What is the equation of the line that passes through the point (5,-2) and has a
slope of -2/5

The correct answer will be 2/33.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Well, the problem is that he does not replace the first marble after he draws it.

Therefore, yes, he has a 2/12 probability of drawing a yellow marble first, but then he has a 4/11 probability of drawing a red marble second, not 4/12.

This is because there are going to only be 11 marbles left in the bag after he draws the first marble and does not replace it.

The correct answer would be:

(2/12)(4/11)

=8/132

=4/66

=2/33

Thus, the correct answer will be 2/33.

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Answer: C

Step-by-step explanation:

[tex]\sqrt{48x^{5}}=\sqrt{16x^{4}} \sqrt{3x}=\boxed{4x^{2}\sqrt{3x}}[/tex]

Answer:

the answer is 4 units im pretty sure

Step-by-step explanation:

The height of the prism is 6 units.

The correct option is C.

A prism is a polyhedron in three dimensions with two identical ends.

To find the height of the prism, we need to use the formula for the volume of a prism, which is:

Volume = Base area x Height

Since the prism has two congruent hexagonal bases, we can find the base area by adding the areas of the two congruent isosceles trapezoids.

The area of an isosceles trapezoid is given by the formula:

Area = ((b1 + b2) / 2) x h

where b1 and b2 are the lengths of the two parallel bases, and h is the height of the trapezoid.

In this case, the two parallel bases have lengths of 5 and 8, and the height of each trapezoid is 3, so the area of one trapezoid is:

Area = ((5 + 8) / 2) x 3 = 19.5 square units

The base area of the prism is then:

Base area = 2 x 19.5 = 39 square units

We are given that the volume of the prism is 234 cubic units, so we can use the formula for the volume of a prism to find the height:

Volume = Base area x Height

234 = 39 x Height

Height = 6 units

Therefore, the height of the prism is 6 units.

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Answer:

-10 x 2

10 x -2

5 x -4

4 x -5

20 x -1

-20 x 1

2 x 2 x -5

Step-by-step explanation:

Answer:

-1 x 20= -20

-20 x 1 = -20

-5 x 4= -20

-4 x 5= -20

-2 x 10= -20

-10 x 2= -20

-2 x 2 x 5 = -20

Step-by-step explanation:

use factors of 20

hope this hepled :)

1) Angles IDO and ILO are congruent, and both measure 122 degrees. So, as angles in a quadrilateral add to 360°, angle LOD measures 360-122-122-32=84°

2) As referred to in the first question, angle ODI measures 122°

3) In a kite, there are two pairs of disjoint congruent sides. This means that in this case, ID=IL=21 and LO=OD. As the perimeter is 74, this means LO=(74-21(2))/2=16

4) LI=ID, so ID=21

Step-by-step explanation:

yes right angle measure 90 degrees

mark me brainliest

The values of x are (4+k)/2 and 10. The value of the variable x in terms of y is x = y -4

These are equations that contains several equations and unknowns.

Given the following system of equation

x+y=4

x-y=k

Add both equation

x + x = 4 + k

2x = 4+k

x = (4+k)/2

For the equation  

x+y-z=8  

x-y+z=12

Add both equations

2x = 8 + 12

2x = 20

x = 10

The value of x from the equation is 10

Given the equations

x=3b

y = 2/6b+4,

______________

b = x/3

Substitute

y = 2/6(x/3)+4

y = x + 4

x = y - 4

Hence the value of the variable x in terms of y is x = y -4

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The value of cos θ is 3/5.

Trigonometric ratios can be used to determine the ratios of any two sides out of a total of three sides of a right-angled triangle in terms of the respective angles.

Here, given point on circle is (0.6, 0.8) or (3/5 , 4/5)

x - axis (base) = 3/5

y - axis (Perpendicular) = 4/5

Radius (Hypotenuse) = 1

Now, we know

cos θ = Base / Hypotenuse

cos θ = 3/5

Thus, the value of cos θ is 3/5.

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Corrected question :

Solution :-

>> 2 ( x + 6 ) = 10

Multiplying 2 into (x + 6),

>> 2 × (x + 6) = 10

>> 2x + 12 = 10

Transposing 12 to R.H.S. (Remember that sign would be changed to negative),

>> 2x = 10 - 12

>> 2x = -2

Dividing them,

>> x = -2 / 2

>> x = -1

Answer:

[tex]\displaystyle{x=e^5-6}[/tex]

Step-by-step explanation:

Given the equation:

[tex]\displaystyle{2\ln (x+6)=10}[/tex]

Divide both sides by 2:

[tex]\displaystyle{\ln (x+6)=5}[/tex]

Convert to exponential form using the property of:

[tex]\displaystyle{\ln M = N \to e^N = M}[/tex]

Henceforth, we will have [tex]\displaystyle{e^5=x+6}[/tex] then subtract both sides by 6:

[tex]\displaystyle{x=e^5-6}[/tex]

Answer: You didn't give any data about the cylinder

Step-by-step explanation:

The cylinder is just an extruded circle. To calculate the cylinder's volume you need to multiply its base circle by the cylinder's height.

To do that, get the circle's radius and square it. Multiply the squared radius by 3.14.

After that, multiply the result by the cylinder's height

Phrase D best describes the relationship indicated by the scatter plot. There is no correlation.

In an effort to demonstrate how much one variable is influenced by another, scatter plots are used to depict data points on a horizontal and vertical axis.

When there is no connection between two variables, it is called a zero correlation. For instance, there is no correlation between IQ level and the quantity of tea consumed.

Phrase D best describes the relationship indicated by the scatter plot. There is no correlation.

Hence option D is correct.

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Answer:

no correlation

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

Answer:

when multiply with exponents you add so

(3a^2b^7)(5a^3b^8)=15a^5b^13

Hope This Helps!!!

Step-by-step explanation:

(7+9)/(-5-5)= 16/-10= -8/5

y + 9 = -8/5(x - 5)

y + 9 = -8/5x + 8

y = -8/5x - 1

Answer:

(A) 6x³+8x² + 4x - 4, but only if my change is correct to 6x³5x² - 2 is correct.

Step-by-step explanation:

Is "g(x) = 6x³5x² - 2" meant to be g(x) = 6x³-5x² - 2?

If so, (f+g)(x) = 3x² + 4x - 6 - (6x³-5x² - 2)

(f+g)(x) = 3x² + 4x - 6 - 6x³+5x² + 2

(f+g)(x) = 6x³+8x² + 4x - 4

(A)

Answer:

(3^2(-2)^6)/5^4

Step-by-step explanation:

See attached image.

The name of an item that a person can only buy once in one's lifetime are:

These are known to be a product that one can buy and a person can use for a lifetime until they grow tired of using it.

Note that not all product can or need to last forever but there are a lot of products that can actually do. some of which are:

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Congruent triangles are exact copies of each other. The correct options are 1, 2, 3, and 4.

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes the length of line segment AB, and so on for others).

The following details about the two given congruent triangles TUV and WXY can be written,

[tex]\rm m\angle T = m\angle W \: or \: \: \angle T \cong \angle W\\\\\rm m\angle U = m\angle X\: or \: \: \angle U \cong \angle X \\\\\rm m\angle V = m\angle Y \: or \: \: \angle V \cong \angle Y \\\\\rm |TU| = |WX| \: \: or \: \: TU \cong WX\\\\\rm |VU| = |YX| \: \: or \: \: VU \cong VU\\\\\rm |TV| = |WY| \: \: or \: \: TV \cong TV[/tex]

Hence, the correct options are 1, 2, 3, and 4.

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Answer: A,,B, C, D

Step-by-step explanation:

If a radioactive substance remains 80% of the initial amount then the half life of the radioactive substance is 2.5 years.

Given 80% of the initial amount of a radioactive substance remains.

If after 1 year the value or weight of the radioactive substance remains 80% means the rate of disappearing is 20% per annum.

If we clearly observe then it is forming a geometric progression and the rate is 80%.

Geometric progression will be if we assume the initial quantity be 100

is:

100,80,64,.........

we have to calculate the value of years in the value of term is 0.

the value of nth term of a geometric progression is [tex]ar^{n-1}[/tex]

so,

r is 0.8

100*[tex]0.8^{n-1}[/tex]=0

[tex]0.8^{n-1}[/tex]=0

if we calculate this we will find n-1=11

n=12

So the full life of radioactive substance is 12 and the half life will be 6 years.

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Answer:

f(4) = 5

Step-by-step explanation:

The notation used for a point is (x,y). The first number is the x and the second number is the y.

In function notation, you have f(x) = y.

The input number, x, is in the parenthesis beside the f. The output, y is all by itself on the other side of the equal sign.

For the point (4,5), 4 is the x so it goes by the f. 5 is the y so it goes by itself on the other side of the equal sign.

f(4) = 5

The solution is :  f(4) = 5, the equation must be true.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

The notation used for a point is (x,y).

The first number is the x and the second number is the y.

In function notation, you have f(x) = y.

The input number, x, is in the parenthesis beside the f. The output, y is all by itself on the other side of the equal sign.

For the point (4,5), 4 is the x so it goes by the f.

5 is the y so it goes by itself on the other side of the equal sign.

f(4) = 5

Hence, The solution is :  f(4) = 5, the  equation must be true.

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The positive linear correlation is present in the scatter plot option first “positive” is correct.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\[/tex]

[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have given a scatter plot in the picture.

As we can see in the scatter plot the dots are not so close that the correlation between x and y will be weak.

If we draw a line of best fit the slope of the line will be positive, the correlation will be positive.

Thus, the positive linear correlation is present in the scatter plot option first “positive” is correct.

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Answer:

This point is not on the line, NOT TRUE

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

           b represents the y-intercept

where the format of a point is (x, y)

Given: y = 1/4x + 5, (−1, 6)

we can plug in the point (−1, 6)

6 = 1/4(-1) + 5

6 = -1/4 + 5

6 = 4.75

6 does not equal 4.75 so this point is not on the line

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[tex]\huge\color{red} {\boxed{\tt{A}}} \color{blue} {\boxed{\tt{N}}} \color{hotpink}{\boxed{\tt{S}}} \color{blueviolet}{\boxed{\tt{W}}} \color{fuchsia}{\boxed{\tt{E}}}\color{lavender}{\boxed{\tt{R}}}[/tex]

[tex] \red{ \star} \pmb{Diameter \: of \: the \: sphere = 7 m}[/tex]

[tex] \red{ \star} \pmb{Radius =\frac{7}{2} = 3.5 m}[/tex]

[tex] \pink{\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

[tex] \sf{Area \: available \: to \: motorcyclist \: for \: riding = Area \: of \: sphere}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 4πr^2}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 4*\frac{22}{7}*3.5*3.5}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 154}[/tex]

The area available to the motorcyclist for riding is 154 m²

Diameter of the sphere = 7m

[tex]{Radius =\frac{7}{2} = 3.5 m}[/tex]

Area available to motorcyclist for riding = Area of sphere

[tex]{= 4πr^2} \\ \\ {= 4*\frac{22}{7}*3.5*3.5} \\ \\ {= 154}.[/tex]

The area available to the motorcyclist for riding is 154 m²

average speed equals distance over time 100/80 will give you 5/4

The perimeter of the given isosceles triangle is; 725.77 units

We are given;

Area of Isosceles Triangle = 56 units squared

Base of Isosceles Triangle = ¹/₃h where h is height

Formula for area of triangle is;

A = ¹/₂bh

A = ¹/₂ * ¹/₃h * h

A = ¹/₆h²

Thus;

¹/₆h² = 56

h² = 56 * 6

h = √336 = 18.33

Thus, base =  ¹/₃√336

Length of hypotenuse = √((√336)² + (¹/₃√336)²)

Length of hypotenuse = √(336 + (336/9))

Length of hypotenuse = 373.33

Thus, Perimeter of Triangle = 2(373.33) + ¹/₃(√336)

Perimeter = 725.77 units

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Answer: C. Parabola

Definition: a parabola is a conic section in which it is mostly characterised of having a U-shape wherein it is symmetrical and an open plane curve.

Answer:

Step-by-step explanation:

Solution

This (after combining the top 2 fractions, is a 4 tier fraction.

1/4*3/4 = 3/16

So the question now becomes 3/16 ÷ 10/3

The rule for such a question is invert (turn up side down) the second fraction and multiply.

3/16 * 3/10                   Combine

(3*3)/(16* 10)          

9 / 160

0.05625

[tex]\bf{\dfrac{1}{4}\times\dfrac{3}{4}\div\dfrac{10}{3} }[/tex]

Multiply 1/4 by 3/4 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

[tex]\bf{\dfrac{1\times3}{4\times4}\div\dfrac{10}{3} \ \ \to \ \ \ Multiply.}[/tex]

Do the multiplications in the fraction 1 × 3 / 4 × 4.

[tex]\bf{\dfrac{3}{16}\div\dfrac{10}{3} }[/tex]

Divide 3/16 by 10/3 by multiplying 3/16 by the reciprocal of 10/3.

[tex]\bf{\dfrac{3}{16}\times\left(\dfrac{3}{10}\right) }[/tex]

Multiply 3/16 by 3/10 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

[tex]\bf{\dfrac{3\times3}{16\times10 } \ \ \to \ \ \ Multiply }[/tex]

Do the multiplications in the fraction 3 × 3 / 16 × 10

[tex]\bf{\dfrac{9}{160} \ \ \to \ \ Answer }[/tex]

[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]