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
Which statement is true about the geometric figure that can contain these points? No line can be drawn through any pair of the points. One line can be drawn through all three points. One plane can be drawn so it contains all three points. Two planes can be drawn so that each one contains all three points.
Answer:
C
Step-by-step explanation:
trust me
One plane can be drawn so it contains all three points. Then the correct option is C.
What are non-collinear points?Non-collinear points are multiple or more points that cannot all lie on a single straight line. The points are considered non-collinear if any one of them is not situated on the same line as the other ones.
Let n be the number of non-collinear points. Then the number of lines that can be made will be
Number of lines = ⁿC₂
And the number of planes that can be made will be
Number of planes = ⁿC₃
If there are 3 non-collinear points, then the number of lines will be
Number of lines = ³C₂
Number of lines = 3
Then the number of planes will be
Number of plane = ³C₃ = 1
One plane can be drawn so it contains all three points. Then the correct option is C.
More about the non-collinear points link is given below.
https://brainly.com/question/24250339
#SPJ2
please someone help me . ?2^3(2-4)+5(3-8)
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.
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 :)
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:
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°
Which expression is equivalent to 30x−10?
Answer:
10 (3 x - 1)
Step-by-step explanation:
Is the sum of two monomials always a monomial? Is their product alwahs a monomial?
Answer to the first question: no, the sum is not always a monomial
Consider adding 2x and 5y. Both of which are monomials. Their sum is 2x+5y. We don't have like terms, so we can't combine them. The sum is a binomial as it has 2 terms.
======================================
Answer to the second question: yes, their product is alway a monomial
Going back to 2x and 5y. Multiply those two monomials and we get 10xy as a product. This is a monomial as it is one term. If p and q are monomials, then so is pq.
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.
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:
replace __ 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...............................................................................
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:
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)
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;
https://brainly.com/question/2773823
#SPJ2
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]
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.
FOREVER CHANGED AREAS TOPIC: AREA/ MEASUREMENT Your class of 22 is lining up from recess to go back into the classroom and must maintain social distancing by remaining 180cm apart. What is the length of your line in cm and m?
We have,
Number of students = 22Distance between any two consecutive student = 180 cmTo FinD:
Length of the line in cm and m.....[tex]?[/tex]⚠️ Considering the lateral width of each student be negligible and then only considering the gap between them.
Between 2 students (Gap = 1)Between 3 students (Gap = 2).................Similarly,
Between 22 students (Gap = 21)We have, Length of Gap = 180 cm
➝ Total length of gaps = 180 cm × 21 = 3780 cm
Converting into m,
➝ 100 cm = 1 m
➝ 3780 cm = 3780 / 100 m
➝ 3780 cm = 37.80 m
⚘ Length of line:-
In cm ➝ 3780 cmIn m ➝ 37.8 m━━━━━━━━━━━━━━━━━━━━
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
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:
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 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.
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) :/
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
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
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.
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:
brainly.in/question/37245796
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
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?
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.