Find the measure of angle k

Answer:

true

Step-by-step explanation:

2log2 6- log2 9+ 1/3log2 27 =

= log2 6² - log2 9 + log2 27^(1/3)

= log2 36 - log2 9 + log2 3

= log2 [(36 × 3)/9]

= log2 12

The statement is true.

Answer:

there are 56 ounces in 3.5 pounds.

Answer:

384 cm²

Step-by-step explanation:

Property of rhombus :

Given :

Solving :

Area of the given rhombus is twice the Area of ΔABC formed by the given diagonal and two adjacent sides.

Answer:

(x - 1) x - X^2

Hope this helps :)

Answer:

25.13 ft

Step-by-step explanation:

Okay, simple. So first and foremost, set up the equation for the circumference of a circle

Circumference: [tex]2\pi (r)[/tex]

The diameter of the circle is 8 which means the radius is 4

So plug it in

[tex]2\pi (4)[/tex]

That will give us 25.13 ft

I really hope this helps!

Based on the fact that the distance of the fishing line is the sample space being classified, we can say that it is Infinite and Continuous.

Distance is said to be a continuous variable because it can be described as an unlimited value between the objects being measured.

As a result, the distance of the fishing line in this case must be continuous which means that it is infinite by nature.

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Answer:

$27,039

Step-by-step explanation:

Calculating the amount of interest :

Given values :

Solving :

The knowledge of fair decision making and probability concepts illustrates that the Power Pill should be produced and distributed.

It should be noted that probability simply means the likelihood of the occurence of a particular event.

In this case, the knowledge of fair decision making and probability concepts illustrates that the Power Pill should be produced and distributed.

It's important to adequately carry out a research on the pill and ensure that it's safe.

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Answer:

we can get the difference by just subtracting -1 and +1 which will give us 0

Using the t-distribution, it is found that the desired measures are given as follows:

At the null hypothesis, it is tested if the mean GPA of the students is of 3.3, that is:

[tex]H_0: \mu = 3.3[/tex]

At the alternative hypothesis, it is tested if the mean GPA is different than 3.3, hence:

[tex]H_1: \mu \neq 3.3[/tex].

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters are given as follows:

[tex]\overline{x} = 3.33, \mu = 3.3, s = 0.08, n = 55[/tex]

Hence, the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.33 - 3.3}{\frac{0.08}{\sqrt{55}}}[/tex]

t = 2.78.

We are testing if the mean is different of a value, hence we have a two-tailed test. Using a t-distribution calculator, with 55 - 1 = 54 df and t = 2.78, the p-value is of 0.01.

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If the function f(x) is translated at a point (2, 6). Then the function g(x) will be given as g(x) = (x - 2)² + 6.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Function g can be thought of as a translated (shifted) version of f(x) = x².

Then the equation of the function g(x) will be

g(x) = (x - 2)² + 6

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Answer:

3(x -25)

Step-by-step explanation:

common factor is 3,

75 / 3 = 25

3x / 3 = x

Answer:

3(x-25)

Step-by-step explanation:

The common factor is three

divide both terms by three

3x/3 = x

-75/3 = -25

put them back together with the three outside of the parentheses

3(x-25)

Answer:

<B = 52°

Step-by-step explanation:

The triangle is 180° Angle A and B add up to 118°

4y° + (3y + 7)° = 112°

7y + 7 = 112°

7y = 105

y = 15

Since you solve for y, plug your y into the angles to solve.

<B = 3y + 7

<B = 3 * 15  + 7

<B = 45 + 7

<B = 52°

Answer:A

nswer is D. four over pi

Step-by-step explanation:

x1=0, y1=3

x2=pi/2, y2=5

rate of change = (y2-y1)/(x2-x1)

=(5-3)/(pi/2-0)

=4/pi

Answer:

90 degree angle

Step-by-step explanation:

Answer:

Carbon dioxide

Step-by-step explanation:

I think it’s carbon dioxide because, it is the most significant greenhouse gas. I also think it’s the carbon dioxide because the question is asking which one it is and I chose carbon dioxide.

Answer:

3/4 or 15/20

Step-by-step explanation:

this is because, you know there is 3 girls named the same thing and two boys named the same thing so if you know there are 20 people in the class, you do 3g + 2b = 5/20

So the fraction is either 15/20 or 3/4 for reduced fraction.

A triangle is a fundamental form in geometry. The AAA property can not be used to prove if the triangles are congruent.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

The property angle-angle-angle (AAA), is used for similar triangles. It can not be used to prove that two triangles are congruent triangles. Therefore, it is not a valid criterion.

Now, this can be proved using two triangles having the same angle measurement as 60°. The two triangles given below has the same angle measurement although, their sides have different measurement, thus, the two triangles are not equal.

Hence, the AAA property can not be used to prove if the triangles are congruent.

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Answer: A triangle is a basic geometric shape. Triangle congruence cannot be established using the AAA property. A triangle is a polygon having three vertices and three edges. It is a fundamental geometric figure. For comparable triangles, the property angle-angle-angle (AAA) is employed. It cannot be used to establish the congruence of two triangles. As a result, it is an invalid standard. Now, this may be demonstrated using two triangles with angles equal to or greater than 60°. The two triangles shown below are not equal because they have different side measurements despite having the same angle measurement. The triangles' congruence cannot therefore be established using the AAA property.

Step-by-step explanation:

Answer:

Question 3: [tex]b \geq 2[/tex]

Question 4: [tex]r < -5[/tex]

Question 5: [tex]y \leq -6[/tex]

Step-by-step explanation:

Question 3:

[tex]b + 2 \geq 4\\b + 2 -2 \geq 4 - 2\\b \geq 2\\[/tex]

Question 4:

[tex]13 > 18 + r\\13 - 18 > 18 -18 + r\\\\-5 > r\\ r < -5[/tex]sign flips when r switches sides

Question 5:

[tex]3y \leq 2y - 6\\3y - 2y \leq 2y - 2y - 6\\\\y \leq - 6\\[/tex]

Answer:

3

Step-by-step explanation:

in the image Attached

......

Answer:

3

Step-by-step explanation:

Prime factorize both numbers :

The GCF is the highest common term that both terms share.

Hence,

Answer:

t (based on the information you have given)

Step-by-step explanation:

d is dependent on the equation and 43 will probably change

Answer:

43

Step-by-step explanation:

In the expression d = 43t, two variables are visible. One represents constants and the other represents the dependent variable. X is often used to represent the independent variable which is the one that is always manipulated ( I CHANGE ). The 43 represents the variable that is always changing and being manipulated. 43 represents X as it is the representing the manipulated variable.

Answer:

Choice B: x = 2, y = 1.

Step-by-step explanation:

[tex]n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=9\\ d=-2 \end{cases} \\\\\\ a_n=9+(n-1)(-2)\implies a_n=9-2n+2\implies a_n=11-2n[/tex]

Answer:

x = - 6

Step-by-step explanation:

x² + 12x + 36 = 0 ( subtract 36 from both sides )

x² + 12x = - 36

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(6)x + 36 = - 36 + 36

(x + 6)² = 0 ( take square root of both sides )

x + 6 = [tex]\sqrt{0}[/tex] = 0 ( subtract 6 from both sides )

x = - 6

Answer:

62 Inches

Step-by-step explanation:

It can be seen from the figure.

[tex]{ab}^{2} = {ac}^{2} + {bc}^{2} [/tex]

Pythagoras

AB= 13

So the perimeter is

[tex](13 + 18) \times 2 = 62[/tex]

Answer:

A minimum of 21250 packets per day.

Step-by-step explanation:

If Monday produced 15,000 packets, and Tuesday was closed they produced 15,000 packets in 2 days.

The factory is open 6 days a week.

They need 100,000 packets.

They have 15,000 packets.

6 subtract 2 is 4.

100,000 subtract 15,000 is 85,000.

They need 85,000 packets in 4 days.

That is a minimum of 21250 packets per day.

21250 is minimum equal number of packets that must be packed per day for the remaining days

Two or more expressions with an Equal sign is called as Equation.

Given that packaging factory is open from Monday to Saturday.

On monday 15,000 packets were packed.

On tuesday the factory is closed.

The factory has to pack in that week of 100000 packets.

As already 2 days completed by packing 15000

The remaining packets should be packed within 4 days.

The remaining packets are 100000-15000

85000

This should be done with in four days of time.

We need to find the minimum equal number of packets that must be packed per day for the remaining days.

Divide 85000 by 4

85000/4

21250

Hence, 21250 is minimum equal number of packets that must be packed per day for the remaining days

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