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9966 [12]
3 years ago
14

Simplify this equation. 6 + 7r - 4 × 11

Mathematics
2 answers:
Leya [2.2K]3 years ago
6 0
6+7r-4*11=7r[6-4]*11=14r*11
weqwewe [10]3 years ago
5 0
<em>6 + 7r - 4 </em>× <em>11
</em>
=<em> 7r + (6-4) </em>× <em>11
= 14r+11</em>
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Use the table definitions of H(t) and r(t) shown below to find (H o r)(3.0)
fredd [130]

Answer:

C

Step-by-step explanation:

Given the tables of H(t) an r(t), we want to find:

(H\circ r)(3.0)

As stated, this is equivalent to:

=H(r(3.0))

Using the r(t) table, we can determine that:

r(3.0)=2.0

Therefore:

H(r(3.0))=H(2.0)

And by using the H(t) table, we can determine that:

H(2.0)=2.5

So, our answer is C.

5 0
3 years ago
The prices of paperbacks sold at a used bookstore are approximately Normally distributed, with a mean of $7.85 and a standard de
True [87]

Answer:

The answer you want is indeed, (C).

8.04

ED2021

8 0
3 years ago
To increase any number by a percent we can find the growth factor and multiply the number by that growth factor. Find the factor
Kay [80]

Answer:

1.10

Step-by-step explanation:

An exponential function with base b is defined by ƒ(x) = a(b)ˣ.

The base b is the growth factor —  the factor by which each successive term is multiplied.

If b > 1, we have exponential growth.

The function is

ƒ(x) = 350(1 + 0.10)ˣ = 350(1.10)ˣ

The growth factor is 1.10.

3 0
3 years ago
Could anyone help me with this whole question? The bottom drop-down question options are, does or does not
Alina [70]

Answer:Values for the coefficient in the product k:

a=b=c=d=3*10^8, so the first four boxes should be filled with the number "3"

Drop down arrow: "does"

Step-by-step explanation:

We perform all the products of wavelength time frequency indicated for the column of the quantity "k":

a=1 * 10^{-10} * 3\, * 10^{18} = 3 * 10^{-10+18} = 3 * 10^{8}=

b=1 * 10^{-1}*3*10^9=3* 10^{-1+9}=3*10^8

c=600*10^{-6}*5*10^{11}=3000*10^{-6+11}=3000*10^5=3*10^3*10^5=\\=3*10^{3+5}=3*10^8

d=4*10^{-7}*7.5*10^{14}=30.0*10^{-7+14}=30*10^7=3*10*10^7=\\=3*10^{1+7}=3*10^8

Therefore, all products of these different wavelengths and their associated frequencies render the exact same answer : 3*10^8, which means that as one of these quantities increase, the other one will decrease in the same proportion to give the same numerical answer.

This means that the two quantities are associated via inverse proportionality. As seen in the equation below, if the quantities "x" and "y" are related by inverse proportionality (shown as one equals a constant "A" divided by the other variable), their product x*y will give that constant value "A" (which in our case is 3*10^8.

x=\frac{A}{y} \\x*y=A

4 0
3 years ago
What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out
Romashka-Z-Leto [24]

If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 12-2x and 16-2x, and a height of x.

So, the volume will be given by the product of the dimensions, i.e.

(12-2x)(16-2x)x = 4x^3-56x^2+192x

The derivative of this function is

12x^2-112x+192

and it equals zero if and only if

12x^2-112x+192=0 \iff x = \dfrac{14\pm 2\sqrt{13}}{3}

If we evaluate the volume function at these points, we have

f\left(\dfrac{14-2\sqrt{13}}{3}\right) = \dfrac{64}{27}(35+13\sqrt{13})> f\left(\dfrac{14-2\sqrt{13}}{3}\right) = -\dfrac{64}{27}(13\sqrt{13}-35)

So, the maximum volume is given if you cut a square with side length

x=\dfrac{14-2\sqrt{13}}{3}\approx 2.7

5 0
3 years ago
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