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4 years ago

Need help with these 4 problems

Mathematics

1 answer:

rewona [7]4 years ago

5 0

Simply plug the number after the semi colon into each question's respective variable.

1. Is k=-1 a solution to this problem?
Is 9(-1)=10-(-1)?
we see that -9=10+1=11 which is not a true equality. since -9 is not 11 then "No" is the correct answer to number 1.

3.
3(-10)÷(-6)=5-(-10) ?
-30÷-6=5+10?
5=15?
No, not true, thus "No" is the correct answer.

5. 8-8=2(8)-16?
Is 0=16-16 ?
Yes!

7.
Is 2(7-2)-5(7)=5(2-7)?
2(5)-35=5(-5)?
10-35=-25
-25=-25
Bingo! Yes.

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A princess hat for a costume is shaped like a cone. The base of the cone is 12 in across and the height is 8

LenaWriter [7]

Answer:

Part a) The drawn in the attached figure

Part b)The slant height of the outside edge is $x=10\ in$

Step-by-step explanation:

Part a) The drawn in the attached figure

Part b) What is the slant height of the outside edge?

we have that

The diameter of the base of the cone is 12 in

$r=12/2=6\ in$ ----> the radius is half the diameter

$h=8\ in$

Applying the Pythagoras Theorem find the slant height x

$x^{2}=r^{2}+h^{2}$

substitute the values

$x^{2}=6^{2}+8^{2}$

$x^{2}=100$

$x=10\ in$

8 0

4 years ago

What is the nth term rule of the quadratic sequence below?

Vladimir [108]

Answer:

3n² + 5n - 2

Step-by-step explanation:

Given sequence:

6, 20, 40, 66, 98, 136, ...

Calculate the first differences between the terms:

$6 \underset{+14}{\longrightarrow} 20 \underset{+20}{\longrightarrow} 40 \underset{+26}{\longrightarrow} 66 \underset{+32}{\longrightarrow} 98 \underset{+38}{\longrightarrow} 136$

As the first differences are not the same, calculate the second differences:

$14 \underset{+6}{\longrightarrow} 20 \underset{+6}{\longrightarrow} 26 \underset{+6}{\longrightarrow} 32 \underset{+6}{\longrightarrow} 38$

As the second differences are the same, the sequence is quadratic and will contain an n² term.

The coefficient of the n² term is half of the second difference.

Therefore, the n² term is: 3n²

Compare 3n² with the given sequence:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 & 3 & 12 & 27 & 48 \\\cline{1-5} \sf operation & +3&+8 & +13 & +18 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$

The second operations are different, therefore calculate the differences between the second operations:

$3 \underset{+5}{\longrightarrow} 8 \underset{+5}{\longrightarrow} 13\underset{+5}{\longrightarrow} 18$

As the differences are the same, we need to add 5n as the second operation:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 +5n & 8&22 & 42 & 68\\\cline{1-5}\sf operation & -2 &-2 &-2 & -2 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$

Finally, we can clearly see that the operation to get from 3n² + 5n to the given sequence is to subtract 2.

Therefore, the nth term of the quadratic sequence is:

3n² + 5n - 2

6 0

2 years ago

The junior and senior classes at Northside High School were asked to choose a theme for the junior/senior prom. The results

Rus_ich [418]

Answer: 65%

Step-by-step explanation:

130% of 200 is 65%

3 0

3 years ago

Select the equivalent expression. 3-5 =? Choose 1 answer:

makkiz [27]

3-5 is equal to -2 (hope this helps you) :)

6 0

3 years ago

Helppppppp pls this is due in a few hours

Firdavs [7]

Answer:

Y= -9x+4

Positive x negative y means that it must be negative, then after addition, you get +4.

Step-by-step explanation:

3 0

3 years ago