Math: Surface Area word problem..10 pts for your help!

Answer:

I think the answer is 7

don't blame me if I'm wrong

Answer:

359

Step-by-step explanation:

the prime factors of the numbers are

18 = 2×3×3

20 = 2×2×5

24 = 2×2×2×3

the lowest common multiple is therefore

2×2×2×3×3×5 = 360

the difference between the checked divisor numbers and the expected remainder is constantly 1 :

18 - 17 = 1

20 - 19 = 1

24 - 23 = 1

so, we can deduct this constant 1 from the LCM and get the desired number :

360 - 1 = 359

verify :

359 ÷ 18 = 19 remainder 17

359 ÷ 20 = 17 remainder 19

359 ÷ 24 = 14 remainder 23

Answer:

The number of computers that must be surveyed is 1681.

Step-by-step explanation:

The formula to find the sample size is given by:-

[tex]n=p(1-p)(\frac{\frac{z_{\alpha } }{2} }{E} )^{2}[/tex]

where p = prior population proportion,

[tex]\frac{z_{\alpha }}{2}[/tex]= Two-tailed z-value for ∝

E= Margin of error.

As per the given, we have

Confidence level :

1 - ∝ = 0.90

⇒∝= 1 - 0.90= 0.10

Two -tailed z-value for ∝= 0.10 : [tex]\frac{z_{\alpha }}{2}[/tex] = 1.64

E= 2%=0.02

We assume that nothing is known about the percentage of computers with new operating systems.

Let us take p=0.5  [we take p= 0.5 if the prior estimate of proportion is unknown.]

The required sample size will be:-

[tex]n= 0.5(1-0.5)(\frac{1.64}{0.02} )^{2}[/tex]

=> [tex]0.25(82)^{2}[/tex]

=> 1681

Hence, the number of the computer must be surveyed = 1681

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Answer:

3, -1, 1 and 0

Step-by-step explanation:

An expression is undefined when the denominator is equal to 0 as you cannot divide by 0 in Mathematics. Therefore you are looking for the values of x which will result in either or both denominators equaling 0.

This simply means finding the solutions to the quadratics in the denominators.

First equation is [tex]x^{2} -2x-3[/tex].

One way you can solve this equation is using factorization (putting the equation into two sets of brackets which show the solutions) which puts the equation in the solvable form: (ax+b)(cx+d).

Firstly, we can deduct that a and c are both 1 as ax and cx multiply to give the x^2 term, the co-efficient of which is 1. Since only 1 and 1 can multiply to 1, a and c must both be 1.

Now, in order to work out b and d we need to find the possible factor combinations for -3 as b and d multiply to give the constant term. The only possible combination is 1x3, therefore b and d can either be -1 and 3, or -3 and 1.

To work this out we look at the x term. We see it is -2x. b and d will add to give the co-efficient.

Therefore we know that they are -3 and 1 as -3+1 = -2

We now have the equation: (x+1)(x-3)

Setting it to 0 gives us: [tex](x+1)(x-3)=0[/tex]

This tells us the solutions to this equation are x= -1 and x= 3 as substituting these values for x will result in a bracket adding to 0 so both those options can be selected as your answer.

The second equation [tex]2x^{2} +2x[/tex] can be approached with a slightly easier method. Both terms have a 2x, so we can condense it into a bracket by dividing both terms by the common factor and moving the factor outside. Factorizing this equation in this fashion gives us: [tex]2x(x+1)=0[/tex]

Now our solutions are x=0 and x=1.

Combined from both equations the correct options are: 3, -1, 1 and 0.

Hope this helped!

The team gain 1490 yards by rushing during the season.

Football yardage is the number of yards that a team or player manages to move the ball forward toward their opponent's end zone.

According to the question,

A football teams offense T is found by adding the total passing yardage P to the total rushing yardage R,

i.e.  T=P+R

In 2012,

The teams total offense was 4559 yards.

The teams passing yardage was 3069 yards.

By using the formula

T=P+R

T = 4559 yards , P = 3069 yards

Put the values in the above equation;

4559 =  3069 - R

4559 - 3069 = R

R = 1490 yards

Therefore , 1490 yards the team gain rushing during the season.

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Answer:

-2(10(-4))²

-2(-40)²

-2 × 1600

= -3200

Answer: = -3200

Step-by-step explanation:

took the test

Answer:

slope: 3

y-intercept: (0, -1)

Find slope:

[tex]\sf slope : \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here given points are: (0, -1), (3, 8)

[tex]\rightarrow \sf slope : \dfrac{8-(-1)}{3-0} = \dfrac{9}{3} = 3[/tex]

When finding y-intercept, the value of x is 0. Here given y is -1 when x is 0.

y-intercept: -1  or  (0, -1)

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

If a linear function contains these points: (0,-1) and (3,8), what is its slope and y-int.?

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

Formula utilised, here [tex]\bf{\dfrac{y2-y1}{x2-x1}}[/tex].

Put in the values,

[tex]\bf{\dfrac{8-(-1)}{3-0}}[/tex]  | subtract on top and bottom

[tex]\bf{\dfrac{9}{3}}[/tex] | divide on top and bottom

[tex]\bf{3}[/tex]

The y-intercept is the second co-ordinate of the point (0,-1)

[tex]\bf{Which\;is\;-1}[/tex].

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

                      [tex]\bf{\begin{cases} \bf{Slope=3} \\ \bf{Y-int. -1} \end{cases}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic\not1 \theta l}}[/tex]

Answer:

Area: 15.53 square inches

Perimeter: 15.71 inches

Step-by-step explanation:

Area:

So the area of the rectangle is pretty easy to find and is just the width * height. In this case it's 4 * 3 which is 12. Now the area of a circle is [tex]\pi r^2[/tex]. But since this is a semi circle it's half of that which is [tex]\frac{\pi r^2}{2}[/tex]. The diameter of the semicircle is 3 as it sits on top of the rectangle. The radius is half of the diameter so the radius is 1.5. Now plug that into the equation and you get [tex]\frac{(3.14) (1.5)^2}{2} = 3.5325[/tex]. Now add that to 12 and you get 15.5325. Round that number to the nearest hundredth and you get 15.53. So that's the area.

Perimeter:

Pi is the ratio of any circle's circumference to the diameter. Or in other words the circumference is equal to the diameter * 3.14. The diameter is 3 which you multiply by 3.14 to get the circumference of a circle. This will get you 9.42 but since it's a semicircle, the circumference is half of this value which is 4.71. The perimeter of the rectangle is just 2 times the width + 2 times the height. This is not completely the case in this shape since one of the sides of the rectangle is not a side of the two shapes joined together. Which is the side that is parallel to the side of length 3 inches. So the perimeter is going to be 2(4) + 3. This gives you 11 which you add to the 4.71 and get 15.71

Answer:

f(1)= 3×1 + 2 = 5

....

.....

....

f(5)= 3×5 + 2 = 17

Answer:

f(5) = 17

Step-by-step explanation:

Given: f(x) = 3x + 2

We are asked to find the value of the function when the value of x is 5

Substitute 5 as the value of x in the function:

⇒ f(x) = 3x + 2

⇒ f(5) = 3(5) + 2 [multiply]

⇒ f(5) = 15 + 2 [add]

⇒ f(5) = 17

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The tax paid by the condominium owner  is $2,632.88.

Tax is a compulsory levy that is paid to the government. The type of tax that is paid by the condominium owner is known as property tax.

Tax paid = (78,584 / 100) x $3.49 x (1 - 0.04) = $2,632.88.

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The quotient is x+1.

Long division is a method for dividing one large multi digit number into another large multi digit number.

Given:

f(x)=  x²+2x+1

g(x)= x+1

The steps to divide the polynomial is :

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Answer:

6230 will be answer I think

Mark me as Brainliest

Answer:

Well, it's to the nearest thousand, and we know that 6289 is 6 thousand 2 hundred and 89. So, you look at the number next to the thousand which is the hundreds, and as we can see that is 2. Therefore it will be 6000, as 6289 cannot be rounded to 7000 since 2 doesn't exceed 5.

So, the answer is 6000

(I don't mind being marked brainliest for this I'd just like to help someone. :)

Answer:

a) A dozen= 24

3 dozen= 24 x 3

= 72

b) 1 dozen= 12 bananas

A dozen cost= 24

So, 1 banana cost= 24/12

= 2

So, 6 bananas would be 2 x 6 = 12

c) 1 dozen= 12 bananas

A dozen cost= 24

1 banana cost= 24/12

= 2

d) I need to know how many people are there in your class so please mention that first :)

Mark me brainliest pleaseee

The answers are

1). warmer

2). higher

3). end behavior

A refrigerator is a device which is designed to remove heat from a space that is at lower temperature than its surroundings.

When Gianna initially placed the two cups in the refrigerators, the liquid placed in refrigerator A was warmer than the liquid placed in refrigerator B.

The end behavior of the two functions implies that refrigerator A is set to a higher temperature than refrigerator B.

The graph for the question given below.

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Answer:

1.  x = 55°

2.  x = 11°

3.  x = 30°

4.  x = 19°

Step-by-step explanation:

Trigonometric Identities

[tex]\sin(x)=\cos(90^{\circ}-x)[/tex]

[tex]\cos(x)=\sin(90^{\circ}-x)[/tex]

Question 1

[tex]\begin{aligned}\implies \sin(35) & =\cos(90-35)\\ & = \cos(55)\end{aligned}[/tex]

[tex]\implies x=55^{\circ}[/tex]

Question 2

[tex]\begin{aligned}\implies \cos(79) & =\sin(90-79)\\ & = \sin(11)\end{aligned}[/tex]

[tex]\implies x=11^{\circ}[/tex]

Question 3

[tex]\begin{aligned}\cos(x)& =\sin(2x)\\\implies \cos(x)& =\sin(90^{\circ}-x)\\\\\implies 2x & = 90-x\\3x & = 90\\x & = 30^{\circ}\end{aligned}[/tex]

Question 4

[tex]\begin{aligned}\sin(x+4)& =\cos(4x-9)\\\implies \sin(\theta)& =\cos(90^{\circ}-\theta)\\\\\implies x+4 & = 90-(4x-9)\\x+4 & = 90-4x+9\\5x & = 95\\x & = 19^{\circ}\end{aligned}[/tex]

Answer:

y=-45x + 100

Step-by-step explanation:

The slope-intercept form is y=mx+b where m is the slope and b is the y-intercept or in other words the initial amount (when x is 0). Since you start off with 100 dollars the y-intercept is going to be 100 since after 0 weeks (when you opened the account) you put 100 dollars in... so you should have 100 dollars. The slope is going to be -45 since you are withdrawing 45 each week so the value is going to be decreasing by 45 every week. If you put that together you get y=-45x+100

Regarding conditional probabilities, the keyword is always given, as a previous event is considered to have happened.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

The previous event having happened is represented by keyword given.

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E. y = -3x

I can give you an explanation in the comments if you'd like

Step-by-step explanation:

x = total area of land

x - 1/6 × x - 5/9 × x = 48.5 | multiply both sides by 6

6x - x - 30/9 × x = 291

5x - 30/9 × x = 291 | multitude both sides by 9

45x - 30x = 2,619

15x = 2,619

x = 174.6 acres

pineapples were planted on 174.6 × 1/6 = 29.1 acres.

durians were planted on 174.6 × 5/9 = 97 acres.

Answer:

n=1

Step-by-step explanation:

-n+4=8n-5

9=9n

n=1

hope that helps

We can use sine ratio in given right angled triangle.

The sine of ∠Q is represented by ratio 48/73.

Given data:

∠R=90°,

QP = 73,

PR = 48,

RQ = 55

We know that;

The sine of a given angle in a right angle triangle is the ratio of perpendicular and hypotenuse seen from the viewpoint of that angle.

Since, against ∠Q lies the side PR, thus, PR is perpendicular. The side PQ is hypotenuse.

Thus, we have:

sin Q = PR/PQ

        = 48/73

Thus, the sine of ∠Q is represented by ratio,

48/73.

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The better option will be at DiscountsRUs 40% off on any purchase.

The amount of money which is reduced on any product below its actual selling price is called the discount.

here we have two offers from the two stores Dominic had a coupon for 15 off his purchase at Save4You. At DiscountsRUs, there was a sale of 40% off on any purchase.

For a Dominic, the discount is fixed for any purchase that is if you purchase a $50 product or a $1000 product you will be getting only a $15 discount.

Now for the second store, the discount is given as 40% so if you purchase $50 your discount will be $20. If you purchase $1000 so 40% discount will be $400.

Therefore better option will be at DiscountsRUs 40% off on any purchase.

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Answer:

30 square feet

Step-by-step explanation:

The area of a trapezoid is equal to (a+b)/2 * h
In this case, the value of a is 5, b is 10, and h is 4. You can substitute those numbers into the formula and get the answer of 30.

Answer:

8

Step-by-step explanation:

Due to lines r & s being parallel to each other, we can apply the rule of alternate interior angles to solve for y in this problem.

Applying this, we'll be obtaining the equation that of:

[tex]116=15y-4[/tex]

We now simply solve for y.

[tex]120=15y\\y=8[/tex]

Therefore, y is equal to 8.

This can be checked by plugging it into the equation:

[tex]15(8)-4[/tex]

[tex]120-4[/tex]

[tex]116[/tex]

And look at that, we got 116 for our answer, exactly the same as the other angle.

Any questions feel free to ask :)

Answer:

Step-by-step explanation:

Answer:

[tex]\sqrt{1}[/tex]

Step-by-step explanation:

We know that a rational number cannot have roots. All of the answer choices cannot be simplified except for [tex]\sqrt{1}[/tex], which can become 1. Therefore, our answer is [tex]\sqrt{1}[/tex].

Answer:

43.96ft

Step-by-step explanation:

In the hint, you are given the equation [tex]C = 2\pi r[/tex].

Here, [tex]C[/tex] is the circumference, [tex]r[/tex] is the radius, and [tex]\pi[/tex] is a constant (a value that doesn't change). In this question, you are told to assume the value of [tex]\pi[/tex] is 3.14.

You are told the radius is 7, therefore, [tex]r[/tex] = 7.

Now we have these values, let's substitute them into the equation:

[tex]C = 2 * 3.14 *7[/tex]

For clarification, the stars mean multiplication.

So, the product of those values will give us our circumference, [tex]C[/tex].

In this case, you get an answer of 43.96ft.

Answer:

1 answer

The area of triangle with vertices A(0, 9), B(0, 4) and C( - 5, - 9) is

Answer:

shown below

Step-by-step explanation:

4 x 2 = 8

1 x 2 = 2

a⁸b²

(a⁵b²)(a²b⁶)

a⁷a⁵b⁶b²a²b⁸

a¹⁴b¹⁶

8 - 14 = -6

2 - 16 = -14

a^-6 b^-14

next one

25^3x-21

/

25^2x+14

1^x-35

Answer:

The answer is 3

Step-by-step explanation:

You can see that it recurs faster than usual for a tan curve so 1 is eliminated and it cant be 2 or 4 because it isnt recurring equally.