The decay rate (k) is 2.2% per year = -0.022

The half life is ___ years.

Answer:

-b

Step-by-step explanation:

❖ Step 1: Apply distributive property.

❖ Step 2: Combine like terms.

Therefore, the answer is -b.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Ston:A

ep-by-step explnswer:

anati

Answer:

(6,-13)​

Step-by-step explanation:

substitute x=4 and y=-5.

Therefore,

B(4, -5 ) → B(4+2,-5-8)

Simplify

B(4,-5) → (6,-13)​

or you can do:

 (4, -5) ⇒ (4+2, -5-8) = (6, -13)

Lenvy~

Answer:

(6, –13)

Step-by-step explanation:

The answer above is correct.

Based on these results, probability that the next chew Hannah removes from the bag will be orange chew is  0.53.

Probability determines how likely it is that event would occur. The probability that an event would occur lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

The probability of picking an orange chew = 39 / 74 = 0.53

To learn more about probability, please check: https://brainly.com/question/795909

Answer:

Both factors are positive, so the product will be positive.

Step-by-step explanation:

no option available here so I hope

(Both factors are positive, so the product will be positive.)

bcz 19 · 3 are positive factors nd there product will be also postive

[tex] \bold {19 \times 3 = 57}[/tex]

All the best!

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

hope this helps

i took this test

The volume of two spheres are in the ratio 27:125. The ratio of their areas is 9:25

If the volume of two spheres are in the ratio 27:125, then the ratio of their areas is 9:25.

The ratio of the volumes of two spheres is equal to the ratio of the cubes of their radii.

Therefore, if the volume ratio is 27:125, the radius ratio would be the cube root of that, which is 3:5.

The surface area of a sphere is given by the formula A = 4πr², where A is the surface area and r is the radius.

Since the radius ratio is 3:5, the ratio of their surface areas would be (3/5)² : 1², which simplifies to 9:25.

Therefore, the ratio of the surface areas of the two spheres is 9:25.

Learn more about ratio at:

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#SPJ2

Using it's concept, it is found that there is a [tex]p = \frac{9}{107}[/tex] probability that the next customer will pay with a debit card.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there were 39 + 9 + 59 = 107 purchases, of which 9 were paid with debid cards, hence:

[tex]p = \frac{9}{107}[/tex]

There is a [tex]p = \frac{9}{107}[/tex] probability that the next customer will pay with a debit card.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer: 9/107

Step-by-step explanation:

Answer:

y = -3/5x +2   y = -9/11 + 14

Step-by-step explanation:

3x + 5y = 2(subtract 3x on both sides)

5y = -3x +2(divide by 5)

y = -3/5x + 2

9x + 11y = 14 (subtract 9x on both sides)

11y = -9x + 14 (divide by 11)

y = -9/11x + 14

Answer:

Step-by-step explanation:

-9x - 15y = -6

9x + 11y = 14

-4y = 8

y = -2

3x + 5(-2) = 2

3x - 10 = 2

3x = 12

x = 4

(4, -2)

Answer:

[tex]6y^2(3x^2-4x+6)[/tex]

Step-by-step explanation:

I'm assuming that you wanted us to factor the equation.

[tex]18x^2y^2 - 24xy^2+36y^2\\= 6y^2(3x^2-4x+6)[/tex]

The function within the parentheses doesn't factor anymore. Hope this is what you needed!

Based on the definition of isosceles triangle, the value of x in the given diagram is: 84°.

An isosceles triangle has two base angles of equal length.

Given that, a = 22°, and using the information in the image attached below, we have the following:

m∠1 = a = 22° (base angles)

m∠2 = a +  m∠1 = 22 + 22 = 44° (external angle theorem)

m∠3 = m∠2 =44° (base angles)

m∠4 = 180 - (180 - m∠2 - m∠3) - m∠1 = 180 - (180 - 44 - 44) - 22

m∠4 = 70°

m∠5 = m∠4 = 70° (base angles)

m∠6 = 180 - (180 - m∠5 - m∠4) - m∠3

m∠6 = 180 - (180 - 70 - 70) - 44

m∠6 = 96°

m∠7 = m∠6 = 96° (base angles)

x = 180 - m∠7

x = 180 - 96

x = 84°

Therefore, based on the definition of isosceles triangle, the value of x in the given diagram is: 84°.

Learn more about isosceles triangle on:

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Answer:

Equivalent equations are equations that have exactly the same solution. To find equivalent equations, it is best to solve them individually to find the solutions. The ones with the same solution in the end are considered equivalent equations.

Answer:

Sample Response: Equivalent equations have the same solution. You can create equivalent equations by performing the same operations on each side of the equation. You can check for equivalence by finding the solution for each equation.

Step-by-step explanation:

[tex]\\ \rm\rightarrowtail sin(405)[/tex]

[tex]\\ \rm\rightarrowtail sin(360+45)[/tex]

[tex]\\ \rm\rightarrowtail sin45[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{\sqrt{3}}[/tex]

#2

[tex]\\ \rm\rightarrowtail cot(390)[/tex]

[tex]\\ \rm\rightarrowtail cot(360+30)[/tex]

[tex]\\ \rm\rightarrowtail cot30[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3}[/tex]

#3

[tex]\\ \rm\rightarrowtail cos(33\pi/4)[/tex]

[tex]\\ \rm\rightarrowtail cos(8\pi+\pi/4)[/tex]

[tex]\\ \rm\rightarrowtail cos\pi/4[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{\sqrt{2}}[/tex]

#4

[tex]\\ \rm\rightarrowtail sec(17\pi/4)[/tex]

[tex]\\ \rm\rightarrowtail sec(4\pi +\dfrac{\pi}{4})[/tex]

[tex]\\ \rm\rightarrowtail sec\dfrac{\pi}{4}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{2}[/tex]

Answer:

[tex]\sin(405)=\dfrac{\sqrt{2}}{2}[/tex]

[tex]\cot(390)=\sqrt{3}[/tex]

[tex]\cos\left(\dfrac{33}{4}\pi\right)=\dfrac{\sqrt{2}}{2}[/tex]

[tex]\sec\left(\dfrac{17}{4}\pi\right)=\sqrt{2}[/tex]

Step-by-step explanation:

Trig identities used:

[tex]\sin(A\pm B)=\sin A \cos B \pm \cos A \sin B[/tex]

[tex]\cos(A \pm B)=\cosA \cos B \mp \sin A \sin B[/tex]

[tex]\tan(A \pm B)=\dfrac{\tan A \pm \tan B}{1 \mp \tan A \tan B}[/tex]

[tex]\cot A=\dfrac{1}{\tan A}[/tex]

[tex]\sec A=\dfrac{1}{\cos A}[/tex]

Standard trig angles

[tex]\sin(0 \pm 360n)=\sin(0 \pm 2 \pi n)=0\\\\\cos(0 \pm 360n)=\cos(0 \pm 2 \pi n)=1\\\\\tan(0 \pm 180n)=0\\\\\sin(45 \pm 360n)=\sin(\frac14 \pi \pm 2\pi n)=\dfrac{\sqrt{2}}{2}\\\\\cos(45 \pm 360n)=\cos(\frac14 \pi \pm 2\pi n)=\dfrac{\sqrt{2}}{2}\\\\\tan(30 \pm 180n)=\dfrac{\sqrt{3}}{3}[/tex]

Question a

[tex]\sin (405) = \sin (360 + 45)[/tex]

             [tex]= \sin(360)\cos(45) + \cos(360)\sin(45)[/tex]

             [tex]=0 \cdot \dfrac{\sqrt{2}}{2}+1 \cdot \dfrac{\sqrt{2}}{2}[/tex]

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

Question b

[tex]\cot(390)=\dfrac{1}{\tan(390)}[/tex]

              [tex]=\dfrac{1}{\tan(360+30)}\\\\[/tex]

              [tex]=\dfrac{1-\tan(360) \tan(30)}{\tan(360)+\tan(30)}[/tex]

              [tex]=\dfrac{1-0 \cdot \frac{\sqrt{3}}{3}}{0+\frac{\sqrt{3}}{3}}[/tex]

              [tex]=\dfrac{1}{\frac{\sqrt{3}}{3}}[/tex]

              [tex]=\sqrt{3}[/tex]

Question c

[tex]\cos\left(\dfrac{33}{4}\pi\right)=\cos(8\pi+\frac14\pi)[/tex]

                  [tex]=\cos(8\pi)\cos(\frac14\pi)}-\sin(8\pi)\sin(\frac14\pi)}[/tex]

                  [tex]=1 \cdot \dfrac{\sqrt{2}}{2}-0 \cdot \dfrac{\sqrt{2}}{2}[/tex]

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

Question d

[tex]\sec\left(\dfrac{17}{4}\pi\right)=\dfrac{1}{\cos(4\pi+\frac14\pi)}[/tex]

                 [tex]=\dfrac{1}{\cos(4\pi)\cos(\frac14\pi)-\sin(4\pi)\sin(\frac14\pi)}}[/tex]

                 [tex]=\dfrac{1}{1 \cdot \dfrac{\sqrt{2}}{2} -0 \cdot \dfrac{\sqrt{2}}{2}}[/tex]

                 [tex]=\dfrac{1}{\dfrac{\sqrt{2}}{2} }[/tex]

                 [tex]=\sqrt{2}[/tex]

Answer:im not sure but i thinkk its like this

Step-by-step explanation:

You use the distributive property so

4. 16

5. 18

in numbre six you multuply 6x5 and 5x5 then you add it and its 55

6.55

7.6

8.39

9.17

Answer:

hypothesis is the answer for the fist blank

Step-by-step explanation:

Answer:

length = 20 cm

height = 15 cm

Step-by-step explanation:

Large Toy Box

Given:

Therefore, to calculate the length and height of the small toy box, multiply the length and height of the large toy box by one sixth:

[tex]\sf length=120 \times \dfrac16=\dfrac{120 \times 1}{6}=\dfrac{120}{6}=20 \ cm[/tex]

[tex]\sf height=90 \times \dfrac16=\dfrac{90 \times 1}{6}=\dfrac{90}{6}=15 \ cm[/tex]

Therefore,

Answer:

length = 20 cm , height = 15 cm

Step-by-step explanation:

calculate [tex]\frac{1}{6}[/tex] of the dimensions by dividing the large box dimensions by 6

length of small box = 120 cm ÷ 6 = 20 cm

height of small box = 90 ÷ 6 = 15 cm

60m + 35 = c

hope that helps :)

Answer:

See below

Step-by-step explanation:

Based on this info filling in the gaps

Answer:

5-(1+5)= -1

 -2(1+4)=-10

Step-by-step explanation:

Answer:

x>16

Step-by-step explanation:

5-(x+5) cancels out to just x

Answer:

5.5

Step-by-step explanation:

Answer:

500

Step-By-Step Explanation:

200/50 = 4

4 * 17 = 68

68 / 2 = 34

34 x 5 = 170

170 / 17 = 10

10 x 50 = 500

Answer:

The formula that is used to calculate the surface area of a triangular prism is, Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh; where 'b' is the bottom edge of the base triangle, 'h' is the height of the base triangle, L is the length of the prism and S1, S2 and S3 ...

Answer:

The probability of selecting the color of ball that you just selected(a red ball) is [tex]P(r) =  \frac{2}{10}[/tex]

Step-by-step explanation:

From the question we are told that

  The total number of colored balls  is  n  =  10

   The number of red balls is r =  2 red

    The number of white ball is  w =  4

    The number of blue balls is  b  =  4

   The number of balls to be selected is  N  =  2 balls

    The cost of playing picking a ball is  c  =  $10

    The winnings is [tex]k =  \$ P(A)[/tex]

Here P(A) is the probability of obtaining the exact sequence of result  and from the question it  is  P(A) =  0.10

Generally my price according to the question is  

     [tex]k =  \frac{0.10 }{10}[/tex]

=>   [tex]k =  0.01 [/tex]

Let assume we selected a red ball

 Generally the probability of selecting a red ball is  mathematically represented as

       [tex]P(r) =  \frac{2}{10}[/tex]

Answer:

He can use the factors of 36 to determine the number of groups he can divide the class into such that they are equal.

The Factors (excluding 1) are;

2, 3, 4, 6, 9, 12, 18

Using these therefore he can divide them;