Find the value of x for which ABCD must be a parallelogram.

Answer options:


5


3


17


34

The new area of the given replica's base is; 6250 m²

We are given;

Area of base of statue = 625 m²

Now, an artist wants to create a replica of the base of statue but in the ratio 1:10.

This means that the area will increase by a factor of 10 as 1 sq.unit of the old area will represent 10 sq. units in the new one.

Thus, new area = 625 * 10

New area of statue = 6250 m²

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Answer:

19.3 cm to 3 sig figs

Step-by-step explanation:

See attached image.

The phone number is in Maintenance rehearsal.

Maintenance rehearsal is a rehearsal technique that involves straight repetition of data values or information(s) to memorize and remember them.

This rehearsal technique is often referred to as rote rehearsal. The repetition of the digits of a phone number by Alex again and again while he is getting out his phone to enter it into his contacts is an example of maintenance rehearsal.

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Answer:

a + 4b - 24

Step-by-step explanation:

simply multiply 4 to the numbers in the brackets. If there is an unknown variable then write it as it is. Don't forget the to multiply the signs as well.

4 x 1/4a = 1a = a

4 × b = 4b

4 × -6 = -24

Answer:

a + 4b - 24

Step-by-step explanation:

Expand brackets. Each term in the brackets is multiplied by 4.

4( 1/4a) + 4(b) + 4(-6)

4/4a + 4b - 24

Answer:

11.776

Step-by -step explanation:

Here we are given a equation which is ,

[tex]\rm\longrightarrow 10^{x-10}-8=51.7 [/tex]

And we would like to solve this using logarithms , so firstly add 8 on both sides , we get ;

[tex]\rm\longrightarrow 10^{x-10}= 51.7+8 [/tex]

Simplify,

[tex]\rm\longrightarrow 10^{x-10}= 59.7 [/tex]

Now take log to the base 10 on both sides ,

[tex]\rm\longrightarrow log_{10}10^{x-10}=log_{10}(59.7) [/tex]

Recall that [tex]log\ m^n = n\ log m [/tex] .So ;

[tex]\rm\longrightarrow (x-10)(log_{10}10=log_{10}(59.7) [/tex]

Again recall that [tex] log_a a = 1[/tex] .So ; here [tex]log_{10}10[/tex] becomes 1 .

[tex]\rm\longrightarrow (x -10)1 = log_{10}59.7 \\ [/tex]

[tex]\rm\longrightarrow (x-10)= log_{10}(59.7)[/tex]

And the value of log 59.7 = 1.7759 . So on substituting this value , we have ;

[tex]\rm\longrightarrow x -10 = 1.7759 [/tex]

Add 10 to both sides ;

[tex]\rm\longrightarrow x = 10+1.7759 [/tex]

Simplify,

[tex]\rm\longrightarrow \underline{\underline{\red{\rm { x = 11.7759 \approx 11.776}}}}[/tex]

And we are done !

[tex]\rule{200}4[/tex]

[tex]\large\red{\bigstar}\underline{\underline{\textsf{\textbf{ Some related formulae :- }}}}[/tex]

[tex]\boxed{\boxed{\begin{minipage}{5cm}\displaystyle\circ\sf\ ^{a} log \ a= 1\\\\\circ \ ^{a}log \ 1 = 0 \\\\\circ \ ^{a ^{n}} log \ b^{m}= \dfrac{m}{n} \times\:^{a}log \ b \\\\\circ \ ^{a^{m}} \ log \ b^{m} = \ ^{a}log \ b \\\\\circ \ ^{a}log \ b = \dfrac{1}{^{b}log \ a} \\\\\circ \ ^{a}log \ b = \dfrac{^{m}log \ b}{^{m} log \ a} \\\\\circ \ a^{^{a} logb} = b \\\\\circ \ ^{a}log \ b + ^{a}log \ c = \ ^{a}log(bc) \\\\\circ \ ^{a}log \ b -\: ^{a}log \ c = \ ^{a}log \left( \dfrac{b}{c} \right) \\\circ \ ^{a}log \ b \:\cdot\: ^{a}log \ c = \ ^{a}log \ c \\\\\circ \ ^{a}log \left( \dfrac{b}{c} \right) = \ ^{a}log \left(\dfrac{c}{b}\right)\end{minipage}}} [/tex]

See the image below.

The equation of the sleeping bag is a linear equation

The ordered pair that does not belong is (74,66)

The equation is given as:

y = x + 8

Subtract x from both sides

y - x = 8

This means that the difference between the y and the x values is 8.

From the list of options, we have:

72 - 64 = 8

78 - 70 = 8

80 - 72 = 8

66 - 74 = -8

The difference between 66 and 74 is -8.

Hence, the ordered pair that does not belong is (74,66)

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Answer:

s=32

Step-by-step explanation:

[tex]\frac{-5}{-5}(s -30) = \frac{-10}{-5}[/tex]

Divide both sides by -5

s-30=2

Add 30 to both sides

[tex]s-30+30=2+30[/tex]

s=32

Answer:

x< 1/2 is the answer

Answer: 8/15

jk^2+kl^2=lj^2

jk^2+16^2=34^2

jk^2+256=1156

jk= sqrt(1156-256)

jk=sqrt(900)

jk=30

tan J= KL/JK

= 16/30

=8/15

Step-by-step explanation:

Answer:

5b+3n=30

Step-by-step explanation:

trust me

Answer:

27.25408 grams

Step-by-step explanation:

For each year, we subtract 8% of the sugar content. Therefore, for the first year, we subtract 8% from the original sugar content of 35 to get

sugar content - 8% of the sugar content = 35 - 8% of 35 = 35 - 0.08 * 35 = 1 * 35 - 0.08 * 35 = 0.92 * 35. It can therefore be concluded that subtracting 8% of the sugar content is the same as multiplying the current sugar content by 0.92. We do this every year, so the second year is (0.92 * 35) * 0.92 and the third year is ((0.92 * 35) * 0.92) * 0.92 = 27.25408 grams

A pattern develops, and that is that we multiply by 0.92 each year. Therefore, for x years, we multiply by 0.92 x times or 0.92ˣ as a whole. Therefore, our equation can be written as 0.92ˣ * original amount = 0.92ˣ * 35

Answer:

Step-by-step explanation:

price after 5 years

[tex]=24000(1-\frac{13.5}{100} )^5\\=24000(1-0.135)^5\\=24000(0.865)^5\\\approx 11622.29[/tex]

i assumed 13.5%

Answer:

  ₹4700

Step-by-step explanation:

The interest, rate of interest, principal, and period of time are related by the simple interest formula. An unknown value can be found using this formula with the known values filled in.

  I = Prt . . . . interest on principal P at annual rate r for t years

  ₹1222 = P(0.065)(4) . . . . . using the given values

  ₹1222/0.26 = P = ₹4700 . . . . divide by the coefficient of P

The principal that earns the given amount of interest is ₹4700.

Answer:

the answer is 5.45

Step-by-step explanation:

Answer:

first option

Step-by-step explanation:

x² - 8x = 3

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 3 + 16

(x - 4)² = 19 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{19}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{19}[/tex]

then

x = 4 - [tex]\sqrt{19}[/tex] , x = 4 + [tex]\sqrt{19}[/tex]

Answer:

Step-by-step explanation: convert .215(x+1.862)(x-2.862)to the required form: 43x2- 200 43x200-57287223 50000000 answers is the last part.

Answer:

Yes, death opened the eyes of Ponyboy from the book 'The Outsiders' by S.E Hinton. The death of Johnny makes Ponyboy realize that death can happen to anyone at any time, and that he needs to live life while he can. When Johnny talks to Ponyboy at the hospital about how disappointed he was that he didn't have enough time to see everything he wanted to see, Ponyboy realizes he needs to live life to the fullest. Likewise, when Dally is shot by the police officers, Ponyboy realizes how precious and fragile life is. He feels sad about how Dally died, and how tragic it was. This is how death opened the eyes of Ponyboy in the book, The Outsiders by S.E. Hinton.

Answer:The numbers are 48 and 40

Step-by-step explanation:

Answer:

The two numbers are 48 and 40

Step-by-step explanation:

Solve for the unknown numbers by representing them with two different variables.

I chose X and Y.

Solve using simultaneous equations and you will get 48 and 40

Hope that helps :)

By maxima and minima concept, p = $12.50 gives the maximum revenue as $312.50

Expression to model number of backpacks = -2p + 50

As we know that

Revenue collected = Price of a backpack * Number of backpacks

If price  = $9

Number of backpacks = -2*9+50 = 32

Revenue collected = 9 * 32 = 288

If price  = $10

Number of backpacks = -2*10+50 = 30

Revenue collected = 10*30 = 300

If price = $11

Number of backpacks = -2*11+50 = 28

Revenue collected = 11 *28 = 308

If price = $12

Number of backpacks = -2*12+50 = 26

Revenue collected = 12* 26= 312

If price = $13

Number of backpacks = -2*13+50 = 24

Revenue collected = 13 * 24= 312

Since revenue at p=12 and p=13 is the same, it means by the first derivative principle max revenue will be at an average of  points p=12 and p=13

Average value = (12+13)/2 = 12.5

It says that if we get the maximum value at a point, the function value at the same distance in its neighborhood will be equal.

Revenue at p=12.5:

12.5* [-2*12.5+50] = 312.5

Therefore, p = $12.50 gives the maximum revenue as $312.50.

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80 = 3x - 4

84 = 3x

x = 28

Answer:

9

Step-by-step explanation:

6a=54

a=54/6

a=9

Answer:

2 gallons

Step-by-step explanation:

4 quarts = 1 gallon

2 pints in a quart

2 cups in a pint

8 ounces in a cup

1/2 gal of orange juice

1/4 gal of milk

1 gal of chocolate milk

1/4 of lemonade

so in total you get 2 gallons! :)

Answer:

1 and 1/2 multiplied by 2

1 and 1/2 doubled

Answer=3

Since 1 and 1/2 are equal to 1.5, you can add 1.5 to 1.5 to successfully multiply it, getting 3.

Step-by-step explanation:

Answer:

6^-2

Step-by-step explanation:

To answer this, you need to know one basic law of indices:

x^-n = 1/x^n

So here 1/36 is the same as 36^-1.

Then we can simply sqr root 36 to give (6^2)^-1.

When two powers are one in and one out of the brackets, they multiply each other. So here it would be 2*-1, which would give -2.

So the answer is 6^-2.

Answer:

[tex]\displaystyle 6[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-3 + 9}{-1 + 2} = m; \boxed{6 = m}[/tex]

I am joyous to assist you at any time.

Answer

B.105 in 3

Step-by-step explanation:

7 x 5 x 3 = 105

Answer:

B)  Branch A is an exponential function, Branch B is a linear function

Step-by-step explanation:

Branch A is an exponential function as it doubles each week.

Let y = number of visitors

Let x = number of weeks

[tex]y=20(2)^{x-1}[/tex]

Branch B is a linear function as it increases by 4 each week:

Let y = number of visitors

Let x = number of weeks

[tex]y=4x + 16[/tex]