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
Learn more about square root here:
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Six times a number is greater than 20 more than that number
Answer:
4
Step-by-step explanation:
The answer is 4
Answer:
4
Step-by-step explanation:
4
Josh biked to the park at an average speed of 14 mph. He returned home at an average speed of 10 mph. If Josh spent a total of 2 1/2 hours for the roundtrip, how many total miles did he bike?
Answer:
Let the distance from home to the park be x
Going to the park
Distance=vt
x=14t¹ ——(1)
Going back home
x=10t² ——(2)
Total time=t¹+t²
2.5=t¹+t²
Solving equ. 1 and 2 simultaneously
10x=140t¹
14x=140t²
Adding
4x=140(t¹+t²)
24x=140(2.5)
x=14.58 miles
Total distance= 2x
= 29.16miles
Step-by-step explanation:
Zula has a conical bird feeder with a volume of 64.3 cubic centimeters and a height of 7 centimeters. Which equation can be used to find the area of the circular lid needed to cover the bird feeder?
Answer: [tex]64.3=\frac{1}{3}(B)(7)[/tex]
Step-by-step explanation:
[tex]V=\frac{1}{3} Bh[/tex]
B is the area of the base
h is the height of the cone
[tex]V=64.3 cm^3[/tex]
[tex]h=7cm[/tex]
[tex]64.3=\frac{1}{3}(B)(7)[/tex]
[tex]192.9=(B)(7)[/tex]
[tex]B=192.9/(7)[/tex]
[tex]=27.56cm^2[/tex]
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 151515 minutes longer than she does one day at practice. Write an equation for the number of minutes you swim, yyy, when your friend swims xxx number of minutes.
Answer:
y = x + 15
Step-by-step explanation:
My friend swims x minutes.
I swim 15 minutes more than my friends, so I swim x + 15 minutes.
I swim y minutes, so y equals x + 15
Answer: y = x + 15
anyone know how to solve a functions equation such as x^2-x-x <0
Answer:
Step-by-step explanation:
[tex]x^{2} -x-x<[/tex] 0
[tex]x^{2} -2x[/tex] < 0
x^2-2x+1<1
(x-1）^2<1
-1<x-1<1
0<x<2
[tex](x-1)^{2}[/tex][tex](x-1)^{2}[/tex]
which of these correctly rearranges the terms in this polynomial so like terms are next to each other ? 3-6x+4x^2+3x-6x^2-4 PLEASE HELP!!
Answer:
A is the answer
Step-by-step explanation:
Answer:
the answer is A.
Step-by-step explanation:
Vladimir builds 3 legged stools and 4 legged tables. Last month he used 72 legs to build 3 more stools than tables. How many stools and how many tables did he build?
Answer:
9 tables
12 stools
Step-by-step explanation:
x= number of tables
x+3= number of stools
4x+3(x+3)=72
4x+3x+9=72
4x+3x=72-9
7x=63
x=9
So he built 9 tables and 12 stools
(9x4=36, 3X12=36, 36+36=72) CHECK
It says to find the area of the shaded square, but I not sure how to get the answer.
Answer:
68 square cm
Step-by-step explanation:
Interior square WXYZ is making four right triangles of equal bases (8 cm) and heights (2 cm) inside the square ABCD. Therefore,
Area of shaded Square = Area of square ABCD - 4 times area of one right triangle.
[tex] = {10}^{2} - 4 \times \frac{1}{2} \times 8 \times 2 \\ = 100 - 32 \\ = 68 \: {cm}^{2} [/tex]
1)A cylindrical container has a diameter of 14cm and a height of 20cm and is full of water. A student pours the water into another cylinder of diameter 20cm. How deep is the water in the second cylinder?
2)A cylindrical water tank is 70cm in diameter. To begin with, it is full of water. A leak starts at the bottom so that it loses 10l of water every hour. How long will it take for the water level to fall by 20cm?
3) A cylindrical storage vessel is 4m in diameter and 31/2m deep. How many kilolitres will it hold?
1) 9.8 cm
3) 194.68 kilo litters
Step By Step Explanation
Sister these questions are related to volume of cylinder.
You need to use this formula πr²h [ Where r is radius and h is height or depth]
_______________________________________
3)
Given:
Diameter = 4m
Therefore radius = 2m
Depth is 31/2 m
To Find:
How many kilo litters will it hold ?
Actually It's asking about Volume.
Solution:
You know, volume = πr²h
[tex] = \pi {(2 \: m)}^{2} \times ( \dfrac{31}{2})m[/tex]
[tex] = 3.14 \times 4 \: {m}^{2} \times \dfrac{31}{2} m[/tex]
[tex] = \: 62 \times 3.14 \times {m}^{3} \sf [\because \: {m}^{3} = kilolitters][/tex]
[tex] = \sf 194.68 \: \: kilolitters[/tex]
_______________________________________
1)
Given:
Diameter = 14 cm
[tex] \sf \therefore \: radius \: = 7 \: cm[/tex]
height = 20 cm
Diameter of other cylinder = 20 cm
[tex] \sf \therefore \: radius = 10 \: cm[/tex]
To Find:
Deep of water in other cylinder
Consider the depth of water be x
Solution:
Volume of water will remain constant in both
So,
[tex]V_1 = V_2[/tex]
[tex] \sf \: \pi {(r_1)}^{2} h_1 = \pi {( r_2 )}^{2} h_2[/tex]
[Eliminating π from both sides]
[tex] {(7)}^{2} \times 20= {(10)}^{2}x[/tex]
[tex]49 \times 20 = 100x [/tex]
[tex]x = \dfrac{49 \times 2}{10} [/tex]
[tex]x = \dfrac{98}{10} \implies \: 9.8[/tex]
Therefore the required value of x is 9.8 cm .
The minimal passing score for a test is 80%. There are 12 exercises on the test. What is the minimum number of correct exercises needed to earn a passing score?
Getting each exercise correct gets you 8.3(recurring)%. Therefore if you answer 10 exercises correctly you get 83.3%, and if you answer 9 exercises correctly you get 75%, this means that the minimal exercises you need to get correct is 10.
for 0°<θ<-180° which of the primary trigonometric functions may have positive values?
sine and cosecant.
you can see the graph or on unit circle, as the for these ratios, (which depend on y coordinate) 1st and 2nd quadrant have positive y coordinate
How many faces does a dodecahedron have?
Answer:
A dodecahedron has 12 faces
Answer:
Answer is
Step-by-step explanation:
A dodecahedron has 12 faces.
Hope this helps....
Have a nice day!!!!
There are 55 students in mr.fishers p.e class. There are 30 6th graders and 25 7th graders in the class. What is the ratio of 6th graders to 7th graders in nr.fishers class
Answer:
6:5
Step-by-step explanation:
It's 6:5 trust homie
Solve for a.
ab+c=d
a= b + c/d
a = b/(c-d)
a = (d - c)/b
Answer:
A=d-c/b
Step-by-step explanation:
Answer:
ab+c=d
Step-by-step explanation:
just took the test
If 48% of the students in a certain college are female and there are 1440 female students, what is the total number of students in the college?
Answer:
3000 students
Step-by-step explanation:
If 48% of the students are female, and there are 1440 female students, we can set up a percentage proportion, assuming x is the total amount of students.
[tex]\frac{1440}{x} = \frac{48}{100}[/tex]
We can use the cross products property to find the value of x.
[tex]1440\cdot100=144000\\\\144000\div48=3000[/tex]
Hope this helped!
HELP! answer if you can !!
Answer:
The formula for ABC Triangle
(AB×AC)/2
= (4.7×2.4)/
= 11,28/2
= 5,64 in²
The growth of a population of mountain lions can be described by the function f(x) = 500(1.015)^x, where x is the number of years after the first census. How do the mathematical domain and range compare to the reasonable domain and range? Check all that apply. Thank you!
Answer:
B E
Step-by-step explanation:
Answer:
B. The mathematical domain is the set of real numbers, while the reasonable domain only includes real numbers greater than or equal to 0.
E. The mathematical range has a minimum value greater than 0, while the reasonable range is limited to whole numbers and has a minimum value greater than or equal to 500.
Step-by-step explanation:
Edge 2021
the first four terms of the sequence an=2n+3are
answer
5,8,11,14
3,5,7,9
1,3,5,7
5,7,9,11
Step-by-step explanation:
Hey, there!!!
Your required answer is optionD.
checking,
The 1st sequences are,
5,8,11,14
here,
now, use formula,
(an = 2n+3) in the sequences,
a1 = 2×1+3=5 = matching
a2= 2×2+3=7 = not matched
a3= 2×3+3= 9 = not matched
a4= 2×4+3=11 = not matched.
For 2nd sequences
3,5,7,9
Use the formula of an term,
a1 = 2×1+3=5 = not matched
a2 =2×2+3=7not matched
a3 = 2×3+3=9= not matched.
For 3rd sequences,
1,3,5,7
a1=2×1+3=5= not matched
a2=2×2+3=7= not matched
a3=2×3+3=9= not matched
a4=2×4+3=11= not matched
Now, for 4th sequences,
5,79,11
a1=2×1+3=5= matching
a2=2×2+3=7= matching
a3= 2×3+3=9= matching
a4=2×4+4=11= matching
Therefore, the answer is option D.
Hope it helps..
Two pipes A and B can fill an empty tank in 3hrs and 5hrs respectively. Pipe C can empty the full tank in 6 hours. If the three pipes A, B, and Care opened at the same time, find how long it will take for the tank to be full. *
Answer:
30/11 (hours)
Step-by-step explanation:
Pipe A can fill the tank until it is full in 3 hours.
=> In 1 hour, pipe A can fill 1/3 of tank
Pipe B can fill the tank until it is full in 5 hours.
=> In 1 hour, pipe A can fill 1/5 of tank
Pipe C can empty the full tank in 6 hours.
=> In 1 hour, pipe A can empty 1/6 of tank
Assume that we open 3 pipes A, B, and C at the same time.
Then, in 1 hour, the amount of water in tank is:
A = 1/3 + 1/5 - 1/6 = 10/30 + 6/30 - 5/30 = 11/30 (tank)
=> The time to fill up the tank is:
T = 1/A = 1/(11/30) = 30/11 (hours)
Answer:
30/11
Step-by-step explanation:
Imagine the tank can hold x litre of water
So,A can fill x/3 litre water per hour
And B can fill x/5 litre water per hour
And C can reduce x/6 litre of water per hour which is filled by A and B.
So the gross calculation per hour is:
(x/3+x/5)-x/6
=11x/30
Now suppose it tooks 'a' hour to fill the tank.
So, a(11x/30)=x
⇨ a= (30/11x)x
⇨a=30/11
Type the correct answer in the box. Simplify this expression: 4(1 – 3x) + 7x – 8.
Answer:
-4 -5x
Step-by-step explanation:
4(1 – 3x) + 7x – 8.
Distribute
4 -12x +7x -8
Combine like terms
-4 -5x
Answer:
The simplified answer of this expression is -5x - 4
Step-by-step explanation:
4(1 - 3x) + 7x - 8
Distribute 4 to (1 - 3x)
4 - 12x + 7x - 8
Rearrange the terms so it'll be easier to combine them.
4 - 8 - 12x + 7x
Combine like terms.
-4 - 5x
Put the equation in standard form.
-5x - 4
Evaluate without actual multiplication 1) 95x96 2)103x107
Answer:
:
"(100 + 3) (100 + 7)
Now, by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 100 , a = 3 , b = 7
= (100)² + (3+7)*100 + (3*7)
= 10000 + 1000 + 21
= 11021
.
(110 - 7) (110 - 3)
by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 100 , a = (-7) , b = (-3)
= (110)² + { (-7) + (-3) }*110 + {(-7)*(-3)}
= 12100 + (-10)*110 + 21
= 21200 - 1100 + 21
= 11021
.
➖➖➖➖➖➖➖➖➖➖
.
(90 + 5) (90 + 6)
by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 90 , a = 5 , b = 6
= (90)² + (5+6)*90 + (5*6)
= 8100 + 990 + 30
= 9120
.
(100 - 5) (100 - 4)
by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 100 , a = (-5) , b = (-4)
= (100)² + { (-5) + (-4) }*100 + 20
= 10000 + (-9)*100 + 20
= 10000 - 9000 + 20
= 10020 - 900
= 9120
.
➖➖➖➖➖➖➖➖➖➖
.
(100 + 4) (100 - 4)
by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 100 , a = 4 , b = (-4)
= (100)² + { 4 + (-4) }*100 + 4*(-4)
= 10000 + (4 - 4)*100 - 16
= 10000 + 0*100 - 16
= 10000 - 16
= 9984
.
(90 + 14) (90 + 6)
by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 90 , a = 14 , b = 6
= (90)² + (14 + 6)*90 + (14*6)
= 8100 + 20*90 + 84
= 8100 + 1800 + 84
= 9984"
This answer was in another question
This answer was given by BloomingBud
Step-by-step explanation:
Answer:
1) 9120 2) 11021
Step-by-step explanation:
95 * 96 = (100-5)(100-4) = 10000 - 500 - 400 + 20 = 9120
103 * 107 = (100+3)(100+7) = 10000 + 300 + 700 + 21 = 11021
For what real numbers x is x 2 − 10 x + 25 negative?
Answer:
no real numbers
Step-by-step explanation:
x^2 − 10 x + 25
Factor
What 2 numbers multiply to 25 and add to -10
-5*-5 = 25
-5+-5 = -10
( x-5) (x-5)
This touches the graph at x =5
The parabola is positive so there are no values where the graph is negative
Answer:
No real solutions
Step-by-step explanation:
Part 1: Factoring the quadratic
The equation is in quadratic form - ax² + bx + c = 0.
Therefore, we can use a factoring technique to solve for x. I will use the quadratic formula - [tex]x=\frac{-b \pm \sqrt{b^{2}-4ac} }{2a}[/tex].
[tex]x=\frac{-(-10)\pm \sqrt{(-10)^{2}-4(1)(25)} }{2(1)}\\\\x=\frac{10\pm\sqrt{100-4(25)} }{2}\\\\x=\frac{10\pm\sqrt{100-100}}{2}\\\\x=\frac{10\pm\sqrt{0}}{2}\\\\x=\frac{10\pm0}{2}\\\\x=\frac{10}{2}\\\\\boxed{x=5}[/tex]
Part 2: Using discriminant to determine roots
Because the discriminant (square root portion of formula) was equivalent to zero, this is the only solution that proves the equation correctly. Therefore, there is no possible negative value that can be substituted for x without altering the final value that the equation is equal to.
Please answer it now
Answer:
x = 19
Step-by-step explanation:
The angles of a triangle add to 180
U and S are equal since they are the base angles and UT and ST are equal
S + T + U = 180
x + 26 + 90 + x+26 = 180
Combine like terms
2x +142 = 180
Subtract 142 from each side
2x = 38
Divide each side by 2
2x/2 = 38/2
x = 19
Answer:
19
Step-by-step explanation:
x+26+x+26+90 = 180
2x + 52 = 90
2x = 38
x = 19
i need help with this question
Answer:
1000ml
Step-by-step explanation:
4 days she drank ½ of the bottle
so she drank ⅛ l of juice everyday
so
1000ml is the answer
NEED IN NEXT HOUR solve the following equation: 20= 4t -5t^2
Answer:
2/5 ±i4/5sqrt(6)= t
Step-by-step explanation:
20= 4t -5t^2
Rewriting
20 = -5t^2 +4t
Divide by -5
20 = -5t^2 +4t
20/-5 = -5/-5t^2 +4/-5t
-4 = t^2 -4/5 t
Complete the square
Take the coefficient of t
-4/5
Divide by 2
-4/10 = -2/5
Square it
(-2/5)^2 = 4/25
Add to each side
-4 +4/25 = t^2 -4/5 t + 4/25
-100/25+4/25 = ( t-2/5)^2
-96/25 = ( t-2/5)^2
Take the square root of each side
sqrt(-96/25) = sqrt(( t-2/5)^2)
±isqrt(96/25)=( t-2/5)
±i4/5sqrt(6)=( t-2/5)
Add 2/5 to each side
2/5 ±i4/5sqrt(6)= t
Please please please please help
Answer:
[tex]10 {x}^{2} + ( - 18)[/tex]
Step-by-step explanation:
Inserting fx into gx we get
[tex]5(2 {x}^{2} - 5) + 7[/tex]
Which then becomes
[tex]10 {x}^{2} - 25 + 7[/tex]
And finally the answer is
[tex]10 {x}^{2} - 18[/tex]
1. At the end of one school day a teacher had 17 crayons left. The teacher remembered
giving out 14 crayons in the morning, getting 12 crayons back at recess, and giving out
11 crayons after lunch. How many crayons did the teacher have at the start of the
day?
Answer:
30 crayons
Step-by-step explanation:
Let x be the number of crayons he started with
gave out 14 crayons
x-14
Got 12 back
x-14+12
Gave out 11 after lunch
x-14+12 -11
This equals 17
x-14+12 -11 =17
Combine like terms
x-13 = 17
Add 13 to each side
x -13+13 =17+13
x = 30
Answer: 30
Step-by-step explanation:
For this problem work backwards. Start from 17 and add 14. You should get 31. Then subtract 12, which equals 19. Finally add 11 to 19, which equals 30. Basically you are doing the inverse operation to get your answer. Hope this helps!
The length of the major axis of the ellipse below is 10 What is the sum of the lengths of the red and blue line segments? A. 10 B. 5 C. 15 D. 20
Answer:
A. 10
Step-by-step explanation:
As we know that
The length of the major axis of the ellipse is 10
i.e
2 a = 10
Also, the ellipse is the curve that consists of 2 focal points in order that the total of the distance to the 2 focal points would remain constant for each and every point displayed in the curve
Now we assume that P is the curve point
So,
PF1 + PF2
i.e
2 a (blue line) + (red line)
2 a = 10
Therefore the sum of the length is 10
Answer:
10
Step-by-step explanation:
The number that is 75% of one less than a number n.
Answer:
The number is n-0.75
Step-by-step explanation:
Here in this question, we are interested in giving a number which is 75% of 1 less than a number n.
The first thing we do here is to calculate the value of 75% of 1.
That would be;
75/100 * 1 = 0.75
So this value less than n will be;
n- 0.75
What is the probability of rolling a number greater than 6 on a number cube
Answer:
0
Step-by-step explanation:
It is not possible to roll a number greater than 6 on a number cube
A probability of 0 means "impossible". This is because a standard number cube (aka a die) has sides labeled 1 through 6. There is no way to roll something larger than 6 on a single die.