An economy-size bag of tortilla chips is 220% the size of a regular bag of chips. If the economy size bag contains 44 servings of chips, how many servings does a regular bag contain?

Answer:

a , hiro should have divided both sides of the equation by 2

The interpretation of the beam on the wall is that when the function is undefined, the light is not shining completely on the wall and  and the function rate of changes are 55.236, 68.276, 110.473 and 289.221

The given parameter is the graph of the beam

From the graph, we can see that the beam does not shine on all parts of the wall.

It shines on some part and doesn't on other parts

This means that the function is undefined

Hence, the interpretation of the beam on the wall is that when the function is undefined, the light is not shining completely on the wall

To do this, we use the following computations:

[d(0.1) - d(0)]/[0.1 - 0] = [5.5236 - 0]/[0.1 - 0] = 55.236

[d(0.2) - d(0.1)]/[0.2 - 0.1] = [12.3512 - 5.5236]/[0.2 - 0.1] = 68.276

[d(0.3) - d(0.2)]/[0.3 - 0.2] = [23.3985 - 12.3512]/[0.3 - 0.2] = 110.473

[d(0.4) - d(0.3)]/[0.4 - 0.3] = [52.3206 - 23.3985]/[0.4 - 0.3] = 289.221

Hence, the function rate of changes are 55.236, 68.276, 110.473 and 289.221

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Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer:

3/2

Step-by-step explanation:

Simplify the following:

((4 + 1/5)×5)/14

((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:

((4 + 1/5)×5)/14

Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:

(((5×4)/5 + 1/5) 5)/14

5×4 = 20:

((20/5 + 1/5)×5)/14

20/5 + 1/5 = (20 + 1)/5:

(((20 + 1)/5)×5)/14

20 + 1 = 21:

(21/5×5)/14

21/5×5 = (21×5)/5:

((21×5)/5)/14

((21×5)/5)/14 = (21×5)/(5×14):

(21×5)/(5×14)

(21×5)/(5×14) = 5/5×21/14 = 21/14:

21/14

The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:

Answer:  3/2

Answer:

the correct answer is A. 25 sandwiches.

Step-by-step explanation:

Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.

Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.

So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.

Therefore, the correct answer is A. 25 sandwiches.

Answer: 25

Step-by-step explanation:

We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.

2+2...=50

Answer: About or Around 5.85

Step-by-step explanation:

All you do is times 2.34 times 2.5 and you get 5.85

I couldn't work this out on here because I don't know how to get it on the way I want it.

The matching expressions are:

\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)

i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.

ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.

iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.

To understand the matching expressions, let's break down each one:

i) 3a x 4:

This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).

ii) a^2 x a:

This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).

iii) 6 × 1/2 a^2:

This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).

Therefore, the matching expressions are:

i) 3a x 4 = C (12a)

ii) a^2 x a = A (a^3)

iii) 6 × 1/2 a^2 = D (3a^2)

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Assuming a 6% annual interest rate compounded monthly, you would need to put aside $8,991.84 per month to have $1,500,000 for retirement in 30 years.

Using the calculation for the future value of an annuity, we can get the monthly deposit amount as follows:

FV = PMT × [((1 + r/n)(nt) - 1) / (r/n)].

Where

The formula can be changed to: PMT = FV / [((1 + r/n)(nt) - 1) / (r/n)] if we want to solve for PMT.

We obtain the following formula by substituting the supplied values: PMT = 1,500,000 / [((1 + 0.06/12)(12*30) - 1) / (0.06/12)]

PMT = 1,500,000 / [((1.005)^360 - 1) / 0.005]

PMT = 1,500,000 / 166.791

PMT = $8,991.84

Therefore, assuming a 6% annual interest rate compounded monthly, you would need to put aside $8,991.84 per month to have $1,500,000 for retirement in 30 years.

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Answer:

90 for both

Step-by-step explanation:

90 this is because all right angle equal 90 degrees and, triangles all equal 180 in total so if u add all the angle together it equal 180. I hope this helps.

Answer:

a = 3.46 , c = 9.9

Step-by-step explanation:

These are the following identities:

\(sinx=\frac{perpendicular}{hypotenuse} \\\\cosx=\frac{base}{hypotenuse}\\\\tanx=\frac{perpendicular}{base}\\\)

Easier way to learn this is

Some people have curly brown hair till painted black

Sinx   = per/hyp      cosx  = base/hyp  tanx = per/base

So if use the angle 60° we can see that the opposite side(perpendicular) to the angle is 6 and the base side is a so we need the identity which uses the opposite side(perpendicular side) and the base side and not the hypotenuse so that is tan x so,

\(tan\ 60=\frac{6}{a} \\\\1.732=\frac{6}{a}\\\\1.732a=6\\a=\frac{6}{1.732}\\\\a=3.46\\\)

So a = 3.46

Now to calculate c:

If we take the angle 45° and see the opposite side(perpendicular side) is 7 and the hypotenuse is c so need the identity which uses the opposite side(perpendicular side) and the hypotenuse and not the base, which is sin x so,

\(sin 45=\frac{7}{c}\\\\0.707=\frac{7}{c}\\\\0.707c=7\\\\c=\frac{7}{0.707}\\\\c =9.9\\\)

so c = 9.9

The length of the second trial will be equal to 2(⁵/₈) miles.

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 two bicycle trails were developed in a new housing development. One trail is 3¹/₂ miles long. The other trail is 3/4 as long.

The length of the second trial will be calculated as,

Length =  3/4 x ( 3¹/₂ )

Length = 2(⁵/₈)

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Answer:

1. 7.3

2. 33.3

3. 21.3

4. 31.9

5. 25.6

6. 11.0

7. 42°

8. 64°

9. 13°

10. 51°

Step-by-step explanation:

make sure if you're using a math calculator that it is in degree mode.

SIN, COS, OR TAN. SOH CAH TOA. Sin is Opposite/hypotenus.

Cos is Adjacent(next to it)/hypotenus.

Tan is Opposite/Adjacent.

~~

PROBLEM 1:

So we have 63°, 16 as hypotenus, and x as one of the legs.

1. Figure out whether it is Sin, Cos, or Tan. (It's adj and hyp. of the angle degree (63° listed so it's cos.)

2. Once you set it up, it is Cos 63°= x/16 then flip it around. which makes it 16 COS 63= X.

3. Input it into your calculator as 16cos(63, then it will give you.. 7.263847996

4. Don't forget to round to the nearest tenth, which gives you

x = 7.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 2:

Given: 39°, 27 is opposite of the °, and adj is x. So this is Tan.

1. Set it up, Tan 39° = 27/x can't solve this way so fix it.

2. rewritten as X = 27/tan39

3. round ur answer.

x = 33.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 3:

Given: 49°, adj is 14, hyp is x. So this is Cos.

1. Set up according to CAH, Cos 49=(14/x).

We can't solve it this way since the X is on the bottom. So we have to fix it!

2. Turns into X Cos 49 = 14, which then turns into X= 14/cos49.

3. Put it in your calculator as 14 DIVIDED BY cos 49. ( Put image example)

4. Round.

x= 21.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 4:

Given: 15°, 33 hyp, adj x. Which is Cos.

1. Cos 15= x/33 and rewrite.

2. Input as 33 cos(15 into calculator = 31.875...

3. Round to tenth.

x = 31.9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 5:

Given: 52°, 20 adj of °, and x opp of °. Will use TAN.

1. Tan 52° = x/20

2. 20 Tan(52 into calculator

3. Round

x = 25.6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 6:

Given: 27°, opp of ° is 5, hyp is x. Will use Sin.

1. Write out as I have the last few times, Sin 27 = 5/x rewrite cause x can't be at the bottom.

2. Input into calculator as: 5/sin 27 which equals 11.01...

3. Round.

x = 11.0

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 7:

Given: x°, 6 as hyp, 4 opp. now we have to solve this different since we don't know the degree. Now when we input into the calculator you will press 2nd, then sin/cos/tan so it will be negative this is depending on which one ur solving for.

We will be using SIN, x is still a °.

1. Sin X = 4/6 Rewrite.

2. X= Sin^-1 (4/6)

Make sure ur sin is negative in calculator when doing this.

3. It SHOULD give you 41.81, round.

x = 42°

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 8:

Given: x°, 29 opp, 14 adj. TAN.

1. Tan x°= 29/14 or..

2. X = Tan^-1(29/14) solve..

3. gives u 64.23.... round.

x = 64°

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 9:

Given: x°, hyp 54, opp 12. SIN

1. Sin x°=(12/54)

2. X= Sin^-1(12/54) solve. (dont put x= into calculator.)

3. Don't Forget to round, answer unrounded: 12.839..

x = 13°

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 10:

Given: x°, adj 25, hyp 40. COS

1. Cos x°=25/40 rewrite.

2. X= Cos^-1(25/40) Solve.

3. Round.

X= 51°

Answer:

44% increase

Step-by-step explanation:

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Step-by-step explanation:

the question of your answer is d

Answer:

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

C or B's so 30% + 40% = 70% so:

70/100 multiplied by 40 because 40 students

7/10 times 40 = 28

Answer:

y¹⁰

Step-by-step explanation:

Let’s say y=2.

This means 2 to the power of 4 is 16.

Then, we do 16 times 2, because it says y4 times 6.

16 times 2 is 32.

Now we find what 2 to the power of 5 is.

That is also 32.

Finally, we do 32 times 32 which is 1,024.

As you can see, we used 2, aka y 10 times. This is because y4 has 4 y’s, and y5 has  5 y’s. Then, there is one extra y in the middle.

Therefore, 4 + 5 + 1 is equal to 10.
This can be written as y10.

hope this helped!

The factored form is (5x+2)(x-4).

What is factorization?

A number, matrix, or polynomial may be broken up or decomposed into factors that, when multiplied together, produce the original number, matrix, etc. This process is known as factorization or factoring.

Here, we have

Given:  5 x squared minus 18 x minus 8

we have to find the factored form.

= 5x² - 18x - 8

= 5x² - 20x + 2x - 8

= 5x(x-4) + 2(x-4)

= (5x+2)(x-4)

Hence, the factored form is (5x+2)(x-4).

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Answer:

they are congruent

Step-by-step explanation:

pls love me

Answer:

Your math problem isnt showing up

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$8.75\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &\frac{1}{4} \end{cases} \\\\\\ 8.75 = (1000)(\frac{r}{100})(\frac{1}{4})\implies 8.75=\cfrac{10r}{4} \\\\\\ 8.75=\cfrac{5r}{2}\implies 17.5=5r\implies \cfrac{17.5}{5}=r\implies \stackrel{\%}{3.5}=r\)

Answer:

7

Step-by-step explanation:

|24| - |-17|

The absolute value of 24 is 24 so,

24 - |- 17|

and the absolute value of -17 is 17 so all you have to solve for is

24 - 17

which is 7

hope this helps :)

\(\left| \log_7(x^8)\cfrac{}{} \right|~~ - ~~\left( ~~ \log_{49}(x^2) ~~ \right)^2 = 7 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left| \log_7(x^8)\cfrac{}{} \right|\implies \pm\log_7(x^8)\implies \pm 8\log_7(x) \\\\[-0.35em] ~\dotfill\\\\ \left( ~~ \log_{49}(x^2) ~~ \right)^2\implies \left( ~~ \cfrac{\log_7(x^2)}{\log_7(49)} ~~ \right)^2\implies \left( ~~ \cfrac{\log_7(x^2)}{\log_7(7^2)} ~~ \right)^2\)

\(\left( ~~ \cfrac{\log_7(x^2)}{2} ~~ \right)^2\implies \left( ~~ \frac{1}{2}\log_7(x^2) ~~ \right)^2\\\\\\ \left( ~~ \log_7(x^{2\cdot \frac{1}{2}}) ~~ \right)^2 \implies \left( ~~ \log_7(x) ~~ \right)^2 \\\\[-0.35em] ~\dotfill\\\\ \left| \log_7(x^8)\cfrac{}{} \right|~~ - ~~\left( ~~ \log_{49}(x^2) ~~ \right)^2=7 \implies \pm 8\log_7(x)~~ - ~~\left( ~~ \log_7(x) ~~ \right)^2=7 \\\\[-0.35em] ~\dotfill\\\\ \textit{now let's make }\hspace{5em}\log_7(x)=Z \\\\[-0.35em] ~\dotfill\)

\(\mp 8Z-Z^2=7\implies 0=Z^2\pm 8Z+7\implies 0= \begin{cases} Z^2+ 8Z+7\\ Z^2 - 8Z+7 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 0=Z^2+8Z+7\implies 0=(Z+7)(Z+1)\implies 0=[\log_7(x)+7][\log_7(x)+1] \\\\\\ 0=Z^2-8Z+7\implies 0=(Z-7)(Z-1)\implies 0=[\log_7(x)-7][\log_7(x)-1]\)

now, let's process for each case to get its roots

\(0=\log_7(x)+7\implies -7=\log_7(x)\implies 7^{-7}=7^{\log_7(x)}\implies \boxed{7^{-7}=x} \\\\\\ 0=\log_7(x)+1\implies -1=\log_7(x)\implies 7^{-1}=7^{\log_7(x)}\implies \boxed{7^{-1}=x} \\\\\\ 0=\log_7(x)-7\implies 7=\log_7(x)\implies 7^{7}=7^{\log_7(x)}\implies \boxed{7^{7}=x} \\\\\\ 0=\log_7(x)+1\implies 1=\log_7(x)\implies 7^{1}=7^{\log_7(x)}\implies \boxed{7=x}\)

9514 1404 393

Answer:

  3 feet per second

Step-by-step explanation:

If the time is multiplied by 2, the inverse relationship tells you the speed is multiplied by 1/2.

  (1/2)(6 ft/s) = 3 ft/s

The swimmer's average speed is 3 ft/s.

Answer:

3

2

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

I do not understand the question. But if my interpretation is correct, then:

If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.

Answer:

675 devided bye 9 = 75

Step-by-step explanation:

Answer: 75 words per minute

Step-by-step explanation:

We can set this problem up similar to a ratio
675:9
Knowing that this is for 9 minutes, dividing by 9 will give you the amount per one minute
675/9   9/9
75:1 or 75 words per minute