Answer:
1.5
2.1/5
Step-by-step explanation:
You are driving on a highway and are about 140 miles from a state borer. you set your cruise control at 60 miles per hour and plan to turn it off within 30 miles of the border on either side. write and absolute value equation to model the situation. solve it to find the minimum and maximum numbers of hours you will have cruise control on.
The absolute value function is
|d - 140| = 30.
Using the absolute value function, we have that:
The minimum time is of 1.83 hours.
The maximum time is of 2.83 hours.
Absolute value function:
Basically, absolute value function providing the distance the number is from zero on a number line.
The absolute function is defined by:
|x| = x, x ≥ 0.
|x| = -x, x < 0.
It measures the distance of a point x to the origin,
For example,
|2| = |-2| = 2.
Given,
You are driving on a highway and are about 140 miles from a state borer. you set your cruise control at 60 miles per hour and plan to turn it off within 30 miles of the border on either side.
Here we need to write and absolute value equation to model the situation. And we are also solve it to find the minimum and maximum numbers of hours you will have cruise control on.
In this problem, the minimum and maximum distances are within 30 miles of 140,
Hence, the absolute value function is,
|d - 140| = 30.
So, the minimum distance is of:
=> d - 140 = -30
=> d = -30 + 140
=> d = 110.
Hence the minimum time(distance divided by velocity) is:
=> 110/60 = 1.83 hours.
Then the maximum distance is of:
=> d - 140 = 30
=> d = 30 + 140
=> d = 170
Hence the maximum time(distance divided by velocity) is:
=> 170/60 = 2.83 hours.
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Jamal works at a grocery store part-time He must earn at least $200 each week He earns $8.50 per hour. Which inequality represents the number of hours, x, Jaal must work each week?
Answer: 24
Step-by-step explanation: he needs at least 24 hours and he will make 204 dollars.
number 7 show your work , someone help please.
Answer:
Step-by-step explanation: Replace u with (3)
Multiply 5x3+3/2
Answer: 9
Step-by-step explanation:
remember, a variable is only a placeholder for an actual value.
so, when we get an actual value, we put it into every location of the variable in the expression and simply calculate.
6.
25/(r - 4) for r = 9
that means
25/(9 - 4) = 25/5 = 5
7.
(5u + 3)/2 for u = 3
that means
(5×3 + 3)/2 = (15 + 3)/2 = 18/2 = 9
A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
Hint: the answer will be a 4 digit number, it might include decimals it might not i dunno
Answer:
127.3 feet
Step-by-step explanation:
Use Pythagorean Theorem which says
leg^2+leg^2=hyp^2
90^2+90^2= c^2
8100 +8100=c^2
16200 = c^2
sqrt16200 = c
c ~= 127.27922
Round to one decimal place.
c ~= 127.3 feet
OR, use the shortcut of Special Right Triangles, 45°-45°-90° where, the long side (hypotenuse) is the leg•sqrt2
The legs are 90.
So, the long side is 90•sqrt2
~= 127.27922
~= 127.3 feet
see image.
A box of chocolates contained 12. 5% caramels. There were 5 caramels in the
box. How many pieces of chocolate are in the box?
A. There are 63 pieces of candy in the box.
B. There 8 pieces of chocolate in the box.
C. There are 40 pieces of chocolate in the box.
D. There are 4 pieces of chocolate in the box
The box of chocolates which contain 12.5% caramels has C. 40 pieces of chocolate in the box.
To solve this exercise the percentage formula and the procedure to be applied is as follows:
n= (% * nt) / 100
Where
% = percentagen= number portionnt = total of the number portionInformation about the problem:
% = 12.5%n = 5nt =?Using the percentage formulate and isolating the total of the number portion (nt), we get:
n= (% * nt) / 100
nt = (n*100) / %
nt = (5 * 100) / 12.5
nt = 40
C. There are 40 pieces of chocolate in the box.
What is a percentage?Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.
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j + (-6); j = -3 “evaluate each expression for the given value”
Answer:
-3+(-6)= -9
Step-by-step explanation:
6ab, 8ba, (-2ab) and (-3 bc)
Answer:
4ab = 5bc is the answer
Step-by-step explanation:
Answer:
12ab - 3bc.
Step-by-step explanation:
I am assuming you want to add these.
6ab + 8ba + (-2ab) + (-3bc)
= 6ab + 8ab - 2ab - 3bc
= 14ab - 2ab - 3bc
= 12ab - 3bc.
PLS HELP IM SO CONFUSED
The student says that the proof shows that AOM BOM because they are vertical angles.
Which statement best corrects the student's interpretation?
A. CON = BOM because they are vertical angles.
B. AOM = BOM because they are supplementary, not because they are vertical angles.
C. AOM = BOM because they are complementary, not because they are vertical angles.
D. AOM = BOM because they are both congruent to the same angle, not because they are vertical angles.
∠AOM ≅ ∠BOM because they are both congruent to the same angle, not because they are vertical angles.
How to Identify Congruent Angles?
From the image of the angles attached, we are given that;
∠AOM ≅ ∠DON
Now, from the vertical angle theorem, we can say that;
∠AOM ≅ ∠CON
Similarly, by vertical angles theorem, we can also say that;
∠BOM ≅ ∠DON
From transitive property of congruence, we can equally say that since ∠AOM and ∠BOM are equal to the same angle, then;
∠AOM ≅ ∠BOM
From transitive property of congruence, we can equally say that since ∠CON and ∠BOM are equal to the same angle, then;
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Answer: ∠AOM≅ ∠BOM because they are both congruent to the same angle, not because they are vertical angles.
Step-by-step explanation:
cause I did the mastery test
Which situation could be represented by the equation-30 + 30=0 ?
Answer:30x0
Step-by-step explanation:
find the difference 78,003-32,136
Answer:
=45867
Step-by-step explanation:
[tex]\frac{\begin{matrix}\:\:&\textbf{\:\:}&7&9&9&13\\ \:\:&\textbf{7}&\linethrough{8}&\linethrough{10}&\linethrough{10}&\linethrough{3}\\ -&\textbf{3}&2&1&3&6\end{matrix}}{\begin{matrix}\:\:&\textbf{4}&5&8&6&7\end{matrix}}[/tex]
Which expression is equivalent to (m8n4)4? Options:
m^12n^8
m^4n
m^2n
m^32n^16
Answer:
[tex] = { \tt{ {( {m}^{8} {n}^{4}) }^{4} }} \\ = { \tt{ {m}^{(8 \times 4)} \times {n}^{(4 \times 4)} }} \\ = { \boxed{ \boxed{ \tt{ {m}^{32} {n}^{16} }}}}[/tex]
i need help with the plotting and bottom questions pls
All the data points are plotted on the number line and mentioned clearly as an image with the solution.
What is a number line?
A number line is a visual depiction of numbers on such a straight line created either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on those when they are written down on a number line. A number line is thought to begin at zero (0).For easy plotting on the number lines and for comparison of points, we will be converting all the fractions into decimals.
Kloee : [tex]3\frac{1}{4} = \frac{13}{4} =3.25[/tex]
High School :1.0
Middle School : 1.5
Football field : 5.7
KB: [tex]-4\frac{1}{8} = \frac{-33}{8} =-4.125[/tex]
Ben : -2.65
All the data points are plotted on the number line and mentioned clearly as an image with the solution.
(a) Distance between Ben and Kloee - 5.9
Plotted on the number line and mentioned clearly as an image with the solution.
(b) Distance of middle school from football field- 4.2
Plotted on the number line and mentioned clearly as an image with the solution.
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What is the area of a triangle with the vertices (1,0), (6,0), and (3,8)?
Answer: 20
Step-by-step explanation:
19.44 is what percent of 54
Answer:
36%
Step-by-step explanation:
19.44 = ( ? percent ) × 54
This is the question in an equation form :
Divide both sides by 54 :
19.44 ÷ 54 = (? percent )
0.36 = ? percent
0.36 as a percentage is
0.36 ×100 = 36%
Hope this helped and have a good day
When the coffee is brewed according to directions, a pound of coffee beans yields 50 cups of coffee 14 cups = 1 qt2. how many kg of coffee are required to produce 200 cups of coffee?
1.738 kg of coffee are required to produce 200 cups of coffee.
What is Proportion?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.
Now it is given that,
1 pound of coffee yield 50 cups.
Since 1 pound = 0.4535 kg
Therefore, 0.4535 kg of coffee yield 50 cups.
Let x be the kgs of coffee that yields 200 cups of coffee.
Thus by proportion we can write,
0.4345 / 50 = x / 200
By cross multiplication we get,
50 x = 0.4345 * 200
⇒ 50x = 86.9
⇒ x = 86.9 / 50
⇒ x = 1.738 kgs
which is the required amount of coffee need to yield 200 cups.
Thus, 1.738 kg of coffee are required to produce 200 cups of coffee.
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Helpppppppppppppppppppppppppppp
Solve the following equation and inequality.
5(2x+3)=35
3x-4>17
Answer: Ok I don’t have the answer but I have an example!
Step-by-step explanation: Solve for x and check: x + 5 = 3. Solution.
I hope this help maybe it might or might not give you the answer for your question I tried. ✨I hope this help!✨
An angle that has a measure of 75 is congruent to an angle that has a measure of (6x + 69.06) deg What is the value of x?
Answer:
5.94
Step-by-step explanation:
75 - 69.06 = x
x = 5.94
The marching band is holding a fundraiser. The band is selling t-shirts for $20 and yearbooks for $24. The goal is to sell at least $2,400 in merchandise. Which of the following is a solution to this scenario?
50 t-shirts and 59 yearbooks
51 t-shirts and 57 yearbooks
60 t-shirts and 48 yearbooks
62 t-shirts and 48 yearbooks
The answer to this question is 50 t-shirts and 59 yearbooks
We get that the solution to this scenario will be 50 t-shirts and 59 yearbooks.
Selling price of t shirts = $ 20
Selling price of year books = $ 24.
Let the number of t shirts sold be x and the number of yearbooks sold be y.
Goal to sell at least = $ 2400 in merchandise.
So, we get the equation as:
20 x + 24 y ≥ 2400
5 x + 6 y ≥ 600
Now, we are given some options:
50 t-shirts and 59 yearbooks
Substituting it, we get that:
5 ( 50) + 6 ( 59) ≥ 600
250 + 354 ≥ 600
604 ≥ 600
which is true.
51 t-shirts and 57 yearbooks
Substituting it, we get that:
5 ( 51) + 6 ( 57) ≥ 600
255 + 342 ≥ 600
597 ≥ 600
which is not true
60 t-shirts and 48 yearbooks
Substituting it, we get that:
5 ( 60) + 6 ( 48) ≥ 600
300 + 288 ≥ 600
588 ≥ 600
which is not true
62 t-shirts and 48 yearbooks
Substituting it, we get that:
5 ( 62) + 6 ( 48) ≥ 600
310 + 288 ≥ 600
598 ≥ 600
which is not true.
Therefore, we get that the solution to this scenario will be 50 t-shirts and 59 yearbooks.
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Answer:
50 tshirts and 59 yearbooks is the correct answer.
Step-by-step explanation:
Depreciation for the current year includes equipment $3100. The accumulated depreciation equipment unadjusted balance of December 31 is $6700
The value is 3600
According to question ,
given that, Depreciation for the current year is $ 3100
accumulated depreciation equipment is $ 6700
Unadjusted balance of December
6700 - 3100 = 3600
Depreciation is the process of deducting the total cost of something expensive you bought for your business. But instead of doing it all in one tax year, you write off parts of it over time. When you depreciate assets, you can plan how much money is written off each year, giving you more control over your finances.
Formula: (asset cost – salvage value) / useful life
explain the formula: You divide the cost of an asset, minus its salvage value, over its useful life. That determines how much depreciation you deduct each year.
Accumulated depreciation is the total amount an asset has been depreciated up until a single point. Each period, the depreciation expense recorded in that period is added to the beginning accumulated depreciation balance
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PLS ANSWER ALL OF THE QUESTIONS IN ORDER
The the required value of function of the expression when x equal to 5 i.e f(5) is 167.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The given expression is
f(x) =[tex]7x^{2} -8[/tex]
We have to find the value of f(5).
According to given question we have
f(x) =[tex]7x^{2} -8[/tex]
Put the value of x= 5 in the given function we get,
f(x) =[tex]7x^{2} -8[/tex]
f(5) =[tex]7(5)^{2} -8[/tex]
After simplifying we get
f(5)=167
Therefore, the required value of function of the expression when x equal to 5 i.e f(5) is 167.
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Astronauts brought back 500 lb of rock samples from the moon.how many kilograms did they bring back?1 kg = 2.20 lb227 kg227 kg498 kg498 kg500 kg500 kg1,100 kg
Astronauts brought back 500 lbs rock samples from the moon they brought back 227 kilograms of sample. The correct option is D.
Who, in brief, is an astronaut?
A space traveler is referred to as an astronaut. The term "astronaut" is currently used to designate to anyone traveling on a spaceship, including civilians, whereas it was previously reserved for military-trained experts.As the astronaut brought 550 lbs sample,
2.20lbs = 1 kg.
1 lbs = 1/2.20
1 lbs = 0.45
so, 500 lbs nearly implies 227kgs.
Thus, the correct option is D.
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Evaluate each function.
41) k(t)=t-4; Find (10)
The value of k(10) is 6.
A function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has precisely one output and the output can be linked to its input.A relationship between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.Each function has a range, co-domain, and domain. The given function is k(t).k(t) = t-4Here, the value of k(t), depends upon the value of 't'. k(t) is the dependent variable whereas 't' is the independent variable. Substitute the value of 't' by 10.k (10) = 10-4k (10) = 6To learn more about functions, visit :
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How do answer this question?
Answer:(0,4)
Step-by-step explanation:
Answer:
(-5, -1)
Step-by-step explanation:
What will be the value of f(k)?
4x² - 6x +7
Answer: f(k)=4k² - 6k +7
Step-by-step explanation:
f(x)=4x² - 6x +7
f(k)=4k² - 6k +7
Which data type is used to store real numbers (numbers with decimal values) such as 3.2, 5.67 and 48.42?
The float type of data stores real numbers (numbers with decimal values) such as 3.2, 5.67 and 48.42.
What is data- type?A data type, in programming, is a classification that specifies which type of value a variable has and what type of mathematical, relational or logical operations can be applied to it without causing an error.
All number types that allow for the possibility of a fractional component, such as 42.7 or pi, are known as floating point types.
The precision of various floating point data types varies depending on how many bits are utilized to represent the digits, which is directly proportional to the total number of bits in the number. In the IEEE standard, for instance:
Single precision floats have a range of around 10-38 to 1038 with a precision of about 7 decimal digits using a total of 32 bits and 24 bits for the digits.Double precision floats, commonly referred to as doubles, have a precision of about 16 decimal digits and a range of roughly 10^-308 to 10^308. They require 64 total bits and 53 bits for digits.Quadruple precision floats, Quad doubles, sometimes known as double doubles, have a precision of about 34 decimal digits and a range of roughly 10^-4932 to 10^4932 using 128 total bits and 113 bits for the digits.Hence, the type of data is floating point.
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What transformations of the graph of (x)=|x| are applied to graph the function g?
The function g(x) = - |x| + 2 is the result of applying a reflection about the x-axis and a translation 2 units up.
What transformation must be applied to modify the absolute value function?
In this problem we find a resulting expression, that is, the function g(x) = - |x| + 2. This is the result of a sequence of rigid transformations done on the parent absolute value function, that is, the function f(x) = |x|. Rigid transformations are transformations applied on functions such that Euclidean distance is conserved in the entire function.
After a quick inspection, we find that two rigid transformations were used in the following order:
Reflection around the x-axis.Translation 2 units up.Now we proceed prove this procedure:
f(x) = |x|
Step 1
f'(x) = - |x|
Step 2
g(x) = - |x| + 2
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PLEASE HELP!
Beth is solving this equation: 1/3 + 3 = 3/x
She says “I can multiply both sides by x and get the linear equation 1 + 3x = 3, whose solution is x = 2/3 ."
Which of the following statements makes this a correct argument, or shows that it is incorrect? Select all that apply.
You cannot multiply both sides by x because you do not know what x is.
After multiplying both sides by x you need to subtract 1 from both sides.
You can assume x does not equal 0 because both sides are undefined is x = 0.
The equation is not linear, so you cannot use the methods normally used for solving linear equations.
Answer:
x= 0.9
step-by-step explanation:
LCM=3x
use the lcm to multiply each term
3x×1/3+3x×3=3x×3/x
cancel out
x+9x=9
10x=0
divide both side by the coefficient of x
10x/10=9/10
x=0.9
The numbers of students in the four
sixth-grade classes at Northside School are 26,
19, 34, and 21. Use properties to find the total
number of students in the four classes.
The total number of students in the four classes is 100 students.
How to compute the value?From the information, the numbers of students in the four sixth-grade classes at Northside School are 26, 19, 34, and 21.
Therefore, the total number of students will be:
= 26 + 19 + 34 + 21
= 100
Therefore there are 100 students.
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In a population of 200 mice brown fur is dominant to gray fur. of 120 of the 200 mice have brown fur, what is the frequenzy?
The frequency of mice that are heterozygote is 0.3492
It is required to find the frequency.
What is frequency?The number of waves that pass a fixed point in unit time being, measured in hertz(Hz).The number of cycles or vibrations undergone during one unit of time by a body in periodic motion.
Given:
Population =200 mice
Gray fur mice= 120 mice
By the use of Hardy-Weinberg equation we have,
Hardy-Weinberg equation is given by
p² + 2pq + q² = 1 and p + q = 1
where, 2pq is the heterozygote frequency.
p² = 120/200
p = 0.7746
p + q = 1
q = 0.2254
Heterozygote frequency = 2pq = 2(0.2254)(0.7746) = 0.3492
Therefore, the frequency of mice that are heterozygote is 0.3492.
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