Answer:
A
Step-by-step explanation:
[tex]\frac{10}{9+\sqrt{7} }[/tex]
To rationalise the denominator multiply the numerator and denominator by the conjugate of the denominator.
the conjugate of 9 + [tex]\sqrt{7}[/tex] is 9 - [tex]\sqrt{7}[/tex]
= [tex]\frac{10(9-\sqrt{7}) }{(9+\sqrt{7})(9-\sqrt{7}) }[/tex] ← expand denominator using FOIL
= [tex]\frac{90-10\sqrt{7} }{81-7}[/tex]
= [tex]\frac{90-10\sqrt{7} }{74}[/tex] ( divide terms on numerator/ denominator by 2 )
= [tex]\frac{45-5\sqrt{7} }{37}[/tex] → A
Answer:
A[tex]\frac{45-5\sqrt7}{37}[/tex]
Step-by-step explanation:
Easy. First let's multiply numerator and denominator by [tex]9-\sqrt7[/tex] since we will create a difference of squares to get rid of the root, then start doing the calculations
[tex]\frac{10(9-\sqrt7)}{(9+sqrt7)(9-\sqrt7)}=\frac{10(9-\sqrt7)}{81-7} = \frac{10(9-\sqrt7)}{74} =\\\frac{5(9-\sqrt7)}{37}=\frac{45-5\sqrt7}{37}[/tex]
HELP MY GRADE 9 PLS AND THANK YOU
Answer:
64x²y²
Step-by-step explanation:
Use the great smart calculator
hope it helpz uuuuuuu
Hey would really appreciate the help!
Answer:
a. (2c+1b)-1w
b. monomial
Step-by-step explanation:
what’s the answer and how did you get it? please help
Answer:
1/m^5
Step-by-step explanation:
express with a positive exponent using x^-n = 1/x^n
Answer:
[tex]c)\: \cfrac{1}{m^5}[/tex]
Step-by-step explanation:
[tex]m^{-5}[/tex]
Apply the exponent rule:
[tex]m^{-5}[/tex]
[tex]\cfrac{1}{m^5}[/tex]
Hope it helps! :)
8x3+26x2+19x+3 is divided by 4x+3
Answer:
Remainder=35.25
Quotient = 2x²+8x+10.7
HELPPPP THIS IS SO HARD
Answer:
T'''(2, 6)
Step-by-step explanation:
The transformations used in this problem are ...
(x, y) ⇒ (-x, -y) . . . . . rotation 180° about the origin
(x, y) ⇒ (x +h, y +k) . . . . translation h right and k up
(x, y) ⇒ (y, x) . . . . . . reflection over the line y=x
__
Applying these transformations to point T(-5, -4), we have ...
1. T(-5, -4) ⇒ T'(5, 4)
2. (h, k) = (1, -2), so we get ...
T'(5, 4) ⇒ T"(5 +1, 4 -2) = T"(6, 2)
3. T"(6, 2) ⇒ T'''(2, 6) . . . . straightforward application of the separate transformations
Choose the correct product of (7x − 6)2. 49x2 84x 36 49x2 − 36 49x2 36 49x2 − 84x 36.
Answer:
the answer for this question is 49x²-84x+36
hope it helps
Answer:49x²-84x+36
Step-by-step explanation:
the Nth term of a geometric sequence is given by this equation, solve it and show ALL of your steps. 4 through 7
Answer:
I dont know the answers but here is an example( look at screenshots)
Step-by-step explanation:
The points F(4,
-2), G(9,
-6), H (8, -1), and I (5, 2) form a quadrilateral. Find
the desired slopes and lengths, then fill in the words that BEST identifies the type of
quadrilateral.
(PICTURE BELOW)
slope of GH
and
lenght of FG
Tamika swims 2 7/10 kilometers a day,
4 days a week. How far does she swim
each week? Find 4 x2 7/10
A square has a perimeter of 39.6 millimeters. What is the length of each side?
Answer:
9.9 millimeters
Step-by-step explanation:
To find the perimeter of a square,
Equation: 4 • length = P
So in this case, we're just working backwards. To find the length, divide.
39.6/4 = 9.9
Answer:
9.9 mm
Step-by-step explanation:
let [tex]x[/tex] = length of one edge of the square
perimeter of a square = 4[tex]x[/tex]
⇒ 39.6 = 4[tex]x[/tex]
⇒ [tex]x[/tex] = 39.6 ÷ 4 = 9.9 mm
Rita had only $5.00 in her piggy bank, and she decided to start saving more. She saves $5.00 every 6 days. After how many days will she have $30.00 in the piggy bank
Answer:
30 days
Step-by-step explanation:
she starts with $5, so she needs $25 more to have $30.
if she saves $5 ever six days, she needs to do this five times to reach $30.
6*5=30
good luck :)
Which expression is equivalent to the following complex fraction?
Answer:
The answer is 2y -1 over 3y+1 ( last multiple choice)
Step-by-step explanation:
- move the y's beside the 3 and 2 to get rid of the 1/y fraction
y=28(0.25)^x WHAT IS THE FREAKING PERCENT? Thank you! <3?
Answer:
75%
Step-by-step explanation:
You go to a restaurant and have $45 to spend. You get a drink for $3.00 and an appetizer for
$11. How much can you spend on the rest of your meal and still be able to a 20% tip and 7%
tax? Show the equation you set up and the steps how you find the amount you can spend.
Answer:
if the tip is 20% and 7%, it means that the meal MUST cost less than 32.85.
the reason behind this is that if we have $45 to spend it means that each 1% is 0.45 and 0.45x27=12.15 meaning that if we subtract this from $45 we get 32.85.
Now we have already spent $14 on our drink and appetizer so 32.85-14=18.85 we can only spend 18.85 on our meal
9. Which set of ratios below is NOT equivalent
to 3:4?
the
bu
A. 6 to 9,
q
12
B.) 9 to 12, 20
15
Answer:
A
Step-by-step explanation: {reduction}
{[tex]\frac{2X3}{3X3}=\frac{2}{3}[/tex]} {[tex]\frac{3X3}{3X4}=\frac{3}{4}[/tex]}
A. 6 to 9 7'5 [tex]\frac{6}{9}=\frac{2}{3} , \frac{9}{12}=\frac{3}{4}[/tex]
{[tex]\frac{3X3}{3X4}=\frac{3}{4}[/tex]}
B. 9 to 12 7'5 [tex]\frac{9}{12}=\frac{3}{4} , \frac{15}{20}=\frac{3X5}{4X5}=\frac{3}{4}[/tex]
C. [tex]\frac{15}{20}=\frac{3}{4} ,[/tex] 24 = 32 = 3 × 8: 4 ×8 = 3 = 4
D. [tex]\frac{30}{40}=\frac{3X10}{4X10}=\frac{3}{4} , 18:24=3X6=4X6=3:4[/tex]
choose A
Two fair 6 sided number cubes are rolled. What is the probability of rolling a sum of 11?
Question 3 options:
1/6
1/36
1/18
11/36
8 and 9 plus explanation pls
Answer:
42
Step-by-step explanation:
What is the volume of this sphere? Use 3. 14 for pi and round to the nearest hundredth when necessary. 50. 24 m³ 267. 95 m³ 1607. 68 m³ 2143. 57 m³.
Volume of a figure is the measurement of space occupied by the figure. The volume of the specified sphere is given by Option B: 267. 95 m³
What is the volume of sphere?If the given sphere is of radius r units, then its volume is given as:
[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]
For the given sphere, its diameter is 8 units, thus, its radius is half of its diameter and thus, of 4 units.
Thus, volume of specified sphere is obtained as:
[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3\\\\V = \dfrac{4}{3} \pi (4)^3 =\dfrac{256}{3} \times 3.14 \approx 267.95 \: m^3[/tex]
Thus,
Volume of a figure is the measurement of space occupied by the figure. The volume of the specified sphere is given by Option B: 267. 95 m³
Learn more about volume of sphere here:
https://brainly.com/question/381274
How do I do this? Please help!
I already answered this question, if you look back in your questions you should find this answered along with another one. I'll do it again just in case you don't find it.
Answer:
{y,x} = {-4,-2}
Expanation:
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 2x
// Plug this in for variable y in equation [2]
[2] -2•(2x) - 8x = 24
[2] - 12x = 24
// Solve equation [2] for the variable x
[2] 12x = - 24
[2] x = - 2
// By now we know this much :
y = 2x
x = -2
// Use the x value to solve for y
y = 2(-2) = -4
Math asap!! Will give brainliest
Step-by-step explanation:
line QS = RS
line KJ = half of line KC
A small school employs 5 teachers who make between $40,000,and 70,000 per year.
The newest teacher, Valerie, decides to teach part-time which decreases her salary from 40,000 to 20,000 per year. The rest of the salaries stay the same.
How will decreasing Valerie's salary affect the mean and median?
HELP PLEASE
Answer:
Its B
Step-by-step explanation:
No of teachers in the school = 5
Salaries they make =40000 to 70000
When one of the five teachers reduce salary to 20000/- per year, median may or may not shift one number to the left
Mean will definitely decrease by difference/5 = 4000 dollars
Thus mean will defintely change by reduction of 4000 dollars.
Median has a chance to remain the same or may shift left side one item.
.i need help w this pls!!
For simplifying this fraction, let first consider it as
[tex]{:\implies \quad \sf \dfrac{x}{y}-1}[/tex]
If we take LCM, and simplify it further, we will be having ;
[tex]{:\implies \quad \sf \dfrac{x\cdot 1-1\cdot y}{y}}[/tex]
[tex]{:\implies \quad \boxed{\bf{\dfrac{x-y}{y}}}}[/tex]
This is the required answer
helpp pleacee??!!!!!
Answer:
9
Step-by-step explanation:
I need to write 20 characters
In basketball, some baskets are worth two points. Others are worth three points. In one game, the ratio of three-point baskets to three-point tries for one team was 3 : 4. If the team scored 27 points from three-point baskets, how many three-point tries did the team have?
Answer:
Writing the information in the form of ratio
Three point basket = Three point tries
3 : 4
27 : x
Think about multiplication , how many 3s do you need to make 27 ?
Its 27 ÷ 3= 9
Because you need 9 lots of 3, Then to make it proportional , you'd need 9 lots of 4
9×4 = 36
Three points tries is 36
If f(x)= x^2-25 and g(x)=x-5, what is the domain of (f/g)(x)?
Answer:
B) all real values of x except x=5
Step-by-step explanation:
If [tex]f(x)=x^2-25[/tex] and [tex]g(x)=x-5[/tex], then [tex]\bigr(\frac{f}{g}\bigr)(x)=\frac{f(x)}{g(x)}=\frac{x^2-25}{x-5}=\frac{(x-5)(x+5)}{(x-5)}[/tex].
Given that [tex]x-5[/tex] exists in both the numerator and denominator, this creates a hole on the graph of the function where [tex]x=5[/tex] since [tex]5-5=0[/tex]all real values of x except x=5 is correct.
Review the attached graph for more information
A random sample of 24 corporate-owned stores finds an average number of customers of 313 with a standard deviation of 34.9. What is the upper bound of a 95% confidence interval for the average number of customers in corporate-owned stores
Answer:
95% is 1700 customers
Step-by-step explanation:
JK i actually dont know but thnks for the points BTW
what is 4.09 less than 5.6 ??
Answer: -1.51, or it could be 4.09 < 5.6 (Im sorry if I get it wrong I just wanted to help)
Step-by-step explanation:
The value of the subtraction is 1.51.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given numbers are 4.09 and 5.6. The value of 4.09 less than 5.6 will be calculated as:-
Subtraction = 5.6 - 4.09
Subtraction = 1.51
Therefore, the value of the subtraction is 1.51.
To know more about an expression follow
https://brainly.com/question/25421984
#SPJ2
In the figure above, the measure of <BDE is 20 and CD is perpendicular to DE. What is the measure of <ADC ?
Answer:
∠ ADC = 110°
Step-by-step explanation:
∠ CDE = 90° ( angle between perpendicular lines ) , then
∠ CDB + ∠ BDE = 90°
∠ CDB + 20° = 90° ( subtract 20° from both sides )
∠ CDB = 70°
∠ ADC and ∠ CDB are adjacent angles on a straight line and sum to 180° , so
∠ ADC + ∠ CDB = 180° , that is
∠ ADC + 70° = 180° ( subtract 70° from both sides )
∠ ADC = 110°
Solve the equation below pls show your work no links pls.
[tex](9^{2} )^{-1/3}[/tex]
Given :-
[tex](9^{2} )^{-1/3}[/tex]To Find :-
To solve the expression .Solution :-
Given expression to us is ,
[tex](9^{2} )^{-1/3}[/tex]
We know that ,
[tex] 9 = 3^2[/tex]
So our expression becomes ,
[tex]\{ (3^2)^2\}^{\frac{-1}{3}}[/tex]
And , [tex] (a^m)^n =a^{mn}[/tex] . Using this ,
[tex] (3^4)^{\frac{-1}{3}}[/tex]
Again using the same law ,
[tex] 3^{\frac{-4}{3}}[/tex]
We know that , [tex] a^{-m}=\frac{1}{a^m}[/tex] . Therefore ,
[tex] (3^{-4})^{\frac{1}{3}}[/tex]
[tex]\\\bigg( \dfrac{1}{3^4}\bigg)^{1/3}[/tex]
[tex]\\ \dfrac{1}{\sqrt[3]{3^4}}[/tex]
Simplify ,
[tex] \dfrac{1}{3\sqrt[3]{3}}[/tex]
This is the simplified expression.
I hope this helps.
Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
248 legs. Assuming there are no mutations in the animals, determine exactly how many ducks and cows he saw. Let
X represent the number of ducks and y represent the cows.
Total Equation:
Legs Equation:
How many ducks?
How many cows?
Answers:
Total equation: x+y = 80Legs equation: 2x+4y = 248How many ducks? 36How many cows? 44====================================================
Further explanation:
x = number of ducksy = number of cowsx+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.
That equation can be solved to y = 80-x after subtracting x from both sides.
The legs equation is 2x+4y = 248 because...
2x = number of legs from all the ducks only4y = number of legs from all the cows only2x+4y = total number of legs from both types of animals combinedWe're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248
------------
Let's plug y = 80-x into the second equation and solve for x.
2x+4y = 248
2x+4( y ) = 248
2x+4( 80-x ) = 248
2x+320-4x = 248
-2x+320 = 248
-2x = 248-320
-2x = -72
x = -72/(-2)
x = 36
There are 36 ducks
Now use this x value to find y
y = 80-x
y = 80-36
y = 44
There are 44 cows.
------------
Check:
36 ducks + 44 cows = 80 animals total
36*2 + 44*4 = 72 + 176 = 248 legs total
The answers are confirmed.