt) into the previous equation and evaluate it when d = 25 and θ = arctan(15/25):

(dθ/dt) = (1/15) [(d/ sqrt(d^2 - 25^2)) (dd/dt)] sec^2(arctan(15/25))

(dθ/dt) = (1/15) [(25/ sqrt(25^2 - 25^2)) (13)] sec^2(arctan(15/25))

(dθ/dt) = (13/375) sec^2(arctan(15/25))

(dθ/dt) ≈ 0.039 radians per second

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We fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the death rate for the treatment group is different from the overall death rate of 23%.

The null hypothesis is a kind of hypothesis which explains the population parameter whose purpose is to test the validity of the given experimental data.

To determine if any conditions are met, we need to perform a hypothesis test.

Null Hypothesis (H₀): The death rate for the treatment group is the same as the overall death rate of 23%.

Alternative Hypothesis (Hₐ): The death rate for the treatment group is different from the overall death rate of 23%.

We can use a one-sample proportion z-test to test this hypothesis. The test statistic is calculated as:

z = (p - P) / √(P(1-P) / n)

where p is the sample proportion (15/84), P is the hypothesized proportion (0.23), and n is the sample size (84).

Using these values, we get:

z = (0.1786 - 0.23) / √(0.23 * 0.77 / 84) = -1.76

The corresponding p-value for this test statistic is 0.0788, which is greater than the standard significance level of 0.05. Therefore, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the death rate for the treatment group is different from the overall death rate of 23%.

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Answer:

the gcf is 10

Step-by-step explanation:

factors of 10- 1,2,5,10

factors of 40-1,2,4,8,10,20,40

the biggest factor they both have is 10

hope this helps :>

a_2

a_3

a_4

a_5

Answer:

1, 5, 17, 53, 161

Step-by-step explanation:

Given:

First five terms of the sequence:

\(a_1=1\)

\(a_2=3a_1+2=3(1)+2=5\)

\(a_3=3a_2+2=3(5)+2=17\)

\(a_4=3a_3+2=3(17)+2=53\)

\(a_5=3a_4+2=3(53)+2=161\)

Given :-

To find:-

Answer:-

As we know that the diagonals of a rhombus bisects each other at right angles, so in the given figure ∆WOX is a right angled triangle, right angled at O .

Also , we know that all sides of the rhombus are equal.

So that;

\(\implies WX = WY = YZ = ZX \dots (i) \\\)

Again, in ∆WOX , by Pythagoras theorem , we have;

\(\implies WX^2 = WO^2 + OX^2 \\\)

And here ,

So on substituting the respective values, we have;

\(\implies WX^2 = 8^2 + 6^2 \\\)

\(\implies WX^2 = 64 + 36 \\\)

\(\implies WX^2 = 100 \\\)

\(\implies WX = \sqrt{100}=\boxed{10} \\\)

Hence the measure of WX is 10 .

Now again from equation (i) , we have;

\(\implies WX = WY \\\)

Therefore,

\(\implies \underline{\underline{ WY = 10}} \\\)

Hence the measure of WY is 10 .

and we are done!

Answer:

WY is 5 units.

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

Properties of a rhombus:

Given diagonals of 6 and 8 units.

According to the properties we mentioned above, WY is a hypotenuse of a triangle with legs equal to the half of the diagonals.

Use Pythagorean theorem to find the length of WY:

Answer:

I'll need a picture of it, and/or the options to help you out.

Step-by-step explanation:

During evaluation, Raya was wrong in step 2. She got the cube of -3 wrong. The correct value is -27 and not -9.

Given the expression, a³ - b³ / 5, where:

a = 2

b = -3

Substitute the values into the expression

Step 1: (2)³ - (-3)³ / 5

Evaluate

Step 2: 8 - (-27) / 5 (this is where Raya made a mistake, she had -9 instead of -27)

Step 3: 8 + 27/5

Step 4: 35/5 [addition]

Simplify

Step 5: 35/5 = 5 [division]

Thus, we can state that Raya was wrong in step 2. She got the cube of -3 wrong. The correct value is -27 and not -9.

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The inverse function in slope-intercept form (mx+b) of function f(x) = -3/5x + 6 is -5/3x + 10.

To find the inverse of a function, we start by swapping the x and y variables. Then, we solve the equation for y.

In this case, the inverse function is g(x) = (5/3)x + 6, which is in slope-intercept form (mx+b) with m=5/3 and b=6.

Swapping x and y, we get x = -3/5y + 6.

Now, we solve for y:

x - 6 = -3/5y

-5/3(x - 6) = y

So the inverse of f(x) is:

\(f^{-1}\)(x) = -5/3(x - 6)

In slope-intercept form, this is:

\(f^{-1}\)(x) = -5/3x + 10

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Answer:

15.500031  is the answer

Answer:

C

Step-by-step explanation:

43x=42Divided 42by 43

x=42/43

x=2/3

The value of x is 42/43.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

43x = 42

Divide both sides with 43.

x = 42/43

Thus,

x = 42/43.

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The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.

To find the measure of angle ZCBD, we need to examine the given information.

From the figure, we know that angle CDE is 155°.

Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.

In a rectangle, the sum of the interior angles at a vertex is always 90°.

Therefore, angle CBD is 90°.

Hence, the measure of angle ZCBD is 90°.

Therefore, the correct option is J. 90.

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9514 1404 393

Answer:

  x = 64

Step-by-step explanation:

I find it easier to solve the equation, which requires 1 operation. Substituting 3 numbers requires 3 operations, so is 3 times the work. (I'm basically lazy.)

  4x = 256 . . . . given

  x = 256/4 = 64 . . . . the last of the listed values

__

Alternatively, you can let a graphing calculator or spreadsheet try the list of values for you. That result is attached.

_____

Since you know the rules of signed multiplication, you know that x must be positive. Only one answer choice is positive, so you really only need to try one number.

  4(64) = 256 . . . . true, so x = 64

I hope this is the way it must be calculated

Conditional proportion of people using their phones in the afternoon: 0.504 and Conditional proportion of people using their phones in the evening: 0.667

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants

To calculate the conditional proportions of people using their phones in the afternoon and evening, we need to divide the number of people using their phones in the afternoon or evening by the total number of people surveyed who either used their phones in the afternoon or evening.

From the table, we see that 295 people used their phones in the afternoon, and 390 people used their phones in the evening. 100 people used their phones in both the afternoon and evening.

Therefore, the total number of people who either used their phones in the afternoon or evening is 295 + 390 - 100 = 585.

The conditional proportion of people using their phones in the afternoon is 295/585 ≈ 0.504.

The conditional proportion of people using their phones in the evening is 390/585 ≈ 0.667.

Rounding to 3 decimal places, we get:

Therefore, Conditional proportion of people using their phones in the afternoon: 0.504 and Conditional proportion of people using their phones in the evening: 0.667

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The growth rate of bacteria in a culture is not specified, so assuming it is exponential, the number of bacteria present after 2 hours will be approximately 1.8 x 10^8.

To solve this problem, we can use the exponential growth formula: N(t) = N0 * e^(rt), where N(t) is the number of bacteria at time t, N0 is the initial number of bacteria, r is the growth rate, and e is the base of the natural logarithm. First, we need to find the growth rate, r. We can use the initial and final number of bacteria and the time interval to do this.

N(t) = N0 * e^(rt)

171 = 38 * e^(49r)

ln(171/38) = 49r

r = ln(171/38)/49

r ≈ 0.069 Now we can use the formula to find N(120) (i.e., the number of bacteria after 2 hours, or 120 minutes):

N(120) = 38 * e^(0.069 * 120)

N(120) ≈ 1.8 x 10^8 Therefore, approximately 1.8 x 10^8 bacteria will be present in the culture after 2 hours.

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Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Answer:

36 inches

Step-by-step explanation:

Search up 3 feet in inches on and you'll see a converter

Answer:

I am going to say 3. but not 100% if it right let me know

Answer:  \(Student 2\)

Step-by-step explanation:

Hi there!

1.Subtract 7 from both sides of the equation

2.Simplify and substract the numbers and you get the answer

Answer: x^2 + y^2 - 4x + 18y = 76 = 0

The center of the circle given is (2, 9)

radius = r

The equation of a circle for a given point is

(x - h)^2 + (y - k)^2 = r^2

Where h = 2, and y = 9

(x - 2)^2 + (y - 9)^2 = 3^2

Expand the parentheses

(x - 2) (x - 2) + (y - 9) (y - 9) = 9

(x - 2) (x - 2 ) = x* x - 2*x - 2*x + 2* 2

= x^2 - 4x + 4

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

(y - 9) (y - 9) = y*y - y*9 - 9*y + 9*9

= y^2 - 18y + 81

(y - 9) (y - 9)= y^2 - 18y + 81

Therefore, the equation becomes

x^2 - 4x + 4 + y^2 - 18y + 81 = 9

Re-arrange the equation

x^2 + y^2 - 4x - 18y + 4 + 81 = 9

x^2 + y^2 - 4x - 18y = 9 - 81 - 4

x^2 + y^2 - 4x - 18y = -76

x^2 + y^2 - 4x - 18y + 76 = 0

The equation of a circle given the center (2, 9) and radius 3 is x^2 + y^2 - 4x + 18y = 76 = 0

Answer:

The equation of a circle given the center (2, 9) and radius 3 is x^2 + y^2 - 4x + 18y = 76 = 0

Step-by-step explanation:

There is only one statement that is true: B. The graph of the function is a parabola.

In this question we have a quadratic equation, whose characteristics have to be inferred and analyzed. We need to prove each of the five choices presented in the statement:

Choice A:

If we know that x = - 10, then we evaluated it at the function:

f(- 10) = (- 10)² - 5 · (- 10) + 12

f(- 10) = 162

False

Choice B:

By analytical geometry we know that all functions of the form y = a · x² + b · x + c always represent parabolae.

True

Choice C:

The quadratic function opens up as its leading coefficient is greater that 0.

False

Choice D:

If we know that x = 20, then we evaluate it at the function:

f(20) = 20² - 5 · (20) + 12

f(20) = 312

False

Choice E:

If we know that x = 0, then we evaluate it at the function:

f(0) = 0² - 5 · (0) + 12

f(0) = 12

There is only one statement that is true: B. The graph of the function is a parabola.

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Answer:

im not sure i understand but i think you mean put them in order? if i get this wrong then i can answer it down in the comments under this answer

12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 4

please let me know if i got it wrong so i can try to answer it correctly. try adding a picture of the question cus i dont understand

The possible value of QRP is 24^o.

A sine rule is a trigonometric rule which can be used to determine either the angle or length of side of a given triangle that is not a right angle.

sine rule states that;

a/Sin A = b/Sin B = c/Sin C

From the given question, let the measure of angle QRP be represented by R. So that;

9/ Sin 37 = 6/ Sin R

9 Sin R = 6 Sin 37

Sin R = 6 Sin 37/ 9

  = 3.611/ 9

  = 0.4012

R = Sin^-1 (0.4012)

  = 23.65

Thus, QRP is 24^o.

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Answer:

>

Step-by-step explanation:

2 of course greater than quarter

Answer:

Step-by-step explanation:

goo ba i think its gobba