Ready for More?


How can you show that a quadrilateral is a square with the fewest steps?

Answer:

2x3x5=120

Step-by-step explanation:

Answer:

30 is the missing number.

Step-by-step explanation:

The equation is,

→ 2³ × x × 5 = 120

Then the value of x will be,

→ 2³ × x × 5 = 120

→ 8 × x × 5 = 120

→ x × 40 = 120

→ x = 120/40

→ [ x = 30 ]

Hence, the value of x is 30.

Answer:

y = 3

Step-by-step explanation:

\(y + 2 = 5 \\ y = 5 - 2 \\ y = 3\)

Answer:

y = 3

Step-by-step explanation:

Answer:

x = 5 and -5

Step-by-step explanation:

5\(x^{2}\) = 125

5\((5^{2})\)

5(25)

125

5\((-5)^{2}\)

5(25)

125

Same answer when x = 5 an d when x = -5

Answer:

Step-by-step explanation:

According to given table, we can see each line has relationship:

Convert this into equation of the line:

Correct choice is D

Answer:

3600

Step-by-step explanation:

125%=4500

5*25%=4500

25%=900

125%-25%=100%

4500-900=3600

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517. Option B

To solve the equation cos(x) - x * e = 0 in the interval [0, 1] using the bisection method, we start by checking the function values at the endpoints of the interval.

For x = 0:

cos(0) - 0 * e = 1 - 0 = 1

For x = 1:

cos(1) - 1 * e ≈ 0.54 - 2.72 ≈ -2.18

Since the function values at the endpoints have opposite signs, we can apply the bisection method to find the root within the interval.

The bisection method involves repeatedly dividing the interval in half and checking the function value at the midpoint until a sufficiently accurate approximation is obtained. In this case, we will perform 10 iterations.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517.

Therefore, the correct answer is OB) 0.517.

For more such questions on estimated value visit:

https://brainly.com/question/24239771

#SPJ8

Answer:

√441=21

√361=19

√401=20.02 or 20

Answer:

(5.5,8) and (5.5,3) are the possible midpoints

Step-by-step explanation:

Given

\(D = 11\)

\(DE = 5\)

Required

Determine the midpoint of DE

First, we need to determine the coordinates of E

If E is at the right of DE, then

\(D - E = 5\)

\(11 - E = 5\)

\(E = 11 - 5\)

\(E = 6\)

Hence,

(D,E) = (11,6)

Calculate Midpoint

\(Midpoint = \frac{1}{2} * (11,6)\)

\(Midpoint = (5.5,3)\)

Else:

\(E - D = 5\)

\(E - 11 = 5\)

\(E = 11 + 5\)

\(E = 16\)

Hence,

(D,E) = (11,16)

Calculate Midpoint

\(Midpoint = \frac{1}{2} * (11,16)\)

\(Midpoint = (5.5,8)\)

(5.5,8) and (5.5,3) are the possible midpoints

Answer: the last question at the very bottom

Step-by-step explanation:

the graph is not a scatter plot, so its a line plot .

The nth term of the geometric sequence is Aₙ =  -3/8 (-8)ⁿ

Geometric progression is a sequence of numbers such that the ratio of two consecutive numbers is the same for whole sequence.

This ratio is common ratio.

The given geometric sequence is 3, -24, 192, ...

First term = 3

Common ratio of the given sequence = -24 / 3 = -8

nth term of a geometric sequence is given by,

Aₙ = a rⁿ⁻¹, where a is the first term and r is the common ratio.

Here a = 3 and r = -8

Aₙ = 3 (-8)ⁿ⁻¹

    = 3 (-8ⁿ / -8)

    = -3/8 (-8ⁿ)

Hence Aₙ =  -3/8 (-8)ⁿ is the nth term.

Learn more about Geometric Progression here :

https://brainly.com/question/12213438

#SPJ1

$79333

\(salary:x\)

\(12\%x=8500\)

\(x=8500\div 12\%\)

\(x=70833\)

\(70833+8500=\$79333\)

I hope this helps you

:)

x ≤ 3

Step-by-step explanation:

4x ≤ 12

divide each side by 4

x ≤ 3

Remember that a dilation stretches or compresses an object based on a given scale factor, therefore, the correct option is C

The ball reached its maximum height at a time of 1 second.

In this problem we have the case of a ball that experiments a free fall, that is, a case of an uniform accelerated motion due to gravity. The position of the ball as a function of time is represented by a quadratic equation:

y' = y + v · t + 0.5 · g · t²

Where:

And to determine the time related to the highest point, we need to rearrange the expression into its standard form:

y' - k = C · (t - h)²

Where:

First, write the quadratic equation:

y' = y + v · t + 0.5 · g · t²

y' = 10 + 16 · t - 8 · t²

Second, complete the square until the standard form is found:

y' - 10 = 16 · t - 8 · t²

y' - 10 = - 8 · (t² - 2 · t)

y' - 18 = - 8 · (t² - 2 · t + 1)

y' - 18 = - 8 · (t - 1)²

The ball takes a time of 1 second to reach its maximum height.

To learn more on quadratic equations: https://brainly.com/question/17177510

#SPJ1

Answer:

837.8 ft²

Step-by-step explanation:

The formula for the volume of a cone of base radius r and height h is

V = (1/3)(base area)(height), which here is:

V = (1/3)(π·8² ft²)(12.5 ft), or

V  =  (π/3)(64 ft²)(12.5 ft) = 837.8 ft²

Answer:

9 laps

Step-by-step explanation:

75% of something is the same as three-fourths, or multiplying by 0.75

12 x 0.75 = 9

or you can divide by 4 and then multiply by three if you know what to separate the original number into

12/4 = 3     3 x 3 = 9

The temperature increase in degrees Fahrenheit that is equivalent to a temperature increase by 10 degrees Celsius is 50 degree Fahrenheit.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.

As we know:

F = 32 + 1.8C

We have C = 10 degree Celsius

F = 32 + 1.8×10

F = 50 degree Fahrenheit

Thus, the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase by 10 degrees Celsius is 50 degree Fahrenheit.

Learn more about the unit conversion here:

brainly.com/question/14350438

#SPJ2

Answer:

x³ + 3x² + 3x + 2

Step-by-step explanation:

Given

(x + 2)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x + 1) + 2(x² + x + 1) ← distribute both parenthesis

= x³ + x² + x + 2x² + 2x + 2 ← collect like terms

= x³ + 3x² + 3x + 2

The derivative of a function may be used to find the function is increasing and decreasing.so first we will derivative of function.Then we can know function is increasing or decreasing.

The rate of change of a function with respect to a variable is called derivative of function.We know that f′ carries important information about the original function f. The derivative of a function of a real variable measures the sensitivity to change of a quantity which is determined by another quantity.

To determine the increasing and decreasing intervals.we use the first-order derivative test to check the sign of the derivative in each interval. The interval is increasing if the value of the function f(x) increases with an increase in the value of x and it is decreasing if f(x) decreases with a decrease in x.

Now we get

\(f_{1}\)(x)>0  at each point in an interval then function is increasing.

\(f_{1}\)(x) <0 at each point in an interval then function is decreasing.

To know more about function is increasing or decreasing visit;

https://brainly.com/question/14330051

#SPJ4

Answer:

3.7001 × 10 to the power of 4 is the answer for #1

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

If a patient presents to the emergency room (ER) with apparent chest pain, the recommended course of action if the cardiac marker (myoglobin) is negative is to monitor and hold the patient; repeat for myoglobin in 2 hrs. Patients with chest pain who present to the emergency room (ER) undergo a thorough diagnostic process.

If the cardiac marker (myoglobin) is negative, the recommended course of action is to monitor and hold the patient; repeat for myoglobin in 2 hrs. It is preferable to repeat the myoglobin test after 2 hours rather than 4 hours since the myoglobin test may be negative during the first few hours of a heart attack. If the myoglobin level is found to be negative again after two hours, the doctor may decide to release the patient and send them home after monitoring their vital signs. The CK-MB (creatine kinase-MB) test and the troponin I test are two other cardiac markers that can help diagnose a heart attack. When the myoglobin test is negative, these tests may be ordered on the same sample that was drawn initially.

However, if the CK-MB and troponin I tests are not ordered on the initial blood sample, they can be drawn after the patient is admitted to the hospital and undergo further tests, especially if their symptoms persist or worsen. Hence, the recommended course of action for a patient who presents to the ER with apparent chest pain and a negative myoglobin test is to monitor and hold the patient, repeat for myoglobin in 2 hrs.

To know more about myoglobin visit-

https://brainly.com/question/32820459

#SPJ11

Answer:

They are 9, 5 and 8

Step-by-step explanation:

Answer:

\(x = 15 \: \: .....(5(15)- 14) = 61\)

\((9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15\)

The fraction that is equivalent to a terminating decimal between 0.25 and 0.50 will be 2/5.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.

The decimal numbers are 0.25 and 0.50.

The decimal number that comes between the decimal numbers 0.25 and 0.50 will be an infinite number. Let the number be 0.40 which comes between the numbers 0.25 and 0.50.

Convert a decimal number into a fraction number. Then we have

0.40 = 0.40 x 10 / 10

0.40 = 4 / 10

0.40 = 2 / 5

The fraction that is equivalent to a terminating decimal between 0.25 and 0.50 will be 2/5.

More about the fraction number link is given below.

https://brainly.com/question/78672

#SPJ1

The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12

An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.

To evaluate the integral:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)

We can integrate each term of the polynomial separately using the power rule of integration, which states that:

\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)

where C is the constant of integration.

So, we have:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)

Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):

\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)

Simplifying:

\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)

\($ = -\frac{1}{12} $\)

Therefore,

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)

To learn more about substituting visit:

https://brainly.com/question/10423146

#SPJ11

Answer:

$90

Step-by-step explanation:

c = 50 + .2m

c = 50 + .2(200)

c = 50 + 40

c = 90

Answer: D

Step-by-step explanation: y=mx+b

b is -2 because when x is 0, y is -2.

"Rise-over-run" is really helpful in this problem, because with every +1 y value, the x value is increased by two, making the slope 1/2.

Therefore making the equation y=1/2x -2

Answer:

Use the slope equation to solve: \((Y_{2} - Y_{1} ) / (X_{2} - X_{1})\)

Pick any two points: (2, -1), (0, -2)

(-2 - -1) / (0 -2)

(-2+1) / (-2) = 0.5

The slope, m, is 0.5

The y-intercept is when x=0, so it is -2

y-intercept = b

The equation is y=mx+b

y=0.5x - 2

y= 1/2x - 2

The answer is D.) y= 1/2x - 2

\(\tt Step-by-step~exlpanation:\)

To find out the answer, we would have to try and divide all the numbers.

\(\tt \frac{34,776}{2}= 17,388\\ YES\)

\(\tt \frac{34,776}{3}= 11,592\\YES\)

\(\tt \frac{34,776}{9}=3,864\\ YES\)

\(\tt \frac{34,776}{6}= 5,796\\YES\)

\(\large\boxed{\tt Our~final~answer:~ALL ~(2,3,9,6)}\)

Answer:

Step-by-step explanation:

A. Let x be the mass of 1 slice of cheese.

B. The difference in the masses of 1 slice of cheese and 1 cracker is:

x - 3.25 grams

C. Since one package contains 16 slices of cheese, the total mass of the package is:

16x

According to the problem, the mass of one cracker is 18 grams less than the mass of one slice of cheese. Therefore, we can write:

x - 18 = 3.25 + m/16

where m is the mass of the package of 16 slices of cheese.

Simplifying the equation:

x = 3.25 + m/16 + 18

x = m/16 + 21.25

This equation represents the relationship between the masses of 1 cracker and 1 slice of cheese in terms of the mass of a package of 16 slices of cheese.

Answer:

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Step-by-step explanation:

Answer:

The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

Step-by-step explanation:

Natural Numbers are known as 1, 2, 3, 4, ..., ∞

Now,

For Cube of first six natural numbers

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Thus, The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

-TheUnknownScientist