Students from grade 11 and 12

Answer:

Option B is correct.

Step-by-step explanation:

Solving using synthetic division

-8 | 2 14 9

The synthetic division is shown in image attached.

The remainder is: 25

The quotient is : 2x-2

So, Option B is correct.

Check the picture below.

since the larger cube has a volume of 6 cubic units, let's see what is the volume of one of the small cubes, and check how many times does that volume go into the other.

[tex]\bf \stackrel{\textit{volume of a cube}}{V=s^3}~~ \begin{cases} s=side's~ length\\ \cline{1-1} s=\frac{1}{2} \end{cases}\implies V=\left( \cfrac{1}{2} \right)^3\implies V=\cfrac{1}{8} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{how many times does }\frac{1}{8}\textit{ go into 6?}}{6\div \cfrac{1}{8}\implies \cfrac{6}{1}\div \cfrac{1}{8}\implies \cfrac{6}{1}\cdot \cfrac{8}{1}}\implies 48[/tex]

Answer:

Step-by-step explanation:

Answer:

A segment has exactly one endpoint- false

Answer:

A segment do not have only one endpoint. A line segment is part of a line that is bounded by two points and contains every point on the line between the two endpoints.

Answer:

The answer is c

Answer:

Step-by-step explanation:

Look at the picture.

ΔABC and ΔACD are similar. Therefore corresponding sides are in proportion:

[tex]\dfrac{AB}{AC}=\dfrac{AC}{AD}[/tex]

We have

[tex]AB=2+6=8,\ AC=x,\ AD=2[/tex]

Substitute:

[tex]\dfrac{8}{x}=\dfrac{x}{2}[/tex]          cross multiply

[tex]x^2=(8)(2)\\\\x^2=16\to x=\sqrt{16}\\\\x=8[/tex]

Answer:

Because he could only cover 50% of the price 25 by the coupon and 25 which he had.

Answer:

Letter (D), or y = -3x - 4

Step-by-step explanation:

A slope of -3 should be self explanatory, and y intercept is determined by the b value in the form y = mx + b. Since b is negative, we are looking for -4. Therefore, your answer is (D).

Hope this helps!

Answer:

(-4,-10)

Step-by-step explanation:

Given that ;

y=1x-6 -----------------------(a)

x= -4--------------------------(b)

Substitute value of x (b) in (a) above

y= 1(-4) -6

y= -4-6 = -10

Solutions

x=-4   and y= -10    ⇒    ( -4, -10)

Graphically we observe that x =  -4  and y = -10 at point m where the two graphs intersect

Answer:

-4,-8

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

x² + 6x = 18

To complete the square, take the coefficient of the x term, halve it, square the result, then add to both sides.

(6/2)² = 3² = 9

x² + 6x + 9 = 18 + 9

(x + 3)² = 27

x + 3 = ±√27

x = -3 ± √27

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the equation y = 75x + 50.

Therefore

slope: m = 75

y-intercept: b = 50

Answer:

y+3=-6(x +9)

Step-by-step explanation:

equation represents a line that passes through (-9, -3) and has a slope of -6is:

y+3=-6(x +9)

because : The equation of a linear function in point-slope form is:                    y – y1 = m(x – x1) ....m : the slope

The point is A (x1 , y1)

you have m = - 6      x1 = -9      y1 = -3

The equation represents a line that passes through (-9, -3) and has a slope of -6 is y+3 = -6(x+9).

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, a line is passing through the point (-9, -3) and the slope of -6,

We need to determine the equation of the line,

The general formula of a line passing through a point (x', y') and have slope m is given by,

y-y' = m(x-x')

Here, (x', y') = (-9, -3), m = -6,

Therefore, the equation of the asked will be =

y-(-3) = -6(x-(-9))

y+3 = -6(x+9)

Hence, the equation represents a line that passes through (-9, -3) and has a slope of -6 is y+3 = -6(x+9)

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Answer:

1. 13.98

2. 14.47

Step-by-step explanation:

The question is on sample standard deviation and population standard deviation

Arrange the data in increasing order

12,14, 16,16,17,19,21,26,35,37,42,43,45,46,56

n=15

Find the mean of the data set

[tex]mean = (12+14+ 16+16+17+19+21+26+35+37+42+43+45+46+56)/15[/tex]

mean= 29.67 ⇒30

Find the deviations

You subtract the value of mean from each of  the data set given

Deviations= -18, -16, -14, -14, -13,-11, -9,-4,5,7,12,13,15,16,26

Find squares of deviations

= 324, 256, 196, 196, 169, 121, 81, 16, 25, 49, 144, 196, 225, 256, 676

Find sum of squares of deviations

[tex]324+ 256+ 196+ 196+ 169+ 121+ 81+ 16+ 25+ 49+ 144+ 196+ 225+ 256+ 676 = 2930[/tex]

1. Treating the data set to represent an entire population then;

Variance= sum of squares of deviation/number of data set

Variance= 2930/15 = 195.33

Population standard deviation = √195.33 = 13.98

2. Treating the data set as a sample , the number of data set is reduced by one.i.e n= 15-1= 14

Sample Variance=2930/14 =209.29

sample standard deviation= √209.29 = 14.47

Answer:

-1

Step-by-step explanation:

To find the slope, we use the formula

m = (y2-y1)/(x2-x1)

   = (5-7)/(-3--5)

   = (5-7)/(-3+5)

   = -2/2

  =-1

the answer is B) 128

if the diameter of the cylinder's base is 8, then its radius is half that, or 4.

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=8 \end{cases}\implies V=\pi (4)^2(8)\implies V=128\pi[/tex]

Answer:

1000 times

Step-by-step explanation:

The Richter scale is a logarithmic scale, so we can say an earthquake of magnitude 8 on the Richter scale shows an intensity of 10^8.

In the same way, an earthquake of magnitude 5 on Richter scale will have an intensity of 10^5.

To evaluate the difference, we divide one by the other.

10^8 / 10^5 = 10^3 = 1,000

An earthquake of intensity of 8 is 1,000 times more powerful than one of intensity 5.

Answer:

on edge

A magnitude 8 earthquake is 1,000 times more intense than a magnitude 5 earthquake. A magnitude 8 earthquake is 108 times more intense than a standard earthquake, while a magnitude 5 earthquake is 105 times more intense than a standard earthquake, and 108 ÷ 105 = 103. Each unit increase on the Richter scale corresponds to an intensity increase by a factor of 10. So from 5 to 8 on the Richter scale, the intensity increases by 103 = 1,000.

Answer:

Step-by-step explanation:

Nice work with the latex. It is a hard language to use.

Numerator:

take out x(x^2 + 7x + 10)

Factor the contents of the brackets: (x + 2)(x + 5)

Combine x * (x + 2) * (x + 5)

Denominator: Leave at is it is.

Combine

[tex]\dfrac{(x)(x + 2)(x + 5)}{x^4*(x + 2)}[/tex]

Be very careful with this next step. Cancel the x and the (x + 2) in the top and bottom. You are left with

[tex]\dfrac{(x +5)}{x^3}[/tex]

The reason you have to be so careful is that you have to (or you should) mention that these cancellations can take place only if x ≠ 0 or that (x + 2)≠ 0

Answer:

-1/5

Step-by-step explanation:

Answer:

3v+5+8u is written as a product of three factors is incorrect because factors are associated with multiplication and multiplication is only used twice within the problem and also they are all be add

3v+5+8u is written as a sum of three terms is correct because sum is associated with addition and three terms are being added together

8 is a coefficient is correct because a coefficient is a number being multiplied by a variable in this case and its still a variable in both ways of looking at it because terms are also single numbers

8u and 5 are like terms is incorrect because you cannot add them together

5 is a constant is correct because a constant is a single number

none of these are true is incorrect because there are correct answers

Answer:

it would be the 1st one

Step-by-step explanation:

Answer:

Choice B), [tex]f(x) = -3|x|[/tex].

Step-by-step explanation:

Each point on the graph of [tex]g(x)[/tex] can be represented as [tex](x, g(x))[/tex].

When the graph of [tex]g(x)[/tex] is reflected over the x-axis, each point on the graph is also reflected over the x-axis. The x-coordinate of each point will not change but the sign in front of the y-coordinate will flip. For example, [tex]1[/tex] (same as [tex]+1[/tex]) will become [tex]-1[/tex], and vice versa. In general, [tex](x, g(x))[/tex] will become [tex](x, -g(x))[/tex].

On the other hand, points on the graph of [tex]f(x)[/tex] can be represented as [tex](x, f(x))[/tex]. [tex]f(x)[/tex] is the reflection of [tex]g(x)[/tex], so [tex](x, -g(x))[/tex] and [tex](x, f(x))[/tex] shall be equivalent. In other words,

[tex]f(x) = -g(x) = - 3|x|[/tex].

Answer:

[tex]\large\boxed{D)\ x^2(3x^2+2x-9)-5x(3x^2+2x-9)}[/tex]

Step-by-step explanation:

[tex]\text{Use the distributive property}\ a(b+c)=ab+ac.\\\\(x^2-5x)(3x^2+2x-9)=(x^2)(3x^2+2x-9)+(-5x)(3x^2+2x-9)[/tex]

Answer:

x^2(3x^2 + 2x - 9) - 5x(3x^2+2x-9)

Answer:

y^3 + 27

Step-by-step explanation:

(y+3)(y2 – 3y+9)

distribute y

y^3 - 3y^2 + 9y

distribute 3

3y^2 - 9y + 27

add/combine like terms and order correctly

y^3 + (3y^2 - 3y^2) + (9y - 9y) + 27

answer

y^3 + 27

Answer:

240 melons

Step-by-step explanation:

First, multiply the # of boxes and # of bags

(30 * 4 = 120)

Then, multiply that with 2

(120*2=240)

Answer:

Rational Numbers

Step-by-step explanation:

According to the definition of rational numbers, the numbers which can be written in the form of p/q where p and q belong to the set of integers and q is not equals to zero are called rational numbers i.e 8/9, 9/6, -3/4

So, the answer to given question is:

Rational Number ..

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Using the rules of exponents

•  [tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]

• [tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]

Hence

[tex]16^{-\frac{3}{4} }[/tex] = [tex]\frac{1}{16^{\frac{3}{4} } }[/tex]

= [tex]\frac{1}{\sqrt[4]{16^{3} } }[/tex] = [tex]\frac{1}{2^{3} }[/tex] = [tex]\frac{1}{8}[/tex]

Answer:

A: Natasha should have multiplied 100 by 2.

Step-by-step explanation:

i got it right in e2021

and mark me Brainliest

How many minutes are in 9 hrs

1 hr = 60 min

You must apply dimensional analysis (aka setting up fractions where the units you want will cancel out and the ones you want stay)

[tex]\frac{9 hr}{1} *\frac{60 min}{1hr}[/tex]

9 hrs is 540 min

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

so since there is 60 minutes in 1 hour and 60 is divisible by 10 all you have to do is multiply 6 by 9 and you get 54 but since it's 60 than that changes the answer to 540 since it's divisible by 10

x^2 + 2 = 38

Subtract 2 from each side:

x^2 = 36

Take the square root of both sides:

x = √36

x = 6

Answer:

A

Step-by-step explanation:

You can write any equation that is adding or subtracting like n+(-x)=y

Answer:-1

Step-by-step explanation:

Answer:

=204.13 inches.

Step-by-step explanation:

Using the side x, we can use sine to find the hypotenuse of the triangle with the angle marked 30°.

Sin 30 =x/hypotenuse.

sin 30 = 27/hyp

hyp= 27/sin 30

=54 inches

We can also find the adjacent as follows.

Cos 30 = adjacent/ 54

Adjacent= 54 cos 30

=46.77 inches

Using the angles marked 45 we can find the hypotenuse of the isosceles triangle.

sin 45= x/hypotenuse

sin 45 =27/hypotenuse

hypotenuse = 27/sin 45

=38.18 inches

The hypotenuse of both the triangles making the isosceles triangle are 38.18 inches long.

Perimeter = 54+ 46.77+27+ 38.18+38.18

=204.13 inches.

The total perimeter of the given figure is 204.13 inches

Let's break down the solution step by step:

1. Triangle with 30° Angle:

  - We have a right triangle with one angle measuring 30°.

  - The side opposite the 30° angle (labelled as "x") is 27 inches.

  - We want to find the hypotenuse (the longest side).

  - Using the sine function:

   [tex]\[ \sin(30°) = \frac{x}{\text{hypotenuse}} \] - Solving for the hypotenuse: \[ \text{hypotenuse} = \frac{27}{\sin(30°)} = 54 \text{ inches} \][/tex]

2. Adjacent Side of the 30° Triangle:

  - We can also find the adjacent side (labelled as "adjacent") using the cosine function:

   [tex]\[ \cos(30°) = \frac{\text{adjacent}}{54} \] - Solving for the adjacent: \[ \text{adjacent} = 54 \cos(30°) = 46.77 \text{ inches} \][/tex]

3. Isosceles Triangle with 45° Angles:

  - We have an isosceles triangle with two angles measuring 45° each.

  - The side opposite each 45° angle is also 27 inches (since it's an isosceles triangle).

  - We want to find the hypotenuse of this triangle.

  - Again using the sine function:

  [tex]\[ \sin(45°) = \frac{x}{\text{hypotenuse}} \] - Solving for the hypotenuse: \[ \text{hypotenuse} = \frac{27}{\sin(45°)} = 38.18 \text{ inches} \][/tex]

4. Total Perimeter:

  - The perimeter of the entire figure is the sum of all sides:

   [tex]\[ \text{Perimeter} = 54 + 46.77 + 27 + 38.18 + 38.18 = 204.13 \text{ inches} \][/tex]

Therefore, the total perimeter of the given figure is 204.13 inches.

Answer:

C

Step-by-step explanation:

The volume (V) of the cylinder is calculated as

V = πr²h

where r is the radius of the base and h the perpendicular height

here r = 5 and h = 8.5

V = π × 5² × 8.5

   = 25π × 8.5 ≈ 667.59 in³ ( to the nearest hundredth )

C. 667.59in^3

The procedure to use the volume of the cylinder calculator is follows:

The volume (V) of the cylinder is calculated as

V = πr²h

where r is the radius of the base and h the perpendicular height

here r = 5 and h = 8.5

V = π × 5² × 8.5

  = 25π × 8.5 ≈ 667.59 in³ ( to the nearest hundredth )

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