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3 years ago

Arnold buys 3

Mathematics

1 answer:

mafiozo [28]3 years ago

6 0

Answer:

A) 3.6(1.85 + 2.30)

Step-by-step explanation:

Given that $3\frac{3}{5}$ pounds of grapes at $1.85/pound and $3\frac{3}{5}$ of red grapes at $2.30 per pound.

Given the mass of the different grapes is the same, the cost can be expressed as;

$C_g=3\frac{3}{5}\times \$1.85\\\\C_r=3\frac{3}{5}\times\$2.30\\\\C_t=C_g+C_r\\\\=3\frac{3}{5}\times \$1.85+3\frac{3}{5}\times\$2.30\\\\=3\frac{3}{5}( \$1.85+\$2.30)\\\\=3.6(\$1.85+\$2.30)$

Hence, the cost can be expressed as 3.6(1.85+2.30)

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(1 point) Carbon dating is often used to determine the age of a fossil. For example, a humanoid skull was found in a cave in Sou

Aleksandr [31]

Answer:

The estimated age of the skull is 39118 years.

Step-by-step explanation:

The amount of the substance after t years is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount, and r is the decay rate.

The half-life of carbon-14 is about 5600 years.

This means that $A(5600) = 0.5A(0)$ . We use this to find r, or 1 - r, to replace in the equation. So

$A(t) = A(0)(1-r)^t$

$0.5A(0) = A(0)(1-r)^{5600}$

$(1-r)^{5600} = 0.5$

$\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}$

$1 - r = (0.5)^{\frac{1}{5600}}$

$1 - r = 0.9999$

$A(t) = A(0)(0.9999)^t$

Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.

This is t for which $A(t) = 0.02A(0)$ . So

$A(t) = A(0)(0.9999)^t$

$0.02A(0) = A(0)(0.9999)^t$

$(0.9999)^t = 0.02$

$\log{(0.9999)^t} = \log{0.02}$

$t\log{0.9999} = \log{0.02}$

$t = \frac{\log{0.02}}{\log{0.9999}}$

$t = 39118$

The estimated age of the skull is 39118 years.

6 0

3 years ago

28 please help I don't understand what it's asking

mixer [17]

Isn't it a function considered a function if it has no intersecting lines? Maybe you should graph it and see if it has intersecting lines or not. If it doesn't the it's a function if
it does then it's not. I think..?

7 0

4 years ago

How to write an equation in logarithmic form?

laiz [17]

Answer:

here is a example

5 0

4 years ago

Find the area: to the nearest whole number

NARA [144]

Answer:

The area of the composite area is 400 square millimeters.

Step-by-step explanation:

The area of the composite figure ( $A$ ), in square millimeters, is found by multiplying the area of the equivalent rectangle, in which a semicircle of the original rectangle is move to the opposite side of the figure, so that quantity of area is conserved:

$A = w\cdot h$ (1)

Where:

$w$ - Width, in millimeters.

$h$ - Height, in millimeters.

If we know that $h = w = 20\,mm$ , the area of the composite figure is:

$A = (20\,mm)\cdot (20\,mm)$

$A = 400\,mm^{2}$

The area of the composite area is 400 square millimeters.

6 0

3 years ago

Help. I need to explain if she’s right or not

pickupchik [31]

The triangular pyramid is made of 4 congruent triangles. They all have the same shape and size, so they have the same area. The area of one triangle is

A = b*h/2
A = 5*4.3/2
A = 10.75

So four of them lead to a total surface area of 4*10.75 = 43 square meters

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

The rectangular prism has the dimensions
L = 5
W = 5
H = 4.3

The surface area is found through the formula below
SA = 2*(L*W+L*H+W*H)
SA = 2*(5*5+5*4.3+5*4.3)
SA = 136

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

So far we found that
surface area of pyramid = 43 square meters
surface area of prism = 136 square meters

Dividing the values, we get 136/43 = 3.16279 approximately. The result is not equal to 2, so Susan's statement is not correct. The prism has more than twice the surface area of the pyramid

3 0

4 years ago

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