Answer:
3h+7/h
Step-by-step explanation:
the parenthesis in g(4+h) is saying that is x. plug in 4+h in the x and evaluate.
so you would get 3(4+h)-5. distribute the 3 and get 12+3h-5. combine like terms to get 3h+7!
then it's just over h because you can't simplify anymore. so the real answer is 3h+7/h!!
Each side of a quilt square measures approximately 4.25 inches. If there are about 2.54 centimeters in 1 inch, how long is each side of the square in centimeters? Express your answer using the appropriate level of accuracy and use complete sentences to explain your reasoning.
Answer:
Each side of the square in centimetres = 10.80 centimetres
Step-by-step explanation:
To convert from one unit to another or in between units we make use of conversion factors or conversion formulas
The conversion factor for the conversion of units in centimetres to units in inches is given as about 2.54 centimetres being equivalent to 1 inch
Therefore;
1 inch = 2.54 centimetres
4.25 inches = 2.54 × 4.25 = 10.795 ≈ 10.80 centimetres
Therefore, each side of the square in centimetres = 10.80 centimetres.
PLEASE HELP! 20 POINTS 1) A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the function H(t)=−4.9t2+25t+2. What is the height of the ball at each second from 0 to 5? (I'll put a picture of the graph.) 2) Which expression could represent the height of a soccer ball as it is in the air after being kicked? (This is part 2 to question 1) A. −16t+9 B. −16t2+4t3 C. 9t2+25t D. −16t2+25t+1
Answer:
1) The height of the ball from 0 to 5 seconds are;
At t = 0 second, height = 2
At t = 1 second, height h = 22.1
At t = 2 seconds, height h = 32.4
At t = 3 seconds, height h = 32.9
At t = 4 seconds, height h = 23.6
At t = 5 seconds, height h = 4.5
2) The correct option is;
D. -16·t² + 25·t + 1
Step-by-step explanation:
1) The equation of motion of the ball is given as follows;
H(t) = -4.9·t² + 25·t + 2
The height of the ball from 0 to 5 seconds are;
H(0) = -4.9×(0)² + 25×(0) + 2 = 2
H(1) = -4.9×(1)² + 25×(1) + 2 = 22.1
H(2) = -4.9×(2)² + 25×(2) + 2 = 32.4
H(3) = -4.9×(3)² + 25×(3) + 2 = 32.9
H(4) = -4.9×(4)² + 25×(4) + 2 = 23.6
H(5) = -4.9×(5)² + 25×(5) + 2 = 4.5
Therefore, we have;
The height of the ball are
At t = 0 second, height = 2
At t = 1 second, height h = 22.1
At t = 2 seconds, height h = 32.4
At t = 3 seconds, height h = 32.9
At t = 4 seconds, height h = 23.6
At t = 5 seconds, height h = 4.5
2) Given that the equation of the ball is that of a projectile motion, such as follows;
h = h₀ + v₀·sin(θ₀)·t - 1/2·g·t² which is equivalent to h = -1/2·g·t²+ h₀+v₀·sin(θ₀)·t
it is best represented by the quadratic equation of an upside down parabola which is option D. -16·t² + 25·t + 1
Find the measure of c. A. 40 B. 70 C. 90 D. 50
Answer:
D. 50
Step-by-step explanation:
a = 90° (angle subtended in semicircle)
a + c + 40° = 180° (by angle sum postulate of a triangle)
90° + c + 40° = 180°
c + 130° = 180°
c = 180° - 130°
c = 50°
The measure of angle c will be 50 degrees. so option D is correct.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Consider an arc of a circle.
Suppose it subtends θ angle on the rest of the part of the circumference (at any point). Then it subtends 2θ angle on the center of that circle.
a = 90° (angle subtended in semicircle)
a + c + 40° = 180° (by angle sum postulate of a triangle)
90° + c + 40° = 180°
c + 130° = 180°
c = 180° - 130°
c = 50°
Therefore, the measure of angle c will be 50 degrees. so option D is correct.
Learn more about the triangles;
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nancy has 167 dollars to spend on 8 books. after buying them she had 15 dollars. how much did each book cost
Answer:
Nancy spent $19 on each book. Hope I helped you.
PLEASE HELP FAST!!! While bisecting a line segment, Kara has just drawn two arcs, one passing through each endpoint. Which of the following should she do next?(1 point)
Kara should draw the line segment.
Kara should now open the compass a little wider than half the length of the segment.
Kara should plot points where the arcs intersect above and below the line segment.
There is nothing left to do, as Kara has finished bisecting the line segment
Answer:
Kara should plot points where the arcs intersect above and below the line segment.
Step-by-step explanation:
The bisection of a line segment is the dividing of the line segment into two equal parts. To bisect a line segment, you have place your compass on the endpoints and measure a distance greater than half of the segment. The point of intersection of the arcs both above and below the segment is then joined thereby bisecting the line.
Since Kara has already drawn the two arcs which are greater that half of the length, all Kara needs to do is plot points where the arcs intersect above and below the line segment.
OA) 30°
O B) 60°
D) 50°
OC) 90°
Answer:
A
Step-by-step explanation:
We know that the sum of interior angles in a triangle is 180°. Looking at ΔWYZ, we can write:
? + 75 + 75 = 180
? + 150 = 180
? = 30°
The three inside angles of a triangle need to equal 180 degrees.
You are given the bottom two angles.
75 + 75 = 150
WYZ = 180 - 150 = 30
The answer is 30 degrees.
PLEASEEEEE
Find the value of z. A. 188 B. 86 C. 94 D. 172
Answer:
B. 86
Step-by-step explanation:
Arc degrees corresponds with their angle degree.
Step 1: Find m∠Z using Definition of Supplementary Angles
m∠Z = 180° - 94°
m∠Z = 86°
Step 2: Find measure of arc degree z
m∠Z = 86°
Arc degree = angle degree
Arc Z = 86°
The answer is "Option B" its calculation can be defined as follows:
An arc of a circle would be any section of the circle's circumference.
Remember that the area of a circle equals the distance from around the circle.
Finding the measure of arc degree z
As a result, you can say that the circumference of a circle is indeed the circle's complete arc.
Angle degrees and arc degrees are connected.
Find [tex]m\angle Z[/tex] by applying the Definition of Supplementary Angles:
[tex]m\angle Z = 180^{\circ} - 94^{\circ}\\\\m \angle Z = 86^{\circ}\\\\[/tex]
[tex]m\angle Z = 86^{\circ}\\\\[/tex]
[tex]\therefore\\\\[/tex]
Arc degree = angle degree
[tex]Arc\ Z = 86^{\circ}[/tex]
Therefore, the "Option B" is the correct answer.
Learn more:
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PLEASE HELP ME VERY QUICKLY! IM SO CONFUSED.
Answer:
∠ABC = 34°
∠DBC = 44°
Step-by-step explanation:
The angle sum theorem tells you ...
(5x+4) +(5x-6) = 78
10x = 80 . . . . . . . . . . add 2 and simplify
x = 8
Then the two angles are ...
∠ABC = 5(8) -6 = 34°
∠DBC = 5(8) +4 = 44°
In this activity, you'll create a linear equation to represent a real-world situation and then use it to solve a problem. Read the situation, and then answer the questions that follow.
Answer:
Price of copy = $5
Step-by-step explanation:
Situation:
Tommy purchases five copies and five pencils. He gives $130 to the shopkeeper.
If the price of a pencil is $13, find the price of a copy.
Assume
Number of copy = 5
Number of pencil = 5
Price of copy = x
Price of Pencil = $13
So,
5(x) + (5)(13) = 130
6(x) + 65 = 130
x = 5
So,
Price of copy = $5
Can you help me with this derivatives? Thanks
Assuming a is constant and you want the derivatives with respect to t, we have by the chain rule
[tex](a\cos^3t)'=3a\cos^2t(\cos t)'=-3a\cos^2t\sin t[/tex]
[tex](a\sin^3t)'=3a\sin^2t(\sin t)'=3a\sin^2t\cos t[/tex]
Then for the second derivatives, we use the chain and product rules together:
[tex](a\cos^3t)''=(-3a\cos^2t\sin t)'=-6a\cos t\sin t(\cos t)'-3a\cos^3t[/tex]
[tex](a\cos^3t)''=3a\cos t(2\sin^2t-\cos^2t)[/tex]
[tex](a\sin^3t)''=(3a\sin^2t\cos t)'=6a\sin t\cos t(\sin t)'-3a\sin^3t[/tex]
[tex](a\sin^3t)''=3a\sin t(2\cos^2t-\sin^2t)[/tex]
Which expression is equivalent to 30x−10?
Answer:
10 (3 x - 1)
Step-by-step explanation:
postulate definition
Answer:
suggest or assume the existence, fact, or truth of (something) as a basis for reasoning, discussion, or belief.
Step-by-step explanation:
Answer:
Postulate means a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. It means that something may be true.
Step-by-step explanation:
Can't really explain a definition :v
The function () is shown in this graph.
Answer:
Hey there!
The slope of f(x) is less than the slope of g(x).
For g(x) the slope is -5 and for f(x) it is -2.
Let me know if this helps :)
Collect population of states of India or of 10 large cities or of 10 countries and write them in words/Indian/ International both.
Step-by-step explanation:
Indian States
Rajasthan Madhya Pradesh Maharashtra Uttar Pradesh Gujarat Karnataka Andhra Pradesh Odisha Chhattisgarh Tamil Nadureplace __ in 2/7=8/?
Answer:
_ is equal to 28
Step-by-step explanation:
numerator is multiplied by 4, therefore, due to the equal sign, the denominator must also by multiplied by 4
hope you understand...............................................................................
The 2nd and 3rd terms in the following algebraic sequence are x and y. Write down algebraic expressions for the first, fourth and fifth terms.
Answer:
see explanation
Step-by-step explanation:
To obtain a term in the sequence add the previous 2 terms, that is
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + [tex]a_{n-2}[/tex] ← in general terms
(a)
Given 1 4 5 9 14
Then the next 2 terms are 9 + 14 = 23 and 23 + 14 = 37
(b)
Given a₄ = 30 and a₅ = 49 , then
a₃ = 49 - 30 = 19
a₂ = 30 - 19 = 11
a₁ = 19 - 11 = 8
Sequence is 8 11 19 30 49 ....
(c)
Given a₂ = x and a₃ = y , then
a₁ = y - x
a₄ = a₃ + a₂ = y + x
a₅ = a₄ + a₃ = y + x + y = 2y + x
What is 1 plus 1 minus 1 times 1 times 1 subtract 1 plus 1 times 1 divided by 1 times 1 divided by 1 subtract 1 plus 1 plus 1 divided by 1?
Answer quick pls
Answer:
zero
Step-by-step explanation:
The CORRECT answer is 2.
(I feel like that's obvious) :/
A number y decreased by 11 is 4 HELP!!!!!!!!!!!!!!
Answer:
equation is y-11 =4
so the number is 15. thats all
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
The diagonals of a rhombus are 16cm and 12cm long.Calculate the length of its side
Answer:
10 cm
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other.
All sides are congruent.
The diagonals divide the rhombus into 4 congruent right triangles.
Applying Pythagoras' identity to 1 of the triangles with legs 6 and 8 and hypotenuse the side s of the rhombus, then
s² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
s = [tex]\sqrt{100}[/tex] = 10
There are 3 triangles 6 squares what is the simplest ration of the triangles to total shape
Answer:
it either can be 3:6 or 6:3 but I think its 3:6
Answer:
1 : 3.
Step-by-step explanation:
The total number of shapes is 3 + 6 = 9.
So triangles : total shapes = 13 : 9
= 1 : 3.
Which sets of numbers contain whole numbers? Check all that apply. Negative 2 and StartFraction 5 Over 6 EndFraction, negative 54, negative 4, negative 57 Negative 89, 79, StartFraction 6 Over 9 EndFraction, negative 19 Two-thirds, StartFraction 2 Over 4 EndFraction, 0, StartFraction 2 Over 7 EndFraction Negative 3, negative 2, negative 7, negative 8 StartFraction 1 Over 8 EndFraction, Negative StartFraction 4 Over 8 EndFraction, 1 and StartFraction 3 Over 8 EndFraction, negative StartFraction 7 Over 8 EndFraction
Answer:
The whole numbers are 0 and 79.
Step-by-step explanation:
The numbers provided are as follows:
[tex]-2\frac{5}{6},\ -54,\ -4,\ -57,\ -89,\ 79,\ \frac{6}{9},\ \\\\-19\frac{2}{3},\ \frac{2}{4},\ 0,\ \frac{2}{7},\ -3,\ -2, -7,\ -8,\ \\\\\frac{1}{8},\ -\frac{4}{8},\ 1\frac{3}{8},\ -\frac{7}{8}[/tex]
Whole numbers are a set of natural positive numbers and 0. This set basically consists of counting discrete numbers.
Such as: 0, 1, 2, 3, 4, 5....
From the provided set of numbers the whole numbers are:
S = {79 and 0}
Thus, the whole numbers are 0 and 79.
Answer:
it's B and C
Step-by-step explanation:
Which operation must be used to solve this equation?
x – 5 = 23
A: Addition
B: Subtraction
C: Multiplication
D: Division
Answer:
addition
Step-by-step explanation:
as x=23+5
x=28.
I think so this is the ans.
Find the quotient of (9a²b+6ab?): 3ab
Answer:
3a + 2
Step-by-step explanation:
(3a + b)·(3ab) = (9a²b+6ab)
not sure why there is a question mark in the expression?
PLEASE ANSWER ASAP!
Which of the following is true?
A.100 x 1,000 = 107
B.10 x 1,000 = 105
C.0.01 x 103 = 100
D.0.001 x 105 = 100
Answer:
None of the options are true.
Step-by-step explanation:
We are given with the following parts;
A. 100 x 1,000 = 107
B. 10 x 1,000 = 105
C. 0.01 x 103 = 100
D. 0.001 x 105 = 100
The first statement that 100 x 1,000 = 107 is false because the multiplication of the numbers 100 and 1,000 gives the result of 100,000 but in question; it is written as 107, So, this is false.
The second statement that 10 x 1,000 = 105 is false because the multiplication of the numbers 10 and 1,000 gives the result of 10,000 but in question; it is written as 105, So, this is false.
The third statement that 0.01 x 103 = 100 is false because the multiplication of the numbers 0.01 and 103 gives the result of 1.03 but in question; it is written as 100, So, this is false.
The fourth statement that 0.001 x 105 = 100 is false because the multiplication of the numbers 0.001 and 105 gives the result of 0.105 but in question; it is written as 100, So, this is false.
Hence, all the statements are false.
please someone help me . ?2^3(2-4)+5(3-8)
The world record for the greatest temperature range recorded in one day occurred in Browning,Montana in 1916.The temperature fell from 44°F to -56°F.What was the temperature change that day?
Answer:
-100 F
Step-by-step explanation:
At a restaurant, a survey was conducted to find which beverage the customers preferred. In the survey, every woman customer was asked which beverage was her favorite. Were the results of the survey valid
Answer: No, because the sample was not random.
Step-by-step explanation:
For the results to have been valid, the sample would have had to be random meaning that only some of the people were chosen to participate at random.
Instead, EVERY woman customer was asked which means they were not chosen at random as they should have been. Also, they only surveyed women when they should have taken a proper sample consisting of all customers.
Answer:
No, because the sample was not random.
Step-by-step explanation:
The average speed to go by car from home to college is 30 miles per hour. The average speed to go back home from college is 20 miles per hour because of traffic. If the college is 60 miles from home, what is the average speed for the entire round trip? What is the average speed if the college is 40 miles from home?
Answer:
24 mph for both 60 miles and 40 miles.
Step-by-step explanation:
We need to find how long it takes to get to college and from it.
Speed x time (x) = Distance (60)
30x = 60
x=2
It takes two hours to get to college
20x = 60
x = 3
It takes 3 hours to get back. It's a total of 5 hours, 2 hours at 30mph and 3 at 20. Now we need to find the average
30+30+20+20+20=120
120/5= 24
The average speed for the round trip is 24.
To do the second part, we follow the same process, but replace 60 with 40 for distance.
30x=40
x= 1.33
20x=40
x=2
We can add the total distance and divide by total time to find the average.
The total distance is 80. Time is 3.33
80/3.33=24
The average speed is still 24.
Find the coordinates of the image of (1, 4) under
(a) a clockwise rotation of 90° about (0,0).
(b) a reflection in the line y=x,
(c) a translation which maps (5,3) onto (1,1).
plz help!
will give the brainliest!
Urgent!!
Answer:
a) (4,-1)
b) (4,1)
c). (6,4)
Between which two consecutive whole numbers does \sqrt{78} 78 lie? Fill out the sentence below to justify your answer and use your mouse to drag \sqrt{78} 78 to an approximately correct location on the number line.
Answer:
A. 8 and 9
Step-by-step explanation:
Between which two consecutive whole numbers does √ 78 lie?
a.
8 and 9
b.
6 and 7
c.
9 and 10
d.
7 and 8
A. 8 and 9
8^2 = 8 × 8 = 64
9^2 = 9 × 9 = 81
B. 6 and 7
6^2 = 6 × 6 = 36
7^2 = 7 × 7 = 49
C. 9 and 12
9^2 = 9 × 9 = 81
12^2 = 12 × 12 = 144
D. 7 and 8
7^2 = 7 × 7 = 49
8^2 = 8 × 8 = 64
The correct answer is A. 8 and 9