How many solutions are in the equation and are they imaginary or real?
9x^2- 3x - 8= -10

Answer:

72

Step-by-step explanation:

The total no of outcomes of an experiment is given by :

N = n₁× n₂ ×n₃ ×....

Where,

n₁,n₂,n₃... are possible outcomes in step 1,2,3 and so on

In this problem, there are 3 steps.

n₁ = 6, n₂ = 3, n₃ = 4

Total number of possible outcomes = 6(3)(4) = 72

Hence, there are 72 possible outcomes.

Answer:

64 feet squared

Step-by-step explanation:

Multiply the dimensions (4*16) and that will give you 64)

Hope it helps :>

[MARK BRAINLIEST :) ]

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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Let's begin by listing out the information given to us:

MARILYN (total, t) = 7 letters

At random implies every letter has an equal chance of being chosen

Number of trials (r) = 5 times

Number of "M" (n) = 1

Probability of choosing "M" once is given by:

what is the probability that the M is chosen exactly three times in five separate trials?

Of the 5 trials: 3 times "M" is picked, 2 times "other letters" are picked

Explanation:

The relative frequency of an outcome is the number of times you get this outcome divided by the number of times the experiment was repeated:

To find it as a percentage we just have to multiply by 100:

Answer:

42.5%

Answer:

a total of 11700 senconds are on 3.25 hours

Answer:

x=22.8 inches

I think T__T

Step-by-step explanation:

YES... SOMETHING I KNOW!

Use Pythagorean theroy

say 42.7=a

48.4=b

x=c

the formula is: a^2+c^2=b^2

so: 42.7^2+x^2=48.4^2

if we simplify:=1823.29+x^2=2342.56

then:519.27=x^2

It says, round to the nearest TENTH

x=22.787497

so then x would be

22.80

Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

The value of missing x = 5

The value of missing y = 17 / 3

The standard line equation, y = mx + b, or the slope formula, m = (y2 - y1)/(x2 - x1), can both be used to find the slope, m.

According to the given information

Let two points be \((x_{1} , y_{1} )\) and \((x_{2} , y_{2} )\) are ( 3 , 8 ) and ( 6 , 15 )

Slope of the two points = \(\frac{y_{2}- y_{1} }{x_{2} -x_{1} }\)

                                       = \(\frac{15-8}{6-3}\)

                                       = 7 / 3

Let the equation passing through points  ( 3 , 8 ) be

\(( y - y_{1}) = m(x - x_{1})\)

y - 8 = 7/3( x - 3 )

3y - 24 = 7x - 21

3y = 7x - 21 + 24

3y = 7x + 3

When x = 2

3y = 14 + 3

y = 17 / 3

When y = 38/5

114/3 = 7x + 3

7x = 114/3 - 3

21x = 114 - 9

x = 5

So

The value of missing x = 5

The value of missing y = 17 / 3

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Answer:

1

Step-by-step explanation:

1.  One way to do this is converting both into improper fractions.  To do this, multiply the whole number by the denominator and add that to the numerator.

2 3/5 --> 2*5 is 10 --> 10+3 is 13.  --> 13/5

2.  This leaves us with 13/5 - 8/5

3.  Subtract the numerators

13/5 - 8/5 = 5/5

4.  Simplify.  If the numerator is the same number as the denominator, it's a whole number.

5/5 = 1

Answer:

C. is your answer

Step-by-step explanation:

Answer: To determine which expression is equivalent to 3√/8x²y³ z^4, we need to simplify the given expression and compare it with the options.

First, we can simplify the cube root:

3√/8x²y³ z^4 = (3/8)x^(2/3)y^(1/3)z^(4/3)

Now, we can compare this expression with the options:

A. 2x^(3/2)YZ^(3/4) is not equivalent to the simplified expression because the exponent of x is different (3/2 vs 2/3)

B. 2x^(2/3)YZ^(3/4) is equivalent to the simplified expression. The exponents of x, y and z are the same and the coefficient is also the same

C. 2z/x is not equivalent to the simplified expression because it has different variables and exponents

D. 2x/z is not equivalent to the simplified expression because it has different variables and exponents

Therefore, the expression that is equivalent to 3√/8x²y³ z^4 is B. 2x^(2/3)YZ^(3/4)

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

The value of cos C x sin A is 3/2.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

AB = 1

AC = 2

BC = √3

Now,

∠B = 90°

∠A = 60°

∠C = 180 - (90 + 60) = 180 - 150 = 30°

cos C = cos 30° = √3 / 2

sin A = sin 60° = √3/2

Now,

Cos C x Sin A

= √3/2 x √3 / 2

= 3/2

Thus,

The value is 3/2.

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b equal for the top of the bookcase to have the correct area= 5 cm2

A solid object's surface area is a measurement of the total area that the surface of the object takes up.

The definition of arc length for one-dimensional curves and the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces.

A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere.

This definition of surface area uses partial derivatives and double integration and is based on techniques used in infinitesimal calculus.

Henri Lebesgue and Hermann Minkowski at the turn of the century sought a general definition of surface area.

L × b = 300

b = 300 / L

b = 300 / 60 = 5

Hence, b equal for the top of the bookcase to have the correct area= 5 cm2.

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Answer:

percentage profit = 150%

Step-by-step explanation:

percentage profit = sp - cp/cp * 100

sp is the selling price = 60000

cp is the cost price = 24000

percentage profit = 60000-24000/24000 * 100

percentage profit = 36000/24000 * 100

percentage profit = 36000/240

percentage profit = 150%

Answer:

-8

Step-by-step explanation:

6(2) = 12

5(4) = 20

12-20

-8

Answer:

44

Step-by-step explanation:

(6x4)+(5x4)= 44

Answer:

30.6 if im wrong someone correct me in comments and explain why

Step-by-step explanation:

I multiplied 2.3 by 4.5 and got 10.35 then divided it by 2 and got 5.175 and multiplied it by 2 and got 10.35 then I multiplied 4.5 by 4.5 and got 20.25 and added it to 10.35 and got 30.6

Easier way just add the two lengths and multiply it by height

Answer:

Tangent ratio is the ratio of opposite side to adjacent side of a right triangle. Same as the sine and cosine ratios, tangent ratios can be used to calculate the angles and sides of right angle triangles.

Step-by-step explanation:

Answer:peppers

Step-by-step explanation:

Answer:

peppers for $1.62 per pound

Step-by-step explanation:

i took the test

The value of x from given parallel lines is 2.

In the given figure, three lines are parallel and two lines are passing through.

When three or more parallel lines are cut by two transversals, the line segments formed are proportional.

That is, 2x/x = (x+4)/(4x-5)

2/1 = (x+4)/(4x-5)

2(4x-5)=1(x+4)

8x-10=x+4

8x-x=4+10

7x=14

x=2

Therefore, the value of x from given parallel lines is 2.

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By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

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Answer:

Step-by-step explanation:

By the center angle theorem:

WE get:

Angle ABC = 0.5 * Angle AOC

Angle ABC = 28 degrees

Hope that helps

1^n 2^n ... (p-1)^n is congruent to 0 or -1 mod p depending on n. This statement is known as Fermat's Little Theorem.

Fermat's little theorem is identical to the assertion that ap 1 1 is an integer multiple of p if an is not divisible by p, that is, if an is coprime to p. If a = 2 and p = 7, For example, if a = 2 and p = 7, then 26 = 64, and 64 − 1 = 63 = 7 × 9 is thus a multiple of 7.

According to Fermat's Little Theorem

It states that if p is a prime and a is an integer not divisible by p, then a^(p-1) is congruent to 1 modulo p.

If n is even, then (p-1)^n is congruent to 1^n (mod p), so the product is congruent to 1 mod p.

If n is odd, then (p-1)^n is congruent to -1 (mod p), so the product is congruent to -1 (mod p).

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Answer:

3/6

Step-by-step explanation:

i think

Answer:

~

Step-by-step explanation:

To make it easier to graph using a translation, we can rewrite the given equation as:

y - 5 = √√4x + 16

This is obtained by subtracting 5 from both sides of the equation.

The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.

Answer:

Using Pythagorean theoram-

a^2 + b^2 = d^2 (Hypotenuse)

23^2 + 29^2 = c^2

1370 = d^2

d = √1370

d= 37.01

Hope it helps!