Machine A makes 144 parts in 6 hours. Machine B makes 468 parts in 9 hours. How many more parts can Machine B make after 12 hours?

Value for multiplication of 6.75 x 10⁶ and 1.2 × 10⁶ : 8.1 x 10¹²

What is Multiplication?

The process of finding the sum of two or more numbers is known as multiplication. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of the same size, we employ multiplication.

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

We have the given values to multiply:

6.75 x 10⁶ and 1.2 × 10⁶

Now,

= 6.75 x 10⁶ x 1.2 × 10⁶

= (6.75 x 1.2) x (10⁶ x 10⁶)

= (8.1) x 10⁽⁶⁺⁶⁾

= 8.1 x 10¹²

Hence, the value of multiplication of 6.75 x 10⁶ and 1.2 × 10⁶ is 8.1 x 10¹²

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The image point of (-9, -5) after applying this translation rule (T₋₅, ₀) and dilation (D₂) is (-28, -10).

In Mathematics, the translation of a geometric figure to the left simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Mathematically, a horizontal translation to the left is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

By applying the transformation rule T₋₅, ₀ to the pre-image point (-9, -5), we have:

(x, y)                      →              (x − 5, y + 0)

(-9, -5)                   →              (-9 − 5, -5 + 0) = (-14, -5)

Next, we would apply a dilation (D₂) by using a scale factor of 2:

(x, y)        →    (kx, ky)  = (2x, 2y)

(-14, -5)    →    (2(-14), 2(-5))  = (-28, -10).

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The distance at which the ladder slips down the wall is equal to 5cm.

As given in the question,

figure of the given situation attached.

Length of the ladder AD or BE = 3m

                                                  = 300cm

Distance between base of wall and ladder before slipping 'DC'= 60cm

Distance after slipping 'EC' = 80 cm

In ΔADC,

AC =√AD² -CD²

     = √ 300² - 60²

     = √86400

     = 293.9

     = 294 cm ( nearest cm)

BC = √ BE² - EC²

     = √300² -80²

    = √ 83600

    = 289.1

    = 289 cm ( nearest cm)

Distance AB = AC - BC

                     = 294 - 289

                     = 5cm

Therefore, distance between the ladder before and after slipping on the wall is 5cm.  

The complete question is :

At the start of the day , a decorator rested a 3m ladder against a vertical wall so that the foot of the ladder was 60cm away from the base of the wall. During the day, the ladder slipped down the wall, causing the foot of the ladder to move 80cm further away from the base of the wall. How far down the wall, in centimeters, did the ladder slip? Give your answer to the nearest 1cm.

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The number to be filled in the blank  is 30

Let us consider the number in the blank = x

Rewriting it as a linear equation,

36 * 8 =( x + 6 )8

288 = ( x + 6) 8

288 /8 = x + 6

36 = x + 6

 x = 36- 6

  x = 30

The number to be filled in the blank  is 30

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Answer:

Step-by-step explanation:

hopes this helps please mark brainliest

Follow up answer is 90/500

9/50

Using the probability, if you choose two cards out of a deck of cards, then the chances one is a red face card and the other is a black non-face card is 1/2.

In the given question,

If you choose two cards out of a deck of cards, then we have to find the chances one is a red face card and the other is a black non-face card.

As we know that in a deck having 52 cards. In which 26 are red and 26 are black.

We have to choose a red face card.

As we know that in a deck have 12 face cards. In which 6 red face cards and 6 black face cards.

So the chance of getting red face card is

P(R)=Total number of red face cards/Total number of cards

P(R)=6/52

We have to choose a black non-face card.

We know that in a deck have 6 black face cards and total black cards are 26. So the non face cards are 20.

So the chance of getting black non-face card is

P(B)=Total number of black non-face cards/Total number of cards

P(B)=20/52

Now the chances of getting one is a red face card and the other is a black non-face card is

P(R or B)=P(R)+P(B)

P(R or B)=6/52+20/52

P(R or B)=(6+20)/52

P(R or B)=26/52

P(R or B)=1/2

Hence, if you choose two cards out of a deck of cards, then the chances one is a red face card and the other is a black non-face card is 1/2.

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Required standard form for given circle is [tex](x-2)^{2}+(y+9)^{2}=4[/tex]

Standard form of circle is expressed as[tex](x-h)^{2}+(y-k)^2=r^{2}[/tex] ,where h,k are the coordinate of the center of circle and r is radius.

Center (h, k) = (2, -9)

radius = 2 units

Using standard form of equation,

[tex](x-h)^{2}+(y-k)^2=r^{2}[/tex]

Putting the given values,we get

[tex](x-2)^{2}+(y-(-9))^{2}=2^{2}[/tex]

⇒ [tex](x-2)^{2}+(y+9)^{2}=4[/tex]

Hence, the standard form of equation of circle is [tex](x-2)^{2}+(y+9)^{2}=4[/tex] .

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Answer: I EXPLAINED IT TELL ME IF YOU NEED THE ANSWER!

Step-by-step explanation: You can find the final equation for the segment of a circle area: A segment = A sector - A isosceles triangle = (0.5 × r² × α) - (0.5 × r² × sin(α)) = 0.5 × r² × (α – sin(α)) Formula given radius and height. A segment = r² × Arcos((r-h)/r) - (r-h) × √ (2 × r × h - h²) where h is the height of a segment, also known as sagitta.

Answer: x = 57

Step-by-step explanation:

Since CD = AC, triangle ACD is isosceles, therefore

ADC = DAC

ADC + DAC + 112 = 180

ADC + DAC = 180 -112 = 68

ADC + DAC = 68/2 = 34

DEB = 180 - 34 - 23 = 123 (sum of interior angles of a triangle = 180)

Therefore, x = 180 - 123 = 57  (DEB and x are supplementary angles)

If Sarah only works in 23 of those schools then Sarah worked with 9,351 students.

Given, There are a total of 58 schools and 23,581 students attend those schools. Sarah only works in 23 of those schools

now, as 58 schools = 23581 students

1 school = 23581/58 students

now,

23 schools = 23× 23581/58 students

23 schools = 9,351 students

So, Sarah worked with 9,351 students.

Hence, Sarah worked with 9,351 students.

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Answer:

Bob can buy no more than 3 snow cones.

Step-by-step explanation:

[tex]12.75 - 1.25c \geqslant 8.75[/tex]

[tex] - 1.25c \geqslant - 4[/tex]

[tex]1.25c \leqslant 4[/tex]

[tex]c \leqslant 3.2[/tex]

So Bob can buy up to 3 snow cones.

Answer:

y = [tex]\frac{5}{3}[/tex] x -9

Step-by-step explanation:

Put both equations in the slope intercept form

y =mx + b

5x - 3y = 7  Subtract 5x from both sides

-3y = -5x + 7  Divide both sides by -3

y = [tex]\frac{-5}{-3}[/tex] x + [tex]\frac{7}{-3}[/tex]  Cleaned up

y = [tex]\frac{5}{3}[/tex] x - [tex]\frac{7}{3}[/tex]

4x -y = 9  Subtract 4x from both sides

-y = -4x + 9  Divide all the way through by -1

y = 4x - 9

To make a line parallel to the first equation, we need the same slope.  The slope of the first equation is [tex]\frac{5}{3}[/tex].  We are also told to have the same y intercept as the second equation which is -9

y = [tex]\frac{5}{3}[/tex] x  - 9

4373 are many fireflies do we need linear equation.

What is an explanation of a linear equation?

If each flash is 0.1 lumens, 40*10 flashes OR 400 flashes equal 40 lumens

P(X>400) = 0.7 (given information)

P(X < 400) = 0.3

P(Z < z0) = 0.3 when z0 = -1.88 (from the z-table)

z0 = -1.88 = (400 - E(X))/V(X)

= -1.88V = 400 - E

= -1.88 √(n*0.1*0.9) = 400 - n*0.1

= -1.88*0.3√n = 400 - 0.1n

= 0.1n - 0.564√n - 400 = 0

n  = 4373

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Answer:

440 miles

Step-by-step explanation:

5 pairs of 12 mintues make 1 hour

5 *88 = 440

Answer:

3X7

Step-by-step explanation:

product means to multiply

The equivalent expression for the exponential expression 4³ . 4⁻⁹ is either 4⁻⁶ or 1/4⁶

Exponential expression:

Exponential expression means a mathematical expression consisting of a constant raised to some power.

Given,

Here we have the expression 4³ . 4⁻⁹.

Now, we have to simplify this expression to find the equivalent expression.

According to the following exponent rule,

xᵃ . xᵇ = x⁽ᵃ⁺ᵇ⁾

Based on this rule, we have rewritten the expression as,

=> 4⁽³ ⁺ ⁽⁻⁹⁾⁾

Thus the resulting value of the expression is,

=> 4 ⁽³⁻⁹⁾

=> 4⁻⁶

By using the another exponent rule, we get the value as,

=> 1/4⁶

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Answer:

205 because 8.4% of 17.22 is 205

Answer:

The x value does not change between the two points, meaning that our line includes all possible points in which x=5.

x=5 is the slope.

Answer:

x = 5

Step-by-step explanation:

slope: undefined

So, x = 5

Answer:

below

Step-by-step explanation:

The arc length is  220 / 360 ths of the total circumference

find the total circumference = pi *2r = 64 pi  inches

now multiply by the fraction  of the total circumference

   220 / 360   *  64 pi = 122.9 in

6xy - 18y

common factor is 6y:

6y(x - 3)

The percent of decrease in screen time this week is 40%. correct option is (C).

given that

lora's screen time last week is 840 minutes

lora's screen time this week is 504 minutes

let's calculate the percentage decrease

decrease = 504-840

decrease = -336

percentage decrease = (-336/840) * 100

                                    = -0.4*100

                                    =-40

percentage of decrease is 40%

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The question was incomplete. Check below the complete question.

Lora' phone record data for creen time each week. Lat week, he ued 840 minute. Thi week, Lora ued 504 creen time minute on the phone. Calculate the percent decreae in creen time thi week.

a. 17%

b. 34%

c. 40%

d. 67%

Answer:

10.5

Step-by-step explanation:

each quart is half a pint so 21 divided by 2 is this 10.5

Answer:   48 students

Step-by-step explanation:   1+4=5

60÷5=12

12x4=48

Answer:

2

Step-by-step explanation:

because u need to multiply

Using the Uniform Distribution and the Z- distribution, it is found that 1591 specimens should be tested.

Uniform Distribution: It refers to a type of probability distribution in which all outcomes are equally likely.

Z- Distribution: The standard normal distribution, also known as z distribution, is a special normal distribution where the mean is 0 and standard deviation is 01.

For an uniform distribution of bounds a & b the standard deviation is given by:  α = √ (b-a)²÷12

here, α= standard deviation.

in this problem, a = 45 and b = 750, thus the estimate is:

α = √(750-45)² ÷ 12

  = √497025 ÷ 12

  = 203.5

the margin of error of a Z confidence interval is given by:

                  M = z (α ÷√n)

where, z is the critical value

            α is the population Standard deviation

             n is the sample size.

Now, finding the critical value which is z with a p - value of (1+∝ )÷2, where ∝ is confidence level.

here, ∝ = 0.95, thus z with a p-value of (1+0.95)÷ 2 = 0.96

∴ z= 0.96

standard deviation estimates is 203.5.

now, we want sample for a margin of error of 10, then,

               M= z( α ÷ √n)

         ⇒ 10 = 1.96 ( 203.5 ÷ √n)

         ⇒ 10√n = 1.96 (203.5)

         ⇒ √n = 0.196 (203.5)

         ⇒ (√n)² = [0.196(203.5)]²

         ⇒ n = 1590.89

Round up the value 1590.89 by:

1591 specimen should be tested

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If in Last week, Colton sold 14 magazine subscriptions and 36 raffle tickets for a fundraiser. This week, he sold 18 magazine subscriptions and 26 raffle tickets. If Colton charged $10.25 for each magazine subscription and $0.50 for each raffle ticket, Then $359 money he earned for the fundraiser over these two weeks

Two or more expressions with an Equal sign is called as Equation

Given,

10.25 for each magazine subscription and $0.50 for each raffle ticket,

M=10.25 and T=0.50

Last week:

14 magazine subscriptions and 36 raffle tickets for a fundraiser.

14M+36T

Now substitute M and T values

14(10.25)+36(0.50)

143.5+18

161.5

Current week:

18 magazine subscriptions and 26 raffle tickets.

18M+26T

Now substitute M and T values

18(10.25)+26(0.50)

184.5+13

197.5

So total money he earned for two weeks is 161.5+197.5

$359

Hence $359 money did he earn for the fundraiser over these two weeks

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Answer:

85

Step-by-step explanation:

solo lo sumas para que le entiendas consulta a una maestro jajja

The side length [tex]x = \sqrt{444}[/tex] => x = 21

The right angle, or 90°, is always one angle.

The hypotenuse is the side that will be 90° away from the other angle.

The longest side is always the hypotenuse.

The other two inside angles will add up to 90 degrees.

Also known as base and perpendicular are the other two sides that are close to the right angle.

The first two sides of the triangle are :

1st angle = 20°

2nd angle = 12°

Thus by using the Pythagoras theorem ;

20² + 12² = x²

400 + 144 = x²

this implies , 444 = x²

Taking square roots on both sides we get

[tex]x = \sqrt{444}[/tex]

x = 21

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The solution to the questions are

The function is given as

y = (x + 3)/(x - 2)

The numerator of the function is

x + 3

The above expression is a linear expression

So, the degree is 1

The function is given as

y = (x + 3)/(x - 2)

The denominator of the function is

x - 2

The above expression is a linear expression

So, the degree is 1

The function is given as

y = (x + 3)/(x - 2)

Set the numerator to 0

x +3 = 0

Evaluate

x = -3

The degree of the numerator is 1

So, the horizontal asymptote is y = 1

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Answer:

See the attached graph.

Step-by-step explanation:

Pick any two values of x that are on the x axis and compute the values of y using the equation.  I'll pick x values of -1 and 2 for illustration.

  x=-3x + 5

X      Y

-1     2

 2      -1

Plot those poins and then connect them with a ruler to form the line for y = -3x + 5

Se the attached graph.