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4 years ago

I need help with the bottom part, please

Mathematics

1 answer:

vivado [14]4 years ago

4 0

length of diagonal=

$\sqrt{144 + 49}$

$\sqrt{193}$

13.89

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How many cards are in a standard deck of cards? What are their colors?

sergey [27]

Answer:

A standard deck of cards consists of 52 cards. The colors are usually black for the spades and clubs and red for the hearts and diamonds.

Step-by-step explanation:

8 0

3 years ago

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Harrison has $9.30 in his coin collection all in pennies and dimes the number of dimes is three times the number of pennies how

Vsevolod [243]

Answer:

Number of Pennies = 30

Number of Dimes = 90

Step-by-step explanation:

Let the number of pennies be p and number of dimes be d

We can write 2 equations and use substitution method to solve.

<u>Total value of all the coins is 9.30:</u>

We can write:

0.01p + 0.1d = 9.30

Note: value of penny is 0.01 and dime is 0.1, in dollars

<u>Number of dimes is 3 times number of pennies:</u>

We can write:

d = 3p

Now putting 2nd equation in first and solving for p:

0.01p + 0.1(3p) = 9.30

0.01p + 0.3p = 9.30

0.31 p = 9.30

p = 9.30 /0.31

p = 30

Now we know d = 3p, so d = 3 (30) = 90

Hence

Number of Pennies = 30

Number of Dimes = 90

5 0

3 years ago

Write an exponential function in the form y = abthat goes through points (0,2)

Thepotemich [5.8K]

Answer
5/20 so 25%
Explanation

5 0

3 years ago

Find a linear function g, in slope intercept form, given g(-2)=-3 and g(2)=1

Zigmanuir [339]

G(x)= x-1

Hope this helps!

8 0

3 years ago

ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)

Delicious77 [7]

$remember$
$ln(x)=log_e(x)$
$and$
$log_x(a)-log_x(b)= log_x( \frac{a}{b} )$
$and$
$log_a(b)=c$ means $a^c=b$
$and$
$blog(a)=log(a^b)$

$so$

$ln(y+1)-ln(y)=1+3ln(x)$
$ln( \frac{y+1}{y} )=1+ln(x^3)$

$minus$ $ln(x^3)$ $from$ $both$ $sides$

$ln( \frac{y+1}{y}-ln(x^3) )=1$
$ln( \frac{y+1}{yx^3})=1$
$log_e( \frac{y+1}{yx^3})=1$

$translate$

$e^1=\frac{y+1}{yx^3}$
$e=\frac{y+1}{yx^3}$

$times$ $both$ $sides$ $by$ $yx^3$

$eyx^3=y+1$

$minus$ $y$ $from$ $both$ $sides$

$eyx^3-y=1$
$y(ex^3-1)=1$

$divide$ $both$ $sides$ $by$ $(ex³-1)$

$y= \frac{1}{ex^3-1}$

6 0

3 years ago

Read 2 more answers