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Answer:

D.77

Step-by-step explanation:

Since the mean is the average first you

Add up all the values

74+75+80+76+75+81+78 = 539

Divide the product by the number of values

539÷7=77

Step-by-step explanation:

Firstly, complete the square to put the equation in vertex form,

y

=

−

(

x

+

3

)

2

+

1

This implies that the vertex, or local maximum (since this is a negative quadratic) is

(

−

3

,

1

)

. This can be plotted.

The quadratic can also be factorised,

y

=

−

(

x

+

2

)

(

x

+

4

)

which tells us that the quadratic has roots of -2 and -4, and crosses the

x

a

ξ

s

at these points.

Finally, we observe that if we plug

x

=

0

into the original equation,

y

=

−

8

, so this is the

y

intercept.

All of this gives us enough information to sketch the curve:

graph{-x^2-6x-8 [-10, 10, -5, 5]}

Step-by-step explanation:

∠4 = ∠1 & ∠2 = ∠3

360 - 2(98) = ∠2 + ∠3

∠3 = 164/2

∠3 = 82°

[tex]\huge\bold{Given :}[/tex]

Angle 4 = 98°

[tex]\huge\bold{To\:find :}[/tex]

The measure of angle 3.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {∠\:3\:=\:82° }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

➪ ∠ 3 + ∠ 4 = 180°

➪ ∠ 3 + 98° = 180°

➪ ∠ 3 = 180° - 98°

➪ ∠ 3 = 82°

Therefore, the measure of ∠ 3 is 82°.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

∠ 3+ ∠ 4 = 180°

✒ 82° + 98° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]

The measure of RS to the nearest hundredth is 23.09 m

From the given figure, we have the following parameters

Adjacent to <R = RS

hypotenuse = 20cm

Using the theorem;

cos theta = opp/hyp

cos<R = RS/20
cos 30 = RS/20
RS = 20/cos30

RS =23.094 m

Hence the measure of RS to the nearest hundredth is 23.09 m

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Answer:

3/25

Step-by-step explanation:

Simplify the fraction by using common factors of numerator and denominator. Now, 12% can be written as 12/100.

Answer:

9.54731702 astronomical units

Step-by-step explanation:

[tex]P=a^{\frac{3}{2} }[/tex]

Substitute this value in the equation above:

[tex]29.5=a^{\frac{3}{2} }[/tex]

⇒ [tex](29.5)^{\frac{3}{2} } =a[/tex]

⇒ [tex]a=9.54731702[/tex] [tex]astronomical[/tex] [tex]units[/tex]

Hence, its distance from the sun is 9.54731702 astronomical units.

Answer:

its a

Step-by-step explanation:

on edge 2022

Answer:

2nd option is the correct answer

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

These are the numbers in order from greatest to least.

0.24, 0.57, 3/5, and 0.87

Step-by-step explanation:

Hope this is helpful.

Answer:

x = 9

Step-by-step explanation:

5x + 27 = 45 + 3x

Subtract 3x from both sides

2x + 27 = 45

Subtract 27 from both sides

2x = 18

Divie both sides by 2

x = 9

Answer:

A, 16 to 20

Step-by-step explanation:

32 / 2 = 16

40 / 2 = 20

Answer:

a

Step-by-step explanation:

i just did it

Answer:

Uₙ = 22 - 3(n - 1)

Answer:

[tex]\lim_{x \to 3} g(x) = DNE[/tex]

Step-by-step explanation:

Observations:

Conclusion:

Answer:

A.

Step-by-step explanation:

Got it right

9514 1404 393

Answer:

Step-by-step explanation:

The net will be a rectangle representing the lateral area. Its length will be 2π(4 in), the circumference of the box, and its height will be 9 in, the height of the box. On either side of that rectangle will be an 8-in diameter circle representing the ends of the box.

The total surface area is given by the formula ...

  SA = 2πr(r +h)

For one box, the area is ...

  SA = 2(3.14)(4 in)(4 in +9 in) ≈ 326.6 in² . . . . area of one box

__

There are 144 square inches in a square foot, so the area required for 1500 boxes is ...

  (1500)(326.56 in²)/(144 in²/ft²) ≈ 3402 ft² . . . area of 1500 boxes

Answer:

D.144

Step-by-step explanation:

[tex]\frac{7}{x} = \frac{84}{156-x}[/tex]

⇔ 84x = -7x + 1092

⇔ 91x = 1092

⇔ x = 12

⇒ AC = 156 - x = 156 - 12 = 144

Answer:

Kim will need to spend 67 minutes on her sixth ride

Step-by-step explanation:

Represent the number of minutes of her sixth ride by m.

Then the average number of minutes is

53 + 43 + 56 + 54 + 45 + m

---------------------------------------- = 53

                      6

Multiplying both sides of this equation by 6 yields

6(53 + 43 + 56 + 54 + 45 + m)

--------------------------------------------- = 6(53)

                        6

which simplifies to

 251 + m

---------------- = 318

or  251 + m = 318.  Subtract 251 from both sides to obtain the value of m:

m  = 318 - 251 = 67

Kim will need to spend 67 minutes on her sixth ride to attain an average ride length of  53 minutes.i

Answer:

The answer is D. (x - 3) (x + 2)

Answer:

Hello! answer: angle n is. 51

Step-by-step explanation:

This is a complementary angle meaning it will add up to 90 degrees so...

3 × 8 = 24 24 + 15 = 39

2 × 8 = 16 16 + 35 = 51

39 + 51 = 90 therefore angle n is 51 hope that helps!

what are the answers, you didn't put a following

Answer:

How many hours do you spend at the pharmacy each month?

Step-by-step explanation:

GOt it right on test

Answer:

(a) 12.3 x 45 = 554

(b) 6.7/8.9 = 0.753

Answer:

B. 2x - 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x - 1

g(x) = x + 2

(f - g)(x) is f(x) - g(x)

Step 2: Find

Answer: C

Step-by-step explanation:

Simple they can't go into negative months so that can't be it. 35 months would put Mrs.Henryhard into the negatives and Mrs. Oliver into the 100 zone so it has too be C

every month (row) oliver you add 2

every month (row) for henry you take away 3

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Given a vector < x, y > then its magnitude is

[tex]\sqrt{x^2+y^2}[/tex]

Given the directed line segment

P (0, 0 ) → Q (3, 2 ) then

PQ = q - p = (3, 2 ) - (0, 0 ) = < 3 - 0, 2 - 0 > = < 3 , 2 >

| PQ | = [tex]\sqrt{3^2+2^2}[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]

Answer:

1. x = 15

2. x = 26

3. x = 7.6157731059 (you can round this answer to 8 or 7.6)

4. x = 11.7

5. x = 25

6. x = 1.4

7. x = 22.5

8. x = 38.4

9. x =  10.3    v = 5.8

For some of them, I had to use estimation.  

I used this formula : a^2 + b^2 = c^2

Answer:

Step-by-step explanation:

[tex]\frac{a -30y}{a^2 -100y^2} - \frac{10y}{10ay -a^2}[/tex]

                               [tex]=\frac{a-30y}{a^2 -(10y)^2} - \frac{10y}{-a(a -10y)}\\\\=\frac{a-30y}{(a -10y)(a+10y)} + \frac{10y}{a(a -10y)}\\\\=\frac{a(a-30y) +10y(a+10y)}{a(a -10y)(a+10y)} \\\\=\frac{a^2 - 30ay +10ay +100y^2}{a(a-10y)(a+10y)}\\\\=\frac{a^2 - 20ay +100y^2}{a(a-10y)(a+10y)}\\\\=\frac{(a-10y)^2}{a(a-10y)(a+10y)}\\\\=\frac{(a-10y)}{a(a+10y)}[/tex]

Answer:

Step 1. Read the problem. Make sure you understand all the words and ideas.

Step 2. Identify what you are looking for.

Step 3. Name what you are looking for.

Step 4. Translate into an equation. Restate the problem in one sentence. Then translate into an equation.

Step 5. Solve the equation using good algebra techniques.

Step 6. Check.

Step 7. Answer the question.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first term of the given sequence is a(1) = 64.  Each succeeding term is found by multiplying the present one by (-3/4), and so (-3/4) is the common ratio.  Then the geometric sequence represented here is

a(n) = a(1)*(-3/4)^(n - 1), or, specifically,

a(n) = 64*(-3/4)^(n - 1)

Alternatively:  a(n) = a(n - 1)*(-3/4). or a(n) = (-3/4)a(n - 1)

The sequence can be described by the formula f(x + 1) = 3/4f(x). According to this formula, each phrase in the sequence is 3/4 times the one before it. Therefore, the correct option is A.

A list of numbers or objects that follow a certain pattern or rule is referred to in mathematics as a sequence. Unless otherwise stated, a sequence consists of an infinite number of terms, which are the individual items that make up the sequence.

Many mathematical disciplines, such as calculus, number theory, and statistics, make use of sequences. Mathematical, geometric and Fibonacci sequences are some examples of sequences. The sequence can be described by the formula f(x + 1) = 3/4f(x). According to this formula, each phrase in the sequence is 3/4 times the one before it.

Therefore, the correct option is A.

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Answer: 297 and 353

Step-by-step explanation:

Given

A store ordered 650 candles at a total cost of $6,789.30

The soy candles cost $12.02 each and the specialty candles cost $9.12

Suppose there x soy candles and y specialty candles

[tex]\therefore x+y=650\quad \ldost(i)\\12.02x+9.12y=6789.30\quad \ldots(ii)\\\text{Solve (i) and (ii)}[/tex]

[tex]x=297,y=353[/tex]

Store ordered 297 soy candles and 353 specialty candles.

Answer:

D

Step-by-step explanation:

2x(x^4 + 6x^2 - 27)

x^4 + 6x^2 - 27 = 0

x^2 = y

y^2+ 6y - 27 = 0

(y+9)(y-3) = 0

(x^2+9)(x^2-3) = 0

2x(x^2-3)(x^2+9)

Answer:

The answer is B

Answer:

W 2,3

X 5,3

Y 1,2

Z  8,4

Step-by-step explanation:

The coordinates of the Rhombus after the dilation is W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.

Given data ,

Let the coordinates of the rhombus be represented as WXYZ

where W' ( 1 , 0 ) , X ( 4 , -1 ) , Y ( 5 , -4 ) and Z ( 2 , -3 )

Now , the dilation scale factor is k = 3 centered at origin

So , result of this transformation is an image with the same shape as the original

The coordinates of the dilated figure is W'X'Y'Z'

where W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )

Hence , the dilation is solved

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