(1.02)
Evaluate the following expression using the values given:
Find 3r2 – 5s + 6t if r = 2, s=-4, t = -1
O 38
O 26
O -2
O -14

Answer:

1) [tex] - \frac{4}{5} [/tex]

2) [tex] \frac{9}{8} [/tex]

Step-by-step explanation:

[tex] \frac{2}{5} - \frac{2}{3} = \frac{2 \times 3}{5 \times 3} = \frac{2 \times 5}{3 \times 5} = \frac{6}{15} - \frac{10}{15} [/tex]

[tex] \frac{6 - 10}{15} = - (10 - 6) = - 4[/tex]

[tex] = - \frac{4}{15} [/tex]

°■°■°■°■°■°■°■°■°■°

[tex] \frac{3}{4}+\frac{3}{8} [/tex]

[tex] \frac{6+3}{8} [/tex]

[tex] = \frac{9}{8} [/tex]

Answer:

(5;3)

Step-by-step explanation:

Give your answer both.

The distance between the points (5, 0) and (0, 3) is approximately 5.83095 units.

To find the distance between two points, we can use the distance formula:

Distance = √[tex]((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]

Given the points (5, 0) and (0, 3), we have:

[tex]x_1 = 5, y_1 = 0\\\\x_2 = 0, y_2 = 3[/tex]

Substituting these values into the formula:

Distance = √[tex]((0 - 5)^2 + (3 - 0)^2)[/tex]

Distance = √[tex]((-5)^2 + (3)^2)[/tex]

Distance = √(25 + 9)

Distance = √34

The exact distance between the points is √34, which is approximately 5.83095 when rounded to five decimal places.

So, the distance between the points is approximately 5.83095 units.

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Answer:

2:1.

Step-by-step explanation:

The area of a red  curved surface = 2πr^2.

The area of the yellow flat surface = πr^2.

This is the case for all the hemispheres.

Therefore the  required  ratio =  2πr^2 :  πr^2

= 2:1.

Step-by-step explanation:

J(-3,9)

k(-10,9)

L(-10,4)

M(-3,4)

Answer:

x = 5

Step-by-step explanation:

Sum of angles = 180, so

60 + 80 + 8x = 180

140 + 8x = 180

8x = 180 - 140 = 40

x = 40/8 = 5

Answer:

Area of the square:

Area of the circle:

Probability of landing in the shaded region:

Answer:

78.5%

Step-by-step explanation:

We can find the area of both shapes then divide to find the probability.

Square area:

40 * 40 = 1600ft²

Circle area with diameter [ 1/4πd² ]:

1/4π(40)²

1/4π(1600)

0.785(1600)

1,256

Now divide both areas to find the probability.

1256/1600 = 0.785

0.785 * 100% = 78.5%

Best of Luck!

Answer:x_1= -1 or x_2= -6

Step-by-step explanation:

In the pictures

By using factorization, [tex]\[\dfrac{2x}{x + 2} = -\dfrac{6}{x + 4}.\][/tex] , values of x are -2, 3.

Factorization can be defined as the process of breaking down a number into smaller numbers which when multiplied together arrive at the original number.

These numbers are broken down into factors or divisors.

For an integer, factorization is decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number and these composing integers are called factors of that considered integers.

Given

[tex]\[\dfrac{2x}{x + 2} = -\dfrac{6}{x + 4}.\][/tex]

Cross multiplication;

2x(x + 4) = 6(x + 2)

[tex]2x^{2} + 8x = 6x + 12\\\\2x^{2} + 8x - 6x - 12 = 0\\\\2x^{2} + 2x - 12 = 0\\\\x^{2} + x - 6 = 0[/tex]

Divide above equation by 2, we get

[tex]x^{2} + x - 6 = 0[/tex]

(x +2) (x-3)

x = -2, 3

Therefore, By using factorization, [tex]\[\dfrac{2x}{x + 2} = -\dfrac{6}{x + 4}.\][/tex] , values of x are -2, 3.

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There are many examples you could go with, but one is "If a shape is a square, then it is always a rectangle".

The converse has us flip the statement into "If a shape is a rectangle, then it is always a square" which is not true. Some rectangles aren't squares.

------------------------

Another example could be "If it is a dog, then it is an animal" which is always true. The flip of it is "If it's an animal, then its a dog" which is false because the animal could be a cat for instance.

Answer:

7x - 8 hope this helps and have a great day

Step-by-step explanation:

Hey there! I'm happy to help!

Our goal here is to write the function (equation) that represents what Carlos has graphed. This is a line, so we can use the slope-intercept equation to represent it.

Our slope-intercept equation is y=mx+b, where m is the slope and b is the y-intercept.

If we look at the graph, we see that the the line intersects the y-axis at the point (0,0), also known as the origin, so our y-intercept is 0.

To find our slope, we need to first find two points on the line. Well, we already have (0,0). The next point on the line that seems to have integers is (7,5). This means that from (0,0) our rise is 5 and our run is 7, and since slope is rise over run, that means that our slope is 5/7 (for every one unit we go over, the line goes up 5/7).

Now, we just throw these numbers into the equation.

y=5/7x

or

f(x)=5/7x (if it needs to be in that function format)

Have a wonderful day and keep on learning! :D

Answer:

v=20/3

See IMAGE FOR SOLUTION

In the given expression f = uv /(v+t) value of v in terms of t is *4/3t.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given an expression f = uv /(v+t)

Also given

f = 20

u = 5

Hence, From the expression

f =  uv /(v+t)

=> 20 = 5v/(v + t)

Simplifying in the terms of v

20v + 20t = 5v

15v = -20t

v = -4/3t

Therefore, the value of v in the given expression is -4/3t.

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Answer:

15

Step-by-step explanation:

Answer:

52 meters

Step-by-step explanation:

each percent is 1, so 50m plus 4 percent equals 52

Answer:

55% decrease

Step-by-step explanation:

60 - 27 = 33

33 / 60 = 55

Answer:

y is larger.

Step-by-step explanation:

Along the same vertical line, 2 points have the same x value. So x=2 and y=4.

Answer:

1

Step-by-step explanation:

The second power and square root cancel each other (second power means squared by the way)

Answer:

Least to greatest: 8.76,11.73,11.9,15.9

Greatest to least: 15.9,11.9,11.73,8.76

Step-by-step explanation:

plz give me brainliest

Answer:

Step-by-step explanation:

Use the number on the left of the decimal first. Smallest to largest gives

8

11

11

15

8 and 15 have their positions fixed. Where they are now, that is where they will stay.

So let's mark them

8.76

11

11

15,8

Now all we need do is figure out the 11s.

11.90

11.73

I added the 0 so you could think about money. You see a great looking scarf. Which would you rather pay: 11.73 or 11.90.  Never mind that you really like it and the difference isn't worth squabbling about. Which is better to pay? You should answer 11.73. It's smaller than 11.90. So what's the answer

8.76

11.73

11.90

15.9

Answer:

tan j = 15/9

Step-by-step explanation:

tan(theta) is equal to perpendicular by base

B

Step-by-step explanation:

AM on total = 1/2

so (x+19)/(x+29)=1/2

2x +38 =x + 29

x=-9

Hi ;-)

[tex]-\frac{1}{3}-(-\frac{1}{2})=-\frac{1}{3}+\frac{1}{2}=-\frac{2}{6}+\frac{3}{6}=\frac{3}{6}-\frac{2}{6}=\frac{1}{6}\\\\3\frac{1}{3}-5=-(5-3\frac{1}{3})=-(4\frac{3}{3}-3\frac{1}{3})=-1\frac{2}{3}\\\\-1\frac{4}{5}-(-2\frac{7}{8})=-1\frac{4}{5}+2\frac{7}{8}=-1\frac{32}{40}+2\frac{35}{40}=2\frac{35}{40}-1\frac{32}{40}=1\frac{3}{40}\\\\-3\frac{3}{8}-\frac{7}{8}=-(3\frac{3}{8}+\frac{7}{8})=-3\frac{10}{8}=-3\frac{5}{4}=-4\frac{1}{4}\\\\4\frac{3}{4}-(-1\frac{1}{12})=4\frac{9}{12}+1\frac{1}{12}=5\frac{10}{12}[/tex]

Answer:

[tex]\displaystyle 3[/tex]

Explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]

AND

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]

Accourding to the graph AND the above information, your amplitude is three units. This means each crest is extended three units beyond the midline of [tex]\displaystyle y = 0,[/tex] the centre of your graph, also known as the vertical shift. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

Now, just in case you wanted to know the equation(s) of this graph, look below:

[tex]\displaystyle y = 3sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) \\ y = 3cos\:\frac{\pi}{2}x[/tex]

I am delighted to assist you at any time.

Answer: sorry i just know no.2

Step-by-step explanation:

2) = soln

h = ?

p = 5

b =9

[tex]h^2 = p^2 + b^2\\h^2 = 3^2 + 9^2\\or, h^2 = 9+81\\or, h^2 = 90\\so, h = \sqrt{90} \\\\[/tex]

Let the angle be x

so

tan x = p/b

tan x = 5/9

x = [tex]tan^{-1} (5/9)[/tex]

so, x = 29.054

rounding off to ten

x = 29.1

now

let the another angle be y

so

90+y+29.1 = 180

29.1 + y = 180-90

y = 90-29.1

so, y = 60.9

the missing side is √90 and missing angles are 29.1° and 60.9°

Answer:

93.5

Step-by-step explanation:

Also you only wrote down four numbers not 5 so I calculated it using those four numbers

Answer: 193.5

Step-by-step explanation:

184 + 190 + 198 + 202 = 774

first we add all the numbers together

774/4 = 193.5

then we divide the numbers by the amount of things we have in this case we have four players (last basketball player height not given) so we divide that by our added number and get 193.5cm

Answer:

-7j + 3

Step-by-step explanation:

Combine like terms:

-5j + (-2j) = -7j

-7j + 3

Answer and Step-by-step explanation:

Simply combine the values together.

-5j - 2j + 3

-7j + 3 is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

Step-by-step explanation:

300÷6x²÷3.14=2.6539278131634819533

Answer:

3 times Mike's amount = 3h

Answer:

[tex] \frac{x - 5}{3} \geqslant 2.8 \\ \\3 \times ( \frac{x - 5}{3} ) \geqslant \frac{28}{10} \times 3 \\ \\ \\ x - 5 \geqslant \frac{84}{10} \\ \frac{84}{10} = 8.4 \\ \\ x - 5 \geqslant 8.4 \\ \\ x \geqslant 13.4[/tex]