Simplify the following polynomial and write the answer in standard form

Answer:

x=28

Step-by-step explanation:

[tex]\huge\bold{To\:find:}[/tex]

✎ The value of [tex]x[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:value\:of\:x\:is\:28°. }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Since it is right-angle,

[tex]Sum \: of \: angles \: = 90° \\ ⇢ (2x + 1) + 33 ° = 90° \\ ⇢2x + 34° = 90° \\ ⇢2x = 90° - 34° \\⇢ 2x = 56° \\⇢ x = \frac{56° }{2} \\ ⇢x = 28° [/tex]

[tex]\sf\blue{Therefore,\:the\:value\:of\:x\:is\:28°.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex](2x + 1) + 33° = 90° \\ ➡ \: 2 \times 28° + 1 + 33° = 90° \\ ➡ \: 56° + 34° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

Height of parallelogram = 30 meter

Step-by-step explanation:

Given:

Area of parallelogram = 570 square meters

Find:

Height of parallelogram

Computation:

Base of parallelogram = 19 meter

Area of parallelogram = Base of parallelogram x Height of parallelogram

570 = 19 x Height of parallelogram

Height of parallelogram = 570 / 19

Height of parallelogram = 30 meter

Answer:

b) y=60x + 100

Step-by-step explanation:

Answer:

Step-by-step explanation:

take angle x as reference angle

using sin rule

sin x=opposite/hypotenuse

sin x=11/13

sin x=0.846

x=sin 57.8

x=57.8 degree

Answer: [tex]10.8\ ft[/tex]

Step-by-step explanation:

Given

A model car is built with a scale of 1 inch: 4 feet

If the length of the model car is 2.7 inches

Suppose the length of the car is l

[tex]\therefore \dfrac{1}{4}=\dfrac{2.7}{l}\\\\\Rightarrow l=2.7\times 4\\\Rightarrow l=10.8\ ft[/tex]

Therefore, the length of the car is [tex]10.8\ ft[/tex]

Answer:

x=+[tex]\frac{\sqrt{4y-7}-1 }{2}[/tex]

Step-by-step explanation:

Quadratic function =( -b+[tex]\sqrt{b^2+4ac}[/tex]  )/2a

x^2+x+2-y=0

x=-1+[tex]\sqrt{1^2-4(2-y)}[/tex] /2

x=-1+[tex]\sqrt{4y-7}[/tex] /2

x=+ [tex]\frac{\sqrt{4y-7}-1 }{2}[/tex]

Pretty sure this is right. Would appreciate a brainliest

Answer:

Option C: (3*x)^2 = 324

Step-by-step explanation:

Janene is solving the equation:

Log₃ₓ(324) = 2

First, some rules we need to remember:

Logₙ(x) = Ln(x)/Ln(n)

and:

Ln(x^b) = b*Ln(x)

So we can rewrite our expression as:

Log₃ₓ(324) = Ln(324)/Ln(3*x) = 2

Ln(324) = 2*Ln(3*x)

Now we can use the second property:

Ln(324) = 2*Ln(3*x) = Ln( (3*x)^2 )

The arguments in both sides must be the same thing, then:

324 = (3*x)^2

This is the exponential equation she needs to solve.

Then the correct option is C.

Original price = 3300

sale = 20% = 3300×20/100 = 660

Selling price= 3300-660= 2640 rs

the sale price of the bicycle is 2640 Rs

Answer:

$27-$15

= $12

$3 per hour

$12÷$3

=4 hours

Jessica rent the bike for 4 hours.

Answer:

A = 7

Step-by-step explanation:

√50 = 7.07

approximating it will give you

= 7

Answer:

56

Step-by-step explanation:

Simple just move the semicircle into the empty spot and there you go.

The experimental probability of an even number other than 8 being generated is, 0.44

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

Total number of numbers = 300

Number of even numbers = 154

Number of eight = 22

Hence, Number of even numbers other than 8 is,

154 - 22 = 132

Thus, Probability is,

= [number of even numbers other than eight] / [total number of numbers]

= 132/300

= 0.44

Thus, The experimental probability of an even number other than 8 being generated is, 0.44

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ7

2.897

This should be you're anwser.

Answer:

Between 0 and 3: decreasing

Between 3 and 4: constant (stays the same)

Between 4 and 8: decreasing

Step-by-step explanation:

Answer:

I THINK it's B 1/2

Step-by-step explanation:

Sorry if wrong

Answer:

In this case, D

Step-by-step explanation:

Sin(30+60)=0.8939966636 which can be rounded to 0.89.

Now that we got that out of the way, we supposedly can follow the process of elimination.

It's clearly not A since we know the answer isn't equivalent to zero.

1/2 equals 0.5, meaning B's also not it.

We also know the answer isn't D, since 0.89 does not equal 1.

That only leaves C. Yet when check, just in case, √3/2 equals 1.22474487, meaning that's not the answer.

We've eliminated every answer so far, meaning we should go back and check our work. As I stated earlier, 0.8939966636 can be rounded to 0.89, but it can also be rounded to 1. Meaning, the closest answer to what we're looking for is D.

Of course, there could always be an error in the question itself, but unfortunately, there's no way to confirm that without asking your instructor or tutor.

I hope that helps.

Answer:

La respuesta correcta es la opción C: 91 cm³.

Step-by-step explanation:

La fórmula del volumen de un cubo es la siguiente:

[tex] V = a^{3} [/tex]

En dónde:

a: es cada lado del cubo = 4,5 cm

Entonces, el volumen del cubo es:

[tex] V = a^{3} = (4,5 cm)^{3} = 91.1 cm^{3} \approx 91 cm^{3} [/tex]

Por lo tanto, la respuesta correcta es la opción C: 91 cm³.  

Espero que te sea de utilidad!

Answer:

2

Step-by-step explanation:

you have to dived 3/4 by 3/8= 24/12=2

9514 1404 393

Answer:

  19.6 in²

Step-by-step explanation:

The area in terms of the diameter is given by ...

  A = (π/4)d²

  A = π/4(5 in)² = 25π/4 in² ≈ 19.6 in²

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

Explanation:

distance = rate*time

90 = r*t

where r is the slower speed and t is the time it takes when going that slower speed.

If r is bumped up 24 mph faster, to r+24, then Santos takes t-12 hours to get there. The second equation is

90 = (r+24)(t-12)

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

We can solve the first equation for r to get r = 90/t

Then plug this into the second equation and do a bit of algebra

90 = (r+24)(t-12)

90 = (90/t+24)*(t-12)

90 = 90 - 1080/t + 24t - 288

90t = 90t - 1080 + 24t^2 - 288t

0 = 90t - 1080 + 24t^2 - 288t-90t

0 = 24t^2 - 288t - 1080

24t^2 - 288t - 1080 = 0

If you apply the quadratic formula, then you should get the two solutions t = -3 and t = 15. Due to time constraints, I'll skip these steps.

We'll ignore the negative t value. It makes no sense to have a negative time.

So we focus on t = 15 as the only solution.

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

If t = 15, then,

r = 90/t

r = 90/15

r = 6

Santos rode his bike at 6 mph at first. Going this speed means he takes 15 hours.

If he rode 24 mph faster, at 6+24 = 30 mph, then he would ride for 15-12 = 3 hours instead. Note that 90/30 = 3.

Answer:

B) -3

Step-by-step explanation:

The coefficient is the numerical value placed before and multiplying the variable (x).

Answer:

-3

Step-by-step explanation:

that's answer

hope it helps

Answer:

Step-by-step explanation:

Hope this helps u!!

Hi there!  

»»————-　★　————-««

I believe your answer is:

"1. Two less than seven times a number equals thirty-three."

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Breaking the equation down:}}\\\\7x-2=33\\-------\\\rightarrow \text{'7x' - Seven times a number. The unknown value is 'x'.}\\\\\rightarrow \text{' - 2' - Minus 2.}\\\\\rightarrow \text{'= 33' - Equals 33.}\\---------\\\text{The phrase "'X' less than 'Y'" indicates:}\\\\Y - X \\---------\\\text{Two less than 7 times a number would be:}\\\\\boxed{7x - 2}[/tex]

⸻⸻⸻⸻

The first statement should be the appropriate statement for the given equation.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Step-by-step explanation:

X=7 or x=5

It might be two answer to this question

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

[tex]\large\textsf{(x - 7) (x - 5)}[/tex]

[tex]\large\text{DISTRIBUTE each of the numbers}[/tex]

[tex]\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}[/tex]

[tex]\large\textsf{x(x) = \bf x}\bf ^2[/tex]

[tex]\large\textsf{x(-5) = \bf -5x}[/tex]

[tex]\large\textsf{-7(x) = \bf -7x}[/tex]

[tex]\large\textsf{(-7)(-5) = \bf 35}[/tex]

[tex]\mathsf{x^2 - 5x -7x + 35}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS}[/tex]

[tex]\mathsf{x^2 -(5x - 7x) + 35}[/tex]

[tex]\mathsf{-5x -7x = \bf -12x}[/tex]

[tex]\mathsf{x^2 - 12x + 35}[/tex]

[tex]\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitirite1040:)}[/tex]

Answer:

the population means are known the population variances are assumed equal but unknown

Step-by-step explanation:

If σ1= σ2  (= σ)  but unknown , then the biased pooled or combined estimate of the common variance σ² ( the term common variance means that each population has the same variance ) is given by

Sp²= (n1-1) s1² + (n2-1) s2²/ n1+ n2- 2

So first assumption is correct.

When the population variances are assumed unequal and unknown

If σ1 ≠ σ2    but unknown

we use the sample estimates s1 and s2 to compute the standard error of the difference between the means.

S(x1`- x2`) = √s1²/ n1 + s2²/n2

So this is does not apply here.