PLEASE HELP WILL GIVE 98 POINTS!!


The number of cases of a new disease can be modeled by the quadratic regression equation y= -2x^2+40x+8, where x represents the year.


Which is the best prediction for the number of new cases in year 15?


A. 276

B. 394

C. 72

D. 158

Answer:

the answer is c

Step-by-step explanation:

The events are illustrations of probability, and the events A and B are not independent events because P(A∣B) ≠ P(A)

From the complete table, we have the following parameter:

P(A∣B) ≠ P(A)

Two events A and B are independent if

P(A∣B) = P(A)

Given that:

P(A∣B) ≠ P(A)

It means that the events are not independent.

Hence, the events A and B are not independent events because P(A∣B) ≠ P(A)

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Answer:

y = -4x - 2

Step-by-step explanation:

Parallel has same slope

so

y - 2 = -4(x + 1)

y - 2 = -4x - 4

y = -4x - 2

Equation

y = -4x - 2

Answer:

Here's what I get.

Step-by-step explanation:

Question 10

The general equation for a sine function is

y = a sin[b(x - h)] + k

Here's what the parameters control:

a = amplitude

k = vertical shift

b = the period (period = 2π/b; If period = 2π/3, b = 3)

h = horizontal shift

Reflect across y-axis (x ⟶ -x)

Your sine function will be:

[tex]\begin{array}{rllll}y = & a \text{ sin}[ & b(x- & h)] + & k)\\& \downarrow & \downarrow & \downarrow & \downarrow\\& 4 & 3 & \frac{\pi}{4} & 3\\\end{array}[/tex]

Here are the effects of each parameter.

(a) Amp = 4

Increases the amplitude by a factor of 4 (Fig. 1)

(b) Up 3

k = 3. The graph shifts up three units (Fig. 2).

(c) Period = 2π/3

Set k = 3. The period changes from 2π to 2π/3 (Fig. 3).

Notice that you now hav3 three waves between 0 and 2π, where originally you had one.

(d) Right π/4.

Set h = 4. The graph shifts right by π/4.

notice how the trough at ½π shifts to ¾π.

(e) Reflect about y-axis

Set x equal to -x. Notice how the trough at (¾π, -1) is transformed to the trough at (-¾π, -1) (Fig. 5).

Question 12

y = a cos[b(x - h)] + k

a = 2

Per = 10π/3 ⟶ b = 3/5

h = 0

k = 0

Reflect over x-axis: y ⟶ -y

(a) a = 2

The amplitude is doubled.

(b) Per = 10π/3 ⟶ b = 3/5

The period (peak-to-peak distance) lengthens to 10π/3.

(c) Reflect about x-axis (y ⟶ -y)

All peaks are transformed into troughs and vice-versa.

Answer:

3x^2+2x-1

Step-by-step explanation:

Start by plugging in the 2 equations into their assigned places then simplify.

Answer:14

Step-by-step explanation:( 3X2+1)-(1-X)

=3X2+1 -1+X

=3X2+X

ANY WHERE WE SEE X WE PLACE 2

=3(2)(2)+2

3*4+2

=12+2

14

The answer is does matter.

let's recall that a cube is just a rectangular prism with all equal sides, check picture below.

[tex]\bf \textit{volume of a cube}\\\\ V=s^3~~ \begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} V=&27000 \end{cases}\implies 27000=s^3\implies \sqrt[3]{27000}=s\implies 30=s \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cube}\\\\ SA=6s~~\begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} s=&30 \end{cases}\implies SA=6(30)\implies SA=180[/tex]

Answer:

Step-by-step explanation:

number3

Answer:

B. 4n+2

Step-by-step explanation:

You are given the pattern 6, 10, 14, 18, 22

Rewrite it as

[tex]a_1=6\\ \\a_2=10\\ \\a_3=14\\ \\a_4=18\\ \\a_5=22[/tex]

Note that

[tex]a_2-a_1=a_3-a_2=a_4-a_3=a_5-a_4=4[/tex]

This means that given pattern is a part of arithmetic sequence with

[tex]a_1=6\\ \\d=4[/tex]

So, the nth term of this arithmetic sequence is

[tex]a_n=a_1+(n-1)d\\ \\a_n=6+4(n-1)\\ \\a_n=6+4n-4\\ \\a_n=4n+2[/tex]

Answer:

Part 1) [tex]sin(\theta)=\frac{\sqrt{10}}{10}[/tex]

Part 2) [tex]cos(\theta)=-3\frac{\sqrt{10}}{10}[/tex]

Part 3) [tex]tan(\theta)=-1/3[/tex]

Step-by-step explanation:

we know that

The angle is in the second quadrant  so the sine is positive, the cosine is negative and the tangent is negative

step 1

Find the radius r applying the Pythagoras theorem

[tex]r^{2}=x^{2} +y^{2}[/tex]

substitute the given values

[tex]r^{2}=(-3)^{2} +(1)^{2}[/tex]

[tex]r^{2}=10[/tex]

[tex]r=\sqrt{10}\ units[/tex]

step 2

Find the value of [tex]sin(\theta)[/tex]

[tex]sin(\theta)=y/r[/tex]

substitute values

[tex]sin(\theta)=1/\sqrt{10}[/tex]

Simplify

[tex]sin(\theta)=\frac{\sqrt{10}}{10}[/tex]

step 3

Find the value of [tex]cos(\theta)[/tex]

[tex]cos(\theta)=x/r[/tex]

substitute values

[tex]cos(\theta)=-3/\sqrt{10}[/tex]

Simplify

[tex]cos(\theta)=-3\frac{\sqrt{10}}{10}[/tex]

step 4

Find the value of [tex]tan(\theta)[/tex]

[tex]tan(\theta)=y/x[/tex]

substitute values

[tex]tan(\theta)=-1/3[/tex]

Answer:

Part 4) [tex]sin(\theta)=\frac{12}{13}[/tex]

Part 10) The angle of elevation is [tex]40.36\°[/tex]

Part 11) The angle of depression is [tex]78.61\°[/tex]

Part 12) [tex]arcsin(0.5)=30\°[/tex]  or [tex]arcsin(0.5)=150\°[/tex]

Part 13) [tex]-45\°[/tex]  or [tex]225\°[/tex]

Step-by-step explanation:

Part 4) we have that

[tex]cos(\theta)=-\frac{5}{13}[/tex]

The angle theta lies in Quadrant II

so

The sine of angle theta is positive

Remember that

[tex]sin^{2}(\theta)+ cos^{2}(\theta)=1[/tex]

substitute the given value

[tex]sin^{2}(\theta)+(-\frac{5}{13})^{2}=1[/tex]

[tex]sin^{2}(\theta)+(\frac{25}{169})=1[/tex]

[tex]sin^{2}(\theta)=1-(\frac{25}{169})[/tex]  

[tex]sin^{2}(\theta)=(\frac{144}{169})[/tex]

[tex]sin(\theta)=\frac{12}{13}[/tex]

Part 10)

Let

[tex]\theta[/tex] ----> angle of elevation

we know that

[tex]tan(\theta)=\frac{85}{100}[/tex] ----> opposite side angle theta divided by adjacent side angle theta

[tex]\theta=arctan(\frac{85}{100})=40.36\°[/tex]

Part 11)

Let

[tex]\theta[/tex] ----> angle of depression

we know that

[tex]sin(\theta)=\frac{5,389-2,405}{3,044}[/tex] ----> opposite side angle theta divided by hypotenuse

[tex]sin(\theta)=\frac{2,984}{3,044}[/tex]

[tex]\theta=arcsin(\frac{2,984}{3,044})=78.61\°[/tex]

Part 12) What is the exact value of arcsin(0.5)?

Remember that

[tex]sin(30\°)=0.5[/tex]

therefore

[tex]arcsin(0.5)[/tex] -----> has two solutions

[tex]arcsin(0.5)=30\°[/tex] ----> I Quadrant

or

[tex]arcsin(0.5)=180\°-30\°=150\°[/tex] ----> II Quadrant

Part 13) What is the exact value of [tex]arcsin(-\frac{\sqrt{2}}{2})[/tex]

The sine is negative

so

The angle lies in Quadrant III or Quadrant IV

Remember that

[tex]sin(45\°)=\frac{\sqrt{2}}{2}[/tex]

therefore

[tex]arcsin(-\frac{\sqrt{2}}{2})[/tex] ----> has two solutions

[tex]arcsin(-\frac{\sqrt{2}}{2})=-45\°[/tex] ----> IV Quadrant

or

[tex]arcsin(-\frac{\sqrt{2}}{2})=180\°+45\°=225\°[/tex] ----> III Quadrant

Final answer:

The probability that a student takes theatre given that the student is taking choir is found using conditional probability and is calculated to be 0.3, or 30%.

Explanation:

To find the probability that a student takes theatre given that the student is taking choir, we use the definition of conditional probability. In this scenario, the probability of a student taking theatre and choir (joint probability) is given as 0.078, and the probability of a student taking choir (marginal probability) is 0.26.

The formula for conditional probability is:

P(A | B) = P(A and B) / P(B)

Let A represent the event of a student taking theatre, and B represent the event of a student taking choir. Substituting the given values into the formula yields:

P(A | B) = 0.078 / 0.26

Performing the division gives us:

P(A | B) = 0.3

Therefore, the probability that a student takes theatre given that the student is taking choir is 0.3, or 30%.

Answer:

Option C. 44 degree

Step-by-step explanation:

Let

A-----> the angle of the elevation of the sun

we know that

The tangent of angle A is equal to divide the opposite side angle A by the adjacent side angle A

In this problem

The opposite side is 30 meters

The adjacent side is 31 meters

[tex]tan(A)=\frac{30}{31}[/tex]

[tex]A=arctan(\frac{30}{31})=44\°[/tex]

Answer:

[tex]\boxed{5x^{11}, x < 0}[/tex]

Step-by-step explanation:

[tex]5\sqrt{x^{22}}[/tex]

Remember that we evaluate the term under the radical first.

Even though x < 0, x²² > 0

So,

[tex] 5\sqrt{x^{22}} = 5x^{11}[/tex]

The simplified expression is

[tex]\boxed{5x^{11}, x < 0}[/tex]

Answer:

  x = √5

Step-by-step explanation:

The Pythagorean theorem tells you the square of the diagonal is the sum of the squares of the two sides:

  (√7)² = (√2)² + x²

  7 = 2 + x² . . . . . . simplify

  5 = x² . . . . . . . . . subtract 2

  √5 = x . . . . . . . . . take the square root

26 different outcomes include at least two heads.

There are [tex]26[/tex] different outcomes that include at least two heads when a coin is tossed [tex]5[/tex] times.

The total number of outcomes when a coin is tossed [tex]5[/tex] times is [tex]\(2^5 = 32\)[/tex], since each toss has [tex]2[/tex] possible outcomes (heads or tails).

To find the number of outcomes with at least two heads, we can find the total number of outcomes with exactly one head and no heads, and subtract that from the total number of outcomes.

1. Number of outcomes with no heads: There is only [tex]1[/tex] outcome with no heads ([tex]5[/tex] tails).

2. Number of outcomes with exactly one head: This can be calculated using combinations. There are [tex]5[/tex] ways to choose which toss will be heads, and for each of these, the remaining [tex]4[/tex] tosses must be tails. So, there are [tex]\(5 \times 1 = 5\)[/tex]outcomes with exactly one head.

Therefore, the number of outcomes with at least two heads is:

[tex]\[ 32 - 1 - 5 = 26 \][/tex]

Answer:

(a)

Step-by-step explanation:

The line y = x + 1 has a solid circle at x = 2 indicating that x is valid for this value, thus

y = x + 1 for x ≤ 2

The line y = x + 2 has an open circle at x = 2 indicating that x = 2 is not part of the solution but that values greater than 2 are valid, that is

y = x + 2 for x > 2

The definition for the function is (a)

Answer:

20, 26, 35, 18

Step-by-step explanation:

So starting at row 129, we look at the sequence two-digits at a time without overlapping.  If that number is between 01 and 43, then they get selected.

The first two digits are 20.  That fits between 01 and 43, so that member gets selected.

Next, we have 26.  That also fits.

After that we have 64.  Nope, too high.

98 and 44 are also too high.

35 fits though.  So does 18.

So the members that get selected are 20, 26, 35, 18.

[tex]C=2\pi r =2\pi10=20\pi\approx\boxed{62.8}[/tex]

The answer is D.

The circumference of a circle with a radius of 10 inches is approximately 62.8 inches, calculated using the formula C = 2πr, resulting in the answer choice D. 62.8.

To calculate the circumference of a circle when the radius is given, we use the formula C = 2πr. Given that the radius (r) of the circle is 10 inches, we can calculate the diameter (d) as 2×10 inches, which equals 20 inches. Now, we multiply the diameter by π (approximately 3.1416) to find the circumference:

C = πd = 3.1416 × 20 inches = 62.832 inches.

Based on standard rounding rules, this is approximately 62.8 inches. Thus, the correct answer is D. 62.8 square inches.

Answer:

y = 4

That's a straight line.

The slope is 0.

There is no x-intercept.

The y-intercept is 4.

I'm only a few Brainliests away from ranking up, so one would be much appreciated. Thank you, and good luck!

Answer:

the slope is 0

the x intercept is 0

the y intercept is 4

Answer:

[tex]A=\$164,944.20[/tex]

Step-by-step explanation:

we know that

[tex]A=V(1+r)^{Y}[/tex]

In this problem we have

[tex]r=5\%=0.05[/tex]

[tex]V=\$135,700[/tex]

[tex]Y=4\ years[/tex]

substitute in the formula and solve for A

[tex]A=\$135,700(1+0.05)^{4}=\$164,944.20[/tex]

Answer:

B. 60

Step-by-step explanation:

The opposite sides of a parallelogram are parallel and congruent.

This implies that:

|UV|=|XW|

From the diagram; |UV|=15

and [tex]|XW|=\frac{1}{4}y[/tex]

We equate the two side lengths to get:

[tex]15=\frac{1}{4}y[/tex]

We multiply both sides by 4 to obtain:

[tex]4\times 15=4\times \frac{1}{4}y[/tex]

This implies that:

y=60

Answer:

B!

Step-by-step explanation:

Answer:

Step-by-step explanation:

This may look daunting, but let us approach it step by step.

multiply 1/10 by x - 3

0.1x - 0.3 = -40

In algebra, the goal is always to undo all the operations and get back to the original problem so that the mystery value can be determined. In this case since 0.3 was removed, we must add it back.

0.1x = -39.7

0.1x/0.1 = x

39.7/0.1 = -397

Answer seems to be B. -397, but we should still check it.

0.1(-397) - 0.3 = -40

-39.7 - 0.3 = -40

-40 = -40 Correct

If the answer was incorrect, this would show that there had been a flaw in our calculations. But everything checks out, so we are done!

Our final answer is B. -397.

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Answer:

The answer is -397

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

If we set up our equation using the unknown number of hot dogs and corn dogs with their individual prices attached to them, we can set the sum of them equal to $201.  We know that a hot dog costs $3, so we can represent hot dogs monetarily by attaching the cost of a single hot dog to the h.  For example, if a hot dog costs $3, and we represent the expression as 3h, with h being the number of hot dogs sold, if we sell 4 hot dogs at $3 apiece, we make $12.  If we sell 6 hot dogs we will make $18.  The same goes for the corn dogs.  We don't know how many corn dogs or hot dogs we sold, but we do know that the sales of both made $201.  So our expression for that is

3h + 1.50c = 201

That's great, but we have too many unknowns, and that's a problem.  So let's look back up to where we are told that the number of hot dogs is 3 less than 2 times the number of corn dogs.  "3 less than" is -3 algebraically.  "Twice the number" is 2times  and the words "is" and "was" represent the = sign.  So putting those words into an algebraic equation looks like this:

h = 2c - 3

That says "the number of hot dogs was twice the number of corn dogs less 3".  Now that we have an expression for hot dogs we can sub it into our money equation in place of h:

3h + 1.5c = 201 becomes 3(2c - 3) + 1.5c = 201

Now we have an equation with only c's in it.  

Distribute through the parenthesis to get

6c - 9 + 1.5c = 201

Simplify to 7.5c = 210

Now divide by 7.5 to get that c = 28.

Now that we know that, we go back with that number and sub it in for c in

h = 2c - 3 -->  h = 2(28) - 3 gives us that the number of hot dogs sold was 53

The total number of corn dogs sold is 28 corn dogs and number of hotdogs is 53

let

h = number of hotdogs

c = number of corndogs.

cost of hotdog = $3

corn dog = $1.50

The equation:

3h + 1.50c = 201 (1)

h = 2c - 3 (2)

substitute (2) into (1)

3(2c - 3) + 1.50c = 201

6c - 9 + 1.50c = 201

7.50c - 9 = 201

7.50c = 201 + 9

7.50c = 210

c = 210/7.50

c = 28

Therefore,

h = 2c - 3

= 2(28) - 3

= 56 - 3

= 53

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Answer: The volume is about 226 feet squared

Step-by-step explanation:

What we have here is called INTERSECTING CHORDS IN A CIRCLE.

The equation is:

10 times x = 7 times 7

10x = 49

x = 49/10

x = 4.9

answer 4.9cm

10times x=7times7(multiple it)

10x=49

x=49/10

x=4.9

Answer:

x = 8.3

Step-by-step explanation:

Given a tangent and 2 secants drawn to the circle from an external point then

The square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant.

Using the secant with measure 4 + x, then

4(4 +x) = 7²

16 + 4x = 49 ( subtract 16 from both sides )

4x = 33 ( divide both sides by 4 )

x = 33 ÷ 4 = 8.25 ≈ 8.3 ( nearest tenth )

Answer:

The balance of Dianne's register should be $359.41

Step-by-step explanation:

We can begin at the ending balance on the bank statement at $578.30

Then a check is written for $219.25, so a debit

Next a deposit is made for $140.36, so a credit

Then a withdrawal is made for $140.00, so a debit

This means we can make the equation

[tex]578.30-219.25+140.36-140.00=359.41[/tex]

Answer:

The measure of angle y is [tex]m\angle y=54\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises.

[tex]m\angle y=\frac{1}{2}(108\°)=54\°[/tex]

Answer:

-11, 11

Step-by-step explanation:

You have to find when the function crosses the x-axis. You could find this using algebra by solving for x in the equation but I prefer to simply graph it using something like desmos and see when it crosses the x-axis. Doing that I can see the answers would be -11 and 11

Answer:

x = -11,11

Step-by-step explanation:

G(x)=4x^2-484

To find the zero's, set the function equal to zero

0 = 4x^2 - 484

Add 484 to each side

484 = 4x^2 -484+484

484 = 4x^2

Divide each side by 4

484/4 = 4x^2/4

121 = x^2

Take the square root of each side

sqrt(121) = sqrt(x^2)

±11 =x

x = -11,11

The answere is 213 boxes

If you add 3 dozens to 14 dozens of boxes of envilopes , then you get 17 dozens of boxes of envilopes.Then of you sum up the 1/2 (2/4 ) with the 1/4.You get 3/4. Finally, you add 17 dozens to 3/4 of a dozen you get 17 3/4 dozens( wich is 213 boxes )