Round 10,6321 to the nearest thousand.
Answers
The answer is 106,000
To round up to the nearest thousand, we need to look at the thousand position, in this case, 6,321 are the digits from the thousands to the units.
Now, 6,321 is closer to 6,000 than 7,000. Then we round to 6,000 and the rest of the number reamins the same:
106,000
Related Questions
Create a polynomial of degree 6 that has no real roots. Explain why it has no real roots.
Answers
Answer:
Explanation:
We're asked to create a polynomial of degree 6 that has no real roots.
Let's consider the below polynomial;
\(x^6+1=0\)To determine its roots, we'll follow the below steps;
Step 1: Subtract 1 from both sides of the equation;
\(undefined\)Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
Answers
We know that he used 5/6 gallons of gas per hour of driving.
So, the total amount of gas he used is 5/6 * x.
We also know that he used a total of 5 3/4 gallons of gas.
So, we can set up the equation:
5/6 * x = 5 3/4
To solve for x, we can first convert 5 3/4 to an improper fraction:
5 3/4 = 23/4
Then, we can multiply both sides of the equation by the reciprocal of 5/6:
x = (5 3/4) / (5/6)
x = (23/4) / (5/6)
x = (23/4) * (6/5)
x = 27.6/4
x = 6.9
Therefore, Pablo was driving for a total of 6.9 hours.
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Q40
Blake completed 23 out of 25 activities.
What percentage is this?
Answers
Answer:
I'm not sure if this is exactly correct but I believe it would be 92%
Step-by-step explanation:
0.92 x 100= 92.
that's it ig
5. Use the Commutative
Property and compatible
numbers to calculate the sum.
Explain how you used mental
math.
23.3 + 12 + 36.7
Help! Need by 8 pm est
Answers
Answer: 72
Step-by-step explanation:
The value of X is _____.
Answers
Answer:
96
Step-by-step explanation:
The sum of the external angles of any convex polygon is 360°. Then the value of x° is ...
x° = 360° -130° -134°
x° = 96°
The value of x is 96.
Use the Law of Cosines to determine the length of the third side of the triangle.
4.1 cm
350
6.7 cm
a 1 = 4.9cm
b. 1 = 5.3cm
C.
1 = 5.5cm
d. 1 = 4.1cm
Answers
Corrected Question
Given a triangle with two sides 4.1 cm and 6.7cm and an Included angle of \(35^\circ\). Use the Law of Cosines to determine the length of the third side of the triangle.
Answer:
(D) 4.1cm
Step-by-step explanation:
Given a triangle with two sides 4.1 cm and 6.7 cm and an included angle of \(35^\circ\).
Using Law of Cosines
\(a^2=b^2+c^2-2bc\cos A\\a^2=4.1^2+6.7^2-2*4.1*6.7\cos 35^\circ\\a^2=16.6958\\a=\sqrt{16.6958}\\a=4.09\\a \approx 4.1$ cm\)
The correct option is D.
In a class of 50 students, they had a chance to read novel,comics and textbook 21 read novel,24 read comics and 18 read textbook 3 read only novel 9 read only comics and 2 read only textbook 5 read all the 3. illustrate your information on a venn diagram. use your diagram to find the number of students who read a. comics and novel only b. textbook and novel only c. none of the 3
Answers
Answer:
Here is a Venn diagram that illustrates the information:
```
___________
| |
| N |
|_____ ____|
|\ || /|
| \ || / |
| \ || / |
| \ || / |
| C \||/ T |
|_____\v/____|
A
```
In the diagram, N represents the set of students who read the novel, C represents the set of students who read the comics, and T represents the set of students who read the textbook. The region labeled A represents the set of students who read all three.
Using the Venn diagram, we can find the number of students who read:
a. comics and novel only: This corresponds to the region of the diagram that is exclusively shaded with the circles for comics and novel, but not for textbook. This region has 9 students.
b. textbook and novel only: This corresponds to the region of the diagram that is exclusively shaded with the circles for textbook and novel, but not for comics. This region has 1 student.
c. none of the 3: This corresponds to the region of the diagram that is outside of all three circles. This region has 13 students.
Therefore, the number of students who read a. comics and novel only is 9, b. textbook and novel only is 1, and c. none of the 3 is 13. Answer: a. 9, b. 1, c. 13.
Using the graph determine the coordinates of the zeros of the parabola
Answers
Answer:
-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,
Marking as Brainliest
Answers
Answer:
(8, -2)
Step-by-step explanation:
AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.
Answers
When a line is tangent to a circle, it forms a right angle with the radius drawn to the point of tangency. This means that triangle ABD is a right triangle with AB as the hypotenuse.
We can use the Pythagorean theorem to find the length of AB:
AB^2 = AD^2 + BD^2
Since AD = x + 9 and BD = 8x - (x + 9) = 8x - x - 9 = 7x - 9, we can substitute these values into the equation:
(8x)^2 = (x + 9)^2 + (7x - 9)^2
64x^2 = x^2 + 18x + 81 + 49x^2 - 126x + 81
64x^2 = 50x^2 - 108x + 162
14x^2 + 108x - 162 = 0
Dividing the equation by 2, we get:
7x^2 + 54x - 81 = 0
Using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
a = 7, b = 54, c = -81
x = (-54 ± √(54^2 - 4 * 7 * -81)) / (2 * 7)
x = (-54 ± √(2916 + 2268)) / 14
x = (-54 ± √5184) / 14
x = (-54 ± 72) / 14
Now we solve for x:
Case 1: x = (-54 + 72) / 14 = 18 / 14 = 9 / 7
Case 2: x = (-54 - 72) / 14 = -126 / 14 = -9
Since the length of a segment cannot be negative, we discard the second case and focus on the positive solution.
Therefore, x = 9/7.
Substituting this value back into AB = 8x:
AB = 8 * (9/7) = 72/7 ≈ 10.29
Rounding to 2 decimal places, the length of AB is approximately 10.29 units.
Answer:
To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:
8x = x + 9
Solving for x, we get:
x = 1.5
Therefore, AB = 8x = 8(1.5) = 12.
To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:
AB^2 + BD^2 = AD^2
Substituting the values, we get:
12^2 + BD^2 = (1.5 + 9)^2
Simplifying, we get:
BD^2 = 56.25
Taking the square root of both sides, we get:
BD = 7.5
Hence, the length of AB is 12 and the length of BD is 7.5.
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Hurry - Fill in the blanks
Answers
Answer:
The first value of a relation is an input value and the second value is the output value. A function is a specific type of relation in which each input value has one and only one output value.
An input is an independent value, and the output value is the dependent value, as it depends on the value of the input.
2|3x-9|+5<25 help please
Answers
11 Is what percent of 20?
Answers
Answer:
55%
Step-by-step explanation:
Because 11/20= 0.55
0.55=55%
BRAINLIEST WILL BE GIVEN A quarterback on a professional football
team completes, on average, 10 passes for
every 15 passes he attempts. How many
passes can he expect to complete if he
attempts 525 passes in a season?
Answers
Answer:
350
Step-by-step explanation:
525/15=35
35x10=350
Find the area and the circumference (or perimeter) of each of the following. (a)a penny; (b) anickel; (c) a dime; (d) a quarter, (e) a half-dollar; (f) a silver dollar; (g) a Sacajawea dollar; (h) adollar bill; and (i) one face of the pyramid on the back of a $1 bill.
Answers
You use this for the coins
Area of a circle:
\(A=\pi\cdot r^2\)r is the radius and it can be obtaided more easily if you measure the diameter of the circle and then divide it into 2.
Circunference or perimeter of a circle:
\(C=2\cdot\pi\cdot r\)--------------------------------------------
You use this for the bills:
Aera of a rectangle:
\(A=l\cdot w\)Perimeter of a rectangle:
\(P=2l+2w\)------------------------
The face a pyramid has the shape of a trianlge:
Area of a triangle:
\(A=\frac{1}{2}b\cdot h\)Perimeter of a triangle:
\(P=b+a+a\)
Solve each system by substitution -3x + 3y = 3 and -5x + y = 13
Answers
Step-by-step explanation:
The given system of equations are ,
-3x + 3y = 3-5x + y = 13Solving (1) :-
=> -3x + 3y = 3
=> -3( x - y ) = 3
=> x - y = 3/-3
=> x - y = -1
=> x = y + 1
Put this value in (2)
=> -5(y+1) + y = 13
=> -5y -5 + y = 13
=> -4y = 18
=> y = 18/-4
=> y = -9/2 = -4.5
Finding x :-
=> x = -4.5 + 1
=> x = -3.5
Hence the value of x is -3.5 and y is -4.5For each value of w, determine whether it is a solution to -13=
W
9
27
Answers
\( - 13 = \frac{w}{9} - 6 \\ - 13 + 6 = \frac{w}{9} \\ - 7 = \frac{w}{9} \\ w = - 63\)
so only -63 is the solution, the rest three are NOT solution for this equation.
Find the nth term of the sequence.
The the first 4 terms are-
1st term 2nd term 3rd term 4th term 0.25, 0.5, 1, 2,
Answers
Answer:
1st term(a)=0.25
2nd term(t2)=0.5
common difference (d)=0.25
nth term(tn)=a+(n-1)d
=0.25+(n-1)0.25
=0.25+0.25n-0.25
=0.25-0.25+0.25n
=0.25n
Answer: nth term of the geometric sequence = (n^-1)/2
Step-by-step explanation: The nth term of a GP is Tn = arn^-1
where a is the first term 0.25
r is the common ratio 0.5/0.25 or 1/0.5 or 2/1, which is 2
Therefore the nth term = 0.25 x 2 x n^-1
= 0.5n^-1
=(n^-1)/2
3. Find the minimum number of students needed to guarantee that five of them belong to the same class (Freshman, Sophomore, Junior, Senior)
Answers
Answer:
100
Step-by-step explanation:
well you can put 5 students in each class guaranteed 5 times over so it would make sense because 5 for each class 9th-12th 5 times over again and again will eventually give you the answer of 100 5•20
If we take 5 students are in each class.
Then let minimum number of students be x
ATQ
1/20()x = 5
x = 5 × 20
x = 100
Answer: 100 people
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Given: HF || JK; HG ≅ JG
Prove: FHG ≅ KJG
To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof?
Answers
To prove that the triangles are congruent by ASA, the statement and reason could be used as part of the proof is option (A) ∠FGH ≅ ∠KGJ because vertical angles are congruent.
Here we have two triangle FHG and KJG,
The sides HF and the side JK are parallel
The length of the side of the HG and the length of the side JG are equal
HG ≅ JG
According to the ASA property of congruent, if the two angle and one side of the triangle are equal to the two angle and one side of the other triangle, then the both triangles are congruent
Here we have to prove that angle FHG and angle KJG are vertical angles
Here the vertical angles are congruent
Therefore, the statement that can be the part of proof is option (a) angle FGH ≅ angle KGJ because vertical angles are congruent.
I have solved the question in general, as the given question is incomplete
The complete question is:
Given: HF || JK; HG ≅ JG
Prove: FHG ≅ KJG
To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof?
a) FGH ≅ KGJ because vertical angles are congruent.
b) JKG ≅ HFG because vertical angles are congruent.
c) FHG ≅ JKG because right angles are congruent.
d) HFG ≅ KJG because alternate interior angles are congruent.
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La empresa clarisse dedicada al rubro de telefónica, está ampliando su cobertura, debido a esto está colocando postes, donde la séptima parte de un poste está enterrada, y sobresale del suelo 25 metros. Calcular la altura del poste aproximado a los centímetros.
Answers
The approximate height of the pole in centimeters is 17,500 centimeters.
We have,
Let's start by calculating the total length of the pole, which is buried plus the part that protrudes from the ground.
We know that the part that protrudes is 25 meters and that it represents one-seventh of the total length.
25 = L/7
where L is the total length of the pole.
We can solve for L by multiplying both sides of the equation by 7:
L = 7 x 25
= 175 meters
Now we need to convert this length to centimeters.
Since 1 meter is equal to 100 centimeters,
175 meters x 100
= 17,500 centimeters
Therefore,
The approximate height of the pole in centimeters is 17,500 centimeters.
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The complete question.
The Clarisse company, dedicated to the telephone business, is expanding its coverage, due to this, it is placing poles, where the seventh part of a pole is buried, and protrudes 25 meters from the ground. Calculate the approximate height of the pole in centimeters.
the scale is evenly balanced. explain how you could find the weight ( w ) of one turtle.
Answers
Answer:
count all of the weight on the right side, subtract 4 pounds from both sides, and divide it by 2.
Step-by-step explanation:
A two-sided test of H0: μ=0, α=0.05 (two sided), yields a p-value of 0.19. Will the 95% confidence interval for μ include 0?
Group of answer choices
No
Unknown
Yes
Answers
Explanation
Rule: if the p-value is smaller than alpha, then we reject the null.
We're given a p-value of 0.19 and alpha = 0.05
Based on that rule, it means we fail to reject the null (i.e. "accept" the null), since the p-value is not smaller than alpha.
Therefore, we conclude that mu = 0 must be the case, which means this value is in the confidence interval.
If mu = 0 was outside the confidence interval, then we would reject the null.
Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship in the diagram.
(please also show an step by step process of getting EAF!)
Answers
Answer:
x = 27 , ∠ EAF = 27°
Step-by-step explanation:
∠ GAF = 90° , then
∠ GAC + ∠ CAF = ∠ GAF , that is
x + 63 = 90 ( subtract 63 from both sides )
x = 27
∠ DAE = 90°
since CD is a straight angle of 180° , then
∠ CAE = 90° , so
∠ CAF + ∠ EAF = ∠ CAE , that is
63° + ∠ EAF = 90° ( subtract 63° from both sides )
∠ EAF = 27°
Simplify
2x² + (4x – 6x²) + 9 – (6x + 3)
Answers
Answer: -4x²-2x+6
Step-by-step explanation:
2x²+(4x-6x²)+9-(6x+3)
2x²+4x-6x²+9-6x-3
2x²-6x²+4x-6x+9-3
-4x²-2x+6
Answer:
=-4x^2-2x+6
Step-by-step explanation:
The total cost of 5 kg rice and 6 kg sugar is Rs 940. If the
rate of rice increases by 20% and the rate of sugar decreases
by 10%, the total cost of 4 kg rice and 3 kg sugar will be
Rs 627. By what percent the cost of 1 kg rice is more or less
than the cost of 1 kg sugar. Find it.
Answers
The percent cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.
What is percent increase?We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage.
Let the cost price of rice is R and cost price of sugar is S.
Case 1 : total cost of 5 kg rice and 6 kg sugar is Rs. 940.
5R + 6S = 940 ...(1)
Case 2 : rate of rice increased by 20% and the rate of sugar decreased by 10%.
The new cost price of rice = R + 20% of R = 1.2R
The new cost price of sugar = S - 10% of S = 0.9S
So, the total cost of 4 kg rice and 3 kg sugar will be Rs. 627.
Thus,
4 × 1.2R + 3 × 0.9S = 4.8R + 2.7S = 627 ..(2)
From equations (1) and (2) we have,
(5R + 6S)/(4.8R + 2.7R) = 940/627
R/S = 8/9
Hence, if the price of rice is 8 then the price of sugar is 9.
It is clear that the price of sugar is more than that of rice.
The percent cost by which cost of rice is less than sugar is:
(9 - 8)/ 9 (100) = 11 1/9%.
Hence, the cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.
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Would really appreciate if someone helped me with this one please!
Answers
a) The value of x is 21
b) The value of the expression is 135.
c) The value of the expression is 135.
How to find the value of x?Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:
5*(x + 6) = 9*(x - 6)
We can solve that linear equation for x:
5x + 30 = 9x - 54
30 + 54 = 9x - 5x
84 = 4x
84/4 = x
21 = x
Then the measures of the angles are:
a1 = 5*(21 + 6) = 135°
a2 = 9*(21 - 6) = 135°
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3m-n=km-8, solve for m
Answers
Add n on both sides:
3m = km - 8 + n
Subtract km on both sides:
3m - km = n - 8
Factor the Left-Hand Side:
m(3 - k) = n - 8
Divide both sides by (3 - k):
m = (n - 8) / (3 - k)
Answer:
(8-n)/(k-3) =m
Step-by-step explanation:
3m-n=km-8
Subtract 3m from each side
3m -3m-n=km -3m-8
-n =km -3m-8
Add 8 to each side
8-n =km -3m-8+8
8-n =km -3m
Factor out m
8-n =m(k -3)
Divide by (k-3)
(8-n)/(k-3) =m(k -3)/( k-3)
(8-n)/(k-3) =m
solve this picture included.
Answers
1. 0.6
2. 10
3. -½
the answers are thrre ...
if a real estate agent sold a piece of land for 580000. how much commission did he/she get at 2.5%
Answers
Answer:
$14500
Step-by-step explanation:
It wuld be 580,000 X 0.025=14500