NEED HELP PLEASE ASAP 9. Evaluate the limit for f (x) = x2 – 4x + 1.
lim
AX-10
f(x + 4x) - f(x)
Δε
Beverly is buying hot dogs and hot dog buns for a picnic. She wants to buy 1 hot dog for each bun with none leftover. The hot dogs come packed 12 in a package. The buns come packed 8 in a package. what is the least amount of each Beverly needs to buy? How many packages of each item would Beverly have to buy?
The least amount of each hot dogs and hot dog buns Beverly needs to buy is 24
The least amount of each hot dogs and hot dog buns Beverly needs to buyHot dog = 12 in a packageHot dog buns = 8 in a packageFind the least common multiple (LCM) of 12 and 8
12 = 12, 24, 36, 48, 60, 72, 84, 96, 1208 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80The least common multiple (LCM) of 12 and 8 is 24
Number packages of each item would Beverly have to buy?
Hot dog = 12 in a package
= 24 /12
= 2 packages
Hot dog buns = 8 in a package
= 24/8
= 3 packages
Therefore, the number of packages of each hot dogs and hot dog buns would Beverly have to buy us 2 packages and 3 packages respectively.
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A zoo is thinking of adding a dome exhibit a showcase desert animals. The zoo sent out a survey to their current members to see their current members to see if they would be interested in adding this kind of the the zoo. Of 2,000 responses 7/10 indicated that yes they would like dome add it to the zoo how many members want a dome add it to the zoo
Based on the fact that out of 2,000 responses, 7/10 indicated that they would like the zoo to add a dome, the number of members who want a dome to be added to the zoo are 1,400 members.
How many members want the dome added?To find the number of members of the zoo who want the dome to be added to the zoo, the following formula would help:
= Number of members that were surveyed by the zoo x Fraction of members who indicated yes to the dome being added
Solving for the number of members who want the dome added gives;
= 2,000 x 7/10
= 14,000 / 10
= 1,400 members
In conclusion, 1,400 members indicated yes to the dome.
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if the measure of arc CDE=118 degrees and the measure of arc EF=62 degrees calculate measure of angle FGE
The measure of angle FGE from the given figure is 28°.
Given that, the measure of arc CDE = 118° and the measure of arc EF = 62°.
How the measure of an arc and measure of an angle are related?The measure of an arc is equal to the measure of its corresponding central angle.
From the given figure, the measure of arc CDE = 118° = corresponding central angle (∠CAE)
So, ∠CAE = 118°
From the given figure, the measure of arc FE = 62° = corresponding central angle (∠FAE)
So, ∠FAE = 62°
As we know the radius of a circle is perpendicular to the tangent.
That is, AE ⊥ EG
So, ∠AEG = 90°
Now, ∠AGE+∠AEG+∠GAE = 180° (The sum of interior angles of a triangle is equal to 180°)
∠AGE + 90° + 62° = 180°
⇒ ∠AGE + 152° = 180°
⇒ ∠AGE = 28°
So, ∠AGE = ∠FGE = 28°
Therefore, the measure of angle FGE from the given figure is 28°.
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The angle FGE will be equal to 28 degrees.
What is an angle of chord theorem?The phrase "the intersecting chords theorem" refers to a relationship between the four-line segments formed by two intersecting chords inside of a circle. The products of the line segment lengths on each chord, according to this statement, are equal.
Given that if the measure of arc CDE=118 degrees and the measure of arc EF=62 degrees. The angle FGE will be calculated as:-
Angle CDE=118 then the angle AFE will be:-
AFE = 180 - 118 = 62
From the angle of chord theorem angle EBF = 31. Now the angle AFE and AEF will be 59 degrees. Angle GEF will be 31 degrees and angle EFG will be 121 degrees by supplementary property.
Angle EGF = 180 - 121 - 31 = 28
Therefore, the angle FGE will be equal to 28 degrees.
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a price was discounted by 20%.and the discounted price is 200€.how many euros are the discount?
Answer:
40€
Step-by-step explanation:
the amount discounted is200€
the 200€ is the amount
hence 100%=200€
what about. 20%
20×200€ ÷100%
= 40€
The discount is applied on 1000 euros.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100. The percent value of one quantity to the other can be calculated by multiplying their ratio by 100.
The discount percent and the discounted price is 20% and €200 respectively.
Suppose the original price be x.
Then, the following equation can be written as,
20% × x = 200
⇒ 20x/100 = 200
⇒ x = 1000
Hence, the original price is obtained as €1000.
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Whats 36/12 as a improper fraction
can you help me to solve this
Answer:
RDASFD
Step-by-step explanation:
What is the decimal fraction of I) ¹½m is 60cm turn to decimal
Answer:
11.02
Step-by-step explanation:
2. a and b are both positive integers, therefore -a and- b are negative
integers. Using this, simplify the expression (-a)(- b) and explain.
Answer:
Here both a & b are positive integers that are obtained from the expression (-a)(-b).
Step-by-step explanation:
It is given that a and b are both positive integers, therefore -a and- b are negative integers.
Now, using this we need to simplify the expression (-a)(-b);
Firstly, let us understand what are integers and types of integers;
The collection of whole numbers and negative numbers is known as an integer in mathematics.
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers.
The inverse additives of the equivalent positive numbers are the negative numbers.
Now, let us understand what are positive and negative integers;
In fact, positive integers are a subset of the wider class of numbers known as integers.
Integers with a negative value are those that are less than zero. They exclude decimals and fractions.
Furthermore, the expression given is (-a)(-b) which is the product of two negative integers.
=> (-a)(-b)
=> ab
Therefore, here both a & b are positive integers that are obtained from the expression (-a)(-b).
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Find the cost of 1 can of soda if 12 cans cost $5.75. Round to the nearest cent
$0.48 or 48₵
Divide $5.75 by 12 cans
[tex]5.75/12[/tex]
Equaling = 0.479...
⬆️
Round to the nearest cent
[tex]0.48[/tex] ✅
Hope this was helpful! (✿◠‿◠)
Shae and John drive trucks for a produce company. One day Shae drove 102 miles in 112
1
1
2
hours. John drove 54 miles in 34
3
4
hour. Who drove at a faster rate?
when you add 102+112 you know that shae drove the fastest
3. A question on a course evaluation survey for an introductory statistics course asked, "How
do you rate the class textbook on a scale from 1 to 10, where 1 = Not Helpful and 10 =
Very Helpful?" The distribution below summarizes the students' responses to this
question. (3 pts)
Frequency
8
"
H▬▬▬▬▬▬▬▬▬▬▬o
2 0
9
1
2
3 4
6 7 8 9 10
5
Rating
If you estimate the median and the mean, which statement is the appropriate statement for
the mean and the median?
a. Median=2 and mean = 5
b. Median=3 and mean = 3.5
c. Median = 3.5 and mean = 3
IMAGE ABOVE
The correct statements regarding the mean and the median of the distribution are given as follows:
b. Median = 3 and Mean = 3.5.
What are the mean and the median of a distribution?The mean of a data-set is given by the sum of all values in the data-set, divided by the cardinality of the data-set, which is the number of values in the data-set.The median of a data-set is given by the middle value of the data-set, which is the value for which 50% of the data-set is less than and 50% of the data-set is greater than.From the frequency table, we have that:
5 observations have a value of 1.7 observations have a value of 2.8 observations have a value of 3.6 observations have a value of 4.5 observations have a value of 5.3 observations have a value of 6.1 observations have a value of 7.1 observations have a value of 10.The number of values in the data-set is:
5 + 7 + 8 + 6 + 5 + 3 + 1 + 1 = 36.
Hence the mean is given by:
M = (5 x 1 + 7 x 2 + 8 x 3 + 6 x 4 + 5 x 5 + 3 x 6 + 1 x 7 + 1 x 10)/36 = 3.5.
The median will be the 36/2 = 18th value, which is of 3.
Hence the correct statement is:
b. Median = 3 and Mean = 3.5.
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How do you do
2х² + 3у²
Step-by-step explanation:
so 2 • 2 = 4x then 3•3=9y since they aren't like terms so u have to leave it like that hope this helps
What is the coefficient of t in the expression? −3t50+16
Answer:
-3/50
Step-by-step explanation:
The coefficient is the dependent or standalone integer(s) that are either multiplied by the variable or go along with the variable in the expression. Thus, this(the answer) is the coefficient.
Hope this helps!
Answer: Hello: )✨-3/50
Step-by-step explanation:
The coefficient is the dependent or standalone integer(s) that are either multiplied by the variable or go along with the variable in the expression. Thus, this(the answer) is the coefficient.
: Have an amazing Day/Night<3
I am absolutely stumped. Can someone help figure this out?
Answer:
Hmmm, the x in the first one is 4.8
The x in the second x is 18.5
Which means that the length for 48x m is 230.4 and the length for 12x m is 33.6
The length for the second image is 4x cm is 74 and 12x cm is 222
Step-by-step explanation:
write a word problem that equals a negative number
Answer:
A submarine submerged at a depth of 40.21 feet dives 57.35 more feet down. What is the new depth of the submarine?
Step-by-step explanation:
Solving:
Rewrite the equation:
It first dived 40.21 feet so our equation is -40.21 + ? so far.
Next it dives another 57.35 feet so the final equation becomes -40.21 + (57.35)
To answer:
-40.21 + (57.35)= -97.56
Hence, the answer would be -97.56
How would you classify √11?
Whole Number
Rational Number
Irrational Number
Integer
Solve for x hrlpppppppppppppppppppppppppp
Answer:
x = 4
Step-by-step explanation:
The two angles labeled on the diagram are alternate exterior angles and by the Alternate Exterior Angles Theorem, they are congruent. So we can set up an equation like this to solve for x.
2x + 19 = x + 23
x = 4
Which value of d would make the
expression 9 1/3 divide d/6 equivalent to a
whole number?
Answer: 5
Step-by-step explanation:
(9 × 3 + 1)× 6 over 3d (Cancel out 3 in both numerator and denominator)
2(1 + 3 × 9 ) over d (Multiply 3 and 9 to get 27)
2(1 + 27) over d (Add 1 and 27 to get 28)
2×28 over d (Multiply 2 and 28 to get 56)
Jane decides that he is spending too much money at his favorite coffee place. He finds that he can buy a bag of 24 ounces of ground coffee for $12 to make at home. It takes 2 tablespoons of ground coffee to make one cup of coffee. How much will each cup of coffee cost you? Note 2 tablespoons equals 1 ounce. Use the dimensional analysis method (use units in your calculations)
The amount that each cup of coffee cost you will be $0.5 per cup.
How to illustrate the information?It should be noted that the information illustrated that Jane decides that he is spending too much money at his favorite coffee place and she finds that he can buy a bag of 24 ounces of ground coffee for $12 to make at home.
It should be noted that since 2 tablespoons equals 1 ounce, the number of teaspoons will be:
= 24 × 2
= 48 teaspoons
Therefore, the amount that each cup of coffee cost you will be:
= Cost / Number of cups
= $12 / (48 / 2)
= $12 / 24.
= $0.5
Therefore, the amount that each cup of coffee cost you will be $0.5 per cup.
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A line passes through the point (2,−4) and has a slope of 1/2. What is the y-coordinate of the point on the line when x = 8?
A. −1
B. 7
C. −2
D. 8
E. 5
The y-coordinate of the point on the line when x = 8 is -1
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
What is the y-coordinate of the point on the line when x = 8?The given parameters are
Slope, m = 1/2
Point, (x1, y1) = (2, -4)
The linear equation is calculated as
y = m(x - x1) + y1
So, we have
y = 1/2(x - 2) - 4
When x = 8, we have
y = 1/2(8 - 2) - 4
Evaluate
y = -1
Hence, the y-coordinate of the point on the line when x = 8 is -1
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10. During the hockey season, Elena
averaged 5.625 assists per game. What is
5.625 written in expanded form? How is
it written with number names?
Answer:
5 + 6*10^-1 +
Step-by-step explanation:
I got you started... If you still need extra help, let me know.
21. A room has a rectangular floor plan as laid out below. Answer the following questions. What is the perimeter of the room in feet?
Answer:
[tex]50ft[/tex]
Step-by-step explanation:
you have to find the missing side by subtract
[tex]14.8 - 7 = 7.8[/tex]
and
[tex]10.2 - 4.5 = 5.7[/tex]
then you add all these to find the perimeter
[tex]p = 14.8 + 4.5 + 7.8 + 5.7 + 7 + 10.2 [/tex]
[tex]p = 50ft[/tex]
do not leave out your signs
It is estimated that one honeybee can make about 1/12 teaspoon of honey in its lifetime. How many honeybees will it take to make 2 tablespoons of honey?
One tablespoon is equivalent to
3 teaspoons.
The number of honeybees which it will take to make the required 2 tablespoons of honey as required in the task content is; 72.
How many honeybees will it take to make 2 tablespoons of honey?It follows from the conversion factor given in the task content that;
3 teaspoons is equivalent to 1 tablespoon.
Hence, 1/12 teaspoons is equivalent to;
= (1/12 ×1) ÷ 3
= 1/36 tablespoons.
On this note, one honeybee can make 1/36 tablespoons of honey in its lifetime.
Hence, if 2 tablespoons of honey is needed, the number of honeybees required is; 2/(1/36)
= 2 ÷ 1/36
= 2 × 36
= 72 honeybees.
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The elementary playground is a 1:6 scale representation of the high school activity field.
If the activity field is 21,600 square feet, what is the area of the playground?
Based on the scale factor of 1:6, if the area of the activity field is 21,600 square feet, the area of the playground is equal to 3,600 square feet.
Given the following data:
Scale factor = 1:6
Area of the activity field = 21,600 square feet.
What is scale factor?A scale factor can be defined as the ratio of two (2) corresponding length of sides, area, or diameter in two similar geometric figures such as equilateral triangles, river, planets in our solar system, etc.
Let E represent the area of the elementary playground.
Let H represent the area of the high school activity field.
Therefore, a mathematical expression which relates the area of the elementary playground to the area of the high school activity field is given by:
E : H 1:6 = x : 21,600
Evaluating, we have:
1/6 = x/21,600
Cross-multiplying, we have:
6x = 21,600
x = 21,600/6
x = 3,600 square feet.
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Please help meee I don’t know the answer and I need it done
Answer:
1) 1/8
Step-by-step explanation:
2[tex]2^{-2}[/tex]= 1/2^2 = 1/4
2^-1 = 1/2^1 = 1/2
1/4x1/2=1/8
hope this helps
Without solving state the property or properties that justify why the two equations must have the same solution set.
5(v - 4) = 100 and (v - 4)5 =100
Answer:
Commutative Property of Multiplication
Step-by-step explanation:
What is the Commutative Property of Multiplication?The Commutative Property of Multiplication essentially states that constants and variables can be multiplied in any order and the product will not change.
For example, the multiplication of 5 x 4 = 20 and 4 x 5 = 20 are equivalent. No matter what, you will get the same product.
How This AppliesBoth equations utilize the distributive property, which states that an expression a(b ± c) can be multiplied to create ab ± ac. As such, we can rearrange the a to either the front or end of the expression and retrieve the same results.
Your answer is the Commutative Property of Multiplication.
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help help help........
Answer: D
Step-by-step explanation:
Range affects y-coordinates
Range starts from -8 and ends at 7. -8 is included in the range, but 7 isn't.
Hence, the answer is -8<=y<7, but the best matching answer is -8<=y<8 since these two inequalities share the most number of solutions.
Hence, the answer is D
What is 4.5E-11 written in standard form
Answer: 4 * 10^(-11) + 5 * 10^(-12)
Step-by-step explanation:
4.5E-11=
4.5 * 10^(-11)=
(4+.5) * 10^(-11)=
4 * 10^(-11) + 0.5 * 10^(-11) =
4 * 10^(-11) + 5/10 * 10^(-11) =
4 * 10^(-11) + 5 * 10^(-1) * 10^(-11) =
4 * 10^(-11) + 5 * 10^(-1+(-11)) =
4 * 10^(-11) + 5 * 10^(-1-11) = 4 * 10^(-11) + 5 * 10^(-12)
Stefan has 4 1/2 cups of oats. He uses 3 1/4 cups to make granola bars for a camping trip. He saves the rest of the oats to feed his parrot, Coco. If Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed Coco with the oats he has left
Answer: Stefan can feed Coco for 5 days.
Explanation: After making the granola bars for the camping trip, he has [tex]1\frac{1}{4}[/tex] cups of oats left over.
Coco, the parrot, needs [tex]\frac{1}{4}th[/tex] of a cup of oats for eating each day.
After figuring out the math, Stefan can feed Coco for 5 days.
To double check that 5 days is correct, take 5 times [tex]\frac{1}{4}[/tex] and you will get [tex]1\frac{1}{4}[/tex].
[tex]1\frac{1}{4}[/tex] is what Stefan had left after making the bars, meaning the answer is correct.
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Hope this helps!
Have a great day and God bless! :)