Element X decays radioactively with a half life of 15 minutes. If there are 400 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 87 grams?

Answer:

it is a parallelogram

Step-by-step explanation:

so first plot out points and then you find the slope for each of the corresponding lines.

First lets find the slope for AB. you must subtract them and make it -2-1/-2-1. it ends up having a slope of 1.

Then find the slope of the corresponding side(CD). this we will subtract -2-1/3-6. this will have a slope of 1 and will be parallel to AB.

Next you find the slopes of the other two sides starting with AC. we will subtract -2-(-2)/-2-3. this will be a vertical line which means it has a slope of 0.

finally the last step is you see if BD has an equal slope to AC. you then subtract 1-1/1-6. this is also a vertical line so the slope is 0 just like AC so they are both parallel.

in conclusion there are two sets of parallel lines so you have a parallelogram

Answer:

44 mph

Step-by-step explanation:

[tex]\implies \mathsf{speed=\dfrac{change \ in \ y}{change \ in \ x}}[/tex]

[tex]\implies \mathsf{speed=\dfrac{198-22}{4-0}=44 \ mph}[/tex]

Answer:

True, 52-2 equals 50, 50 is greater than 6.

Step-by-step explanation:

Answer:

last year it was 80k

Step-by-step explanation:

Population increases by 5% every year

Last year it was 80,000

PRESENT POPULATION

Present population = 80,000 + 5% off 80,000

                               = 80,000 + 5/100 × 80,000

                               = 80,000 + 5 × 800

                               = 80,000 + 4,000

                               = 84,000

AFTER ONE YEAR

After this , the population again increases by 5%

Population = 84,000 + 5% off 84,000

                 = 84,000 + 5/100 × 84,000

                 = 84,000 + 5 × 840

                 = 84,000 + 4,200

                 = 88,200

ANSWERS

The population of present year is 84,000

After one year , the population becomes 88,200

Hope it helps :-)

Answer:

1. The Present population is 84,000

2. The next years population 88,200 and the year after that would be 92,610

Step-by-step explanation:

If you take the previous year and multiply it by 1.05 you you get the current population. After that you take the current population and multiply it again by 1.05 since the population increases by 5% so continue multiplying by 1.05 to get the later years and so forth

Answer:

C) 3.5 hours

Step-by-step explanation:

30 minutes is a half of an hour.

So that would be seven halves of an hour.

If we multiply the amount of halves by the amount of day late we get our answer.

0.5 x 7 = 3.5

Or we could simply add 0.5 seven times.

Answer:

Step-by-step explanation:

Here it's given that a 6m ladder is leaned against a house, and the base of ladder is 2m away from the foot of the house. Here I am assuming x to be the height of the house.

Diagram :-

[tex] \begin{picture}(3,3)\setlength{\unitlength}{1cm} \linethickness{.6mm}\put(0,0){\line(1,0){4}}\put(0.01,0){\line(4,3){4}}\put(4,0){\line(0,1){3}}\put(4.3,1){$\bf x $} \put(2,-0.5){$\bf 2m$}\put(1,1.5){$\bf 6m$}\put(.9,0.2){$\bf\theta $}\put(2,4){$\boxed{\sf - RISH4BH }$}\end{picture} [/tex]

Using, Pythagoras theorem ,

[tex]\longrightarrow h^2=p^2+b^2 [/tex]

Substitute,

[tex]\longrightarrow (6m)^2=x^2+(2m)^2[/tex]

Simplify,

[tex]\longrightarrow 36m^2= x^2+4m^2 [/tex]

Subtracting 4m² on both sides,

[tex]\longrightarrow x^2 = 36m^2 -4m^2=32m^2 [/tex]

Put square root on both sides,

[tex]\longrightarrow x =\sqrt{32m^2}[/tex]

Simplify,

[tex]\longrightarrow \underline{\underline{ x = 5.65\ m}}[/tex]

Again in order to find out the angle of elevation,

[tex]\longrightarrow cos\theta =\dfrac{b}{h} [/tex]

Substitute,

[tex]\longrightarrow cos\theta =\dfrac{2m}{6m}[/tex]

Simplify,

[tex]\longrightarrow cos\theta =\dfrac{1}{3} [/tex]

Take cos inverse both sides,

[tex]\longrightarrow \underline{\underline{\theta =cos^{-1}\bigg(\dfrac{1}{3}\bigg)}}[/tex]

The length of the wall is 5.66m and the angle of elevation is 70.56°

Data;

To calculate the length of the wall or side of the house, we have to use Pythagorean theorem which is given as

[tex]x^2 = y^2 + z^2[/tex]

Let's substitute the values and solve for the length of the wall

[tex]x^2 = y^2 + z^2 \\6^2 = 2^2 + z^2 \\36 = 4 - z^2\\z^2 = 36 - 4\\z^2 = 32\\z = \sqrt{32} \\z = 5.66m[/tex]

The length of the wall is 5.66m.

To calculate the angle of elevation, we can use trigonometric ratio SOHCAHTOA

since we have the value of all the sides, we can decide to use any of the ratios.

I will use sine angle to solve for the angle of elevation.

[tex]sin \theta = \frac{opposite}{hypothenuse} \\sin \theta = \frac{5.66}{6} \\sin \theta = 0.943\\\theta = sin^-^1 (0.943)\\\theta = 70.56^0[/tex]

The angle of elevation is 70.56°

Learn more on Pythagorean theorem and trigonometric ratio here;

https://brainly.com/question/6241673

Answer:

[tex]-29[/tex]

solving steps:

[tex]\sf \hookrightarrow -\left(-4\right)\left(-6\right)-3/5\left(10+15\right)/1/3[/tex]

[tex]\sf \hookrightarrow -\left(-4\right)\left(-6\right)-3/5\cdot \:25/1/3[/tex]

[tex]\sf \hookrightarrow -24-3/5\cdot \:25/1/3[/tex]

[tex]\sf \hookrightarrow -24-5[/tex]

[tex]\sf \hookrightarrow -29[/tex]

Answer:

the answer is 29.

Step-by-step explanation:

use the order of operations to solve
PEMDAS

Answer:

49 : 16

Step-by-step explanation:

ratio of their sides = 7 : 4

ratio of their areas = 7^2 : 4^2 = 49 : 16

x is 9

Okay bye  bye

:9 :O)

Answer:

[tex]\frac{1}{axy}[/tex]

Step-by-step explanation:

[tex]\frac{xy}{a^2+a^3}[/tex] × [tex]\frac{a+a^2}{x^2y^2}[/tex] ( factorise denominator and numerator of 2 fractions )

= [tex]\frac{xy}{a^2(1+a)}[/tex] × [tex]\frac{a(1+a)}{x^2y^2}[/tex]

Cancel (1 + a) from both fractions

= [tex]\frac{xy}{a^2}[/tex] × [tex]\frac{a}{x^2y^2}[/tex]

Cancel a and xy from both fractions

= [tex]\frac{1}{a}[/tex] × [tex]\frac{1}{xy}[/tex]

= [tex]\frac{1}{axy}[/tex]

a ≠ 0 , x ≠ 0 , y ≠ 0

as this would would make the function undefined

Answer:

Step-by-step explanation:

[tex]\dfrac{xy}{a^2+a^3}\times \dfrac{a+a^2}{x^2y^2}[/tex]

Apply the fraction rule [tex]\dfrac{a}{b}\times \dfrac{c}{d}=\dfrac{a \times c}{b \times d}[/tex] :

[tex]\implies \dfrac{xy(a+a^2)}{x^2y^2(a^2+a^3)}[/tex]

Cancel the common factor [tex]xy[/tex] :

[tex]\implies \dfrac{(a+a^2)}{xy(a^2+a^3)}[/tex]

Factor [tex](a+a^2)=a(1+a) \ \ \textsf{and} \ \ a^2+a^3=a^2(1+a)[/tex] :

[tex]\implies \dfrac{a(1+a)}{xy \cdot a^2(1+a)}[/tex]

Cancel the common factor [tex]a(1+a)[/tex] :

[tex]\implies \dfrac{1}{axy}[/tex]

I think the "if" part is a, x and y cannot equal zero, as otherwise the expression will be undefined.

So I would put: [tex]x\neq 0; y\neq 0, a\neq 0[/tex]

Answer:

2 time greater

Step-by-step explanation:

5x20=100

10x20=200

100x2=200

so its 2 times greater

Answer:

N=108

Step-by-step explanation:

You just have to add the $90 they need to raise plus the ingredients price to get $108.

Answer: 1

Step-by-step explanation:

tan(15) * cos(15)/sin(15)

Use tan(x) = sin(x)/cos(x) to transform the expression:

= sin(15)/cos(15) * cos(15)/sin(15)

Cancel opposite terms on both sides:

= 1

Answer:

x = 29

Angle C = 93°

Step-by-step explanation:

Since all of the interior angles of a triangle add up to 180° and we are given the values of angle A and angle B, we can find angle C by subtracting A and B from 180.

35 + 52 = 87

180 - 87 = 93

Thus, the measure of angle C is 93°.

Now that we know the measure of angle C, we can determine the value of x.

Set up an equation:

3(x + 2) = 93

3x + 6 = 93

3x = 87

x = 29

Answer:

(a)  x = 29

(b) m∠C = 93°

Step-by-step explanation:

(a)  The sum of the interior angles of a triangle = 180°

⇒ m∠A + m∠B + m∠C = 180

⇒ 35 + 52 + 3(x + 2) = 180

⇒ 87 + 3x + 6 = 180

⇒ 93 + 3x = 180

⇒ 3x = 87

⇒ x = 29

(b) As x = 29

⇒ m∠C = 3(29 + 2)

⇒ m∠C = 3 x 31

⇒ m∠C = 93°

Answer:

[tex]y = -3x -10[/tex]

Step-by-step explanation:

Slope-intercept formula: [tex]\frac{y_2-y_2}{x_2-x_1}[/tex]

Find slope of  (−1, −7) and (1, -13)

[tex]\frac{y_2-y_2}{x_2-x_1}\\\\\\frac{-13-(-7)}{1-(-1)}\\\\\\frac{-6}{2}\\\\\-3[/tex]

[tex]y = mx + b[/tex]

[tex]y = -3x +b[/tex]

[tex]y = -3x +b\\-7 = -3(-1) + b\\-7 = 3 +b\\-3 -3\\-10 = b[/tex]

[tex]y = -3x -10[/tex]

Hope this helps!

Answer:

Yes, the statement is true

Btw, it's an angle not angel

Please mark as brainliest

Answer:

that is True.

Answer:

A.600

B.980

C.350

D.210

Step-by-step explanation:

just see what the arrow

Answer:

0.4

Step-by-step explanation:

(0.2+0.3) - (0.6/6)

0.5 - 0.1

Hey there!

0.2 + 0.3 - 0.6 ÷ 6

0.2 + 0.3 = 0.50 = 0.5

= 0.5 - 0.6 ÷ 6

0.6 ÷ 6 = 0.10 = 0.1

= 0.5 - 0.1

= 0.40

= 0.4

Thus, your answer is: 0.4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

4.31 kilometer

..........................................

Answer:

  a) 2%

  b) 0.17%

Step-by-step explanation:

Exponential growth is modeled by the equation ...

  y = a·b^x

where 'a' is the initial value, and 'b' is the growth factor.

When x is has units of time, the growth factor 'b' applies over 1 unit of x. The applicable growth factor for different units of time can be found using the rules of exponents applied to the equation written with x expressed in the different units.

The growth rate is related to the growth factor by ...

  b = 1 +r . . . . where r is the growth rate

  r = b -1 . . . . solved for r

__

Your equation is ...

  V = 300(1.02^t)

where t is expressed in years. Then the corresponding annual growth rate is ...

  b = 1.02

  r = b -1

  r = 1.02 -1 = 0.02 = 2% . . . annual rate of growth

__

When the equation is written so that t is expressed in months, it becomes ...

  V = 300(1.02)^(t/12)

  V = 300(1.02^(1/12))^t

Now, the growth factor (per month) is

  b = 1.02^(1/12)

and the monthly growth rate is ...

  r = 1.02^(1/12) -1 ≈ 1.00165158 -1 = 0.00165158

  r ≈ 0.17% . . . . monthly rate of growth

We have: 7 = 2 × 3 + 1

Answer: 3

Ok done. Thank to me :>

Answer:

-9, -8.2, -4, 6, 1 3/4

Step-by-step explanation:

The larger the number is if it's a negative, the lower it is (if that makes sense). For example, -9 is lower than -7.

1 3/4 = 1.75

Answer:

10

Step-by-step explanation:

The y-intercept for each line is...

y=2x+7 (0, 7)

y=2x-3 (0, -3)

Note this is because...

y=mx+b

b represents the y-intercept

Using the distance formula...

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex]d=\sqrt{(0-0)^2+(7-(-3))^2[/tex]

[tex]d=\sqrt{0+(10)^2[/tex]

[tex]d=\sqrt{0+100}[/tex]

[tex]d=\sqrt{100}[/tex]

[tex]d=10[/tex]

Answer:

Step-by-step explanation:

Let Kayla made number of 2 points shots = x

and the number of 3 points shots = y

Since she made total nine shots so the equation will be

x + y = 9 --------(1)

She scores a total of 22 points so the equation will be

2x + 3y = 22 --------(2)

Now we multiply equation (1) by 2 and subtract it from equation (2)

(2x + 3y) - 2(x + y) = 22 - 18

2x + 3y - 2x - 2y = 4

y = 4

from equation (1)

x + 4 = 9

x = 5

Therefore, number of 2 shots are 5 and number of 3 shots are 4.

Answer:

Step-by-step explanation:

1/2 * 8 * 15 * x=3360 c^3

x = 56 units

Answer:

[tex]\frac{n}{2}[/tex] + 5

Step-by-step explanation:

-> An expression does not have an equal sign

-> Let n be "a number"

-> What I underline becomes apart of our mathematical expression in the next line;

5 more than 1/2 of a number

5 more than [tex]\frac{n}{2}[/tex]

[tex]\frac{n}{2}[/tex] + 5

Answer:

x = 7.5

Step-by-step explanation:

A line parallel to a side of a triangle and intersecting the other 2 sides, divides those sides proportionally, that is

[tex]\frac{8}{10}[/tex] = [tex]\frac{6}{x}[/tex] ( cross- multiply )

8x = 60 ( divide both sides by 8 )

x = [tex]\frac{60}{8}[/tex] = 7.5

Answer:

y = 5 - 3x

Step-by-step explanation:

3x + y = 5 ( subtract 3x from both sides )

y = 5 - 3x

Answer:

y = 5 - 3x

making y the subject:

changing sides, changes positive (+) sign to negative (-)

changing sides, changes negative (-) sign to positive (+)

Answer:

52%

Step-by-step explanation:

There are 25 filled in squares in the first image, and 13 filled in squares in the second image.

To find the percentage we can divide the part of the base (a) by the base (b).

a = 13

b = 25

13/25 = 0.52

Move the decimal two places over to the right.