4(a)+8-a,if a=-2 evaluate each expression

Given:

Amplitude = 21

Vertical shift = 19 units down

To find:

The maximum and the minimum value.

Solution:

The general form of sine function is:

[tex]y=A\sin (Bx+C)+D[/tex]

Where, |A| is amplitude, [tex]\dfrac{2\pi}{B}[/tex] is period, [tex]-\dfrac{C}{B}[/tex] is phase shift and D is the vertical shift.

Here,

[tex]Maximum=D+A[/tex]

[tex]Minimum=D-A[/tex]

We have,

Amplitude: [tex]A = 21[/tex]

Vertical shift: [tex]D=-19[/tex]

Negative sign means shifts downwards.

Now,

[tex]Maximum=D+A[/tex]

[tex]Maximum=-19+21[/tex]

[tex]Maximum=2[/tex]

And,

[tex]Minimum=D-A[/tex]

[tex]Minimum=-19-21[/tex]

[tex]Minimum=-40[/tex]

Therefore, the minimum value is -40 and the maximum value is 2.

Answer:

A= 75°

Step-by-step explanation:

SinA = opposite÷hypoteneous

A = Sin^-1(32÷33). (inverse sin = sin^-1)

A = 75.85

A= 75°

Note: To calculate we use scientific calculater.

Angle A in triangle ABC is approximately 76 degrees. So, correct option is A.

In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. Let's consider triangle ABC, where angle B is the right angle, AC is the hypotenuse, and BC is one of the legs.

We are given that AC = 33 and BC = 32. To find angle A, we can use trigonometric ratios. In this case, we can use the sine function.

The sine of angle A is defined as the ratio of the length of the side opposite angle A (BC) to the length of the hypotenuse (AC):

sin(A) = BC / AC

Substituting the given values, we have:

sin(A) = 32 / 33

Using the inverse sine function (sin⁻¹), we can find the value of angle A:

A = sin⁻¹(32 / 33)

Using a calculator, we find that angle A is approximately 75.85 degrees. Rounding off to the nearest angle we get 76 degrees.

Therefore, angle A in triangle ABC is approximately 76 degrees. So, correct option is A.

To learn more about angle click on,

brainly.com/question/15485838

#SPJ2

Answer:

x³-2x²-4x+8

Step-by-step explanation:

a1=x+2

a2=x²-4⇒q=a2/a1=x-2

⇒a3=q.a2=(x-2).(x²-4)=x³-2x²-4x+8

Answer:

the sum of total angles of triangle is 180°.

Answer:

Step-by-step explanation:

We know that the thickness of the lake decreases at a rate of 0.2 meters per week, so we can write:

S(t)=-0.2t+4

we also know that after 7 weeks, the sheet is only 2.42 meters thick, which means we can write:

S(7)=2.42

S(7)=-0.2*7+X

S(7)=-1.4+X

2.42=-1.4+X

X=3.82

So, the function is: S(t)=--0.2*t+3.82

Answer:

y = 3.8 - 0.2x

Step-by-step explanation:

Khan Academy

it´s a polygon. letter c (decagon) should be right

hope it helps :)

Answer:

4x^(3)+2x^(2)+6x+3

Step-by-step explanation:

A polynomial is a combination of terms separated by + or − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms. Polynomial

Answer:

2*6*11

Step-by-step explanation:

I am not sure what your question is because I think you are asking the factor of these numbers. so u do 2+16+48 which is 66 and if you prime factorize it then you get 2*6*11. so the answer is 2*6*11.

Answer:

1 and 3 are congruent

Answer:

Angle 1 and angle 3 are congruent

Answer:

3x+4

Step-by-step explanation:

You have to combine like terms to get 3x+4.

Answer:

m+5

Step-by-step explanation:

4m + 5 - 3m

Combine like terms

4m-3m  +5

m+5

Answer:

This equation simplified is [tex]m+5[/tex]

Step-by-step explanation:

To simplify this expression subtract 3m from 4m to get 1m or m.

Answer:

11

Step-by-step explanation:

On a fair six-sided die, there is a [tex]\frac{1}{6}[/tex] chance of rolling each number. Therefore, for each of the rolls, the number 6 has a [tex]\frac{1}{6}[/tex] chance of being rolled. This can be read as for every 6 rolls, one 6 should appear.

Since the die is being rolled 66 times, we have the following proportion:

[tex]\frac{1}{6}=\frac{x}{66}[/tex], where [tex]x[/tex] is the theoretical number of times a roll of "6" occurs.

Multiply both sides by 66:

[tex]x=\frac{1}{6}\cdot 66=\boxed{11}[/tex]

Answer: He need 3 boxes.

Step-by-step explanation:

Split his floor into 6 parts, each part needing 1/2 of the tile box:

[tex]6*\frac{1}{2} =\frac{6}{2} =3[/tex]

Or you can add 1/2 six times for each 1/6 of the floor:

[tex]\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} =\frac{6}{2}=3[/tex]

Answer:

5*2 +2*2 = s*2

s = 5.38

s = 5.4

Answer:

I believe this might be the answer 52 − 1 + 5/1= 56

Answer:

56

Step-by-step explanation:

hope it helps ^^.

Answer:

If angle C is supplementary to angle D, then angle D is 60 degrees.

If angle C is corresponding, vertical, alternate interior, or alternate exterior to angle D, then angle D is 120 degrees.

Answer:

[tex]a * b = 210^4[/tex]

Step-by-step explanation:

Given

[tex]a,b>0[/tex]

[tex]gcd(a,b) = 210[/tex]

[tex]lcm(a,b) = 210^3[/tex]

Required

The product of a and b --- missing from the question

To do this, we make use of the following formula:

[tex]a * b = gcd(a, b) * lcm(a, b)[/tex]

So, we have:

[tex]a * b = 210 * 210^3[/tex]

Using the product law of indices, we have:

[tex]a * b = 210^4[/tex]

This means that the product of a and b gives [tex]210^4[/tex]

Answer:

Excuse me! plz provide the graphs 2.

Answer:

[tex]900\sqrt{3}\:\mathrm{cm^2}\text{ or }\approx 1,558.85\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

Heron's formula can be used to find the area of any triangle and is given by:

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are three sides of the triangle and [tex]s[/tex] is the semi-perimeter ([tex]s=\frac{a+b+c}{2}[/tex]).

By definition, all three sides and angles of an equilateral triangle are equal. Therefore, if the total perimeter is 180 cm, each side must have a length of [tex]180\div 3=60\text{ cm}[/tex].

The semi-perimeter is therefore:

[tex]s=\frac{60+60+60}{2}=90\text{ cm}[/tex]

Substitute values into Heron's formula to get:

[tex]A=\sqrt{90(90-60)(90-60)(90-60)},\\A=\sqrt{90\cdot 30\cdot30\cdot 30},\\A=\sqrt{2,430,000},\\A=\boxed{900\sqrt{3} \:\mathrm{cm^2}}\approx \boxed{1,558.85\:\mathrm{cm^2}}[/tex]

Answer:

3 three point baskets

9 two point baskets

4 one point baskets

Step-by-step explanation:

Since you cannot have a 1/3 or 2/3 of a three point basket, finding multiples of threes for the initial two point baskets is the easiest way to start.

y............. xnxnxnxnxnccncncncnnncncjcjnf

Answer:

(N)0.05 + (17-N)0.1 = M; M = amount of money I have.

Or 1.7-0.05N = M.

Step-by-step explanation:

Answer:

On the graphing calculator, use the function normCdf, where

It will result in normCdf(-9999,210,250,46) ≈ 0.192269 or 19.2269%

Answer:

[tex]6(6+4)=5(5+x)[/tex]

[tex]6(10)=5(5+x)[/tex]

[tex]60=5(5+x)[/tex]

[tex]12=5+x[/tex]

[tex]x=7[/tex]

~OAmalOHopeO

Answer:

[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

45 - 45 - 90 Triangles

When one leg = x, the hypotenuse = x[tex]\sqrt{2}[/tex]

So, if the hypotenuse is 1, then divide by [tex]\sqrt{2}[/tex] to get the leg.

[tex]\frac{1}{\sqrt{2} }[/tex]  rationalize denominator.

[tex]\frac{1}{\sqrt{2}}[/tex] × [tex]\frac{\sqrt{2}}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2}}{\sqrt{2} \sqrt{2} }[/tex]  =  [tex]\frac{\sqrt{2} }{\sqrt{4}}[/tex] =  [tex]\frac{\sqrt{2}}{2}[/tex]

Answer:

G. 14:5 is the correct answer.

Step-by-step explanation:

a:b = 4:5

a:c = 2:7

so,

here in first ratio a = 4

in second ratio a = 2

making them equal:

Taking LCM of 2 and 4 = 4

so

a:c = 2/7 = (2×2)/(7×2) = 4/14

so,

a = 4

c = 14

b = 5

so ratio c : b = 14:5

Answer:

70.20%

Step-by-step explanation:

Since you seem to be in a rush, let's go for a concise answer.

Let's add 146 and 344 to get 490, and do 344 / 490. This gives us the decimal proportion of ice cream cones that was sold. 344 / 490 = 0.70204.

Excellent. To get the percentage, let's multiply 0.70204 by 100 to get 70.204%. Rounding this to the nearest hundredth gives us 70.20%.

Hope this helps!

Note: This question seems to be badly worded, your 42.44% is correct if it's percentage of ice cream bowls in ice cream cones. I'm assuming that it's the percentage of all ice cream. :)

Answer:    [tex]\fbox{C} \: \: \: \dfrac{4 \times 10^{4} }{3 \times 10^{4} }[/tex]

Step-by-step explanation:

36,070 = 3.607 · 10⁴ ≈ 4 · 10⁴

29,029 = 2.9029 · 10⁴ ≈ 3 · 10⁴

Let's how manytimes greater the distance to the bottom of Challenger Deep is than the distance to the top of Mount Everest:

[tex]\dfrac{4 \times 10^{4} }{3 \times 10^{4} }[/tex]

Answer:

C

Step-by-step explanation:

First, the question is asking how many times greater the distance to the Challenger Deep is compared to Mount Everest. This means that the Challenger Deep will be on top, with the distance to Mount Everest on the bottom.

Next, we can see that in our answers, we are only given one significant digit. This means that we have to round our original numbers to the nearest significant digit and work from there. For Challenger Deep, 36,070 must be rounded to the nearest ten thousandth as it is in the ten thousands. Therefore, it must be rounded to 40,000 or 30,000. As 36,070 is closer to 40,000 than 30,000 (we can tell this because the second number, 6, is greater than 5, so we round up), we can represent this as 40,000. For Mount Everest, we can round 29,029 to either 20,000 or 30,000. 30,000 is the appropriate choice here because 9, the second number, is greater than 5.

Therefore, our ratio is now 40,000 / 30,000 . Our answers are written in scientific notation, so we must convert our numbers to those values.

Let's start with 40,000 . Our one significant digit is 4, so we can write this as 4 * something. For each number in 10 to the power of x (x is a placeholder value), we add x amount of zeros. For example, for 4 * 10², we add 2 zeros, making it 400. There are 4 zeros here, so to write this in scientific notation, we have 4 * 10^4

Similarly, for 30,000 , we can write this as 3 * 10^4 as there are 4 zeros.

Our ratio is thus 40,000 = 4*10^4 , which is the Challenger Deep value rounded, over 30,000 = 3 * 10^4, which is the Mount Everest value rounded. We can write this as [tex]\frac{4*10^{4}}{3*10^{4}}[/tex], or C

Answer:

48 teachers

Step-by-step explanation:

Here's two solutions:

Solution 1: Build an equation.

Let $T$ be the number of teachers. The number of math teachers is $\frac{3}{8}T$, and the number of non-math teachers is $30$. Since each teacher is either a math teacher or not a math teacher, we have

$$\frac{3}{8}T + 30 = T.$$Multiplying each side of this equation by $8$ gives us

$$3T + 240 = 8T.$$Subtracting $3T$ from each side gives us $240 = 5T$, and dividing both sides by $5$ gives us $48=T$. Therefore, there are $48$ teachers at Naran's school.

Solution 2: Think proportionally.

Since three-eighths of the teachers are math teachers, the other five-eighths are not math teachers. So, these $30$ non-math teachers are five-eighths of the total number of teachers. Therefore, $\dfrac{30}{5} = 6$ teachers are one-eighth of the total. So, there are $6\cdot 8 = \boxed{48}$ teachers in all.