Julie's Snow Cone Shack sells at least 107 snow cones every Saturday. Which of the following inequalities represents the number of snow cones Julie's Snow Cone Shack sold last Saturday? A. x < 107 B. x < 107 C. x > 107 D. x > 107

Answer: x=-3

Step-by-step explanation:

Answer:

I believe x=3

Step-by-step explanation:

0.7x- 1.4 = -3.5

+1.4. +1.4

0.7x = 2.1

divide both sides by 0.7 x= 3

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{vertex}{\stackrel{h}{-6}~~,~~\stackrel{k}{4}}\qquad \implies f(x)=a[x-(-6)]^2+4\implies \underline{f(x)=a(x+6)^2+4} \\\\[-0.35em] ~\dotfill\)

\(f(x-2)=a[(x-2)+6]^2+4\implies \underline{f(x-2)=a(x+4)^2+4} \\\\\\ f(x-2)-2\implies [a(x+4)^2+4]-2\implies \underline{a(x+4)^2+2=g(x)} \\\\\\ a[x-(\stackrel{h}{-4})]^2\stackrel{k}{+2}=g(x)\qquad \stackrel{vertex}{-4~~,~~2}\)

Answer:

\(x \le 3\)

\(x \ge 0\)

Step-by-step explanation:

The functions, missing from the question are:

\(f(x) = \sqrt{3 - x\)

\(f(x) = \sqrt{3 x\)

Required

Determine the domain

To get the domain, means we want to get the possible values of x.

(a)

\(f(x) = \sqrt{3 - x\)

Equate 3 - x to 0

\(3 - x = 0\)

Solve for x

\(-x = -3\)

\(x = 3\)

From the calculated value of x above;

When x exceeds 3; f(x) = undefined

So: the domain is:

\(x \le 3\)

(b)

\(f(x) = \sqrt{3x\)

Equate 3x to 0

\(3x = 0\)

Solve for x

\(x = 0\)

From the calculated value of x above;

When x falls below 0; f(x) = undefined

So: the domain is:

\(x \ge 0\)

Answer:

3. 8 feet

Step-by-step explanation:

To find the horizontal distance (x) in feet, we can use the following steps:

Step 1: Determine the vertical height that the box has been lifted.

The difference between the two points is:

9 ft - 3 ft = 6 ft.

Therefore, the box has been lifted 6 feet.

Step 2: Use the slope of the ramp to find the horizontal distance (x).

The slope of the ramp is given as 3/4. This means that for every 3 feet the ramp rises vertically, it moves 4 feet horizontally. We can set up a proportion to solve for x:

3/4 = 6/x

We can cross-multiply to get:

3x = 24

Dividing both sides by 3 gives us:

x = 8

Therefore, the horizontal distance (x) is 8 feet.

Answer:

The answer is option B.

Step-by-step explanation:

The prime number is 2

Since 1 + 1 = 2

And 1 is an odd number

Hope this helps you

Answer: Now we can see that our fraction is 64/100, which means that 16/25 as a percentage is 64%.

Answer:

39

Step-by-step explanation:

3(5+5-3)

15+15+9

30+9

39

Answer:

your answer would be 21 hope i helped:)

Step-by-step explanation:

The area of the pieces of the larger Pie in comparison to those of the smaller by will be 16 times bigger.

Among the two pies let us say that the diameter of the smaller Pie is d and the diameter of the bigger Pie is D.

It is given to us that 4d = D.

As we know that the Pie are assumed to be circular in shape. Hence,

The area of the smaller Pie can be given by,

A' =π(d/2)²

The area of the bigger Pie can be given by,

A = π(D/2)²

Solving further,

A = πD²/4

Putting D = 4d,

A = π(4d)²/4

A = π16d²/4

Putting πd²/4 = A',

We get,

A = 16A'

So, here we can control that the area of the larger Pie is 16 times of the area of the smaller Pie.

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Answer:

25.97cm

Step-by-step explanation:

BD=12/(sin35)= 20.92cm

using sine rule

DC/sin102 = BD/sin52

DC/sin102 = 20.92cm/sin52

CD = (20.92/sin52)× sin102 = 25.97cm

Answer:

PLANE SPEED --

While flying against the wind - 675 km/h

While flying along with the wind - 750 km/h

WIND SPEED --

Speed of the wind - EXPLANATORY LOOK AT ABOVE DATA

Step-by-step explanation:

If you need the explanation, just comment yes :)

It's a bit long, so I'm not sure if you just wanted the answer or the whole step-by-step explanation.

Answer:

Step-by-step explanation:

um

its still 2:6:7?

please elaborate I don't get the question

Answer:

its 2:1

Step-by-step explanation:

The balloon artist will charge Mrs. Abara $55 as an additional supply fee since there are more than 10 children at the party, and the party duration is irrelevant to the fee calculation.

1. Given that there will be 16 children at the party, which is more than 10, the balloon artist will charge an additional supply fee.

2. The additional supply fee is $55, as stated in the question.

3. The duration of the party, which is 4.5 hours, is not mentioned as a factor affecting the fee calculation.

4. Therefore, regardless of the party's duration, the balloon artist will charge Mrs. Abara $55 as the additional supply fee due to the number of children exceeding 10.

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You never gave any. I will explain what they are though.

A set is a collection of things, usually numbers. We can list each element (or "member") of a set inside curly brackets like this:

Here is a list of common symbols used in the set theory

Symbol Meaning Example

{ } Set: a collection of elements {1, 2, 3, 4}

A ∪ B Union: in A or B (or both) C ∪ D = {1, 2, 3, 4, 5}

A ∩ B Intersection: in both A and B C ∩ D = {3, 4}

A ⊆ B Subset: every element of A is in B. {3, 4, 5} ⊆ D

A ⊂ B Proper Subset: every element of A is in B,

but B has more elements. {3, 5} ⊂ D

A ⊄ B Not a Subset: A is not a subset of B {1, 6} ⊄ C

A ⊇ B Superset: A has same elements as B, or more {1, 2, 3} ⊇ {1, 2, 3}

A ⊃ B Proper Superset: A has B's elements and more {1, 2, 3, 4} ⊃ {1, 2, 3}

A ⊅ B Not a Superset: A is not a superset of B {1, 2, 6} ⊅ {1, 9}

Ac Complement: elements not in A Dc = {1, 2, 6, 7}

When set universal = {1, 2, 3, 4, 5, 6, 7}

A − B Difference: in A but not in B {1, 2, 3, 4} − {3, 4} = {1, 2}

a ∈ A Element of: a is in A 3 ∈ {1, 2, 3, 4}

b ∉ A Not element of: b is not in A 6 ∉ {1, 2, 3, 4}

Ø Empty set = {} {1, 2} ∩ {3, 4} = Ø

set universal Universal Set: set of all possible values

(in the area of interest)  

P(A) Power Set: all subsets of A P({1, 2}) = { {}, {1}, {2}, {1, 2} }

A = B Equality: both sets have the same members {3, 4, 5} = {5, 3, 4}

A×B Cartesian Product

(set of ordered pairs from A and B) {1, 2} × {3, 4}

= {(1, 3), (1, 4), (2, 3), (2, 4)}

|A| Cardinality: the number of elements of set A |{3, 4}| = 2

| Such that { n | n > 0 } = {1, 2, 3,...}

: Such that { n : n > 0 } = {1, 2, 3,...}

∀ For All ∀x>1, x2>x

For all x greater than 1

x-squared is greater than x

∃ There Exists ∃ x | x2>x

There exists x such that

x-squared is greater than x

∴ Therefore a=b ∴ b=a

Natural Numbers Natural Numbers {1, 2, 3,...} or {0, 1, 2, 3,...}

Integers Integers {..., −3, −2, −1, 0, 1, 2, 3, ...}

Rational Numbers Rational Numbers  

Algebraic Numbers Algebraic Numbers  

Real Numbers Real Numbers  

Imaginary Numbers Imaginary Numbers 3i

Complex Numbers Complex Numbers 2 + 5i

Answer:

Step-by-step explanation:

Error 1) It should be divided by 5.

x - 5 = 0

x = 5

Error 2) -3   15   0    -1     5

coefficient of x² is 0 and it is not included

Answer:I think it is B

Step-by-step explanation:

Answer:

He added 3.5 and 5 instead of multiplying them.

Step-by-step explanation:

Answer:

its going by 2s so 2 would be multiplied by 2 which would be 4 so you multiply the numbers by 2 so 4 times 2 equals 8 keep doing that for the rest

Step-by-step explanation:

Answer:

If y=x that means that x and y should be the same

Step-by-step explanation:

For example, if you look at the table you will see that there is a 2. Fill the 2 in the equation. Since the 2 is in the x column, it should be 2=y. This tells us that for the y column you can add a 2. So, the point is (2,2) When you continue doing that for the rest of the numbers, you may notice a pattern. The pattern is that both x and y are the same.

Answer:

-170

Step-by-step explanation:

First, you would substitute 2 and 4 for a and b. 4 times 2 + 3(4 - 62) - 2 times 2 = ?

Then, do 4 times 2 (8), 3(4-62)=3(-58)

8 + -174 - 4 = -170

Answer:

-2

Step-by-step explanation:

slope is rise over run

-2/1

= -2

Answer:

-2

Step-by-step explanation:

Slope is rise over run  -2/1

Answer:

(a) -9 and 4

(b) 5 and 4

(c) -6 and 6

(d) 19 and -1

integers r numbers like 1, 2, 3, -3, -1, etc. basically they cannot have decimals or fractions or anything weird, they r whole numbers that can be negative or positive.

Answer:$24

Step-by-step explanation: Since Tommy bought 12 cans for $6, we would need to know what to multiply for 12 to equal 48. If done as a division problem, 48 ÷ 12 = 4. Multiply 6 x 4 to get 24 as your answer.

Answer:

x equals 24.839 (already squared)

Step-by-step explanation:

Pythagorean theorem

a^2 + b^2 = c^2

19^2 + 16^2 = 24.839^2

361 + 256 = 617

then square root of 617,

24.839

Hope this helps, and if you could make me brainiest that would be super helpful <3

a) The amount you will repay is approximately $12,000.

b) The annual interest rate charged by the loan company is approximately 18.2715%.

To calculate the amount you will repay and the annual interest rate charged by the loan company, we can follow these steps:

Step 1: Calculate the number of $500 increments for the loan amount:

Number of $500 increments = loan amount / $500

= $1,693 / $500

≈ 3.386

Since we can't have a fraction of an increment, we round up to 4.

Step 2: Calculate the daily payment:

Daily payment = 25 © * Number of $500 increments

= 25 © * 4

= $100

Step 3: Calculate the total repayment amount:

Total repayment amount = Daily payment * number of days

= $100 * 120

= $12,000

Step 4: Calculate the annual interest rate:

Annual interest rate = (Total repayment amount - Loan amount) / Loan amount * (360 / Number of days)

= ($12,000 - $1,693) / $1,693 * (360 / 120)

Now, let's perform the calculations:

Amount you repay ≈ $12,000

Annual interest rate ≈ (($12,000 - $1,693) / $1,693) * (360 / 120)

Calculating the annual interest rate:

Annual interest rate ≈ (($10,307) / $1,693) * 3

Rounding to four decimal places:

Annual interest rate ≈ (6.0905) * 3

≈ 18.2715

Therefore,

a) The amount you will repay is approximately $12,000.

b) The annual interest rate charged by the loan company is approximately 18.2715%.

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Answer:

2x+105=-3x+130

This is the same as \((x-2)^2\)

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

Explanation:

The middle coefficient is -4 and the last term is 4.

We need to find factors of the last term that add to the middle coefficient.

Here is a list of all ways to multiply two integers to get 4, and the sum of each pair of factors.

The second row of that list above is what we're after. So

-2 + (-2) = -4

-2 * (-2) = 4

Meaning the factorization is (x-2)(x-2). Note the "-2" values in each factor

We can use the FOIL rule or distribution to go from (x-2)(x-2) back to x^2-4x+4 to confirm the answer.

Answer:

9.2

Step-by-step explanation:

The time it takes for Mrs. Jardine to bake more cookies compared to Mrs. How is of 6 hours.

The linear functions in this problem are defined in the slope-intercept format, as follows:

y = mx + b.

In which:

Miss Hoy can bake two dozen cookies every four hours. Mrs. Jardine can bake one dozen cookies every one hour, then the slopes are given as follows:

Assuming Mrs. Hoy gets a 36 cookie head start, the functions are given as follows:

Mrs. Jardine will have baked more cookies when:

12x > 6x + 36

6x > 36

x > 36/6

x > 6 hours.

Hence after 6 hours.

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The unknown values are ∠ACE = 64.5°, ∠PRQ = 90°, ∠AOC = 40° and  ∠a = 50° along with question no. 2, ∠B = 105°, all solved using angle sum property.

When three line segments intersect at three different angles, the result is a figure known as an Angle Sum Triangle. Triangles always contain a total of 180 degrees of angles.

Any triangle's angles add up to 180 degrees, according to the Angle Sum Triangle Theorem. By applying fundamental geometry concepts, this theorem can be demonstrated. Obtuse, right, or acute angles can all be found in triangles.

Triangle-related issues can be resolved using the Angle Sum Triangle theorem, a crucial geometry theorem. It can be used to gauge a triangle's angle sizes or to establish whether it is acute, right, or obtuse.

A)

∠ABC =∠BCA

∠BAC + ∠ABC + ∠BCA = 180

55 + 2∠ABC =

2∠ABC = 180 - 55

2∠ABC = 125

∠ABC =∠BCA = 75.5

100 + 2∠ECD =  180

∠ECD = 40

∠ACE = 180 - 75.5+40

∠ACE = 64.5°

B) ∠PRQ = 90°  any triangles one side crosses through centre then the opposite angle is 90°.

C) ∠AOC = 40° when inside a circle, the angle on centre is double the angle touching the circumference

D) ∠a = 360 - 90 + (180-60) + (180-80)

∠a = 50°

2. The value of angle be can be calculated using angle sum property of triangle i.e.

(x+5) + 3x + x = 180

5x + 5 = 180

5x = 175

x = 175/5

x = 35

∠B = 3(35)

∠B = 105°

Thus, the unknown values are ∠ACE = 64.5°, ∠PRQ = 90°, ∠AOC = 40° and  ∠a = 50° along with question no. 2, ∠B = 105°.

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(a) Partial derivatives: ∇F = exsin(y)ln(z)i^ + excos(y)ln(z)j^ + exsin(y)/zk^

(b) Divergence: ∇⋅v = y + 2z + 3x.

(a) To find ∇F for F(x, y, z) = exsin(y)ln(z), we need to find the partial derivatives of F with respect to x, y, and z.

∂F/∂x = exsin(y)ln(z)

∂F/∂y = excos(y)ln(z)

∂F/∂z = exsin(y)/z

Therefore, ∇F = (∂F/∂x)i^ + (∂F/∂y)j^ + (∂F/∂z)k^

= exsin(y)ln(z)i^ + excos(y)ln(z)j^ + exsin(y)/zk^

(b) To find ∇⋅v for v(x, y, z) = xyi^ + 2yzj^ + 3xzk^, we need to find the divergence of v.

∇⋅v = (∂/∂x)(xy) + (∂/∂y)(2yz) + (∂/∂z)(3xz)

= y + 2z + 3x

Therefore, ∇⋅v = y + 2z + 3x.

(a) In part (a), we use the definition of the gradient operator to find ∇F. The gradient of a scalar function is a vector that points in the direction of the steepest increase of the function. By finding the partial derivatives of F with respect to each variable, we obtain the components of the gradient vector.

(b) In part (b), we use the definition of the divergence operator to find ∇⋅v. The divergence of a vector field measures the rate at which the field spreads out or converges at a given point. By finding the partial derivatives of each component of v with respect to their respective variables and summing them, we obtain the divergence of v.

The gradient and divergence operators are important concepts in vector calculus that have applications in various fields such as physics and engineering. They help us analyze and understand the behavior of vector fields and scalar functions in three-dimensional space.

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