4 1/5 subtract 3 4/5

Answer:

If two numbers have the same exponent for 10, then compare the decimal numbers to determine the greater number. Sometimes you may have to compare two numbers, but only one of them is in scientific notation. In that case, convert the number that is not in scientific notation into scientific notation first. Then, compare the two numbers. Example 1 : Compare 5.62 x 10 6 and 7.39 x 10 5.

Step-by-step explanation:

The general form in scientific notation is

where z is integer

So while comaparing

We usually compare z.z rounded to similar significant numbers .

In rest case

Example

First one is bigger

Answer:

x=-4 x=2

Step-by-step explanation:

BRAINLIEST PLS

a) The value of x is 21

b) The value of the expression is 135.

c) The value of the expression is 135.

Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:

5*(x + 6) = 9*(x - 6)

We can solve that linear equation for x:

5x + 30 = 9x - 54

30 + 54 = 9x - 5x

84 = 4x

84/4 = x

21 = x

Then the measures of the angles are:

a1 = 5*(21 + 6) = 135°

a2 = 9*(21 - 6) = 135°

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Answer:

95. So basically it's the last option. :,)

Step - Step Explanation:

10² - 2* 8 + 11

100 - 2*8 + 11

100 - 16 + 11

84 + 11

= 95.

Answer: Hence, the time taken by the experienced crew would be 9 hours.

Step-by-step explanation:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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The amount of groundwater that California pumps per day are 2.4 times more than in Texas.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

California pumps about 1.74 × 10¹⁰ gallons of groundwater each day.

Texas pumps about 7.25 × 10⁹ gallons of groundwater per day.

Then the ratio of the amount of water between California  and Texas will be

\(\rm \dfrac{California}{Texas} = \dfrac{1.74 \times 10^{10}}{7.25 \times 10^9}\\\\\\California \ = 2.4 \times Texas\)

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Answer:

48

Step-by-step explanation:

N₁ = 6

N(n+1) = 6*(Nn  -4 )

N₍₁₊₁₎= 6* (N₁ - 4)

N₂ = 6 *(6-4)  = 6*2

N₂ = 12

     N₍₂₊₁₎ = 6*(N₂ - 4)

      N₃ = 6*(12 -4) = 6* 8

     N₃ = 48

Answer:

Length = 4x+5

Breadth = 3x

Area = l × b

= (4x+5) × 3x

= 12 x² + 15 x

Answer:

8.75 miles

Step-by-step explanation:

using the equation for the line of best fit

y = 0.8x + 0.75

substitute x = 10 into the equation

y = 0.8(10) + 0.75 = 8 + 0.75 = 8.75

the equation predicts she will run 8.75 miles in week 10

Answer:

5

Step-by-step explanation:

Answer: 3/8

Step-by-step explanation: All you do is 1/2 times 3/4. Numerator times numerator. The Denominator times denominator.

Answer:

The answer is A [   5(a + 6)   ]

Step-by-step explanation:

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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Answer:

10

Step-by-step explanation:

y = 4x - 3

37 = 4x - 3

40 = 4x

x = 10

Answer:

10

Step-by-step explanation:

.....

Answer:

2 units i think im brain ded so ?

Step-by-step explanation:

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

\( →\frac{8xy}{24y} = \frac{8}{24} . \frac{xy}{y} = \frac{1}{3}. x = \boxed{ \frac{x}{3} }✓ \\ \)

\(50/60\)

That should be your answer

Answer:

Hello, There! I'm here to help!

Which fractions are equivalent to 10/12?

According to The Question I'm guessing you mean 10/12

If so The Following Fractions are Equilvalent to 10/12

1. 20/24

2. 30/36

3. 40/48

5. 50/60

Step-by-step explanation:

To get Eqilvalent You Can Multiply Number  to the fractions to find out what's Equilvalent

Therefore, I hope this helps you!

Answer:

The amounts of salt in the tank at any time prior to the instant when the solution begins to overflow is.

        \(Q(t)=-\frac {4\times 10^6}{(200+t)^2}+200+t\)

Step-by-step explanation:

Let Q(t) be the  amount of salt in the tank at any time \(t\).

Then, its time of change, \(Q'(t)\) by (Balance law).

Since three gallons of salt water runs in the tank per minute, containing \(1\) lb of salt, the salt inflow rate is

                              \(3\cdot 1=3\)

The  amount of water in the tank at any time \(t\) is,

                     \(V(t)=200+(3-2)t=200+t,\)

Now, the outflow is \(2\) gal of the solution in a minute. That is \(\frac 2{200+t}\) of the total solution content in the tank, hence \(\frac 2{200+t}\) of the salt salt content \(Q(t)\), that is \(\frac {2Q(t)}{200+t}\),

Initially, the tank contains \(100\) lb of salt,

Therefore, we obtain the initial condition   \(Q(0)=100\)

Thus, the model is

                   \(Q'(t)=3-\frac {2Q(t)}{200+t}, \;\;Q(0)=100\)

                 \(\Rightarrow Q'(t)+\frac {2}{200+t}Q(t)=3, \;\;Q(0)=100\)

            here, \(p(t)=\frac 2{200+t}\;\; \text{and}\;\; q(t)=3\) Linear ODE

So, the integrating factor is

      \(e^{\int pdt}=e^{2\int \frac{dt}{200+t}=e^{\ln(200+t)^2}=(200+t)^2\)

and the general solution is

            \(Q(t)(200+t)^2=\int q(t)(200+t)^2dt+c\)

          \(\Rightarrow Q(t)=\frac 1{(200+t)^2}\int 3(200+t)^2dt+c\)

                     \(=\frac c{(200+t)^2}+200+t\)

using initial condition and find the value of constant c.

      \(100=Q(0)=\frac c{(200+0)^2}+200+0\Rightarrow -100=\frac c{200^2}\)

                                                     \(\Rightarrow c=-4000000=-4\times 10^6\)

          \(\Rightarrow Q(t)=-\frac {4\times 10^6}{(200+t)^2}+200+t\)

Hence, is the amount of salt in the tank at any moment t.

By translation, the image of the triangle X is equivalent to the triangle E.

Herein we find the representation of a triangle, whose vertices are described below:

A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)

Whose image must be determined by a rigid transformation known as translation:

P'(x, y) = P(x, y) + T(x, y)

Where:

Now we proceed to determine the images of the vertices of the triangle:

A'(x, y) = (5, 5) + (4, - 3)

A'(x, y) = (9, 2)

B'(x, y) = (5, 6) + (4, - 3)

B'(x, y) = (9, 3)

C'(x, y) = (7, 5) + (4, - 3)

C'(x, y) = (11, 2)

Therefore, the triangle E is the image of the triangle X.

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Answer:

  f(m) = 0.128m

Step-by-step explanation:

cost per mile = (cost per gallon)/(miles per gallon) = $3.20/25 = $0.128

Then the desired function is ...

  f(m) = 0.128m

Answer:

24°

Step-by-step explanation:

For an n-sided regular polygon, the sum of internal angles = (n-2)×180°

Since all internal angles are equal, the internal angle can is given as:

Here, it is given that the polygon has 15 sides.

So n = 15

So each internal angle is 156°.

Internal and external angles are always supplementary. So the sum of the internal and external angles is 180°.

So external angle = 180° - 156° = 24°.

The measure of each external angle is 24°.

The probability of 5 heads in 10 flips.

A coin is flipped 10 times and we want to find the probability of getting exactly 5 heads.

This situation is a binomial distribution because it involves a fixed number of trials (10) and each trial has a fixed probability of success (1/2). . The probability of obtaining exactly 6 successes in 10 trials is given by the formula P(x) = nCx * px * (1-p)n-x. In this situation, the probability is P(x) = 10C6 * 0.26 * 0.84 = 0.17496. The probability of getting exactly 5 heads can be calculated using the formula P(X=5) = 10C5 * 0.5^5 * 0.5^5 = 0.246. This is the probability of 5 heads in 10 flips.

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Complete question:What is the probability of getting 5 heads when you toss a fair coin 10 times?

The graph of the function y = 1/3x - 2 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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The x-coordinate of the point of inflection is 9/4.

The interval on the left of the inflection point is 9/4 and on the function is concave down at (-∞, 9/4).

The interval on the right of the inflection point is 9/4 and on the function is concave up at (9/4, ∞).

In the given question we have to determine the intervals on which the given function is concave up or down and find the point of inflection.

The given function is:

f(x) = x(x−4√x)

Firstly finding the first and second derivatives.

f(x) = x^2−4x^{3/2}

f'(x) = 2x−4*3/2*x^{1/2}

f'(x) = 2x−6x^{1/2}

f''(x) = 2−6*(1/2)*x^{−1/2}

f''(x) = 2−3x^{−1/2}

Now finding the inflection point by equating the second derivative equal to zero.

f''(x) = 0

2−3x^{−1/2} = 0

After solving

x = 9/4

For left half of the number line of 9/4, f''(x)<0. So, the function is concave down in (-∞, 9/4).

For left right of the number line of 9/4, f''(x)>0. So, the function is concave up in (9/4, ∞).

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The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.

Line Plot:

A line plot displays data points on a number line, representing the frequency or count of each value.

In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.

For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.

Histogram:

A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.

The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.

The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.

The height of each bar in the histogram will represent the number of students falling into each interval.

Box Plot:

A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.

The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.

The box will represent the interquartile range (IQR), showing the middle 50% of the data.

The line within the box will represent the median value.

The whiskers will indicate the minimum and maximum values, excluding outliers.

By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.

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