Find the errors and correct the following mathematical sentences.

In a list of numbers, the pattern increases by 0.001 as you move to the right. If the third number in the list is 0.064, what is

avanturin [10]

The <em>correct answer</em> is:

The first number is 0.062.

Explanation:

Let x represent the first number in the list.

We add 0.001 to each number to find the next number; this gives us:

x + 0.001 + 0.001 = 0.064

Combining like terms, we have:

x + 0.002 = 0.064

Subtract 0.002 from each side:

x + 0.002 - 0.002 = 0.064 - 0.002

x = 0.062

3 0

3 years ago

Read 2 more answers

Find the ninth term of the sequence sqrt 5, sqrt 10, ^2sqrt 5

hjlf

The rule of geometric sequence is ⇒⇒⇒ a * r^(n-1)
Where a is the first term and r is the common ratio
for the given sequence √5 , √10 , 2√5 , .......
a = √5
r = √10 / √5 = √2
The ninth term = √5 * (√2)^(9-1) = √5 * (√2)⁸ = 16 √5

the correct answer is the third option 16√5

5 0

3 years ago

I will give lots of points please help

aalyn [17]

Answer:

a) 81π in³

b) 27 in³

c) divide the volume of the slice of cake by the volume of the whole cake

d) 10.6%

e) see explanation

Step-by-step explanation:

The cake can be modeled as a <u>cylinder </u>with:

diameter = 9 in
height = 4 in

$\sf Radius=\dfrac{1}{2}diameter \implies r=4.5\:in$

$\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

$\begin{aligned}\sf \implies \textsf{Volume of the cake} & =\pi (4.5)^2(4)\\ & = \sf \pi (20.25)(4)\\ & = \sf81 \pi \:\: in^3\end{aligned}$

$\begin{aligned}\textsf{Circumference of the cake} & = \sf \pi d\\& = \sf 9 \pi \:\:in\end{aligned}$

If each slice of cake has an arc length of 3 in, then the volume of each slice is 3/9π of the entire volume of the cake.

$\begin{aligned}\implies \textsf{Volume of slice of cake} & = \sf \dfrac{3}{9 \pi} \times \textsf{volume of cake}\\\\& = \sf \dfrac{3}{9 \pi} \times 81 \pi\\\\& = \sf \dfrac{243 \pi}{9 \pi}\\\\& = \sf 27\:\:in^3\end{aligned}$

The volume of each slice of cake is 27 in³.

The volume of the whole cake is 81π in³.

To calculate the probability that the first slice of cake will have the marble, divide the volume of a slice by the volume of the whole cake:

$\begin{aligned}\implies \sf Probability & = \sf \dfrac{27}{81 \pi}\\\\& = \sf 0.1061032954...\\\\ & = \sf 10.6\% \:\:(1\:d.p.)\end{aligned}$

Probability is approximately 10.6% (see above for calculation)

If the four slices of cake are cut and passed out <em>before </em>anyone eats or looks for the marble, the probability of getting the marble is the same for everyone. If one slice of cake is cut and checked for the marble before the next slice is cut, the probability will increase as the volume of the entire cake decreases, <u>until the marble is found</u>. So it depends upon how the cake is cut and distributed as to whether Hattie's strategy makes sense.

3 0

2 years ago

If f(x)=-8x+8 and g(x) = sqrt x-9 what is (f•g)(18)

Serggg [28]

Answer:

-16

Step-by-step explanation:

f(x)=-8x+8 and g(x) = sqrt x-9

(f•g)(18)=f(g(18))

g(18)=sqrt(18-9)=sqrt9=3

f(3)=-24+8=-16

7 0

3 years ago

Tom knows that in his school 10out of every 85 students are lefthanded. There are 391 students in Toms school. How many studentd

kompoz [17]

There are 39 left handed students at Toms school

5 0

3 years ago

Find the errors and correct the following mathematical sentences.​

Find the errors and correct the following mathematical sentences.