Answers
Answer:
Step-by-step explanation:
1)First convert mixed fraction to improper fraction and them prime factorize
[tex]6\frac{1}{4} = \frac{25}{4}\\[/tex]
[tex]\sqrt{\frac{25}{4}}= \sqrt{\frac{5*5}{2*2}}= \frac{5}{2} = 2 \frac{1}{2} \\\\[/tex]
2)
[tex](2 \frac{1}{2}- 1 \frac{1}{2})*1 \frac{1}{7}=( \frac{5}{2}- \frac{3}{2})* \frac{8}{7}\\\\\\= \frac{2}{2}* \frac{8}{7}\\\\=1* \frac{8}{7}= \frac{8}{7}\\\\\\=1 \frac{1}{7}[/tex]
3) 0.00706 = 7.06 * [tex]10^{-3}[/tex]
4) 144 = 12 * 12
12 = 6*2
6 = 2*3
Prime factorization of 144 = 2 * 3 * 2 * 2 * 3 *2
= 2⁴ * 3²
5) To find LCM, prime factorize 96 & 144
96 = 2 * 2 * 2 * 2 * 2 * 3 = 2⁵ * 3
144 = 2⁴ * 3²
LCM = 2⁵ * 3² = 32 * 9 = 288
6) HCF
105 = 7 * 5 * 3
135 = 5 * 3* 3 * 3
180 = 5 * 3 * 3 * 2 * 2
HCF = 5 * 3 = 15
7) 24 = 3 * 2 * 2 * 2 = 3 * 2³
36 = 3 * 3 * 2 * 2 = 3² * 2²
40 = 5 * 2 * 2 * 2 = 5 * 2³
LCM = 5 * 2³ * 3² = 5 * 8 * 9 = 360
HCF = 2² = 4
Difference = 360 - 4 = 356
8) Multiply each digit of the binary number by the corresponding power of 2, solve the powers and add them all
1111 = 1 *2³ + 1*2² + 1*2¹ + 1*2° = 8 + 4 + 2 + 1 = 15
Ans: 15
9) 36₇ = 102₅
10) 6.9163 = 6.916
I knew only this much
hope it's helpful
:)
Related Questions
Evaluate 6 · 3 ÷ √9 - 1. plz help, will mark brainliest A. 2 B. 3 C. 5 D. 6
Answers
Answer: C. 5
Step-by-step explanation:
[tex]6 \cdot3\div \sqrt{9}-1[/tex]
[tex]6 \cdot 3=18[/tex]
[tex]\sqrt{9}=3[/tex]
[tex]18\div \:3-1[/tex]
[tex]18\div \:3=6[/tex]
[tex]6-1[/tex]
[tex]=5\\[/tex]
The value is 16.
What is square root?The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents. Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product. This can be written as 3 × 3 or 3^2. Here, the exponent is 2, and we call it a square.
We can use four methods to find the square root of numbers and those methods are as follows:
Repeated Subtraction Method of Square RootSquare Root by Prime Factorization MethodSquare Root by Estimation MethodSquare Root by Long Division MethodGiven:
6 · 3 ÷ √9 - 1
6*3 = 18
√9 - 1 = 3-1 = 2
So,
6 · 3 ÷ √9 - 1
=18- 2
=16
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What is the distance between (-6, 2) and (8,10) on a coordinate grid?
Answers
Answer:
A. 260
Step-by-step explanation:
Answer:
square root 260
Step-by-step explanation:
On mine it is D. but the answer is the square root of 260
PLS HELP ME I WILL GUVE YOU BRAINLIST AND A THANK YOU!!!!!
Answers
Answer: 35
Step-by-step explanation:
If you take the three angles shown, it's total is 180
So take the two angles you know, and subtract them from 180
Now we have 100 left, and we can subtract 30 to be left with 2x.
Now divide what is left by two, which is 70
70/2=35
Answer:
x = 35
Step-by-step explanation:
So we know that a straight line is equal to 180 degrees. So from there we can add the two 40 degrees to get 80 degrees. Now we can solve for x. So 180 - 80 = 100
2x + 30 = 100
Subtract 30 from both sides
2x = 70
Divide both sides by 2
x = 35
Write the equation of the line that is parallel to the line y=−14x−3 through the point (4,4). A. y=x+5 B. y=−14x+5 C. y=5x+1 D. y=5x−14
Answers
Answer:
None of the answers seem to be correct.
Step-by-step explanation:
The given equation is of the form y = mx + b where m is the slope and b is the y-intercept.
Here, m = -14
Two parallel lines have the same slope. So, the slope of the new line will be -14.
To calculate the y-intercept substitute x=4 and y=4 in the equation.
4 = (-14)(4) + b
Solving for b, we get b = 60.
So, the new equation will be y = -14x + 60
The equation of the line parallel to the given line is y =-14x+60, none of the given options is correct.
What is the equation of a straight line ?The equation of the straight line is given by y = mx +c , Where m is the slope of the line and c is the y-intercept.
The equation of the line is y = -14x -3
The slope of the line parallel to this will be the same as the given line.
m = -14 for both the lines
The line equation parallel to the given line is
y = -14x +c
The line passes through the points (4,4)
4 = -14 * 4 + c
c = 60
y = -14x +60
Therefore, the equation of the line parallel to the given line is y =-14x+60.
To know more about Equation of a straight line
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Which correlation best describes the data below.
Answers
Answer:
weak positive
Step-by-step explanation:
weak because the line of best fit (the line passes through all points and used to express the relationship between them) doesn't pass through all ponts here.
positive because the values of data points are rising throughout the graph.
witch numbers are domain -3 ,-2 ,-3 ,0 ,-1 ,2 ,1 ,2
Answers
Correct Presentation of Question
Which numbers are domain? (-3,-2) (3,0)(-1,2)(1,2)
Answer:
Domain = {-3,-3,-1,1}
Step-by-step explanation:
Given
(-3,-2) (3,0)(-1,2)(1,2)
Required
Determine which numbers are domain
A function is always represented as thus (x,y) in this format (domain, range);
Tabulate the given data
x || y
-3 || -2
3 || 0
-1 || 2
1 || 2
The values under the x column are the domain;
Hence, the domain are {-3,-3,-1,1}
Use substitution to solve the following system of equations. What is the value of y?
Answers
Answer:
y = 6Step-by-step explanation:
Use the second equation:
2x - y = 2 ⇒ y = 2x - 2Substitute this into first equation:
3x + 4(2x - 2) = 363x + 8x - 8 = 3611x = 44x = 4Now find y:
y = 2*4 - 2 y = 8 - 2y = 6It is given that,
→ 2x - y = 2
Convert the equation as,
→ y = 2x - 2
First we should,
find the required value of x.
→ 3x + 4(2x - 2) = 36
→ 3x + 8x - 8 = 36
→ 11x = 44
→ [x = 4]
Let's find the required value of y,
→ y = 2x - 2
→ y = (2 × 4) - 2
→ y = 8 - 2
→ [y = 6]
Therefore, the value of y is 6.
I’m sure this is easy but I hateeee geometry. help ASAP plsssss
Answers
Given points
(-4,3)(2,5)Distance:-
[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(2+4)^2+(5-3)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(6)^2+(2)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{36+4}[/tex]
[tex]\\ \sf\longmapsto \sqrt{40}[/tex]
[tex]\\ \sf\longmapsto 6.2[/tex]
Farmer Green sent his two children out to count the hens and sheep. His daughter counted 40 hens, and his son counted 100 legs. How many of each animal is on the farm?
Answers
Answer:
40 hens, 5 sheep
Step-by-step explanation:
40 x 2 = 80 (hens have 2 legs)
100 - 80 = 20 ----> 20 legs left for sheep,, sheep have 4 legs
20/4 = 5 so there are 5 sheep
Answer:
40 hens, 5 sheep
Step-by-step explanation:
40 x 2 = 80 (hens have 2 legs)
100 - 80 = 20 ----> 20 legs left for sheep,, sheep have 4 legs
20/4 = 5 so there are 5 sheep
Could you guys please help with this question :) At a teacher's college, 70% of students are female. On average 75% of females and 85% of males students graduate. A student who graduates is selected at random, find the probability that the student is male.
Answers
Answer:
Step-by-step explanation:
70% of students are female
70/100* 75%= you get your answer
then subtract the percentage of the males and the females and then you get your answer
Finding which number supports the idea that the rational numbers are dense in the real numbers.
Answers
Answer:A terminating decimal between -3.14 and -3.15.
Step-by-step explanation:
A natural number includes non-negative numbers like 5, 203, and 18476.
It is encapsulated by integers, which include negative numbers like -29, -4, and -198.
Integers are further encapsulated by rational numbers, which includes terminating decimals like 3.14, 1.495, and 9.47283.
By showing a terminating decimal between -3.14 and -3.15, you are showing that rational numbers include integers (because integers include negative numbers.
What is 51⁄6 as an improper fraction? For Seneca Learning:
Answers
Answer:
Step-by-step explanation:
[tex]5\frac{1}{6}=\frac{(5*6)+1}{6}=\frac{31}{6}[/tex]
Answer:
31/6 (improper fraction).
Step-by-step explanation:
5 1/6 = (6 × 5) + 1/6 = 31/6
31/6 is the improper fraction.
Can someone pls help me &THANK YOU
SLATTTT!!!
Answers
I need help please i will do brainliest
Answers
O=Okapi
L=llama
O+L=450
3L=O+190
Solving that setup equation gets us with
4L=640
Divided by 4 to get each llama weighing 160KG
160+O=450
450-160=290
Getting the okapi to weigh 290KG
Hope this helped! Have a great day!!
A new Community Sports Complex is being built in Madision. The perimeter of the rectangular playing field is 324 yards The length of the field is 6 yards less than double the width What are the dimensions of the playing field?
Answers
y= length
2x +2y= 324
y = 2x-6
2x +2(2x-6)= 324
2x+ 4x -12=324
6x -12=324
6x= 324+12
6x= 336 /6
x = 56 yards
y= 2x-6
y = 2*56-6
y= 106 yards
Check >>
2x +2y= 324
2*56 +2* 106 = 324
Which of the following equations has only one solution?
x2 + 4x + 4 = 0
x2 + x = 0
ox²-1=0
Answers
Answer:
x² + 4x + 4 = 0
Step-by-step explanation:
x² + 4x + 4 = 0
( x + 2 )² = 0
x + 2 = 0
x = -2
x² + x = 0
x ( x + 1 ) = 0
x = 0 or x = -1
x² - 1 = 0
x² = 1
x = 1 or x = -1
f(x)=8−4x−x3 g(x)=x2+7x−9 Find f(x)+g(x). Select one: a. x3+x2+3x−1 b. −x3+x+3x−1 c. −x3+x2+11x−9 d. 8x2+3x−9x3
Answers
Answer:
B
Step-by-step explanation:
We are given the two functions:
[tex]f(x) = 8 - 4x - x^3\text{ and } g(x) = x^2 + 7x - 9[/tex]
And we want to find:
[tex]f(x) + g(x)[/tex]
Substitute:
[tex]= (8 - 4x - x^3) + (x^2 + 7x - 9)[/tex]
Rewrite:
[tex]= (-x^3) + (x^2) + (7x - 4x) + (8 - 9)[/tex]
Combine like terms:
[tex]= -x^3 + x^2 +3x -1[/tex]
In conclusion:
[tex]f(x) + g(x) = -x^3 + x^2 +3x -1[/tex]
Hence, our answer is B.
Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3
Answers
Answer:
The correct option is;
3 + (-9) = -6, because -6 is 9 units to the left of 3
Step-by-step explanation:
The given information are;
Kelvin's score after the first round is shown at point K on the number line
The range of numbers on the number line = -10 to +10
The position of point K after the first round = +3
The number of points Kevin lost in the second round = 9 points
Therefore, Kevin's cumulative score = +3 - 9 = -6
Therefore, the expression that shows how many total points he has at the end is of round 2 = 3 + (-9) = -6, because -6 is 9 units to the left of 3.
Find the missing side lengths. Leave your answers as radicals in the simplest form.
Answers
Answer:
x = 28, y = 14Step-by-step explanation:
Use the property of 30°-60°-90° right triangle.
The ratio of sides:
a : b : c = 1 : √3 : 2Compare with the given:
y : 14√3 : x = 1 : √3 : 2y = 14√3 / √3 = 14x = 2*14 = 28Apply the property of 30-90-60 angle
a:b:c=1:√3:2So
y=14√3/√3=14x=2(y)=2(14)=28GIVING BRAINLY JUST ANSWER CORRECTLY !!
Answers
Answer:
b. never
Explanation:
A fraction is always in the form p/q, where q is not 0; or can be converted in that form (in case of mixed fraction).
A number is said to be irrational, if it cannot be expressed in the form p/q, where q is not 0.
What is the length of segment AB?
Answers
Answer:
-1
Step-by-step explanation:
then the sum of the line come home x axis
-4+3=-1
Please help explanation if possible
Answers
Answer:
Step-by-step explanation:
X = 4 , Y = 8
this is because
(5 x 4) - ( 3 x 8) = -4
20 - 24 = -4
___________________________________________________________
so the answer is 4,8
Answer:
( − 2 , 2 )
Step-by-step explanation:
Add 2 x to both sides of the equation.
y = 6 + 2 x 5 x + 3 y = − 4
Replace all occurrences of y with 6 + 2 x in each equation.
Replace all occurrences of y in 5 x + 3 y = − 4 with 6 + 2 x . 5 x + 3 ( 6 + 2 x ) = − 4 y = 6 + 2 x
Simplify the left side.
11 x + 18 = − 4 y = 6 + 2 x
Solve for x in the first equation.
x = − 2 y = 6 + 2 x
Replace all occurrences of x with − 2 in each equation.
y = 2 x = − 2
The solution to the system is the complete set of ordered pairs that are valid solutions. ( − 2 , 2 ) The result can be shown in multiple forms.
Point Form: ( − 2 , 2 )
Equation Form: x = − 2 , y = 2
Write in detail 5 goods that you get using money currency and 5 services that you can get using money currency.
Answers
The goods that money can buy include soap, bag, shoe, radio, television etc. The services that can be gotten include barbing, teaching, tailoring, catering, auditing etc.
Money is important in our everyday lives. We use money to make purchases of goods and it serves as a medium of exchange.
We can use money to buy goods like shoes, jewelry, radio, phone, bag, etc. When we need services such as barbing of our hair, teaching, tailoring, catering, auditing etc, we can make the purchase through money and the services will be given to us.
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Find the marked angle P
Answers
Answer:
the answer is (d) 57°
Step-by-step explanation:
since it's a straight angle it equals to 180°
you divide 180° from 123°
____________ show the frequency of data.
A. dot plots
B. bar graphs
C. all of these
D. line plots
Answers
Need help how to find this slope
Answers
Answer:
slope = - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 1)
m = [tex]\frac{1-2}{3-0}[/tex] = - [tex]\frac{1}{3}[/tex]
3y=-2x+1593 divide each side by 3
Answers
Answer:
y = -2x/3 + 531
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
10
6
B.
'C С
8
Find sin ZA
A 3
5
B. 4
C 1
Answers
Answer:
B. 4/5
Step-by-step explanation:
Sin = Opposite/Hypotenuse
Sin∠A = 8/10 = 4/5
PLEASE HELP FOR REAL
In exercises 22 24 , describe how the change affects the surface area of the right prism or right cylinder .
Answers
Answer:
22. The surface area is 1/9 of its original value
24. The surface area is 120 m^2 less than its original value.
Step-by-step explanation:
22. For similar figures, the surface area is proportional to the square of the linear dimension scale factor. Multiplying all linear dimensions by 1/3 will result in reducing the surface area to (1/3)^2 = 1/9 of its original value.
__
24. As above, the scaled base surface area will be (1/4)^2 = 1/16 of its original value. Since one dimension of the lateral area is multiplied by 4 and the other dimension is multiplied by 1/4, the net effect on that area is multiplication by (1/4)(4) = 1. That is, the lateral area will remain unchanged.
The overall surface area will be reduced by 15/16 of the area of the bases. The area of the bases is (2)(1/2)(8 m)(16 m) = 128 m^2. The changed figure will have a surface area that is 120 m^2 smaller.
What is the 8th term for this sequence -3, -12, -48, -192,...
Answers
Answer:
-49152
Step-by-step explanation:
The pattern is:
multiply for 4
then:
-3, -12, -48, -192, -768, -3072, -12288, -49152