Find the measure of angle b.
Answer: \(90^{\circ}\)
Step-by-step explanation:
Vertical angles are congruent.
3. [-/2 Points]
Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)
4x² + 5x-6
x+2
DETAILS
20
lim
X--2
Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result.
g(x)
LARCALC12 1.3.044.
Need Help? Read It
The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2
To find the limit as x approaches -2, we substitute -2 into the function:
f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
= 4(4) - 10 + 12 + 2
= 16 - 10 + 12 + 2
= 20
Therefore, the limit of the function as x approaches -2 is 20.
To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.
However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.
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A cognitive psychologist would like to evaluate the claim that the omega-3 fatty acids can help improve memory in normal adult humans. One group of participants is given a large dose of fish extract containing the Omega-3 (500 mg), and a second group is given a placebo containing no Omega-3 (0 mg). The researcher asks each participant to read the front page of a local newspaper thoroughly every morning and to take their prescribed dosage (of either Omega-3 or placebo) immediately afterwards. The researcher gives each participant a memory test at the end of two weeks and records how many news items each participant remembers from the past three weeks of news. Answer the following:
A) What names would you give the independent and dependent variables;
B) Is the dependent variable discrete or continuous?
C) What scale of measurement (nominal, ordinal, interval or ratio; and continuous or discrete) is used to measure the independent variable?
D) What research method is being used (experimental or observational)? Explain why you conclude that the research method is one or the other.
Answer:
(a)
Independent Variable- Dosage of Omega-3 Fatty AcidsDependent Variable - Number of news item remembered(b)Discrete
(c)Ratio Scale and Discrete Variable
(d) Experimental Method
Step-by-step explanation:
The psychologist wants to evaluate the claim that omega-3 fatty acids can help improve memory in normal adult humans.
(a)In the study, the participants in the two groups were given fish extracts containing Omega-3 (500 mg) and no Omega-3 (0 mg).
The memory test involves measuring the number of items each participant remembers from the past three weeks of news.
Therefore:
Independent Variable- Dosage of Omega-3Dependent Variable - Number of news item remembered(b) The dependent variable is discrete since the number of news items remembered can only be whole numbers.
(c)The independent variable is in milligrams of Omega-3 where the placebo is 0 mg. This is a ratio scale since it has an absolute zero.
Since the dosage is given in multiples of 50mg, it is a discrete variable.
(d)Since the psychologist seeks to manipulate the conditions of the study by introducing Omega-3 to some of the participants and placebo to other participants, it is an experimental distribution.
hailey is designing a counter top for her new kitchen and a diagram of this is on the grid below. area of the counter top is?
Answer:
identify the figure of speech in thus line I'm in wonderful funeral
For the linear function ƒ(x) = 7x – 4, find the range of ƒ(x) at x = –2, 0, and 2.
Question 18 options:
A)
ƒ(–2) = –18, ƒ(0) = 4, ƒ(2) = 10
B)
ƒ(–2) = 18, ƒ(0) = –4, ƒ(2) = 10
C)
ƒ(–2) = 10, ƒ(0) = –4, ƒ(2) = –18
D)
ƒ(–2) = –18, ƒ(0) = –4, ƒ(2) = 10
Answer:
1
Step-by-step explanation:
Write and solve a proportion to find the missing value. Then find the measure of \overline{LT}
LT
.
35
Step-by-step explanation:
A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec2 is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of the car is 0 and its position is 10.
What is the velocity of the car when t = 6? Please show your work and include units in your answer.
The velocity experimented by the car is equal to - 1 feet per second.
What is the velocity of a car at a given time?
Herein we have the graph of the position of the car (y), in feet, versus time (t), in seconds. The graph shows a linear equation, that is, the position is described by a polynomial of the form:
y = m · t + b
Then, the functions for the velocity and acceleration are shown below:
Velocity
dy / dt = m
The slope represents the velocity of the car.
Acceleration
d²y / dt² = 0
Then, the velocity of the car is found by means of the secant line formula:
dy / dt = (0 ft - 10 ft) / (10 s - 0 s)
dy / dt = - 1 ft / s
The velocity of the car is - 1 feet per second.
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Find an equation in standard form and slope intercept form: has x-intercept 3 and y-intercept 6
Answer:
y = -2x + 6 2x + y = 6
Step-by-step explanation:
(3,0) (0,6)
6 - 0
0 - 3
= -6/3 = -2
2x + y = 6
1 What is the value of this expression?
2 +4² x 4 - 12
Tell Me If Somethings wrong with my answer!
Answer:
54
Step-by-step explanation:
pedmas rule
2+16*4-12
2+64-12
66-12=54
What is the probability that the group of stores will have a restaurant or a hardware store or both?
Answer:
2/3
Step-by-step explanation:
There are 4 possible outcomes that include a restaurant, a hardware store, or both. There are 6 possible store combinations (Possibilities = 1 grocery × 3 for the second store × 2 for the third store = 6). So the probability of having a group of stores with a restaurant or a hardware store is:
4/6 = 2/3
Find angles A, B, C and D
Answer: a=101 b=79 c=83 d=97
Samantha is trying to decide between two brands of crackers. Brand A: $1.12 for 8 ounces Brand B: $1.56 for 12 ounces. What is the difference between the unit rates (cost per ounce) between these the two brands?
Answer:
b
Step-by-step explanation:
Answer:
The difference is 1 cent
Step-by-step explanation:
1.12/8 is 0.14
1.56/12 is 0.13
subtract and you get 1
help no time plzzzz plz plz
Answer:
FALSE
Step-by-step explanation:
<E in ∆AED ≅ <E in ∆CEB.
Both are 90°.
Side ED ≅ Side EB
Side AD ≅ Side CB.
Thus, two sides (ED and AD) and a non-included angle (<E) of ∆AED are congruent to corresponding two sides (EB and CB) and a non-included angle (<E) of ∆CEB. Therefore, by A-S-S Congruence Theorem, both triangles are congruent to each other not by SSS.
Give 2 fractions that are equivalent to 6/9 or proportional
Answer:
One Way: 6/9 = 2/3
Step-by-step explanation:
You have to divide. Divide the numerators 6 by 3 and divide 9 by 3 on the denominator.
unicorn a is 4 times older than unicorn b.The sum of their ages is 1.450.
Answer:
Unicorn a : 1,160, and Unicorn b : 290
Step-by-step explanation:
We can make this an equation
Unicorn a is 4x
Unicorn b is x
4x + x = 1,450
x = 290
Unicorn a : 4•290= 1160 years old
Unicorn b : is 290 years old
Rita started the day with rapps. Then she deleted 5 apps and still had twice as many apps as Cora has Write an equation that represents the number of apps each girl has
Rita has:
\((r-5)\text{ apps}\)Cora has:
\(\frac{1}{2}(r-5)\text{ apps}\)Explanation:Rita started the day with r apps
She deleted 5, and has
\(r-5\)Then she still has twice as many apps as Cora, so Cora app is:
\(\frac{1}{2}(r-5)\)The length of a rectangle is 3 cm longer than its width.
If the perimeter of the rectangle is 50 cm, find its length and width.
The length and width of the rectangle are 14 cm and 11 cm respectively
What is perimeter?Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.
The perimeter of a rectangle = l+l+w+w = 2(l+w)
represent the length by x and width by y
x = 3+y
p = 2(x+y)
represent 3+y for x
50 = 2( 3+y+y)
50 = 2( 3+2y)
50 = 6 +4y
4y = 50-6
4y = 44
divide both sides by 4
y = 44/4
y = 11 cm
x = 3+y
x = 3+11
x = 14
therefore the length and width in cm of the rectangle are 14 and 11 respectively
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How many grams are there in 13 kilograms?
Answer:
13000grams are in 13 kilograms
How would I be able to simplify 12/3? Please explain step by step
Answer:
4/1
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator. GCD of 12 and 3 is 3.
12 ÷ 33 ÷ 3.
Reduced fraction: 41. Therefore, 12/3 simplified to lowest terms is 4/1.
Answer:
i think you divide 12/3 and you get the answer of 4
Step-by-step explanation:
Please help me
give Correct answer
Answer:
the answer is c
Step-by-step explanation:
I done the math, trust me
Answer:
Your answer should be C. 1 1/2
Step-by-step explanation:
This should be right I calculated it.
PLEASE HELP FOR ENVIROMENTAL SCIENCE!!!
PLEASE HELP ON QUESTION ASAP! 30PTS!
I WILL ALSO GIVE YOU A THANKS RATE YOU FIVE STARS AND MAYBE EVEN BRAINLIEST any silly answeres will be reported / deleted
Hiba needs 40g sugar to make 15 biscuits. she also needs three times as much flour as sugar . Hiba is going to make 60 biscuits . work out the amount of flour she needs .
John wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.50 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.40 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. John wants to buy enough boxes to have at least 500 units of vitamins, 600 units of minerals, and 1200 calories. How many boxes of each cereal should he buy to minimize his cost?
Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:
10x + 5y ≥ 500 (minimum 500 units of vitamins)
5x + 10y ≥ 600 (minimum 600 units of minerals)
15x + 15y ≥ 1200 (minimum 1200 calories)
We want to minimize the cost, which is given by:
0.5x + 0.4y
This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:
10x + 5y = 500
5x + 10y = 600
15x + 15y = 1200
Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.
Next, we can calculate the value of the cost function at each corner point of the feasible region:
Corner point A: (20, 40) -> Cost = 20
Corner point B: (40, 25) -> Cost = 25
Corner point C: (60, 0) -> Cost = 30
Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.
Simply expression
Please show steps
Answer:
3(x + 5y) - 2(x + y)
3x + 15y - 2x - 2y
x + 13y
(3x + 15y) + (-2x + -2y)
x + 13y
‼️PLEASE HELP MY FINAL IS TODAY‼️‼️‼️
9. Determine mzB. Round to the nearest degree.
35
C
B
a.
34°
43°
C. 47°
d. 56°
b.
24
Answer:
The answer is 56°. Angle B is an exterior angle of triangle ABC, which means it is equal to the sum of the two remote interior angles (angles A and C). Angle A is 35°, angle C is 121°, so angle B is 56°.
. In a fort, there were provisions for 400 men for 23 weeks. 60 more men joined them. How long will the provisions
last?
The additional 60 men, the provisions will last for approximately 20 weeks.
To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.
Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.
Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.
To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:
Provisions last = Total person-weeks / Number of men
= 9200 / 460
≈ 20 weeks (rounded to the nearest whole number)
The additional 60 men will extend the supply's shelf life to around 20 weeks.
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The diameter of a cone's circular base is 12 inches. The height of the cone is 12 inches.
What is the exact volume of the cone?
Enter your answer in the box.
in³
Answer: It is 144 but add pi symbol
Step-by-step explanation:
In conclusion the exact volume of the cone is 144π cubic inches.
How to solve and what does volume mean?
The radius of the circular base is half the diameter, which is 12/2 = 6 inches.
The volume of a cone can be found using the formula V = (1/3)πr²2h, where r is the radius and h is the height.
Substituting the given values, we get:
V = (1/3)π(6²2)(12)
V = (1/3)π(36)(12)
V = (1/3)(432π)
V = 144π
Therefore, the exact volume of the cone is 144π cubic inches.
Volume is a measure of the amount of space occupied by a three-dimensional object, such as a solid, liquid, or gas. It is typically measured in cubic units, such as cubic meters (m³) or cubic centimeters (cm³). The volume of an object can be determined by measuring its dimensions, such as length, width, and height, and applying the appropriate formula for the shape of the object.
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Mr. Linares manages a construction company which is currently hiring. If today he interviewed 4 carpenters and 2 masons, what is the probability that the first applicant he saw was a carpenter?
Answer:
2/3
Explanation:
total people: 4 + 2 = 6 people
carpenters: 4 carpenters
probability = favourable outcomes/total possible outcomesprobability = 4/6 ≈ 2/3
Answer:
P (carpenter) = 2/3 or 0.67
Step-by-step explanation:
Probabilty of seeing a Carpenter first
Number of carpenters = 4Total number of applicants = 4 + 2 = 6P = No. of carpenters / Total applicants⇒ P (carpenter) = 4/6
⇒ P (carpenter) = 2/3 = 0.67
please help
every package of a certain caculator also includes 4 batteries. select all equations that represent the relationship between the number of packages and the number of batteries
a.) p = 4b
b.) b = 4p
c.) p=1/4b
d.)b= 1/4p
Answer:
c
Step-by-step explanation:
identify the type of function below?
x f(x)
6 64
7 128
8 256
9 512
10 1024
a. linear
b. exponential
c. other
Answer:
b. exponential
Step-by-step explanation:
2⁶ = 64
2⁷ = 128
2⁸ = 256
2⁹ = 512
2¹⁰ = 1024
f(x) = 2^x