Help
Solve the quadratic equation by any means. Identify the method and complete the explanation of why you chose it. Irrational answers may be left in radical form.

5x2 + 16x + 3 = 0

Part a: factoring
Completing the swuares

Taking the square roots
Which one


Part b:

Why:
There are not many factors to check
It is not factorable
B is = to zero

Answer:

0,24 m

Step-by-step explanation:

La table est un rectanble donc l'angle en  haut à droite est de 90°.

Tu connais donc un angle et le côté opposé à l'angle et tu cherche le côté adjacent.

On sait que tan(â) = [tex]\frac{Cote oppose}{Cote adjacent}[/tex] donc :

tan(40)= [tex]\frac{1,27}{x}[/tex]

[tex]\frac{1,27}{tan(40)} = x[/tex]

donc x ≈ 1,51 m

Le trou du mileu est à [tex]\frac{2,54}{2}[/tex] soit 1,27m du bord.

Donc elle doit taper à 1,51 - 1,27 = 0,24m du trou du milieu.

j'espère avoir été clair.

Answer:

0.008111533587 o 32/3945​

Step-by-step explanation:

The population of bacteria after 672 hours is 36000.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given question we have

The number of bacteria double is 336 hours.

And, the current population of bacteria is 9,000.

Therefore,

The population of bacteria after 336 hours = 9,000×2 = 18,000

⇒ the population of bacteria after 672 hours  = 18000 × 2 = 36000  

Hence, the population of bacteria after 672 hours is 36000.

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Answer:

D 26000

Step-by-step explanation:

100 x 100 = 10000

120 x 150 = 18000/2 = 9000

150 x 300 = 45000

10000 + 9000 = 19000

45000 - 19000 = 26000

Step-by-step explanation:

m / 5 = 25

m = 25 × 5

m = 125

.............

Answer:

125

Step-by-step explanation:

m/5 = 25

m = 25 x 5

m = 125

Answer:

6 inches

Step-by-step explanation: I did the test

Answer

HEY :) do you want hep with all f them or just some of the awnsers

Step-by-step explanation:

Answer:

Rounded to the tenth: 3.7

Hope this helped!

Answer:

the answer is a

Step-by-step explanation:

3.7

Answer:

The answer is D

Step-by-step explanation:

I just did this

The figure which has rotational symmetry is figure A.

It is the property of a shape that it looks same after some rotation by a partial turn.

In the figure given first shape has equal length of sides at each direction which means that if we rotates this figure then we will get same looking figure.

In the second figure when we rotates the figure vertically the it will look like a tower.

When we rotates the third figure they also look different.

In the graph figure are shown after some rotation.

Hence among all the figures given first figure has rotational symmetry.

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Answer:

a. $7.30

Step-by-step explanation:

2.35 + 1.85 + 3.10 = 7.30

Answer:

The Last option

Step-by-step explanation:

We see this figure has eight faces, so we already know the answer choice is D, because answer choice D is the only option with 8 faces.

Now let's prove this using Euler's Formula

F = Faces

V = Vertices

E = Edges

We see 12 vertices, 8 faces, and 18 edges. Now plug in the formula.

F + V = E + 2

8 + 12 = 18 + 2

20 = 20

Answer:

108

Step-by-step explanation:

I just divided! Hope this helps

Answer:

a

Step-by-step explanation:

Answer:

Area = 32 π in^2

Step-by-step explanation:

Area of the Circle : Area = 2 *π * r^2

diameter = 2 *radius

8 inches = 2 * radius

radius = 8 in/2 = 4 in

radius = 4 in

Area = 2 *π * r^2

Area = 2 *π * (4 in)^2

Area = 2 *π * 16 in^2

Area = 32 π in^2

Answer:

If you're using the exact number for pie then the answer is approximately 50.27. If you're using 3.14 for pie then the answer is 50.24.

Answer:

50 g

Step-by-step explanation:

Answer:

B: y = 2x + 3

Step-by-step explanation:

The 2x is the slope, and the 3 is the y-intercept

The y-intercept is kinda like how far the slope is from zero, but it can only be applied to the y-axis.

The slope is... well... the slope-- like how steep it is. If a slope is 2/1, like in the graph, it will go higher 2 units every 1 unit across. Or, if the slope is 1/4: The slope will go 1 unit higher every 4 units

Answer:

Step-by-step explanation:

Formula

The basic formula is

y = mx + b

m = the slope

b = the y intercept

What you know so far

y = mx + b.

You know that the slope = -3/4

y = - 3/4 x  + b

y intercept

The point is used to find the y intercept.

x = - 8

y = 5

Subtitute these two values into the equation above.

5 = -3/4 * (-8) + b          Multiply the factors on the right

5 =  6 + b                      Subtract 6 from both sides

5 - 6 = b                       Combine

-1 = b

Answer: y = -(3/4) x - 1

Answer:

[tex]\Longrightarrow:\boxed{\sf{y=-\dfrac{3}{4}x-1}}[/tex]

Step-by-step explanation:

Use the slope-intercept form.

Slope-intercept form:

[tex]\Longrightarrow: \sf{y=mx+b}[/tex]

X= (-8)

Y= 5

[tex]\sf{5=-\dfrac{3}{4}*(-8)+b}[/tex]

5=6+b

Subtract the sign.

5-6=b

Solve.

Isolate the term of b from one side of the equation.

Subtract the numbers from left to right.

⇒ 5-6=-1

⇒ -1=b

Change the equation.

⇒ b=-1

So, therefore, the y-intercept is -1.

[tex]\Longrightarrow: \boxed{\sf{y=-\dfrac{3}{4}x-1}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

[tex]\dfrac{x+1}{x-1}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{x^2-1}{x^2-2x+1}[/tex]

Factor the numerator and denominator

[tex]\implies \dfrac{(x+1)(x-1)}{(x-1)(x-1)}[/tex]

Factor out the common term [tex](x-1)[/tex]:

[tex]\implies \dfrac{x+1}{x-1}[/tex]

[tex]\rm{blue{ANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWER:}}[/tex]

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]blue{\boxed{ \red{\rm {CarryOnLearning!}}}}[/tex]

answer:

52

explanation:

52 is the highest shared factor of the two numbers.

52*5=260

52*7=364

--

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Answer:

1

Step-by-step explanation:

sin²(360⁰-x)+cosx.cos(360⁰-x)

sin²x+cosx.(cosx)

sin²x+cos²x

1

I hope it helped you

The volume of the pyramid with a square base, where the perimeter of the base is 14 m and the height of the pyramid is 8.8 m is 35.9 m³

First, we shall determine the determine the area of the square base. This is shown below:

P = 4L

14 = 4L

Divide both sides by 4

L = 14 / 4

L = 3.5 m

Now, the area is obtained as follow

A = L²

A = 3.5²

A = 12.25 m²

Finally, we shall determine the volume of the pyramid. Details below:

V = ⅓Ah

V = ⅓ × 12.25 × 8.8

V = 35.9 m³

Thus, we can conclude that the volume of the pyramid is 35.9 m³

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Answer:

1. biased sample: sample not representative of the entire population

2.convenience sample: sample where representatives are easily accessible

3.unbiased sample: sample where every member of the population has an equal chance

4. self-selected sample: sample where members volunteer to take part

5. stratified sample: members are selected from the different subgroups within a population

6. systematic sample: sample members are selected through the use of a rule.

Hope this helps!!

1. biased sample: sample not representative of the entire population

2.convenience sample: sample where representatives are easily accessible

3.unbiased sample: sample where every member of the population has an equal chance

4. self-selected sample: sample where members volunteer to take part

5. stratified sample: members are selected from the different subgroups within a population

6. systematic sample: sample members are selected through the use of a rule.

Hope this helps!!

Answer:

453

Step-by-step explanation:

12×48=576 (number of stickers she has)

576-123=453 (number of stickers she had-number of stickers she had left)

answer:

A=46°

a=17.983 (tenths- 18, hundredths- 17.98)

b=17.366 (tenths- 17.4, hundredths- 17.37)

explanation:

1. find angle A

it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.

90°+44°=134°

180°-134°=46°

A=46°

2. find side a

using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.

cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)

25cosine44°=a
a=17.983

3. find side b

finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.

sine44°=[tex]\frac{b}{25}[/tex]

(multiply both sides by 25)

25sine44°=b

b=17.366

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[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here,

[tex]\sf{ x + 2y = 13 ...eq(1)}[/tex]

[tex]\sf{ x + 5y = 28 ...eq(2)}[/tex]

By solving eq(1) :-

[tex]\sf{ x + 2y = 13 }[/tex]

[tex]\sf{ x = 13 - 2y ...eq(3)}[/tex]

Subsitute eq(3) in eq(2) :-

[tex]\sf{ (13 - 2y) + 5y = 28 }[/tex]

[tex]\sf{ 13 - 2y + 5y = 28 }[/tex]

[tex]\sf{ 13 + 3y = 28 }[/tex]

[tex]\sf{ 3y = 28 - 13 }[/tex]

[tex]\sf{ 3y = 28 - 13 }[/tex]

[tex]\sf{ 3y = 15 }[/tex]

[tex]\sf{ y = }{\sf{\dfrac{ 15}{3}}}[/tex]

[tex]\sf{ y = }{\sf{\cancel{\dfrac{ 15}{3}}}}[/tex]

[tex]\bold{ y = 5 }[/tex]

Thus, The value of y is 5

Subsitute the value of y in eq(1) :-

[tex]\sf{ x + 2(5) = 13 }[/tex]

[tex]\sf{ x + 10 = 13 }[/tex]

[tex]\sf{ x = 13 - 10 }[/tex]

[tex]\bold{ x = 3 }[/tex]

Hence, The value of x and y are 5 and 3 .

[tex]\bold{\huge{\underline{ Let's \: Verify }}}[/tex]

[tex]\sf{ x + 2y = 13 }[/tex]

[tex]\sf{ 3 + 2(5) = 13 }[/tex]

[tex]\sf{ 3 + 10 = 13 }[/tex]

[tex]\sf{ 13 = 13 }[/tex]

[tex]\bold{ LHS = RHS }[/tex]

[tex]\sf{ x + 5y = 28 }[/tex]

[tex]\sf{ 3 + 5(5) = 28 }[/tex]

[tex]\sf{ 3 + 25 = 28 }[/tex]

[tex]\sf{ 28 = 28 }[/tex]

[tex]\bold{ LHS = RHS }[/tex]

Let's use elimination method

We get

[tex]\\ \rm\Rrightarrow 2y-5y=13-28[/tex]

[tex]\\ \rm\Rrightarrow -3y=-15[/tex]

[tex]\\ \rm\Rrightarrow y=\dfrac{-15}{-3}[/tex]

[tex]\\ \rm\Rrightarrow y=5[/tex]

Putting on eq(1)

[tex]\\ \rm\Rrightarrow x+2y=13[/tex]

[tex]\\ \rm\Rrightarrow x+2(5)=13[/tex]

[tex]\\ \rm\Rrightarrow x+10=13[/tex]

[tex]\\ \rm\Rrightarrow x=13-10[/tex]

[tex]\\ \rm\Rrightarrow x=3[/tex]

[tex]\LARGE{\underbrace{\underline{\rm{Verification:-}}}}[/tex]

[tex]\\ \rm\Rrightarrow x+2y=13[/tex]

[tex]\\ \rm\Rrightarrow 3+2(5)=13[/tex]

[tex]\\ \rm\Rrightarrow 3+10=13[/tex]

[tex]\\ \rm\Rrightarrow 13=13[/tex]

And

[tex]\\ \rm\Rrightarrow x+5y=28[/tex]

[tex]\\ \rm\Rrightarrow 3+5(5)=28[/tex]

[tex]\\ \rm\Rrightarrow 3+25=28[/tex]

[tex]\\ \rm\Rrightarrow 28=28[/tex]

Hence verified!

No, not a right-angle triangle

The 3.5 should be 3.3 instead

Hope this helps!

Answer:

no ,left

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

2 × 34 + 72 ÷ 3

(2 × 34) + (72 ÷ 3)

68 + 24 = 92

I hope this helps!

Let's see

[tex]\\ \rm\Rrightarrow {\displaystyle{\sum^{275}_{k=1}}}(-5k+12)[/tex]

[tex]\\ \rm\Rrightarrow (-5(1)+12)+(-5(2)+12)\dots (-5(275)+12)[/tex]

[tex]\\ \rm\Rrightarrow 7+5+3+2+1+\dots -1363[/tex]

So

Sum:-

[tex]\\ \rm\Rrightarrow S_n=\dfrac{n}{2}[a+l][/tex]

[tex]\\ \rm\Rrightarrow \dfrac{275}{2}(7-1363)[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{275}{2}(-1356)[/tex]

[tex]\\ \rm\Rrightarrow 275(-678)[/tex]

[tex]\\ \rm\Rrightarrow -186450[/tex]

Answer:

-186,450

Step-by-step explanation:

Sum of arithmetic series formula

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

where:

[tex]\displaystyle \sum\limits_{k=1}^{275} (-5k+12)[/tex]

To find the first term, substitute [tex]k = 1[/tex] into [tex](-5k+12)[/tex]

[tex]a_1=-5(1)+12=7[/tex]

To find the common difference, find [tex]a_2[/tex] then subtract [tex]a_1[/tex] from [tex]a_2[/tex]:

[tex]a_2=-5(2)+12=2[/tex]

[tex]\begin{aligned}d & =a_2-a_1\\ & =2-7\\ & =-5\end{aligned}[/tex]

Given:

[tex]\begin{aligned}S_{275} & = \dfrac{275}{2}[2(7)+(275-1)(-5)]\\& = \dfrac{275}{2}[14-1370]\\& = \dfrac{275}{2}[-1356]\\& = -186450\end{aligned}[/tex]