i need help with question 28;

Answer:

2. 8³ - 14 × 6² - 2

4. |-6|

5. 7² - 3.1 - 19 × 2.1

Step-by-step explanation:

To find the expressions, find the solution of the given equation, then solve for each answer choice to see if the soultions match. If they do, then the expressions are equivalent.

2² - 3³ + 29

4 - 27 + 29 = 6

6 is the value were looking for.

1. (78 ÷ 3) - [tex]2^{4}[/tex]

(78 ÷ 3) - 16

26 - 16

= 10

not equal

2. 8³ - 14 × 6² - 2

512 - 14 × 36 - 2

512 - 504 - 2

= 6

equal

3. -|-6|

= -6

not equal

4. |-6|

= 6

equal

5. 7² - 3.1 - 19 · 2.1

49 - 3.1 - 19 · 2.1

49 - 3.1 - 39.9

45.9 - 39.9

= 6

equal

Hence, choices 2, 4, and 5 have a value of 2² - 3³ + 29.

hope this helps!

Answer:

Neptune is 4.495 billion far from the sun and mars is 227.9 million km

the anwer is 4.2671 i guess

Answer:

100.53cm2 if I'm not mistaken. or 32π cm2

Answer: 48 yards

Step-by-step explanation:

Answer: 48 yd

Step-by-step explanation:

when trying to find one leg of a triangle given the other two, a^2 +b^2 = c^2 is applicable. A representing the first leg, B representing the second, and C representing the hypotenouse (a and b are interchangeable). So,

formula: a^2 + b^2 = c^2

insert given: 20^2 + b^2 = 52^2

exponents: 400 + b^2 = 2704

subtract: b^2 = 2704 - 400

simplify: b^2 = 2304

square root of both sides: b = [tex]\sqrt{2304}[/tex]

answer: b = 48

The vertex form of the provided equation  y = (x 3)2 (x 4)2 is expressed as  (x+3.5)²+0.5.

Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

y=a(x-h)^2+k

Here, (h, k) is the vertex point.

The given equation is

[tex]y = (x +3)^2 +(x+ 4)^2\\y=x^2+9+6x+x^2+16+8x\\y=2x^2+14x+25[/tex]

To convert this equation, into the vertex form, follow the following steps,

[tex]y=2(x^2+7x+12.5)\\y=2((x+3.5)^2-12.25+12.5)\\y=(x+3.5)^2+0.5[/tex]

Thus, the vertex form of the provided equation  y = (x 3)2 (x 4)2 is expressed as  (x+3.5)²+0.5.

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The answers to your questions are as we have them below:

a.   s ( 2 burgers + 1soda )

b.  s ( $16.00 + $2.50) ≤ $100

c. The maximum number of sodas that can be purchased is 5.40 sodas

An algebraic expression is an expression containing integer constants, variables and algebraic operations

Detailed solution of the above is given below:

One Burger costs $8.00

One soda costs $2.50

Combined = s (2burgers + 1soda)

where s is the number of persons ordering.

a.   s ( 2 * $8.00 + $2.50 )

     s ( $16.00 + $2.50) = s($18.50) assuming that the hotdogs will be the total amount to be spent

b. if the cant spend more than a $100 gift card, the inequality will be

 s ( $16.00 + $2.50) ≤ $100

 s($18.50)   ≤ $100

 s ≤ [tex]\frac{100}{18.50}[/tex] = 5.40

Therefore the number of burgers and soda they can buy is

5.40 (2burgers + 1soda) = 10.80 burgers and 5.40sodas

c.  s ( $16.00 + $2.50) ≤ $100

 s($18.50)   ≤ $100

 s ≤ [tex]\frac{100}{18.50}[/tex] = 5.40

The maximum number of sodas that can be purchased is 5.40 sodas

In conclusion, the algebraic expression for the orders you and your friends will make combined is:  s ( 2 burgers + 1soda )

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C aka  y = -4.6 and y = 4.6

Step-by-step explanation:

i just took the unit review test on edg. :)

Answer:

The Answer is c have a good day...

Step-by-step explanation:

Answer:

x=110lbs and y=120lbs

Step-by-step explanation:

[tex]Solution,\\\\x+y=230lbs\\\\[/tex]

When the weight of x is 10lbs less than y,

Then,

[tex]x=y-10lbs[/tex]

Now we have,

[tex]\hookrightarrow x+y=230lbs\\\\\hookrightarrow (y-10lbs)+y=230lbs\\\\\hookrightarrow 2y-10lbs=230lbs\\\\\hookrightarrow 2y=230lbs+10lbs\\\\\hookrightarrow 2y=240lbs\\\\\hookrightarrow y=240lbs/2\\\\\hookrightarrow y=120lbs[/tex]

Again,

As x=y-10lbs

Then,

[tex]\hookrightarrow x=y-10lbs\\\\\hookrightarrow x=120lbs-10lbs\\\\\hookrightarrow x=110lbs[/tex]

From factoring, the volume of a rectangular prism can be written as:

3x * (2x+1) * (3x-2).

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization.  One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

The question gives: 18x³-3x²-6x. You can see that, initially, 3x is a common term. Therefore, you can write: 3x * (6x²-x-6) . Nonetheless, the question also asks 3 linear expressions, here only you have one (3x).

Thus, you should factor the expression (6x²-x-6) into two linear expressions: (2x+1)* ( 3x-2).

Thus, the volume of a rectangular prism can be written as:

3x * (2x+1) * (3x-2)

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Answer:

For 36 hours, that would be 792 quarts. The unit rate is 528 quarts per day.

Step-by-step explanation:

If you divide 36 by 10, you get 3.6, and then you multiply that with 220. That gets you 792 quarts for 36 hours. To find out the rate per day, do 24 divided by 10, and then multiply that by 220.

E E E E E E E E E E E E E E EE E E E E E E E E E E E E E E E E E E

Answer:

See below ~

Step-by-step explanation:

(a) Mean of the data

(b) New mean after each data point increased by 10

(c) New mean after each data point doubled [from (b)]

Answer:

a) 1.8

b) 11.8

c) 23.6

mean: sum of numbers/total numbers

⇒ mean: (2.4+1.6+3.2+0.3+1.6)/5 ⇒ 9/5 ⇒  1.8

If all the data's are increased by 10

{12.4, 11.6, 13.2, 10.3, 11.5}

Then mean ⇒ (12.4+11.6+13.2+10.3+11.5)/5 ⇒ 11.8

if the new data doubled, the mean will be double

11.8 * 2 = 23.6

Answer:

the mode is 3

Step-by-step explanation:

mode is the number that accurse the most

Answer:

mode is 3

Step-by-step explanation:

Answer above is correct.

Answer:

1) h=(64-43)

-----------

7

Make sure to add brackets

2)Answer is $3 per hour

Step-by-step explanation:

For 2)

----------

7

-----

7

Hope it helps

BYE

Answer:

If n > 0, then n= 1

If n < 0, then n=n

If you could word this a bit differently, I might be able to help more, but this is what I'm getting from it. The way you worded it is a bit confusing.

Answer:

2

x=40

Step-by-step explanation:

A triangle has 180 degrees and considering that triangle ABC is similar to DEF that means they have the same angle (A=D,B=E,C=F)

180=104 +36+x

180=140+x

180-140=x

40=×

Answer:

82 degrees

Step-by-step explanation:

180-98 = 82

They are supplementary and make 180 in total so x is 82

Answer:

[tex]y = \frac{-2}{3}[/tex]

Step-by-step explanation:

[tex]f(x)=-1[/tex], means thsat you replace all the x with -1. Then after you replace it you simplify the fraction.

[tex]f(x)=-1[/tex]

Equation: [tex]f(x) = \frac{x-1}{3}[/tex]

Steps:

1. [tex]f(-1)= \frac{(-1)-1}{3}[/tex]

2. [tex]f(-1)= \frac{-2}{3}[/tex]

Answer:

[tex]f(-1)= \frac{-2}{3}[/tex]

Answer:y=-2/3

Step-by-step explanation:

Answer:

6.75[tex]\pi[/tex] or 21.2

Step-by-step explanation:

Find the area of the small circle using [tex]\pi r^{2}[/tex]

Plug in 1.5 for r to get 2.25[tex]\pi[/tex]

Find the area of the big circle using [tex]\pi r^{2}[/tex]

Plug in 3 for r to get 9[tex]\pi[/tex]

Subtract the area of the small circle from the big circle to get 6.75[tex]\pi[/tex] or 21.2

Answer:

[tex]\displaystyle \lim_{x \to 0} \frac{\sin^3 x + 3\cos x - \cot^2 x}{\tan^3 x + 7 \sin x + 3 \sec^2 x} - e^{3x} = \boxed{- \infty}[/tex]

General Formulas and Concepts:
Calculus

Limits

Right-Side Limit:
[tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]

Left-Side Limit:
[tex]\displaystyle \lim_{x \to c^-} f(x)[/tex]

Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]

Discontinuities

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle \lim_{x \to 0} \frac{\sin^3 x + 3\cos x - \cot^2 x}{\tan^3 x + 7 \sin x + 3 \sec^2 x} - e^{3x}[/tex]

Step 2: Find Limit

Let's start out by directly substituting x = 0 into our limit.

We can see that the cotangent of 0 is undefined. Since we do not have an indeterminate form, we cannot use L'Hopital's Rule. Let's look at the function graphically (refer to the attachment).

Approaching the left limit, we can see that the graph heads towards negative infinity.

Approaching the right limit, we can see that the graph also heads towards negative infinity.

∴ we can say that the limit as x approaches 0 is equal to negative infinity.

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

It's plain to see that [tex]e^{3x}\to1[/tex] as [tex]x\to0[/tex], so I'll focus on the trigonometric expression.

Multiply uniformly through the expression by [tex]\sin^2(x)\cos^3(x)[/tex] :

[tex]\dfrac{\sin^3(x) + 3\cos(x) - \cot^2(x)}{\tan^3(x) + 7\sin(x) + 3\sec^2(x)}[/tex]

[tex]= \dfrac{\cos^3(x) \left(\sin^5(x) + 3\cos(x)\sin^2(x) - \cos^2(x)\right)}{\sin^2(x) \left(\sin^3(x) + 7\cos^3(x)\sin(x) + 3\cos(x)\right)}[/tex]

Now as [tex]x\to0[/tex],

• [tex]\cos^3(x)\to1[/tex]

• [tex]\sin^5(x)+3\cos(x)\sin^2(x)-\cos^2(x)\to-1[/tex]

• [tex]\sin^3(x) + 7\cos^3(x)\sin(x) + 3\cos(x) \to 3[/tex]

but [tex]\sin^2(x)\to0[/tex], so [tex]x = 0[/tex] a non-removable discontinuity. Then from either side of [tex]x = 0[/tex], [tex]\frac1{\sin^2(x)}\to+\infty[/tex], and taking into account the sign from the second point above, the overall limit would be

[tex]\displaystyle \lim_{x\to0} \frac{\sin^3(x) + 3\cos(x) - \cot^2(x)}{\tan^3(x) + 7\sin(x) + 3\sec^2(x)} - e^{3x} = -\infty-1 = \boxed{-\infty}[/tex]

Answer:

B56 or D65 or B65 or D56

Step-by-step explanation:

a. 36, 26letters + 10 numbers

b. 1/2

c. 1/4

The size of the sample space is 8.

The probability that it has a letter that immediately follows an odd number is 1/2.

There is no probability that D is in the code but not in the first position.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The size of the sample space is the number of ways to choose one letter and two numbers, without repetition.

We can choose the letter in 4 ways, the first number in 2 ways, and the second number in 1 way (since we can't repeat a number), giving a total of 4 x 2 x 1 = 8 possible codes.

Let's list all the possible codes: 5A6, 5B6, 5C6, 5D6, 56A, 56B, 56C, 56D

The probability that a code has a letter that immediately follows an odd number:

We need to count the number of codes that have a letter following an odd number.

From the list above, we see that the codes 5B6, 5D6, 56B, and 56D have a letter following an odd number.

Therefore, there are four favorable outcomes out of eight possible outcomes.

So the probability is 4/8 = 1/2.

The Probability that D is in the code but not in the first position:

D can be in the second or third position.

If D is in the second position, there are 3 ways to choose the first digit (since we can't use D, and we can't repeat the first digit), and 1 way to choose the third digit, giving a total of 3 * 1 = 3 codes.

If D is in the third position, there are 3 ways to choose the first digit and 2 ways to choose the second digit (since we can't repeat any digit), giving a total of 3 x 2 = 6 codes.

So there are 3 + 6 = 9 favorable outcomes out of 8 possible outcomes (since there are 8 possible codes in total).

Therefore, the probability is 9/8, which is greater than 1.

This is not possible, so the answer is that there is no probability that D is in the code but not in the first position.

Thus,

The size of the sample space is 8.

The probability that it has a letter that immediately follows an odd number is 1/2.

There is no probability that D is in the code but not in the first position.

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Answer: a lower credit score

Step-by-step explanation:

Answer:

Step-by-step explanation:

lower crdit score

Answer:

$142,857.14

Step-by-step explanation:

As per the question,

Solving for Y

Answer:

49%

Step-by-step explanation:

465 + 485 = 950

465/950 = .489

.489 * 100 = 48.9, round up for 49 to get 49%, since it's only focused on people who tested positive, you would only have to compare the people in that column

Answer: b

Step-by-step explanation:

Answer:

X cord: 1

Y cord: -2

Step-by-step explanation:

X cord is left to right and is one point right.

Y Cord is up and down and is 2 down. the - implies negative because the point is down.

(If you need help with this or other problems Here is a good website to help, https://www.splashlearn.com/math-vocabulary/geometry/coordinate-plane)

Answer:

More

Step-by-step explanation:

Any whole number that can be represented in base 10 can also be represented in base 2, although it may take more digits.