Please answer BOTH the questions tyyyyyysm

H(x) = 4(x - 7)^2 - 19

Hope you find it usefull

The equation is:

(x-5)^2+(y-(-7))^2=36

I hope it helps!

Answer:  [tex]\boldsymbol{(x - 5)^2 + (y + 7)^2 = 36}[/tex]

=========================================

Work Shown:

[tex](h,k) = (5,-7) = \text{center}\\\\r = 6 = \text{radius}\\\\(x - h)^2 + (y - k)^2 = r^2\\\\(x - 5)^2 + (y - (-7))^2 = 6^2\\\\\boldsymbol{(x - 5)^2 + (y + 7)^2 = 36}\\\\[/tex]

Answer: 20/63

Step-by-step explanation:

Multiplying these probabilities, we get (16/28)(15/27) = 20/63

Answer:

120

Step-by-step explanation:

3(x+4)(x+1)

3((4)+4) ((4)+1)

(12 + 12)(4+1)

(24)(5)

120

If you need the other function, here:

(4+2)(4-2)

6(2)

12

Answer:

below

Step-by-step explanation:

3×x=12

3×4=12

3(x+4)=12+12+12+3=39

Answer:

300 cupcakes

Step-by-step explanation:

[tex]27 = .09c[/tex]

[tex]c = \frac{27}{.09} = \frac{2700}{9} = 300[/tex]

In total, the bakery sold 300 cupcakes on a certain day.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A bakery sold 27 mocha cupcakes in a day, which was 9% of the total number of cupcakes sold that day.

let, 'x' be the total number of cupcakes sold that day.

Therefore, 9% of 'x' is 27 which is,

(9/100)×x = 27.

0.09x = 27.

x = 27/0.09.

x = 300.

So, The number of cupcakes sold that day is 300.

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Answer:

C. Focus

.............

The cost per unit for each product is given as:
x ≈ 0.0067; and

y ≈ 0.0041. See explanation below.

Given that the current production:

Current cost of production is given as:

Current Total Cost = 150y + 245x where;

if doubling the batch sizes will reduce the cost per unit by 50% then the new cost equation will be:

Thus, New Total Cost of production = (150 x 2) (y/2) + (245 x 2) (x/2)

= (300)(y/2) + (490) (x/2)

Since we are looking for the cost per unit of each product:

f(x) = 300 * (x/2)..........Unit cost of Model Gold

If we make x subject of the formula, then we arrive at:
1/300 = x/2
x = (1/300) * 2

x = 0.00666666666

x ≈ 0.0067

f(x) = 490* (x/2)

If we make y subject of the formula, then we arrive at:

i/490 = y/2

y = (1/490) * 2

y = 0.00408163265306122448979591836735

y ≈ 0.0041

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The maximum number of turkey sandwiches Ben sold is 6.

Given this equation : 2.50x + 3.50y ≤ $30

If y is 4, take the following steps in order to determine the value of x:

Substitute for y in the above equation:

2.50x + (3.50 x 4) ≤ $30

2.50x + 14 ≤ $30

2.50x ≤ $30 - 14

2.50x ≤ $16

x ≤ 6.4

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Answer:

6

Step-by-step explanation:

Answer: (1,4) and (1,3) because the have the same x-value

Step-by-step explanation:

A function is defined so that for each input (known as the domain), there is no more than one output (known as the range).

Answer:

The coefficient of variation (CV)= 9.83

Step-by-step explanation:

look at the attachment above ☝️

Answer:

1-irrational 2-rational 3-rational 4-rational 5-irrational

Step-by-step explanation:

The function that represents the Scooter Company's total profit is given by:

P(x) = -2x² + 250x - 2,000.

The profit function is calculated by the revenue function subtracted by the cost function, hence:

P(x) = R(x) - C(x).

In this problem, we have that:

Hence the profit function is:

P(x) = R(x) - C(x).

P(x) = 400x - 2x² - (150x + 2000).

P(x) = -2x² + 250x - 2,000.

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Answer:

1: 8 ft

2: 10 cm

3: c is approximately 127.2 or exactly equal to 90 * sqrt(2)

4: sqrt(133)

Step-by-step explanation:

(1) Kevin tries to climb a wall with a ladder. The length of a ladder is 17 feet and it reaches only 15 feet up the wall. What is the distance between the base of the ladder and the wall? :

Here you can use the Pythagorean Theorem to find the length of the base.

the equation is a^2 + b^2 = c^2 where c is the hypotenuse. In this case 17 is the hypotenuse which is c, 15 is a or b it doesn't really matter where you put it.

a^2 + (15)^2 = 17^2

a^2 + 225= 289

a^2 = 64

a = 8

(2) In a right triangle, if the length of one leg is 8 cm and the length of the other leg is 5 cm, what is the length of the hypotenuse? :

The same formula can be used except you don't have to move anything around.

8^2 + 6^2 = c^2

64 + 36 = c^2

100 = c^2

10 = c

10 cm

A baseball field is a square with sides of length 90 feet. What is the shortest distance between the first base and the third base?:  

So if you look at the image provided, the shortest distance is just a straight line, but more specifically that straight line forms two triangles with the same lengths, That line is the hypotenuse so you can use the same equation as the previous equations

90^2 + 90^2 = c^2

16,200 = c^2

c is approximately 127.2 or exactly equal to 90 * sqrt(2)

(4) How far up a wall will a 13-meter ladder reach, if the foot of the ladder is 6 meters away from the base of the wall?:

6^2 + b^2 = 13^2

36 + b^2 = 169

b^2 = 133

b = sqrt(133)

The next step in the series is choice D.

Answer:

D

Step-by-step explanation:

if we define the diagrams in terms of their rows and columns, then

1st : 2 by 1

2nd : 3 by 2

3rd : 4 by 3

note that the rows and columns both increase by 1

then the next likely diagram is

5 by 4 , that is diagram D

Answer:

Wht is the total matches they played?

The number of cars that have passed through the intersection after 7 wrecks is 1/5 cars

w = k × c

31 = k × 1,085

31 = 1,085k

k = 1085/31

k = 35

If w = 7

w = k × c

7 = 35 × c

7 = 35c

c = 7/35

c = 1/5 car

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Answer:

[tex]24m + 32[/tex]

Step-by-step explanation:

[tex]8(3m + 4) = 24m + 32[/tex]

The normal distribution is also known as the Gaussian distribution. The percentage of all possible values of the variable that are less than 4 is 15.87%.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

A.) The percentage of all possible values of the variable that lie between 5 and 9.

P(5<X<9) = P(X<9) - P(5<X)

               = P(z<1.5) - P(-0.5<z)

               = 0.9332 - 0.3085

               = 0.6247

               = 62.47%

B.) The percentage of all possible values of the variable that exceed 1.

P(X>1) = 1 - P(X<-2.5)

          = 1-0.0062

          = 0.9938

          = 99.38%

C.) The percentage of all possible values of the variable that are less than 4.

P(X<4) = P(X <4)

           = P(z<-1)
           = 0.1587

           = 15.87%

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Answer:

[tex]\boxed{\sf x = \dfrac{1}{21}}[/tex]

Explanation:

[tex]\rightarrow \sf 3x+7-6= \dfrac{8}{7} - 0[/tex]

simplify the following

[tex]\rightarrow \sf 3x+1= \dfrac{8}{7}[/tex]

subtract 1 from both sides

[tex]\rightarrow \sf 3x+ 1 -1= \dfrac{8}{7} - 1[/tex]

simplify the following

[tex]\rightarrow \sf 3x= \dfrac{1}{7}[/tex]

multiply both sides by 1/3

[tex]\rightarrow \sf 3x \cdot \dfrac{1}{3}= \dfrac{1}{7}\cdot \dfrac{1}{3}[/tex]

simplify the following

[tex]\rightarrow \sf x = \dfrac{1}{21}[/tex]

[tex]3x + 7 - 6 = \frac{8}{7} - 0 \\ \\ 3x + 1 = \frac{8}{7} \\ \\ 3x = \frac{8}{7} - 1 \\ \\ 3x = \frac{ 8 - 7}{7} \\ \\ 3x = \frac{1}{7} \\ \\ x = \frac{1}{7 \times 3} \\ \\ x = \frac{1}{21} .[/tex]

The measure of the third angle in the ΔABC is 70 degrees

In ΔABC, m∠2 = 70 and m∠1 = 40, find the measure of all third angle of ΔABC.

The given parameters are:

m∠2 = 70

m∠1 = 40

The sum of angles in a triangle is:

m∠1 + m∠2 + m∠3 = 180

So, we have:

70 + 40 + m∠3 = 180

Subtract 110 from both sides

m∠3 = 70

Hence, the measure of the third angle in the ΔABC is 70 degrees

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Answer:

First option.

Step-by-step explanation:

Answer:

32. {-4, 1, 2, 12}

33. {2, 6, 9, 31, 65}

34. No

Step-by-step explanation:

32. The domain of a relation is the set that contains all the x-coordinates of all the ordered pairs of the relation.

domain = {-4, 1, 2, 12}

33. The range of a relation is the set that contains all the y-coordinates of all the ordered pairs of the relation.

range = {2, 6, 9, 31, 65}

34. No since the same number, 2, appears twice as an x-coordinate. In a function, no two ordered pairs can have the same x-coordinate.

Answer:

The answer is 3

Step-by-step explanation:

You can see that it recurs faster than usual for a tan curve so 1 is eliminated and it cant be 2 or 4 because it isnt recurring equally.

To prove that △DFE ~ △GFH by SAS similarity theorem, then option C. ∠DFE is congruent to ∠GFH is appropriate. So that: [tex]\dfrac{DF}{GF}[/tex] =[tex]\dfrac{EF}{HF}[/tex]  and ∠DFE is congruent to ∠GFH.The correct answer is option C.

The image of the triangle is attached with the answer below:-

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

Given ΔDEF as shown in the diagram attached to this answer, the following can be observed:

By comparing ΔDEF and ΔGFH

DF = DG + GF

    = 12 + 4

DF = 16

Also,

EF = EH + HF

   = 9 + 3

EF = 12

Comparing the sides of ΔDEF and ΔGFH, we have;

[tex]\dfrac{DF}{GF}[/tex] = [tex]\dfrac{EF}{HF}[/tex]  

[tex]\dfrac{16}{4}=\dfrac{12}{3}[/tex]

4 = 4

Thus, the two triangles have similar sides.

Comparing the included angle <DFE and <GFH, then;

∠DFE is congruent to ∠GFH

Therefore, to prove that △DFE ~ △GFH by the SAS similarity theorem;

[tex]\dfrac{DF}{GF}[/tex] =[tex]\dfrac{EF}{HF}[/tex]    and ∠DFE is congruent to ∠GFH.

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Answer:

C

Step-by-step explanation:

Edg

Solution:

[tex]\searrow[/tex]

Detailed explanation:

Here we need to find both the circumference and the area of a circle whose diameter is 30 in.

///\\\///\\\///\\\///\\\///\\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\\////\\\\////\\\\///\\\///\\\///\\\///

                                   ⚜  Circumference ⚜

This is the formula that we use for the circumference. [tex]\large\texttt{$C=\pi d$}[/tex].

Here, C is the circumference,

[tex]\pi[/tex] is pi, *

d is the diameter

_____________

* The number pi is an irrational number. This means that no matter how hard we try, we cannot write this number as a fraction. The reason for that is: The number pi has never-ending digits after its decimal point.

To avoid getting never-ending numbers, we will use 3.14 for pi.

_____________

Alright, so now we just stick in the values.

[tex]\boldsymbol{C=3.14\cdot30}[/tex]

[tex]\boldsymbol{C=94.2\:inches}[/tex]

The circumference is successfully calculated.

///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\////\\\\///\\\///\\\///\\\//\\//\/\/\/\//\///\\//

                                            ⚜ Area ⚜

This is the formula we will use to work out the area.

[tex]---\mapsto\boldsymbol{A=\pi r^2}[/tex]

Here,

A denotes the area

[tex]\pi[/tex] denotes pi

r denotes the radius (30/2=15, because the diameter is always two times the radius)

[tex]\large\boldsymbol{\therefore,\;the\;radius\;is\;15}[/tex]

Once again, it's just a matter of sticking in the values.

[tex]---\mapsto\boldsymbol{A=3.14\cdot15^2}[/tex]

Remember the Order of Operations!

P.E.M.D.A.S.

P=Parentheses

This operation tells us to evaluate all expressions in the parentheses first, if any are present.

E=Exponents

This one tells us to evaluate all expressions with exponents, if any are present.

M=Multiplication | D=Division

Unlike the two operations above, these two are completely interchangeable.

A=Addition | S=Subtraction

Like M and D, A and S are interchangeable.

_________________

Now let's simplify... According to P.E.M.D.A.S., we should square 15 first.

[tex]---\mapsto\boldsymbol{A=3.14\cdot225}[/tex]

Now, we need to multiply.

[tex]---\mapsto\boldsymbol{A=706.5\;square\;inches}[/tex]

The reason is using point slope formula.

The photo attached given below:

The equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line — compare slope-intercept form.

Now, we have to find the slope of AE, BF and CD.

We have to done this with help of coordinates.

So, we have to use point slope formula to find the slope of AE, BF and CD.

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The equation of the line is y = 3x +3 .

A straight line equation is that can be represented by y = mx +c , where m is the slope and c is the intercept on y axis.

The points given are (2,3) and (5,9)

m = (9-3)/(5-2) = 3

m = 3

Therefore the equation becomes

y = 3x +c

Te equation is given by

(y-y₁) = m(x-x₁)

y-3 = 3(x - 2)

y-3 = 3x -6

y = 3x +3

Therefore the equation of the line is y = 3x +3 .

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By solving through law of cosines the length s can be written as [tex]s^{2} =9^{2} +10^{2} -2*9*10cos(100)[/tex].

Given the length of US is 9, the length of ST is 10 and the length of UT is s and the angle UST is 100 degrees.

According to law of cosines a length can be written as [tex]c^{2} =a^{2} +b^{2} -2abcos g[/tex]

where c is the side opposite to the given angle and a and b are other sides , g is the angle given.

[tex]s^{2} =9^{2} +10^{2} -2*9*10cos(100)[/tex]

where s is the length of the side opposite to the angle given, the length of other sides are 9 and 10 where the angle is 100.

Hence the fourth option is correct which is s^{2} =9^{2} +10^{2} -2*9*10cos(100).

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Answer:

its D

Step-by-step explanation: ed 2023