Write 42 900 000 in standard form

Answer:

Because the graph has the parabol shape, so the equation of it has the function:

y = ax² + bx + c

Because the parabol has a peak at point (0; 9)

=> 9 = a.0² + b.0 + c

=> c = 9

=> The parabol has a function:

y = ax² + bx + 9

Because the parabol goes through point (3; 0)

=> 0 = a.3² + b.3 + 9

=> 9a + 3b = - 9 (1)

Because the parabol goes through point (-3; 0)

=> 0 = a.(- 3)² + b.(- 3) + 9

=> 9a - 3b = - 9 (2)

Plus (1) and (2):

=> 18.a = - 18

=> a = - 1

Substitute the result on (1)

=> b = 0

=> The function of the parabol: y = - x² + 9

=> a = - 1

=> Choose A. - 1

Answer:i do hope this helps 1 should be f(x)=0 0=sqrt-2+2

2 should be f(x)=343.0029154 343.0029154=sqrt7^6+2

3 should be f(x)=6 6=sqrt34+2

4 should be f(x)=10 10=sqrt98+2

and im sorry if im wrong

Mary will bake 15 trays.

Firstly converting the amount of flour into grams that Mary has.

As per the known facts 1 kilogram = 1000 grams.

So, amount of flour in grams  = 3 × 1000

Performing multiplication to calculate amount of flour

Amount of flour in grams = 3000 grams.

Now, 200 grams flour is required by number of trays = 1

So, 3000 grams flour will be required by number of trays = (1÷200)×3000

Performing multiplication and division to find the number of trays that can be baked

Number of trays = 15

Hence, Mary can bake 15 trays of muffins with 3 kilograms of flour.

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Answer: The three consecutive numbers that make up -30 are -9, -10, and -11, -9 + -10 + -11 = -30. The smallest of the three consecutive numbers is -11.

Step-by-step explanation:

The number of unique trapezoids that can be drawn with base angles and side measures is 1

The given parameters are

Base angle = 60 degrees

Side lengths = 4 cm, 4 cm, 8 cm, and 12 cm

From the question, we understand that the given angle is the base angle

Since the base angles are equal, then the trapezoids is an isosceles trapezoid

This also means that the nonparallel sides are equal i.e. 4cm each

While the parallel sides are not i.e. 8cm and 12 cm

Hence, the number of unique trapezoids that can be drawn with base angles and side measures is 1

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Answer:

[tex]\textsf{Factored form}: \quad (a^2+4)(a-2)[/tex]

[tex]\textsf{Standard form}: \quad a^3-2a^2+4a-8[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{a^4-16}{a+2}[/tex]

Rewrite the exponent 4 as 2·2 and 16 as 4²:

[tex]\implies \dfrac{a^{2 \cdot 2}-4^2}{a+2}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c[/tex]

[tex]\implies \dfrac{\left(a^2\right)^2-4^2}{a+2}[/tex]

[tex]\textsf{Apply the Difference of Two Squares Formula} \quad x^2-y^2=\left(x+y\right)\left(x-y\right):[/tex]

[tex]\implies \dfrac{(a^2+4)(a^2-4)}{a+2}[/tex]

Rewrite 4 in the second parentheses of the numerator as 2²:

[tex]\implies \dfrac{(a^2+4)(a^2-2^2)}{a+2}[/tex]

Apply the Difference of Two Squares Formula to (a² - 2²):

[tex]\implies \dfrac{(a^2+4)(a+2)(a-2)}{a+2}[/tex]

Cancel the common factor (a + 2):

[tex]\implies (a^2+4)(a-2)[/tex]

Expand:

[tex]\implies a^2(a-2)+4(a-2)[/tex]

[tex]\implies a^3-2a^2+4a-8[/tex]

Explanation:

531/16=(10+10+10+3) + 3

Didisor =16

Dividend=531

Quotient= 10+10+10+3

=33

Remainder=3

531-3=33*16

528=33*16

528/16=33

33=33

The bacterial cell is 7 x 10¹ times smaller than the amoeba cell.

Here,

The length of a bacterial cell is about 5 x 10⁻⁶ m.

The length of an amoeba cell is about 3.5 x 10⁻⁴ m.

We have to find the how many times the bacterial cell is smaller than the amoeba cell.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Now,

The length of a bacterial cell is = 5 x 10⁻⁶ m.

The length of an amoeba cell is = 3.5 x 10⁻⁴ m.

Hence, The size of cell is calculated as =  3.5 x 10⁻⁴ ÷ 5 x 10⁻⁶

                                                            = 0.7 x 10²

                                                            = 7 x 10¹

Therefore, The bacterial cell is 7 x 10¹ times smaller than the amoeba cell.

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Answer:

7 x 10^1 (i got it right on the exam)

Answer:

d is the correct answer to your question

Answer:

3√3

Step-by-step explanation:

√3 +√12

we can write 12 as 3 X 4

√3 + √(3+4)

√3 + √3 √4

√4 = 2

√3 + 2√3

= 3√3

The required coordinate of point p is (4,6) of line segment PS.

Given that

M(5, 7) is the midpoint of PS The coordinates of S are (6, 9).
To determine the coordinates of p.

Here,
Let the coordinate of P be (h, k)
Now, the coordinates of the midpoint is given by,
x = [x₁ + x₂] / 2                           ;     y = [y₁ + y₂] / 2
now, putting x = 5, x₁ = 6, x₂ = h;     y = 7, y₁ = 9 y₂ = k
5 = 6 + h / 2                              ;     7 = 9 + k / 2
10 - 6 = h                                  ;     14 - 9 = k    
h = 4                                         ;      k  = 5

Thus, the required coordinate of point p is (4,6).

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(f + g) is { (2,6) ,(6,11) ,(9,14),(12,17) } and (f - g) is  { (-2,-4) ,(-2,-3) ,(-1,-2),(0,-1)}.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

Given the functions f and g

f  = {(0, 1), (2, 4), (4, 6), (6, 8)}

g = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}

Now,

f + g is nothing but the sum of x and y corresponding

For example (0,1) + (2,5) = (2 ,6)

Similarly  (0,1) - (2,5) = (-2,-4)

So,

(f + g) = { (2,6) ,(6,11) ,(9,14),(12,17) }

(f - g) = { (-2,-4) ,(-2,-3) ,(-1,-2),(0,-1)}

Hence "(f + g) is { (2,6) ,(6,11) ,(9,14),(12,17) } and (f - g) is  { (-2,-4) ,(-2,-3) ,(-1,-2),(0,-1)}".

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The value of x will be equal to 0 and y will be equal to 1.

It is given that there are two equations.

We have to solve both equations to get the value of x and y.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.

As per the question ;

The two equations are

2x + 5y = 5 --- -- - - - ------ ---- --- --- ---- Equation 1

4x + 3y = 3 --- ----- ------ ----- ----- ----- -- Equation 2

Let's solve these equations to get value of x and y ;

So ;

Multiplying equation 1  , by 2 we get ;

4x + 10y = 10 --- ----- ------ ----- ----- ----- -- Equation 3

Subtract it with equation 2 ;

i.e., Equation 3 - Equation 2

(4x + 10y) - (4x + 3y) = 10 - 3

7y = 7

y = 1

And value of x will be ;

2x + 5 × 1 = 5

2x = 5 - 5

2x = 0

or

x = 0

Thus , the value of x will be equal to 0 and y will be equal to 1.

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Bristol's next minimum monthly payment is $171.97

How was the minimum monthly payment of $146.52 computed?

The minimum monthly payment of $146.52 was computed from the current statement balance as 3.5% of $4,186.19

minimum monthly payment=$4,186.19*3.5%

minimum monthly payment=$146.52

The balance at the beginning next month is current statement balance minus the minimum monthly payment plus purchases of $750.00 and the interest for the month

beginning balance next month before interest=($4,186.19-$146.52)+ $750.00

beginning balance next month before interest=$4,789.67

beginning balance next month after interest=$4,789.67*(1+30.99%/12)

beginning balance next month after interest=$4,913.36

Bristol's next minimum monthly payment=3.5%*$4,913.36

Bristol's next minimum monthly payment=$ 171.97

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Reflection over the y-axis: (x,y)→(−x,y)

Reflection over the x-axis: (x,y)→(x,−y)

When making a reflection of a triangle and describing it you would need to provide the following two details. First, over which axis the triangle is being reflected over. Secondly, the exact location of each reflected point of the triangle. Doing so would describe how the triangle is being reflected and which point is ending up in which location. Thus, letting the viewer/reader know exactly what is being done to the triangle

Triangle reflection is the figure obtained when a triangle is flipped on a coordinate system based on a line of reflection.

Reflection over the y-axis: (x,y)→(−x,y)

Reflection over the x-axis: (x,y)→(x,−y)

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The ratio of the volume of the rigth circular cylinder a to the volume of the right circular cylinder b is 1: 18.

According to the given question.

We have two right circular cylinder, a nd b.

Also,

The radius of right circular cylinder, a is r.

The height of the right circular cylinder, a is h.

The radius of the right circular cylinder, b is 3r.

And the height of the right circular cylinder, b is 2h.

As we know that, the volume of a cylinder can be calculated using the formula V=πr^2(h). Where r is the radius and h is the height of the cylinder.

So, the volume of the right circular cylinder a  = πr^2h

And, the volume of the right circular cylinder b = π(3r)^2(2h) = 18hr^2π

Therefore,

The ratio of the volume of the rigth circular cylinder a to the volume of the right circular cylinder b

= πr^2h/18hr^2π

= 1:18

Hence, the ratio of the volume of the rigth circular cylinder a to the volume of the right circular cylinder b is 1: 18.

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Step-by-step explanation:

1.092*101 is the same as 1.092*100 ( or 109.2)+1.092, which equals 110.292.

7*10 is 70-1 is 69. from here, we can just estimate it since 69*2 is 138. Once you do it, you can find that it is roughly 1.59.

I hope this helped. I didn't know what you meant by the numbers under it.

Answer:

the answer is 15.6

Step-by-step explanation:

Answer:

pls rate as brainliest it will really go a long way

To change the order of operations in a formula, use parentheses around the part of the formula you want to calculate first.

Parentheses allow you to group elements in a cell.  This allows you to create more complex and more powerful formulas.

Consider the expression 6+4*2.

The above formula gives result as 14 because Excel performs multiplication before addition. The formula multiplies 4 by 2 and then adds 6 to the result.

Now consider the expression (6+4)*2.

If you use parentheses to change the syntax, Excel adds 6 and 4 together and then multiplies the result by 2 to produce 20.

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To change the order of operations in a formula, use parentheses around the part of the formula you want to calculate first.

Parentheses allow you to group elements in a cell.  This allows you to create more complex and more powerful formulas.

Consider the expression 6+4*2.

The above formula gives result as 14 because Excel performs multiplication before addition. The formula multiplies 4 by 2 and then adds 6 to the result.

Now consider the expression (6+4)*2.

If you use parentheses to change the syntax, Excel adds 6 and 4 together and then multiplies the result by 2 to produce 20.

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Answer:

5

Step-by-step explanation:

42-(3c+4)=2(c+4)+c

42-3c-4=2c+8+c

42-4-3c=3c+8

38-3c=3c+8

38-3c-3c=8

38-6c=8

6c=38-8

6c=30

c=30/6

c=5

ANSWER:

d

ANSWER EXPLANATION: Think of the equation as an equation for a line

y=mx+b

where in this case

C=59(F−32)

or

C=59F−59(32)

You can see the slope of the graph is 59, which means that for an increase of 1 degree Fahrenheit, the increase is 59 of 1 degree Celsius.

C=59(F)

C=59(1)=59

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 95 degrees Fahrenheit.

C=59(F)

1=59(F)

(F)=95

Since 95 = 1.8, statement II is true.

The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 59 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:

C=59(F)

C=59(59)

C=2581(whichis≠1)

An increase of 59 degree Fahrenheit leads to an increase of 2581, not 1 degree, Celsius, and so Statement III is not true.

The final answer is D.

Answer:

D) i and ii

Step-by-step explanation:

from given equation, we can simplify =
1.8 C = F-32 .....................i
F = 1.8 C +32 ....................ii




now,  from (i)
1.8 (C+1 ) = 1.8 C + 1.8 = (F +1.8) -3.2
so increasing 1 C  equivalent to 1.8 F ........... iii

from iii,
increasing (1/1.8) C or (5/9) C equivalent to (1.8/1.8) F or 1 F


increasing (5/9)/ (5/9) or (25/81) C equivalent to 5/9 degree F
(so given iii become false)


only i and ii is true = D

The scale factor of Alana's drawing is 3: 72.

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

Dimension in real = 6 feet

Since,

1 feet = 12 inches

6 feet = 72 inches

Dimension in drawing = 3 inches.

Scale factor = Dimension in drawing / Dimension in real

Scale factor = 3/72

Hence "The scale factor of Alana's drawing is 3: 72".

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Answer:

12+1=x    x=13

Step-by-step explanation:

12 is the hours at the doctor's office.1 is the hour driving. and x is the total time

The actual dimensions of Abigail's house are 20ft, 14ft, 18ft, 16ft, 18ft.

For 6 cm in drawing his house is 12 ft on scale which is twice the drawing

This means the scale factor is 2

Therefore,

10cm = 2 × 10 = 20ft

7cm = 2 × 7 = 14ft

9cm = 2 × 9 = 18ft

8cm = 2 × 8 = 16ft

9cm = 2 × 9 = 18ft

The scale factor is the quantity that is multiplied by an object's scale to produce a separate object that has the same appearance but is a different size—either scaled up or scaled down.

To increase an object by a scale factor, measure all of its sides and multiply the result by the scale factor.

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The possible number of negative real zeros in the polynomial function is 9

The zeros of a polynomial function are the x-intercepts of the function i.e. the points where the graph of the polynomial function cross the x-axis

The given parameters are

The polynomial function, f(x)

f(−x) has 9 variations in sign

The number of variation in sign represents the possible number of negative real zeros

Recall that

The x-intercept (or the zeros) of the function is the point or points where the graph of the function crosses the x-axis i.e. the point where the function equals 0

This means that

Number of negative real zeros = variation in sign

So, we have

number of negative real zeros = 9

Hence, the possible number of negative real zeros in the polynomial function is 9

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Greetings from Brasil...

The number thought will be X, so

6.(X - 7/3) = 2 - 2X

Answer:

The absolute value of 5 is the distance of 5 from the 0. So you go 1, 2, 3, 4, 5. 5 is exactly 5 to the right of 0. So the absolute value of 5 is just 5.

Step-by-step explanation: