Five times a number is 65. What is the number?
13
60
70
325

Answer:

x² + y² = 17

Step-by-step explanation:

The standard  equation of a circle is :

(x -h)² + ( y -k) ²= r², where (h, k) are the a coordinate of the center of the circle and r is the radius of the circle

If the end point of diameter has the coordinates (-4,-1) and  (4,1)​ then the center is at the origin so we have (h= 0, k= 0)

The radius is half of the diameter so is the distance form (0,0) to (4, 1).

We can use Pythagorean Theorem to find r²

r ² = 4²+1² =  17

(x -h)² + ( y -k) ²= r², substitute what we found out

(x -0)² + ( y -0) ²= 17

x² + y² = 17

This is the equation of the circle given characteristics end point of diameter (-4,-1) , (4,1)​

An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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Answer:

c

Step-by-step explanation:

C hope this helps

Answer:

Step-by-step explanation:

You have to get more than 460 Dollars

to get the surfboard with the money you have

so you can get it in only 26 Weeks / About 6 Months / 182 Days / Half a Year

Hope this helps! <3

Answer:

I can't answer the first par I'm sorry but i can answer the second part

Step-by-step explanation:

my favorite song has to be swim or right here by chase atlantic or at least my 2 favorite songs i'm listening to by them

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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Answer:

Already answered on the other one

Step-by-step explanation:

#1

\(\\ \rm\Rrightarrow (gof)(-1)\)

\(\\ \rm\Rrightarrow g(f(-1))\)

\(\\ \rm\Rrightarrow g(2(-1)^2-(-1))\)

\(\\ \rm\Rrightarrow g(2+1)\)

\(\\ \rm\Rrightarrow g(3)\)

\(\\ \rm\Rrightarrow 3+1\)

\(\\ \rm\Rrightarrow 4\)

#2

\(\\ \rm\Rrightarrow (fog)(-1)\)

\(\\ \rm\Rrightarrow f(g(-1))\)

\(\\ \rm\Rrightarrow f(-1+1)\)

\(\\ \rm\Rrightarrow f(0)\)

\(\\ \rm\Rrightarrow 2(0)^2-0\)

\(\\ \rm\Rrightarrow 0\)

#3

\(\\ \rm\Rrightarrow (gof)(x)\)

\(\\ \rm\Rrightarrow g(f(x))\)

\(\\ \rm\Rrightarrow g(2x^2-x)\)

\(\\ \rm\Rrightarrow 2x^2-x+1\)

#4

\(\\ \rm\Rrightarrow (fog)(x)\)

\(\\ \rm\Rrightarrow 2(x+1)^2-x\)

\(\\ \rm\Rrightarrow 2(x^2+2x+1)-x\)

\(\\ \rm\Rrightarrow 2x^2+4x+2-x\)

\(\\ \rm\Rrightarrow 2x^2+3x+2\)

#5

No they are not equal

Answer:

Step-by-step explanation:

1 white 1 green 1 blue + 2 reds = 5 balls

5 seen as a percentage

5%

The length of the hypotenuse of the triangle is 6√3 inches

Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

The given parameters are:

Angle, θ = 60°

Shortest side = 3√3

The attached diagram illustrates the right triangle, From the diagram, we have:

cos(θ) = Shortest/Hypotenuse

This gives

cos(60°) = 3√3/Hypotenuse

This gives

Hypotenuse = 3√3/cos(60°)

Evaluate cos(60°)

Hypotenuse = 3√3/0.5

Evaluate the quotient

Hypotenuse = 6√3

Hence, the length of the hypotenuse of the triangle is 6√3 inches

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The complete question is given below.

The shortest side of a right triangle measures 3V3 inches. One angle of the triangle measures 60°. What is the length in inches, of the hypotenuse of the triangle?

When it rains at the same rate for 15 more minutes, the fraction of the rain gauge that will be filled is 2/15.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split.

From the information, after raining for 3/4 of an hour, a rain gauge 2/5 of the way full. It's important to note that 3/4 is (3 × 1/4).

Therefore, we will divide 2/5 by 3 and this will be:

= 2/5 ÷ 3

= 2/5 × 1/3

= 2/15

This is the value of the rain gauge.

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The graph that shows the following system of equations and its solution is graph number C

A graph is the graphical representation of equations on a graph sheet

The given equations are

-4x-3y=4

4x-y=-4 Solving the equations

In equation 1

When x = 0

-3y = 4

y=-4/3                  (0, -4/3)

When y = 0

-4x = 4

x= -1            (-1, 0)

In equation 2 when x = 0

-y = -y = 4             (0, 4)

When y = 0

4x=-4 x=-1              (-1, 0)

When these coordinates are used to plot the graph, graph number is is obtained.

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Answer:

For a rectangle of length L and width W, the area is:

A = L*W

In this case, we know that;

The length is 18ft more than the width.

L = W + 18ft

The area is 175 ft^2

Then:

A = 175 ft^2

Then we have a system of two equations:

L = W + 18ft

A = L*W = 175 ft^2

To solve this, the first step would be to replace the first equation into the second one:

(18ft + W)*W = 175ft^2

Now we can solve this for W.

18ft*W + W^2 - 175ft^2 = 0.

This is the quadratic equation, i will solve it just to be complete.

We have a quadratic equation, using the Bhaskara formula we can find the two solutions as:

\(w = \frac{-18ft +- \sqrt{(18ft)^2 - 4*1*(-175ft^2)} }{2*1} = \frac{-18ft +- 32ft}{2ft}\)

Then the two solutions are:

W = (-18ft - 32ft)/2 = -25ft    (This option can be discarded, because a                negative width has no sense)

W = (-18ft + 32ft)/2 = 7ft

Then the width is 7ft long, and the lenght will be:

L = W + 18ft = 7ft + 18ft = 25ft

Answer:          D. 8x² + x + 3

Sum means the answer to an addition problem. To find the sum of polynomials, we will add like terms.

Like terms can be combined using addition or subtraction and have the same variables. Constants are also like terms with each other because they have no variables.

(4x² + 1) + (4x² + x + 2)      Starting equation from the question

= 4x² + 1 + 4x² + x + 2       Remove brackets

= 4x² + 4x² + x + 1 + 2       Rearrange to group like terms together

= 8x² + x + 1 + 2                Add like terms with the same 'x²' variables

= 8x² + x + 3                     Add like terms that are constants

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Answer:

3908i is a pure imaginary number.

Step-by-step explanation:

Given that, a number is 3908i

We have to find the type of number which it belongs to from the given set of options

If we observe the number clearly, we can see the “i” behind the number 3908, where “i” value is square root of ( - 1 ).

We know that, “i” is not real, so 3908i is also not real.

And it has other operation like a + bi or a – bi

So, it is just imaginary number but not a complex number.

Hence, the given number is pure imaginary number

Answer:

complex and imaginary

Step-by-step explanation:

Imaginary number contain the letter i in order for them to be recognized

Answer:

look here

Step-by-step explanation:

465=150+150+150+15

150=10*15

15=1*15

10+10+10+1=31

If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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Answer:

x = 16

Step-by-step explanation:

subtract 12 from both sides to isolate the variable and its coefficient

4x = 64

divide both sides by 4 to get x

x = 16

Answer:

x = 16

Step-by-step explanation:

4x+12=76

Step 1: Subtract 12 from both sides.

4x + 12 - 12 = 76 - 12

4x = 64

Step 2: Divide both sides by 4.

\(\frac{4x}{4} = \frac{64}{4}\)

x = 16

Answer:b

Step-by-step explanation:

Answer:

It is b because it just makes the most scence

Question:

Solution:

Let x represent the first number and y represent the second number, according to the problem, we get the following two equations:

Equation 1: the sum of two numbers is 70:

and

Equation 2: The first number is 2/5 of the second number :

Then, we can conclude that the correct system of equations that represent the problem is:

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Answer:

Hint: everything in that big [] is to the power of zero. anything to the power of zero is one. so

1+(6-8)=?

Answer:

Step-by-step explanation:

it a it the one  that makes the most sense

Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

Answer:

1) 9x

2) 3b

3) 3m

4) 5a

5) 7x

6) 3a + 5b

7) 9x - 4

8) 2b + m

9) 13a + b + 6c

10) 9b + 1

11) 7p

12) 2a + b -10

Step-by-step explanation:

Answer:

B

This is the confirm answer i did this in my exam today

The value of [r] will be 5 units.

Given is a line segment as shown in the image.

We can write the equation as -

(4r - 3) + (r + 7) = 29

4r + r - 3 + 7 = 29

5r + 4 = 29

5r = 25

r = 5

Therefore, the value of [r] will be 5 units.

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The addition of the given polynomials would be x³+ y³ -3x²y + 2y² + x.

What is the addition of polynomials?

Adding polynomials is defined as adding the like terms of two or more algebraic expressions while keeping their sign. It's very similar to a standard addition operation.

The given polynomials are = x³-3x²y + 3y²-y² and x + y³.

Now take addition, we get

         = x³-3x²y + 3y²-y² + x + y³

Adding like terms, we get

         = x³-3x²y + 2y² + x + y³

Arranging the terms, we get

         = x³+ y³ -3x²y + 2y² + x

Hence, the addition of the given polynomials would be x³+ y³ -3x²y + 2y² + x.

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The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.

Option A is the correct answer.

We have,

The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.

Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.

And,

The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.

Therefore,

The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.

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Answer:

i domisa

Step-by-step explanation: