Serena sold 8 pitchers of lemonade. She used the same amount of lemons in each pitcher. She had three lemons left over. Write an expression to represent the total numbers of lemons she had

Answer:

a or b bc tt could be any number but in saying that it could be 1 or it could be 2000

Step-by-step explanation:

Answer:

120 degrees

Step-by-step explanation:

Angles 1 and 3 are congruent, because they are vertical angles, so we must set them equal to each other, solve for x and plug in x.

Hope this helps :-)

Answer:

3 = 108 degrees

Step-by-step explanation:

2x + 80 = 3x + 60

get the variable and number on different sides

2x + 80 = 3x + 60

2x + 80 - 80 = 2x

3x + 60 - 3x = 60

2x + 3x = 5x

60 + 80 = 140

5x = 140

now divide each side by 5

5x / 5 = x

140 / 5 = 28

x = 28

28 + 80 = 108

The density of the bottle is 1.0988 × 10³ kg/m³.Comparing the values obtained in parts 5 and 6, the density obtained from part 6 (1.0988 × 10³ kg/m³) is close to the value obtained from the graph (1.1 × 10³ kg/m³).

Buoyancy force is the force that acts on an object submerged in a fluid. It is calculated by the weight of the fluid displaced by the object, which is also the weight of the object in the fluid. Archimedes' Principle states that the buoyancy force acting on an object is equivalent to the weight of the fluid that the object has displaced.

It also means that the buoyancy force is dependent on the density of the fluid in which the object is submerged.

Assume that the object's weight, W is the sum of the object's weight in the air and the buoyancy force, that is W = mg = w - w_id, where mg is the weight of the object, w is the weight of the object in air, and w_id is the weight of the displaced fluid.

Let's find the density of the object in terms of weight of the object, apparent weight of the object, and the volume of the object.lD​ = (W - WA) / [(W / g) - WA]Where, lD = density of objectW = weight of objectWA = apparent weight of objectg = gravitational acceleration of EarthV = volume of the objectFrom the given data,

we have calculated the weight of the displaced fluid and the buoyancy force of the bottle to be 5.9 N and 6.22 N respectively.

The weight of the bottle is given as 10.001212 g−1.212log×10 = 12.12 N. Thus, the weight of the object in air is 12.12 N. From the given graph, the apparent weight of the object in water is approximately 6.2 N. So,WA = 6.2 N, W = 12.12 N, g = 10 m/s², and V = 590 × 10^-6 m³.

Now, we can calculate the density of the bottle using the above formula.lD = (W - WA) / [(W / g) - WA]lD = (12.12 - 6.2) / [(12.12 / 10) - 6.2] = 1.0988 × 10³ kg/m³So, the density of the bottle is 1.0988 × 10³ kg/m³.

Comparing the values obtained in parts 5 and 6, the density obtained from part 6 (1.0988 × 10³ kg/m³) is close to the value obtained from the graph (1.1 × 10³ kg/m³).

Hence, it can be concluded that the value obtained from part 6 is the actual density of the object.Now, let's repeat this experiment by choosing different fluids given in the options and calculate the density of each fluid. We will use the same object with the same mass and volume throughout.

The buoyancy force acting on the object will vary depending on the density of the fluid.In order to find the density of each fluid, we can use the same formula as in part 6, where the values of W, WA, and V will remain constant, and the value of g and the value of W_id will change for each fluid. This can be used to calculate the density of each fluid.

To sum up, the buoyancy force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. The density of the fluid determines the buoyancy force acting on the object. We can find the density of an object in terms of weight of the object, apparent weight of the object, and the volume of the object using the formula lD = (W - WA) / [(W / g) - WA]. We can compare the values obtained from the formula with the values obtained from the graph to obtain the actual density of the object. We can also find the density of different fluids using the same formula by changing the value of W_id and g for each fluid.

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Answer:

yeah what you need help with

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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The line has a slope with a measure of 8 / 5.

According to Euclidean geometry, lines can be constructed by knowing the location of two distinct points on a plane. By analytic geometry we can determined the slope of the line by knowing these two points and using the secant line formula:

m = Δy / Δx

Where:

If we know that (x₁, y₁) = (- 2, - 5) and (x₂, y₂) = (2, 3), then the slope of the line shown in the picture is:

m = [3 - (- 5)] / [3 - (- 2)]

m = 8 / 5

The slope of the line is equal of 8 / 5.

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Answer:

\(k>-3\)

Step-by-step explanation:

We have the equation:

\(-3x^2-6x+k=0\)

Where a = -3, b = -6, and c = k.

And we want to determine values of k such that the equation will have real, unequal roots.

In order for a quadratic equation to have real, unequal roots, the discriminant must be a real number greater than 0. Therefore:

\(b^2-4ac>0\)

Substitute:

\((-6)^2-4(-3)(k)>0\)

Simplify:

\(36+12k>0\)

Solve for k:

\(12k > -36\)

\(k>-3\)

So, for all k greater than -3, our quadratic equation will have two real, unequal roots.

Notes:

If k is equal to -3, then we have two equal roots.

And if k is less than -3, then we have two complex roots.

Answer:

B

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

g(x) is f(x) shifted 3 units right and 1 unit up , then

g(x) = (x - 3)² + 1 → B

Answer:

The equation of the blue graph is \(g(x)=(x-3)^{2} +1\). Below is the explanation

Step-by-step explanation:

Given:

   The graph of f(x)=\(x^{2}\)

To find:

    The equation of the transformed graph g(x).

The red graph f(x) is moved right 3 units and up 1 unit to get g(x).

When graph is moved right 3 units , 3 should be subtracted with x.

When graph is moved up 1 unit, 1 is added at the end.

So, our g(x)=\((x-3)^{2} +1\)

The equation of the blue graph is \(g(x)=(x-3)^{2} +1\)

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Answer: \(a_1=50,d=25\) and $475 deposited into the account on her birthdays by her 18th birthday.

Step-by-step explanation:

It is given that, on Gabriela’s first birthday, her parents gave her a $50 savings account.

Initial term : \(a_1=50\)

On every birthday after that her parents added to the account, increasing the amount they deposited by $25 each year.

Common difference : \(d=25\)

It forms an AP: 50,75,100,...

nth term of an AP is

\(a_n=a_1+(n-1)d\)

Substitute \(a_1=50\) and \(d=25\) in the above formula.

\(a_n=50+(n-1)25\)

It represents the amount deposited into the account after n birthdays.

We need to find the amount by her 18th birthday.

Put n=18 in the above equation.

\(a_{18}=50+(18-1)25\)

\(a_{18}=50+(17)25\)

\(a_{18}=50+425\)

\(a_{18}=475\)

Therefore, $475 deposited into the account on her birthdays by her 18th birthday.

We are to calculate total amount given to Gabriela on her 18th birthday

Total amount Gabriela’s parents will have deposited into the account on her birthdays by her 18th birthday is $475

Amount given to her on her first birthday = $50

Additional amount given to her each year = $25

number of years, n = 18

a1 = $50

d = $25

n = 18

Sum = a1 + (n - 1)d

= 50 + (18 - 1)25

= 50 + (17)25

= 50 + 425

= 475

sum = $475

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Answer:

\({ \bf{x = \sqrt{ {12}^{2} - { \sqrt{122} }^{2} } }} \\ x = \sqrt{22} \: in\)

Answer:

x - 1 is not a factor.

Step-by-step explanation:

By the Factor theorem if  x - 1 is a factor then f1) = 0:

f(1) = 4*1^3 + 3*1^2 - 4*1 + 3

=  4 + 3 - 4 + 3

= 6 so it is not a factor.

Answer: x∈(-∞,-2√6-2)U(2√6-2,+∞)

Step-by-step explanation:

\(\displaystyle\\y=\frac{1}{4} (x+2)^2-6\\y > 0\\Hence,\\\frac{1}{4}(x+2)^2-6 > 0 \\\\\frac{1}{4}(x+2)^2-6+6 > 0+6\\\\\frac{1}{4}(x+2)^2 > 6\\\)

Multiply both parts of the equation by 4:

\((x+2)^2 > 24\)

Extract the square root of both parts of the inequality:

\(|x+2| > \sqrt{24} \\|x+2| > \sqrt{4*6} \\|x+2| > 2\sqrt{6}\)

Expand the modulus - we get a set of inequalities:

\(\displaystyle\\\left [{{x+2 > 2\sqrt{6}\ \ \ \ (1) } \atop {-(x+2) > 2\sqrt{6} \ \ \ (2)}} \right.\\\)

Multiply both parts of inequality (2) by -1 and reverse the sign of the inequality:

\(\displaystyle\\\left [ {{x+2-2 > 2\sqrt{6}-2 } \atop {x+2 < -2\sqrt{6} }} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x+2-2 < -2\sqrt{6} -2}} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x < -2\sqrt{6}-2 }} \right.\)

Thus,

\(x\in(-\infty,-2\sqrt{6}-2)U(2\sqrt{6} -2,+\infty)\)

Answer:

couch

Step-by-step explanation:

Answer: Usually the formula for the volume of a prism is V=b(h)—> In words, Volume equals base times height. This means the height 10 would replace h. —> V=b(10). Next we want to find the B in the forumla. If you notice the question says that the base is 24 square centimeters. So our new formula is V=24(10). So option C, V=24x10 is the correct answer.

The value of α is 1/2.

The expected value (E(X)) is 2.

To find the value of α, we need to ensure that the probabilities sum up to 1 over the entire range of non-negative integers.

The probability mass function is given by: P(X = i) = α/2^i

For a probability mass function to be valid, the sum of all probabilities must equal 1.

∑ P(X = i) = 1

Substituting the given probability mass function into the sum:

∑ (α/2^i) = 1

Since the range of i is from 0 to infinity, we can rewrite the sum as a geometric series:

α/2^0 + α/2^1 + α/2^2 + ...

Using the formula for the sum of an infinite geometric series:

S = a / (1 - r)

where a is the first term and r is the common ratio, in this case, 1/2.

α / (1 - 1/2) = 1

Simplifying:

α / (1/2) = 1

2α = 1

α = 1/2

Now let's calculate the expected value (E(X)):

E(X) = ∑ (i * P(X = i))

Substituting the probability mass function:

E(X) = ∑ (i * α/2^i)

Using the formula for the sum of an infinite geometric series:

E(X) = α / (1 - r)^2

where a is the first term and r is the common ratio, in this case, 1/2.

E(X) = (1/2) / (1 - 1/2)^2

E(X) = (1/2) / (1/2)^2

E(X) = (1/2) / (1/4)

E(X) = 2

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Answer:

i say it would be "None of these"

Step-by-step explanation:

because say x=sisters age so, x=12     if lisa if 4 years youger, than x-4=8    (x-4)-x=(-2)      x-(x-4)=4      (x+4)-x=4    so therefore it would be none.

Answer:

none of these

Step-by-step explanation:

because we don't know her sisters age we'll use "x" and Lisa is 4 years younger so you deduct 4 from x and the equation will be '4-x'

Answer:

( \(-\frac{1}{2}\),\(-\frac{9}{2}\))

Step-by-step explanation:

The equation of a midpoint is as follows:

\((\frac{x_{1} +x_{2}}{2} ,\frac{y_{1} +y_{2}}{2})\)

The x-coordinate:

x1 = 7, x2 = -8

7+(-8) = -1

Divide by 2 to get the x-midpoint

-1/2

The y-coordinate

y1 = -4, y2 = -5

-4 + (-5) = -9

Divide by 2 to get the y-midpoint

-9/2

You get:

( \(-\frac{1}{2}\),\(-\frac{9}{2}\))

Answer:

(-0.5 , -4.5)

Step-by-step explanation:

The formula for midpoint is (x1+x2)/2 , (y1+y2)/2

(7, -4) and (-8, -5) are our cordinate points, so we plug them in into our formula

(7+(-8))/2 = -0.5 (<-- our x-axis)

(-4+-5)/2 = -4.5 (<--- our y-axis)

Hope this helps!

The perimeter of the figure 1 is 36 centimeter.

From the given figure,

1) Missing side = 8-5 = 3 cm

Here, perimeter = 8+10+5+7+3+3 = 36 cm

2) Missing side = 12-8 = 4 cm

Missing side = 9-7 = 2 cm

Here, perimeter = 12+7+4+8+9+2

= 42 cm

3) Missing side = 60-40 = 20 mm

Missing side = 30+15 = 45 mm

Perimeter = 60+15+40+30+20+45

= 210 mm

4) Missing side = 71/2 + 11/2

= 9 m

Missing side = 4+2 = 6m

Perimeter = \(7\frac{1}{2}\) + 4+ \(1\frac{1}{2}\) +2+9+6

= 9+4+2+9+6

= 30 m

Therefore, the perimeter of the figure 1 is 36 centimeter.

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Therefore , the solution of the given problem of ordered pair comes out to be the ordered pair (1, 1/2).

"Ordered pairs" are two separate variables that are arranged in a way that suggests a specific sequence. The coordinates for x and y in an order pair are represented, respectively, by the main and second components. The sample following uses close parentheses to indicate the ordered combination.

Here, The formulae are as follows:

=>y = -z + 2      ...(1)

=> y = -2x² + z + 1  ...(2)

Equation (1) can be substituted for equation (2) to find the value of z:

=> Z = x² + 1/2 - z + 2 = -2x² + z + 1

=> 2z = 2x² + 1

We can now enter this value of z into equation (1) and find the value of y:

=> y = -z + 2

=> y = -(x² + 1/2) + 2

=> y = -x² + 3/2

As a result, the equation system can be expressed as:

=> z = x² + 1/2

=> y = -x² + 3/2

When x=0:

=> z = 0² + 1/2 = 1/2

=> y = -0² + 3/2 = 3/2

Therefore, there is no answer for the ordered pair (0, 3/2).

When x=1:

=> z = 1² + 1/2 = 3/2

=> y = -1² + 3/2 = 1/2

The answer is the ordered pair (1, 1/2).

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it took her 10 minutes to fix

Answer:

1. The difference of 2 times d minus = 3.

2. 4 added to the difference of d minus 3 = 4.

3. The difference of d minus 3 divided by 2 = 0.

4. The quotient of 12 divided by the

difference of 3 times d minus 3 = 2.

Step-by-step explanation:

Given that d = 3

1) 3 = The difference of 2 times d minus 3.

2*d - 3 =

2*3 - 3 =

6 - 3 = 3

2) 4 = 4 added to the difference of d minus 3.

4 + (d - 3) =

4 + (3 - 3) =

4 + 0 = 4

3) 0 = the difference of d minus 3 divided by 2.

(d - 3)/2 = (3 - 3)/2 = 0/2 = 0

4) 2 = the quotient of 12 divided by the

difference of 3 times d minus 3.

12/(3d - 3) =

12/(3*3 - 3) =

12/(9 - 3) =

12/6 = 2

Answer:

1. The difference of 2 times d minus = 3.2. 4 added to the difference of d minus 3 = 4.3. The difference of d minus 3 divided by 2 = 0.4. The quotient of 12 divided by thedifference of 3 times d minus 3 = 2

Step-by-step explanation:

Emma's smartphone chiming to notify her about the available coupons in the local strip mall is an example of location-based advertising. Location-based advertising utilizes the location data of a user's device to deliver targeted content or advertising based on their physical location. In Emma's case, her smartphone's GPS signal allowed the device to recognize that she was in the strip mall and send her notifications about the available discounts and offers in the stores nearby. This technology is becoming increasingly popular in today's mobile marketing industry, as it allows businesses to target customers when they are in close proximity to their physical locations, increasing the likelihood of a sale. Additionally, location-based advertising can provide users like Emma with a personalized shopping experience, helping them save time and money by presenting them with relevant offers and discounts while they are on the go.

Emma's experience at the strip mall, where her smartphone chimed to notify her of coupons from certain stores, is an example of location-based marketing. This marketing strategy uses GPS technology to send targeted promotional content to users based on their real-time location, enhancing their shopping experience and increasing engagement with nearby businesses.

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a. The least-squares regression equation is: y = -0.0579x + 7.4913

b.  The Coefficient of determination which is R² = 0.3072.

c.  We will  reject the null hypothesis and arrive at the conclusion that there is a significant linear relationship between age and cortex thickness using ANOVA

d. The thickness when the age is 77 is  is 2.172 mm

a)  The equation of line is of the  form y = mx + b,

y =  cortex thickness

x = the age.

The Regression equation: y = -0.0579x + 7.4913

b)

R² = 0.3072 from the regression analysis and can be explained that  30.72% of the variance in cortex thickness can be explained by age.

c)

Using a significance level of 0.05,

we will make a comparison from the p-value  with the slope coefficient. Then the p-value is less than 0.05 and we will reject the null hypothesis and conclude that there is a significant linear relationship.

d)  y = -0.0579x + 7.4913

and we have x = 77

y = -0.0579(77) + 7.4913

y = 2.172

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complete question:

The average thickness of the cortex, the outermost layer of the brain, decreases

age. The table shows the age and cortex thickness (in mm) from a sample of 9

random subjects:

Age

85

75

60

64

62

70

65

80

72

Thickness

1.8

2.0

2.9

2.8

2.8

2.2

2.7

1.9

2.0

a) Calculate the least-squares regression equation.

b) Calculate the Coefficient of Determination.

c) Test using an ANOVA whether the linear relationship is significant (use

a significance level of 0.05).

d) What is the thickness when the age is 77

Answer:

C

Step-by-step explanation:

Answer:

slope = \(\frac{8}{3}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 5, - 4) and (x₂, y₂ ) = (- 2, 4) ← 2 points on the line

m = \(\frac{4-(-4)}{-2-(-5)}\) = \(\frac{4+4}{-2+5}\) = \(\frac{8}{3}\)

Answer:

Point D

8 3/5 = 40+3= 43

43÷5 = 8,6

........

The greatest of the 4 consecutive integers with a sum of -278 is -68

Let n, n + 1, n + 2 and n + 3 be four consecutive integers.

The sum of four consecutive integers is -278.

⇒ n + (n + 1) + (n + 2) + (n + 3) = -278

⇒ n + n + n + n + 1 + 2 + 3 = -278

⇒ 4n + 6 = -278

⇒ 4n = -278 - 6

⇒ 4n = -284

⇒ n = -284/4

⇒ n = -71

So, the consecutive integers would would be:

n = -71

n + 1 = -70

n + 2 = -69

n + 3 = -68

here, the greatest of the 4 integers is -68

Therefore, the greatest of the 4 consecutive integers with a sum of -278 is -68

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