Mary spends her Saturday mornings buying groceries, helping her children with homework, cooking, and
working on her weekend assignment. She does not always do these tasks in the same order. In how many
possible ways can she do her tasks?

Answer:

A / kb = h

Step-by-step explanation:

A = kbh

Divide each side by kb

A / kb = hkb/kb

A / kb = h

Answer:

Step-by-step explanation:

i don't understand this language but i think you want to simplify  it.

[tex]\frac{3x-3\sqrt{x} -3}{x+\sqrt{x} -2} -\frac{\sqrt{x} +1}{\sqrt{x} +2} +\frac{\sqrt{x} -2}{1-\sqrt{x} } \\=\frac{3x-3\sqrt{x} -3}{x+2\sqrt{x} -\sqrt{x} -2} -\frac{\sqrt{x} +1}{\sqrt{x} +2} -\frac{\sqrt{x} -2}{\sqrt{x} -1} \\=\frac{3x-3\sqrt{x} -3}{\sqrt{x} (\sqrt{x} +2)-1(\sqrt{x} +2)} -\frac{(\sqrt{x} +1)(\sqrt{x} -1)+(\sqrt{x} +2)(\sqrt{x} -2)}{(\sqrt{x} +2)(\sqrt{x} -1)} \\=\frac{3x-3\sqrt{x} -3}{(\sqrt{x} +2)(\sqrt{x} -1)} -\frac{(x-1)+(x-2)}{(\sqrt{x} +2)(\sqrt{x} -1)} \\[/tex]

[tex]=\frac{3x-3\sqrt{x} -3-2x+3}{(\sqrt{x} +2)(\sqrt{x} -1)} \\=\frac{x-3\sqrt{x} }{(\sqrt{x} +2)(\sqrt{x} -1)}[/tex]

Answer:

Please find attached the drawing of quadrilateral KLMN created with MS Whiteboard using the Ink to Shape command

(a) Two pairs of opposite sides are [tex]\overline {KN}[/tex], [tex]\overline {LM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {NM}[/tex]

(b) Two pairs of opposite angles are ∠LKN, ∠LMN, and ∠KLM and ∠KNM

(c) Two pairs of adjacent sides are [tex]\overline {KN}[/tex], [tex]\overline {NM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {LM}[/tex]

(d) Two pairs of adjacent angles are ∠LKN, ∠KLM and ∠LMN, ∠KNM

Step-by-step explanation:

Answer:

Not a function

Step-by-step explanation:

Since  x  =  1  produces  y = 3  and  y  = 4 , the relation is not a function.

( − 2 , − 5) , ( − 1 , − 3 ) , ( 0 , 0 ) , ( 1 , 3 ) , ( 1 , 4 )

The domain cannot be the same value.

Answer:

the graph will be the parent function : |x|, but shifted down by 4 units

Step-by-step explanation:

Answer:

Simplifying

Simplifying

21 + x = 70

Solving

21 + x = 70

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21' to each side of the equation.

21 + -21 + x = 70 + -21

Combine like terms: 21 + -21 = 0

0 + x = 70 + -21

x = 70 + -21

Combine like terms: 70 + -21 = 49

x = 49

Simplifying

x = 49

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{21 + x = 70}[/tex]

[tex]\large\textsf{x + 21 = 70}[/tex]

[tex]\large\text{SUBTRACT 21 to BOTH SIDES}[/tex]

[tex]\large\textsf{x + 21 - 21 = 70 - 21}[/tex]

[tex]\large\text{CANCEL out: 21 - 21 because that gives you 0}[/tex]

[tex]\large\text{KEEP: 70 - 21 because that helps solve for the x-value}[/tex]

[tex]\large\textsf{x = 70 - 21}[/tex]

[tex]\large\textsf{\bf x = 49}[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 49}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

A

Step-by-step explanation:

b/ of shaded region can make to closed inequality & it's not closed to make open inequality.

Answer:

Step-by-step explanation:

Cross section is the isosceles trapezoid.

Area of trapezoid:

We have one of the bases and the height.

Let the difference of the base lengths is x.

We have:

The area is:

Answer:

3/5

=3*4/5*4

=12/20

I hope this will help.

Answer:12/20

Step-by-step explanation:

Answer:

2 × 2 × 3 × 5

Step-by-step explanation:

Given that,

The number = 60

To find,

Factors of 60 greater than 1 = ?

Procedure:

As we know,

Any of various numbers multiplied together to form a whole.

To find the factors of a number, we will have to do its prime factorization.

So,

The prime factorization of 60:

1 * 2 * 2 * 3 * 5 = 60

Since the factors greater than 1 are asked, the factors would be;

2 * 2 * 3 * 5

Thus, 2 * 2 * 3 * 5 is the correct answer.

Answer:

1/2

Step-by-step explanation:

You need to see how much times bigger or smaller the shape is after it's changed, that's the scale factor

The dialated image (blue one where it says J'K'T'P') seems like half the size of the black one, so we'll say the scale factor is half or 1/2 (if it's double then the scale factor is 2, for triple, it's 3)

Answered by GAUTHMATH

Answer:

c

Step-by-step explanation:

just look at 11 1/4, which is equals to 11 2/8. she recorded 3, and c is the only one which corresponds :) lmk if im wrong tho, the picture is kind of blurry

Answer:

The length of the third side is 7.81 inches and the perimeter of the triangle is about 18.81 inches

Step-by-step explanation:

Question incomplete please add the diagram

Answer:

B

Step-by-step explanation:

===========================================

Explanation:

There are a few approaches. Here's one way to solve.

Let d be the common difference between the terms.

We add d to each term of this arithmetic sequence to get the next term.

Focusing on the second equation, we can solve for d like so

m+d = 12

d = 12-m

This is then plugged into the third equation

n = m+2d

n = m+2(12-m)

n = m+24-2m

n = 24-m

Therefore,

m+n = m+(24-m) = 24

It turns out that it doesn't matter what m and n are because m+n is always equal to 24 in this case.

-----------------

A more concrete example:

Let's say m = 2. We won't set up n just yet but we'll be able to compute it fairly soon.

Since m = 2, this means d = 12-m = 12-2 = 10. This is the gap between adjacent or neighboring terms.

If d = 10, then the third term must be n = 12+d = 12+10 = 22

We can then see that m+n = 2+22 = 24

-----------------

I'll do another example:

m = 5

d = 12-m = 12-5 = 7

n = 12+d = 7 = 19

m+n = 5+19 = 24

Whenever in doubt, or if you get stuck, it helps to come up with actual numeric values to hopefully clear things up.

-----------------

An alternative way to get the answer:

Let's try to determine what m+n is actually saying. We have 12 right in the middle of the first term (m) and third term (n). Because the gap between the numbers is the same (that being d), we know that 12 is the midpoint of m and n. It might help to draw out a number line to see what's going on.

The midpoint of m and n is (m+n)/2

Set this equal to 12 and isolate the "m+n"

(firstTerm+thirdTerm)/2 = second term

(m+n)/2 = 12

m+n = 2*12

m+n = 24

So in general, if the first three terms of the arithmetic sequence are m, k, n, then m+n = 2k.

Given:

The function is:

[tex]f(x)=4x^5-8x^4+8x^2-4x[/tex]

To find:

The roots of the given equation.

Solution:

We have,

[tex]f(x)=4x^5-8x^4+8x^2-4x[/tex]

For roots, [tex]f(x)=0[/tex].

[tex]4x^5-8x^4+8x^2-4x=0[/tex]

[tex]4x(x^4-2x^3+2x-1)=0[/tex]

[tex]4x((x^4-1)+(-2x^3+2x))=0[/tex]

[tex]4x((x^2+1)(x^2-1)-2x(x^2-1))=0[/tex]

On further simplification, we get

[tex]4x(x^2+1-2x)(x^2-1)=0[/tex]

[tex]4x(x-1)^2(x+1)(x-1)=0[/tex]

[tex]4x(x+1)(x-1)^3=0[/tex]

Using zero product property, we get

[tex]4x=0[/tex]

[tex]x=0[/tex]

Similarly,

[tex]x+1=0[/tex]

[tex]x=-1[/tex]

And,

[tex](x-1)^3=0[/tex]

[tex]x=1[/tex]

Therefore, the zeroes of the given function are [tex]-1,0,1[/tex] and the factor form of the given function is [tex]f(x)=4x(x+1)(x-1)^3[/tex].

=======================================================

Explanation:

The table headers will look like choice A or choice C. Notice that we have simple yes or no questions along either the row or column labels; also, the labels are consistent. Choice B can be ruled out because the labels aren't consistent (or don't match up). Choice D is overcomplicated so it can be ruled out also.

We're told that 35 students play an instrument. That means 35 goes at the end of the "plays instrument" row, in the "total" column.

This is enough to see that choice A is the final answer

Furthermore, 30 students are in a band. So we have "30" at the bottom of the "band" column, and in the "total" row. The same applies to the 30 people not in band.

Answer:

1.732 is the value of cos C

Answer:

none of these

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos C = 4 sqrt(3)/ 5

cos C = 1.38564

Answer:

Step-by-step explanation:

1 milli liter = 0.135 grams

182.8 ml = 0.135 * 182.8 = 24.678 grams

Answer:

24.678

Step-by-step explanation:

Hope this helps :)

Answer: A, C, D

Step-by-step explanation:

To find which logarith simplifies to 2, we first need to know how they work.

We now know that [tex]log_a(a^x)=x[/tex].

This tells us that only A, C, D would work.

[tex]8^2=64\\ \\6^2=36\\\\10^2=100[/tex]

Note: whenever you have a log that doesn;t specify the base, it is always 10, as shown in D.

Answer:

[tex] \sin(45) = \frac{o}{h} \\ 0.7 = \frac{x}{18 \sqrt{2} } \\ 0.7 \times 18 \sqrt{2} = x \\ 0.7 \times 25.45 = x \\ 17.8 = x[/tex]

[tex] {x}^{2} + {y}^{2} =( 18 \sqrt{2} ) ^{2} \\ {17.8}^{2} + {y}^{2} = 648 \\ 316.84 + {y}^{2} = 648 \\ {y}^{2} = 648 - 316.84 \\ {y}^{2} = 331.16 \\ y = 18.19[/tex]

=========================================================

Explanation:

The rule we use is

[tex]\Large a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m[/tex]

where 'a' is the base, m stays in the role of the exponent, and n plays the role of the root index (eg: n = 3 is a cube root, n = 4 is a fourth root, and so on).

So for instance,

[tex]\Large 2^{3/4} = \sqrt[4]{2^3} = \left(\sqrt[4]{2}\right)^3[/tex]

or in this case,

[tex]\Large t^{5/8} = \sqrt[8]{t^5} = \left(\sqrt[8]{t}\right)^5[/tex]

Answer:

aman's son's age = 20

aman's age = 40

Step-by-step explanation:

let aman's son's age be x

aman's age = 2x

2x+5+x+5 = 70

3x+10=70

3x = 60

x = 20

2x = 40

Answer:

there are relationship between sides of two triangle

Step-by-step explanation:

if 2 multiply by 2 and it new form 4 you should multiply 2 to all side of first triangle so this means 1*2 f=2 and b*2=6 b= 3

Answer:

A. tangent

Step-by-step explanation:

Hi there!

Tangent circles are circles that intersect (or "touch") at exactly one point. These circles appear to have this characteristic.

I hope this helps!