What is the value of the expression (-2)(3)º(4)-2 ?
A. -3/2
B. -1/2
C. -3/4
D. 0

Answer:6

Step-by-step explanation:

Answer:

1 and 17/24

Step-by-step explanation:

first you make the denominators equal by multiplying which would come put as 20/24 and 21/24 then add which would be 41/24 which comes out to 1 and 17/24 which cannot be simplified

Answer:

\(1\frac{17}{24}\) or \(\frac{41}{24}\)

Step-by-step explanation:

\(\frac{5}{6} + \frac{7}{8}\)

Find LCD (Least common denominator) which is 24

\(4(\frac{5}{6}) + (\frac{7}{8})3\)

\(\frac{20}{24} +\frac{21}{24}\)

Now add 20 + 21 which equals 41

\(\frac{41}{24}\)

This cannot be simplified, but can become improper if necessary (\(1\frac{17}{24}\))

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Candy spends £2.65, has 2/3 left and Candy has £7.95 money to start with.

Given that Candy spends £2.65 and has 2/3 of the initial amount left, we are required to find how much money Candy has to start with.

Solution:Let the initial amount of money Candy has be x.

Then, the amount of money spent by Candy = £2.65

Amount of money left with Candy = 2/3 of the initial amount

∴ Money left = 2/3 × x

Amount of money spent + money left = initial amount of money

Candy spends £2.65:2/3 of the initial amount left

= £ (x - 2.65)∴ 2/3 × x

= x - 2.65⇒ 2x/3

= x - 2.65⇒ 2x

= 3x - 7.95⇒ 3x - 2x

= 7.95⇒ x = 7.95

Hence, Candy has £7.95 to start with.

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Answer:

1/12

Step-by-step explanation:

First we have to calculate the sample space i.e. The total number of outcomes,

(H represents heads, T represents Tails and Numericals represent the number on the die)

H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6

= 12 sample spaces

Ok now so what is the probability that the die lands on 4 and it pops up as heads. So when we see the total outcomes we see that such event has only one such outcome

The number of outcomes/Total number of outcome

So therfore we can represent it in fraction as

1 / 12

From the dot plot, we have that 90.91% of the students have 5 or more vowels in their first and last  names.

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

The dot plot states that:

2 students have 4 vowels in their first and last name.

3 students have 5 vowels.

8 students have 6 vowels.

9 students have 7 vowels.

Then:

Total of 2 + 3 + 8 + 9 = 22 students.

3 + 8 + 9 = 20 have or more vowels.

90.91% of the students have 5 or more vowels in their first and last  names.

Answer:

TWO CRACKERS

Step-by-step explanation:

I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.

Hope this helped

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

Q1: She can write names of each Student on separate Papers and choose one Randomly, the Result may be 5:3 Girls to Boys

Q2: 75/100

The surface area of an ice cube with 4 cm sides is 96 square centimeters.

It is a measurement of the sum of all the areas of the faces, sides, and any other surfaces of an object. For example, a cube has six square faces, each with the same area.

To find the surface area of an ice cube with 4 cm sides, we need to add up the areas of all six faces. Each face is a square with side length 4 cm, so the area of each face is:

Area of one face = (side length)² = 4 cm × 4 cm = 16 cm²

Since there are six faces on a cube, the total surface area of the ice cube is:

Total surface area = 6 × (area of one face) = 6 × 16 cm² = 96 cm²

Therefore, the surface area of an ice cube with 4 cm sides is 96 square centimeters.

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The sum of the first 6 terms of the geometric sequence 3, -6, 12, -24, ... is -3.

The first 6 terms of the geometric sequence 3, -6, 12, -24, ... can be calculated using the formula for the nth term of a geometric sequence:

\(a_n = a_1 * r^{(n-1)}\)

where a_1 is the first term, a_n is the nth term, r is the common ratio, and n is the term number.

For the given sequence, a_1 = 3 and r = -2, so the first 6 terms can be calculated as follows:

\(a_2 = 3 * (-2)^{(2-1)} = -6\\a_3 = 3 * (-2)^{(3-1)} = 12\\a_4 = 3 * (-2)^{(4-1)} = -24\\a_5 = 3 * (-2)^{(5-1)} = 48\\a_6 = 3 * (-2)^{(6-1)} = -96\\\)

The sum of the first 6 terms will be = 3 - 6 + 12 - 24 + 48 - 96 = -3

A geometric sequence is a number sequence in which the ratio of any two consecutive terms is always the same.

A geometric sequence has the following general form: a, ar, ar^2, ar^3,...,

where an is the first term of the sequence and r is the common ratio, which is a fixed number that represents the factor by which each term is multiplied to get the next term.

The formula for calculating the nth term of a geometric sequence is:

a_n = a * r(n-1) where n is the term number.

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Answer:

p=39/45=13/15

Step-by-step explanation:

The transformation of a function may involve any change. When the graph of f(x) is transformed into 5 units to the right and one unit up, then the function g(x) is obtained.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift

Stretching:

Given the function f(x)=x², which is transformed to g(x)=(x-5)²+1, therefore, the graph of both the functions are given below.

When the graph of f(x) is transformed into 5 units to the right and one unit up, then the function g(x) is obtained.

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Answer:

c

Step-by-step explanation:

Answer:

y=8x-34

Step-by-step explanation:

We can infer that the point (8, -15) was reflected over the y-axis to (-8, -15) based on the change in the x-coordinate while the y-coordinate stays the same.

The y-axis reflected the point (8, -15) over to (-8, -15).

The x-coordinate changes its sign but the y-coordinate stays the same when a point is mirrored over the y-axis.

In this instance, the y-coordinate, -15, remains constant but the x-coordinate, 8, of the original point changes to -8 in the reflected point.

This shows that the y-axis is where the reflection took place.

Imagine a coordinate plane with the x-axis running horizontally and the y-axis running vertically in order to see this.

As a vertical mirror, the y-axis reflects points on either side of it.

When a point crosses the y-axis in reflection, it effectively flips to the other side of the axis while keeping its y-coordinate.

In this case, the point (8, -15) is initially situated in the positive x-direction on the right side of the y-axis.

After reflection, it becomes (-8, -15) and appears on the left side of the y-axis in the negative x-direction.

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Answer:

The point is reflected to the Y-axis. It can be either A or B, but I mostly positive it's A.

Step-by-step explanation:

Good luck on the final module exam! I'm counting on you.

Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

Answer:

1/6

Step-by-step explanation:

Derivative Limit Def.

\( \displaystyle \large{ f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h} }\)

We are given the function;

\( \displaystyle \large{f(x) = \sqrt{x + 2} }\)

Therefore:

\( \displaystyle \large{f(x + h) = \sqrt{x + h + 2} }\)

Substitute x = 7, f(x) and f(x+h) in.

\( \displaystyle \large{ f'(x) = \lim_{h \to 0} \frac{ \sqrt{x + h + 2} - \sqrt{x + 2} }{h} } \\ \displaystyle \large{f'(7) = \lim_{h \to 0} \frac{ \sqrt{7 + h + 2} - \sqrt{7 + 2} }{h} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ \sqrt{9 + h } - \sqrt{9} }{h} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ \sqrt{9 + h } - 3 }{h} } \\ \)

Multiply both numerator and denominator by √(9+h)+3

\( \displaystyle \large{ \lim_{h \to 0} \frac{ (\sqrt{9 + h } - 3)( \sqrt{9 + h} + 3) }{h( \sqrt{9 + h} + 3)} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ 9 + h - 9}{h( \sqrt{9 + h} + 3)} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ h}{h( \sqrt{9 + h} + 3)} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ 1}{ \sqrt{9 + h} + 3} } \\ \)

Substitute h= 0 in.

\( \displaystyle \large{ \lim_{h \to 0} \frac{ 1}{ \sqrt{9 + 0} + 3} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ 1}{ \sqrt{9} + 3} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ 1}{ 3+ 3} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ 1}{ 6} }\\ \displaystyle \large \boxed{ \frac{1}{6} }\)

Answer:

6

Step-by-step explanation:

4

Answer:

To find out the first three terms of 2n + 4 substitute 1 ,2 and 3 into the equation.

2(1)+4=2+4=6

2(2)+4=4+4=8

2(3)+4=6+4=10

As you can see the sequence goes up in 3s 6 ,8, 10 To find out the 9th term you also substitute 9 into the equation so

2(9)+4=18+4=22

Hope this helped!

Answer:

B

Step-by-step explanation:

RANGE  are the Y values

Answer:

b

Step-by-step explanation:

Answer:

149 bru

Step-by-step explanation:

The measure of minor arc AG is 149°

For given question,

We have been given a circle D.

We need to find the measure of arc AG.

arc AG

= arc FE + arc FG

= 66° + 83°

= 149°

Therefore, the measure of minor arc AG is 149°

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Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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From the question, r = 8 cm, h =3 cm

Volume of a cylinder = pi x r^2x h = 22/7 x 8 x8 x 3 = 4224/7 = 603.43 cm^3

surface area of a cylinder= 2 x pi x r x h = 2 x 22/7 x 8 x 3 = 1056/7 =

150.86 cm^2

Answer:244

Step-by-step explanation:

Well first I took 7 and 12 multiplied them to get 84 and the added 32 by 5 by multiplying them, To 84 and these are averages so they aren’t exacts and it gave me 244

Answer:

244

Step-by-step explanation:

12+12+12+12+12+12+12=

24+24+24+12=

48+36= 84

32+32+32+32+32=

64+64+32=

128+32= 160

160+84=244

or

12*7= 84

32*5= 160

160+84=244

Explanation:

This problem is a simple percent chage problem. The absoluge change in price was $12−$8=$4. Relative to the original price, it was 412, which is 0.3333 or 33.33%.

Answer:

25

Step-by-step explanation:

Answer:

A 19 yard gain

Step-by-step explanation:

Simple the question answers itself

The perimeter of the shape is 10 inches.

It's important to note that the perimeter of a shape or calculated by adding all the sides together.

In this case, this is a rectangle and the perimeter will be:

Perimeter = 2(length + width)

Length = 4 inches

Width = 1 inch

Perimeter = 2(length + width)

Perimeter = 2(4 + 1)

Perimeter = 10 inches.

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Answer:

x^2               -2x              +5

Step-by-step explanation:

               x^2               -2x              +5

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

2x + 5  /    2x^3      +     x^2       +    0x         + 25

               -(2x^3      +   5x^2)

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

                                    -4x^2       +    0x        

                                  -( -4x^2      -    10x )

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

                                                           10x           + 25

                                                         -(10x            + 25)

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

                                                                                   0

The desired quotient is x^2               -2x              +5

Answer:

Common

Step-by-step explanation: