i ready classroom grade 8 volume 1 mathematics

Can anyone help me with this asap !!!

let's firstly convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} ~\hfill \stackrel{mixed}{1\frac{4}{8}} \implies \cfrac{1\cdot 8+4}{8} \implies \stackrel{improper}{\cfrac{12}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}+\cfrac{12}{8}\implies \cfrac{(4)7~~ + ~~(1)12}{\underset{\textit{using this LCD}}{8}}\implies \cfrac{28+12}{8}\implies \cfrac{30}{8}\implies \cfrac{15}{4}\implies 3\frac{3}{4}\)

Answer: 5

Step-by-step explanation:

3 1/2 + 1 4/8

= 7/2 + 12/8

= 28/8 + 12/8

= 40/8

= 5

Answer:

2(L+W)H

Step-by-step explanation:

Surface area= 2(L+W)H

Answer:

2(L+W)H

Step-by-step explanation:

The lateral surface area is the total of the area of all the faces of the prism.

Hope this helps!

The value of the cross product of two given vectors is = 6i-7j.

We only want to think about a portion of the rod. We first wish to think about a narrow slice of the rod. We can solve a straightforward equation if the thermal energy density is constant across the volume.

A *B stands for the vector product or cross product of two vectors A and B, and the resulting vector is perpendicular to the original two. While the dot product is used to identify the length of a vector or the angle between two vectors, the cross product is typically employed to determine the vector that is perpendicular to the plane surface spanned by two vectors. In three dimensions, the cross product of two vectors, such as A B, equals a vector at right angles to both.

we have a = i - 6k and b= j + k then find a×b

\(a*b=\left[\begin{array}{ccc}i&j&k\\1&0&-6\\1&0&1\end{array}\right] \\\\a*b=(6)i-(1+6)j+(0k)\\\\a*b=6i-7j\)

The value of the cross product of two given vectors is = 6i-7j.

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Answer:

1/2

Step-by-step explanation:

When you roll a 6-sided die, there are 6 possible outcomes:

1, 2, 3, 4, 5, 6

3 of the outcomes are even, and 3 of the outcomes are odd.

p(A) = p(even) = 3/6 = 1/2

p(Ac) = 1 - p(A) = 1 - 1/2 = 1/2

A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

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Answer: Rolling a six-sided number cube 24 times and recording if a 5 comes up

Thank you for being so generous with the points!! <3

The inverse function formula is (f·\(f^{-1}\))(x) = (\(f^{-1}\)·f) (x) =x.

Inverse function is represented by  with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

The inverse function formula is

If (x, y) is a point on the graph of a function f, then (y, x) will be definitely a point on \(f^{-1}\), i.e., the domain of f is the range of f-1 and the range of f is the domain of \(f^{-1}\),i.e., if f:A→B (which is one-one and onto), then \(f^{-1}\):B→A. The inverse function formula says f and \(f^{-1}\) are inverses of each other only if their composition is x.

(f·\(f^{-1}\))(x) = (\(f^{-1}\)·f) (x) =x

Therefore, the inverse function formula is (f·\(f^{-1}\))(x) = (\(f^{-1}\)·f) (x) =x.

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The length of AB is 25 units

The given parameters are

AC = 15 cm

BC = 20 cm

The triangle is right -angled at C.

So, we have:

AB^2 = AC^2 + BC^2

This gives

AB^2 = 15^2 + 20^2

Evaluate

AB^2 = 625

Take the square roots

AB = 25

Hence, the length of AB is 25 units

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Answer:

Step-by-step explanation:

The mean absolute deviation (MAD) for the given sequence 9, 7, 11, 10, 8 is 1.2.

Calculate the mean absolute deviation (MAD) for the sequence of numbers 9, 7, 11, 10, 8:

Find the mean (average) of the numbers:

Mean = (9 + 7 + 11 + 10 + 8) / 5 = 45 / 5 = 9.

Calculate the absolute deviation for each number by subtracting the mean from each data point and taking the absolute value:

Absolute deviations: |9 - 9|, |7 - 9|, |11 - 9|, |10 - 9|, |8 - 9|

= 0, 2, 2, 1, 1.

Find the mean of the absolute deviations:

MAD = (0 + 2 + 2 + 1 + 1) / 5 = 6 / 5 = 1.2.

Therefore, the mean absolute deviation (MAD) for the given sequence 9, 7, 11, 10, 8 is 1.2.

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Question

"Calculate the mean absolute deviation (MAD) for the following sequence of numbers: 9, 7, 11, 10, 8."

Answer:

true true flase

Step-by-step explanation:

Answer:

Hey

Step-by-step explanation:

In context how do the angles relate to each other? Like so you have a picture or something?

Answer: C. Scalene.

Step-by-step explanation: An equilateral triangle is a triangle with all three sides that are the same.  An isosceles triangle is a triangle with two sides that are the same, but one side that is different.  A scalene triangle is a triangle with all three sides that are different.  This triangle has three side lengths that are different, which means it's a scalene triangle.

Have a great day! :)

The approximate value of the expression sec 4π / 13 is 1.76

Radian is a unit of measurement of angles equal to about 57.3° . equivalent to angle subtended at the center of a circle by a arc equal to length of radius

To Change Radian into degree, we multiple the angle with 180/π

The given Expression is

sec 4π / 13

Changing radian into Degree ,

=> 4π / 13 × 180 / π

=> 720 / 13

=> 55.38

Therefore , sec 55.38° is 1.7603

rounding off to two decimal places is 1.76

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Answer:

Part A number 2 (see work below)

*please give me brainliest lol*

Step-by-step explanation:

(8r^3 + 2r^2 + 1) - (7 - 7r^3 + 3r^2)

after factoring out the negative, you'll have:

8r^3 + 2r^2 + 1    -7 + 7r^3 - 3r^2

now we combine like terms, and your answer is:

15r^3 - r^2 - 6

hope this helps!

Answer:

See solution( s ) below

Step-by-step explanation:

1.

\(( 2r + 4r^2 - 4r^3 ) - ( 5r^2 - 7r + 3r^3 ) ,\\2r+4r^2-4r^3-\left(5r^2-7r+3r^3\right),\\2r+4r^2-4r^3-5r^2+7r-3r^3,\\\\Simplified, -7r^3-r^2+9r\)

To solve this problem, I distributed the negative to the values in ( ), and grouped like elements!

2.

\(( 8x + 8 )( 8v^2 + 4x - 8 ),\\8x\cdot \:8v^2+8x\cdot \:4x+8x\left(-8\right)+8\cdot \:8v^2+8\cdot \:4x+8\left(-8\right),\\\\Simplified, 32x^2+64v^2x-32x+64v^2-64\)

Expanding the values in ( ), I combined like terms once more, and simplified the expression!

3.

\(54b^7+81b^6 + 72b^4,\\Greatest Common Factor = 9b^4\\Factored, 9b^4\left(6b^3+9b^2+8\right)\)

4.

\(16p^3 +12p^2 + 12p + 9,\\\left(16p^3+12p^2\right)+\left(12p+9\right),\\3\left(4p+3\right)+4p^2\left(4p+3\right),\\\\Factored, \left(4p+3\right)\left(4p^2+3\right)\)

5.

\(x^2 + 8x - 20,\\( x^2 - 2x ) + ( 10x - 20 ),\\x * ( x - 2 ) + 10 * ( x - 2 ),\\\\Factored, ( x - 2 )( x + 10 )\)

6.

\(2\sqrt{ 45 } - \sqrt{ 20 }\\6\sqrt{ 5 } - 2\sqrt{ 5 },\\\\Solution, 4\sqrt{ 5 }\)

Answer:

See below

Step-by-step explanation:

If you graphed x-2=5, you would see a vertical line crossing the point x=7, as shown in the graph because 7-2=5.

Answer: 5/6

Step-by-step explanation:

x = 0 because u are looking for y-intercept

y = -4/9(0) + 5/6

y = 5/6

If the credit card did not have a promotional offer, Lori would have had to pay approximately $110.58 more in interest.

a. To determine how long it will take Lori to pay off the balance, we need to calculate the number of months it will take for the total balance to reach zero.

Let's assume it takes n months for Lori to pay off the balance. Each month, Lori pays $75 towards the balance. Since there is no interest during the promotional period, the balance decreases by $75 each month.

The initial balance is $562, so the remaining balance after n months can be represented as:

Remaining balance = Initial balance - (Monthly payment * Number of months)

0 = 562 - (75 * n)

Solving this equation for n:

75n = 562

n = 562 / 75

n ≈ 7.49

Therefore, it will take Lori approximately 7.49 months (or rounded up to 8 months) to pay off the balance.

b. To calculate the total interest paid, we need to subtract the initial balance from the total amount paid over the repayment period. The total amount paid is the monthly payment multiplied by the number of months.

Total interest paid = Total amount paid - Initial balance

Total amount paid = Monthly payment * Number of months

Total interest paid = (Monthly payment * Number of months) - Initial balance

Total interest paid = (75 * 8) - 562

Total interest paid = 600 - 562

Total interest paid = $38

Therefore, Lori will pay a total of $38 in interest.

c. If the credit card did not have a promotional offer, the interest would have been charged at a rate of 19.7% compounded daily after the promotional period.

To calculate the additional interest, we can use the formula for compound interest:

Additional interest = Initial balance * (1 + interest rate)^Number of months - Initial balance

Additional interest = 562 * (1 + 0.197/365)^(30 * 4) - 562

Calculating this value:

Additional interest ≈ $110.58

Therefore, if the credit card did not have a promotional offer, Lori would have had to pay approximately $110.58 more in interest.

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The median of the given dot plot is 0.6 seconds.

In the given dot plot, the median is represented by the point where there are an equal number of data points above and below it. The median is the measure of central tendency that divides the data into two halves. In this case, the median is 0.6 seconds.

Reaction times are an important measure of cognitive function and can vary depending on the task and individual. Understanding reaction times can be useful in fields such as sports, medicine, and psychology. The dot plot provides a visual representation of the data and allows for easy interpretation of the median. By analyzing the data, it is possible to draw conclusions about the performance of the class in catching a falling object.

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Therefore, we can order the integrals as follows, from smallest to largest:

a: ∫80f(x)dx (interval [3, 0], negative values, short length)

b: ∫30f(x)dx (interval [0, 5], positive values, longer length)

d: ∫50f(x)dx (interval [0, 5] and part of [5, 8], positive values, longest length)

c: ∫85f(x)dx (interval [5, 8], positive values, short length)

However, we can compare the given intervals in terms of their length and the position of the function on those intervals to determine the order of the integrals. From left to right, the intervals and their approximate lengths are:

Interval [3, 0]: length 3

Interval [0, 5]: length 5

Interval [5, 8]: length 3

Now we need to examine the position of the function on each interval. From the graph, we can see that the function is negative on the interval [3, 0] and positive on the intervals [0, 5] and [5, 8].

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Complete question:

For the function f whose graph is given below, list the following quantities in increasing order, from smallest to largest.

a: ∫80f(x)dx

b: ∫30f(x)dx

c: ∫85f(x)dxd: ∫50f(x)dx

The value of the measure of the arc or angle indicated are,

⇒ m ∠SQR = 50°

⇒ m ∠KML = 89°

Now, We can simplify as,

4) As shown in figure,

m arc RS = 360° - (120° + 140°)

m arc RS = 360° - 260°

m arc RS = 100°

So, We get;

⇒ m ∠SQR = m RS / 2

⇒ m ∠SQR = 100 / 2

⇒ m ∠SQR = 50°

4) As shown in figure,

m arc KL = 360° - (124° + 58°)

m arc KL = 360° - 182°

m arc KL = 178°

So, We get;

⇒ m ∠KML = m KL / 2

⇒ m ∠KML = 178 / 2

⇒ m ∠KML = 89°

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The value of Sin2t is 1/4 and cos2t is (15/16)^1/2  and tan2t is 1/(15)^1/2.

According to the statement

we have given that the sint=1/8 then we have to find the exact value of

sin(2t) , cos(2t) , and tan(2t).

Here the value of Sint = 18

then sin2t becomes

sin2t = 2*1/8 then

sin2t = 1/4.

And

(Cos2t)^2 = 1 - (Sin2t)^2

(Cos2t)^2 = 1 - 1/16

(Cos2t)^2 = (16 - 1)/16

(Cos2t)^2 = 15/16

(Cos2t) = (15/16)^1/2

then

tan2t = sin2t/cos2t

tan2t = (1/4)/(15)^1/2 / 4

tan2t = 1/(15)^1/2

these are the values of given terms.

So, The value of Sin2t is 1/4 and cos2t is (15/16)^1/2  and tan2t is 1/(15)^1/2.

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Hi!

Your answer is Infinite.

Here's why:

When you solve this system of equations your final answer will come down to x=x.

When this happens you know that the solution amount is infinite!

I hope this helps!

Feel free to give brainliest of you think this answer deserves it!

Answer:

Helen

Step-by-step explanation:

Just did test

Both Felix and Sidney earned the same amount of commission, which is $39.15.

Helen earned the most commission, which is $45.00.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To calculate the commission earned by each salesperson, we need to multiply the rate of commission by the total sales amount.

The total sales amount is the product of the number of items sold and the cost of each item.

For Felix:

Commission = (Rate of commission) x (Total sales amount)

= 7.25% x (9 x $60)

= $39.15

For Helen:

Commission = (Rate of commission) x (Total sales amount)

= 7.50% x (12 x $50)

= $45.00

For Reid:

Commission = (Rate of commission) x (Total sales amount)

= 8.25% x (10 x $40)

= $33.00

For Sidney:

Commission = (Rate of commission) x (Total sales amount)

= 7.75% x (6 x $90)

= $39.15

Therefore,

Both Felix and Sidney earned the same amount of commission, which is $39.15.

Helen earned the most commission, which is $45.00.

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Answer:

Review the images

Step-by-step explanation:

Remember, the "x" is the hypotenuse.

Firstly, let's draw a picture of the distribution:

Graphically, we want to calculate the blue area. To put it differently, we want to calculate

To do this, we need to find the z-score associated with 6. We can calculate it by

Now, we must check our favorite z-score table and look for the probability associated with the z-score we just found. It's 0.0018.

The probability that a randomly selected TV will have a warranty of less than 6 years is 0.0018.

Answer:

-22

Step-by-step explanation:

Step 1: Subtract 20 from -2

Therefore, the answer is -22.

Answer:

It would be 3/4=9/12

Step-by-step explanation:

The proportion relationship of the given ratios is 3/4= 9/12 thus option (B) is correct.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

In the fractions, 3/4

Multiply by 3 on the numerator and denominator.

3/4 x 3/3 = 9/12

3/4 x constant = 9/12

Remove constant.

3/4 ∝ 9/12

Hence "The proportion relationship of the given ratios is 3/4= 9/12".

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The work done by the constant force of 6 N in moving an object from x = 0 to x = 4 meters is equal to 24 J.

Work is the dot product of force and displacement, which in this case is the product of the constant force of 6 N and the displacement of 4 meters in the x-direction.

Work is calculated as W = F * d * cos(Θ), where Θ is the angle between the force and displacement vectors, and in this case, it is 0° as the force and displacement are in the same direction.

Therefore, W = 6 N * 4 m * cos(0°) = 6 N * 4 m = 24 Nm = 24 J. The unit of joule (J) can also be expressed as Newton-meter (Nm).

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(a) The volume V of the box as a function of x is V = 4x^3-60x^2+200x

(b) The domain of V in interval notation is 0<x<5,

(c) The length L , width W, and height H of the resulting box that maximizes the volume is H = 2.113, W = 5.773, L= 15.773

(d) The maximum volume of the box is 192.421 cm^2.

In the given question,

A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.

(a) We have to express the volume V of the box as a function of x.

If we cut out the squares, we'll have a length and width of 10-2x, 20-2x respectively and height of x.

So V = x(10-2x) (20-2x)

V = x(10(20-2x)-2x(20-2x))

V = x(200-20x-40x+4x^2)

V = x ( 200 - 60 x + 4x^2)

V = 4x^3-60x^2+200x

(b) Now we have to give the domain of V in interval notation.

Since the lengths must all be positive,

10-2x > 0 ≥ x < 5 and x> 0

So 0 < x < 5

(c) Now we have to find the length L , width W, and height H of the resulting box that maximizes the volume.

We take the derivative of V:

V'(x) = 12x^2-120x+200

Taking V'(x)=0

0 = 4 (3x^2-30x+50)

3x^2-30x+50=0

Now using the quadratic formula:

x=\(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

From the equationl a=3, b=-30, c=50

Putting the value

x=\(\frac{30\pm\sqrt{(-30)^2-4\times3\times50}}{2\times3}\)

x= \(\frac{30\pm\sqrt{900-600}}{6}\)

x= \(\frac{30\pm\sqrt{300}}{6}\)

x= \(\frac{30\pm17.321}{6}\)

Since x<5,

So x= \(\frac{30-17.321}{6}\)

x= 2.113

So H = 2.113, W = 5.773, L= 15.773.

d) Now we have to find the maximum volume of the box.

V = HWL

V= 2.113*5.773*15.773

V = 192.421 cm^3

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