Answer:13
Step-by-step explanation:51 goes into 66 one time so 66-51=15
then 153/51=3 so 13
Step-by-step explanation:
51 goes into 66 one time so 66-51= 15 then 153/51 = 3 so 13
The height of an object off the ground, h (in feet) t seconds after it is launched into the air is given by
h(t) = −16t2 + 96t, 0 ≤ t ≤ 6.
Find the average rate of change of h over the interval
[3, 6].
( ) feet per second
Interpret your result.
During the last three seconds of the objects's time in the air, it is
falling at an average rate of (. )feet per second.
The average rate of change of h over the interval is -48 feet per second.
Given,
The height of an object off the ground, h (in feet) t seconds after it is launched into the air is given by
h(t) = −16t2 + 96t, 0 ≤ t ≤ 6.
We need to find the average rate of change of h over the interval [3, 6].
How do we find the average rate of change of a function over an interval?If we have an interval [a, b] and a function f(x).
The rate of change is given by:
= f(b) - f(a) / b - a
We have,
h(t) = −16t² + 96t and [3, 6].
h(6) = -16 x 6² + 96 x 6 = -576 + 576 = 0
h(3) = -16 x 3² + 96 x 3 = -144 + 288 = 144
The average rate of change of h is:
= h(6) - h(3) / 6 - 3
= 0 - 144 / 3
= -144 / 3
= -48
Thus the average rate of change of h over the interval is -48 feet per second.
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Can someone tell me the answer pls
Step-by-step explanation:
a normal function expresses y (the functional result) in terms of x (and constants).
we need to transform this to express now x in terms of y (and constants).
at the end we only rename x into y and y into x to make it an actual function.
h(x) = y = (-5x + 6)/(3x + 4)
y(3x + 4) = (-5x + 6)
3xy + 4y = -5x + 6
4y - 6 = -5x - 3xy = x(-5 - 3y)
x = (4y - 6)/(-5 - 3y)
and after renaming we get therefore the function
y = h-1(x) = (4x - 6)/(-3x - 5)
D. Highway I-10 is having an extension added
on. It will then be 3,000 miles long. How long
is the extension?
I-10 2,460
Answer:
the extension is 540 miles long
Step-by-step explanation:
I-10=2460
2460+x=3000
subtract 2460 from both sides
x=540
the extension is 540 miles long
P ( A ) = 0.67 , P(A∪B)=0.89 and ( B ) = 0.54 . Find P(A∪B′) P ( A ∪ B ′ ) . Give an exact answer as a decimal
The value of the probability P(A u B') is 0.8218
How to determine the probability?The given parameters are
P(A) = 0.67
P(B) = 0.54
P(A u B) = 0.89
From the above parameters, we have
P(B') = 1 - P(B)
P(B') = 1 - 0.54
P(B') = 0.46
So, we have
P(A u B') = P(A) + P(B') - [P(A) * P(B')]
This gives
P(A u B') = 0.67 + 0.46 - (0.67 * 0.46)
Evaluate
P(A u B') = 0.8218
Hence, the value of the probability P(A u B') is 0.8218
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Add: 1/(x-3) + 4/(x+5)
Simplify answer
The expression can be simplified as 4x-12/x-3
How to simplify the expression ?The expression is
1/(x-3) + 4/(x+5)
= (x+5) + 4(x-3)/(x-3)(x+5)
= 4x-12/x-3
Hence the expression can be simplified as 4x-12/x-3
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write an expression equilavant to a + a + a + a + a + a + a
Hello,
[tex]a + a + a + a + a + a + a= 7 \times a = 7a[/tex]
Answer:
7a
Step-by-step explanation:
0.4 x 0.17 i need a answer plsss
Answer:
0.068
Step-by-step explanation:
calculator
Answer:
0.068
0.4x0.17= 0.068
Step-by-step explanation:
Can someone help me! Please this assignment is due today.
The simplified form of the expression 5(3/5 x + 8y²) - 4x - (6y² + 10) will be 34y² - x - 10.
What is simplification?Simplicity is the quality of making anything less complicated and more manageable in terms of both execution and comprehension.
The expression is given below.
⇒ 5(3/5 x + 8y²) - 4x - (6y² + 10)
Simplify the expression, then we have
⇒ 5(3/5 x + 8y²) - 4x - (6y² + 10)
⇒ 3x + 40y² - 4x - 6y² - 10
⇒ 34y² - x - 10
The simplified form of the expression 5(3/5 x + 8y²) - 4x - (6y² + 10) will be 34y² - x - 10.
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Range of hx = 2r^2 + 20r +42
Answer: Range: hx>=-8
Step-by-step explanation:
Find the vertex first:
2r^2 + 20r +42=
2(r^2 + 20r/2 +42/2)=
2(r^2 + 10r +21)=
2(r^2 + 10r +25-4)=
2(r^2 + 5r+5r +25-4)=
2(r(r+5)+r(r+5)-4)=
2((r+5)^2-4)=
2(r+5)^2-4*2=2(r+5)^2-8 ==> Vertex: (-(5), -8) ==> (-5, -8)
-8 is when the range starts
Range: hx>=-8
(8x-14) what is the solution of x?
Answer: [ x = 2 ] is the solution to the equation.
Step-by-step explanation: (8x-14) what is the solution of x?
Please help me solve this I need a step by step solution that isn't too complicated, and I need to find an inequality that is written and the solved. Here's the question:
Neil and Yuki run a data entry service. Neil starts at 9:00am and can type 45 words per minute. Yuki arrives at 10:30am and can type 60 words per minute. Write and solve an inequality to find at what time Yuki will have typed more words than Neil. Let x represent the time in minutes.
Answer:
45*90+45*x and Yuki would have typed 60*x.
Words typed by Yuki > Words typed by Neil
45 \times 90 + 45 \times x < 90 \times x45×90+45×x<90×x
Solving above inequality would give
x > 90x>90
it means that 90 minutes after 10:30 AM
Yuki would type more than Neil.
PLS HELP!! ILL GIVE BRAINLYEST!!
The school cafeteria serves portions of fried rice that are 140 grams each.
A. If 64 portions of rice are served, how many grams of rice would that be?
B. Write an expression for the total weight in grams of rice needed for p portions.
C. One day, the total weight of rice served was 11,340 grams. How many portions were served that day?
D. Write an expression for the number of portions served if the total rice weighed t grams.
Answer:
A: 8,960
B: 140 x 64 = p
C: 81
D: im sorry but im confused on that one
Step-by-step explanation:
A: 140 x 64 = 8,960
C: 11,340 / 140 = 81 ( / = divided)
please just find the values of a and b , I can do the rest.
Step-by-step explanation:
1×1+1×1/100
1+1/100
2/100
0.02 It might be the answer
Let us consider ab as 8
(8÷1/8)^2
(8/8)^2
(8/1)
8 ANS
How do you write -4 and 4/25 as a decimal
Answer: -4.16
Step-by-step explanation:
100/25=4
-4 4/25=
-4 4*4/(25*4)=
-4 16/100= -4.16
The scale on a blueprint says that 1 cm is the equivalent of 3 ft. A particular line on the blueprint representing a wall measures 12 cm. How long should the wall be?
The scale on a blueprint says that 1 cm is the equivalent of 3 ft. A particular line on the blueprint representing a wall measures 12 cm. Wall is 36 ft long.
Given,
Scale on a blueprint says that 1 cm is the equivalent of 3 ft
1cm = 3ft
A particular line on the blueprint representing a wall measures 12 cm.
12cm = 12(3) ft
= 36ft
Wall is 36 ft long.
The act or system of measuring is referred to as measurement. It may be viewed as a procedure for utilizing numbers to define physical objects. "This rod is bigger than that rod," for instance.
Since we don't know anything about the specific characteristics of the provided rods, this statement only serves a very narrow function of comparison. However, if we claim that the first rod is 20 inches long and the second is 15 inches, the first rod will be 5 inches longer than the second. This claim provides us with support for our deduction and makes greater sense mathematically.
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Multiply and simply the resulting expression with positive exponents.
(2−4−4) · (−74−2)
Please show all of the steps for your solution.
First try was incorrect
Tarzan played a game in which he could either lose or gain points
each round. At the end of 3 rounds, he had -8 points. After one more
round, he had 12 points. Express the change in points in the most
recent round as an integer.
Answer:
20
Step-by-step explanation:
|-8 - 12| = 20
The absolute value of -8 minus 12 will show us the difference, or the change in points as in this problem
|-8 - 12| = 20
(50 points) if L||M, solve for x and y
#11 but u can try #12 too
ignore my writing i didn’t know what to do
Check the picture below.
Which are correct representations of the inequality 6x ≥ 3+ 4(2x - 1)? Select three options.
According to the given statement
Option 1 . 6x ≥ 3 + 8x - 4
2. 1 ≥ 2x
3. Option C represents the inequality drawn on the number line.
are the correct options.
What is Inequality?An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:
According to the given values;
Inequality has been given as 6x ≥ 3 + 4(2x - 1)
By solving it further,
6x ≥ 3 + 8x - 4 [Option B is the correct option]
6x ≥ 8x - 1
6x - 8x ≥ 8x - 1 - 8x
-2x ≥ -1
2x ≤ 1
1 ≥ 2x [Option A is the correct option]
x ≤ ¹/₂
Option C represents the inequality drawn on the number line.
Therefore, Options A, B and C are the correct options.
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Use the graph of the function shown below to find:
A. The value of y when x is equal to each of the following: -3, -2, 0, 2, 4.
B. The value of x when y is equal to each of the following: -1.5, 0, 2, 2.5.
C. The domain of the function.
D. The range of the function.
Part A: 0, 2.4, 2.4, 1, 2
Find the y coordinate of the point on the graph with the given x coordinate.Part B: -2.5, 6, 0.5, N/A
Find the x coordinate of the point on the graph with the given y coordinate.
Part C: [-3, 7]
The domain is the set of x values.Part D: [-1, 2.4]
The range is the set of y values.A. The value of y, when x is equal to -3, -2, 0, 2, 4, is 0, 2.4, 2.4, 1, 2 respectively.
B. The value of x, when y is equal to -1.5, 0, 2, is -2.4, -3, and 4 respectively.
C. The domain of the function is {-3, -2, 0, 2, 4}.
D. The range of the function is {0, 1, 2.4}.
A. To find the value of y at x is equal to -3, -2, 0, 2, 4 is found by the graph given.
x: -3 -2 0 2 4
y: 0 2.4 2.4 1 2
B. To find the value of x at y is equal to -1.5, 0, 2, is found by the graph given.
y: -1.5 0 2
x: -2.4 -3 4
C. The domain of a function is the set of all possible input values (in this case, x values) for which the function is defined.
From the given x values, we can see that the function is defined for all of these values: -3, -2, 0, 2, 4.
So, the domain of the function is {-3, -2, 0, 2, 4}.
D. The range of the function:
The range of a function is the set of all possible output values (in this case, y values) that the function can produce.
From the given y values, we can see that the function produces these y values: 0, 1, 2.4.
So, the range of the function is {0, 1, 2.4}.
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How many squares are in the
Answer:
10
Step-by-step explanation:
Find the equation of the horizontal line through the point (5,−5) and (5,-5).
Answer:
Step-by-step explanation:
A horizontal line is given by an equation of the form Y = b
Notice that in both points the Y coordinate is the same no matter what value you choose for x
Y = -5
HELP ITS URGENTGKHJLKGFHHB
2.) How should $90 be divided into two parts so that the second part is $30
less than twice the first part?
Select all the correct figures.
Which figures have rotational symmetry?
sells pens with a company's logo printed on the pens. Writing World charges a standard price per box of pens when the customer purchases 200 or fewer boxes. Each box over 200 that the customer purchases is sold at a discounted rate. A customer purchases x boxes of pens,where x ≥ 200. The average cost of a single box of pens purchased by this customer is 1600+6(x-200) represented by X What is the meaning of the parts of this rational expression in the context of the situation?
Explain why 0+a=a. ?
Answer:
any number or letter added to zero results in the number itself
Step-by-step explanation:
In which set of number would you fibe the number
-153 would lie in the sets of real number which is option (A) .
A real number is a number that includes both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions (1/2, 2.5), and irrational numbers such as √3 and π(22/7) are all real numbers.We have given a number -153 which is an integer and it can be written in the form of [tex]\frac{p}{q}[/tex] where q is not equal to 0 .Hence , it is an rational number also and integer and rational number constitute together to form real numbers.
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The complete question is mention below :
In which set of number would you find the number -153
(A) real number
(B) natural number
(C) whole number
(D) irrational number
(E) integer
(F) rational number
The triangle below is reflected about the y-axis and then translated 4 units to the left.
The resulting triangle isA A'B'C' . What is the measure of angle C'?
1. 35°
2. 55°
3. 63°
4. 125°
Answer:
55⁰
Step-by-step explanation:
a + b + c = 180⁰
35⁰ + 90⁰ + c⁰ = 180⁰
125⁰ + c⁰ = 180⁰
180⁰ - 125⁰ = 55⁰
c = 55⁰
Darren is copying abc first,he constructs de as a copy of ab.next he constructs d as a copy of a,using de as one of the sides.
The discussion is shown below:
What is Construction?Geometric constructions help us to draw lines, angles, and shapes with simple tools.
Given:
A copy of triangle ABC is drawn
He has constructed an angle D and side DE. All he needs to do is constructed another edge.
The process for constructing is to start with point D and create a ray with angle D to point DE.
In order to cross the ray at point F, draw a line parallel to AB.
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