what is 5 times 10 to the sixth power times 5 times 10 to the seventh power in scientific notation

Answer:

8

Step-by-step explanation:

maths go brrrrrrrrrrr

Answer:

30 gallons/hr

Step-by-step explanation:

180/60 = 30

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

\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

What is the solution to 2x-8<12

\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

First, add 8 on both sides:-

2x<12+8

2x<20

Divide by 2 on both sides:-

x<10 (Option C)

So the numbers less than 10 will make this inequality true.

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Answer:

x<7

Step-by-step explanation:

x+4>2x-3

Add 3 to both sides: x+7>2x

Subtract x from both sides: 7>x or x<7

We can see from the table and the graph that the relationship is proportional. Also, the line passes through the origin

A relationship between two variables is said to be proportionate if it causes both of the variables' values to rise or fall by the same amount.

To know if the relationship is proportional we have to look at the table so that we can be able to see the movement of the values and thus know whether or not we can classify what we see as a proportional relationship.

If the relationship is proportional, then the increase would be by fixed amounts as shown in the graph.

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Answer:

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

14 + (42 + 7) + 32

14 + 49 + 32

63 + 32

95

Answer:

95

Step-by-step explanation:

Let's use BEDMAS to solve this (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)

1. Calculate the brackets.

42 + 7 = 49

2. Add 14 + 49 + 32

14 + 49 + 32 = 95

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Have a great summer :)

Answer:

8

Step-by-step explanation:

(4)(3)−22

=8

Answer:

Given that Mal sold a large photo for $ 50 and a large frame for $ 40, and that the sales tax for these products is 5%, to determine the total amount that the consumer had to pay to purchase these products arises from the following calculation:

Step-by-step explanation:

50 + 40) x 1.05 = X

90 x 1.05 = X

94.5 = X

Therefore, the total amount that the consumer had to pay for both products was $ 94.50.

When the height is 38 cm and the base is 32 cm, the rate at which the area of the triangle changes is 10 cm²/min.

The rate at which the area of a triangle changes can be found by multiplying the rate at which the base is shrinking by the rate at which the height is increasing.

Given:

Rate of shrinking of the base = -2 cm/min

Rate of increasing of the height = 3 cm/min

Height of the triangle = 38 cm

Base of the triangle = 32 cm

To find the rate at which the area of the triangle changes, we use the formula for the area of a triangle:

Area = (1/2) * base * height

Differentiating the area formula with respect to time gives us:

dA/dt = (1/2) * (db/dt) * height + (1/2) * base * (dh/dt)

Substituting the given values, we have:

dA/dt = (1/2) * (-2) * 38 + (1/2) * 32 * 3

Simplifying, we get:

dA/dt = -38 + 48

dA/dt = 10 cm²/min

Therefore, when the height is 38 cm and the base is 32 cm, the rate at which the area of the triangle changes is 10 cm²/min.

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The best explanation for the rounding error in Alex's program is that the arithmetic operations on floating-point numbers resulted in a round-off error, as binary floating-point representation cannot represent the number 0.8 exactly. The correct option is D).

The best explanation for the result is that the arithmetic operations on floating-point numbers resulted in a round-off error. In most programming languages, floating-point numbers are represented using a finite number of bits, which can result in some rounding errors when performing arithmetic operations.

This can occur because some numbers cannot be represented exactly using the available bits. In this case, the number 0.8 cannot be represented exactly using binary floating-point representation, leading to a small rounding error.

While this error may seem insignificant, it can accumulate over multiple operations and lead to more significant errors in certain situations.

Therefore, it is important to be aware of the limitations of floating-point arithmetic when working with numerical data in programming. The correct option is D).

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The mass of the chemicals at the end of the experiment is between 54.7 g and 54.71 g.

The lower bound for the mass of the chemicals at the end of the experiment is

            = 62 - 7.3

            =54.7 g.

The upper bound for the mass of the chemicals at the end of the experiment is 62 - 7.3 + 0.01 = 54.71 g.

Therefore, the mass of the chemicals at the end of the experiment is between 54.7 g and 54.71 g.

Note: The rounding to 2 significant figures means that the mass of the chemicals could be slightly different from the values given, but the difference would be less than 0.01 g.

What is lower bound?

The lowest number that can be rounded to obtain an estimated value is referred to as the lower bound (LB).

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Answer:

C) 12.75

Step-by-step explanation:

4x=51

x=51/4

x=12.75

The results tell us that jersey numbers on a football team vary much more than expected, as evidenced by the large range and standard deviation. The sample variance is also relatively high, indicating that there is a fair amount of variability among the jersey numbers in the sample. These statistics are meaningful and can provide insight into the distribution of jersey numbers on the team.

To find the range, we need to subtract the smallest number from the largest number in the sample. So, the range is:

94 - 15 = 79

To find the sample variance and standard deviation, we first need to find the mean of the sample. We can do this by adding up all the numbers and dividing by the total number of players:

(33 + 74 + 70 + 65 + 56 + 47 + 39 + 72 + 57 + 94 + 15) / 11 = 54.18

Next, we need to find the difference between each number and the mean, square them, and add them up. This gives us the sum of squares:

[(33 - 54.18)^2 + (74 - 54.18)^2 + (70 - 54.18)^2 + (65 - 54.18)^2 + (56 - 54.18)^2 + (47 - 54.18)^2 + (39 - 54.18)^2 + (72 - 54.18)^2 + (57 - 54.18)^2 + (94 - 54.18)^2 + (15 - 54.18)^2] = 15864.4

The sample variance is then calculated by dividing the sum of squares by the total number of players minus one:

15864.4 / 10 = 1586.44

Finally, we can calculate the sample standard deviation by taking the square root of the variance:

√1586.44 ≈ 39.83

The results tell us that jersey numbers on a football team vary much more than expected, as evidenced by the large range and standard deviation. The sample variance is also relatively high, indicating that there is a fair amount of variability among the jersey numbers in the sample. These statistics are meaningful and can provide insight into the distribution of jersey numbers on the team.

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For length of 50 yards , the width is 60 yards, for length of 40 yards , the width is 75 yards, for length of 48 yards, the width is 62.5 yards , for length of 36 yards, the width is 83.33 yards, they are inversely proportional.

The formula for the area of a rectangle is: Area = Length * Width.

So, for the given case, we have:

Area = 3000 square yards

Length = 50 yards, 40 yards, 48 yards, or 36 yards

Therefore, the width of the plot in each case can be calculated as:

For Length = 50 yards,

Width = Area / Length

= 3000 / 50

= 60 yards

For Length = 40 yards,

Width = Area / Length

= 3000 / 40

= 75 yards

For Length = 48 yards,

Width = Area / Length

= 3000 / 48

= 62.5 yards

For Length = 36 yards,

Width = Area / Length

= 3000 / 36

= 83.33 yards

Therefore, the width of the plot depends on the length chosen and they are inversely proportional. When the length increases, the width decreases, and when the length decreases, the width increases.

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Answer:

From left column to right

Left                             Right

1. 23a+18                         1. 7a-6

2. 23a-6                           2. 7a-18

3.  23a-18                             3. 7a+6

4. 0a+4                               4. 0a+0

Step-by-step explanation:

The first example you distribute by doing 3 x 5a plus 3 x 2 + 4 x 2a + 4 x 3

Answer is 15a+6+8a+12=

23a+18

Hope this helped :)

Using  cylindrical coordinates ∫∫∫ (r^3cos^2θ) dz dr dθ, where r ranges from 0 to 2, θ ranges from 0 to 2π, and z ranges from 0 to √(36r^2).

To evaluate the integral ∫∫∫ x^2 dV over the solid e, using cylindrical coordinates, we need to express the integral in terms of cylindrical coordinates and determine the appropriate bounds for the variables.

In cylindrical coordinates, the solid e can be defined as follows:

Radius: r ranges from 0 to 2 (from x^2 + y^2 = 4, taking the square root).

Angle: θ ranges from 0 to 2π (full revolution around the z-axis).

Height: z ranges from 0 to the height of the cone, which is determined by z^2 = 36x^2 + 36y^2.

To convert the integral, we need to express x^2 in terms of cylindrical coordinates:

x^2 = (rcosθ)^2 = r^2cos^2θ

The integral in cylindrical coordinates becomes:

∫∫∫ (r^2cos^2θ) r dz dr dθ

Now we can determine the bounds for the variables:

r ranges from 0 to 2.

θ ranges from 0 to 2π.

z ranges from 0 to the height of the cone, which can be determined by setting z^2 = 36r^2.

Substituting the bounds and integrating, we can evaluate the integral to find the desired result.

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Answer:

5000

Step-by-step explanation:

100 × 50

5000

Answer:

C

Step-by-step explanation:

can i get brainleist plz

Answer:

The first choice

Step-by-step explanation:

When the question says 6 hours or less, then you would use this sign ≤.

The answer choices are easy to cross out because there's only one answer choice that matches the question and that is letter choice A.

8x goes with ≤ 6 and 12x goes with the number that is greater than 6. So, your answer choice is A.

The correct answer is D.) ​|−14.6 − (−5.2)|

Step-by-step explanation: This is the case because we are first subtracting the value of the two numbers from each other. Then we're taking the absolute value so we can find distance, which is always expressed in a positive number.

To determine whether a system is linear and time-invariant, we need to check two properties: linearity and time-invariance.

(i) Linearity:

A system is linear if it satisfies the properties of superposition and scaling.

(ii) Time-invariance:

A system is time-invariant if its output remains unchanged when the input is shifted in time.

Now, let's analyze each option:

(a) y[n] = n x[n]:

This system is linear because it satisfies the properties of superposition and scaling. However, it is not time-invariant because the output depends on the value of n, which means it changes when the input is shifted in time. Therefore, option (a) is linear but not time-invariant.

(b) y[n] = x[n] + 1:

This system is linear because it satisfies the properties of superposition and scaling. Additionally, it is time-invariant because shifting the input in time by n does not affect the output. Therefore, option (b) is both linear and time-invariant.

(c) y[n] = 2y[n - 1] + 3x[n] + nx[n - 1]:

This system is nonlinear because of the presence of the term "nx[n - 1]". Additionally, it is not time-invariant because the output depends on the current and past values of the input, which means it changes when the input is shifted in time. Therefore, option (c) is neither linear nor time-invariant.

(d) y[n] = 2y[n - 1] + 3x[n] + 4x[n - 1]:

This system is nonlinear because of the presence of the term "4x[n - 1]". Additionally, it is not time-invariant because the output depends on the current and past values of the input, which means it changes when the input is shifted in time. Therefore, option (d) is neither linear nor time-invariant.

In conclusion, the only system that is both linear and time-invariant is option (b) given by y[n] = x[n] + 1.

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Answer:

The answers is 8.06on DeltaMath

Step-by-step explanation:

The length of BD which is the altitude of the right angle triangle will be 6 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

According to the hypotenuse-leg (HL) principle, a right triangle is harmonious if each of its third side and legs are congruent with its equivalent hypotenuse and legs in another right triangle. The HL theorem proves that these triangles are identical.

A right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 3 and DC = 12.

Then the equation is given as,

BD² = AD x DC

BD² = 3 x 12

BD² = 36

BD = 6

The length of BD which is the altitude of the right angle triangle will be 6 units.

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The reference triangles always have a leg perpendicular to the hypotenuse.

In a right triangle, the reference triangle is formed by dropping a perpendicular from one of the acute angles to the hypotenuse. This perpendicular leg, also known as the altitude, divides the hypotenuse into two segments. The reference triangle is created to establish a relationship between the angles and sides of the original right triangle. By considering the ratios of the sides in the reference triangle, we can apply trigonometric functions to solve various problems involving right triangles. The perpendicular leg of the reference triangle is crucial in determining the values of sine, cosine, and tangent for the given angle in the original triangle.

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Division is one of the four fundamental arithmetic operations. The unit rate for ticket is $8.75 per ticket.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that the cost of 4 tickets are $35. Therefore, the unit rate for each ticket is,

Unit rate of ticket = Cost of 4 tickets / Number of tickets

                             = $35 / 4 tickets

                             = $8.75 per ticket

Therefore, the unit rate for ticket is $8.75 per ticket.

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Answer:

-13, -9, 2, 12, 25

Answer:

a) 2.5x + 5  b) $5

Step-by-step explanation:

We know that the rate is 2.50 an hour, and she parked for 4 hours. Multiply 2.5 by 4 to get 10. This means that she spent 10 out of 15 of her dollars on the rate, meaning the initial fee was 5 dollars.

Answer:

a. y = 2.5x + 5

b. $5

Step-by-step explanation:

y = mx + b

m = slope is the fee per hour

b = y-intercept is the fixed fee

y = 2.5x + b

We know that she paid $15 for 4 hours, so we have point (4, 15). We now replace x and y in the equation with 4 and 15, respectively, and solve for b.

15 = 2.5(4) + b

15 = 10 + b

b = 5

a. The equation is:

y = 2.5x + 5

b. The initial fee is $5

Answer:

Step-by-step explanation:

Let's do an example.

60:90:100

100 plus 90 plus 60 is 250

ben gets 90 of that 250

or 9/25.

The Spearman rank-order correlation coefficient is a measure of the direction and strength of the linear relationship between two ordinal variables.

Spearman's rank-order correlation is used when two variables are measured on an ordinal scale.

What is the Spearman Rank-Order Correlation Coefficient?

The Spearman Rank-Order Correlation Coefficient is a non-parametric statistical measure that estimates the relationship between two variables using ordinal data.

It evaluates the strength and direction of a relationship between two variables by rank-ordering the data.

The Spearman correlation coefficient, named after Charles Spearman, calculates the association between two variables' rankings.

The correlation coefficient ranges from -1 to +1. A value of +1 indicates that there is a perfect positive relationship between the variables, whereas a value of -1 indicates that there is a perfect negative relationship between the variables.

In contrast, a value of 0 indicates that there is no correlation between the variables.

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It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. Hence:

Rate of the machine = 3 pounds / 20 seconds = 0.15 pound per second

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

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the induced emf in the loop can be calculated as emf = -dΦ/dt = -B * dA/dt = -B * (-αa) = αBa constant.Thus, at an instant when the side length of the loop is a, the induced emf in the loop is given by αBa.

According to Faraday's law, the induced emf in a loop is equal to the negative rate of change of magnetic flux through the loop. In this scenario, as the sides of the square loop shrink at a constant rate α, the area of the loop is decreasing. Since the loop is placed in a perpendicular magnetic field B, the magnetic flux through the loop is given by the product of the magnetic field and the area of the loop.

As the area of the loop changes with time, the rate of change of magnetic flux is given by dΦ/dt = B * dA/dt, where dA/dt represents the rate of change of the loop's area. Since the sides of the loop are shrinking at a constant rate α, the rate of change of area can be expressed as dA/dt = -αa, where a represents the current side length of the loop.

Therefore, the induced emf in the loop can be calculated as emf = -dΦ/dt = -B * dA/dt = -B * (-αa) = αBa. Thus, at an instant when the side length of the loop is a, the induced emf in the loop is given by αBa.

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