Step-by-step explanation:
7 √(1/3) - 2 1/3 √(1/3) +3√147
→7(1/√3) - (7/3)(1/√3) +3√(3×7×7)
→ (7/√3) - (7/3√3) +3×7√3
→ (7/√3) - (7/3√3) + 21√3
On Rationalising the denominators then
→ [ 7√3/(√3×√3)]-[7√3/(3×√3×√3) +21√3
The Rationalising factor of√3 =√3
→ (7√3/3)-[7√3/(3×3)]+21√3
→ (7√3/3)-(7√3/9)+21√3
LCM of 3 and 9 = 9
→ [(3×7√3)-(7√3)+(9×21√3)]/9
→ (21√3-7√3+189√3)/9
→[(21-7+189)√3]/9
→ [(210-7)√3]/9
→ 203√3/9 Ans.
Hope this helps.
The ratio of boys and girls are 2:5. If the total number of students in school are 350, find the number of girls.
Answer:
250 girls
Step-by-step explanation:
Add the ratio together (2+5=7), then do 350÷7=50
50 is one part of the ratio so to find how many girls, you would do 50x5=250
Write the product as a power.
18 x 18 x 18 x 18 =
Answer:
[tex]18^{4}[/tex]
Step-by-step explanation:
You multiply it by itself 4 times, therefore being 18 to the power of 4
Answer:
[tex]18^{4}[/tex]
Step-by-step explanation:
A power is simply how many times a number is multiplied by itself. Since the question is 18 multiplied by itself four times (count the number of 18s), the power is 4.
1 year = 365 days
1 day = 24 hours
How many years is 1,000,000 hours?
Has to be dimensional analysis
Answer: 41,667
Step-by-step explanation:
1,000,000 divided by 24= 41,666.666
you should round this answer up if your question asks for that to 41,667
solve pls brainliest
Answer:
1/3
Step-by-step explanation:
If x = 5-2√6, find the value of:
(i) x + 1/x
(ii) x² + 1/x²
Please solve ASAP
Answer:
x+(1/x) = 10 and x²+ (1/x²) = 98Step-by-step explanation:
Given that :
x = 5-2√6
1/x = 1/(5-2√6)
The denominator = 5-2√6
The Rationalising factor of 5-2√6 = 5+2√6
On Rationalising the denominator then
⇛ 1/x = [1/(5-2√6)]×[(5+2√6)/5+2√6)]
⇛ 1/x = (5+2√6)/[5-2√6)(5+2√6)]
⇛ 1/x = (5+2√6)/[5²-(2√6)²]
Since (a+b)(a-b) = a²-b²
Where ,
a = 5 and b = 2√6⇛1/x = (5+2√6)/(25-24)
⇛ 1/x = (5+2√6)/1
⇛ 1/x = 5+2√6
Now,
x +(1/x)
⇛ 5-2√6+5+2√6
⇛ 5+5
⇛ 10
Therefore, x+(1/x) = 10.
On squaring both sides then
⇛ [x+(1/x)]² = 10²
⇛ x²+2(x)(1/x)+(1/x)² =100
⇛ x²+2+(1/x)² = 100
⇛ x²+(1/x²) = 100-2
⇛ x²+(1/x²) = 98
Therefore, x²+(1/x²) = 98.
Read more:
Similar questions;
Check all that apply. 2(x + 2) + 2 = 2(x + 3) + 1 2x + 3(x + 5) = 5(x – 3) 4(x + 3) = x + 12 4 – (2x + 5) = 1/2 (–4x – 2) 5(x + 4) – x = 4(x + 5) – 1.....
https://brainly.com/question/24697983?referrer
What does ± indicate when its used like 2±1?
Answer:
it is in quadratic equation meaning you use Plus or minus
Answer:
I is both the plus and minus sign so and 2+1 and subtract 2-1 both answers are the answer
Step-by-step explanation:
The plus–minus sign, ±, is a mathematical symbol with multiple meanings. In mathematics, it generally indicates a choice of exactly two possible values, one of which is obtained through addition and the other through subtraction.
The sign may also represent an inclusive range of values that a reading might have.
Which equations and/or functions represent the graphed line? Select three options.
i included the graph and choices in the attachment (;
Answer:
1,3,4
Step-by-step explanation:
hope this helped
lulah is buying beach balls for her beach party. each package contains 6 beach balls
Answer:
what is the question where is the rest of the equation
Step-by-step explanation:
if you respond I will give you the right answer but hope you have a great rest of your night :)❤
What is -105/-77 simplified?
Answer:
[tex]\frac{-15}{-11}[/tex]
Step-by-step explanation:
To simplify more known as reduced we have to find the fraction as and equivalent fraction
DefinitionEquivalent Fraction - are the fractions that have different numerators and denominators but are equal to the same value.
Look for the GCFTo find the we must list out the of and
[tex]77:1, 7, 11 ,77\\\\1, 3, 5, 7, 15, 21, 35 , 105[/tex]
Our [tex]GCF[/tex] is [tex]7[/tex]
Our fraction[tex]\frac{-105}{-77}[/tex]ReduceDefinition of reduce - reduction refers to the rewriting of an expression into a simpler form
Divide the numerator and denominator by [tex]7[/tex]
Our fraction is [tex]\frac{-15}{-11}[/tex]f(x) = -4x2 + 4x – 4
Find f(3)
F(3) occurs when x =3. So lets plug 3 into our equation.
[tex]f(3) = -4(3)^2 + 4(3)-4\\f(3) = -4(9) + 12- 4\\f(3) = -36 + 12- 4\\f(3)= -28[/tex]
F(3) = -28
I hope this helps! :)
A baker needs to arrange 487 cookies on plates.
Each plate can hold 8 cookies. How many plates will
the baker need
Based on the information given the number of plates that the baker will need is 61 plates.
Using this formula
Number of plates=Number of cookies arranged/Each plates number of cookies
Where:
Number of cookies arranged=487
Each plates number of cookies=8
Let plug in the formula
Number of plates=487/8
Number of plates=60.9
Number of plates=61 plates (Approximately)
Inconclusion the number of plates that the baker will need is 61 plates.
Learn more here:https://brainly.com/question/25130978
Can somebody answer this with A ANSWER and not sum else whoever does I will give brainiest
Answer:
911,250
Step-by-step explanation:
4050 · 225 = 911,250
Number 14 pls help I am stuck
Answer:
72 hectares
Step-by-step explanation:
The dimensions of the rectangle on the ground will be 20,000 times the dimensions shown in the drawing:
20,000×3 cm = 60,000 cm = 600 m
20,000×6 cm = 120,000 cm = 1200 m
The area of the land is ...
A = LW = (1200 m)(600 m) = 720,000 m²
1 hectare is 10,000 m², so this is ...
720,000 m² × (1 ha)/(10,000 m²) = 72 ha
The area of the plot is 72 hectares.
8.) The grocery store is having a sale on frozen vegetables. 4 bags are being sold for $11.96. At this rate, what is the cost of:
a) 1 bag
b) 9 bags
Answer:
a) $2.99
b) $26.91
Step-by-step explanation:
Since 4 bags cost $11.96, you can find the price of an individual bag by dividing $11.96 by 4.
Since
$11.96 / 4 = $2.99
One bag costs $2.99
To find the price of 9 bags, just multiply 2.99$ by 9:
$2.99 * 9 = $26.91
can someone help me ?
Which of the following are true?
3^6 x 3^-3 = 27
3^3 x 3^-6 = 1/27
3^2 x 3^1 = 27
3^4 x 3^-1 = 1/27
Answer:
i think that all of them EXCEPT the last one are correct. Explained below
Solve each inequality. Graph and check the solution.
e
1.
<3
2
0 1 2 3 4 5 6 7 8 9 10 11
Answer:
xxxx
Step-by-step explanation:
What is the place value of 8 in 4.08?
20+ Points
Answer: The place value of 8 is in the hundredths. This would be called four and eight hundredths.
Would appreciate brainly <3
Hello there!
The value of 8 is:
Hundredths
The second number after the decimal point is in the hundredths place.
Hope it helps!
Please mark brainliest!
~Just a determined gal
[tex]MysteriousNature[/tex] here to help
What price do farmers get for their watermelon crops? In the third week of July, a random sample of 40 farming regions gave a sample mean of x bar = $6.88 per 100 pounds of watermelon. Assume that is known to be $2.00 per 100 pounds. (a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop (in dollars). What is the margin of error (in dollars)? (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ upper limit $ margin of error $ (b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.29 for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.) farming regions (c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop (in dollars). What is the margin of error (in dollars)? Hint: 1 ton is 2000 pounds. (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ upper limit $ margin of error $
BBCdfinancial
Answer:
antiquarian
Step-by-step explanation:
Spanish civic
A baseball pitcher has made 53 pitches in the first four innings of a baseball game and plans to pitch 3 mote innings. The manager of the team has committed to allowing his pitcher to throw, at most, pitches during the game. Write an inequality to find the average number of pitches the pitcher can throw over the next three innings Solve the inequality from Part 1. What is the maximum number of pitches the pitcher can make in cach of the next 3 innings ? Graph your solution from Part 2 on a number line and explain what your solution means. If the pitcher threw just 6 pitches in the fifth inning, what is the greatest number of pitches the pitcher can throw per inning he wishes to pitch nine innings? Write and solve an inequality to answer this part.
Answer:
at most 17 pitches per inning
Step-by-step explanation:
It is given that a baseball pitcher makes 53 pitches in the first 4 innings of a game and plans to pitch in the next 3 innings.
We need to write and solve an inequality to find the possible average pitches per inning the pitcher made in the next 3 innings if the pitcher is assigned a maximum of 105 pitches.
From part (a) we know 3 p + 53 3p+53 represents the total number of pitches made if the pitcher makes an average of p pitches per inning in the next 3 innings.
If the pitcher can make at most 105 pitches, then:
3 p + 53 ≤ 105 3p+53≤105
To solve the inequality, first subtract 53 on both sides of the inequality to isolate the variable term:
3 p + 53 − 53 ≤ 105 − 53 3 p ≤ 53
3p+53≤105 [tex]p\leq 17\frac{1}{3}[/tex]
at most 17 pitches per inning
(Hope this helps can I pls have brainlist (crown)☺️)
Calculate percentage to the nearest 0.1%.
The markup on desserts in a restaurant is 70% of the menu price. The restaurant is adding key lime pie to its dessert list.
The cost to the restaurant works out to $1.25 per slice.
Determine:
a. The menu price of a slice of pie. (Round your answer to the nearest cent.)
Price
$
b. The rate of markup on cost. (Round your answer to one decimal place.)
Rate
%
9514 1404 393
Answer:
a. $4.17
b. 233.3%
Step-by-step explanation:
a. The proportion the markup (m) is to the total (t) is ...
m : t = 7 : 10
The total is the cost (c) plus the markup, so we have ...
m : t = 7 : 10 = m : (m +c) = 7 : 7 +3
Then the ratio of total price to cost is ...
t : c = 10 : 3
The menu price of the pie slice will be ...
$1.25 × 7/3 ≈ $4.17
__
b. The ratio of markup to cost is ...
m : c = 7 : 3 ≈ 2.333 = 233.3%
Can someone write the equation of the line that passes through the points ( -3, 2) and ( -1, 6)? I suck at math and need help.
Answer:
Y=2x+8
Step-by-step explanation:
Plot points on graph and connect with line. Find slope and y intercept
which inequality is true when the value of H is -14 I'ma post a picture
Answer:
h + 10 > - 9.5 is the correct answer
The chief engineer is in charge of deciding the mountainous road-network that will be kept open (cleared of debris and maintained regularly) during the winter months. Each road connects different small towns in the mountains, and all towns are connected to each other either directly or indirectly. Each road is associated with a value indicating the level of danger in maintaining that road during winter months. There are many subsets of roads such that the roads in such subsets keep the towns connected directly or indirectly. Each subset is assigned a cost of maintenance, which is directly proportional to the highest danger level of the road present in that subset. The engineer wants to select the smallest subset that keeps the towns connected directly or indirectly and that also has the lowest cost of maintenance. Develop an algorithm to find such a subset. Justify the correctness of your algorithm and derive its runtime.
Answer:
I dont know the answer to it
100 POINTS If x and y are real numbers, what is the simplified radical form of [tex](x^{2} y^{5} )^{\frac{1}{5} }[/tex]
Answer: [tex]x^{2/5}[/tex][tex]y[/tex]
Step-by-step explanation:
([tex]x^{2}[/tex][tex]y^{5}[/tex])^[tex]^{1/5}[/tex]
= [tex]x^{2/5}[/tex][tex]y[/tex]
True or false, the two triangles are congruent by ASA
O true
false
Answer:the answer is true
Step-by-step explanation:
Because the two triangle are congruent ASA
Calculate the probability P(E).
The Heavy Weather Service predicts that for tomorrow there is a 50% chance of tornadoes, a 25% chance of a monsoon, and a 15% chance of both. What is the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon?
The probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon is 0.85
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total putcome
If there is a 15% chance that tornadoes and monsoon will occur, hence the
the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon will be expressed as:
Pr(neither tornadoes nor a monsoon) = 1 - Pr(both will occur)
Pr(neither tornadoes nor a monsoon) = 1 - 0.15
Pr(neither tornadoes nor a monsoon) = 0.85 = 85%
Hence the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon is 0.85
Learn more on probability here: https://brainly.com/question/13604758
The two legs of a right triangle are and . The hypotenuse is . Solve for in terms of the other variables.
What's the answer I'm very confused.
Answer:
the answer is c
Step-by-step explanation:
u welcome
The value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).
What is the Pythagoras Theorem?According to the Pythagoras Theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
How to solve the question?In the question, we are shown a right triangle with the hypotenuse as t, and the legs as r and s.
We are asked to solve for r in terms of other variables.
By Pythagoras theorem in the given right triangle, we can say that:
r² + s² = t², which is the required equation.
To solve for r in terms of other variables, we do as follows:
r² + s² = t²,
or, r² + s² - s² = t² - s² {Subtracting s² from both sides of the equation},
or, r² = t² - s² {Simplifying},
or, r = √(t² - s²) {Square rooting both sides of the equation}.
Thus, the value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).
Learn more about the Pythagoras theorem at
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#SPJ2
Simplify the expression ((1/2)^3)^3
Helppp
A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angles?
9514 1404 393
Answer:
55° : 70°
Step-by-step explanation:
The sum of the two other angles is ...
180° -55° = 125°
The sum of the ratio units is 11+14 = 25. Each ratio unit stands for 125°/25 = 5°. Then the other two angles are ...
11×5° = 55°
14×5° = 70°
Answer:
55° and 70°
Step-by-step explanation:
A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angles?
the sum of the internal angles of a triangle is 180 °, we take 55 ° of the known angle and we have the sum of the other two, 125 °, the ratio is 11:14, one is 11 units and one is 14 units, we add them and we divide 125 ° by (11 + 14) = 25 and we have a unit, 125: 25 = 5. now we multiply the unit first by 11 and then by 14 and find the measure of the angles.
11 * 5 = 55°
14 * 5 = 70°
--------------------
check
55 + 55 + 70 = 180°
the sum of the interior angles of a triangle is 180,
so
the answer is good
solve pls brainliest
We have: 103/20= 5,15 ; 5 2/9= 5,(2)
So the answer is:
103/20 < 5.169 < 5.19 < 5 1/2
ok done. Thank to me :>
