Factor out the greatest common factor from the following polynomial.
3 2
15a + 3a + 1

Answer:

- 179

Step-by-step explanation

There are numbers behind Zeros and they are known as negtive numbers

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To find :-

The base of a triangle glass window

Given :-

Height of the window = 48 inches

Area of glass = Area of traingle = 1728 square inches

There is a formula to find area of triangle

[tex]area = \frac{1}{2} \times base \times height \\ 1728 = \frac{1}{2} \times base \times 48 \\ 1728 = 24 \times base \\ \frac{1728}{24} = base \\ 72 \: inches = base[/tex]

Result :-

The base of triangle window of beach house is 72 inches.

Answer:

30.67

Step-by-step explanation:

[tex] \frac{9}{ \sin(x) } \: = \frac{16}{ \sin(115) } \\ \\ \frac{9}{ \sin(x) } \: = \frac{16}{ 0.91 } \: \: \\ \\ \frac{9 \times 0.91}{16} = \sin(x) \\ x = 30.67[/tex]

[tex]5 < \sqrt{30} < 6[/tex]

[tex]Locate\ \sqrt{30}\ between\ two\ integers:\\ \downarrow\\ 5 < \sqrt{30} < 6[/tex]

I hope this helps you

:)

Answer:

After 16 days:  17.6 pounds

After 6 weeks: 46.2

Step-by-step explanation:

1.1 x 16 = 17.60

42 x 1.1 = 46.2  (6 weeks x 7 days a week = 42)

The weight loss after 16 days will be 17.6 pounds and after 6 weeks will be  46.2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that during a​ 6-week weight-loss​ regimen, Tony lost weight at a rate of 1.1 pounds per day.

The weight loss after 16 days will be calculated as,

1.1 x 16 = 17.60 pounds

The weight loss after 6 weeks will be calculated as,

42 x 1.1 = 46.2  (6 weeks x 7 days a week = 42)

Therefore, the weight loss after 16 days will be 17.6 pounds and after 6 weeks will be  46.2.

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Answer:

Number 1, or letter H should be 3 and 3.

Step-by-step explanation:

There's 1 hamburger, 1 hot dog and 1 chicken sandwich. Sandwich wise it's 3.

There's 1 cola, 1 diet cola and 1 lemonade, thus making it 3 as well.

The paint in the pot is an illustration of a linear equation and the weight of the full pot is 11.2 kg

The given parameters can be represented using the following ordered pairs:

(x,y) = {(0.5, 5.8) and (0.25, 3.1)}

The slope of the equation is calculated using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (3.1 - 5.8)/(0.25 - 0.5)

Evaluate

m = 10.8

The equation is then calculated using:

y = m(x - x1) + y1

This gives

y =  10.8(x - 0.5) + 5.8

Expand

y =  10.8x + 0.4

When the pot is full, we have x = 1

So, the equation becomes:

y =  10.8 * 1 + 0.4

Evaluate

y =  11.2

Hence, the weight of the full pot is 11.2 kg

Read more about linear equations at:

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Answer:

42 sq. cm

Step-by-step explanation:

Answer: 42 sq. cm

Length of Big Rectangle: 7

Width of Big Rectangle 7+0.5+0.5 = 8

Area of Big Rectangle: 56

Area of Small Rectangle = 0.5*7 = 3.5

Area of 4 Small Rectangles = 3.5 *4 = 14

Shaded Area = Big Rectangle - 4 Small Rectangles = 56 - 14 = 42 sq. cm

Answer:

the answer is c

Step-by-step explanation:

first add : 42+63=105

so you need to solve the expressions until you find the one that equal the same amount.

start with the problem in the parenthesis then multiply.

you will find that C equals 105

6+9=15

15×7=105

Answer:

B

Step-by-step explanation:

just look up its responsibilities as a branch, and its judicial its in its name

Answer:

5.1666666666667

To solve ✅

We know that...

[tex]5\frac{1}{6} = 5 + \frac{1}{6}[/tex]

So that means

[tex]\frac{1}{6}[/tex] = 1 ÷ 6

And with that info, 5 1/6 becomes

[tex]5 + (\frac{1}{6})[/tex]

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Solve by improper fractions ➗

We know from the last problem that...

[tex]5\frac{1}{6} = 5 + \frac{1}{6}[/tex]

Converting 5 as a whole number to a fraction, it becomes

[tex]5 = \frac{5}{1}[/tex]

Now it becomes...

[tex]\frac{5}{1} + \frac{1}{6}[/tex]

Since the fractions will not change, first find the whole, then multiply your improper fraction by the whole, and add the part

[tex]\frac{6}{6}\\\\ = (\frac{5}{1} * \frac{6}{6} ) + \frac{1}{6}[/tex]

Converting to improper fraction

[tex]\frac{30}{6}\\\\= \frac{30}{6} + \frac{1}{6}(part) = \frac{31}{6}[/tex] never add the denominators when they are equal.

We know that...

[tex]\frac{31}{6}[/tex] = 31 ÷ 6

Whose quotient is equal to

[tex]5.166[/tex]

________________________________________________________

Need more information? Ask in comments.

Answer:

Step-by-step explanation:

Domain is ( - ∞ , ∞ )

Range is [ 0 , 1 ] ∪ ( 2 , ∞ )

para lang po sa points hehe

Answer:

Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio (in other words, if they are proportional). Typically, problems with similar polygons ask for missing sides.

Step-by-step explanation:

this is the correct answer

Answer:

20

Step-by-step explanation:

[tex]\frac{32}{1.6} =\frac{32}{\frac{16}{10}} =32*\frac{10}{16} =\frac{320}{16} =20[/tex]

So the answer is 20

Answer:

I believe the answer is 20

Answer:

2-x

Step-by-step explanation:

[tex]~~~~~\sin 30^{\circ} = \dfrac{\text{Perpendicular}}{\text{Hypotenuse} }\\\\\\\implies \dfrac 12 = \dfrac{8}x\\\\\\\implies x = 8\cdot2\\\\\\\implies x = 16 ~ \text{cm.}[/tex]

The measure of the side length is 16 cm after applying the sin ratio which is the side opposite to the angle/hypotenuse.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

A right-angle triangle is shown in the picture.

To find the side length of the hypotenuse apply the sin ratio

sin30 = side opposite to the angle/hypotenuse

1/2 = 8/x

x = 8(2)

x = 16 cm

Thus, the measure of the side length is 16 cm after applying the sin ratio which is the side opposite to the angle/hypotenuse.

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The simplified form of the expression 173‾√−295‾√+33‾√+115 is; (1/73) (√-23/1947)

It follows from the task content that expression given is; 173‾√−295‾√+33‾√+115.

It therefore follows that the expression can be simplified as follows;

On this note, it follows that the simplified form of the expression is; (1/73) (√-23/1947).

Read more on simplifying an expression;

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Answer:

Line LK is the dimameter

Step-by-step explanation:

A diameter is a line that goes through the center and goes from one end a the circle to the other end of the circle.

Hope this helps!!

Answer:

[tex]f(x)=2^x[/tex]

Step-by-step explanation:

Exponential function:

[tex]f(x)=a(b^x)+c[/tex]

Step 1. Find a, y-intercept

Step 2. Find b, slope

Step 3. Find c, horizontal asymptote

a = 1

m = (y₂ - y₁)/(x₂ - x₁)

m = (3 - 1)/(1 - 0) = 2/1

b = 2

c = 0

[tex]f(x)=1(2^x)+0\\f(x)=2^x[/tex]

Answer:

The score of class b were better than the scores of class a.

the median for class a was 77.5

the median for class b was 90

therefore class b overall scored better on the quiz than class a

Step-by-step explanation:

hope this helps :)

Answer:

258.65 mg will be remain after 1000 years

Step-by-step explanation:

This problem can be solved several ways, I prefer the natural log approach for reasons I won’t go into here:

Activity final = Activity initial e^-kt, where

k = the decay constant, = ln2/half life = 0.693/1590, = 0.000436/year

t = the decay time, in the same time base as k

The problem can be worked in units of activity, mass, or number of atoms.

400 x e^-0.000436 x 1000 = 400 x e^-.436 = 258.65 mg

you can check this by estimating. There is about 2/3 of a half life, so there should be more than 200 mg, which would be the value at one half life.

Answer:

5600*.065=364

5600+364=$5964 in the account at the end of the year.

Step-by-step explanation:

Answer:

22.5% = 22.5/100

(22.5/100)*6600

How much money was in his account at the end of last year?

$2200 plus the increase

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