Solve for x in the given triangle. A) -9 B) -7 C) 7 D) 6

Answer:

4x^2 -16

Step-by-step explanation:

(2x + 4)(2x - 4)

FOIL

first:2x*2x = 4x^2

outer: -4 *2x = -8x

inner:  4*2x = 8x

last: -4*4 = -16

Add them together

4x^2 -8x+8x =-16

4x^2 -16

The multiplication of the expression (2x + 4)(2x - 4) is 4x² - 16.

Given the expression in the question:
(2x + 4)(2x - 4)

We can multiply the expression (2x + 4)(2x - 4) using the distributive property and the FOIL method.

(2x + 4)(2x - 4)

Apply the FOIL method:

2x( 2x - 4 ) + 4( 2x - 4 )

Apply distributive property:

2x × 2x + 2x × - 4 + 4 × 2x 4 × - 4

Multiply the terms:

4x² - 8x + 8x - 16

Collect and add like terms:

4x² - 16

Therefore, the simplified form is 4x² - 16.

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Answer:16.7 %

Step-by-step explanation:

5/30

There's 1/6= .16666666

16 2/3 or 16.7 round

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

3c +20

Step-by-step explanation:

5c+2(10−c)

Distribute

5c+ 20 -2c

Combine like terms

3c +20

Answer:3c+20

Step-by-step explanation:

Distribute

5c+(2)(10)+(2)(-c)

5c+20+-2c

Combine Like Terms:

(5c+-2c)+(20)

3c+20

Hope I helped:)

Answer:

First 4-digit multiple of 5 is 1000. It is the least 4-digit number and it is multiple of 5.

Last 4-digit number is 9999 which is not a multiple of 5 and so are 9998, 9997, 9996. Largest 4-digit number which is multiple of 5 is 9995.

Number of 4-digit multiples of 5  = 9995 − 1000 /5 + 1 = 8995/ 5 + 1 = 1799 + 1 = 1800

Step-by-step explanation:

A number  x  is said to be a multiple of number  n  if  n  divides the number  x

. One important observation is if  x  is a multiple of  n  then the next multiple of  n  is  x + n

. Hence the multiples of number  n  occur in differences of  n

Suppose  x  and  y  are multiples of  n

. Number of multiples of  n  between  x  and  y

including them is given by  y − x  / n + 1

Because for every n numbers in between  x  and  y  there is a multiple of  n

Combination helps to know the number of ways objects can be arranged. The 4-digit numbers that are multiples of 5 are 1800.

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

[tex]^nC_r = \dfrac{n!}{r!(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

In order to make a 4 digit number divisible by five the number must end with either 5 or 0, and for the number to be a 4 digit number, it can not start with 0. therefore, the first place can be occupied by any number from 1 to 9, the second place can be occupied by any number from 0 to 9, the third number can be occupied by any number from 0 to 9, and the fourth number can be occupied by any number from 0 or 5. Thus, the possible options are,

[tex]= ^9C_1 \times ^{10}C_1 \times ^{10}C_1 \times ^2C_1\\\\= 9 \times 10 \times 10 \times 2\\\\= 1800[/tex]

Hence, the 4-digit numbers that are multiples of 5 are 1800.

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Answer: 90% of the time.

Step-by-step explanation: This is because you can add the two different times and the standard time of 75 seconds, divide it all by 3 leaving you with 75.2 and that is 0.2 away from the original between those times all together. Take that 0.2 and subtract it from the 1.1 deviation and you’ll get 0.9 times that by 100 and you get it in a percentage; 90%.

Answer:

true

Step-by-step explanation:

u can colour code it an say what it means

It can be read as "six cubed."

It can be read as "six to the power of three."

It has a base of 6.

It is the same as multiplying three factors of 6.

It has an exponent of 3.

Have a Nice Day

Answer:

terragamer303 is correct!

Step-by-step explanation:

Answer:

volume = area of triangle * height = 12.124355653*14/2    *    20 = 1697.40 m3

Step-by-step explanation:

the triangle is equilateral triangle ->

a^2 = 14^2 - 7^2 = 147

-> a = 12.124355653

volume = area of triangle * height = 12.124355653*14/2    *    20 = 1697.40 m3

Answer:

[tex]196meters^2[/tex]

Step-by-step explanation:

The formula for the area of a triangle is : [tex]\frac{base*height}{2}[/tex]

To work this out you would first have to work out the area of the triangle. You can do this by multiplying the base of 14 by the height of 14, this gives you 196.

The next step is to divide the answer of 196 by 2, this gives you 98. This is because the formula is the same as that for the area of a square and that a triangle would be half of a square with the same dimensions.

The final step is to multiply 98 by the length  of 20, this gives you 1960 meters cubed.

1) Multiply 14 by 14.

[tex]14*14=196[/tex]

2) Divide 196 by 2.

[tex]196/2=98[/tex]

3) Multiply 98 by 20.

[tex]98*20=196meters^2[/tex]

Answer:

I know this is late, but the answer is C (192 m2)

Step-by-step explanation:

It was a question on Edge, and i got it wrong the first time (I picked D) But then I picked C (192) and got it right.

Hope this helps!

Answer:

c

Step-by-step explanation:

took the test

===========================================================

Explanation:

The half-life is 35 hours. This means every 35 hours, the amount of the substance is cut in half. If we started with 100 grams, then 35 hours later, we will have 50 grams. Then another 35 hours later we will then have 25 grams, and so on.

In this case, we start with 904 grams and follow this sequence:

904, 452, 226, 113, ...

Each term is cut in half. Going from term to term it takes 35 hours each. The third term 226 is the result of waiting two half-lives, which is 2*35 = 70 hours that have elapsed total.

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

If you want to use a formula, then it would be

[tex]y = A*\left(\frac{1}{2}\right)^{x/H}[/tex]

where,

H = half-life duration (in this case, it is 35)

A = starting amount (which is 904 in this case)

x = amount of time that has elapsed (we will plug in x = 70)

y = final amount after x units of time has elapsed

note that x and H must have the same time unit. Both are in terms of hours in this case.

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

So we will plug A = 904, x = 70, H = 35 into the formula to get...

[tex]y = A*\left(\frac{1}{2}\right)^{x/H}\\\\y = 904*\left(\frac{1}{2}\right)^{70/35}\\\\y = 904*(0.5)^{2}\\\\y = 904*(0.25)\\\\y = 226\\\\[/tex]

We see that x = 70 leads to y = 226. This means after 70 hours, there is 226 grams of the material left.

Answer

B. 608

Step-by-step explanation:

38-14=24

24*16=384

14*16=224

384+224=608.

you are welcome!!

The area of the figure is  608 square centimeters.

How to determine the area of the trapezoid?

Given

A trapezoid with a short base of eighteen centimeters, long base of thirty-eight centimeters, height of sixteen centimeters, and diagonal side lengths of twenty centimeters.

Thus,

38-14=24

24*16=384

14*16=224

384+224=608.

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Answer:

128

Step-by-step explanation:

The sum of angles in the triangle is 180 degrees

12 + 40 + x = 180

52 + x = 180

x= 180 - 52 = 128 degrees

(x is the third angle of the triangle)

The measure of the third angle of the triangle is 128degrees

The sum of an interior angle of a triangle is 180 degrees.

Let the third angle of the triangle be x, hence;

12 + 40 + x = 180

52 + x = 180

Subtract 52 from both sides

52 + x - 52 = 180 - 52

x = 180- 52

x = 128degrees

Hence the measure of the third angle of the triangle is 128degrees

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Answer:

Original

Step-by-step explanation:

Answer:

To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.

Answer:

B, C, E, F

Step-by-step explanation:

x^2 >= 49

A. 6: 6^2 = 36 No

B. 20: 20^2 = 400 Yes

C. -7: (-7)^2 = 49 Yes

D. -5: (-5)^2 = 25 No

E. -16: (-16)^2 = 256 Yes

F. 7: 7^2 = 49 Yes

Answer:

[tex] y = 40x +100[/tex]

where x is number of  weeks and y is weight in grams.

For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:

The predicted weight of the rat at birth

And the reason is because the starting value for the weigth represent the weight for the birth

Step-by-step explanation:

For this case we have the following equation given:

[tex] y = 40x +100[/tex]

where x is number of  weeks and y is weight in grams.

For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:

The predicted weight of the rat at birth

And the reason is because the starting value for the weigth represent the weight for the birth

Answer: 2i-11

Step-by-step explanation:

[tex](-2+5i)-(9+3i)\\-2+5i-9-3i\\2i-11[/tex]

Answer:

60

Step-by-step explanation:

Answer:

60>x

Step-by-step explanation:

there is the line under the greater than sign

Your answer will be 10m.

We can picture this question as a right-angled triangle, where the pole is one leg, and the distance from the pole to the pigeon on the ground is another leg. Using this, the hypotenuse would be the distance that the pigeon would travel to get from the ground to the top of the pole, presuming it flies in a straight line, and so we can use Pythagoras’ Theorem to find the length of the hypotenuse.

a² + b² = c²

(6)² + (8)² = c²

36 + 64 = c²

100 = c²

10 = c

I hope this helps! Let me know if you have any questions :)

Answer:

Step-by-step explanation:

Recognize that this is the exponential function y = e^x with some tweaks:

f(x) = 2e^x + 1, as compared to y = e^x.

y = e^x is a basic function that we all should know well.  Its graph looks much like the graph shown as "Part A."  The graph starts in Quadrant II, crosses the y-axis into Quadrant I, and then continues growing rapidly as x increases.

As x => positive infinity, y => positive infinity.  This is true of f(x) = 2e^x + 1 also.

As x => negative infinity, y => 0 (speaking of y = e^x).

As x => positive infinity, f(x) = 2e^x + 1 => positive infinity, in Quadrant I.

Answer:

2 workers x 40 hours x 4 weeks = 320

5312/320=16.6 so they need to get 16.6 dollars per hour

Step-by-step explanation:

Answer: $ 33.20

Step-by-step explanation:

Both are working 40 hours a week, so together they work 80 a week. 80 hours a week for 4 weeks gives you 320 hours a month. $5312 divided by 320 hours gives you $16.60 per hour, Together you would have $33.20

Answer:

30

Step-by-step explanation:

Answer:

LCM(2,6,10)

Least Common Multiple is :

30

Calculate Least Common Multiple for :

2, 6 and 10

Factorize of the above numbers :

2 = 2

6 = 2 • 3

10 = 2 • 5

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

2 Number

6 Number

10 L.C.M

(max)

2 1 1 1 1

3 0 1 0 1

5 0 0 1 1

LCM = 2 • 3 • 5

Least Common Multiple is :

30

Answer:

5(x + y) − 2z; Distributive Property

Step-by-step explanation:

The coefficient for both 5x and 5y is 5; therefore, use the distributive property to rewrite the sum as 5(x + y).

Answer:

A) -4z^3+4z^2+6z+35

Step-by-step explanation:

Answer:

ZY = 14, SQ= 28

Step-by-step explanation:

Because of "ZR=ZS" and "YR=YQ", so we can apply the Thales theorem:

[tex]\frac{x+2}{3x-8}=\frac{RZ}{RS} =\frac{1}{2} \\[/tex]

so 2(x+2)= 3x-8

2x+4 = 3x-8

2x-3x= -8 -4

-x = -12

or x =12

ZY = x+ 2 = 12+ 2 = 14

SQ= 2*ZY= 2*14 = 28

Answer:

In 50 years there'll be approximately 3582 elephants.

Step-by-step explanation:

If they are decreasing at a rate of 9% per year, it means it's population by year is:

population(0) = 400000

population(1) = population(0)*(100% - 9%) = population(0)*(91%)

population(2) = population(1)*(91%) = population(0)*(91%)*(91%) = population(0)*(91%)²

population(3) = population(2)*(91%) = population(0)*(91%)²*(91%) = population(0)*(91%)³

And so on, so the number of population as years passes is:

population(n) = population(0)*(91/100)^n

In this case we want to know the population of elephants when n = 50, so we have:

population(50) = 400000*(0.91)^50 = 3582.033

In 50 years there'll be approximately 3582 elephants.

Answer:

[tex]0.00003=3[/tex]×[tex]10^{-5}[/tex]

[tex]2[/tex]×[tex]10^5[/tex] = [tex]200,000[/tex]

Step-by-step explanation:

When working with scientific notation, you are either given a decimal or whole number. The point of scientific notation is to rewrite a number in a more simplified form.You need to change the number so that there is one number on the left side of the decimal. An exponent is used to describe the change in the number. For example:

0.00003

In order to get one number to the left of the decimal, you need to move the decimal to the right 5 spaces. Since the zeros are to the left of the primary number (3), the exponent will be negative. The exponent itself will be the spaces you moved:

[tex]3[/tex]×[tex]10^{-5}[/tex]

The ten is used because of the decimal places you are moving. When you multiply a number by 10, you add a zero. For example:

[tex]2[/tex]×[tex]10^5[/tex]

Since there is a 10, we will be adding in zeros. The exponent determines how many zeros will be added. Since it is a positive number, the numbers will be to the right of the primary number:

200,000

Answer:

D, because they are vertical.

Step-by-step explanation:

Without doing it mathematically, if you look at the graph and match all pairs of angles with their statements, you can check and see if they look equal. Of course, if you were to do it mathematically, you would need to know the vocabulary.