Please help me on this question

Answer:

[tex]\boxed{a*b = 1.60 * 10^2}[/tex]

[tex]\boxed{a/b = 7.53 * 10^{-14}}[/tex]

[tex]\boxed{c/a = 1.59 * 10^{13}}[/tex]

Step-by-step explanation:

a = [tex]3.47 * 10^{-6}[/tex]

b = [tex]4.61 * 10^7[/tex]

c = [tex]5.52*10^7[/tex]

Finding a*b:

a*b =( [tex]3.47 * 10^{-6}[/tex] )*( [tex]4.61 * 10^7[/tex])

= (3.47*4.61) * ([tex]10^{-6}*10^7[/tex])

When bases are same, powers are to be added

= 15.997 * [tex]10^{-6+7}[/tex]

= 15.997 * [tex]10^1[/tex]

= 159.97

Rounding it off

=> 1.60 * 10²

Finding a/b:

=> [tex]\frac{3.47*10^{-6}}{4.61*10^7}[/tex]

Using rule of exponents [tex]a^m/a^n = a^{m-n}[/tex]

=> 0.753 * [tex]10^{-6-7}[/tex]

=> [tex]7.53*10^{-1}*10^{-13}[/tex]

=> [tex]7.53 * 10^{-1-13}[/tex]

=> 7.53 * 10⁻¹⁴

Finding c/a:

=> [tex]\frac{5.52 * 10^7}{3.47*10^{-6}}[/tex]

=> 1.59 * [tex]10^{7+6}[/tex]

=> 1.59 * 10¹³

Answer:

a × b = 1.60 × 10^2

a/b = 7.52 × 10^-14

c/a = 1.59 × 10^13

Step-by-step explanation:

a = 3.47 × 10^-6

b = 4.61 × 10^7

c = 5.52 × 10^7

Solve a × b

(3.47 × 10^-6) × (4.61 × 10^7)

When bases are same in multiplication, we add the exponents.

15.9967 × 10^1

Decimal point is after first non-zero digit. Round to hundredths.

1.60 × 10^2

Solve a/b

(3.47 × 10^-6)/(4.61 × 10^7)

When bases are same in division, subtract the exponents.

3.47/4.61 × 10^-14

0.75271149674 × 10^-14

Decimal point is after first non-zero digit. Round to hundredths.

7.52 × 10^-14

Solve c/a

(5.52 × 10^7)/(3.47 × 10^-6)

When bases are same in division, subtract the exponents.

5.52/3.47 × 10^13

1.59077809798 × 10^13

Round to hundredths.

1.59 × 10^13

Answer:

f(30) represents the total cost when the car is driven 30 miles

Step-by-step explanation:

f(30) is the y value when x= 30

Since x represents miles, f(30) is the y value of the function when you drive a car 30 miles, basically how much it will cost.

We solve this by plugging 30 in for x:

f(30)= 90 + 0.11(30)

f(30)= 90 + 3.3

f(30)= 93.3

Thus, renting a car for a day and driving it 30 miles costs $93.30

Answer:

  y = 4

Step-by-step explanation:

The line x=8 is a vertical line. The perpendicular line will be horizontal, with a slope of 0. In order for it to go through the given point, the y-intercept must match the y-value of the point. The equation is ...

  y = 0x +4 . . . . . slope-intercept form with slope explicitly shown as 0

This simplifies to ...

  y = 4

Answer:

[tex]x=19[/tex]

Step-by-step explanation:

First, note that Angle X and angle Y are angles formed when two parallel lines  are being cut by a transversal. This makes Angle X and Y consecutive interior angles. Consecutive interior angles are supplementary.

Therefore:

[tex](3x-5)+(90+2x)=180[/tex]

[tex]5x-5=90[/tex]

[tex]5x=95[/tex]

[tex]x=19[/tex]

Answer:

Option a) $ 82,531.59

Step-by-step explanation:

The Formula for Future value =

Present value (1 + r/n)^nt

From the question

Present value = $51,123.21

Interest rate (r) = 2 3/8 % = 2.375% = 0.02375

n = compounding frequency = compounded daily = using the traditional bankers rule of 30 days = 30 × 12 months = 360

T = Time duration in years = 20 years and 2 months = 20.1667

Future value = $ 51,123.21(1 + 0.02375/260)^20.1667 × 360

Future value = $ 82,531.59

Answer:

c) quadrant III

Step-by-step explanation:

I will be quick in this question:

[tex]\text {For }y<0 \Rightarrow \text{Quadrant III or Quadrant IV}[/tex]

[tex]\text {For }x<0 \Rightarrow \text{Quadrant II or Quadrant III}[/tex]

What both have in common?

So, the answer is Quadrant III.

Answer:

Quadrant III

Step-by-step explanation:

x < 0 is the area to the left of the y-axis, and y < 0 is the area beneath the x-axis.  This point is therefore located in Quadrant III.

Answer:

I think The answer is B

Step-by-step explanation:

The anne's friends studied hard and got high marks higher than john's friends

Answer:

A) True

B) False

C) True

D) True

Step-by-step explanation:

Answer:

Coordinate d

Step-by-step explanation:

Answer: d is larger

c = -2 and d = -1

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

Explanation:

We have c = -2 as this is the same as the x coordinate of (-2,-1), which is the point directly below (c,5).

The point (3,d) is on the same horizontal level as (-2,-1), so the y coordinates must match up. We therefore have d = -1.

Comparing c = -2 and d = -1, we see that d = -1 is larger as it is to the right of -2.

Answer:c

Step-by-step explanation:

becuase it minus so we can get rid of a and b, and since d is not the equation to find absolute value, it is not correct

Answer:

C. 172.5 ft²

Step-by-step explanation:

area of triangular roof piece is 1/2(10)(6.9) = 34.5

there are 5 of them so 34.5 x 5 = 172.5 ft²

Answer:

120 miles:4 hours

Step-by-step explanation:

Johns made

there are a total of 2 120 mile trips

9 hours = 4 hours + 5 hours (5 hours - 4 hours = 1)

120 miles:4 hours  simplify to 30 miles:1 hour

Answer: this answer is 30 miles per 1hr so it took 4hr for the second trip

HAVE A GOOD DAY

Answer:

The answer is option A

Step-by-step explanation:

[tex]5 \frac{3}{7} [/tex]

Can be written as

[tex] \frac{38}{7} [/tex]

Hope this helps you

Answer:

38/7

Step-by-step explanation:

question: 5*3/7

      we should first cross multiply 5 with 7 and add the 3 to the product.

      the formula for solving any question like this is :-

               ( whole no. multiplied with denominator ) + numerator

                                                 denominator

           here:   (5*7)+3

                           7

Answer:

-7 8/10  =  b

Step-by-step explanation:

Rewrite 4 1/3b as (11/3)b, and rewrite 10.4 as 104/10.  Then we have:

(11/3)b + b = 6b - 104/10.

This simplifies to b( (11/3) + 1 - 6) = 104/10, or

                             b(11/3 - 15/3) = 104/10, or

                             b( -4/3 ) = 104/10

Multiplying both sides by -3/4 isolates b, as desired:

                                                     -3(104)

                             (-3/4)(-4/3)b = -------------

                                                        4(10)

Then b = -312/40, or -156/20, or -78/10, or -7 8/10  =  b

The value of b from the expression given will be b= -7 8/10 .

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have been given an expression as;

4 1/3b + b = 6b–10.4

Rewrite 4 1/3b as (11/3)b, and rewrite 10.4 as 104/10, Then we have:

(11/3)b + b = 6b - 104/10.

This simplifies as;

b( (11/3) + 1 - 6) = 104/10, or

b(11/3 - 15/3) = 104/10, or

b( -4/3 ) = 104/10

Multiplying both sides by -3/4 isolates b, as desired:

-3(104)

(-3/4)(-4/3)b = -4(10)

Then b = -312/40,

or -156/20,

or -78/10,

or -7 8/10  =  b

Therefore the value of b from the expression given will be b= -7 8/10 .

Learn more about equations here;

https://brainly.com/question/10413253

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Answer:

25x + 100 = His goal

Step-by-step explanation:

He gets 25 from each person so the amount of people would be x and then you add 100 dollars for how much he still needs.

Y=25x +100, i think thats right not 100% sure though.

To find the minimum value of function 1, we need to find the vertex. The formula for the x-coordinate of the vertex is -b/2a, which is -1 in this equation. However, to find minimum and maximum values, we need to look at the y-coordinate. f(-1) is 4, which we know is a minimum (rather than a maximum), because the leading coefficient is positive -- so the parabola opens upwards. So, the minimum value of f(x) is 4, and the coordinate is (-1, 4).

From the table, the minimum value of g(x) is 3, and the coordinate is (0, 3).

Therefore, function 2 has the lowest minimum value, with coordinates (0, 3).

Answer:

1/36

Step-by-step explanation:

1/6x1/6=1/36

Answer:

I would try 10 again but this time put the degree sign in. Sometimes the computer registers in incorrect if it doesn't have a degree sign

Step-by-step explanation:

Also, this is a random note but in geometry, minutes and seconds are classified as smaller units in angles than degrees. 60 minutes is a degree and 60 seconds is a minute so that means 3600 seconds is a degree.

Answer:  

3/10

Step-by-step explanation:

Answer: The percentage of bags will the inspector reject = 15.87%

Step-by-step explanation:

Given, The weights of apple bags are normally distributed  with a mean of 5 pounds and a standard deviation of 0.25 pound.

i.e. [tex]\mu=5[/tex] and [tex]\sigma=0.25[/tex]

Let X be the weight of any random apple bag.

Since an inspector  weighs each bag and rejects all bags that weigh less than 4.75 pounds.

Then, the probability of bags will be rejected = probability that bags weigh less than 4.75 pounds.

[tex]=P(X<4.75)\\\\=P(\dfrac{X-\mu}{\sigma}<\dfrac{4.75-5}{0.25})\\\\=P(z<-1)\ \ \ [z=\dfrac{X-\mu}{\sigma}][/tex]

[tex]=1-P(z<1)\\\\=1-0.8413\ \ \ [\text{By z-value table}]\\\\=0.1587=15.87\%[/tex]

Hence, the percentage of bags will the inspector reject = 15.87%

Answer:

2.7

Step-by-step explanation:

2.5/5.8 = BD/6.2

BD = 2.7

Answer: 2.7

Step-by-step explanation: 2.5/5.8 = BD/6.2

BD = 2.7

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The multiplier for 1% would be 1.01

Multiply her distance from yesterday by this value

new distance = 10.75 x 1.01

new distance = 10.8575

I'm assuming you'd want the answer to 2 d.p (however, you can round accordingly if needed otherwise)

Subtract the two values

10.8575 - 10.75 = 0.1075

So, to 2 d.p your answer would be 0.11 km

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

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Answer:

(2,4), (6,4), (2,-2), (6,-2)

Step-by-step explanation:

To dilate a figure multiply 2(x,y)

2(1,2)  = (2,4)

2(3,2) = (6,4)

2(1,-1) = (2,-2)

2(3,-1) = (6,-2)

Hope this helps!   Ξ

Answer:

He wrote the rate incorrectly

Step-by-step explanation:

Camille's calculation

(48/$3.84)(?/s1)

48x/3.84

=$13.79

The correct calculation

(48/$3.84)(?/s1)

48x/3.84

=$12.50

To find the error in Camille's calculation

(48/$3.84)(?/s1)

48x/3.84

=$13.79

We will divide 48 ounces of jelly by $13.79 to get the rate

48/13.79

=$3.48

Therefore, Camille wrote the rate incorrectly by interchanging .84 after the decimal for .48

Answer:

add 10 on both sides

7<X

So X has to be bigger than 7

So 8,9,10, and 1000 can all be X.

Step-by-step explanation:

Answer:

7 < x

Step-by-step explanation:

the inequality is -3< x-10

any number that is greater than 7 can be a solution

1 gallon = 16 cups. She is making 2 gallons so needs 32 total cups.

The ratio is 4:3:1

Add the ratios: 4+ 3 + 1 = 8

Divide total cups by total ratio:

32/8 =4

Now multiply that by each portion of the ratio:

Grape juice = 4 x 4 = 16 cups

Pineapple juice = 3x4 = 12 cups

Cider = 1x 4 = 4 cups

She needs 12 cups of pineapple juice.

Answer:12 3/20

Step-by-step explanation:

Answer:

-5x - 8y = -5.

Step-by-step explanation:

4x + (-9x) -4y + (-4y) = -2 + (-3)

-5x - 8y = -5.

Answer:

 -5x -8y = -5

Step-by-step explanation:

The question asks us to add the equations

  4x - 4y = -2

+ -9x -4y = -3

------------------------

 -5x -8y = -5

Statement #1:

Since there are 30 total pizzas then the amount of pizzas with 12 slices is 60% of 30 which is 18. Then you can multiply 18 by 12 to get the amount of slices in the large pizzas with 12 slices:

18 × 12 = 216

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60% of the pizzas have 12 slices each. In total, there are 216 slices in these pizzas.

Statement #2

There are 12 remaining pizzas which means that 12 × 10 = 120 is the amount of slices in total of the smaller pizzas.

-----------------------------------------------------------------------------------------------------------------

40% of the pizzas have 10 slices each. In total, there are 120 slices in these pizzas.

Statement #3

To get the total amount of pizzas you simply add both of the previous solutions:

216 + 120 = 336

-----------------------------------------------------------------------------------------------

Altogether, there is a total of 336 slices of pizza.

Answer:

the third one