Hello,
[tex](211)_x=(10110)_2\\\\2*x^2+x+1=22\\\\2x^2+x-21=0\\\Delta=1+4*2*21=169=13^2\\x=\dfrac{-1+13}{4}= 3\\or\\x=\dfrac{-1-13}{4}\ may\ not\ be\ negative\\\\[/tex]
x=3
URGENTT!!!! help quick please
Problem 2. Joe has 7 shirts 4 pairs of pants and 2 pairs of shoes.He needs to make an outfit containing one of each item.How many different outfits are possible?
Answer:
56 different outfits
Step-by-step explanation:
rization
Vhat is the prime factorization of 180?
Select a composite number to break into factors. Continue
factoring until all factors are prime.
22•2•3•3.5
2.2.45
2.3.3.5
480
2.9.5
Answer:
5 3 3 2 2
Step-by-step explanation:
180
90 2
45 2 2
15 3 2 2
5 3 3 2 2
Answer:
180 = 5 × 3² × 2²
Step-by-step explanation:
Starting with 180, the prime factors are in bold
180 = 90 × 2
= 45 × 2 × 2
= 15 × 3 × 2 × 2
= 5 × 3 × 3 × 2 × 2
Then
180 = 5 × 3 × 3 × 2 × 2 = 5 × 3² × 2²
What is the sum of the 15th square number and the 5th cube number?
The sum of the 15th square number and the 5th cube number is 350.
The 15th square number will be:
15² = 15 × 15
= 225
The 5th cube number will be:
5³ = 5 × 5 × 5
= 125
The sum of the numbers will be:
225 + 125
= 350
Therefore, we get that, the sum of the 15th square number and the 5th cube number is 350.
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Lim x->-5(((1)/(5)+(1)/(x))/(10+2x))=
correct answer 1/10x = -1/50
explain:
Given:
The limit problem is:
[tex]lim_{x\to -5}\dfrac{\dfrac{1}{5}+\dfrac{1}{x}}{10+2x}[/tex]
To find:
The value of the given limit problem.
Solution:
We have,
[tex]lim_{x\to -5}\dfrac{\dfrac{1}{5}+\dfrac{1}{x}}{10+2x}[/tex]
It can be written as:
[tex]=lim_{x\to -5}\dfrac{\dfrac{x+5}{5x}}{2(5+x)}[/tex]
[tex]=lim_{x\to -5}\dfrac{x+5}{5x}\times \dfrac{1}{2(5+x)}[/tex]
[tex]=lim_{x\to -5}\dfrac{1}{5x\times 2}[/tex]
[tex]=lim_{x\to -5}\dfrac{1}{10x}[/tex]
Applying limit, we get
[tex]lim_{x\to -5}\dfrac{1}{10x}=\dfrac{1}{10(-5)}[/tex]
[tex]lim_{x\to -5}\dfrac{1}{10x}=\dfrac{1}{-50}[/tex]
Therefore, the value of given limit problem is [tex]-\dfrac{1}{50}[/tex].
Which operation will solve the following word problem? Jeff earns $14.00 per hour, Tom earns half as much as Jeff. How much does Tom earn per hour?
a.) Multiplication
b.) Subtraction
c.) Addition
d.) Division
Answer:
Multiplication
Amount Tom earns per hour = $7
Step-by-step explanation:
Amount Jeff earns per hour = $14
Amount Tom earns per hour = 1/2 × $14
Note: 1/2 = 0.5
Amount Tom earns per hour = 1/2
× $14
= 0.5 × $14
= $7
Amount Tom earns per hour = $7
Find the area of circle Q in terms of x
Answer:
The answer is C 100πcm^3
What is the sum of the polynomials (-x^2 +9) + (-3x^2 - 11x + 4)
Answer:
4
−
4
+
8
2
+
8
Step-by-step explanation:
The measure of an angle is eight times the measure of its supplementary angle. What is the measure of each angle?
Answer:
160°
Step-by-step explanation:
Let one angle be x
Let second angle be 8x
Sum of supplementary angles = 180°
x+ 8x = 180°
9x = 180
x = 180/9 = 20
First angle= x= 20°
Second angle = 8x = 8*20 = 160°
Factor -1.8 out of 3.6b-9
=================================================
Explanation:
Consider something like 2b+6 factoring to 2(b+3). When we distribute that outer 2 back inside the parenthesis, we're multiplying that 2 by everything inside. Factoring goes in reverse of this and we divide each term of 2b+6 by the GCF 2.
The same thing applies to this current problem as well.
Divide each term by the -1.8 we want to factor out.
(3.6b)/(-1.8) = -2b(-9)/(-1.8) = 5The results -2b and 5 will go inside the parenthesis. That's how we end up with -1.8(-2b+5)
You can use distribution to verify this
-1.8(-2b+5)
-1.8*(-2b) - 1.8*(5)
3.6b - 9
What is the product?
please someone explain this
Answer: 68
Step-by-step explanation: Complementary angles are angles that add up to 90. So, you need to do 90-22=68.
The composite figure is made up of a rectangle and two pentagons. Find the area. 5 5 34 S 5 A. 129 sq. units O B. 122.4 sq. units C. 225 sq. units D. 140 sq. units
Answer:
Option D, 140 sq. units
Step-by-step explanation:
Area of the rectangle part, 11*5 = 55 sq. units
Area of the pentagon part (3.4*5)*5/2 = 42.5 sq. units
Total area,
55+2*42.5 sq. units (since there are two pentagons)
= 55+85 sq. units
= 140 sq. units
Which descriptions from the list below accurately describe the relationship between QRS and TUV? check all the apply.
Answer:
The triangles are similar.
Step-by-step explanation:
They are similar because they have the same angles. They may be the same size, but it would be best to refer to whatever definition you were given.
The correct descriptions from the list accurately describe the relationship between QRS and TUV is,
⇒ Similar
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Two triangles are shown in figure.
Here, All the corresponding angles are same in both triangles.
And, The ratio of their corresponding sides are,
In triangle TUV;
⇒ 90 / 108 = 30 / 36
In triangle QRS;
⇒ 30 / 36
Hence, The correct descriptions from the list accurately describe the relationship between QRS and TUV is,
⇒ Similar
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Mark had 3/2 cans of paint and used 1/2 cans for his room. What fraction of the paint did he use
Help I’m slowww
Answer:
1/3 fraction of whole paint is used by mark
Step-by-step explanation:
Mark used 1/2 out of 3/2 cans.
[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{3}{2} = \frac{1}{2}*\frac{2}{3}=\frac{1}{3}[/tex]
Let $S$ be the set of points $(a,b)$ in the coordinate plane, where each of $a$ and $b$ may be $-1$, 0, or 1. How many distinct lines pass through at least two members of $S$
Answer:
20 Lines
Step-by-step explanation:
According to the Question,
Given That, Let S be the set of points (a, b) in the coordinate plane, where each of a and b may be -1, 0, or 1.Now, the total pairs of points which can be formed is 9
And, the line passing through 2 such points 9c2 = 9! / (2! x 7!) = 9x4 ⇒ 36
Here, We have overcounted all of the lines which pass through three points.
And, each line that passes through three points will have been counted 3c2 = 3! / 2! ⇒ 3 times
Now, the sides of the square consist of 3 points. We have counted each side thrice, so 4*2 are repeated.
Therefore, the distinct lines pass through at least two members of S is 3 horizontal, 3 vertical, and 2 diagonal lines, so the answer is 36 - 2(3+3+2) = 20 LinesExplain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.
In the diagram, what is AC?
find the DB =[tex]\displaystyle\bf \sqrt{17^2-8^2} =15[/tex] ; now find AD=AB-DB=21-15=6 .Then AC=[tex]\displaystyle\bf \sqrt{AD^2+CD^2} =\sqrt{6^2+8^2} =10[/tex]
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in both right triangles
To find BD
BD² + CD² = BC²
BD² + 8² = 17²
BD² + 64 = 289 ( subtract 64 from both sides )
BD² = 225 ( take the square root of both sides )
BD = [tex]\sqrt{225}[/tex] = 15
Then
AD = AB - BD = 21 - 15 = 6
To find AC
AC² = AD² + CD²
AC² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
AC = [tex]\sqrt{100}[/tex] = 10 → C
PLZZ HELPPPPPP I NEED TO FINISH THIS IN 8 MINS
Answer:
$29.69
Step-by-step explanation:
23.52 * 1.1 = $25.872 so this is the marked up price. ----- (1.1 = 110%)
25.872 * 0.1475 = $3.81612 is the sales tax.
Total is 25.872 + 3.81612 ~ $29.69
In 2005, there were 1000 rabbits on an island. The population grows 8% per year. AT this rate, how many
rabbits will there be on the island by 2020?
Answer: 3172
Step-by-step explanation:
Can someone help me with this math homework please!
Answer:
See step by Step
Step-by-step explanation:
Both are correct. As long as we undo the operations that was given from the original term to both sides until we get the variable by itself., any way can be applied.
Both, Spencer and Jeremiah are correct. We can verify this by testing their methods.
Spencer's method:
[tex]6x - 2 = - 4x + 2[/tex]
[tex]6x - 2 + 4x= - 4x + 2 + 4x[/tex]
[tex]10x - 2 = 2[/tex]
[tex]10x = 2 + 2[/tex]
[tex]10x = 4[/tex]
[tex]x = \frac{4}{10} [/tex]
[tex]x = 0.4[/tex]
Jeremiah's method:
[tex]6x - 2 = - 4x + 2[/tex]
[tex]6x - 2 - 6x = - 4x + 2 - 6x[/tex]
[tex] - 2 = - 10x + 2[/tex]
[tex] - 2 - 2 = - 10x[/tex]
[tex] - 4 = - 10x[/tex]
[tex] \frac{ - 4}{ - 10} = x[/tex]
[tex]0.4 = x[/tex]
As seen, we get the correct answer by using Spencer's and Jeremiah's method. So, we can say that they both are correct.
help with this question please
Which shape has the greatest number of lines of symmetry?
A. rhombus
B. square
C. rectangle
D. parallelogram
Find the measure of the third angle of a triangle if the measures of the other two angles are given.
102.9 and 40.4
Answer:
36.7
Step-by-step explanation:
180 - 102.9 - 40.4= 36.7
The measure of the third angle of the given triangle after applying the angle sum property of a triangle is 36.7 degrees.
The measures of the two angles of a triangle are 102.9 and 40.4.
We need to find the measure of the third angle.
What is the Angle Sum Property of a triangle?The angle sum property of a triangle states that the sum of all three interior angles of a triangle is 180 degrees.
If A, B, and C are the interior angles we have,
A + B + C = 180.
Consider the three interior angles to be A, B, and C.
We are given two angles 102.9 and 40.4.
Let A = 102.9, B = 40.4.
and C = angle to be measured.
Now,
Applying the angle sum property of a triangle.
We have,
A + B + C = 180
102.9 + 40.4 + C = 180
143.3 + C = 180
C = 180 - 143.3
C = 36.7 degrees.
After applying the angle sum property of a triangle we got the measure of the third angle as 36.7 degrees.
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FOR EASY BRAINLIEST ANSWER QUESTION BELOW!
1. Solve each word problem .twice a number added three times the sum of the number and 2 is more than 17. Find the numbers that satisfy condition
Answer:
28
Step-by-step explanation:
The average human body contains about 40 L of water. What is the total amount of water contained in the 6.4 billion people in the world? Show each step in your solution. Express your answer in scientific notation.
Answer:
2.56 * 10^11 L
Step-by-step explanation:
1 body has 40 L
Thus, the amount in 6.4 billion would be;
40 * 6.4 * 10^9
= 256 * 10^9
= 2.56 * 10^2 * 10^9
= 2.56 * 10^11 L
Which equation is correct?
x – 17 = 4
x – 4 = 17
x + 4 = 17
x + 17 = 4
Answer:
1 and 2.....then 3 is a different question
please help! I cant figure this out!
Find the perimeter of ΔJKL. Round your answer to the nearest tenth if necessary
Answer:
Step-by-step explanation:
as angles of two triangles are equal, so they are similar.
x/17 =35/14=40/16
x/17=35/14
x=35/14×17=85/2=42.5
perimeter of ΔJKL=40+35+42.5=117.5
what percent of 98 million is 7740
Answer:
Step-by-step explanation:
x : 100 = 7740 : 98 000 000
x = (7740 * 100)/98 000 000
x = 0.007898 %
A percentage is a hundredth of a number Then [tex]\displaystyle\bf \frac{7740}{98\cdot10^6} \cdot100=\frac{387}{49000} \approx 0,00789\%[/tex]
