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3 years ago

Someone help with this please!!!!

Mathematics

1 answer:

damaskus [11]3 years ago

6 0

Answer:

$10^{4} * 10^{3}=(10*10*10*10)(10*10*10) = 10^{7}\\\\10^{4}*10^{4}=(10*10*10*10)(10*10*10*10) = 10^8\\\\(10*10*10)(10*10*10*10*10)=10^3*10^5=10^8\\$

$10^{18}*10^{23}=$ (10 x 10 18 times)(10 x 10 23 times) $=10^{41}$

just as a note: when you multiply numbers with exponents and they both have the same base, all you have to do is add the exponents.

Ex: $10^{5}*10^{4}=10^{5+4}=10^{9}$

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5)<br> Find the slope<br> Please I need help this is the last test of the school year

ch4aika [34]

Answer:

7/5

Step-by-step explanation:

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3 0

3 years ago

Please solve these algebraic questions? THANKS

miskamm [114]

Step-by-step explanation:

Note: I'm only providing solutions for Problem 9.

<h2>9. Simplify the following by collecting like terms: </h2>

Combining like terms involve performing the required mathematical operations (using the PEMDAS rule). The terms must have the same degree (or exponents).

Add the coefficients of both terms.

3a + 7a = 10a

Add the coefficients of both terms.

4n + 3n = 7n

Subtract the coefficient of both terms.

12y - 4y = 8y

Add the coefficients of all terms.

5x + 2x + 4x = 11x

The last term, "ba," can be rewritten as, "ab." Remember that with algebraic expressions such as "ab," it essentially involves multiplication of both variables within the same term. Thus, ab = a × b. The variables ab also have a numerical coefficient of 1: 1a × 1b.

Now, we can perform the subtraction on all terms:

6ab - 2ab - ab = 3ab.

Subtract 2mn from 2mn, which leaves you with 7mn:

7mn + 2mn - 2mn = 7mn

For this algebraic expression, you could only combine the terms with the same variable and degree. Therefore, you'll have to subtract 3y from 4y, leaving the constant, 8, unaffected.

4y - 3y + 8 = y + 8

Similar to question g, only combine the terms with the same degree and variable, leaving the constant unaffected.

7x + 5 - 4x = 3x + 5

You could only combine the terms with the same set of variables and degree, which are the first two terms on this given question. You cannot combine the last term, 4y, into the other terms.

6xy + xy + 4y = 7xy + 4y

Using the same reasoning as in question e: the last term, 7ba, can be rewritten as 7ab, for which you could combine with the first term, 5ab.

5ab + 3 + 7ba = 12ab + 3

Combine the like terms, which are the second and the last term.

2 - 5m - m = 2 - 6m

Combine the like terms, which are the second and the last term.

4 - 2x + x = 4 - x

8 0

3 years ago

Please help I have less then 6 minutes

Sonja [21]

Answer:

11) 60°

12) 50°

13) 50°

14) 50° (i suspect you want ∠FED instead, which is 102°)(NOT a repeat of ∠FDE)

Step-by-step explanation:

6 0

3 years ago

The perimeter of a triangular piece of land is 120m it’s area is 600m sq. If one of its sides is 30m,find the other two sides.

kap26 [50]

Answer:

The other two sides are 40m and 50m

Step-by-step explanation:

Let the sides be a , b and c

adding all together will give the perimeter

a + b + c = 120, now since one of the sides, let’s say a is 30

this means b + c = 120-a = 120-30 = 90

b + c = 90 •••••••••• (i)

We can use Heron’s formula to find the area of the triangle

Firstly, s = (a + b + c)/2 = 120/2 = 60

Using the formula;

A = √s(s-a)(s-b)(s-c)

We already have a as 30 and a as 60;

so we have;

600 = √60(60-30)(60-b)(60-c)

600 = √(60)(30)(60-b)(60-c)

Squaring both sides we have

360000 = 1800(60-b)(60-c)

divide both sides by 1800

200 = (60-b)(60-c) ••••(ii)

from the first equation we know that b + c = 90

so b = 90-c , we substitute this into ii

200 = (60-(90-c))(60-c)

200 = (60-90+c)(60-c)

200 = (c-30)(60-c)

200 = 60c-c^2-1800+30c

200 = -c^2 -1800 + 90c

we can rearrange this as;

c^2 -90c + 2000 = 0

c^2-50c-40c+ 2000 = 0

c(c-50)-40(c-50) = 0

(c-40)(c-50) = 0

Thus c = 40 or 50

Since sum of both b and c is 90

This means b also is also 40 or 50

from b = 90-40 or b = 90-50

So we can confidently say the other two sides are 40 m and 50 m

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3 years ago

The admission to a local fair is $10 for each adult and $6 for each child. Each rides costs $2.00 for an adult, and $1.50 for a

n200080 [17]

Answer: 10 + 6 + 2.00x + 1.50x = Answer

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers