Jennifer has 6 cups of sugar total. How many 1/4 cups of sugar does she have?

The limit of the given expression as t approaches 9 is 21/25.

To find the limit of the given expression as t approaches 9, we substitute t = 9 into the expression and simplify.

(a) lim(t→9) (2t² + 21t + 27) / (3t^2 + 25t - 18)

Plugging in t = 9, we get:

= (2(9)^2 + 21(9) + 27) / (3(9)^2 + 25(9) - 18)

= (162 + 189 + 27) / (243 + 225 - 18)

= 378 / 450

To simplify the fraction, we can find the greatest common divisor (GCD) of 378 and 450, which is 18. Dividing both numerator and denominator by 18, we get:

= (378/18) / (450/18)

= 21/25

Therefore, the limit as t approaches 9 is 21/25.

To learn more about limits visit;

https://brainly.com/question/12211820

#SPJ11

Complete question:

Find each of the following limits (give your answer in exact form):  

(a) lim t-9   (2t² + 21t+27) / (3t^2 + 25t - 18)

Therefore , the solution of the given problem of slope comes out to be less consistent than that of the split-brain patients.

The slope of a line determines how steep it is. Equations predicated on gradients might experience gradient overflow. One can determine the slope by dividing the midpoint of the run (length difference) between two points by the rise (vertical differentiation) between the same two points. The equation of the hill type with the notation y = mx + b is used to model the fixed path problem.

Here,

Given :

A slope having search functions for the control subjects and

the split-brain patients is different because

In general, the control participants' performance was less consistent than that of the split-brain patients.

Therefore , the solution of the given problem of slope comes out to be less consistent than that of the split-brain patients.

To know more about slope visit:

https://brainly.com/question/3605446

#SPJ4

Answer:

x=40

Step-by-step explanation:

x= 360-(273+47)

The time it takes for the water balloon to reach a height of 9 feet is 20 seconds.

We have the function,

h = -0.08t² + 1.6t + 2

that models the height h (in feet) of the water balloon after t seconds.

Now, we can write this in the form of an equation,

-0.08t² + 1.6t + 2 = 9, Or

-0.08t² + 1.6t - 7 = 0

We can now use the quadratic formula to solve for 't':

t = [-b ± √(b² - 4ac)] / 2a,

where a = -0.08, b = 1.6, and c = -7

t = [-1.6 ± √(1.6² - 4(-0.08)(-7))] / 2(-0.08)

t = [-1.6 ± √(1.6² + 1.12)] / -0.16t = [-1.6 ± √(2.56)] / -0.16

We can ignore the negative value of 't' (time cannot be negative), therefore,

t = [-1.6 + √(2.56)] / -0.16t = (-1.6 - 1.6) / -0.16

t = 20

Therefore, it takes 20 seconds for the water balloon to reach a height of 9 feet.

Learn more about quadratic formula visit:

brainly.com/question/22364785

#SPJ11

Answer:

yourcredit limit is 2000$

600$                     (600*100)/30=2000$

30%                       100%

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

600/30% makes a decimal so move the point 2 spaces and it is 20

The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

for more such question on intended visit

https://brainly.com/question/31252264

#SPJ8

Answer:

1/2

Step-by-step explanation:

So we multiply 2 by 6, and get 12.

Then we multiply 1 by 3, and get 3.

Next we give both terms new denominators

So now our fractions look like this:

12/18-3/18

Since our denominators match, we can subtract the numerators.

12 − 3 = 9

So the answer is:

9/18

So we reduce it:

9/18divided by 3=3/6

so since it’s equivalent we reduce it again

3/6divided by 3 which equals 1/2

and that’s our final answer 1/2

I hoped that this helps :)

Answer:

(5+3^2)*4

Step-by-step explanation:

i belive im correct

Olivia ran 56 miles last month.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given,

She ran 5 days during the first week of the month

She ran only 3 days each week for the next 3 weeks.

Number of mile she ran given by expression (5 + 3 * 3) * 4

                                                    = (5 + 9) * 4

                                                     = 1 4 *4  

                                                     = 56

Therefore, Olivia ran 56 miles last month.

Learn more about Expressions here :

brainly.com/question/21751419

#SPJ5

The slope of the line passing through the points (-5, -4) and (-13, 2) is -3/4.

Slope is simply expressed as a change in y over the change in x.

It is expressed as

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Given the points:
(-5, -4) and (-13,2)​

Point (-5, -4):

x₁ = -5

y₁ = -4

Point (-13,2)​:

x₂ = -13

y₂ = 2

Plug the given x and y values into the slope formula and simplify.

\(m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2 - (-4)}{-13 - (-5)}\\\\m = \frac{2 + 4}{-13 + 5}\\\\m = \frac{6}{-8}\\\\m = -\frac{3}{4}\)

Therefore, the slope of the line is -3/4.

Learn more about slope formula here: brainly.com/question/24578307

#SPJ1

Answer:

Supplementary angles are two angles whose measures add up to 180 degrees. ... Supplementary angles are two angles whose measures add up to 180° . The two angles of a linear pair , like ∠1 and ∠2 in the figure below, are ... If the measure of the angle is twice the measure of the other, find the measure of each angle.

Step-by-step explanation:

Answer: So in this problem the first one is by what degrees? Thanks and will try to help when info is given. I think 72

Step-by-step explanation:

The amount of gallons of water the Jug can hold is  8.66 gallons.

The water jug is in the shape of a prism the area of the base is 100 square inches and the height is 20 inches.

Therefore, the number of gallons of water the jug can hold can be calculated as follows:

volume of the prism = Bh

where

Therefore,

volume of the prism = 100 × 20

volume of the prism = 2000 inches³

Therefore,

231 inches³ = 1 gallon

2000 inches³  = ?

cross multiply

amount of water the jug can hold = 2000 / 231

amount of water the jug can hold = 8.66 gallons

learn more on prism here: https://brainly.com/question/12791528

#SPJ1

Answer:

FG=16

Step-by-step explanation:

\(\frac{28}{32}\)=\(\frac{14}{FG}\)

28FG=448

FG=16

To check answer

\(\frac{28}{32}\)=0.875

14/16=0.875

Hope this helps! :)

The confidence interval estimate of σ is given by:  s - E ≤ σ ≤ s + E, which becomes 0.24 - 0.098 ≤ σ ≤ 0.24 + 0.098. Therefore, the 80% confidence interval estimate of σ is (0.142, 0.338) mg.

Degrees of Freedom:

The number of degrees of freedom (df) is defined as the number of independent observations in the data minus the number of independent restrictions on the data.

The number of degrees of freedom for the confidence interval estimate of σ is (n - 1).

Since n=30, the number of degrees of freedom is (n - 1) = 29.

Critical values:

χ2L and χ2R are the left-tailed and right-tailed critical values that partition the area of α/2 in the right tail and the left tail of the chi-square distribution with n - 1 degrees of freedom, respectively.

We can calculate χ2L and χ2R by using a chi-square table or a calculator.

For this problem, since α = 0.2, the area in each tail is α/2 = 0.1.

Therefore, the critical values are:

χ2L = 20.0174 (from the chi-square distribution table with 29 degrees of freedom and area 0.1 in the left tail) and

χ2R = 41.3371 (from the chi-square distribution table with 29 degrees of freedom and area 0.1 in the right tail).

Confidence interval estimate of σ:

The 80% confidence interval estimate of σ can be calculated as:s = 0.24 mg is the sample standard deviation.

n = 30 is the sample size.

The margin of error (E) can be calculated using the formula: E = t*s/√n, where t is the critical value from the t-distribution with n - 1 degrees of freedom and area (1 - α)/2 in the tails.

Since the sample is drawn from a normal distribution, the t-distribution can be used.

Since α = 0.2, the area in each tail is (1 - α)/2 = 0.4.

Therefore, the critical value is t = 0.761 (from the t-distribution table with 29 degrees of freedom and area 0.4 in the right tail).

Thus, the margin of error is:

E = t*s/√n

= 0.761*0.24/√30

= 0.098.

Know more about the confidence interval

https://brainly.com/question/20309162

#SPJ11

Answer:

7.3...

10/3×11/5= 110/15

110/15=22/3

22/3=7.3...

thus the answer is 7.3...

The range of speeds at which a car can safely make the curve is approximately 70 km/h to 130 km/h.


When a car moves along a banked curve, the friction force plays a crucial role in preventing the car from slipping. To determine the safe range of speeds, we consider two scenarios: when the car goes too slow and when it goes too fast.
1. When the car goes too slow: If the car moves slower than the required speed, the friction force points uphill, away from the center of the curve. In this case, the static friction force needs to provide the centripetal force. Using the equation F_friction = μ_s * N, where μ_s is the coefficient of static friction and N is the normal force, we can find the minimum speed at which the friction force can supply the required centripetal force.

2. When the car goes too fast: If the car moves faster than the required speed, the friction force points downhill, toward the center of the curve. The static friction force is not needed for the centripetal force in this case. Instead, the vertical component of the normal force provides the necessary centripetal force. Again, we can use the equation F_friction = μ_s * N to find the maximum speed at which the friction force is still within the limit.
Considering these scenarios, with a coefficient of static friction of 0.40, we find that the safe range of speeds for the car to make the curve is approximately 70 km/h to 130 km/h, rounded to two significant figures.

Learn more about Speed here: brainly.com/question/32673092
#SPJ11

Answer:

A-1

Step-by-step explanation:

It perfectly represents the scenario.

Answer:

A - 2

Step-by-step explanation:

younger  =  -

A - 2

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

Answer:

68 degrees higher.

Step-by-step explanation:

You have to start at negative ( -11 to 0 ) which is already 11 degrees and then you need to count how much degrees from 0 to 57.

Answer: 68°F warmer was the temperature in Los Angeles

Step-by-step explanation:

\(57^0F-(-11^0F)=\\\\57^0F+11^0F=\\\\68^0F\)

Step-by-step explanation:

To find the mean, you add all the numbers and divide by how many there are.

In this case, you add -54,-32,-70,-25,-65, and -42. Then you divide by 6 because there are 6 numbers.

When you add them all, you get -288.

Now divide.

-288/6=-48

Hope it helps!

Answer:

-48

so you add all the numbers together, which will give you -288

there are 6 terms, so you divide -288 by 6

gives you your answer of -48

Answer:

0x>3 technically

Step-by-step explanation:

At step 3 you have -6<-2x

You want to get the x by itself on one side of the equation. Divide by -2 on both sides of the equation

-6÷-2<-2x÷-2

-6÷-2=3 and -2x÷-2=x

So you would have 3<x BUT when you divide an inequality by a negative, it flips the inequality sign.

So instead of 3<x your answer would be 3>x

Also, it would not be 0x, but 1x. Out of the choices you gave, the answer would be 0x>3 but if you want to actual answer it would be 1x>3 or just x>3

The final step in solving the given inequality is x < 3. The correct answer is option (C) x < 3.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given as follows:

-2(5-4x) < 6x - 4

First, simplify the inequality as:

-2(5-4x) < 6x - 4

Distribute the -2 in the above inequality,

-10 + 8x < 6x - 4

Add 10 and subtract 6x from both sides,

-10 + 8x + 10 - 6x < 6x - 4 + 10 - 6x

2x < 6

Divide both sides by 2

x < 3

Therefore, the final step in solving the given inequality is x < 3.

Hence, the correct answer is option (C) x < 3.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ7

Answer:

Ruby has 11 pennies and 15 nickels.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The worth of a penny is 1 cent. Converting to dollars, it becomes

1/100 = $0.01

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of pemnies that Ruby has.

Let y represent the number of nickels that Ruby has.

She has 4 more nickels than pennies. This means that

y = x + 4

Ruby has $0.86 worth of pennies and nickels. This means that

0.01x + 0.05y = 0.86 - - - - - - - - - - - 1

Substituting y = x + 4 into equation 1, it becomes

0.01x + 0.05(x + 4) = 0.86

0.01x + 0.05x + 0.2 = 0.86

0.06x = 0.86 - 0.2 = 0.66

x = 0.66/0.06

x = 11

y = x + 4 = 11 + 4

y = 15

Answer:

its 94 on deltamath just did it

Step-by-step explanation:

Let t=0 represent the year 1997

Starting Value: 690

Write function:

y=690(b)^t

Now find the b-value:

y=390 when t=4 (2001−1997)

390=690(b)^4

390/690=690(b)^4/690

0.56521739=b^4

(0.56521739)^1/4=(b^4)^1/4

0.86706944=b

Write Complete Function:

y=690(0.86706944)^t

Find value in 2011 (use t=14):

y=690(0.86706944)^14

y=93.67062063

y≈94

Answer:

R(n)=100,000(0.5)^n

Step-by-step explanation:

The part of 20 that is 32 is 12 all you have to do is subtract 20 from 32.

His/her lowered score was most likely due to statistical regression.

The missing options in the question are:

A. compensation rivalry  B. Demoralization C.  Differential selection

D.  Testing E.  Statistical regression

From the question, we have:

A change (whether higher or lower) in the score is caused by statistical regression.

This is so because several variables could attribute to the change in the score.

The relationship between these variables is referred to as statistical regression

Read more about statistical regression at:

https://brainly.com/question/25987747

#SPJ12

Sierra and Keaton are both engaged in constructing inscribed shapes, but there is a notable difference in their construction steps. Sierra is constructing an inscribed square, while Keaton is constructing an inscribed regular hexagon.

In Sierra's construction, she begins by drawing a circle and then proceeds to find the center of the circle.

From the center, Sierra marks two points on the circumference, which serve as opposite corners of the square.

Next, she draws lines connecting these points to create the square, ensuring that the lines intersect at right angles.

On the other hand, Keaton's construction of an inscribed regular hexagon follows a distinct procedure.

He starts by drawing a circle and locating its center. Keaton then marks six equally spaced points along the circumference of the circle.

These points will be the vertices of the hexagon.

Finally, he connects these points with straight lines to form the regular hexagon inscribed within the circle.

Thus, the key difference lies in the number of sides and the specific geometric arrangement of the vertices in the shapes they construct.

For more such questions on inscribed shapes

https://brainly.com/question/15623083

#SPJ8

The value of the expression is 32.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

50% of 88 - 33(1/3)% of 36

This can be written as,

= 50/100 x 88 - (100/3)/100 x 36

= 44 - 12

= 32

Thus,

The value is 32.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Expression to represent the area of a right triangle with legs length as 2x-2 and 4x+2 is 4x² - 2x - 2.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between.

Given,

legs length of a right angle triangle = 2x-2 and 4x+2

Area of the right angle triangle = (length of leg a × length of leg b)/2

                                                    = (2x-2)(4x + 2)/2

                                                    = 2(x - 1)(4x + 2)/2

                                                    = (x - 1)(4x + 2)

Area of the right angle triangle = 4x² - 2x - 2

Hence, 4x² - 2x - 2 is the expression for area of right triangle.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ2

it may be permissible to proceed with a hypothesis test even if the assumption of random participant selection is violated, under the conditions of known and accounted for non-random selection or random assignment to treatment groups

Random participant selection is an important assumption in hypothesis testing, as it helps ensure the generalizability of the results to the target population. However, in some situations, it may be impractical or impossible to achieve perfect random selection. In such cases, there are a few conditions under which it may still be permissible to proceed with a hypothesis test despite the violation of this assumption:

Non-random selection is known and accounted for: If the non-random selection process is well-documented and understood, researchers can adjust their analysis or statistical methods to account for potential biases introduced by the non-random selection.

Random assignment to treatment groups: Even if participants are not randomly selected, random assignment to different treatment groups can help mitigate the impact of non-random selection. By randomly assigning participants to treatment groups, the effects of non-random selection are distributed evenly across the groups, allowing for valid comparisons and hypothesis testing.

Learn more about participant selection here:

https://brainly.com/question/14862285

#SPJ11