At competing grocery stores, bananas are 80 cents a pound at the first store and 85 cents a pound at the second store. Apples are 3 dollars a pound at the first store and 2.50 dollars a pound at the second store.

Suppose you buy x pounds of bananas and y pounds of apples at each store. You end up spending 10 dollars at the first store and 12 dollars at the second store.

Which system of equations represents the amount of money you spend on bananas and apples at each store?

Answer:

324 kilometres

What I did was do 36x10 which is 360

Then I did 360-36=24 because the question wants 9x36 not 10x36

Answer:

value of 4 in 543007 is 40,000 bc it falls in the 10,000 spot.

In order to use the fundamental theorem of line integrals, you need to find a scalar potential function - that is, a scalar function f(x, y) for which

grad f(x, y) = F(x, y)

This amounts to solving for f such that

∂f/dx = x + 3

∂f/∂y = 6y + 3

Integrating both sides of the first equation with respect to x gives

f = 1/2 x ^2 + 3x + g(y)

Differentiating with respect to y gives

∂f/∂y = dg/dy = 6y + 3

Solving for g gives

g = ∫ (6y + 3) dy = 3y ^2 + 3y + C

and hence

f(x, y) = 1/2 x ^2 + 3x + 3y ^2 + 3y + C

(a) By the fundamental theorem, the integral of F along any path starting at the point P (1, 0) and ending at Q (3, 3) is

∫ F(x, y) • dr = f (3, 3) - f (1, 0) = 99/2 - 7/2 = 46

(b) Now we're talking about a closed path, so the integral is simply 0. We can verify this by checking the integral over the origin-containing paths:

• From the origin to P :

∫ F(x, y) • dr = f (1, 0) - f (0, 0) = 7/2 - 0 = 7/2

• From Q back to the origin:

∫ F(x, y) • dr = f (0, 0) - f (3, 3) = 0 - 99/2 = -99/2

Then the total integral is 7/2 + 46 - 99/2 = 0, as expected.

The minimum sum-of-products expression for the given Boolean function is x₁[x₂'x₃' + x₂'x₄' + x₂x₄] .

To find the minimum sum-of-products expression for the given Boolean function, we can use algebraic manipulation techniques, including Boolean algebra laws and Karnaugh maps.

Let's start with the given expression:

F = x₁x₂'x₃' + x₁x₂x₄ + x₁x₂'x₃x₄'

F = x₁[x₂'x₃' + x₂x₄ + x₂'x₃x₄']

F = x₁[x₂'(x₃' + x₃x₄') + x₂x₄]       ....(1)

As we know that the Boolean rule as:

a + bc = (a + b)(a + c)

a' + a = 1

As per the equation (1),

F = x₁[x₂'{(x₃' + x₃)(x₃'+x₄') + x₂x₄]  

F = x₁[x₂'x₃' + x₂'x₄' + x₂x₄]  

Thus, the minimum sum-of-products expression for the given Boolean function is x₁[x₂'x₃' + x₂'x₄' + x₂x₄] .

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= x² - 4x + 58 - 23 = 0

= x² - 4x + 35 = 0

Sorry but it cann't be solved more futher.

= 16 × 2 + 56 + 2√4

= 32 + 56 + 2√4

= 88 + 2√4

Answer:

B (-4)(3) + (-4)(1/4)

Step-by-step explanation:

We must find the product of -4 and 3 1/4, which is (-4)(3 1/4). We know that 3 1/4 = 3 + 1/4, so we substitute that to the expression we want.

(-4)(3 1/4) = (-4)(3 + 1/4)

Using the distributive property, we distribute the -4 to the 3 and the 1/4 and the expression becomes

(-4)(3 + 1/4) = (-4)(3) + (-4)(1/4)

I hope this helps! :)

Answer:

the minimum is 0 and the maximum is 16.

Step-by-step explanation:

For a function f(x), the maximum is defined as:

f(xₐ)

such that:

f(xₐ) ≥ f(x) for every value of x in the domain.

And the minimum is:

f(xₙ)

Such that:

f(xₙ) ≤ f(x)

for every value of x.

Now, in this case we have the function:

f(x) = (-x + 2)^4 in the range  0 < x < 3

First, let's analyze our function.

We can see that the exponent is even, then:

f(x) = (-x + 2)^4

Can be equal to zero or larger than zero.

Then the minimum will be f(x) = 0

To find this, we need to find the value of x such that:

-x +2 = 0

2 = x

Then the minimum is:

f(2) = (-2 + 2)^4 = 0

For the maximum, we can just play with the other values in the range and see which one gives the larger value of f(x).

Again, because f(x) =  (-x + 2)^4 , the maximum will be at the value of x such that:

|-x + 2| is maximized.

As we have a negative sign multiplying x, the smaller value in the range:

x = 0

is the one that maximizes that:

|-0 + 2| = |2| = 2

Evaluating f(x) in x = 0 we get:

f(0) = (0 + 2)^4 = 16

Then the minimum is 0 and the maximum is 16.

Answer:

5 (cm)

Step-by-step explanation:

1. according to the condition in ΔABC: AC=BC, m∠C=90°. Then m∠B=m∠A=45° and

2. x=AC=AB/√2; ⇔ x=5 (cm).

Answer:

x=5 cm

Step-by-step explanation:

triangle ABC is an isoceles triangle

so BC=AC and angle A=angle B

BC=X and angle A=theta

angle B and angle A both is theta degree because base angles of an isosceles triangle are equal

to find angle A and B

angle A + angle B + angle c=180 degree (sum of interior angles of a triangle)

theta + theta +90=180

2theta=180-90

2theta=90

theta=90/2

theta=45 degree

sin both angle A and angle B are theta their value is 45 degree.

For side x

now using pythagoras theorem

take theta as reference angle

using sin rule

sin 45=opposite/hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex] =x/[tex]5\sqrt{2}[/tex]

[tex]\frac{1}{\sqrt{2} } *5\sqrt{2}[/tex]=x

[tex]\frac{5\sqrt{2} }{\sqrt{2} } }[/tex]=x

5=x

Step-by-step explanation:

l hope it helps mark the brainliest plzz

Answer:

option c is correct

Step-by-step explanation:

(3x^2 + 3)(4 + x^3)

=3x^2(4 + x^3) +3(4 + x^3)

=12x^2 + 3x^5 +12 +3x^3

=3x^5 + 3x^3 + 12x^2 + 12    

Answer:

Percent to decimal conversion table

Percent Decimal

8% 0.08

Answer:

C and D

Step-by-step explanation:

The data is represented in a box plot given. In a box plot, the min, max, median, Q1, and Q3 are displayed.

If you want to measure the center of the data, you can make use of the median.

Also, an appropriate measure of spread to use is the interquartile range.

Interquartile range = Q3 - Q1.

Better measure of center to use is Mean while better measure of spread is interquartile range.

The correct options for measures of center and spread for the data set is option C and D

The measures of center of data include the mean, median and mode.

The measures of spread include range, mean deviation, variance and standard deviation.

The give dat is a box plot where the min, max, median, Q1, and Q3 are shown.

The best measure of the center of the data, is the median.

The appropriate measure of spread is the interquartile range.

In conclusion, the more appropriate measures of center and spread for the data set is median and interquartile range respectively.

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Answer:12 yes 14 no 16 yes

Step-by-step explanation:its hard to explain

just plug the value in

12.

17 + 5 < 13

22 < 13

false

14.

10/2>6

5>6

false, you are correct

16.

-5 =< 0

it just has to be less OR equal

so it's true, it is a solution

Answer:

[tex]p=0.5[/tex]

Step-by-step explanation:

A standard die has six numbers (1 through 6). That means there is a 1/6 probability of rolling any one number. There is a 3/6 probability of rolling one of the selected numbers which simplifies to 1/2 or 0.50

Answer:

56 dollars

Step-by-step explanation:

idfk 56 dollars is the answer tho

Answer:

D

Step-by-step explanation:

it would be d because that's where the 3 is in the y axis

Answer:

A

Step-by-step explanation:

Graph A shows the parabola intersecting the x-axis at 1 and 3. Which are the solutions to the equation when you solve it by factoring, using the quadratic formula, the PQ formula, or completing the square.

Answer:

a) Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .

probability distribution of outcomes

= (3/14*3/14),  (3/14*4/14),  (3/14*4/14),  (3/14*3/14),  (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14),  (4/14 * 3/14 ),  ( 4/14 *4/14 ),  (4/14*3/14),  ( 4/14 *4/14 ),  

(4/14*3/14),   (3/14 *3/14 ), (3/14*3/14),  (3/14 *4/14 ), ( 3/14 * 4/14 )

b)  0.0459

c) ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )

Step-by-step explanation:

Total number of balls = 3 + 4 + 4 + 3 = 14 balls

3 Red balls = 3/14

4 blue balls  = 4/14

4 green balls = 4/14

3 yellow balls = 3/14

a) Determine the sample space and probability distribution of outcomes

since ball is drawn with replacement

Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .

i.e. The sample space has 16 possible combination

probability distribution of outcomes

= (3/14*3/14),  (3/14*4/14),  (3/14*4/14),  (3/14*3/14),  (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14),  (4/14 * 3/14 ),  ( 4/14 *4/14 ),  (4/14*3/14),  ( 4/14 *4/14 ),  

(4/14*3/14),   (3/14 *3/14 ), (3/14*3/14),  (3/14 *4/14 ), ( 3/14 * 4/14 )

b) Determine  P( R and R )

P ( R and R ) = 3/14 * 3/14

                    = 9/196 =  0.0459

C) Determine probability of drawing two different balls

P( R and B ) + P ( R and G ) + P ( R and Y ) + ------ P ( Y and G )

= ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )

Answer:

mEOP is 29°

Step-by-step explanation:

mHOP is 48° and mHOE is 19°, so to get the missing angle you subtract the smaller value from the total to get 29°

- 19-48=29

Answer:

28 minutes

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

so it is 28 minutes

Step-by-step explanation:

Step-by-step explanation:

It's an intercept graph

the answer would be A.) C+15

Answer:

25%

Step-by-step explanation:

We can also show this from the results table below: There are 8 possible outcomes for tossing three coins. Two of these outcomes are either all heads or all tails, Therefore there is a 28=14=0.25=25% chance of getting all heads or all tails.

Answer:

19

Step-by-step explanation:

5 + 4^2 - 6/3

= 5 + 16 - 2

= 21 - 2

= 19

Explanation:

Add up those areas to get the final answer

x^2+9x+2x+18 = x^2+11x+18

note the like terms 9x and 2x combine to 11x

Answer:

27%

Step-by-step explanation:

divide 6 by 22. you get .27 and then you move the decimal point to the right twice

Answer:

27%

Step-by-step explanation:

six divided by twenty two is 0.272, which is 27%

Answer:

I need to know what the radius or diameter is to answer this question

Answer:

8

Step-by-step explanation:

by definition:

[tex]log_an=16\\\\log_a\sqrt{n}=log_a n^{\frac{1}{2}}=\frac{1}{2}log_a n=\frac{1}{2}(16)=8[/tex]

The expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters is A = 33.45

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

The mean of probability distribution is also known as expected value. It is denoted by E ( X ). E(X), or mean μ of a discrete random variable X is calculated by multiplying each value of the random variable by its probability and taking the sum of the values.

E ( X ) = μ = ∑x P ( x )

Given data ,

To find the expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters, we need to calculate the expected count for that cell using the formula:

Expected Count = (row total * column total) / grand total

The row total for cities with more than 250,000 residents is 99, and the column total for names with less than 8 characters is 100. The grand total is 296

Expected Count = (99 * 100) / 296

Expected Count ≈ 33.45

Therefore , the expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters is approximately 26.67

Hence , the distribution is 33.45

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The complete question is attached below :

Judson collected information about the name length and the population of a random sample of 296 American cities. Here are the results:

Judson wants to perform a X2 test of independence between name length and population. What is the expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters?

Answer:

c. 13

Explanation:

f(x) = x² + 4

f(3) = (3)² + 4

= 9 + 4

= 13

Step-by-step explanation:

7 + 2x + 3 = x + 10

2x - x = 10 - 7 - 3

x = 0

What?

I don't think this helps...

Answer:

x = 0.

Step-by-step explanation:

The distance between  the point U and W are x + 10 and 2x + 3 + 7 so we can make the following equation:

x + 10 = 2x + 3 + 7

x + 10 = 2x + 10

Subtract 10 from both sides:

x = 2x

Subtract x from both sides:

0 = x

x = 0