Calculate the exact value of

70/15 × 14/5

Sequence is take away 6 each time so the next three terms are....

7

1

-5

Answer:

7

Step-by-step explanation:

act

Answer:

$4.34

Step-by-step explanation:

Given the information:

We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:

= the original price (100% - discount rate)

= 5(100% -20%)

= $4

= The actual price*tax rate

= $4*8.5%

= $0.34

=> the total cost of the bunch of balloons :

The actual price + tax price

= $4 + $0.34

= $4.34

Hope it will find you well.

Answer:

reflection of Δa about y=2 results in Δb

Step-by-step explanation:

The single transformation that maps triangle a onto triangle b is: Reflection about y=2

Triangle A should be reflected about y=2 to map it onto Triangle B.

Here, from the given figure we get,

Coordinates of the vertices of triangle (A) are A(1, 3), B(2, 3) and C(1, 5)

After transformation of triangle A, coordinates of the vertices A', B' and C' of the image triangle (B) are,

A'(1, 1), B'(2, 1) and C'(1, -1)

Lets choose point A to find the rule of transformation,

A(1, 3) → A'(1, 1)

Rule → (x, y) → (x, 2 - (y - 2)) or (x, y) → (x, 4 - y)

It shows triangle (A) has been reflected across a line y = 2.

Therefore, Triangle A should be reflected about y=2 to map it onto Triangle B.

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Answer:

[tex]Base (B) = /frac{15x² + 1 + 2}{x}[/tex]

Step-by-step Explanation:

==>Given:

Dimensions of a rectangular prism are expressed as follow:

Volume (V) = 15x² + x + 2

Height (h) = x²

==>Required:

Expression of the Base area (B)

==>Solution:

Volume (V) = Base (B) × Height (h)

15x² + x + 2 = B × x²

Divide both sides by x²

[tex]\frac{15x² + x + 2}{x²} = B

[tex]Base (B) = /frac{15x² + 1 + 2}{x}[/tex]

Answer: c

Step-by-step explanation:

Answer:

Just Make x=0

[tex]y_i=(-c)(-d)^3=cd^3[/tex]

Answer:

y = -8/15

Step-by-step explanation:

log (4y + 1) = log (y - 7) - 2log2

log (4y + 1) = log (y - 7) - log2² (power law)

log (4y + 1) = log [(y - 7)/4]

4y + 1 = (y - 7)/4 (remove log)

4(4y + 1) = y - 7

16y - y = -8

15y = -8

y = -8/15

Answer:

6 seconds

Step-by-step explanation:

- ( 6 - 2)^2 + 16

- (4)^2 + 16

- 16 + 16

= 0

The ball is hits the ground or is at 0 height when x = 6.

Answer:

Probability ≈ 0.1071

Step-by-step explanation:

Consider steps below;

[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]

[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]

[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]

Solution; Probability ≈ 0.1071

Answer:

3. 2x + y = 21.

Step-by-step explanation:

3. The diagonals of a rhombus  are perpendicular and bisect each other.

So the slope of line AC  = -1/m

= -1 / 1/2 = -2.

AC has coordinates (5, 11) so using the point-slope form of a line:

y - 11 = -2(x - 5)

y = -2x + 10 + 11

2x + y = 21.

5.   Line L:

x + 2y = 12

2y = -x + 12

y = -1/2x + 6

The slope is -1/2 so the slope m of M is -1 / -1/2 = 2.

Answer:

For the pen to be as large as possible, the length the farmer should choose for the third side should be 20.52 feet

Step-by-step explanation:

The length of one side of the right triangle = 14 feet

The length of the other side = 15 feet

Therefore, the length of the third side can be one of the following side lengths;

[tex]S_{3,1} = \sqrt{14^2 + 15^2} = \sqrt{421} = 20.52 \ feet[/tex]

[tex]S_{3,2} = \sqrt{15^2 - 14^2} = \sqrt{29} = 5.39 \ feet[/tex]

The possible lengths of the third side of the triangle are;

Third side = 20.52 feet and

Third side = 5.39 feet

b. For the area of the pen to be as large as possible, we have;

With third side = 20.52 feet,  area of the pen = 0.5 × 15 × 14 = 105 ft²

With third side = 5.39 feet,  area of the pen = 0.5 × 5.39 × 14 = 37.7 ft²

Therefore, for the pen to be as large as possible, the farmer should choose 20.52 feet as he third side.

Answer:

a. c ≈ 20.5 ft (first possibility)

    b ≈ 5.4 ft(other possibility)

b. The farmer should choose the side that has 20.5 ft for the third side because it provide more larger area as needed by the farmer.

Step-by-step explanation:

The pen the farmer wants to build is a right angle triangle. one side of the triangle is 14 ft while another side is 15 ft.

A right angle triangle has opposite side, adjacent side and an hypotenuse which is the longest side.

a. To the nearest tenth of a foot, find all possible lengths for the third side of the triangle.

Pythagoras theorem can be used to solve any sides of the triangle when given 2 sides.

We are not told which side is the hypotenuse or the adjacent or the opposites side. Therefore , the possible length for the third side can be computed using Pythagoras theorem.

c² = a² + b²

c = hypotenuse

while a and b can be any of opposite or adjacent sides. The first possible length can be when both sides are the legs of the triangle (no hypotenuse)

c² = 14² + 15²

c² = 196 + 225

c² = 421

c= √421

c = 20.5182845287

c ≈ 20.5 ft (first possibility)

The other possibility of the third side is when the hypotenuse is Known and one other side(either adjacent or opposite). We can use only 15 since it should be the longest side.  

c² = a² + b²

c² - a² = b²

15² - 14² = b²

225 - 196 = b²

b² = 29

b = √29

b = 5.38516480713

b ≈ 5.4 ft(other possibility)

b. The farmer wants the area of the pen to be as large as possible. What length should he choose for the third side? Justify your answer.

The two scenarios are as follows

First area

area = 1/2 × base × height

area = 1/2 × 14 × 15 = 210/2 = 105 ft²

Second area

area = 1/2 × base × height

area = 1/2 × 5.4 × 14 = 75.6/2 = 37.8 ft²

The farmer should choose the side that has 20.5 ft for the third side because it provide more larger area as needed by the farmer.

Answer:

0 y and 60 x so

VVVVVVVVVVVVVVVVVVVVVV

Step-by-step explanation:

its 60 on the x-axis

Answer:

1) [tex]1.276 \times 10^{7}\,m[/tex], 2) [tex]5.101 \times 10^{8}\,km^{2}[/tex], 3) [tex]5.974 \times 10^{24}\,kg[/tex], 4) [tex]7.723\times 10^{9}[/tex], 5) [tex]1.350 \times 10^{18}[/tex], 6) [tex]3.618\times 10^{8}\,km^{2}[/tex]

Step-by-step explanation:

(This exercise is written in Portuguese and for that reason explanation will be held in Spanish, which has strong similarities with that language)

La notación científica presenta el siguiente formato:

[tex]x.y \times 10^{n}[/tex]

Donde:

[tex]x[/tex] - Un dígito entero.

[tex]y[/tex] - Dígitos decimales consecutivos.

[tex]n[/tex] - Grado de potencia.

Para cálculos cotidianos se recomienda el uso de tres decimales consecutivos. A continuación, se presentan los números convertidos a la forma de notación científica:

1) [tex]12.756.000\,m[/tex]

El grado de la potencia es siete (7).

[tex]1.276 \times 10^{7}\,m[/tex]

2) [tex]510.072.000\,km^{2}[/tex]

El grado de la potencia es ocho (8).

[tex]5.101 \times 10^{8}\,km^{2}[/tex]

3) [tex]5.973.600.000.000.000.000.000.000\,kg[/tex]

El grado de la potencia es veinticuatro (24).

[tex]5.974 \times 10^{24}\,kg[/tex]

4) [tex]7.722.522.000[/tex]

El grado de la potencia es nueve (9).

[tex]7.723\times 10^{9}[/tex]

5) [tex]1.350.000.000.000.000.000[/tex]

El grado de la potencia es dieciocho (18).

[tex]1.350 \times 10^{18}[/tex]

6) [tex]361.800.000\,km^{2}[/tex]

El grado de la potencia es ocho (8).

[tex]3.618\times 10^{8}\,km^{2}[/tex]

Answer:

Step-by-step explanation:

How many quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a 40% solution of acid? Answer: quarts

let x = amount of the 50% solution

A typical mixture equation using the decimal equivalent to

0.50x +0 .20(20) =0 .40(x+20)

0.50x + 4 = 0.40x + 8

0.50x - 0.40x = 8 - 4

0.10x = 4

x = 4/0.1

x = 40 qts of 50% solution

Answer:

40 quarts I checked in RSM portal

Answer:

x = 32

y = 16

Step-by-step explanation:

As can be seen in the picture (replace x by z), if the long side length is z√3, the other sides are 2z and z, respectively. (Using z to avoid confusion with your pic).

So z = 16, so x=2z=32, y=x=16

Answer:

4.9 ≤ l ≤ 5.1

Step-by-step explanation:

'I' represents the length of the acceptable length for the board in feet.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
A carpenter is cutting a 2 by 4 framing for a roof. The length needs to be 5 feet.
He allows a 0.1-foot possible variation for the length of the cut. where variation becomes,
5 - 0.1 ≤ I ≤ 5 + 0.1
4.9 ≤ I ≤ 5.1

Thus, 'I' represents the length of the acceptable length for the board in feet.

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Answer:

-1 13/56

Step-by-step explanation:

[tex] \frac{4}{5} \times ( - \frac{ 3}{7} ) - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) = \\ = - \frac{12}{35} - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) \\ = - \frac{12}{35} - \frac{3}{8} + ( - \frac{18}{35} ) \\ = - \frac{96}{280} - \frac{105}{280} - \frac{144}{280} \\ = - \frac{201}{280} - \frac{144}{280} \\ = \frac{345}{280} = - 1 \frac{65}{280} \\ = - 1 \frac{13}{56} [/tex]

#I_hope_this_helps

#save_earth

#stay_at_home

#keep_spirit

Answer:

£14,168

Step-by-step explanation:

Answer:

17. [tex]2^{6}[/tex]

19. 2 * 5

21. 8²

Answer:

y+13 = 5(x+2)

Step-by-step explanation:

y = 5x – 3

This is in slope intercept form  y = mx+b so the slope is m which is 5

We have a slope and a point ( -2, -13)

Point slope form is

(y-y1) = m(x-x1)

y - -13 = 5(x--2)

y+13 = 5(x+2)

Answer:

He is right

Step-by-step explanation:

I just took the quiz on edu

Answer:

100%

Step-by-step explanation:

The factors of 6 are 1, 2, 3, and 6. Since all of the numbers on the spinner are a factor of 6, there is a 3/3=100% chance of that. Hope this helps!

Answer:

100%

Step-by-step explanation:

I just took the test on edgenity

Answer: x² - x - 12

Step-by-step explanation: When multiplying two binomials together, we can use the F.O.I.L. method.

First, Outer, Inner, Last.

We take the product of the first terms which is x² plus the product of the outer terms which is -4x plus the product of the inner terms which is 3x plus the product of the last terms which is -12.

So we have x² - 4x + 3x - 12.

Simplifying from here by combing the middle terms, we have x² - x - 12.

Pay very close attention to your positives and negatives as you F.O.I.L. because this is the area where most mistakes occur.

Answer:

12kg apple will make 189 more sandwiches

Step-by-step explanation:

Here, we are told that 6kg of apple was used to make 90 more sandwiches and we need to know the number of sandwiches that can be made from 12kg of apples.

Now;

6kg made 90 sandwiches

12kg will make x sandwiches

To get x, we simply cross multiply

6 * x = 12 * 90

x = (12 * 90)/6

x = 2 * 90

x = 180 sandwiches

Answer:

the correct answer is 18 - 5i.

Step-by-step explanation:

Answer:

18-5i

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

The ratio of cranberry to blueberry muffins sold was 2/3.

This means that for every 3 blueberry muffins, 2 cranberry muffins were sold.

The ratio of blueberry to cinnamon muffins sold was 4/1.

This means that for every cinnamon muffin, 4 blueberry muffins were sold.

In other words, the ratio of cinnamon muffins to blueberry was 1/4.

60 blueberry muffins were sold on Monday.

This means that the number of cranberry muffins sold was:

2/3 * 60 = 40 cranberry muffins

This also means that the number of cinnamon muffins sold was:

1/4 * 60 = 15 cinnamon muffins

To find how many more cranberry muffins were sold than cinnamon muffins:

40 - 15 = 25 muffins

25 more cranberry muffins were sold.

Answer:

25

Step-by-step explanation:

Answer:

The slope is 5/3

Step-by-step explanation:

5x - 3y = 4

Solve for y

Subtract 5x from each side

5x-5x - 3y =-5x+ 4

-3y = -5x+4

Divide each side by -3

-3y/-3 = -5x/-3 +4/-3

y = 5/3x -4/3

This is in the form

y =mx+b

The slope is m and the y intercept is b

The slope is 5/3

Answer: 30 minutes, 51 seconds

Step-by-step explanation:

Given the time to run each miles to be

9.05/2,24/10/922. That is

9.05, 2.24, 10, 9.22

Time taken for her to run the entire four miles will be

9.05 + 2.24 + 10.0 + 9.22 = 30 :51

30 minutes, 51 seconds

Answer:

2x=125-10. Answer is 57.5

Step-by-step explanation:

It was asking for the length of the missing sides, and both of them are the same so its 2x= something. the other 2 sides are the same length (5) so that's where the 10 comes from. The 125 is the total perimeter. So, first you subtract 10 from 125 and you get 115. And then you divide 2 on both sides and you get x=57.5

I hope this helped :)

If this answer helped the most, give it the brainliest.

Answer:  5²⁻⁵

Step-by-step explanation:

[tex]4^x-4^{x-1}=24\\\\\\3(4^{x-1})=24\\\\\\4^{x-1}=8\\\\\\2^{2(x-1)}=2^3\\\\\\2(x-1)=3\\\\\\x-1=\dfrac{3}{2}\\\\\\x=\dfrac{5}{2}\quad \rightarrow x=2.5[/tex]

[tex](2x)^x\quad =(2\cdot 2.5)^{2.5}\quad =\large\boxed{5^{2.5}}[/tex]

Answer:

D

Step-by-step explanation:

A. The domain of this function is infinite, since x can be any number.

B. To find the y intercept, you need to set x to 0. 7^x will become 1, and 6*1=6, so the y intercept is (0,6).

C. This function is not always decreasing. For instance, when x is positive, it exponenentially increases.

D. As I said before, the y intercept of the function is (0,6), meaning that this statement is correct.

Hope this helps!