How many terms are in the algebraic expression Negative 7 + 12 x 4 minus 5 y 8 + x?
1
2
3
4

Answer:

The answer is <U , <T , <V.

Step-by-step explanation:

There is no need to show work. You can show work by solving for the angles using Sin, Cos, and Tan.

Usually, the small side length is the smallest angle degree and the big side length is the larger angle degree.

VT = 18 , UV = 20 , TU = 23.

Answer:

see explanation

Step-by-step explanation:

given f(x) then f(x) ± c is a vertical translation of f(x)

• if + c then a shift up of c units

• if c < 0 then a shift down of c units

then

h(x) = x² - 9 is the graph of f(x) shifted down 9 units

The value of y is on the graph and its value in the table when x = 12 will be 60. Then the correct option is C.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The table and the graph below each show a different relationship between the same two variables x and y.

x       4              5           6            7

y     100          125        150         175

Then the equation will be

y - 100 = [(125 - 100) / (5 - 4)] (x - 4)

y - 100 = 25(x - 4)

y - 100 = 25x - 100

        y = 25x

At x = 12, y will be

y = 300

The equation from the graph will be

y - 120 = [(180 - 120) / (6 - 4)] (x - 4)

y - 120 = 30(x - 4)

y - 120 = 30x - 120

        y = 30x

At x = 12, y will be

y = 360

Then the value of y be on the graph than its value in the table when x = 12 will be

⇒ 360 - 300

⇒ 60

Then the correct option is C.

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Answer:

19 ) B (<2 and <5)

20) A(20)

21 and 22 Don't know sorry

The Area of the triangle with the given position vectors are; 12.59 sq.units

We are given the position vectors;

A = (3i - 2j + 7k)

B = (2i + 4j + k)

C = (5i + 3j - 2k)

Thus;

AB = B - A

AB = (2i + 4j + k) - (3i - 2j + 7k)

AB = -i + 6j - 6k

BC = C - B

BC = (5i + 3j - 2k) - (2i + 4j + k)

BC = 3i - j - k

CA = A - C

CA = (3i - 2j + 7k) - (5i + 3j - 2k)

CA = -2i - 5j + 9k

Length of AB = √[(-1)² + (6)² + (-6)²]

Length of AB = √73 = 8.544

Length of BC = √[(3)² + (-1)² + (-1)²]

Length of BC = √11 = 3.3166

Length of CA = √[(-2)² + (-5)² + (9)²]

Length of BC = √110 = 10.488

Area of a triangle with 3 side lengths is;

Area = √(s(s - a)(s - b)(s - c))

where; s = (a + b + c)/2

Thus;

s = (√73 + √11 + √110)/2

s = 11.174

Area = √(11.174(11.174 - 8.544)(11.174 - 3.3166)(11.174 - 10.488))

Area = 12.59 sq.units

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Answer:

9 sqrt 3   in^2

Step-by-step explanation:

Assuming this is a equilateral triangle

 find height

   sin 60 = height/6

    6 sqrt (3)/2   = height

      3 sqrt 3 = height

 area = 1/2  base * height

          = 1/2  * 6 * 3 sqrt 3

            = 9 sqrt 3  in^2

By applying the concept of rigid transformation and the equation of translation we conclude that the coordinates of points K' and M' are (-2, 3) and (-4, 1).

Rigid transformations are transformations applied onto geometric loci such that Euclidean distance is conserved at every point of the loci. Translations are an example of rigid transformations, whose formula is defined by the following expression:

[tex]P'(x, y) = P(x, y) + \vec v[/tex]     (1)

Where:

If we know that K(x, y) = (4, 1), M(x, y) = (2, -1) and [tex]\vec v = (-6, 2)[/tex], then the coordinates of points K' and M' are:

Point K'

K'(x, y) = (4, 1) + (-6, 2)

K'(x, y) = (-2, 3)

Point M'

M'(x, y) = (2, -1) + (-6, 2)

M'(x, y) = (-4, 1)

By applying the concept of rigid transformation and the equation of translation we conclude that the coordinates of points K' and M' are (-2, 3) and (-4, 1).

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Answer:

450 meters

Step-by-step explanation:

4 minutes = 240 seconds

[tex]\frac{x}{240} =\frac{25}{13.7}[/tex]

solve for x

x = 438m

Step-by-step explanation:

circumference= 3.142*diameter

Diameter of main Street park is 30

Diameter of uptown park is 16

3.142*30=94.26

3.142*16=30.272

94.26-30.272=43.988

round off to tenth =44.0km

Answer:

c. 49

Step-by-step explanation:

(-14/2)^2 = (-7)^2 = 49

a = 1

b = -14

c = ?

(b/2)^2

Answer:

and the grace of Allah and all that will be in french and in the future I

Step-by-step explanation:

19-73 19-73 and I will get back to the office on 6th September for my father to be

The slope of the line is -2 or the slope of the graph is -2 if the other point is (-1, 1) option (D) is correct.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a graph of a line shown in the picture.

Let's suppose the equation of the line is:

y = mx + c

Here, m is the slope and c is the y-intercept

From the y-intercept is (0, -1)

Plug the above point in the equation.

y = -1

The equation becomes:

y = mx -1

Now we need one more point to calculate the slope of the line.

From the graph, the slope of the line is negative because it is going downwards.

Plug (-1, 1) in the equation:

1 = -m - 1

So, m = -2

Thus, the slope of the line is -2 or the slope of the graph is -2 if the other point is (-1, 1) option (D) is correct.

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The inverse of f(x) = 4x + 5 is:

[tex]g(x) = (1/4)*x - 5/4[/tex]

Two functions f(x) and g(x) are inverses if and only if:

[tex]f(g(x)) = x\\\\g(f(x)) = x[/tex]

If f(x) = 4x + 5.

Then the inverse is also a linear function:

g(x) = a*x + b

When we compose f(x) and g(x) we must get:

[tex]f(g(x)) = 4*g(x) + 5 = 4*(a*x + b) + 5 = x\\\\4ax + (4b + 5) = x[/tex]

From that we get two equations:

4a = 1

4b + 5 = 0

Then:

a = 1/4

b = -5/4

So the inverse of f(x) is:

[tex]g(x) = (1/4)*x - 5/4[/tex]

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Answer:

  2(n +7)

Step-by-step explanation:

Each part of the English description can be written using math symbols.

__

A sum is formed when two or more terms are added together. Here, we are told the sum is the result of adding "a number" and 7. The number can be represented by "n", and the addition is represented by a plus sign (+). The corresponding math expression is ...

  n + 7 . . . . . . "the sum of a number and 7"

The English description tells us this sum is multiplied by two. (That is the meaning of "two times".) In algebra, we can use several different symbols to represent "times", including a centered dot (·), a centered x (×), or no symbol at all. In this last case, the factors of the product are simply written next to each other.

We want to treat the sum as a unit, so for that purpose, we wrap it in parentheses.

  2×(n +7) . . . . . . . two times the sum of a number and 7

More compactly, ...

  2(n +7) . . . . . . . two times the sum of a number and 7

Step-by-step explanation:

I have done it by Taking any number

Answer: its d, "Each distribution has the same mean and a different standard deviation."

Don't listen to the other guy I literally got it wrong. I don't know why he has 5 stars.

Step-by-step explanation:

Each distribution has the different mean and a different standard deviation.

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Now, Looking at the graph, it can be seen that there are three different normal distributions.

They all have different colors in order to make differentiating them easier.

Hence, From the graph, we can see that all three distributions does not have the same mean, this is because the center of their respective curves all lie on the different place on the graph.

And, The normal distributions all have different spread, and this means they all have different standard deviations.

It is known that standard deviation would be small when the data are close to the mean, it the standard deviation would be larger when data are spread out from the mean. We already know the mean here is the center of the curve.

Therefore, we can say each distribution has the different mean and a different standard deviation.

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Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]\frac{32}{40}[/tex]

Both 32 and 40 are divisible by 8.
32÷8=4

40÷8=5

Thus, the simplest form is [tex]\frac{4}{5}[/tex]

The coordinate of the mid-point of line segment GH will be (6.5, 3).

Let C be the mid point of the line segment AB.

A = (x₁, y₁)

B = (x₂, y₂)

C = (x, y)

Then the midpoint will be

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

The endpoints of GH are G(10,1) and H(3,5).

Then the coordinate of the mid-point of line segment GH will be

(x, y) = [{(10 + 3) / 2}, {(1 + 5) / 2}]

(x, y) = (6.5, 3)

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Answer:

if x=father

z=son

y=daughter

(x-3)+(z-3)+(y-3)=63

x+z+y-9=63

x+z+y=72

3z+z+z-3=72

5z-3=72

5z=72+3

5z/5=75/5

z=15

x=3z

x=3(15)

x=45

so the fathers age is 45

Step-by-step explanation:

hope I helped

The  surface area of the cylinder is 835.24 square centimeters

The given parameters are:

Radius= 7cm

Height= 12cm

The surface area is calculated using:

[tex]A = 2\pi r(h + r)[/tex]

So, we have:

A = 2 * 3.14 * 7 * (12 + 7)

Evaluate the expression

A = 835.24

Hence, the surface area of the cylinder is 835.24 square centimeters

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If the radius of a cylinder is 7 cm and the height is 12 cm. Find the S.A (Surface Area)of a cylinder .

In this question we are provided with the radius of a cylinder that is 7 cm and it is also given that the height of the cylinder is 12 cm. We are asked to calculate the Surface Area of the cylinder.

We know,

[tex] \small\boxed{ \sf{ Surface \: area_{(cylinder)} = 2πr × (h + r)}}[/tex]

Substituting the values we get

[tex] \small\sf{ Surface \: area_{(cylinder)} = 2 × 3.14 × 7 × (12 + 7)}[/tex]

[tex] \small\rm{ Surface \: area_{(cylinder)} = 2 × 3.14 × 7 × 19}[/tex]

[tex] \small\rm{ Surface \: area_{(cylinder)} = 6.28 × 133}[/tex]

[tex] \small\rm{Surface \: area_{(cylinder)} = 835.24 \: {cm}^{2} } [/tex]

Answer:

Given expression:

[tex]\dfrac{14a^4b^6c^{-10}}{8a^{-2}b^3c^{-5}}[/tex]

Separate the variables:

[tex]\implies \dfrac{14}{8} \cdot \dfrac{a^4}{a^{-2}} \cdot \dfrac{b^6}{b^3} \cdot \dfrac{c^{-10}}{c^{-5}}[/tex]

Reduce the first fraction:

[tex]\implies \dfrac{7}{4} \cdot \dfrac{a^4}{a^{-2}} \cdot \dfrac{b^6}{b^3} \cdot \dfrac{c^{-10}}{c^{-5}}[/tex]

[tex]\textsf{Apply Division Property of Exponents rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies \dfrac{7}{4} \cdot a^{4-(-2)} \cdot b^{6-3} \cdot c^{-10-(-5)}[/tex]

[tex]\implies \dfrac{7}{4} \cdot a^{6} \cdot b^{3} \cdot c^{-5}[/tex]

[tex]\textsf{Apply Negative Property of Exponents rule} \quad a^{-n}=\dfrac{1}{a^n}[/tex]

[tex]\implies \dfrac{7}{4} \cdot a^{6} \cdot b^{3} \cdot \dfrac{1}{c^5}[/tex]

Therefore:

[tex]\implies \dfrac{7a^6b^3}{4c^5}[/tex]

Answer and Step-by-step explanation:

We are given two functions and are asked to solve a composite function.

f(x) = 2

g(x) = 2[tex]x^2[/tex] + x - 3

All we have to do are add the functions together.

(2) + (2[tex]x^2[/tex] + x - 3) =  2[tex]x^2[/tex] + x - 1

I hope this helps!
#teamtrees #PAW (Plant And Water)

total angle in a triangle is 180

so the third angle will be 180 - (70 + 40) = 70

angles on a straight line is 180

so x is 180 - 70 ( third angle) = 110

The value of (f-g)(x) is x + 14.

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.

Here, given function;

f(x) = 3x + 10  and  g(x) = 2x - 4

Now,

  (f - g)(x) = f(x) - g(x)

                = (3x + 10) - (2x - 4)

                = 3x + 10 - 2x + 4

                = (3x - 2x) + (10 + 4)

  (f - g)(x) = x + 14

Thus, the value of (f-g)(x) is x + 14.

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Answer: 18.2

Step-by-step explanation:

[tex]14^{2}+b^{2}=23^{2}\\b^{2}=23^{2}-14^{2}\\b=\sqrt{23^{2}-14^{2}} \approx \boxed{18.2}[/tex]

Answer:

D no will be answer because 8 k plus 88 - 6k =19or , 2k -88 =19

Answer:

D. 2k+88=19

Step-by-step explanation:

distribute the 8 to the k and 11, and you should get 8k +11 by multiplying the 8 to the k and 8 to the 11. now you have 8k+88-6k=19, and now you should combine like terms. 8k-6k=2k. so the answer is 2k+88=19

If Brain flips a coin 3 times the probability of getting 3 heads is 0.125.

The given statement is Brian flips a fair coin 3 times.

We need to find the probability of getting 3 heads.

Probability refers to possibility. A random event's occurrence is the subject of this field of mathematics. The range of the value is 0 to 1.

The possible outcomes are {HHH, THH, HTH, HHT, TTH, THT, HTT, TTT}.

Total number of outcomes = 8

The number of favourable outcomes =1

So, the probability of getting 3 heads = 1/8 = 0.125

Hence, if Brain flips a coin 3 times the probability of getting 3 heads is 0.125.

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The sorting as been done below:

A unit of measurement is a quantity used as a standard to expressed a physical quantity.

Volume: Millimeter , Kiloliter

Length: Yard, Quart

Weight/Mass: Centigram, Ounce.

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