Store a sells six bananas for $1.92 Story b sells five bananas for $1.75. Which store has a lower unit rate per banana

Answer:

( − 1 , ∞ )

Step-by-step explanation:

( − 1 , ∞ )

\(\text {Hey! Let's Solve this Problem!}\)

\(\text {\underline {The First Step is to Simplify the Equation}}\)

\(\text {Before: -5(x-10)=-35}\)

\(\text {After: -5x+50=-35}\)

\(\text {\underline {The Next Step is to Subtract 50}}\)

\(\text {-5x+50-50=-35-50}\)

\(\text {Your New Problem Is: -5x=-85}\)

\(\text {\underline {The Final Step is to Divide -5}}\)

\(\text {-5x/-5=-85/-5}\)

\(\text {Your Answer Would Be:}\)

\(\fbox {x=17}\)

\(\text {Best of Luck!}\)

Answer:

17

Step-by-step explanation:

-5 (x - 10) = -35

-5x + 50 = -35

-5x = -35 - 50

-5x = -85

x = 17

Hopefully this answer helps you :)

The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.

First, the rate of change

= (483 - 210) / (23 - 10)

= 273 / 13

= 21

So, the equation for the relationship between the number of bracelets made and the number of beads used.

(y - 210) = 21 (x-  10)

y - 210 = 21x - 210

y = 21x

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The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2

From the question, we have the following parameters that can be used in our computation:

-3/4 + 2/5x = 7/20x -1/2

The first step is to collect the like terms

So, we have

2/5x - 7/20x = 3/4 - 1/2

This represents an equation of the possible way to begin solving for x

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Answer:

13

Step-by-step explanation:

use distance formula \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(7-2)^2+(7-(-5))^2} =13\)

The probability of getting at least 6 heads is3/256 or 0.0117

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.

Given that,

A fair coin is tossed = 8 time.

We have to find the probability of getting at least 6 heads.

Since, the probability of getting head, when one coin is tossed = 1/2

And the probability of getting tale = 1/2  

The probability of getting head at least  6 times when coin is tossed 8 times can be given as,

The head can come 6 times, then probability = \((1/2)\x^{6} (1/2)\x^{2}\) =  (1/2)⁸

The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸

The head can come 8 times, then probability = (1/2)⁸

The probability of getting head at least 6 times

= (1/2)⁸ + (1/2)⁸ +  (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117

The probability of getting at least 6 heads is3/256 or 0.0117

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Answer:

NO POSSIBLE TRIANGLES

Step-by-step explanation:

Answer:

no possible triangles

Step-by-step explanation:

The included angle of one triangle are congruent to the corresponding parts of the other triangle. Since the sides AD and BE are congruent, as well as the included angle DAB and CBA, then △ADE≅△BCE.

By the Side-Angle-Side (SAS) congruence theorem, if two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle, then the triangles are congruent. In this proof, the given statements provide that the sides AE and EB are congruent, as well as the angles DAB and CBA. This means that the two corresponding sides of the triangles △ADE and △BCE are congruent, and the included angles of the triangles are also congruent. Therefore, according to the SAS congruence theorem, the two triangles are congruent, and thus △ADE≅△BCE.

The SAS congruence theorem applies to any two triangles, regardless of the size or shape of the triangles. The congruence of the sides and angles is sufficient to prove that two triangles are congruent. This theorem can be used to prove other theorems, such as the Triangle Sum Theorem, which states that the sum of the angles in a triangle is equal to 180 degrees. To prove this theorem, one could use the SAS congruence theorem to show that two right triangles are congruent, and then use the congruent angles to prove that the sum of the angles in a triangle is 180 degrees.

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Answer:

\(x=-9\frac{1}{3}\)

Step-by-step explanation:

\(\frac{1}{2}(x+10)=\frac{1}{4}(x-8)\)

\(\frac{1}{2}x+5=\frac{1}{4}x-2\)

\(\frac{1}{2}x-\frac{1}{4}x=-5-2\)

\(\frac{3}{4}x=-7\)

\(x=-\frac{28}{3}=-9\frac{1}{3}\)

Answer:

b

Step-by-step explanation:

7 left     4 right

7 left   =   4 +3 right =7

Answer:b

Step-by-step explanation:

7 left     4 right

7 left   =   4 +3 right =7    

Answer:

  12x²y² +2xy -2

Step-by-step explanation:

The distributive property is used to multiply polynomials.

  (3xy -1)(4xy +2) . . . . . . . . . . . . . given

  = (3xy)(4xy +2) -1(4xy +2) . . . . multiply the 2nd by the terms of the 1st

  = (12x²y² +6xy) +(-4xy -2) . . . . here are those products

  = 12x²y² +2xy -2 . . . . . . . . . collect terms (6xy-4xy = 2xy)

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator is useful for this.

The region of interest is below the parabola and above the line.

Answer:

The lines help u see where they go

Step-by-step explanation:

Answer: (maybe not 100% correct  i d k)

Primary Sorce:

Anne Frank's Diary

Photo of a Migrant Worker

American Indian Treaty

Letter by George Washington

Not Primary Source:

1927 and 1992 Article About Babe Ruth

Movie About the Civil War

History Textbook

Fiction Set in 1780s

Blog About Black Holes

The correct trigonometric substitution for evaluating integral ∫√(x² + 64) dx is option B. x = 8 tan θ.

To evaluate the integral ∫√(x² + 64) dx using trigonometric substitution, use the substitution x = 8 tan θ.

Let's go through the steps to see how this substitution leads us to the solution:

1. Substitute x = 8 tan θ.

This implies dx = 8 sec² θ dθ.

2. Substitute the expression for x and dx in the integral:

∫√(x² + 64) dx becomes ∫√((8 tan θ)² + 64) * 8 sec² θ dθ.

3. Simplify the expression:

∫√(64 tan² θ + 64) * 8 sec² θ dθ = ∫√(64(sec² θ - 1)) * 8 sec² θ dθ.

4. Further simplify:

∫√(64sec² θ - 64) * 8 sec² θ dθ = ∫√(64sec² θ) * 8 sec² θ dθ.

5. Simplify the expression inside the square root:

∫8sec θ * 8 sec² θ dθ = ∫64sec³ θ dθ.

6. Integrate with respect to θ:

∫64sec³ θ dθ = 64∫sec³ θ dθ.

Now, this integral can be evaluated using standard trigonometric integral identities or integration techniques. However, it's worth noting that the original integral did not involve the variable θ, so we would eventually need to convert the result back to x by substituting x = 8 tan θ.

The correct answer is B. x = 8 tan θ.

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Answer:

x= -5, 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

from edg(:

The general form representation of the polynomial which is as described in the task content is; f(x) = 4x³ + 38x² + 24x - 360.

It follows from the task content that the Polynomial in discuss has;

Therefore, the factored form of a polynomial can be written as follows;

P(x) = a (x - p) (x - q) (x - r) where p, q and r are the roots of the polynomial and a is the leading coefficient.

Since the factors of the polynomial f(x) are; (x + 6), (x + 6) and (x - 5/2).

Hence, the polynomial f(x) in discuss can be written as follows;

f(x) = 4 (x + 6) (x + 6) (x - 5/2)

f(x) = (x + 6) (x + 6) (4x - 10)

f(x) = 4x³ + 38x² + 24x - 360

Therefore, the required polynomial in standard form is; f(x) = 4x³ + 38x² + 24x - 360.

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Answer:

B,C,D

Step-by-step explanation:

24ft =288 in A IS FALSE

2 miles = 10560 ft B IS TRUE

1/2 miles = 2640 ft C IS TRUE

0.5 miles = 880 Yds D IS TRUE

0.5 ft = 6 in E IS FALSE

Answer:

55

Step-by-step explanation:

The angle is 1/2 of the arc

The distance of a rock after three seconds will be 144 feet.

A function is an assertion, concept, or principle that establishes an association between two variables.

Let's use the formula for direct variation, which is:

d = kt²

64 = k(2²)

64 = 4k

k = 16

Now we can use this value of k to find the distance when t = 3:

d = 16 × (3²)

d = 16(9)

d = 144

Therefore, the rock will fall 144 feet in 3 seconds.

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The complete question is given below.

The distance, d, that a rock falls when dropped from a cliff varies directly as the square of time, t, the rock is falling. If a rock falls 64 feet in 2 seconds, how far will it fall in 3 seconds?

The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.

Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.

Hence,

∠3 = 180 - 62 = 118 degrees(angles on a straight line)

∠1 ≅ ∠3 (vertically opposite angles)

∠7 ≅ ∠3 (alternate interior angles)

∠5 ≅ ∠7 (vertically opposite angles)

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The outcomes that are contained in the events are

1 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)

From the question, we have the following parameters that can be used in our computation:

X = gray colours

Given that

gray colours = 3 and 10

We have

X = 3 and 10

Not X =1, 2, 4, 5, 6, 7, 8

The probability is then calculated as

P(X) = 2/10 = 1/5

For P(Not X), we have

P(Not X) = 1 - 1/5 = 4/5

In (a), we have

P(Not X) = 1 - 1/5 = 4/5

This means that

P(Not X) = 1 - P(X)

So, the solution is

1 - P(X) = 4/5

Using the above (a) and (b) as a guide, we have the following:

1 - P(X) is the same as P(Not X)

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Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

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The measure of the central angle is 0.75 radians

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The length of an arc with an angle of Ф is given by:

Length of arc = (Ф/360) * (π * diameter)

The diameter is 16 cm and intercepted arc length is 6 cm, hence:

Length of arc = (Ф/360) * (π * diameter)

6 = (Ф/360) * (π * 16)

Ф = 42.97°

Ф = 42.97° * π/180 = 0.75 radian

The measure of the central angle is 0.75 radians

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Answer: 0.12

Step-by-step explanation:

The expected number of accidents is a weighted average of the potential number of accidents and their probabilities:

= (0 * 0.935) + (1 * 0.03) + (2 * 0.02) + (3 * 0.01) + (4 * 0.005)

= 0.12

The Pythagorean inequality is given below.

Statement of Pythagoras theorem:

“In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.

                                        \(AC^{2}=AB^{2} +BC^{2}\)

Let ABC be a triangle with the longest side opposite B

We can also write as follows:

If \(AC^{2} > AB^{2} +BC^{2} \\\), then B is an obtuse angle.

If \(AC^{2} < AB^{2} +BC^{2} \\\), then B is an acute angle.

If \(AC^{2}=AB^{2} +BC^{2}\), then B is a right angle.

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

Step-by-step explanation:

Hello!

Full text:

Listed below are amounts of court income and salaries paid to the town justice. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P value using  α  = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines?

Court Income: 65.0, 402.0, 1567.0, 1132.0, 273.0, 251.0, 112.0, 156.0, 34.0

Justice Salary: 31, 46, 91, 56, 47, 60, 26, 27, 18

a. What are the null and alternative hypotheses?

To test if there is a linear correlation between the court income and the justice salary, you have to use the following hypotheses:

H₀: ρ = 0

H₁: ρ ≠ 0

b. Construct a scatterplot.  See attachment.

c. The linear correlation coefficient r is: _____.

\(r= \frac{sumX_1X_2-\frac{(sumX_1)(sumX_2)}{n} }{\sqrt{[sumX_1^2-\frac{(sumX_1)^2}{n} ][sumX_2^2-\frac{(sumX_2)^2}{n} ]} }\)

n= 9; ∑X₁= 3992; ∑X₁²= 4078308; ∑X₂= 409; ∑X₂²= 2232; ∑X₁X₂= 262123

r= 0.86

d. The P value is: _____.

This test is two-tailed and so is its p-value. I've calculated it using a statistics software:

p-value: 0.0027

e. Based on the results, does it appear that justices might profit by levying larger fines?

Using the p-value approach, the decision rule is:

If the p-value ≤ α, reject the null hypothesis.

If the p-value > α, do not reject the null hypothesis.

The calculated p-value is less than the significance level, then the decision is to reject the null hypothesis.

At a 5% significance level you can conclude that there is a linear correlation between the "court income" and the "Justice salary"

I hope this helps!

Answer:15 grapes eaten per minute

Step-by-step explanation:

in the function on the y side it increases 15 grapes every minutes

A function transfers each element's value from one set to a particular element in another set. 15 grapes consumed each minute, is the right answer. Hence, option A is correct.

A function transfers each element's value from one set to a particular element in another set.

An exact one of each element of Y is assigned to each element of X by a function from a set X to a set Y. The sets X and Y are referred to as the function's domain and codomain, respectively.

Given that the table displays the quantity of grapes consumed over a period of time. Consequently, the function in the table's rate of change can be expressed as,

Rate of Change = (Difference in the number of grapes eaten)/(Difference in the Number of minutes)

= (30-15) grapes / (2-1) minutes

= 15 grapes per minute

Thus, option A is correct.

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