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3 years ago

Please help me and thank you

Mathematics

1 answer:

Gnesinka [82]3 years ago

6 0

Answer:B 1 at 3 Cups=7 cups

Step-by-step explanation:

4x4=16 cups

1.5×6=9 cups

16-9=7

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an archaeologist in turkey discovers a spear head that contains 80% of its original amount of C-14. Find the age of the spear he

Genrish500 [490]

Answer:

The age of the spear head to the nearest year is 1845 years

Step-by-step explanation:

We know that

half life time of C-14 is 5730 years

so, h=5730

we can use formula

$P(t)=P_0(\frac{1}{2})^{\frac{t}{h} }$

now, we can plug value

$P(t)=P_0(\frac{1}{2})^{\frac{t}{5730} }$

an archaeologist in turkey discovers a spear head that contains 80% of its original amount of C-14

so,

$P(t)=0.80P_0$

we can plug it

$0.80P_0=P_0(\frac{1}{2})^{\frac{t}{5730} }$

now, we can solve for t

$0.80=(\frac{1}{2})^{\frac{t}{5730} }$

$\ln \left(0.8\right)=\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{5730}}\right)$

$t=-\frac{5730\ln \left(0.8\right)}{\ln \left(2\right)}$

$t=1844.647$

So,

The age of the spear head to the nearest year is 1845 years

7 0

3 years ago

P³ = 1/8 please help me if anybody can .

ivanzaharov [21]

Answer:

$p= \dfrac{1}{2}$

Step-by-step explanation:

Given equation:

$p^3=\dfrac{1}{8}$

Cube root both sides:

$\implies \sqrt[3]{p^3}= \sqrt[3]{\dfrac{1}{8}}$

$\implies p= \sqrt[3]{\dfrac{1}{8}}$

$\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:$

$\implies p= \left(\dfrac{1}{8}\right)^{\frac{1}{3}}$

$\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:$

$\implies p= \dfrac{1^{\frac{1}{3}}}{8^{\frac{1}{3}}}$

$\textsf{Apply exponent rule} \quad 1^a=1:$

$\implies p= \dfrac{1}{8^{\frac{1}{3}}}$

Rewrite 8 as 2³:

$\implies p= \dfrac{1}{(2^3)^{\frac{1}{3}}}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\implies p= \dfrac{1}{2^{(3 \cdot \frac{1}{3})}}$

Simplify:

$\implies p= \dfrac{1}{2^{\frac{3}{3}}}$

$\implies p= \dfrac{1}{2^{1}}$

$\implies p= \dfrac{1}{2}$

3 0

1 year ago

Read 2 more answers

3. In the diagram, what is the value of x? A. 98° B. 82° C. 108° D. 78°

jek_recluse [69]

Where’s the diagram...?

6 0

4 years ago

Find the distance between y = -4x + 5 and y= -4x + 7. Round your answer to the nearest tenth

Darya [45]

Y=-4x+5
0=-4x+5
4x=5
X=5/4

Y=-4x+7
0=-4x+7
4x=7
X=7/4

6 0

2 years ago

Solve for x and all the missing angles.<br> (-11+3y)<br> (34+Y)<br> (37+y)°

marissa [1.9K]

Answer:

y=24; Angle 1: 61 degrees; Angle 2: 58 degrees; Angle 3: 61 degrees

Step-by-step explanation:

-11+3y+34+y+37+y=180 The sum of all the angles in a triangle is 180 degrees.

60+5y=180 Combine like terms

5y=120 Subtract 60 from 180

y=24 Divide 120/5

Angle 1: -11+ 3(24)= 61 degrees

Angle 2: 34+24=58 degrees

Angle 3: 37 + 24= 61 degrees

7 0

3 years ago