Answers
Answer: d) 6 e) 10 g) 900
Step-by-step explanation:
d) [tex]\sqrt{9610} = 98.0306[/tex]
98² = 9604
9610 - 9604 = 6
e) [tex]\sqrt{2906}=53.9073[/tex]
54² = 2916
2916 - 2906 = 10
g) 10 12 15
∧ ∧ ∧
2·5 2·2·3 3·5
The Perfect square is: 2² · 5² · 3² = 30²
30² = 900
Related Questions
A basketball team has 12 members who can play any position. How many different ways can the coach choose 5 starting players
Answers
Georgette created a factor tree and wrote the prime factorization of 72 shown here. A factor tree of 72. 72 branches to 8 and 9. 8 branches to 2 and 4. 4 branches to 2 and 2. 72 = 23 × 9 What is Georgette’s error? A. Georgette should have started the factor tree with 2 × 36. B. Georgette did not complete the factorization; 9 is a composite number. C. Georgette should have expressed 4 as 4 x 1, not 2 x 2. D. Georgette should have expressed 8 as 4 × 4, not 2 × 4.
Answers
Answer:
Georgette did not complete the factorization; 9 is a composite number.
Step-by-step explanation:
9 can be broken down to 3x3
So it the prime factorization of 72 should be 2x2x2x3x3
Georgette’s error is Georgette should have expressed 8 as 4 × 4, not 2 × 4.
The correct option is D.
The correct prime factorization of 72 is 2³ × 3², which means it can be expressed as the product of prime numbers raised to their respective exponents.
Analyzing the factor tree provided by Georgette, we can see that she made an error when branching from 72 to 8 and 9.
The prime factorization of 8 should be 2³, not 2 × 4, and the prime factorization of 9 should be 3², not 2 × 2.
Therefore, Georgette's error is that she have expressed 8 as 2³ × 1 or 4 × 2, not as 2 × 4.
The correct factor tree for 72 would be:
72
/ \
2 36
/ \
2 18
/ \
2 9
/ \
3 3
So, the prime factorization of 72 is 2³ × 3².
Learn more about Prime Factorization here:
https://brainly.com/question/29763746
#SPJ6
Expand the expression (x-5)^3
Answers
Answer:
[tex]x^3[/tex]-15[tex]x^{2}[/tex]+25x-125
Step-by-step explanation:
This is a quadratic equation, so we need to open the equation first. There are three (x-5), and then we multiply them together, and then combine like terms to get the answer.
(x-5)(x-5)(x-5)=
[x(x-5)-5(x-5)](x-5)=
([tex]x^{2}[/tex]-5x-5x+25)(x-5)=
([tex]x^{2}[/tex]-10x+25)(x-5)=
x([tex]x^{2}[/tex]-10x+25)-5([tex]x^{2}[/tex]-10x+25)
[tex]x^3[/tex]-[tex]10x^2[/tex]+25x-[tex]5x^2[/tex]-125=
[tex]x^3[/tex]-15[tex]x^{2}[/tex]+25x-125
This is URGENT! Please help me solve this question with full solutions
Answers
Answer:
B
Step-by-step explanation:
Given
[tex]\frac{1}{(t-2)^2}[/tex] = 6 + [tex]\frac{1}{(t-2)}[/tex] ( multiply through by (t - 2)²
1 = 6(t - 2)² + t - 2 ← distribute parenthesis and simplify
1 = 6(t² - 4t + 4) + t - 2
1 = 6t² - 24t + 24 + t - 2
1 = 6t² - 23t + 22 ( subtract 1 from both sides )
6t² - 23t + 21 = 0 ← in standard form
(2t - 3)(3t - 7) = 0 → in factored form
Equate each factor to zero and solve for t
2t - 3 = 0 ⇒ 2t = 3 ⇒ t = [tex]\frac{3}{2}[/tex] ← p
3t - 7 = 0 ⇒ 3t = 7 ⇒ t = [tex]\frac{7}{3}[/tex] ← q
Thus
p × q = [tex]\frac{3}{2}[/tex] × [tex]\frac{7}{3}[/tex] = [tex]\frac{21}{6}[/tex] = [tex]\frac{7}{2}[/tex] → B
Write the set of real numbers between 110 and 220 in interval notation.
Answers
Answer:
[tex]110\geq x \leq 220[/tex]
Step-by-step explanation:
Given
Minimum: 110
Maximum = 220
Required
Write as interval notation
Let the real numbers be represented with x
We start by setting x greater than or equal to the minimum:
[tex]x \geq 110[/tex]
Then, we set x less than or equal to the maximum:
[tex]x \leq 220[/tex]
Write out both inequalities
[tex]x \geq 110[/tex] and [tex]x \leq 220[/tex]
This can be rewritten as:
[tex]110 \geq x[/tex] and [tex]x \leq 220[/tex]
Both inequalities can be merged to give:
[tex]110\geq x \leq 220[/tex]
Answer:
(110,220)
I not sure about this answer but if I correct than your welcome and if I wrong then sorry.
What is the opposite value of -53 ?
Answers
Answer:
53
Step-by-step explanation:
Answer: Opposite of -53 = -(53) = 53
Step-by-step explanation: An opposite number of n is the exact same number as n on the other side of the number line. the opposite of n is n.
2 minus twice a number
Answers
Answer:
2 - 2n
Step-by-step explanation
We can use n for the number.
2 - 2(n)
2- 2n
Answer:
2(n-1)
Step-by-step explanation:
Let n be the number
=>2-2n
=>2(n-1)
-3(-9v-4)-2(v-2)????
Answers
Solution: Distribute the -3 to the whole equation in the parenthesis. This will make the equation 27v+12-2(v-2). Do the same thing with the -2 and the other parenthesis. This will make the equation 27v+12-2v+4. Combine like terms. This will make the equation 25v+16.
Hope this helped
NEED HELP FAST!!! Determine the momentum: An electron (m= 9.1 x 10-31 kg) moving at 2.18 x 106 m/s (as if it were in a Bohr orbit in the H atom)
Answers
Answer:
p= (9.1 x 10^-31)(2.18 x 10^6) p = 1.9 x 10^-22kg*m/s
Step-by-step explanation:
for i said so
The momentum of electron is [tex]1.9\times 10^{26}[/tex] kg m per second.
Given, mass of electron is [tex]9.1\times 10^{-31}[/tex] kg.
And its velocity is [tex]2.18 \times 10^6[/tex] m per s.
We have to calculate its momentum.
We know that momentum is numerically equal to the product of mass and velocity of a particle and denoted by p.
So, [tex]p=mv[/tex]
[tex]p= 9.1\times10^{-31}\times2.18\times10^{6}[/tex]
[tex]p=19.838\times10^{25}[/tex]
[tex]p=1.9\times10^{26}[/tex]
Hence the momentum of electron is [tex]1.9\times 10^{26}[/tex] kg m per second.
For more details follow the link:
https://brainly.com/question/4956182
What is the circumference of this circle?
Answers
Answer:
B) 12.56
Step-by-step explanation:
The formula for circumference of a circle is 2πr.
Substitute r for 2 and it becomes 4π.
4π ≈ 12.56
Answer: is 12.56
Step-by-step explanation:
True or false are confirmed angles have equal measures
Answers
Answer:
TRUE
Step-by-step explanation:
if the adjacent angles are equal, then they are right angles.
At a carnival game, you randomly throw two darts at the board and break two balloons. What is the probability that both the balloons you break are purple? Write your answer as a fraction or percent rounded to the nearest tenth. there are 15
Answers
Details are missing;
A board of 15 balloons. 4 are purple, 3 red, 4 blue, 2 yellow and 2 green
Answer:
the probability that both the balloons you break are purple = 2/35
Step-by-step explanation:
Since there are 15 balloons and 4 are purple. It means that probability of the first balloon being purple is;
4/15
Now, if the first balloon is purple, it means we have 3 purple left out of the remaining 14. Thus probability of the second being purple = 3/14
Thus;
the probability that both the balloons you break are purple = 4/15 × 3/14 = 2/35
??????????????????????????????????????????????????
Answers
1
GIVE ME BRAINLIEST MY GUY PLZ
1 problem
Because there are 13 problem and if she completed 12 of them yesterday .Only 1 will be left for today.
Wyatt is training for a race. He will run 3
4
of a mile a day for 8 days. How far will Wyatt run altogether?
Answers
Answer: 6 OR 6/1
3 8 24 6
- x - = _ = - OR 6
4 1 4 1
Step-by-step explanation: Hope this helps! ~Pooch ♥
What is equivalent to 5.08 cm
Answers
Answer:
2 in
Step-by-step explanation:
Describe the translation of Point A (3, -8) to A'(-4,-5).
Answers
Answer:
left 7 and up 13
Step-by-step explanation:
The translation path of Point A (3, -8) to A'(-4,-5) exists 3 units down and 7 units to the left.
What is meant by translation?A translation in mathematics does not turn, but rather moves a shape left, right, up, or down. Congruent translations are those in which the translated shapes (or the image) seem to be the same size as the source ones. Just one or more directions have they shifted.
Each point in a figure is moved by the same amount and in the same direction during a translation, a type of transformation.
With a sort of transformation called translation, every point in a figure is moved the same distance in the same direction.
The translation path of Point A (3, -8) to A'(-4,-5) exists 3 units down and 7 units to the left.
To learn more about translation, refer to:
brainly.com/question/12861087
#SPJ2
A thermometer comes with a guarantee that the stated temperature differs from the actual temperature by no more than 1.5 degrees Fahrenheit. Write an equation to represent the minimum and maximum actual temperatures when the thermometer states that the temperature is 87.4 degrees Fahrenheit.
Answers
Answer:
The equation is;
T = 87.4 ± 1.5
Maximum value of T = 88.9 °F
Minimum value of T = 85.9 °F
Step-by-step explanation:
We are given the stated temperature as 87.4 °F
Now, we are told that this stated temperature differs from the actual temperature by no more than 1.5 degrees Fahrenheit.
Thus, if the actual temperature is T, it means that T should either be 1.5 more than 87.4 or 1.5 less than 87.4.
Thus the equation is;
87.4 ± 1.5 = T
So maximum value of T = 87.4 + 1.5 = 88.9 °F
While minimum value of T = 87.4 - 1.5 = 85.9 °F
This equation shows how the total cost of visiting the art museum as a member is related to the number of visits. c = v + 11 The variable v represents the number of visits to the art museum, and the variable c represents the total cost of those visits. What is the maximum number of visits a member of the art museum can make for a total cost of $14?
Answers
Answer:
6
Step-by-step explanation:
C=9.2v + 21.2
76.4 = 9.2v + 21.2
76.4 - 21.2 = 9.2v
55.2 = 9.2v
v= 55.2 / 9.2 = 6
1/2a+6b/7 Verbal Expression?
Answers
Answer:
one half of a plus six times b divided by seven
Step-by-step explanation:
the difference of sixty and a number
Answers
Answer:
60-x
Step-by-step explanation:
a number = x
18 = 3(3x − 6) multi step equations show all steps pls
Answers
Answer:
x=4
Step-by-step explanation:
18 = 3(3x − 6)
Divide each side by 3
18/3 = 3( 3x-6)/3
6 = 3x-6
Add 6 to each side
6+6 = 3x-6+6
12 = 3x
Divide by 3
12/3 = 3x/3
4 =x
Answer: 4 = x
Step-by-step explanation: To solve this equation, we start by
distributing the 3 through the parenthses on the right side.
3(3x) is 9x and 3(-6) is -18.
So our equation now reads 18 = 9x - 18.
Our next step is to get the x term by itself on the right side.
So we add 18 to both sides to get 36 = 9x.
Now divide both sides by 9 to get 4 = x.
5. If median =137 and mean = 137.05, then find the value of mode. (2marks)
Answers
Answer:- 136.9
Step-by-step explanation:
3median=2mean+mode
3(137)=2(137.05)+mode
411=274.1+mode
411-274.1=mode
mode=136.9
Point N is on line segment MO. Given MO = 3x - 10, NO = x, and M N = 8,
determine the numerical length of MO.
Answers
Answer:
MO = 17
Step-by-step explanation:
First, you need to define what if the unknown x.
segment MN and NO are equal to MO.
thus, your equation for the combination is x +8
Now set the values equal to each other
x + 8 = 3x - 10 (subtract x from both sides)
8 = 2x - 10 ( get your x value alone, add 10 to both sides)
18 = 2x (simplfy)
x = 9
Now plug x value into MO
3 (9) - 10 = 17
Check with opposing equation:
9 + 8 = 17 √
(Giving Branliest)
The length of a desk is 3.5 feet. How many centimeters is the length? (There are 2.54 cm in an inch)
A. 60
B. 117.12
C. 120.23
D. 106.68
Answers
Answer:
106.68 cm
Step-by-step explanation:
Change ft to inches
3.5 ft * 12 inches / 1 ft = 42 inches
Change inches to cm
42 inches * 2.54 cm/ inch =106.68 cm
Answer:
106.68cm
Step-by-step explanation:
divide by feet untill you get inches
What is the arc length S what is shown below?
The angle in the image is a central angle în radians.
Answers
Answer:
14 cm
Step-by-step explanation:
The applicable formula is ...
s = rθ
s = (7 cm)(2) = 14 cm
Danny and 4 friend go to the movies. Each person buys a movie ticket for $10, a snack for $2 and a drink for $3. Write an expression which shows how much Danny and his friends spent.
Answers
8000647 dollars
Step-by-step explanation:
broggxtxycycuvuh8y7rtwh4w5iwutettixgdbf
(6.2)(5.7) helppp, I need an answer ASAP!
I just don't feel like doing it
Answers
Answer: 35.34
Step-by-step explanation:
(6.2)x(5.7)= 35.34
Hope this helps!
A bike shop rents bikes for $4.50 per hour, plus a $7.50 insurance charge. For how many hours can Peter rent a bike if he has $30?
Answers
Answer:
With $30, Peter can afford 5 hours
Step-by-step explanation:
Given
Insurance Charge = $7.5
Charges = $4.5 per hour
Required
Determine the number of hours $30 can afford
First, we need to determine the equation.
Total Charges = Charges per hour + Insurance Charge
Substitute values for Charges per hour and Insurance Charge
Total Charges = 4.5 per hour + 7.5
Let the number of hours be n;
So,
Total Charges = 4.5n + 7.5
To calculate Peter's; substitute 30 for total charges
[tex]30 = 4.5n + 7.5[/tex]
Subtract 7.5 from both sides
[tex]4.5n = 30 - 7.5[/tex]
[tex]4.5n = 22.5[/tex]
Divide both sides by 4.5
[tex]n = \frac{22.5}{4.5}[/tex]
[tex]n = 5[/tex]
Hence;
With $30, Peter can afford 5 hours
Melissa worked to earn $20.00. Alan worked for $12.00 hours. If she earns $2.00 per hour, how many hours did Melissa work?
Answers
Answer: 10 hours
Step-by-step explanation: so if you do 10 times 2.00 it equals 20 dollars or you can divide 20 and 2
Point C is on line segment \overline{BD} BD . Given BC=x+4,BC=x+4, CD=5x,CD=5x, and BD=5x+7,BD=5x+7, determine the numerical length of \overline{CD}. CD .
Answers
Answer:
[tex]CD = 15[/tex]
Step-by-step explanation:
Given
[tex]BC = x + 4[/tex]
[tex]CD = 5x[/tex]
[tex]BD = 5x + 7[/tex]
Required
Determine CD
Since Point C is on segment BD, then we have
[tex]BD = BC + CD[/tex]
Substitute x + 4 for BC; 5x for CD and 5x + 7 for BD
[tex]5x + 7 = x + 4 + 5x[/tex]
Collect Like Terms
[tex]5x - 5x - x = 4 - 7[/tex]
[tex]- x = -3[/tex]
Multiply both sides by -1
[tex]x = 3[/tex]
Substitute 3 for x in [tex]CD = 5x[/tex]
[tex]CD = 5(3)[/tex]
[tex]CD = 15[/tex]
Hence, the length of CD is 15 units
Answer:
Step-by-step explanation:
Given
Required
Determine CD
Since Point C is on segment BD, then we have
Substitute x + 4 for BC; 5x for CD and 5x + 7 for BD
Collect Like Terms
Multiply both sides by -1
Substitute 3 for x in
Hence, the length of CD is 15 units
Step-by-step explanation: