What number would you add to both sides of x2 + 7x = 4 to complete the square? 22 72 StartFraction 7 squared Over 2 EndFraction (StartFraction 7 Over 2 EndFraction) squared

Answer:

Mass is a measure of the amount of matter in an object. Mass is usually measured in grams (g) or kilograms (kg). ... An object's mass is constant in all circumstances; contrast this with its weight, a force that depends on gravity. Your mass on the earth and the moon are identical.

Answer:

Step-by-step explanation:

The ratio of 6

11

compares money spent on eggs to money spent on cereal. This is a part-to-part comparison, not a part-to-whole comparison.

The probability of choosing a sandwich at random with turkey and Swiss on wheat bread is calculated by multiplying the independent probabilities of selecting each component. With 2 bread choices, 3 meat choices, and 2 cheese choices, the calculated probability is 1/12.

To find the probability of choosing a sandwich at random with turkey and Swiss on wheat bread, we consider the possible options for each category that can be selected independently. We have 2 bread options (white or wheat), 3 meat options (ham, turkey, or chicken), and 2 cheese options (cheddar or Swiss). To find the probability of one specific combination, we multiply the probabilities of each choice.

The probability of selecting wheat bread is 1/2 because there are 2 options for bread. The probability of selecting turkey as the meat is 1/3 since there are 3 meat options. Finally, the probability of selecting Swiss cheese is 1/2, as there are 2 cheese options.

The combined probability is the product of these probabilities:

(1/2) * (1/3) * (1/2) = 1/12

So, the probability of randomly choosing a sandwich with turkey and Swiss on wheat bread is 1/12.

The probability of randomly selecting a sandwich with turkey and Swiss on wheat bread is 1 out of 12 possible combinations.

To find the probability of choosing a sandwich at random that is turkey and Swiss on wheat, we need to calculate the total number of possible different sandwich combinations and then find the probability of the one specific combination. There are 2 types of bread (white, wheat), 3 types of meat (ham, turkey, chicken), and 2 types of cheese (cheddar, Swiss). The total number of sandwich combinations is the product of the number of choices for each component: 2 * 3 * 2 = 12.

Only one of these combinations is turkey and Swiss on wheat. Therefore, the probability of randomly selecting a turkey and Swiss on wheat sandwich is 1 out of the total number of combinations. Mathematically speaking, the probability (P) is P =  1/12.

The deli sandwich scenario is related to a fundamental concept in statistics and probability, where you assess the outcomes of a certain event given a set of choices.

The question is not very clear, since the most logical thing is to think that the fraction is with respect to the number of baby teeth, if so:

6/20 and 3/10, these would be the two fractions.

But the literal question is to express the number 6, as a fraction.

We can do it by multiplying and dividing by the same number, for example:

6 * 2/2 = 12/2

6 * 10/10 = 60/10

This would be the two fractions.

Answer:

the answer is 67

Step-by-step explanation:

hope it's helpful

Answer:

The mean, μ is 2.5063 and

The standard deviation, σ = 2.0499 × 10⁻²

Step-by-step explanation:

Here we have

[tex]z = \frac{x- \mu}{\sigma}[/tex]

[tex]z \sigma ={x- \mu}{}[/tex] and

10% have length < 2.48 in while

5% have length > 2.54 in

and

From the z score table

Critical z at 10% to the left = -1.282

Critical z at 5% to the right = 1.645

Therefore, the equations become

-1.282σ = 2.48 - μ → μ -1.282σ = 2.48

1.645σ = 2.54 - μ → μ + 1.645σ = 2.54

Solving the above equations gives

The mean, μ = 2.5063 and

The standard deviation, σ = 2.0499 × 10⁻².

Final answer:

Using the Z-score method and the percentages provided, two equations are set up and solved simultaneously to determine the mean and standard deviation of the lengths of the nails.

Explanation:

Given the information that 10% of the nails produced are shorter than 2.48 inches and that 5% are longer than 2.54 inches, and assuming the lengths are normally distributed, we can determine the mean (μ) and standard deviation (σ) of the lengths of the nails. We can use the Z-score formula which is (X - μ) / σ, where X is the value of the length, μ is the mean, and σ is the standard deviation.

Here, we have two Z-scores corresponding to the given percentages. For 10%, the Z-score is approximately -1.28, and for 5%, the Z-score is approximately 1.645. Now, setting up two equations,

(2.48 - μ) / σ = -1.28

(2.54 - μ) / σ = 1.645
we have a system of equations with two unknowns. Solving these equations simultaneously gives us the values for the mean and standard deviation of nail lengths.

To solve the system, multiply the first equation by σ to get μ = σ * -1.28 + 2.48 and the second equation by σ to get μ = σ * 1.645 + 2.54. By setting these two equations for μ equal to each other, you can solve for σ and afterwards find μ.

To solve the given system of equations:

1. (2.48 - μ) / σ = -1.28

2. (2.54 - μ) / σ = 1.645

We can use the method of substitution or elimination. Let's use the substitution method.

From equation 1, we can isolate  μ :

(2.48 - μ) / σ = -1.28

2.48 - μ = -1.28σ

μ = 2.48 + 1.28σ

Now, we substitute this expression for μ into equation 2:

(2.54 - (2.48 + 1.28σ)) / σ = 1.645

(2.54 - 2.48 - 1.28σ) / σ = 1.645

(0.06 - 1.28σ) / σ = 1.645

0.06 - 1.28σ = 1.645σ

0.06 = 1.645σ + 1.28σ

0.06 = 2.925σ

Now, we solve for  σ :

σ = [tex]\frac{0.06}{2.925}[/tex]

σ ≈ 0.0205

Now that we have found the value of \( σ \), we can substitute it back into the expression we found for \( μ \) to find its value:

μ = 2.48 + 1.28σ

μ = 2.48 + 1.28(0.0205)

μ ≈ 2.48 + 0.02628

μ ≈ 2.50628

So, the solution is approximately  μ ≈ 2.50628  and  σ ≈ 0.0205 .

Answer:

C(t)=30+3.5t

Step-by-step explanation:

Yeah this is the answer

Answer:

C(t)=30+3.5t

Step-by-step explanation:

Time increases by 2, the average difference in the cost is approximately 7.

So if d is the common difference of the function modeling this relationship, then  2d≈72.

Therefore,  d≈ 7/2 = 3.5

Since the initial cost of the land is 30 thousand dollars, the function that best models its cost t years since 1990 is C(t)=30+3.5t

Answer:

The answer to your question is below

Step-by-step explanation:

Data

4 red marbles

3 blue marbles

3 yellow marbles

a) Total number of marbles = 4 + 3 + 3 = 10 marbles

b) Number of red marbles = 4 marbles

c) Number of blue marbles = 3 marbles

d) P(blue) = number of blue marbles/ total number = 3/10

e) P(red) = number of red marbles/total number = 4/10 = 2/5

Given:

The area of the rectangular garden is 18z+24 sq ft.

To find the possible dimensions of the garden.

Formula

The area of the rectangular garden is

[tex]A = lb[/tex]

where,

l be the length of the rectangle

b be the width.

Let us take l and b be the length and width of the given rectangular park respectively.

Now,

According to the problem,

[tex]lb = 18z+24[/tex]

or, [tex]lb = 6(3z+4)[/tex]

We can determine that,

l = 6 and b = 3z+4 or vice versa.

Hence,

The possible length and width of the rectangular garden is 6 and (3z+4) respectively.

Answer:

The probability that none will have high blood pressure is 0.0281

Step-by-step explanation:

The correct question is as follows;

Twenty percent of Americans ages 25 to 74 have high blood pressure. If 16 randomly selected Americans ages 25 to 74 are selected, find each probablility. a. None will have high blood pressure

This is a binomial problem. We shall solve in that line

The probability of success is 20% or 0.2 [(Americans ages 25 to 74 have high blood pressure)] p = 0.2

The probability of failure q is thus 1-p = 1-0.2 = 0.8

The probability of none is thus;

P(X= 0) = 16C0 p^0 q^16

= 16C0 * 0.2^0 * 0.8^16 = 0.0281

Answer:

9

Step-by-step explanation:

Consecutive means in a row

x = 1st number

x+1 = 2nd number

x+x+1 = 17

Combine like terms

2x+1 = 17

Subtract 1 from each side

2x+1-1=17-1

2x = 16

Divide each side by 2

2x/2 =16/2

x=8

x+1 = 9

The larger number is 9

Answer:

P=x/2.2

Step-by-step explanation:

We can create an equation to solve this.

Let the number of pounds be P

Let the number of kilograms be X

Now, we know that for 1 kilogram, there is 2.2 pounds.

Therefore if we have 1 kilogram (X) then we will have 2.2 pounds (P).

X=2.2P

All you have to do now is rearrange the equation to find the number of pounds in x kilograms. To do this divide both sides by 2.

Therefore you will get P=x/2.2

The number of pounds in X kilograms can be obtained by using the proportional relationship, Hence, the number of pounds in X kilograms is 2.2X pounds

Given the Parameters :

Creating the proportional expression thus :

1 kilogram = 2.2 pounds

X kilograms =?

Cross multiply :

Number of pounds = 2.2X

Therefore, there will be 2.2X pounds in 1 kilogram.

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The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Lydia is at a coffee shop and knows  she can spend no more than $65

before tax. She sees this price list in  the coffee shop.

Dark Roast Coffee    $7.50

Pumpkin Spice Coffee   $10.50

Breakfast Tea   $23.50

if Lydia buys 1/2 pound of the Breakfast Tea and 2 pounds of the Dark Roast coffee, how many 1- pound bags of Pumpkin Spice coffee can she buy?

Given Information:

Shopping Budge = $65

Price of   Dark Roast Coffee = $7.50

Price of Pumpkin Spice Coffee  = $10.50

Price of  Breakfast Tea  = $23.50

Amount of Breakfast Tea required = 1/2 pound

Amount of Dark Roast coffee required = 2 pounds

Required Information:

How many 1-pound  Pumpkin Spice Coffee can she buy = ?

Answer:

n = 3 bags of 1-pound Pumpkin Spice Coffee

Step-by-step explanation:

We are given that the amount of Breakfast Tea required is 1/2 pound so the cost of Breakfast Tea is

Cost of Breakfast Tea = 1/2*23.50 = $11.75

We are also given that the amount of Dark Roast coffee required is 2 pounds so the cost of Dark Roast coffee is

Cost of Dark Roast coffee = 2*7.50

Cost of Dark Roast coffee = $15

We know that total Lydia's total budget is $65

11.75 + 15 + 10.50x = 65

Where x represents the amount of Pumpkin Spice coffee required

10.50x = 65 - 11.75 - 15

10.50x = 38.75

x = 3.64 pounds

That means Lydia can buy 3.64 pounds of Pumpkin Spice coffee.

Now assuming that the Pumpkin Spice coffee is sold only in 1-pound bags then the required number of bags that Lydia can buy is

n = 3.64 pound/1-pound

n = 3.64

Since bags cannot be in fraction so

n = 3 bags

Note: we can not round off to 4 bags since that would surpass the given budged.

Final answer:

To find the number of different ways Jacob can arrange 3 books on a single bookshelf out of 12 books, we use the concept of permutations. The number of arrangements is 1320.

Explanation:

To find the number of different ways Jacob can arrange 3 books on a single bookshelf out of 12 books, we use the concept of permutations. Permutations calculate the number of ways to arrange objects in a specific order. In this case, we need to find the number of permutations of 3 books out of 12, which can be calculated using the formula:

P(n, r) = n! / (n - r)!

Where n is the total number of books (12) and r is the number of books to be arranged (3).

Substituting the values into the formula, we get:

P(12, 3) = 12! / (12 - 3)! = 12! / 9!

Calculating the factorial, we have:

12! = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 479,001,600

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880

Now, dividing the factorial values, we can calculate the number of arrangements:

P(12, 3) = 479,001,600 / 362,880 = 1320

Therefore, Jacob can arrange 3 books on a single bookshelf in 1320 different ways.

A. 2C(s) + 2H₂(g) + 52.5 kJ → C₂H₄ shows that the enthalpy of formation of C₂H₄ is 52.5 kJ/mol.

Step-by-step explanation:

Enthalpy of formation of C₂H₄ is given as 52.5 kJ/mol.

There are 4 options given and they are:

A. 2C(s) + 2H₂(g) + 52.5 kJ → C₂H₄

B. 2C(s) + 4H(g) + 52.5 kJ → C₂H₄

C. 2C(s) + 2H₂(g) → C₂H₄ + 52.5 kJ

D. 2C(s) + 4H(g) → C₂H₄ + 52.5 kJ

Here the reactants absorb some energy from the surroundings and gives the product and it is an endothermic reaction.

So A and B is taken into account, but in B there are 4 H atoms involved in the reaction. So in the reaction A hydrogen molecules are involved and also energy is absorbed by the reactants.

So option A is the answer.

Answer: 2C(s) + 2H₂(g) + 52.5 kJ → C₂H₄

Answer:

I'm not sure how to answer is but i think its called   < CDE  or  < EDC  or it is an acute angle.

Step-by-step explanation:

The two ways of naming the given angle are:

There are two general ways of naming an angle.

First, we just call the angle as the vertex. For example, in this case the vertex is D, then the name of the angle would be D or ∠D, where the symbol ∠ is used for angles.

Now, there are another way of naming an angle, and it depends on the arms of the angle (in cases where a point is a common vertex for many angles, we need to specify the arms).

So the name would be:

EDC or ∠EDC

Where the vertex goes always in the middle.

If you want to learn more about angles, you can read:

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Answer:

1; after 2 months

2; $130

Step-by-step explanation:

In this question, we are trying to compare the fees to be paid in two different gyms, to determine when the amount paid would be equal and also what this amount would be.

Now since we do not know the exact number of months, we can represent this unknown by x

so mathematically, at the end of m months, at the first gym , Casey would have paid a total of 50 + 40m

For the second gym, at the end of the second month, casey would have paid a total of 65m only

now we need to know when these fees would be the same. we simply equate what we have on both ends

mathematically, that is 50 + 40m = 65m

65m-40m = 50

25m = 50

m = 50/25

m = 2 months

The fees to be paid is

50 + 40(2) = 65(2) = $130

Answer:  

Last one: 5x - 3√y + 1

Step-by-step explanation:

8x + √1 - √9y - √9x^2

8x + 1 - 3√y - 3x

5x + 1 - 3√y

5x - 3√y + 1

CAN YOU PLEASE MARK MY ANSWER BRANLIEST

Answer: (a) 12.44 - 3.11h = 0

(b) 4in²

Step-by-step explanation:

Area of a triangle = (1/2)bh, where b is the base and h is the height.

Now from the question, Area = 6.22in² and the base is 3.11inches.

Therefore, the equation that relates the area to the height and the base wiil be

Area = (3.11)h/2

6.22 x 2 = 3.11 x h

12.44 = 3.11h

12.44 - 3.11h = 0

(b) to find the value of h from the equation, make h the subject of the formula by solving for h

12.44 = 3.11h

h = 12.44/3.11

= 4in²

Answer:

$468

Step-by-step explanation:

450 + (450*0.04) = $468

Answer:

18

Step-by-step explanation:

Answer:

A=153.938 or 154

Step-by-step explanation:

A= pi r^2

A=pi(7)^2

A=pi(49)

A=153.938 or 154

Answer:

49π or 153.86

Step-by-step explanation:

Hi there,

The formula for area of a cirlcle is A = [tex]\pi[/tex][tex]r^{2}[/tex]

So, to find the area, simply plug in the radius into the equation.

A = π * [tex]7^{2}[/tex]

A = 49π

The area is either 49π or if you use 3.14 for pi, it's 153.86.

Hope this helps!

- Emily

Answer:

The deer population in 1920 is 104000

Step-by-step explanation:

Here we have the deer population is given approximately by the following equation;

Population of deer = -0.125·x⁵ + 3.125·x⁴ + 4000

Where x = number of years from 1900

Therefore, in 1920, we have x = 20

Hence, the deer population in 1920 is then

-0.125·20⁵ + 3.125·20⁴ + 4000

Which gives

-400000 + 500000 + 4000 = 104000

The deer population in 1920 is therefore, 104000.

Answer:

The option which is an exception is;

c) The sample sizes are large

Step-by-step explanation:

Here the requirement to perform a two sample t procedure are as follows;

1. The two samples have equal variance, hence the variance should be known

2. The samples for which the two sample t procedure is performed must be independent

3. The data are in alignment with the normal distribution probability

4. The samples are random samples taken from the different respective population

Since the sample size is known, we do not assume that the sample size are large.

Therefore options a), b) and d) are all correct except option c).

The percent discount of the tent is 20%.

A discount reduces the price of an item. After a discount, the price of an item is reduced.

In order to determine the percent discount, the difference in price of the tents have to determined.

$260 - $208 = $52

The percent discount = ($52 / $260) x 100 = 20%

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

Answer:

The answer is 36.

Step-by-step explanation:

   36

    /\

6      6

/\      /\

3 2   3 2

Answer:

The answer for this question is 4.

Step-by-step explanation:

2+2=4

Answer:

maybe 15 students or 63 students and if not I am sorry of that's wrong

Answer:

74°

Step-by-step explanation:

All interior angles of a triangle add up to 180°, so to find the measure of the third angle here, we can use this:

180 - (90+16)

180 - 106

= 74°

Hope this helps!

Answer:

x=-80

Step-by-step explanation:

Answer:

[tex]x=-80[/tex]

Step-by-step explanation:

[tex]a) (-4)x=320\\\\x=\frac{320}{-4} \\\\x=-80[/tex]

Answer:

It is 4 feet below the tree limb now

step by step

it starts at -23 or 23 below and rises 19 or adds 19 to the -23

so -23+19=-4. or 4 feet below the tree limb

Final answer:

After floating up 19 feet from its initial position of 23 feet below the tree limb, the balloon is 4 feet below the limb.

Explanation:

The student's question pertains to finding out the position of a balloon relative to a tree limb if the balloon starts 23 feet below the tree limb and then floats up 19 feet. We begin by acknowledging that the balloon's initial position is -23 feet (since it is below the limb, we consider this as negative). Upon floating up 19 feet, we perform the arithmetic operation of adding +19 feet to the initial position.

The calculation is as follows: -23 feet + 19 feet = -4 feet.

Therefore, the balloon's final position relative to the tree limb is 4 feet below it, since the result is still negative, indicating that the balloon did not reach or surpass the height of the limb.

Answer:

Step-by-step explanation:

Both x and y have the exponent 1, and therefore this is a LINEAR equation.  NO, it is not an exponential function.

Final answer:

The function y=7x-3 is not an exponential function; it is a linear function with a slope of 7 and a y-intercept of -3.

Explanation:

The function given is y=7x-3. To determine whether this function is exponential, we should look at the form of the function. An exponential function has the form y = abˣ, where a is a constant, b is the base of the exponential (which is a positive real number other than 1), and x is the exponent. The given function, however, is a linear function because it can be rewritten in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, m (the slope) is 7, and b (the y-intercept) is -3. Therefore, y=7x-3 is not an exponential function; it is linear.