Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that costs \$2.75$2.75dollar sign, 2, point, 75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \$11.50$11.50dollar sign, 11, point, 50.

Let SSS represent the number of boxes of sugar Alonso buys.

1) Which inequality describes this scenario?

2) After getting the eggs, how many boxes of sugar can Alonso afford?

Answer:

x=5.5, -5.5

you can use a calculator too

Answer:

The bottom most option

Step-by-step explanation:

Lets divide 3 2/5 and 3 1/6

3 2/5 = 17/5 and 3 1/6 = 19/6

17/5/(19/6) = 17/5  x 6/19 = 102/95 = 1 7/95 or the last option.

Pls mark as brainliest for no real reason. Cheers

The experimental probability is what you actually rolled

24/60 = 2/5 = 40%

The theoretical probability is what we expect to happen

=number of even numbers / total number of numbers

3/6 = 1/2 = 50%

To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.

Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.

Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.

(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.

Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.

Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.

(3) Show that HK=G.

To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.

Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.

Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.

(4) Show that G is a cyclic group.

Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.

Therefore, G is not a cyclic group.

Learn more about cyclic group here -: brainly.com/question/30697028

#SPJ11

To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.

Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.

Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.

(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.

Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.

Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.

(3) Show that HK=G.

To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.

Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.

Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.

(4) Show that G is a cyclic group.

Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.

Therefore, G is not a cyclic group.

Learn more about cyclic group here -: brainly.com/question/30697028

#SPJ11

Answer:

37

Step-by-step explanation:

239-17=222

222/6=37

37

Asymptotes are lines that a curve approaches but does not intersect. A curve may have vertical, horizontal, or slant asymptotes or none at all. Asymptotes are critical features of the curve since they are used to help graph the function.

We will use the following steps to find asymptotes of the function h(x) = 4 + (5/x):

Vertical Asymptotes:Vertical asymptotes occur when the denominator is equal to zero. So for the function

h(x) = 4 + (5/x), the denominator x cannot be equal to 0.

Therefore x = 0 is the equation of the vertical asymptote.Horizontal Asymptotes:

Horizontal asymptotes occur when the value of y approaches a constant as x becomes extremely large.

For the function h(x) = 4 + (5/x), we need to take the limit as x approaches infinity and as x approaches negative infinity respectively.

(i) As x approaches infinity,y = 4 + 0= 4(ii) As x approaches negative infinity,y = 4 + 0= 4.

Therefore, the equation of the horizontal asymptote is y = 4.

Finally, the vertical asymptote equation is x = 0, and the horizontal asymptote equation is y = 4 for the function h(x) = 4 + (5/x).

To know more about lines visit:-

https://brainly.com/question/2696693

#SPJ11

Answer:

A

Step-by-step explanation:

Expression A: (x²)^(-3)= x^(-6)

Expression B: x^(-2)(x³)= x¹

Expression C: x²/x^(-3)= x^2+3

= x^5

#so answer is A

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

Know more about   function  here:

https://brainly.com/question/11624077

#SPJ8

Answer:

$16.50

Step-by-step explanation:

550 X 3% = 16.50

Answer:

72.5

Step-by-step explanation:

Use a proportion.

1000/10 = 7250/x

1000x = 10 × 7250

x = 72.5

According to the average, it will take you almost 6 hours to do the climb, therefore it will be possible.

Since Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation, and he has set a limit that they won't climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place, to determine if it will be possible to climb a 950-foot rock formation within Jeremy's time constraint, the following calculation must be performed, through cross multiplication, to obtain the average rise time:

Therefore, according to the average, it will take you almost 6 hours to do the climb, therefore it will be possible.

Learn more in https://brainly.com/question/24057012

Answer:

.....

Step-by-step explanation:

Answer:

25x-10y-30

Step-by-step explanation:

5(5x - 2y - 6)=(5*5x)(-5*2y)(-5*6)=25x-10y-30

The number of cups of trail mix, x that Shoshana will make for the week as required is; x ≥ 2½.

As evident from the task content; Shoshana wants to make enough to bring ½ cup to school for Monday - Friday.

Hence, the number of days is 5 in which case ½ cups is used for each day.

On this note, the minimum number of cups she needs to prepare is; 5 × ½ = 2½.

On this note, the required inequality is; x ≥ 2½.

Read more on inequalities;

https://brainly.com/question/25275758

#SPJ1

Answer:

can you state what point I is?

Answer:

yes, they both simplify to 1/2

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

Reason:

HCF = highest common factor

8 = 4*2

12 = 4*3

Both have 4 in common, and this is the largest such factor.

You can use factor trees as an alternative method.

Answer:

The term 27p represents the total cost in dollars of pants

The term 13(p+4) represents the total cost in dollars of shirts

The expression 27p+13(p+4) represents the overall cost in dollars of the shirts and pants Christ buys

Step-by-step explanation:

Disclaimer: if the owner can include the options, I can give a better answer.

We know each pair of pants is $27. Since each pair of pants costs $27, we can say the total cost in dollars of pants is equal to 27*P. For each pair of pants Chris buys, he buys 4 shirts. P+4 is the total number of shirts Chris will buy. The price of these shirts in dollars is $13. So we can assume the total cost in dollars of shirts will be 13(P+4). The total expression is the total amount in dollars Chris spends.

 The vector equation is (x,y,z) = x = -4t + 6

y = 2t + 6

z = 12t + 2

To find the vector equation and the parametric equations of the line through (6,6,2) that is perpendicular to the given lines, we can use the cross product of the direction vectors of the two lines as the direction vector of the new line.

First, we find the direction vectors of the two given lines:

Line 1: r1(t) = (2-2t, 5+6t, 3-2t), direction vector d1 = (-2, 6, -2)

Line 2: r2(t) = (-2, 5+t, 3-t), direction vector d2 = (0, 1, -1)

Next, we take the cross product of d1 and d2 to find a vector that is perpendicular to both lines:

d1 x d2 = (-4, 2, 12)

This vector is parallel to the new line we want to find, so we can use it as the direction vector of the line. To get the vector equation, we can use the point-slope form of the equation of a line:

(x,y,z) = (6,6,2) + t(-4,2,12)

This simplifies to:

x = -4t + 6

y = 2t + 6

z = 12t + 2

These are the parametric equations of the line.

to learn more about  vector equation click here:

brainly.com/question/31041205

#SPJ11

We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.

The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.

`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`

As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `

lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`

Since the limit of the ratio test is less than one, the given series converges.

The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).

To learn more about ratio test visit:

brainly.com/question/31856271

#SPJ11

Match the Data Visualisation terms as follows:

1. Numpy: Working with arrays and matrices.

2. Bar chart: Representing categorical data with rectangular bars.

3. Pip: Package installer for Python.

4. S: Statistical library for Python.

The following are the meanings of the given terms:

To know more about Data Visualisation, visit:

https://brainly.com/question/30156043

#SPJ11

Answer:

y ≈ 15.9 cm

Step-by-step explanation:

using the tangent ratio in the right triangle

tan53° = \(\frac{opposite}{adjacent}\) = \(\frac{y}{12}\) ( multiply both sides by 12 )

12 × tan53° = x , that is

x ≈ 15.9 (to 1 decimal place )

Answer:

$108

Step-by-step explanation:

3X9= 27square foot. Then you multiply 27 by 4, which equals $108

Answer:

-1, 3, 7

Step-by-step explanation:

this is adding 4 every time

hopes this helps please mark brainliest

Answer: -1, 3, 7

Explanation: The pattern in this sequence, is that you add 4 for every new number in the sequence. So -5+4 is -1. Then the next one would be -1+4 is 3. And then finally, the next one would be 3+4, which is 7.

Answer:

Step-by-step explanation:

Tony needs to simplify the fraction:

Answer:

An arithmetic sequence is a sequence such that the difference between two consecutive terms is a constant, and we can call it d.

Then the general recursive relation is:

Aₙ = Aₙ₋₁ + d.

And the sum of the first N terms of this sequence is given by:

S(N) = (N/2)*(2*A₁ + (N - 1)*d)

Where A₁ is the first term of the sequence.

In this case, we have:

A₁ = -4910

Aₙ = Aₙ₋₁ + 8

Then we have: d = 8

(it actually says:

ai = -4910

ai = Ai-1 +8

But that has no actual meaning, so I assumed that the first one was actually the first term of the sequence)

The sum of the first 575 terms of this sequence is given by:

S(575) = (575/2)*(2*(-4910) + (575 - 1)*8) = -1,503,050

Answer:

(6,-4)

Step-by-step explanation:

when you have (x,y) and you want to rotate it 90 degrees, you would switch the x and the y and then make the x negative. So (4,6) would switch to (6,4) and then the 4 would become negative.

Given:

\(\begin{aligned}&x^2+y^2=16 \\&z=x y\end{aligned}\)

Express 16 as \(4^{2}\): \(x^2+y^2=16\)

\(x^2+y^2=4^2\\x^2+y^2=4^2 \times 1\)

Trignometry,

\(\cos ^2(t)+\sin ^2(t)=1\)

Now, substitute \(\cos ^2(t)+\sin ^2(t)\) for 1:

\(\begin{aligned}&x^2+y^2=4^2 \times 1 \\&x^2+y^2=4^2 \times\left[\cos ^2(t)+\sin ^2(t)\right]\end{aligned}\\x^2+y^2=4^2 \times \cos ^2(t)+4^2 \times \sin ^2(t)\)

Law of indicates:
\(\begin{aligned}&x^2+y^2=[4 \times \cos (t)]^2+[4 \times \sin (t)]^2 \\&x^2+y^2=[4 \cos (t)]^2+[4 \sin (t)]^2\end{aligned}\\x^2=[4 \cos (t)]^2 \text { and } y^2=[4 \sin (t)]^2\)

Taking positive square roots as follows:

\(x=4 \cos (t), y=4 \sin (t)\)

Recall that, z = xy.

Now, we have:

\(\begin{aligned}&z=4 \cos (t) \times 4 \sin (t) \\&z=16 \cos (t) \cdot \sin (t)\end{aligned}\)

Now, substitute the values:
\(r(t)=x_t i+y_t j+z_t k\)

So, the vector r(t) is: \(r(t)=(4 \cos (t)) i+(4 \sin (t)) i+(16 \cos (t) \cdot \sin (t)) i\)

Therefore, the vector function r(t) is written as: \(r(t)=x_t i+y_t j+z_t k\)

Know more about vector functions here:

https://brainly.com/question/14895420

#SPJ4

Answer:

Egghead

Step-by-step explanation:

In linear regression, we are trying to forecast the dependent variable based on the independent variable.

Option C is the correct answer.

We have,

In linear regression, the dependent variable is the outcome variable or the response variable that we want to predict or explain, while the independent variable is the predictor variable or explanatory variable that helps us in predicting the dependent variable.

The beta parameter and y-intercept are coefficients of the linear regression equation that help in determining the relationship between the dependent and independent variables.

Thus,

In linear regression, we are trying to forecast the dependent variable based on the independent variable.

Learn more about regressions here:

https://brainly.com/question/28178214

#SPJ1