Find the measure of the indicated angle to the nearest degree.
A. 46
B. 76
C. 44
D. 14

[tex] \sf Q) \: {3}^{3} + {4}^{2} = {?}[/tex]

[tex] \sf \to \: {3}^{3} + {4}^{2} [/tex]

[tex] \sf \to \: 27 + 16= 43 [/tex]

Thus, the value is 43.

Answer:

B

Step-by-step explanation:

The equation represented in the question is the parent absolute value question. If you know the different parent functions, then the answer is obvious because absolute value equations always form a V. However, if you do not do this then you can create a table and plugin values. Plugin numbers like 0, -1, and 1 for X and solve for Y. Finally, graph these points and see what graph best fits. If needed you can also plug in more points.

Answer:

B.

Step-by-step explanation:

I got it correct on the warm up

Answer:

A since A is left blank its A

Answer:

x = 12 m and y = 22 m

Step-by-step explanation:

Total area = 264 [tex]m^2[/tex]

∴ xy = 264

 [tex]$y=\frac{264}{x}$[/tex]     ............(1)

Cost function = [tex]C(x,y) = 2 x (15.60) + 2y(15.60) + 2x(13)[/tex]

                          [tex]C(x,y) = 57.2 x + 31.2y[/tex]

Therefore, using (1),

[tex]$C(x) = 57.2x+31.2 \left(\frac{264}{x} \right)$[/tex]

[tex]$C(x) = 57.2x+\frac{8236.8}{x} \right)$[/tex]

So, cost C(x) minimum where C'(x) = 0

[tex]$C'(x) = 57.2 - \frac{8236.8}{x^2}=0$[/tex]

[tex]$x^2=\frac{8236.8}{57.2}$[/tex]

[tex]$x^2=144$[/tex]

[tex]$x=12$[/tex] m

Therefore, [tex]$y=\frac{264}{x}$[/tex]

                      [tex]$=\frac{264}{12}$[/tex]

                      = 22 m

So the dimensions are  x = 12 m and y = 22 m.

Answer:

[tex]S.E = 0.108[/tex]

Step-by-step explanation:

From the question we are told that:

Mean age [tex]\=x=5.5[/tex]

standard deviation [tex]\sigma= 0.7 years.[/tex]

Sample size [tex]n=43[/tex]

Generally the equation for Standard error is mathematically given by

[tex]S.E= \sigma \bar x[/tex]

[tex]S.E= \frac{\sigma}{\sqrt n}[/tex]

[tex]S.E= \frac{0.7}{\sqrt 43}[/tex]

[tex]S.E = 0.108[/tex]

Answer:

(negative infinity, positive infinity)

Any value of x makes the equation true.

Step-by-step explanation:

-5(3-4x) = -6+20x - 9

-15 + 20x = -15 + 20x

(negative infinity, positive infinity)

Answer:

True for all x

Step-by-step explanation:

-5(3-4x) = -6+20x - 9

Distribute

-15 +20x = -6+20x - 9

Combine like terms

-15 +20x = -15+20x

Subtract 20x from each side

-15 +20x-20x = -15+20x -20x

-15 =-15

This is true for all x

Th

Answer:

x ≈ 5.89

General Formulas and Concepts:

Pre-Algebra

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

0.77 = log(x)

Step 2: Solve for x

Answer:

D.

Step-by-step explanation:

According to converse of the Pythagorean Theorem, that if the square of the third side (longest side) of a triangle equals the sum of the other two shorter sides, therefore, the triangle formed must be a right triangle.

From the side lengths given, the following satisfies the Pythagorean triple:

5² + 12² = 13².

Therefore, the procedure to use to confirm the converse of the Pythagorean Theorem would be to draw the two shortest side, 5 cm and 12 cm, so that a right angle will be between them. The side measuring 13 cm should therefore fit in to form a right triangle.

Answer:

2437miles

Step-by-step explanation:

amount left before it starts over = 999999-98654 = 1354

amount it will show = 3782-1354 = 2437

The odometer will show 2437 miles after 3782 miles if the odometer on your car shows the total number of miles traveled up to 99,999 miles, after it turns over it starts over at 0.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

The odometer on your car shows the total number of miles traveled up to 99,999 miles.

Current reading = 98,654 miles

After 99,999 miles the odometer turns over it and starts over at 0

The differnece = 99999 - 98654 = 1354

After 1354 miles odometer turns over and starts over at 0

Now, take the difference between 3782 and 1354

= 3782 - 1354

= 2437 miles

After 3782 miles the meter will show 2437 miles

Thus, the odometer will show 2437 miles after 3782 miles if the odometer on your car shows the total number of miles traveled up to 99,999 miles, after it turns over it starts over at 0.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ5

Answer:

2/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 10 even numbers from 1 to 20

2 4 6 8 10 12 14 16 18 20

There 20 possible choices.

P(Even) = 10 /20 = 1/2

Answer:

The complete question and its solution in the attached file please find it.

Step-by-step explanation:

(a) The n-th partial sum of the infinite series,

[tex]\displaystyle\sum_{n=0}^\infty\frac5{4^n}[/tex]

is

[tex]S_n = \displaystyle\sum_{k=0}^n\frac5{4^k} = 5\left(1+\frac14+\frac1{4^2}+\cdots+\frac1{4^n}\right)[/tex]

Multiplying both sides by 1/4 gives

[tex]\dfrac14S_n = \displaystyle\sum_{k=0}^n\frac5{4^k} = 5\left(\frac14+\frac1{4^2}+\frac1{4^3}+\cdots+\frac1{4^{n+1}}\right)[/tex]

Subtract this from [tex]S_n[/tex] and solve for [tex]S_n[/tex] :

[tex]S_n-\dfrac14S_n = 5\left(1-\dfrac1{4^{n+1}}\right)[/tex]

[tex]\dfrac34 S_n = 5\left(1-\dfrac1{4^{n+1}}\right)[/tex]

[tex]S_n = \dfrac{20}3\left(1-\dfrac1{4^{n+1}}\right)[/tex]

(your solution is also correct)

(b) The infinite sum is equal to the limit of the n-th partial sum:

[tex]\displaystyle\sum_{n=0}^\infty \frac5{4^n} = \lim_{n\to\infty} \boxed{\sum_{k=0}^n \frac5{4^k}}[/tex]

and the sum indeed converges to 20/3.

odd numbers more than 100 are infinite.

Step-by-step explanation:

[tex] \boxed{cos^2x=\frac{1-cos2x}{2}}\\cos^2(45+A)+cos^2(45-A)=\frac{1-cos2(45+A)}{2}+\frac{1-cos2(45-A}{2}\\=\frac{1 - cos(90 +2A) }{2} + \frac{1 - cos(90 - 2A) }{2} \\ = \frac{2- ( - sin 2A) - sin2A}{2} \\ = \frac{2 + sin2A -sin2A }{2} \\ = \frac{2}{2} \\ = 1[/tex]

Step-by-step explanation:

Prove that

[tex]\cos^2(45+A)+\cos^2(45-A) =1[/tex]

We know that

[tex]\cos (\alpha \pm \beta) = \cos \alpha\cos \beta \mp \sin \alpha \sin\ beta)[/tex]

We can then write

[tex]\cos (45+A)=\cos 45\cos A - \sin 45\sin A[/tex]

[tex]\:\:\:\:\:\:\:\:= \frac{\sqrt{2}}{2}(\cos A - \sin A)[/tex]

Taking the square of the above expression, we get

[tex]\cos^2(45+A) = \frac{1}{2}(\cos^2A - 2\sin A \cos A + \sin^2A)[/tex]

[tex]= \frac{1}{2}(1 - 2\sin A\cos A)\:\:\;\:\:\:\:(1)[/tex]

Similarly, we can write

[tex]\cos^2(45-A) =\frac{1}{2}(1 + 2\sin A\cos A)\:\:\;\:\:\:\:(2)[/tex]

Combining (1) and (2), we get

[tex]\cos^2(45+A)+\cos^2(45-A)[/tex]

[tex]= \frac{1}{2}(1 - 2\sin A\cos A) + \frac{1}{2}(1 + 2\sin A\cos A)[/tex]

[tex]= 1[/tex]

Answer:

The second statement is the CONVERSE of the first.

Step-by-step explanation:

x ⇒ y ----> Statement

y ⇒ x ----> Converse

Say there is a statement as follows:

If it rains then it is a holiday.

The converse of the statement would be:

If it is a holiday then it is raining.

In Mathematics, the converse of statements need not always be true.

For example, the school wouldn't be closed only when it is raining. It could close for many other reasons as well.

Consider the following mathematical example.

Statement: If f is a function, then it is a relation.

Converse:   If f is a relation then it is a function, which need not always be true.

When the converse of a statement is also true we can say it is an if and only if (iff) statement.

Statement: If a - b > 0, then a > b.

Converse: If a > b then a - b > 0.

Here, the converse is also true.

W can write the statement as:

a - b > 0 ⇔ a > b

Hope this helps :)!

Answer:

The image shows the graph of y = 2 tan x.

Answer:  (4, -2)  which is choice A

Explanation:

The rule I used is [tex](x,y) \to (-x,-y)[/tex]

Simply swap the sign of each x and y coordinate to go from (-4, 2) to (4, -2)

This rule only works for 180 degree rotations. It doesn't matter if you go clockwise or counterclockwise.

Answer:

1 2/3.

Step-by-step explanation:

4 - 2 3/9

= 4 - 2 1/3

= 4 - 7/3

= 12/3 - 7/3

= 5/3

= 1 2/3

Answer:

A.

Step-by-step explanation:

Twust me n' dwont doubt me

A is for apple

And cause A looks like ABC

DWUHHH

Answer:

just make a 120 angle and divide it by 2, 60.

A function f : X → Y assigns only one value of y ∈ Y to any given x ∈ X.

For each of the three elements in {a, b, c}, there are 5 choices of values to assign from {1, 2, 3, 4, 5}, so there are 5³ = 125 possible functions.

Answer:

36151,82923

Step-by-step explanation:

30000* ( 1+12,5%/12)^18

Answer:

she will be using more orange juice

Answer:

she will be using more orange juice

Answer:

The standard error for the new sample size is of 23.4.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Interpretation:

From this, we can gather that the standard error is inversely proportional to the square root of the sample size, that is, for example, if the sample size is multiplied by 4, the standard error is divided by the square root of 4, which is 2.

Standard error of 52.4, sample size multiplied by 5. What is the standard error for the new sample size?

The standard error of 52.4 divided by the square root of 5. So

[tex]s = \frac{52.4}{\sqrt{5}} = 23.4[/tex]

The standard error for the new sample size is of 23.4.

Answer:

a. -1

e. 5/4

Step-by-step explanation:

Hi there!

The quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex] where the given quadratic is in the form [tex]ax^2+bx+c=0[/tex]

From the given equation [tex]4x^2-x-5 = 0[/tex], we can identify the values of a, b, and c:

a=4

b=-1

c=-5

Plug these values into the quadratic formula:

[tex]x=\frac{-(-1)\pm\sqrt{(-1)^2-4(4)(-5)}}{2(4)}\\x=\frac{1\pm\sqrt{81}}{8}[/tex]

[tex]x=\frac{1\pm9}{8}[/tex]

[tex]x=\frac{1+9}{8}= \frac{5}{4} \\x=\frac{1-9}{8} = -1[/tex]

Therefore, the solutions to the quadratic are 5/4 or 1.

I hope this helps!

Answer:

c. -[tex]x^{2}[/tex] + 8x + 6

Step-by-step explanation:

2[tex]x^{2}[/tex] + 7x + 6 - (3[tex]x^{2}[/tex] - x)

2[tex]x^{2}[/tex] + 7x + 6 - 3[tex]x^{2}[/tex] + x   (Distributed the negative to terms inside parentheses)

-[tex]x^{2}[/tex] + 8x +6                   (Combine like terms)