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2 years ago

Pamela is 8 years older than Jiri. The sum of their ages is 62. What is Jiri's age?

Mathematics

1 answer:

Sophie [7]2 years ago

5 0

Answer:

dude how are you supposed to figure this out????

Jiri age is 23

Step-by-step explanation:

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Solve for y <br><br> 5y- 10x = 45

nasty-shy [4]

Answer:

y=9 (x=-4.5)

Step-by-step explanation:

you have to split the equation up in order to solve

5y=45

divide by 5 on both sides

y=9

-10x=45

divide by -10

x=-4.5

6 0

2 years ago

The local hamburger restaurant is famous for how quickly they can assemble a burger. The restaurant advertises that its constant

melisa1 [442]

The gievn equation is ,

$t=11.3h\ldots(1)$

where t is the time in seconds and h is the no.of hamburgers assembled.

put h = 2 in equation (1).

$\begin{gathered} t=11.3\text{ (2)} \\ t=22.6 \end{gathered}$

blank A assembles 2 hamburges in 22.6 seconds.

put h = 3 in equation (1)

$\begin{gathered} t=11.3(3) \\ t=33.9 \end{gathered}$

blank B assembles 3 hamburgers in 33.9 seconds.

put h = 5 in equation (1)

$\begin{gathered} t=11.3(5) \\ t=56.5 \end{gathered}$

blank C assembles 5 hamburgers in 56.5 seconds.

put h = 8 in equation (1)

$\begin{gathered} t=11.3(8) \\ t=90.4 \end{gathered}$

blank D assembles 8 hamburgers in 90.4 seconds.

3 0

9 months ago

For a segment of a radio show, a disc jockey can play 6 records. If there are 11 records to select from, in how many ways can

saul85 [17]

Answer:

The records can be select in 332,640 ways.

Step-by-step explanation:

Consider the provided information.

There are 11 records to select from and a disc jokey can play 6 records.

Here, we need to find the number of permutation of n = 11 records taken r = 6 at a time.

Use the formula: $^nP_r=\frac{n!}{(n-r)!}$

Substitute the respective values in the above formula.

$^{11}P_6=\frac{11!}{(11-6)!}$

$^{11}P_6=\frac{11!}{5!}$

$^{11}P_6=\frac{5!\times6\times7\times8\times9\times10\times11}{5!}$

$^{11}P_6=332640$

Hence, the records can be select in 332,640 ways.

8 0

3 years ago

1. Approximate the given quantity using a Taylor polynomial with n3.

Jet001 [13]

Answer:

See the explanation for the answer.

Step-by-step explanation:

Given function:

$f(x) = x^{1/4}$

The n-th order Taylor polynomial for function f with its center at a is:

$p_{n}(x) = f(a) + f'(a) (x-a)+\frac{f''(a)}{2!} (x-a)^{2} +...+\frac{f^{(n)}a}{n!} (x-a)^{n}$

As n = 3 So,

$p_{3}(x) = f(a) + f'(a) (x-a)+\frac{f''(a)}{2!} (x-a)^{2} +...+\frac{f^{(3)}a}{3!} (x-a)^{3}$

$p_{3}(x) = f(a) + f'(a) (x-a)+\frac{f''(a)}{2!} (x-a)^{2} +...+\frac{f^{(3)}a}{6} (x-a)^{3}$

$p_{3}(x) = a^{1/4} + \frac{1}{4a^{ 3/4} } (x-a)+ (\frac{1}{2})(-\frac{3}{16a^{7/4} } ) (x-a)^{2} + (\frac{1}{6})(\frac{21}{64a^{11/4} } ) (x-a)^{3}$

$p_{3}(x) = 81^{1/4} + \frac{1}{4(81)^{ 3/4} } (x-81)+ (\frac{1}{2})(-\frac{3}{16(81)^{7/4} } ) (x-81)^{2} + (\frac{1}{6})(\frac{21}{64(81)^{11/4} } ) (x-81)^{3}$

$p_{3} (x)$ = 3 + 0.0092592593 (x - 81) + 1/2 ( - 0.000085733882) (x - 81)² + 1/6

(0.0000018522752) (x-81)³

$p_{3} (x)$ = 0.0092592593 x - 0.000042866941 (x - 81)² + 0.00000030871254

(x-81)³ + 2.25

Hence approximation at given quantity i.e.

x = 94

Putting x = 94

$p_{3} (94)$ = 0.0092592593 (94) - 0.000042866941 (94 - 81)² +

0.00000030871254 (94-81)³ + 2.25

= 0.87037 03742 - 0.000042866941 (13)² + 0.00000030871254(13)³ +

2.25

= 0.87037 03742 - 0.000042866941 (169) +

0.00000030871254(2197) + 2.25

= 0.87037 03742 - 0.007244513029 + 0.0006782414503 + 2.25

$p_{3} (94)$ = 3.113804102621

Compute the absolute error in the approximation assuming the exact value is given by a calculator.

Compute $\sqrt[4]{94}$ as $94^{1/4}$ using calculator

Exact value:

$E_{a}$ (94) = 3.113737258478

Compute absolute error:

Err = | 3.113804102621 - 3.113737258478 |

Err (94) = 0.000066844143

If you round off the values then you get error as:

|3.11380 - 3.113737| = 0.000063

Err (94) = 0.000063

If you round off the values up to 4 decimal places then you get error as:

|3.1138 - 3.1137| = 0.0001

Err (94) = 0.0001

4 0

3 years ago

Evaluate the polynomial 6x - y for x = 3 and y =4

Mashcka [7]

6 x 3 is 18. y is equal to 4. 18 minus 4 is 14. The answer is 14.

8 0

2 years ago