Write the expression in exponential form

The time taken to the nearest tenth for the element X to decay from 110 g to 18 g is 26.1 mins

2ⁿ = N₀ / N

2ⁿ = 110 / 18

2ⁿ = 55/9

Take the log of both side

Log 2ⁿ = Log (55/9)

nLog 2 = Log (55/9)

Divide both side by Log 2

n = Log (55/9) ÷ Log 2

n = 2.61

t = n × t½

t = 2.61 × 10

t = 26.1 mins

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Answer:

The greatest factor of the polynomial is x^2.

To factor out x^2, we divide each term by x^2:

x^2 - 8x + 1

Don't forget to multiply back the x^2:

x^2(x^2 - 8x + 1)

I hope this helped you.

Answer:

We can measure the amount of time it takes us to complete a task and plan our day accordingly to fit that task in.

The area of one face is length x width:

Area of one face = 6.5 x 6.5 = 42.25 square cm.

There are 6 total faces on a cure.

Total surface area = 42.25 x 6 = 253.5 square cm.

Answer:

Answer:

Proportion b. 5/3 = 40/w is the answer and w = 24 kg.

Step-by-step explanation:

it is given in the question that a metal bar was 5 meter long and has a mass of 40 kg. Mandy makes a bar again by using same metal of length 3 meters and mass w.

Since metal of the rods are same so weight per meter of the rod will be same.

mass per meter of 5 meter rod = 40/5

mass per meter of 3 meter rod = w/3

Both are same so

40/5 = w/3 is the proportion Mandy will use.

By using this proportion Mandy will get w = 3×40/5 = 24 kg

Step-by-step explanation:

Answer:

-26

Step-by-step explanation:

y=mx+c

x and y are coordinates

m is gradient

c is y-intercept

if x^2 has a number before it, divide c by that number

so -26/1 = -26

The equation that can be used to find the walking speed is as follows:

w = 6 / x

Therefore,

let her walking speed = w

The time she can walk home = x hours

time she can bike home = (1.5 + x) hours

bike speed = (9 + w) miles per hours

Her school is 6 miles from her home.

Therefore, the equation that can be used to find the walking speed is as follows.

w = 6 / x

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Check the images for steps.

Therefore, the large jar costs less per gram as it is only 0.0035 compared to the small one which is 0.0037 per gram.

Thus, the large jar is the best value for money.

Answer:

67

Step-by-step explanation:

500 − 3x = 299

3x = 201

x = 67

Answer:

[tex]40\pi \: {cm}^{3} [/tex] will be your answer

[tex]\tt V=\dfrac{1}{3}h\pi r^2\\\\V=\dfrac{1}{3}\times 10\times \pi 4^2\\\\V=\dfrac{160\pi }{3}[/tex]

Answer:

Since Tracy is charged $29 for 250 free minutes so:

For x ≤ 250, f(x) = $29

tracy is charged an extra $0.35 per minute for calls over 250 minutes, so:

For x ≥ 250, f(x) = 29 + 0.35(x - 250)

3/4 x 2/11 = 3/22

Step by step explanation

multiply both numerators together: 3 x 2 = 6

multiply both denominators together: 4 x 11 = 44

3 x 2 = 6                   4 x 11 = 44     = 6/44

Divide 6 by 2 and 44 by 2.

6 / 2 = 3

44 / 2 =22

thus your answer is 3/22

Hope this helps! :)

Answer:

its 3 fam just divide 15 by 5

Step-by-step explanation:

Answer:

the answer is 124 degrees my friend

Answer:

140 inches

Step-by-step explanation:

21 is 15% of 140.

Answer: 5√2

Step-by-step explanation:

the opposite sides on a 45 45 90 triangle

Look at the image:

Answer:

1)  3n²+11n+6

2)  2n²-4n+2

3)  4x²-9

4)  r²-2r-3

5)  4n²+8n+3

6)  3p²-6p+3

Step-by-step explanation:

FOIL

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my day will be amazing todayyyyyyyyyyyy bc im getting a new phone aslkdjhfajshdf

The circumference of a circle is [tex]2\pi r[/tex]

Circumference = [tex]2\pi (3) = 6\pi[/tex]

It says to leave in terms of pi which means that we won't solve [tex]6\pi[/tex]

Thus the answer is [tex]6\pi[/tex].

Hope that helped!

Answer:

A possible value for X that would not make the table a function would be 5

Step-by-step explanation:

For a table to have a function, you must have a constant rate of change, changing from -1 to 5 and then to 2 would not be a constant rate of change.

Hope this helps!

Please give brainliest!

Answer:

Step-by-step explanation:

Answer: 58

Step-by-step explanation:

1st step: Start by setting it up with the divisor 4 on the left side and the dividend 232

2nd step: The divisor (4) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

3rd step: Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.

4th step: Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.Move down the 2nd digit of the dividend (3)

5th step: The divisor (4) goes into the bottom number (23), 5 time(s). Therefore, put 5 on top

6th step:  Multiply the divisor by the result in the previous step (4 x 5 = 20) and write that answer at the bottom. Subtract the result in the previous step from the number written above it. (23 - 20 = 3) and write the answer at the bottom.

7th step: Move down the last digit of the dividend (2). The divisor (4) goes into the bottom number (32), 8 time(s). Therefore put 8 on top

8th step:Multiply the divisor by the result in the previous step (4 x 8 = 32) and write the answer at the bottom. Then Subtract the result in the previous step from the number written above it. (32 - 32 = 0) and write the answer at the bottom.

Therefore, the answer to 232 divided by 4 is by using long division

The required quotient is 58.

Given that 232 ÷ 4.

The long division states that divident = divisor × quotient + remainder.

Let a and b be any real numbers. Consider a ÷ b gives a = b × q + r, that implies q is quotient and r is remainder such that 0 [tex]\leq[/tex] r [tex]\leq[/tex] b.

That implies,

[tex]\begin{array}{ccc}4)&232&(58\\_-&20\\&32&\\_-&32&\\&00&\end{array}[/tex]

Therefore, the required quotient is 58.

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Answer:

[tex]BC=71\text{ units}[/tex]

Step-by-step explanation:

Since AD is an altitude, we know that AD⊥BC by the definition of altitudes.

Then, this means that ∠ADC will be 90° by the definition of perpendicular lines. Therefore:

[tex]12x+6=90[/tex]

Solve for x. Subtract 6 from both sides and then divide by 12:

[tex]12x=84\\[/tex]

[tex]x=7[/tex]

Therefore, the value of x is 7.

BC is the addition of the segments BD and DC. In other words:

[tex]BC=BD+DC[/tex]

We already know the equations of BD and DC. Substitute:

[tex]BC=(5x-7)+(2x+29)[/tex]

Since we know that the value of x is 7, substitute 7 for x and evaluate for BC:

[tex]BC=(5(7)-7)+(2(7)+29))[/tex]

Evaluate:

[tex]BC=(35-7)+(14+29)[/tex]

Evaluate:

[tex]BC=28+43=71[/tex]

Therefore, the value of BC is 71 units.

Answer:

BC = 71

Step-by-step explanation:

12x + 6 = 90

x = 7

5x - 7 + 2x + 29 = 7x + 22

7(7) + 22 = 49 + 22

49 + 22 = 71

BC = 71

Answer:

A = 40°

a = 9.0

b = 10.7

Step-by-step explanation:

The sum of interior angles of a triangle is 180°

⇒ m∠A + 50° + 90° = 180°

⇒ m∠A + 140° = 180°

⇒ m∠A = 180° - 140°

⇒ m∠A = 40°

[tex]\mathsf{\cos(\theta)=\dfrac{adjacent\ side}{hypotenuse}}[/tex]

Given:

[tex]\implies \mathsf{\cos(50)=\dfrac{a}{14}}[/tex]

[tex]\implies \mathsf{a=14\cos(50)}[/tex]

[tex]\implies \mathsf{a=9.0\ (nearest\ tenth)}[/tex]

[tex]\mathsf{\sin(\theta)=\dfrac{opposite\ side}{hypotenuse}}[/tex]

Given:

[tex]\implies \mathsf{\sin(50)=\dfrac{b}{14}}[/tex]

[tex]\implies \mathsf{b=14\sin(50)}[/tex]

[tex]\implies \mathsf{b=10.7\ (nearest\ tenth)}[/tex]

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Let consider the given triangle be ABC

Here, It is given in the question that ,

By using Angle sum property

That is,

[tex]\bold{\pink{ {\angle} A + {\angle}B + {\angle}C = 180{\degree}}}[/tex]

Subsitute the required values,

[tex]\sf{ {\angle}A + 90{\degree} + 50{\degree}\: =\: 180{\degree} }[/tex]

[tex]\sf{ {\angle}A + 140{\degree}\: = \:180{\degree} }[/tex]

[tex]\sf{ {\angle}A\: = \: 180{\degree} - 140{\degree} }[/tex]

[tex]\sf{ {\angle}A \: =\: 40{\degree} }[/tex]

Thus, The angle A is 40°

We have to find the side a and b

We know that,

[tex]\bold{\red{ Sin{\theta} \:=\: }}{\bold{\red{\dfrac{Perpendicular }{Hypotenuse }}}}[/tex]

[tex]\bold{\red{ Cos{\theta} \:=\: }}{\bold{\red{\dfrac{ Base }{Hypotenuse }}}}[/tex]

[tex]\sf{ Sin\: 40 {\degree} \:= \:}{\sf{\dfrac{ a}{ 14 }}}[/tex]

[tex]\sf{ Sin(}{\sf{\dfrac{2{\pi}}{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{2{\times} 3.14 }{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{sin(}{\sf{\dfrac{6.28}{9}}}{\sf{) \:=\: }}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{ a \:= \:14 {\times} 0.64}[/tex]

[tex]\sf{ a \: = \:14 {\times} 0.64}[/tex]

[tex]\bold{ a\: =\: 8.96\: \: or \:\:9\:\: (approx) }[/tex]

[tex]\sf{ Sin\: 50 {\degree} = }{\sf{\dfrac{ b }{ 14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{5{\pi}}{18}}}{\sf{)\: =\: }}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{5{\times} 3.14 }{18}}}{\sf{ ) \: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{15.7}{18}}}{\sf{ )\: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{ b\: = \:14 {\times} 0.76}[/tex]

[tex]\bold{ b\: = \: 10.64\:\: or \:\:10.7\:\: (approx) }[/tex]

Hence, The value of angle A , side a and b is 40° , 9 and 10.7 .

Answer:

1 3/4 gallons

Step-by-step explanation:

The vertex of the parabola will be;

⇒ (3, - 11)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ f (x)  = 2x² - 12x + 7

Now,

Since, The equation is,

⇒ f (x)  = 2x² - 12x + 7

It can be written as;

⇒ f (x)  = 2(x² - 6x) + 7

⇒ f (x)  = 2(x² - 6x + 9 - 9) + 7

⇒ f (x)  = 2(x² - 6x + 9) - 18 + 7

⇒ f (x)  = 2 (x - 3)² - 11

By comparing with standard form of parabola y = a (x - h)² + k, we get;

⇒ (h, k) = (3, - 11)

Thus, The vertex of the parabola will be;

⇒ (3, - 11)

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Answer:

Step-by-step explanation:

1.2m = 120 cm

2.16 m = 216cm

120×216 =25920cm

2) 10×18 = 180

25920/180= 144

√144 = 12

the mom cut 180 in 9 parts (4+5)

the smaller share is 180 x 4/9 = $80

Answer:

B

Step-by-step explanation:

V= breath times height times width

[tex]22 \times 7.9 \times 5.5 = 955.9[/tex]

Answer:

C

Step-by-step explanation:

Got it right on the flvs

Answer:

no solution

Step-by-step explanation:

There are no values of  x  that make the equation true.

No solution

Answer:

5 divide by 8 equal 0.625 + 2 = 2.625 + x= 2.625x and 1-3x equal = 2x(5/6)= 17x

Step-by-step explanation:

A Step-by-step means moving slowly from one stage or level to the next

Don’t worry, we’ll take things one step at a time.