√(14)*(3 √(7) + √(32) - √(28) + 2 √(2))

Answers

Answer 1

Answer:

  27√2 -2√7 ≈ 32.8923

Step-by-step explanation:

Apparently, you want to simplify the expression √(14)*(3 √(7) + √(32) - √(28) + 2 √(2)).

Rules of radicals

  (√a)(√b) = √(ab)

  √(a²b) = a√b

Application

  [tex]\sqrt{14}\cdot3\sqrt{7}+\sqrt{32}-\sqrt{28}+2\sqrt{2}\\\\=3\sqrt{14\cdot7}+\sqrt{4^2\cdot2}-\sqrt{2^2\cdot7}+2\sqrt{2}\\\\=3\sqrt{7^2\cdot2}+4\sqrt{2}-2\sqrt{7}+2\sqrt{2}=(3\cdot7+4+2)\sqrt{2}-2\sqrt{7}\\\\=\boxed{27\sqrt{2}-2\sqrt{7}}[/tex]


Related Questions

Look at this graph:
10
9
8
7
5
4
3
2
1
0 1 2 3 4 5 6 7 8
What is the slope?

Answers

The slope of the line is -1

First we have to choose two points

The coordinates of the first point = (9, 1)

The coordinates of the second point = (8, 2)

The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line.

The slope of the line m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where m is the slope of the line

[tex](x_1,y_1)[/tex] is the coordinates of the first point

[tex](x_2,y_2)[/tex] is the coordinates of the second point

Substitute the values in the equation

The slope of the line = (2-1) / (8-9)

= 1 / -1

= -1

Hence, the slope of the line is -1

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explain why the exterior angle of a regular polygon could be 20* 30* or 40* but not 50*

Answers

Answer:a polygon cannot have 7.2 sides

Step-by-step explanation:

each exterior angle of a regular polygon with n sides is equal and these angles add up to 360∘ . a polygon cannot have 7.2 sides. since , the exterior angle of a regular polygon cannot be 50∘

Offering points for who can help me with this

Answers

Answer:

204 feet^2

Step-by-step explanation:

rectangle area = 18 * 10 = 180 feet^2

triangle width = 18 - 10 = 8 feet

triangle area = 6 * 8 /2 = 24 feet^2

total area = 180 + 24 = 204 feet^2

Find the inverse of the function y=2x+8

Answers

The inverse function of the given is [tex]y^-1[/tex]= [tex]\frac{x}{2}[/tex]-4 .

What is inverse function?

The domain of the original function becomes the range of the inverse function, and the range of the given function becomes the domain of the inverse function. The inverse function is denoted by the notation f-1 in relation to the original function f. Swapping (x, y) with (y, x) with reference to the line y = x yields the graph of the inverse function. Only when f is both a one-one and an onto function does it have an inverse, indicated by the symbol f-1. Keep in mind that f-1 is NOT f's inverse. The domain value of x is given by combining the function f and the reciprocal function f-1.

Here the given function is,

=> y = 2x+8

Now interchange x and y then

=> x=2y+8

Now simplify the expression with respect to y then,

=> x-8=2y

=> y = [tex]\frac{x}{2}[/tex]-4

=>[tex]y^-1[/tex]= [tex]\frac{x}{2}[/tex]-4

Hence inverse function is [tex]y^-1[/tex]= [tex]\frac{x}{2}[/tex]-4 .

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an experiment may have: a. only one outcome b. only two outcomes c. two or more outcomes d. several events

Answers

Using the concepts of  probability, we got that an experiment may have d) several events

Event is called one or more outcomes of an experiment. Example of this is -rolling a dice, we get a possible outcomes as {1,2,3,4,5,6}.

In an experiment there can be one outcome, two outcomes, more than two outcomes or several outcomes.

An event is the collection of one or more of the outcomes of an experiment. An event that actually includes one and only one of the (final) outcomes for an experiment is called the simple event and is denoted by Ei.

Hence, an experiment may have d)several events

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IF LINE TV IS PARALLEL TO LINE ZX AND LINE ZX IS PARALLEL TO LINE QS, THEN IS LINE TV PARALLEL TO LINE QS BY TRANSITIVE PROPERTY?

Answers

Yes line TV is also parallel to line QS according to transverse property

What is transverse property?

According to the transitive property, all the quantities are equal to each other if two quantities are equal to the third quantity.

When the term equal is replace by parallel it suits the case at hand hence transitive property of parallel lines is introduced

When attempting to demonstrate that several parallel lines have congruent properties, the transitive property of parallel lines can be used to create a link between numerous equal quantities.

Therefore, it can be interpreted as: if line TV || line ZX and line ZX || line QS then line TV || line ZX

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The area of a circle is 25pieft2. What is the circumference, in feet? Express your answer in terms of pie​

Answers

The circumference of the circle in feet is 10π feet.

According to the question,

We have the following information:

Area of the circle = 25π square feet

We know that the following formula is used to find the area of circle:

π[tex]r^{2}[/tex] where r is the radius of the circle

π[tex]r^{2}[/tex] = 25π

Dividing by π on both the sides:

[tex]r^{2}[/tex] = 25

r = 5 feet ...(1)

We know that the following formula is used to find the circumference of circle:

2πr

Putting the value of r from equation 1:

2π*5

10π feet

Hence, the circumference of the circle in feet is 10π feet.

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Find the fourth degree polynomial that contains the origin and to which the line x+2y=14 is tangent at both x=4 and x=-2.

Answers

Answer: 60,30,180, and 37

Step-by-step explanation:

Which decimal is equivalent to \
{31}{9}
9
31

start fraction, 31, divided by, 9, end fraction?

Answers

Answer:
3.4
Step-by-step explanation:
When they are saying equivalent it means
they are NOT looking for something the
same but something that's equal to the
solution.

Which statement is the correct interpretation of the inequality –5 > –6? (1 point)

a
On a number line, −5 is located to the left of 0 and –6 is located to the right of 0.
b
On a number line, −5 is located to the right of 0 and –6 is located to the left of 0.
c
On a number line, −5 is located to the left of –6.
d
On a number line, −5 is located to the right of –6.

Answers

The correct statement of the inequality representation is d On a number line, −5 is located to the right of –6.

What is a number line?

A number line is a horizontal representation of parts with equal intervals

The numbers in a number line is arranged to be increasing from left to right , hence drawing a number line will have the smaller values to the left of the bigger values

-5 > -6

this is read as -5 is greater than -6 therefore

-6 will at the left of -5 or -5 will be to the right of -6

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what is f(-3) for the function f(x) = 2x^2 + 5? need answer ASAP please!

Answers

Answer:

F(-3)= 23

Step-by-step explanation:

F(-3)= 2(-3)^2 + 5

Have a good day!!

Hope this helps!

1. Fill in the missing Terms for the sequence
2. Find the number the sequence is going by
3. Write the explicit formula

Answers

The answer  r = 7, and the missing terms are -2, -14, -98, -686, -4802. in the Geometric progression.

What is Geometric progression?

A geometric progression, sometimes termed a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio. A geometric progression with the common ratio 3 is, for instance, the sequence 2, 6, 18, 54,... A geometric series having a common ratio of 1/2 is also 10, 5, 2.5, 1.25, etc.

By calculating the product of the values of a set of numbers, the Geometric Mean (GM) is the average value or mean that denotes the central tendency of the data. The average of the data set's numbers is defined by the mean. There are several distinct forms of means, including arithmetic mean (AM), geometric mean (GM), and harmonic mean (HM).

Here 1st term a = -2

4th term given is ar³= -686

r³= -686/-2

r=∛343

a) r=7

2nd term will be  -14

3rd term will be -98

5th term will be -4802

b) -2, -14, -98, -686, -4802.

Hence, r = 7, and the missing terms are -2, -14, -98, -686, -4802.

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What effect do you think the sample size have on the mean of the sampling distribution of the mean?.

Answers

The effect that sample size on the mean of the sampling distribution has is that it effects the variations .

In the question ,

If the sample size is increased ,

which means if the number of sample is increased then the errors in the sampling distribution becomes very less .

and if the sample size is decreased then it leads to the increase in the error  of the distribution .

The formula for the relationship between variation and sample size is given by ,

σx = σ / sqrt (n)

we can see that the variation and sample size are inversely proportional .

Which means that increase in the sample size results in a reduction of variation.

Therefore , The effect that sample size on the mean of the sampling distribution has is that it effects the variations .

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a car dealer buys a car for $500, gives it a clean new, is sold for $100. what is the percentage of loss​

Answers

Answer:

Step-by-step explanation:

1. Find decrease.

If the car dealer bought the car for 100$ and only received 100$ for selling the car, he had 400$ in disadvantage!

2. Caculate Percent Loss:

400/ 500*100=

400/5=

80

There was a 80% decrease from the starting value!

Answer: 80% decrease!

Why is the following no solution?
|x| = -5

Answers

It’s because the absolute value of a number can never be negative.

The absolute value is the distance of a number from 0 without considering direction, and distance can’t be negative

Could I get help with this?

Answers

Answer: convergencnt

Step-by-step explanation:

Two angles of a quadrilateral measure 260° and 15º. The other two angles are in a ratio of 7:10. What are the measures of those two angles?

Answers

The measures of those two angles are 35° and 50°.

How to calculate the angle?

It's important to note that the sum of angles on a quadrilateral is 360°. In this case, two angles of a quadrilateral measure 260° and 15º.

The remaining angles will be:

= 360° - (260° + 15°)

= 85°

Since the other two angles are in a ratio of 7:10, the measure will be:

= 7 / (7 + 10) × 85°

= 7/15 × 85°

= 35°

Also, 10/17 × 85°

= 50°

The angles are 35° and 50°.

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3/4x - 3 = 5/6 Rewrite the equation below so that it does not have fractions.
Do not use decimals in your answer.

Answers

Answer:

18x - 72 = 20

Step-by-step explanation:

[tex] \rm \implies \dfrac{3}{4} x - 3 = \dfrac{5}{6} \\ \\ \rm \implies \dfrac{3}{4} x - 3 \times \frac{4}{4} = \dfrac{5}{6} \\ \\ \rm \implies\dfrac{3}{4} x - \frac{12}{4} = \dfrac{5}{6} \\ \\ \rm \implies \frac{3x - 12}{4} = \frac{5}{6} \\ \\ \rm \implies \frac{3x - 12}{ \cancel{4}} \times \cancel{4} = \frac{5}{6} \times 4 \\ \\ \rm \implies 3x - 12 = \frac{20}{6} \\ \\ \rm \implies (3x - 12) \times 6 = \frac{20}{ \cancel{6}} \times \cancel{6} \\ \\ \rm \implies 18x - 72 = 20 [/tex]

[tex]\sf x+ (-9) =-18[/tex]
what's the value x ?​

Answers

Answer:

x = -9

Step-by-step explanation:

Below:-


Answer:

x = -9

Step-by-step explanation:

Given equation,

→ x + (-9) = -18

Now the value of x will be,

→ x + (-9) = -18

→ x - 9 = -18

→ x = -18 + 9

→ [ x = -9 ]

Hence, the value of x is -9.

4x+y=104, x, plus, y, equals, 10
Complete the missing value in the solution to the equation.

Answers

Answer:36,37,38,39 one of the those or between

Step-by-step explanation:

Solve the equation.
3(-2x+1)-2(x+13)=7x-4(1-x)

Answers

x=-1

Step-by-step explanation:

3(-2x+1)-2(x+13)=7x-4(1-x)

-6x+3-2x-26=7x-4+4x

-8x+3=7x-4+4x+26

-8x+3=7x+4x+22

-8x+3=11x+22

-8x-11x=22-3

-19x=19

-19/19x = 19/-19

x = -1

Simplify:

[tex]\frac{4-i\sqrt{2}}{4+i\sqrt{2}}[/tex]

Answers

(7-4i)√2/7 is the simplified form of (4-i√2)/(4+i√2)

What is complex number?

a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit

The given expression is

(4-i√2)/(4+i√2)

Now we have to rationalize the above expression

((4-i√2)/(4+i√2))×((4-i√2)/(4-i√2))

(4-i√2)(4-i√2)/(4+i√2)(4-i√2)

16-4i√2-4i√2-2/16-2

16-8i√2-2/14

14-8i√2/14

2(7-4i√2)/2(7)

(7-4i)√2/7

Hence (7-4i)√2/7 is the simplified form of (4-i√2)/(4+i√2)

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A basketball has a volume of about 452.1 cubic inches. Fine the radius of the basketball in inches

Answers

The radius of the basket ball having volume 452.1 cubic inches is 4.76 inches.

What is the volume?

Volume is the 3 dimentional occupied space by any object. It is measured in SI units [tex]\textnormal{m}^3[/tex] and other derived units like [tex]\textnormal{in}^3[/tex].

All properties of a spherical shape is defined by its radius. The shape of a basketball is spherical hence, the formula of the volume is given by the followin expression:

[tex]V=\frac{4}{3}\pi r^3[/tex]

Here, V is the volume of the basket ball and r is the radius of the basket ball.

Rearrange the above equation for [tex]r[/tex].

[tex]3V=4\pi r^3\\\frac{3V}{4\pi}= r^3[/tex]

[tex]r=[\frac{3V}{4\pi}]^{1/3}[/tex]

Substitute values.

[tex]V=[\frac{3(452.1 \ \textnormal{cubic inches})}{4\pi}]^{1/3}\\=4.76 \ \text{inches}[/tex]

Hence, the radius of the basket ball is 4.76 inches.

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[tex]\sf 10+2x=4[/tex]

Answers

10 + 2x = 4
-10
2x = -6
/2
x = -3

Answer: x = -3

Answer:

10+2x=4

first, by using inverse operations subtract 10 on both sides.

10-10+2x=4-10

4-10 is -6. whys the 6 negative? because the number takes the sign of the bigge number.

2x=-6

Divide by 2 to isolate x

2x÷2=-6÷2

In multiplication and division one negative sign stays and 2 negative signs cancel eachother but here theres only one negative sign so;

~~~~~~~~~~~~~~~~

X=-3

Suppose we are given the following.
Line 1 passes through (-3, 8) and (0,4).
Line 2 passes through (4, 4) and (-4,-2).
Line 3 passes through (4, 1) and (8,4).
(a) Find the slope of each line.
Slope of Line 1-
Slope of Line 2-
Slope of Line 3-0
(b) For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2: OParallel
Line 1 and Line 3:
OParallel
Line 2 and Line 3:
OParallel
Operpendicular ONeither
Operpendicular
ONeither
OPerpendicular
Neither

Answers

Slope of line 1 is -4/3, slope of line 2 is 3/4, slope of line 3 is 3/4, and  Line 1 and Line 2 are perpendicular, Line 1 and Line 3 are also perpendicular, Line 2 and Line 3 are parallel.

What is slope of a line?

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate points and calculating the slope of a line are related tasks. In general, we require the values of any two separate coordinates on a line in order to determine its slope.

Slope of a line can be calculated using the formula:

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

Here, m = slope and (x1, y1), (x2, y2) are two points on the line,

Calculating the slope of line 1 whose points are (-3, 8), (0, 4)

[tex]m = \frac{4 - 8}{0 - (-3)}[/tex]

m = -4/3

Calculating the slope of line 2 whose points are (4, 4), (-4, -2)

[tex]m = \frac{-2 - 4}{ -4 - 4}[/tex]

m = 3/4

Calculating the slope of line 2 whose points are (4, 1), (8, 4)

[tex]m = \frac{4 - 1}{ 8 - 4}[/tex]

m = 3/4

Now we know that if lines are parallel that their slope is equal and when lines are perpendicular the product of their slope is -1,

Therefore, Line 1 and Line 2 are perpendicular, Line 1 and Line 3 are also perpendicular, Line 2 and Line 3 are parallel.

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it would be great if someone could help me with these please?

Answers

Answer:

Find the angle measurement like a 90 degree angle or something for both of them and then find the solution following it. If you need further help post the question with the name where these questions are posted!

PLEASE GIVE BRAINLIEST THANK YOU!!!

5[tex]\sqrt{8}[/tex]simplified

Answers

Answer:

[tex]10\sqrt{2}[/tex]

Step-by-step explanation:

To simplify a square root you have to find any perfect square numbers.

(ex. 4, 9, 16, 25 ...)

[tex]\sqrt{8} = \sqrt{2*4} = \sqrt{2} * \sqrt{4}[/tex]

Simplify:

[tex]\sqrt{4} = 2[/tex]

[tex]2 \times \sqrt{2}\\ = 2\sqrt{2}[/tex]

Don't forget to multiply the 5, so:

[tex]5 \times 2\sqrt{2}\\ = 10\sqrt{2}[/tex]

sketch a graph that shows the relationship between grams of honey and cups of flour needed for a bakery recipe. Show on the graph how much honey is needed for 17 cups of flour

Answers

Sketch a graph that shows the relationship between grams of honey and cups of flour needed for a bakery recipe. To know how much honey is needed for 17 cups of flour

Given data:

Let flour x grams plotted on x-axis

honey y grams plotted on y-axis

We have 2 points to find the slope of linear equation

[tex]m = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } = \frac{35-14}{25-10} = \frac{21}{15} = \frac{7}{5} = 1.4[/tex]

[tex](x_{1}, y_{1}) = (10,14)\\ \\(x_{2}, y_{2}) = (25,35)[/tex]

Linear equation is

y = mx+c

[tex]y = \frac{7}{5}x+c = 1.4x+c[/tex]

Adding points (10,14) in above equation

[tex]y = \frac{7}{5}x+c \\\\14 = \frac{7}{5}*10+c\\ \\[/tex]

c = 0

So, the relation between x grams of flour requires y grams of honey is

[tex]y = \frac{7}{5}x[/tex]

or

y = 1.4x

When x = 17

[tex]y = \frac{7}{5}*17 = 23.8[/tex]

Hence the answer is, y = 23.8 g of honey is needed for 17 cups of flour.

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The tens digit of a two-digit number is five more than the units digit. The number itself is equal to the sum of its digits multiplied by 8. Find the number

Answers

Answer:

72

Step-by-step explanation:

- reason why it's 72

tens            ones

(2+5)=7             2

A/Q:

7+2=99*8=72

What did I do wrong?

Answers

Step-by-step explanation:

I gone through your work and I don't see anything wrong.

Try reaching out to your teacher.

Answer:

You answered every question correctly. All ten of them. The program you are using has some issues. lol

Step-by-step explanation:

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