Jessie has some chickens and rabbits. There are 30 heads and 76 legs in all. How many chickens and rabbits does Jessie have?
Describe what you did in attempting to solve this problem.
How do you know the solution is correct?

Answers

Answer 1

Answer:

There are 22 chickens and 8 rabbits

Step-by-step explanation:

1 chicken = 2 legs

1 rabbit = 4 legs

we need to do 2 equations to solve this problem

c + r = 30

c*2 + r*4 = 76

we clear c in the first equation

c + r = 30

c = 30 - r

we replace c with (30 - r) in the second equation

(30 - r) * 2 + r * 4 = 76

60 - 2r + 4r = 76

-2r + 4r = 76 - 60

2r = 16

r = 16/2

r = 8

now we replace r in the first equation

c = 30 - r

c = 30 - 8

c = 22

There are 22 chickens and 8 rabbits

Do  you know that you have the correct solution because you can verify it by multiplying

22 * 2 + 8 * 4 =

44 + 32 = 76


Related Questions

The recycling bin in the shape of a rectangular prism is 15.5 inches long, 8 inches wide and 7 inches high. The recycling bins need to be emptied when it is 80% full. What is the total amount needed, to the nearest cubic inch, before the recycle bin is ready to empty?

Answers

Answer:

694 cubic inches

Step-by-step explanation:

Dimension of prism

Length = 15.5 inches

width =  8 inches

height =  7 inches

Volume of regular prism is given  by area of base * height

area of base  = length * width ( as bin is rectangular)

area of base  = 15.5 * 8 square inches = 124 square inches

Volume of regular prism = area of base * height

      = 124 * 7 cubic inches = 868 cubic inches

_________________________________________________

868 cubic inches is the full capacity of the recycling bin

it is given that recycling bins need to be emptied when it is 80% full

so we need to find the 80% capacity of recycling bin

80% capacity of recycling bin = 80/100 *  full capacity of the recycling bin

                  = 0.8 * 868 cubic inches = 694.4 cubic inches

694.4 cubic inches is the amount needed before the recycle bin is ready to empty .

But question says answer should in nearest cubic inch

hence answer is 694 cubic inches

Kirby ran three-fourths of a half mile and dropped out of the 800 meter race. Her
pace was 12 miles an hour until the point she dropped out of the race. About how
many minutes did she run approximately?

Answers

Answer:

1.88 minutes

Step-by-step explanation:

This question can be solved using speed, distance and time concept along-with use of computing fractions.

Given

Distance ran by Kirby = 3/4 of half mile

                                    = 3/4 of 1/2 mile = 3/4 * 1/2 mile = 3/8 mile.

Speed of Kirby until she dropped out of race = 12 miles/hour

Formula to calculate time = Distance/Time

substituting value of speed of Kirby and distance covered by Kirby

Time = [tex](3/8) / 12 = 3/(8*12) = 1/32 \ hour[/tex]

Since one hour has 60 minutes 1/32 hour = (1/32) * 60 minutes = 1.88 minutes

» A cylinder has a height of 13 millimeters and a radius of 11 millimeters. What is its
volume? Use a 3.14 and round your answer to the nearest hundredth.

Answers

the answer is 4939.22 but i’m not sure what this is so the nearest hundredth lol sorry :(

Answer:

V =4939.22 mm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

where r is the radius and h is the height

V = 3.14 (11)^2 *13

V =4939.22 mm^3

Three points of a function are graphed.
Which statement describes the function through the points?
The function is a direct variation function with a constant
of variation of 1.5.
The function is a direct variation function with a constant
of variation of 1.8.
The function is linear but is not a direct variation
function.
The function is not a linear function,
. (18, 30)
. (14, 24)
• (10, 18)
4
8
12
16 20 24 28 32 36
x

Answers

Answer:

The answer is C.

Step-by-step explanation:

I just took the test on edg and got a 100

The function is linear but is not a direct variation.

What is Direct Variation?

Direct variations are defined as the functions of the form y = kx, where k is a constant.

Here when y increases, x increases and if y decreases, x also decreases.

Given is a function that passes through three points (18, 30), (14, 24) and (10, 18).

If the function is linear, the the slope must be constant.

Slope = Change in y coordinates / Change in x coordinates

Consider (18, 30) and (14, 24).

Slope = (24 - 30) / (14 - 18) = -6 / -4 = 3/2

Consider (14, 24) and (10, 18).

Slope = (18 - 24) / (10 - 14) = 3/2

Since slope is constant, function is linear.

Let y = mx + c be the equation of the function, where m is the slope and c is the y intercept.

If the function is direct variation, c = 0.

Substitute (10, 18) in to the equation.

18 = (3/2 × 10) + c

⇒ c = 3

It is not direct variation.

Hence the function is linear but is not a direct variation.

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A trapezoid on a square. The square has side lengths of 12 feet. The trapezoid has a base of 6 feet, height of 3 feet, and top side length of 4 feet. Tariq is a swimming-pool designer. He is known for his irregular-shaped swimming pools. The bottom of this pool will be covered in tile. The area of the pool that is covered in tile is ft2.

Answers

Answer:

159

Step-by-step explanation:

Answer:

159

Step-by-step explanation:

Select the correct answer,
Why are online payment services necessary?
OAIndividuals who sell items online cannot afford
OB. It is too risky to use credit cards online, and on
C. Government regulations require all online tran
OD
Online payment services are the only payment

Answers

Answer:

B. It is too risky to use credit cards online, and online payment services have better security because of the increasing number of hackers that may steal money from your bank account.

Step-by-step explanation:

What is the rate of change of the following function?

Answers

Answer:

You did not provide any function...therefore, i cant give you a proper answer.

Step-by-step explanation:

Find 6% of $5.65 and round the product to the nearest cent.

Answers

Answer:

$0.34

Step-by-step explanation:

a = p*w

a = .06*5.65

a = 0.339

rounded = 0.34

hope this helps :)

Help? Question are above. 15 points

Answers

Answer:

1).

7, rational

2).

2.36 (repeating), irrational

3).

[tex]Simplify:\frac{734}{1000} / \frac{2}{2} = \frac{367}{500}[/tex]

4).

[tex]Simplify: \frac{2588}{1000} /\frac{4}{4} =\frac{647}{250} \\If.you.want.to.convert.it.to.a.mixed.fraction: 2\frac{147}{250}[/tex]

There are 20 flowers. I have 10 how many are there

Answers

Answer: 10

Step-by-step explanation: because you subtract it by 10

20-10= 10

Simplify 64 x 3 y 3 z 2 24 x y 4 z 4

Answers

Answer:

88x+4y+7z+6

Step-by-step explanation:

depends on how u write it take a pic next time please

As a salesperson, you are paid $52 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

Answers

Answer:

s≥16

Step-by-step explanation:

3s+52≥100

3s≥100-52

3s≥48

s≥48/3

s≥16

The solution to the inequality is x ≥ 16.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Let x be the number of sales you need to make.

The total pay you receive will be $52 + $3x.

Since you want your pay to be at least $100, we can write the inequality:

52 + 3x ≥ 100

Solving for x, we get:

3x ≥ 48

x ≥ 16

Therefore,

The solution to the inequality is x ≥ 16.

This means that you need to make at least 16 sales to earn at least $100 this week.

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What is the length of the radius of a circle whose area is 100 pie(3.14)?

Answers

100=3.14*R^2
R^2=100/3.14
R^2=31.84
R=(sqrt31.84)
R=5.64

I. Red help pls bros

Answers

Answer:

the 3rd one

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because it has too many on one side

Suppose that the function g is defined for all real numbers as follows

Answers

Answer:

-9

0

3

Step-by-step explanation:

-(-2-1)^2

-(1-1)^2

x>2 , so g(x) = 3

if a pack of 24 pencils cost $2.35 how much does a single pencil cost

Answers

Answer:

Just divide dollar amount by unit count

2.35/24 =$ ______ per pencil

so each= =0.097917

so 97 cents

The amount that a single pencil cost is $0.10 per pencil.

Using this formula

Cost per pencil=Cost of pencil per pack/Number of pencil per pack

Where:

Cost of pencil per pack=$2.35

Number of pencil  per pack=24 pencil

Let plug in the formula

Cost per pencil=$2.35/24

Cost per pencil=$0.098

Cost per pencil=$0.10 (Approximately)

Inconclusion the amount that a single pencil cost is $0.10 per pencil.

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Halla el lafo de un cuadrado tal que la suma de su área más su perímetro es numéricamente igual a 252

Answers

LISTEN TO DRIPREPORT'S SKECHERS

Using the traditional formula, a 95% CI for p1 − p2 is to be constructed based on equal sample sizes from the two populations. For what value n (= m) will the resulting interval have width at most 0.4 irrespective of the results of the sampling? (Round your answer up to the nearest whole number.)

Answers

Answer:

The minimum sample size required is 49.

Step-by-step explanation:

The (1 - α)% confidence interval for the difference between two proportions is:

[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\ \sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}}[/tex]

*The sample size is considered equal in this case.

The width of the interval is at most 0.40.

Then the margin of error of the interval will be:

MOE = Width ÷ 2 = 0.20

The formula of the margin of error is:

[tex]MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}}[/tex]

Assume that the two sample proportion values are 0.50.

The critical value of z for 95% confidence level is:

[tex]z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96[/tex]

Compute the sample size required as follows:

[tex]MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}}[/tex]

      [tex]n=[\frac{z_{\alpha/2}\times \sqrt{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}}{MOE}]^{2}[/tex]

          [tex]=[\frac{1.96\times \sqrt{0.50(1-0.50)+0.50(1-0.50)}}{0.20}]^{2}\\\\=48.02\\\\\approx 49[/tex]

Thus, the minimum sample size required is 49.

We analyzed the relationship between the budgets (in millions of dollars) and the U.S. Box Office Sales (in millions of dollars) for 75 popular movies. The scatterplot showed a weak positive association with a linear form. Here are the StatCrunch linear regression results:
Simple linear regression results:
Dependent Variable: US_Box_Office
Independent Variable: Budget US_Box_Office
IMDb_Rating Rotten Tomatoes = -57.599288 + 17.919209 IMDb_Rating Sample size: 75
R(correlation coefficient) = 0.79786226
R-sq = 0.63658418
Estimate of error standard deviation: 12.916488
Which number describes the percentage of variability in Rotten Tomato ratings that is explained by the changes in IMDb ratings as described by the regression line? This is the slope of the regression line. It describes the predicted change in Rotten Tomato ratings when IMDb ratings increase by one.
a. 0.80
b. 0.64
c. 12.9
d. 17.9

Answers

Answer:

According to the information from the exercise, we can deduce that the regression technique is the method of analysis for IMDb ratings and Rotten tomato ratings, so we have a dependent variable such as rotten tomatoes and the independent one that is IMDb-rating. We can say that in this analysis that the variation of the dependent variable is explained by the coefficient of determination, we observe that the coefficient of determination is 0.63 if we convert it into a percentage we obtain that it is equal to 63.65% and we approach 64%, with which which we affirm that it is equal to 64, so this value is the influence that the IMDb ratings generated on the ratings of rotten tomatoes

The percentage of variability in Rotten Tomato ratings explained by the changes in IMDb ratings is represented by the R-squared value of 0.64. Therefore, the correct answer is B. 0.64.

To determine the percentage of variability in Rotten Tomatoes ratings that is explained by the changes in IMDb ratings as described by the regression line, we need to look at the [tex]\( R^2 \)[/tex] value (coefficient of determination).

In the results provided:

[tex]\[R^2 = 0.63658418\][/tex]

This [tex]\( R^2 \)[/tex] value represents the proportion of variability in the dependent variable (Rotten Tomatoes ratings) that can be explained by the independent variable (IMDb ratings) in the regression model.

So, the percentage of variability in Rotten Tomato ratings that is explained by changes in IMDb ratings is:

[tex]\[R^2 = 0.63658418 = 0.64 \text{ or} 64%)\][/tex]

Therefore, the correct answer is:

b. 0.64

If you bought a camera in good condition from a friend, would you pay the same as you would if you bought the same item from a stranger? A researcher at Cornell University want to know how friendship might affect simple sales such as this. She randomly divided 15 subjects into two groups and gave each group the same description of a used camera. One group was told to imagine buying from a friend whom they expected to see again. The other group was told to imagine buying from a stranger. The researcher recorded the price each person was willing to pay for the camera.

Answers

Final answer:

The degree of imperfect information varies depending on the transaction type. Buying apples or dinner locally involves relatively low imperfect information because of the immediate availability of visual or experiential information, whereas buying a used laptop or ordering flowers online involves higher imperfect information due to the lack of direct product interaction.

Explanation:

Imperfect Information in Economic Transactions

The concept of imperfect information refers to a situation where one or both parties in a transaction do not have all the necessary information to make an entirely informed decision. When assessing the degree of imperfect information in various scenarios, it is essential to consider the transparency and availability of information about the product or service, as well as the trustworthiness of the source providing it.

Buying apples at a roadside stand: The degree of imperfect information is expected to be relatively low as the buyer can visually inspect the apples and assess their quality on the spot.

Buying dinner at the neighborhood restaurant: Imperfect information is also expected to be relatively low since, through prior experience or reputation, one usually has an idea about the quality of food and service.

Buying a used laptop computer at a garage sale: Imperfect information would be relatively high as the buyer may not have the expertise to thoroughly check the laptop's condition or know its history.

Ordering flowers over the internet for a friend in a different city: The degree of imperfect information could be high since the buyer cannot see the actual flowers being sent and must rely on the vendor's description and reputation.

These situations highlight how different market transactions harbor varying levels of imperfect information, which can influence a buyer's willingness to pay and overall decision-making process, according to the principles of behavioral economics. Unlike mainstream economics, which assumes rational actors with perfect information, behavioral economics acknowledges that decisions are often made based on relative outcomes and perceived value rather than absolute savings.

What is the covariance for the number of times a head appears for each coin? Suppose you have two unfair coins. Coin 1, denoted as C1, has a probability of landing heads with probability 2/5 and tails with probability 3/5. Coin 2, denoted as C2, has a probability of landing heads with probability 1/3 and tails with probability 2/3. Toss coin 1 first. If coin 1 lands heads, toss coin 1 again. If coin 1 lands tails, then toss coin 2.

Answers

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

If Miranda flips a coin twice, what is the probability that both coins will land heads up?
The probability that the first coin will land heads up is
The probability that the second coin will land heads up is
The probability that both coins will land heads up is

Answers

Answer: The probability that the first coin will land heads up is : 50

               The probability that the second coin will land heads up is

               The probability that both coins will land heads up is : 25

Step-by-step explanation:

Answer: Both coins 1/4

First coin 1/2

Second coin 1/2

x ^2 +y ^2 −4x+12y−24=0 What is the center of this circle ?

Answers

(2, -6) is the center of the circle.

To find the center of the circle, we need to rewrite the given equation in standard form:

[tex]x^2 - 4x + y^2 + 12y = 24[/tex]

We can complete the square to put it into the standard form:

[tex]x^2 - 4x + 4 + y^2 + 12y + 36 = 24 + 4 + 36\\\\(x - 2)^2 + (y + 6)^2 = 64[/tex]

Now we can see that the center of the circle is (2, -6).

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The center of the circle represented by the equation x^2 + y^2 −4x +12y−24=0 is (2, -6), which is determined by completing the square for both x and y terms.

To determine the center of a circle given by the equation x^2 + y^2 −4x +12y−24=0, we need to complete the square for both the x and y terms.

Step 1: Rearrange the equation by grouping x terms and y terms together: x^2 −4x + y^2 +12y = 24.

Step 2: Complete the square for the x terms and y terms: (x^2 −4x + 4) + (y^2 +12y + 36) = 24 + 4 + 36.

Step 3: Simplify the equation: (x − 2)^2 + (y + 6)^2 = 64.

Step 4: In the standard form of a circle equation, (x − h)^2 + (y − k)^2 = r^2, the center is at (h, k). Therefore, the center of the given circle is (2, -6).

What is the length of segment TV?

Answers

Answer:

38 units

Step-by-step explanation:

VS = TS

39 = 6x – 3

39 + 3 = 6x

42 = 6x

X = 7  

TV = 2(VR)

TV = 2 ( 2(7) + 5)

TV = 38 units

Brainiest please?

A bag of chips is 24 ounces. A serving size is 3/4 ounce. How many servings are in the bag of chips?


Answers

Answer:

The correct answer to the following question will be "32 servings".

Step-by-step explanation:

The given values are,

A bag of chips = 24 ounces

Serving size = 3/4 ounces

Servings = ?

Now,

On dividing "24 ounces" by "3/4 ounce", we get

⇒  [tex]\frac{24}{\frac{3}{4}}[/tex]

⇒  [tex]24\times \frac{4}{3}[/tex]

⇒  [tex]8\times 4[/tex]

⇒  [tex]32[/tex]

Thus, the bag of chips contains "32" servings.

Final answer:

To determine the number of servings in a 24-ounce bag of chips with a serving size of 3/4 ounce, divide the total weight by the serving size, resulting in 32 servings.

Explanation:

The student has asked a question about how to calculate the number of servings in a bag of chips given its total weight and the size of each serving. This is a mathematics problem involving division.

To find out the number of servings in a 24-ounce bag of chips where each serving is 3/4 ounce, you divide the total weight of the bag by the weight of a single serving:

Number of servings = Total weight of the bag / Weight of one serving

Number of servings = 24 oz / (3/4 oz)

To divide the fractions, you multiply by the reciprocal of the serving size, which is:

Number of servings = 24 oz × (4/3)

Number of servings = 32

Therefore, there are 32 servings in the 24-ounce bag of chips.

State the type of hypothesis test to be used in the following situation: Researchers hoped to determine whether time spent watching television is associated with cardiovascular fitness. Subjects were asked how many hours per day they watch television and were classified as physically fit if they scored in the excellent or very good category on a step test. The data obtained is as follows: Physically Fit Not Physically Fit 0 hours 35 147 1-2 hours 101 629 3-4 hours 28 222 5 or more hours 4 34 Determine if the association the researchers were interested in exists or not.

Answers

Answer:

t-test for difference in slopes

no association exists

Step-by-step explanation:

t-test can be used to determine signifiance in difference in slopes of of fit vs time and not fit vs time graph

The data shows that as number of hours spent watchnig television increases, there is no increasing or decreasing trend in number of people fit or not fit. The number of people fit or not fit seems to be distributed around 629 for 1-2 hours of watching television. There trend is not consistent in both cases with increasing number of hours

It cost Jodi $44.88 to buy 12 gallons of gas.what was the cost per gallon of gas?

Answers

Answer: $3.74

Step-by-step explanation: 44.88/12=3.74

Answer:

Jodi paid $3.74 for each gallon of gas

Step-by-step explanation:

A bucket of water is one quarter full. You add 3.6L to the bucket. Now it has 18L in it. How much water will the bucket hold?

Answers

Answer:

57.6 Liters

Step-by-step explanation:

18 - 3.6 to find what 1 quarter is

14.4 * 4 to find the total amount it can hold

= 57.6

Put the fraction in order from least to greatest 1/8, 1/3, 1/6

Answers

Answer:

You have to make them equal first. Start with that.

1/8  --> 3/24

1/6 ---> 4/24

1/3  --> 8/24

Now, order them.

1/8, 1/6. 1,3

A research firm supplies manufacturers with estimates of the sales of their products from samples of stores. Marketing managers often look at the sales estimates and ignore sampling error. An SRS of 50 stores this month shows mean sales of 41 units of a particular appliance with a standard deviation of 11 units. During the same month last year, an SRS of 52 stores gave mean sales of 38 units of the same appliances with a standard deviation of 13 units. An increase from 38 to 41 is a rise of 7.9 % . The marketing manager is happy because sales are up 7.9 % . (a) Give a 95 % confidence interval for the difference in mean number of units of the appliance sold at all retail stores. (Enter your answer rounded to three decimal places.)

Answers

Answer:

lower interval = -1.715

upper interval = 7.715

Step-by-step explanation:

The 95% confidence interval for the difference in mean number of units of the appliance sold at all retail stores for this case is  [-1.667, 7.667]

How to find the confidence interval for difference in mean?

Supposing the samples are large, let we're given that:

For first sample:

[tex]n_1[/tex] =sample size[tex]s_1[/tex] = sample standard devation[tex]\overline{x}_1[/tex] = sample mean

For second sample:

[tex]n_2[/tex] =sample size[tex]s_2[/tex] = sample standard devation[tex]\overline{x}_2[/tex] = sample mean

Suppose the confidence level be p% = p/100 in decimal, then the level of significance would be [tex]\alpha = 1 - p/100[/tex]

Then, the margin of error would be:

[tex]MOE = Z_{\alpha/2}\sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]

where [tex]Z_{\alpha/2}[/tex] is the critical value of Z at level of significance [tex]\alpha[/tex]

The confidence interval would be:

[tex]CI = \overline{x}_1 - \overline{x}_2 \pm MOE[/tex]

Thus, for this case, we're specified that:

For first sample (SRS this month):

[tex]n_1[/tex] =sample size = 50[tex]s_1[/tex] = sample standard devation = 11[tex]\overline{x}_1[/tex] = sample mean = 41

For first sample(SRS last month):

[tex]n_2[/tex] =sample size = 52[tex]s_2[/tex] = sample standard devation = 13[tex]\overline{x}_2[/tex] = sample mean = 38

Level of significance = 1 - 95/100 = 0.05

The critical value of z at 0.05 level of significance (from the tables of critical value of Z) is: [tex]Z_{0.05/2} = 1.96[/tex]

Thus, the margin of error would be:

[tex]MOE = Z_{\alpha/2}\sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}\\\\\\MOE = 1.96\sqrt{\dfrac{11^2}{50} + \dfrac{13^2}{52}}\\\\MOE \approx 4.667[/tex]

Thus, the confidence interval would be:

[tex]CI = \overline{x}_1 - \overline{x}_2 \pm MOE\\CI \approx 41 - 38 \pm 4.667\\CI \approx 3 \pm 4.667\\CI \approx [3 - 4.667, 3 + 4.667] = [-1.667, 7.667][/tex]

Thus, the 95% confidence interval for the difference in mean number of units of the appliance sold at all retail stores for this case is  [-1.667, 7.667]

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The ASA process aids organizations in maintaining the relative heterogeneity of employee personalities and values. Individuals self-select the companies for which they choose to work. Due to economic circumstances, companies today hire people for fit with the job only and are much less concerned about fit with the culture. New organization members are rarely taught the "way of business" in the firm; they simply acquire that knowledge through daily activities. Person-organization misfit has only a minor impact on employee turnover. If Mike thinks quality is more important than quantity and Nick disagrees, what is likely the basis for their conflict? arbitration disagreement in values mediation solutionthe answer is not mediation **Use Pie Graph for Projected PercentageCategory Total ProjectedDifferenceHousing$575(Type Here)Budget Busters #2- Bella($28,000 annual salary at 18% tax rate)Amount of Taxes: (Type Here)Net Annual Income:Net Monthly Income:(Type Here (Type Here)Actual(Type Here)$478.25 (Type Here)Debt(Type Here)GroceriesS320(Type Here)CategoryTotalPercentTransportationS250(Type Here)(Type Here)(Type Here)(Type Here)Housing$575$100Charity(Type Here)(Type Here)Debt$189.75$478.25Savings(Type Here)(Type Here)(Type Here)Groceries$320(Type Here)Transportation$250(Type Here)1. What is the most significant difference between Bella's actualspending and her budget?(Type Here)Charity$100(Type Here)Savings$189.75(Type Here) the 3rd amendment of the constitution protects us from who staying in out house?A. Politicians B. Homeless peopleC. SoldiersD. Friends in five to ten sentences, explain how the feudal system worked. roman empire please help asap! thank you :)Why do you think Japan didn't get taken over by the US the way Hawaii did? (3 sentences) Algal blooms can have negative effects on an ecosystem by dominating its phytoplankton communities. Gonyostomum semen is a nuisance alga infesting many parts of northern Europe. Could the overall biomass of G. semen be controlled by grazing zooplankton species? A research team examined the relationship between the net growth rate of G. semen and the number of Daphnia magna grazers introduced in test tubes. Net growth rate was computed by comparing the initial and final abundance of G. semen in the experiment, with a negative value indicative of a decrease in abundance. Here are the findings:Number of D. magna grazers 1 2 3 4 5 6Net growth rate of G. semen 1.9 2.5 2.2 3.9 4.1 4.3Using the above information, software tells us that the least-squares slope is b = 0.5286 with standard error SEb = 0.1059.(a) What is the t statistic for testing H0: = 0? (Round your answer to two decimal places.)t = (b) How many degrees of freedom does t have?df = Use this table to approximate the P-value of t against the one-sided alternative Ha: > 0 (as the grazers would be expected to reduce algal growth).0.001 < P < 0.00250.0025 < P < 0.005 0.005 < P < 0.0100.010 < P < 0.0200.020 < P < 0.025(c) What do you conclude? (Use = 0.05.)There is strong evidence that the population slope is negative.There is not enough evidence to conclude that the population slope is negative. What are the most important things to remember about doing research? Consider two cells, the first with Al and Ag electrodes and the second with Zn and Ni electrodes, each in 1.00 M solutions of their ions. If connected as voltaic cells in series, which two metals are plated, and what is the total potential, E ? Which two metals are plated? a. Al ( s ) b. Ag ( s ) c. Zn ( s ) d. Ni ( s ) E = How could you solve for pH ifthe [OH-] concentration is the only value you know? * The Atlantic City Expressway is a highway that runs from outside Philadelphia to Atlantic City, New Jersey. It is notoriously congested during the summer weekends when many people are driving to the beach about the same time. Because drivers who decide to take this road ignore the impact of their driving on overall traffic congestion the result is ________ cars on the road than the efficient number of cars and a deadweight loss is ________. Steam Workshop Downloader