3. Evaluate the following:
a.) What value of Syields the coordinate point (1, 3)?
b.) What value of Syields the coordinate point (3, 1)?
c.) x(710)=
d.) y(V10+ V5)= = B С
e.) x(2)=
f.) y(2.5)= ​

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:a \sin(bx) + c[/tex]

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]

General equation:-

So

Min=-2 ,max=4

Hence

midline =c=1

So plugin the values

Answer: See below

Step-by-step explanation:

Mean:

Since the sample is taken from a large population it follows the central limit theorem, which states that the sample mean is approximately equal to the population mean.

Therefore: [tex]\bold{\bar{X}=\mu=40.125}[/tex]

Standard Deviation:
Again by central limit theorem the standard deviation of the sample is calculated as:

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

Since n=4, therefore

S = 0.001

Answer:

P=90°

R=45°

Step-by-step explanation:

PQR=180°

180°-45°=135°

R=45°(iscoles triangle)

P=90°

Answer:

it's rectangle...

Step-by-step explanation:

mark me brainliest

Answer:

that's C. Its' a rectangle

It has 2 pairs of parallel sides. and they are the same size.

Answer:

135°

have a nice day

hope it helps

option A

hope it helps...!!

Listen ducky: 81x-27x=9

54x=9

X=1

---

6

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \tt \dashrightarrow \:81x - 27x = 9[/tex]

[tex]\qquad \tt \dashrightarrow \:9(9x - 3x )= 9[/tex]

[tex]\qquad \tt \dashrightarrow \:(9x - 3x )= 1[/tex]

[tex]\qquad \tt \dashrightarrow \:6x = 1[/tex]

[tex]\qquad \tt \dashrightarrow \:x = \cfrac{1}{6} [/tex]

The expression 3.25(g-1) + 2.75(3) by Jason and his friends is a linear expression

The expression is given as:

3.25(g-1) + 2.75(3)

The above expression means that:

Read more about linear expressions at:

https://brainly.com/question/14323743

To find the period

  ⇒ let's define what the period is

Definition of Period:  the interval of time between successive occurrences of the same state in an oscillatory or cyclic phenomenon

Based on the definition:

     ⇒it states that we must look for how long it takes the function to

         complete one cycle of repetition

In this graph: it takes [tex]\pi /2[/tex] to complete one period or one cycle of repitition

Answer: [tex]\frac{\pi }{2}[/tex]

Hope that helps!

Answer:

3/8

Step-by-step explanation:

There was 4/8 (or 1/2) of the pepperoni pizza left, and there was 7/8 of the sausage pizza left. To find out how much more sausage pizza was left than pepperoni pizza, you have to subtract the amount of pepperoni pizza remaining from the amount of sausage pizza remaining.

sausage pizza left - pepperoni pizza left = how much more sausage pizza than pepperoni pizza is left

Now, let's fill in the numbers.

7/8 - 4/8 = ?

7/8 - 4/8 = 3/8

Therefore, there was 3/8 more sausage pizza than pepperoni pizza left.

I hope this helps! Have a lovely day!! :)

Answer:

3/8

Step-by-step explanation:

So there is 7/8 sausage left and 4/8 pep left. The difference between the two is three slices (7/8 - 4/8) which is 3/8th of the whole pizza. This means that 3/8 represents the amount of pizza sausage has that pepperoni doesnt

Answer:

yoo :)

Step-by-step explanation:

Answer: $83.16

Step-by-step explanation:

     This means that next year the item will cost 154% of what it is now.

154% / 100 = 1.54

$54 * 1.54 = $83.16

                    Next year the item will cost $83.16.

Answer:

4d

Step-by-step explanation:

i think any variable alone with no coefficient equals one

so this problem is like adding the terms 3d + 1d

so 1+3=4

and you use the variable d at the end

therefore the answer would be 4d

hope this helped<3

Answer:

4d

Step-by-step explanation:

3d+d this means 3d+1d because any variable without a coefficient is 1

which means

3d+1d

=4d

hope this helps!!!

Solving the quadratic equation, it is found that it will take 8.5 seconds for the frisbee to hit the ground.

It is given by:

h(t) = -0.07t² + 0.007 + 5.

Which is a quadratic function with coefficients a = -0.07, b = 0.007, c = 5.

It hits the ground when h(t) = 0. Hence, the solution is found as follows.

[tex]\Delta = (0.007)^2 - 4(-0.07)(5) = 1.400049[/tex]

[tex]x_1 = \frac{-0.007 + \sqrt{1.400049}}{2(-0.07)} = -8.4[/tex]

[tex]x_2 = \frac{-0.007 - \sqrt{1.400049}}{2(=0.07)} = 8.5[/tex]

It will take 8.5 seconds for the frisbee to hit the ground.

More can be learned about quadratic equations at https://brainly.com/question/24737967

Step-by-step explanation:

1) Even + Even = Even

example : 26 + 22 = 48

2) Odd + Odd = Even

example : 11 + 13 = 24

3) Even + Odd = Odd

example : 43 + 2 = 45

Answer:

346.361 Yd^2 rounded to the nearest tenth is 346.4 Yd^2

Step-by-step explanation:

The area of a disk is A=π[tex]R^2[/tex] where R=10.5 yard.

Answer:

346.2 yd^2

Step-by-step explanation:

π*r^2 <== substitute the numbers for pi(π) and radius(r)

3.14*10.5^2

3.14*110.25

346.185 <== round to the nearest tenth

346.2 yd^2

Hope this helps!

Answer:

12%

Step-by-step explanation:

$ spent / total budget

168 / 1400 = 0.12

0.12 = 12%

[tex]\rm Answer:[/tex]

20.125%

[tex]\rm \# KiroToshiroComeback[/tex]

Answer:

18.85 years

Step-by-step explanation:

Using the [tex]A=P(1+\frac{r}{n} )^{nt}[/tex] we can manipulate it to give us time.

However, let's identify our variables:

A is our final amount which is given to us, $1400.

P is our principle which is $500.

r is our rate which is 5.5% which can be traducted into 0.055.

n is the # of time our money get compounded per year, in this case quarterly means 4 times a year therefore n = 4.

t is time and is what we are trying to solve for.

Now let's manipulate our equation to find t:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

[tex]\frac{A}{P} =(1+\frac{r}{n} )^{nt}[/tex]

[tex]\frac{1400}{500} =(1+\frac{0.055}{4} )^{4t}[/tex]

[tex]2.8=1.01375^{4t}[/tex]

[tex]log_{1.01375}(2.8)=log_{1.01375}1.01375^{4t}[/tex]

[tex]log_{1.01375}(2.8)=4t[/tex]

[tex]\frac{log_{1.01375}(2.8)}{4} =t[/tex]

[tex]18.84876253=t[/tex]

It would take about 18.85 years in order for you to accumulate at least $1400.

Answer:

the redued version of the fration 1602/420 is 3 14/25

Answer:

89/25

Step-by-step explanation:

you divide 1602 and 450

Answer:

Step-by-step explanation:

YL is the angle bisector of ∠AYB, so the two angles are congruent:

Substitute and solve for x:

Find the value of ∠BYL:

This is matching the answer option B.

The red angles must be equal as YL is bisector

<BYL

Option B

Answer: The corresponding point for the function 4f(x) is (5 , 24)

Step-by-step explanation:

no

[tex]\large\pink{\mid{\underline{\overline{\tt { →\: (-5,1)}\mid}}}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

The product of a rational number with an irrational number is an irrational number. To see this assume that x is a rational number and y an irrational number. Then let us assume that the product xy is rational, which means that there are integers a,b such that xy=a/b. But then we obtain y=(1/x)(a/b) which is also rational since the set of rational numbers is closed under multiplication. But this is a contradiction since y was assumed to be an irrational number.

Step-by-step explanation:

Question:Now consider the product of a nonzero rational number and an irrational number. Again, assume x =a/b , where a and b are integers and b ≠ 0. This time let y be an irrational number. If we assume the product x · y is rational, we can set the product equal to m/n, where m and n are integers and n ≠ 0. The steps for solving this equation for y are shown. Based on what we established about the classification of y and using the closure of integers, what does the equation tell you about the type of number y must be for the product to be rational? What conclusion can you now make about the result of multiplying a rational and an irrational number?

Answer:2

Answer:

I believe your answer is 15/7

Let's solve.

    [tex]\frac{30}{14} =\frac{15 * 2}{7*2} =\frac{15}{7}[/tex]

Hope that helps!

Answer:

arc sr

Step-by-step explanation:

i can't see the options for the question so lol

im gonna say its sr arc

Answer:

m<RUS = 65°

m<UST = 15°

Step-by-step explanation:

Hi there!

We are given circle O, with a diameter of US

The measure of arc RU is 50°, and the measure of arc UT is 30°

We want to find the measure of <RUS and <UST

First, let's start with <RUS
As stated before, we were given the diameter of a circle - that is segment US

Notice how ΔRUS (which contains <RUS) contains the diameter US - this means that the portion of the circle that contains ΔRUS is a semicircle.
If that portion is a semicircle, then that means that m<URS is 90°

Next, we know that the measure of arc RU is 50°

Notice how <RSU is an inscribed angle, meaning that it is created by 2 chords, and that its vertex is on the circle itself

Inscribed angles are half the measure of the arcs they intercept. The arc that <RSU intercepts is arc RU, which means that the measure of <RSU is 25°

Now, to find m<RUS, you can do m<URS - m<RSU, as the acute angles in a right triangle add up to 90°

In that case:

m<RUS = m<URS - m<RSU

via substitution, m<RUS = 90° - 25°

m<RUS = 65°

Now we need to find the measure of <UST

Notice how m<UST is also an inscribed angle

The arc it intercepts is arc UT, which we were given has a measure of 30 degrees

Therefore, m<UST = half of the measure of arc UT

Via substitution,

m<UST = 1/2 * 30

m<UST = 15°

Hope this helps!

Answer: D) 4/5

Hope this helps :)

Answer:

Given : line y=mx+4 intersects the curve y=3x2 −4x+7at two distinct points.

To find :   set of values of m

Step-by-step explanation:

y = mx  + 4

y = 3x² − 4x + 7

Substitute y = mx + 4  to find intersection point

mx + 4  = 3x² − 4x + 7

=>  3x² - x(m + 4) + 3 = 0

(m + 4)² > 4(3)(3)  

=> m² + 8m + 16 >  36

=> m² + 8m - 20 >  0

=> (m + 10)(m - 2) >  0

m <  - 10  & m > 2

m  = (-∞ , - 10) ∪ ( 2 , ∞ )