Grant reads as part of his homework each week. - he must read for at least 4 hours each week as part of his homework. - This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers,n,of hourse he could read on each of the 5 weekdays this week. The graph is shown. PLEASE HELP ME
Answers
A statement which best describes the solution set of the given inequality 5n + 1.5 ≥ 4 is: C. all rational number values of n that are at least 0.5.
What is a rational number?In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 12, 0.5, √16, etc.
Next, we would translate the word problem into algebraic inequality and then solve for the value of n as follows;
5n + 1.5 ≥ 4
Subtracting 1.5 from both sides of the algebraic inequality, we have:
5n + 1.5 - 1.5 ≥ 4 - 1.5
5n ≥ 2.5
Dividing both sides of the algebraic inequality y 5, we have:
n ≥ 2.5/5
n ≥ 0.5
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Complete Question:
Grant reads as part of his homework each week. he must read for at least 4 hours each week as part of his homework. This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers, n, of hours he could read on each of the 5 weekdays this week. The graph is shown.
Which describes the solution set of the inequality?
A. all whole number values of n that are at least 1
B. all whole number values of n that are greater than 1
C. all rational number values of n that are at least 0.5
D. all rational number values of n that are greater than 0.5
Related Questions
Two radar stations 4.3 miles apart are tracking an airplane. The straight-line distance between
Station A and the plane is 9.6 miles. The straight-line distance between Station B and the plane is 8.6
miles. What is the angle of elevation from Station A to the plane? Round the distance to the nearest
degree.
9.6 ml
Ad
4.3 mi
8.6 mi
B
Answers
Therefore , the solution to the given problem of trigonometry comes out to be angle of elevation : 62.3°.
What is trigonometry?The area of mathematics called trigonometry examines the correlation between triangle length l. The field first came into existence in the Classical world, presumably in the third-century BC, as a result of the integration of geometry with astronomy studies. Precise approaches mathematics deals with certain trigonometric equations and possible uses of them in calculations. There are six common trigonometric functions in trigonometry. They are known by their respective names and abbreviations sine, trigonometry, tangent, secant, etc. cosecant (csc). The studies of triangle aspects, particularly those right triangles, is known as trigonometry. However, studying geometry entails learning about all polygons' characteristics.
Here,
given :
An aircraft is being followed by two radar stations, which are 4.3 miles apart.
Station A is 9.6 miles away from the plane in a straight line.
Thus,
To find the angle of elevation from station A to plane :
Using Trigonometric ratios:
=> Sin A = 8.5 / 9.6
=> Sin A = 85/96
=> A = [tex]Sin^{-1}[/tex](85/96 )
=> A = 62.302840124651483 °
=> A = 62.3°
Therefore , the solution to the given problem of trigonometry comes out to be angle of elevation : 62.3°.
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Darius started his baseball card collection with 7 cards that he got from his dad. He bought 1 pack of cards each month for 20 years. After 1 year he had 79 cards in his collection. Darius gave his entire collection to his son 20 years after he got it from his dad. Which of the following is the domain of the function representing the number of baseball cards in Darius’s collection?
A. 7< or = x< or = 1,580
B.7< or = x< or = 1,447
C.0< or = x
D.0< or = x< or = 20
Answers
Answer:
b
Step-by-step explanation:
Bess and Carolina and their 14 classmates write their names on cards. The teacher, Miss Scott, picks two cards without replacing the first card. What is the probability that Bess is chosen first and Carolina is chosen second?
Answers
Answer:
Step-by-step explanation:
Q
R
S
T
U
0
What can we say about V?
Choose all answers that apply:
A
V=U
B В
V = -(-V)
V is the opposite
Answers
Answer:
v= -(-v)
Step-by-step explanation:
Anybody can help me with this ?
Answers
Answer:
Because f(x)=y, begin by changing f(x) to the y-value, getting y=2x-4. Because we are determining the inverse of the equation, this means that the x and y-value should be switched, getting x=2y-4. Now that we're trying to isolate y, move 4 to the other side to get x+4=2y. Divide by 2 on both sides to get y=[tex]\frac{1}{2}[/tex]x+2. Now, we substitute y for f(x), but this time we put [tex]f^{-1}[/tex](x), because it's the inverse of f(x).
Here are the steps in order:
y=2x-4
x=2y-4
x+4=2y
x/2+4/2=2y/2
y=1/2x+2
f^-1(x)=1/2x+2
2x³ + 4x = 3
has a solution between 0 and 1
Answers
Y = 2x^3 + 4x and Y = 3.
Graphing it should you (0.627, 3) like the image below
Identify the place value of the underlined digit.
1) 0.9838.47
3) 145.58
4) 0.005
5) 31.0643
Answers
The place value of the following underlined digit are as follows:
0.983 = hundredths.8.47 = hundredths.145.58 = tens.0.005 = tenths.31.0643 = unit.What is a place value?In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsUnitTensHundredsThousands.Tens of thousands.Hundred of thousands.Millions.Tens of millions.Hundreds of millions.Billions.In this scenario, the underlined digit 8 in "0.983" has a place value of hundredths because it is located 2 places after the decimal point. Additionally, the underlined digit 4 in "145.58" has a place value of tens because it is located 2 places before the decimal point.
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Complete Question:
Identify the place value of the underlined digit.
1) 0.983
2) 8.47
3) 145.58
4) 0.005
5) 31.0643
Mhanifa please help i will mark brainliest
Answers
Answer:
Use Pythagorean:
a² + b² = c²#1x² = 16² - 8²x² = 192x = √192x = 12.73, not an integerNot a Pythagorean triple
#2x² = 40² + 9²x² = 1681x = √1681x = 41It is a Pythagorean triple (9, 40, 41)
#3x² = 6² + 13²x² = 205x = √205x = 14.32, not an integerNot a Pythagorean triple
Arya has 5 cupcakes and wants to
share them with 8 friends equally.
How many cupcakes will each frien
receive?
Answers
Each friend of Arya will receive 0.625 cupcakes.
To divide 5 cupcakes equally among 8 friends, we can use simple division. We would divide the total number of cupcakes (5) by the total number of friends (8) to find the number of cupcakes each friend would receive. In this case, 5 divided by 8 is equal to 0.625. This means that each friend will receive 0.625 cupcakes. However, since cupcakes are not divisible it is not possible to divide 5 cupcakes equally among 8 friends. In this case, either Arya will have to make more cupcakes or they will have to decide on a different way to divide the cupcakes.
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Find the square roots of 169. Then find 169 squared
Answers
Answer:
1. 13
2. 28561
Step-by-step explanation:
Answer:
The other guy said both but i know that the square root of 169 is 13!
Step-by-step explanation:
Brainlist?
Hope this helps!
Solve the system of inequalities by graphing. If there is no solution, click on "No solution".
3x+y≥3
x≤-1
Answers
:)
ggggggggggggrssdfffffffffffffffffffffffffffffffffrsssssssssshggh
What type of angles are these???
Answers
Answer:
Alternate exterior
Step-by-step explanation:
1 and 11 are on different sides which makes them alternate and they are both on the outside
The price of a computer is reduced by 17.5%
The reduced is £264
By how much is the price reduced
Answers
Answer:
To find out by how much the price was reduced, we can use the following equation:
price reduction = original price * reduction percentage
We know that the price reduction is £264 and the reduction percentage is 17.5%, so we can plug those values into the equation to get:
price reduction = £264 / 17.5%
To solve this equation, we need to express the percentage as a decimal. We can do this by dividing the percentage by 100:
price reduction = £264 / (17.5 / 100)
This simplifies to:
price reduction = £264 / 0.175
Solving this equation gives us a price reduction of £1512.
So, the original price was reduced by £1512.
Step-by-step explanation:
PLEASE HELP QUICKLY 20 POINTS
The slope is 0.
The slope is 1.
The slope is 4.
The slope is undefined.
Answers
Answer:
The slope is 0.
Step-by-step explanation:
There is no rise over run and the slope is only undefined when the line is going upwards.
wave hits an object as shown.
A vertical line with Medium 1 to the left and Medium 2 to the right. An arrow from the left reaches the line. An arrow starts from the same point on the line and goes right at a different angle.
Which kind of wave interaction is shown?
absorption
diffraction
refraction
reflection
Answers
Answer:
Refraction
Step-by-step explanation:
Since the line bends (and this can apply to light too), the line refracts, or changes the angle of direction.
Answer:
absorption
diffraction
refraction
reflection
Step-by-step explanation:
What is −30y − 15 if y is 7?
Answers
So, the value of −30y − 15 when y is equal to 7 is −225.
Answer:
-225
Step-by-step explanation:
-30*7=-210
-210-15=-225
please give brainliest
if the minimum charge of 175 calls is Rs 180 and Rs 1.50 per calls for additional calls then find the cost of calls including the charge of TSC 10% and VAT 13% as the former reading the total calls a land line phone is 5577 and the present reading 7577.Also,find the amount of payment including 20% fine
Answers
The total amount of payment for calls is Rs 648
How to find the total amount for paymentFrom the problem, the following information is deduced to help solve the problem
the minimum charge of 175 calls is Rs 180 and Rs 1.50 per calls for additional calls
The total call reading
= present reading - former reading
= 7577 - 5577
= 2000
the number of 175 calls in 2000
= 2000 / 175
= 11 3/7 approximately 12
Total cost of calls
175 calls = Rs 180 + Rs 1.50 * 12
= 180 + 1.50 * 12
= Rs 180
Adding other charges to Rs 180
= 180 * 1.1 + 180 * 1.3 + 180 * 1.2
= Rs 648
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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answers
Answer:
Answer A
Step-by-step explanation:
The coefficients of the x terms are 1, 4 and 7. Thus, the discriminant, b^2 - 4ac, is 16 - 4(1)(7) = -12 = -3·4. Because the discriminant is negative we know that there are two unequal, complex roots.
-4 ± i√3√4 -2 ±i√3
The roots are x = --------------------- =
2
This is Answer A.
one leg of a right triangle is 8 cm what could the other length be justify your answer
Answers
Answer:
6-L2
10-hypotenuse
Step-by-step explanation:
Pythagorean theorem
PLEASE HELP!! I will give brainliest!! New update because the last one had gore posted in it. Please report it is you see that, I’m so sorry.
Drag the key features to the correct location on the image.
Each key feature can be used more than once, but not all key features will be used.
Which key features are present in these three functions?
Answers
Answer:
Step-by-step explanation:
hope this helps
Find the Surface Area of the figure below
Answers
Answer:
132 [tex]cm^{2}[/tex]
Step-by-step explanation:
Triangle formula is 1/2 bh (4x3/2) is 6 (4 triangles)=24
Base is 6x8=48
sides are 6x5=30 then multiply by 2 of the sides =60
add all together
help plz (Need Help):(
Answers
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
F (- 4, - 6 ) → F' (4, - 6 )
G (- 4, - 3 ) → G' (4, - 3 )
H (- 3, - 4 ) → H' (3, - 4 )
Which set of ordered pairs does not represent a function?
1-{(0,6),(5,−4),(3,−4),(8,−6)}
2- {(6,−1),(−6,−1),(−2,−8),(−4,9)}
3-{(−3,−3),(4,1),(−3,3),(2,2)}
4-{(1,−4),(5,−7),(−3,−6),(−2,−4)}
Answers
Given:
The set of ordered pairs in the options.
To find:
The set of ordered pairs which does not represent a function.
Solution:
A set of ordered pairs represents a function if their exist a unique y-value for each x-value.
In option 3, the given set of ordered pair is:
{(−3,−3),(4,1),(−3,3),(2,2)}
Here, we have to y-values -3 and 3 for x=-3. It means the y-value is not unique for x=-3. So, this set of ordered pairs is not a function.
In option 1, 2 and 4, all the x-coordinates are different. It means their exist a unique y-value for each x-value. So, the set of ordered pairs in options 1, 2 and 4 represent a function.
Therefore, the correct opting is 3.
Can someone please answer
Answers
Answer:
6 × 1f = 6f
6 × 5 = 30
= 6f + 30
So the answer is A - 6f + 30
The two polygons are similar.Find the length of x
Answers
Answer:
x = 9.2
Step-by-step explanation:
What is the product of 3.7 x 10^3 and 1.4 x 10^6 expressed in scientific notation?
Answers
Answer:
[tex]5.18 *10^{9}[/tex]
Step-by-step explanation:
3.7 * 1.4 = 5.18
[tex]10^{6} *10^{3} = 10^{9}[/tex]
Answer:
3.7 x 10^3 and 1.4 x 10^6 = 1403700 = 1.4037 × 10^6
Step-by-step explanation:
= 1.4037 × 10^6
(scientific notation)
= 1.4037e6
(scientific e notation)
= 1.4037 × 10^6
(engineering notation)
(million; prefix mega- (M))
= 1403700
(real number
How to find the slope of a line that goes from (10,40) to (0,0)
Answers
Explanation
1. Find slope by using the slope formula (y2 - y1) / (x2 - x1). Input the values like 0-40/0-10,
2. Simplify 0-40/0-10 which simplifies to -40/-10. Cross out the negative signs since they cancel out that leaves you with 40/10.
3. 40/10 can be simplified by dividing 40 by 10, which is 4.
Pedro loves to try new adventures. His most recent was jumping out of an airplane. His special watch tells him his altitude. He set a timer at the moment he opened his parachute. His altitude relative to sea level, A, in feet, which is a function of time, in minutes, is shown in the table below.
A t
11,100 4
7200 8
3300 12
A function could be written to describe the decent:
Blank 1
= (Blank 2
)t + Blank 3
Answers
The equation of the linear function is A(t) = -975t + 15000
How to determine the equation of the functionFrom the question, we have the following parameters that can be used in our computation:
The table of values
From the table of values, we have:
A(t) t
11,100 4
7200 8
3300 12
From the above table of values, we can see that
As t increase by 4, the value of A(t) decreases by 3900
This means that the table of values is a linear relation, and the slope is
slope = -3900/4
slope = -975
A linear equation is represented as
y = mx + c
Where
slope = m
So, we have
A(t) = -975t + c
Using the points on the table, we have
11000 = -975 * 4 + c
Evaluate
c = 15000
So, we have
A(t) = -975t + 15000
Hence, the equation is A(t) = -975t + 15000
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According to your graphing calculator what is the approximate solution to the trigonometric inequality tan(x/4)<1/5 over the interval 0<= x<=2pi radians 
0<=x<0.7896
0<=x<0.9799
0<=x<0.9870
0<=x<1.2249
Answers
The graph of tan(x/4) < 1/5 over the interval 0<= x<=2pi radians is attached. An approximate solution to the trigonometric inequality tan(x/4)<1/5 over the interval 0<= x<=2pi radians is 0 <= x < 0.7896.
y = 1/5 is a horizontal straight line parallel to x-axis.
Plot of tan(x/4)<1/5 over the interval 0<= x<=2pi radians is attached. The shaded region is the solution.
tan(x/4) < 1/5
Taking tan inverse on both sides
tan⁻¹(tan(x/4)) < tan⁻¹(1/5)
x/ 4 < tan⁻¹(1/5)
Multiplying by 4 on both sides
x < 4tan⁻¹(1/5)
x < 0.7896
Applying the limits of intervals
0 <= x <= 2pi ≈ 6.28
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$14.40 for 4.5 pounds of beef
Answers
Answer:
One pound of beef is $3.2
Step-by-step explanation:
14.40 / 4.5
= 3.2
CHECK:
3.2 * 4.5
=14.40
Answer:
Step-by-step explanation:
The unit rate for this beef is:
$14.40
---------- = $3.20/lb
4.5 lb