x/4+6=12
What does x represent?

Answer:

V =134.4 ft^3

Step-by-step explanation:

Volume is

V = l*w*h

V = 7*4*4.8

V =134.4 ft^3

The number of different sets of three points of this grid can be the three vertices of an isosceles triangle is 36.

An isosceles triangle is one with two equal sides. The two angles that face the two equal sides are also equal. An isosceles triangle, in other words, is a triangle whose two sides are equal in length.

By using the Permutation formula,

Number of isosceles triangle to be formed is,

9!/(7!x2!) = 9x8x7!/7!x2!

= 9x8/2

= 36

So number of isosceles triangle that can be formed of this 3-by-3 grid is 36.

When a square is described as a 3 x 3 Magic square, it has three rows and three columns. An illustration of a 3 by 3 magic square with the magic constant.

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Answer:

17/-11

Step-by-step explanation:

why,because reciprocal in mathematics means changing the numerator to the denominator and denominator to numerator.

HOPE THIS HELPS

Answer:

Python will return:

True

Step-by-step explanation:

The math function ** is an exponent indicator.

The equation you made was:
\(2^2 =4\)

When you run this in python, it will return as true.

It is run as a Boolean expression because you have already provided the answer to the expression with the "==" statement.

If you had provided an incorrect answer (setting it equal to any number other than 4), it would return False.

Answer:

34

Step-by-step explanation:

1. Add 6 and 5 and that multiplies with 8 which would be 88

2. Then divide by 4, leaving you with 22.

3. Add that with 6(2), 12, and that gives you 34

When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

Answer:

(a) 3d=81

(b) 27

Step-by-step explanation:

every day, kojo write 3 pages

number of days he has written his story= d days

therefore number of pages he has written= 3d

from the final sentence,

3d= 81

(b) number of days kojo has been writing his story

3d= 81

dividing through by d

3d/3= 81/3

d = 27

Answer:

0.672 is rational because it is a terminating decimal.

Answer:

17.2ft

Step-by-step explanation:

just add

11.4+5.8=17.2

Answer:

$7.35

Step-by-step explanation:

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

\(Answer: \large\boxed{Cos(\theta_{1} )=\frac{84}{85}}\)

Step-by-step explanation:

Thinking about a triangle in Quadrant IV, we can imagine sin as opposite/hypotenuse. Therefore, the hypotenuse is 85 and the opposite angle is -13. To find the adjacent angle, we use the pythagorean theorum,

\(a^2+b^2=c^2\)

\(-13^2+b^2=85^2\)

\(169+b^2=7225\)

\(b^2=7056\)

\(b=\sqrt{7056}\)

\(b=\pm84\)

Taking only the positive number, the adjacent angle is 84

Now that we have all 3 sides, we can find the cosine.

Cosine is adjacent/hypotenuse

Therefore,

\(Cos(\theta_{1} )=\frac{84}{85}\)

See the attached picture:

The measure of angle x of the right angled triangle is x = 22°

Given data ,

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

Now , the angle ∠ABC = 90° ( given )

So , the measure of ∠68° + x° = 90°

Subtracting 68° on both sides , we get

x = 90 - 68

x = 22°

Hence , the angle is x = 22°

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The congruent angles, ∠ACD and ∠BCD formed by the angle bisector \(\overline{DC}\) the congruent segments \(\overline{AC}\) and \(\overline{BC}\), and the segment \(\overline{DC}\) (congruent to itself, indicates that ΔACD ≅ ΔBCD by SAS

The SAS (Acronym for Side-Angle-Side) congruency rule states that two triangles, A and B are congruent if two sides and an included angle of the triangle A are congruent to the two sides and an included angle of the other triangle B.

The specified information are;

The bisector of ∠ACB = \(\overline{DC}\)

Segment \(\overline{AC}\) ≅ \(\overline{BC}\)

Required; to prove that ΔACD ≅ ΔBCD

The two-column method can be used to prove the congruency of the triangles as follows;

Step     \({}\)             Statement            \({}\)        Reasons

1.  \({}\)                    \(\overline{DC}\) bisects ∠ACB          Given

                 \({}\)      \(\overline{AC}\) ≅ \(\overline{BC}\)

2.  \({}\)                  ∠ACD ≅ ∠BCD              Definition of bisected angles

3.                \({}\)    \(\overline{CD}\) ≅ \(\overline{CD}\)                       Reflexive property of congruency

4. \({}\)                   ΔACD ≅ ΔBCD               SAS congruency rule

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The value of the integral ∫(4r / √(14+2r^2)) dr is 2√(14+2r^2) + C.

To evaluate the integral ∫(4r / √(14+2r^2)) dr, we can use the substitution method. Let's make the substitution u = 14 + 2r^2. To find the differential du, we take the derivative of u with respect to r: du = 4r dr. Rearranging this equation, we have dr = du / (4r).

Substituting the values into the integral, we get: ∫(4r / √(14+2r^2)) dr = ∫(du / √u).

Now, the integral becomes ∫(1 / √u) du. We can simplify this integral by using the power rule of integration, which states that the integral of x^n dx equals (x^(n+1) / (n+1)) + C, where C is the constant of integration.

Applying the power rule, we have: ∫(1 / √u) du = 2√u + C. Substituting the original variable back in, we have:2√(14+2r^2) + C. Therefore, the value of the integral ∫(4r / √(14+2r^2)) dr is 2√(14+2r^2) + C.

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Is that all the information given? Does it say how much does each individual stamp cost?

Answer:

x = 7

Step-by-step explanation:

Given

y = 5x - 3 ← equate 5x - 3 to 32

5x - 3 = 32 ( add 3 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7 ← input

Answer:

x=7

Step-by-step explanation:

y=5x-3

y = 32

32 = 5x- 3

Add 3 to each side

32+3 = 5x-3+3

35 = 5x

Divide by 5

35/5 = 5x/5

7 =x

Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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Answer:

Function A: f(x) = -8^x

Function B: f(x) = 2^x

Function A has a greater horizontal asymptote. As x approaches negative infinity, Function A approaches y = 0 faster than Function B.

Answer: D plz mark me brainliest (tap the crown on the bottom right of an answer)

Step-by-step explanation: it has to be D because it can't be larger then 4

The inequality by solving the given equation of 4.5a < 18 will be a<4 . Then the correct option will be (D).

A difference between two values indicates whether one is smaller, larger, or otherwise not identical to the other.

Equations are not always balanced on both sides by using equal symbols in mathematics. Sometimes it can be about something like a not equal relationship, meaning that something is preferable to or lower than the next.

In another word, inequality is mean that if a number is not equal to the other number then it will be unequal and the constraint of this will make an inequality.

Given that

⇒ 4.5a < 18

⇒ a < 18/4.5

⇒ a<4  hence, the correct option is a <4.

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The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.

The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.

Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.

Given, Ramon is graphing the function f(x) = 3 + (4)x.

We know the initial value of a function is determined when the independent variable is set to zero.

Here the independent variable is 'x'.

Now, at x = 0,

f(0) = 3 + (4)(0).

f(0) = 3.

So, The ordered pair is (0, 3).

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Answer:

a

Step-by-step explanation:

which is an iterative method that can find roots of a polynomial equation given an initial approximation.

According to the fundamental theorem of algebra, how many zeros does the function f(x) = 17x^15 + 41x^12 + 13x^3 − 10 have?The fundamental theorem of algebra states that every polynomial function has at least one zero or root. A polynomial function of degree n can have at most n roots or zeros, so the answer to this question will be less than or equal to the degree of the polynomial. Here, f(x) is a polynomial of degree 15. Therefore, f(x) can have at most 15 zeros or roots.We cannot use the Rational Zeroes Theorem, because the coefficients of f(x) are not integers. However, we can use technology (like a graphing calculator) or numerical methods to approximate the roots.

The number of zeros the function has, however, cannot be determined without approximation.The correct answer is:long answer:According to the fundamental theorem of algebra, every polynomial equation of degree n (where n is a non-negative integer) has exactly n roots. In other words, the polynomial equation f(x) = 17x^15 + 41x^12 + 13x^3 − 10 has exactly 15 roots, counting multiplicity.Since the polynomial f(x) has no rational roots (i.e., roots that can be expressed as a fraction of integers), it cannot be factored using integer coefficients. This makes it difficult to determine the roots of the polynomial analytically.

However, we can use numerical methods or technology to approximate the roots of the polynomial. One such method is to use the Newton-Raphson method, which is an iterative method that can find roots of a polynomial equation given an initial approximation.

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Answer:

4 + 4 + 2 = 10

3) 3/10 or 0.3

4) 2/10 = 1/5 or 0.2

5) 4/10 = 2/5 or 0.4

6) 2 + 4 + 0 = 6 so 6/10 = 3/5 or 0.6

i think its this. i hop i helped?

Step-by-step explanation:

If a miniature model of the pyramid is 3 inches wide. The volume of the model is 4.5.

Pyramids square bases  are twice as wide as they are tall

Model of pyramid=3 inches wide

First step is to find the model height

Let Model height=x

2 × height=weight

2x=3

x=3/2

x=1.5

Second step is to calculate the volume of model:

Volume of model=3×3×1.5×1/3

Volume of model=4.5

Therefore the volume of the model is 4.5.

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The quadratic expression (x² + 2) is always positive for all real values of x, it cannot be equal to zero. Therefore, f(x) ≠ g(x) for all real values of x. This is how we can analytically prove that the graphs of f(x) = x² + x + 2 and g(x) = x - 2 do not intersect.

Let's assume that f(x) = g(x). This implies that;    

f(x) = g(x)

⟹x²+x+2=x−2  

Next, move x-2 to the left hand side of the equation and simplify:

x²+x+2−(x−2)=0

⟹x²+x+2−x+2=0

⟹x²+2=0

Since the quadratic expression (x² + 2) is always positive for all real values of x, it cannot be equal to zero. Therefore, f(x) ≠ g(x) for all real values of x. This is how we can analytically prove that the graphs of f(x) = x² + x + 2 and g(x) = x - 2 do not intersect.

The graphs of f(x) = x² + x + 2 and g(x) = x - 2 do not intersect. We can clearly see that f(x) and g(x) have different roots. The graph of f(x) is a parabola that opens upwards while the graph of g(x) is a straight line with a negative slope. Since these two functions have different shapes, they do not intersect for all real values of x. Therefore, the graphical illustration confirms the analytical proof.

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Answer:

Step-by-step explanation:

The system of equations is:

x^2 = y

x^2 + y^2 = 9

Substituting the first equation into the second, we get:

x^2 + (x^2)^2 = 9

x^4 + x^2 - 9 = 0

Using the quadratic formula, we can solve for x^2:

x^2 = (-1 ± sqrt(37))/2

Taking the positive root, we get:

x^2 = (-1 + sqrt(37))/2

Substituting this back into the first equation, we get:

y = (-1 + sqrt(37))/2

So the solution is the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2)

Looking at the graphs, only graph (d) contains the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2), so the answer is (d).

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QUESTION: Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9

    |     /|

    |    / |

    |   /  |

    |  /   |

    | /    |

    |/     |

_____|______|______

    |

    |

    |

    |

    |

    |

Answer:

3/4 of an inch

Step-by-step explanation:

The longest plant is 7/8 of an inch

The shortest plant is  1/8 of an inch

7/8 - 1/8 = 6/8

Simplifying = 3/4

Answer:

there

Step-by-step explanation:

Answer:

khan

Step-by-step explanation: