Answer: C= 1,090 and the W= 5.
1.a) express 64 in the form of 2^p
b)hence find the value of p when:
2^p= 1/64
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{1}{a^{m} }[/tex] ⇔ [tex]a^{-m}[/tex]
64 = [tex]2^{6}[/tex] , then
[tex]2^{p}[/tex] = [tex]\frac{1}{64}[/tex] = [tex]\frac{1}{2^{6} }[/tex] = [tex]2^{-6}[/tex]
Since the bases on both sides are equal, both 2, then equate exponents
p = - 6
Factories (x+2y)^3+(x-2y)^3
With full explanation
Answer:
[tex]\boxed{=2x(x^2+6y^2)}[/tex]
Step-by-step explanation:
Remember:
[tex](a+b)(a-b)=a^2-b^2\\\\a^3+b^3=(a+b)(a^2-ab+b^2)\\\\\\(x+2y)^3+(x-2y)^3\\\\=(x+2y+x-2y)((x+2y)^2-(x+2y)(x-2y)+(x-2y)^2)\\\\=2x(x^2+4xy+4y^2-(x^2-4y^2)+x^2-4xy+4y^2)\\\\=2x(x^2+6y^2)\\[/tex]
What is the minimum of 52, 59, 61, 65, 65, 71, 72, 73, 74, 76, 83, 88, 92, 94, 97, 98, 101, 102, 103, 110
Answer:
52
Step-by-step explanation:
The minimum of the data set is the smallest number. Therefore, the minimum is 52.
What is the range for the following
numbers?
5, 1, 12, 3, 4, 2, 10
Answer:
11
Step-by-step explanation:
Find the range by calculating the difference between the smallest and largest numbers in a set.
The smallest number is 1, and the largest number is 12.
Find the difference:
12 - 1
= 11
So, the range is 11.
Answer:
11
Step-by-step explanation:
1,2,,3,4,5,10,12
Range is lowest value subtracted from highest value so: 12 -1 = 11
answered by g a u t h m a t h
What is the surface area of a cylinder with base radius 4 and height 7?
Answer:
To find the surface area of a cylinder you need a specific formula.
The formula to finding the surface area is
[tex]A=2\pi rh+2\pi r^2[/tex]
2 x pi x 7 + 2 x pi x 4 squared
144.513262065 would be the specific answer.
Mrs. Santos is buying binders for the students in her class. She determined that 15 binders would cost $22.50.
Cost of Binders
On a coordinate plane, a graph titled Cost of Binders has number of binders on the x-axis and total cost in dollars on the y-axis. The line goes through points (0, 0) and (15, 22.5).
If all of the binders cost the same amount, which statement is true?
It will cost $12 for 18 binders.
It will cost $20 for 30 binders.
It will cost $42 for 28 binders.
It will cost $48 for 48 binders.
Answer:
It will cost $42 for 28 binders
Step-by-step explanation:
We know that 15 binders = 22.50 dollars . We need to find the cost of 18, 30, 28, and 48 binders to figure out if they match up with the statements. One way to do this is to find the cost for one binder, and then multiply that by the number of binders to find the cost for a certain number of binders. For example, if one binder costs 2 dollars, five binders would cost 2 * 5 = 10 dollars.
To figure out how much one binder costs, we can use the division property of equality to divide both sides of our equation (15 binders = 22.50 dollars) by 15. We divide by 15 because anything divided by itself is equal to 1, and that would make it 1 binder = something dollars.
Applying this, we get
(15 binders)/15 = (22.5 dollars)/15
1 binder = 1.5 dollars
For 18 binders, this would cost 1.5 * 18 = 27 dollars. We know this because we add 1.5 dollars for each binder.
For 30 binders, this would cost 30*15=45 dollars
For 28 binders, this would cost 1.5 * 28 = 42 dollars
For 48 binders, this would cost 1.5*48 = 72 dollars
The only one that matches up is 28 binders for 42 dollars
Answer:
$42 for 28 binders.
Step-by-step explanation:
B
the ratio of boys and girls in a 4:3.If there are 20 boys, find the number of girls.
Answer:
There are 15 girls.
Step-by-step explanation:
The ratio is 4:3, meaning there are 7 parts.
4 parts= 20 (Boys)
This means 1 part is 20 divided by 4.
1 part= 5
3 parts= Amount of girls.
3 x 5 = 15.
There are 15 girls.
Answer:
15
Step-by-step explanation:
Add:
boys : girls
4 : 3 = 7
20: ? = ?
Divide:
20 / 4 = 5
5 × 3 = 15
20: 15
So, there are 15 girls.
15 × u= 135
---------------
Answer:
15u = 135
Divide both sides by 15
u = 135/15 = 9
U is equal to 9
Hope this helps!
[tex]15 \times 4 = 135 \\ divide \: both \: sides \: of \: equcation \\ by \: 15 \\ \frac{15u}{15} = \frac{135}{15} \\ u = \frac{135}{15} \\ u = 9[/tex]
what percentage is equal to 2/5?
a. 50%
b. 25%
c. 10%
d. 40%
Answer:
40%
Step-by-step explanation:
Percent is out of 100
2/5 * 20/20
40/100
40%
Answer:
Step-by-step explanation:
Divide 2 by 5 to get the decimal .4. Multiply that by 100 to get the percent:
40%, choice d.
indentify the explicit function for the sequence in the table
Answer:
Option B
a(n) = 8 + (n-1) • 6
Answered by GAUTHMATH
The closed form sum of
$$12 \left[ 1^2 \cdot 2 + 2^2 \cdot 3 + \ldots + n^2 (n+1) \right]$$
for $n \geq 1$ is $n(n+1)(n+2)(an+b).$ Find $an + b.$
Perhaps you know that
[tex]S_2 = \displaystyle\sum_{k=1}^n k^2 = \frac{n(n+1)(2n+1)}6[/tex]
and
[tex]S_3 = \displaystyle\sum_{k=1}^n k^3 = \frac{n^2(n+1)^2}4[/tex]
Then the problem is trivial, since
[tex]\displaystyle\sum_{k=1}^n k^2(k+1) = S_2 + S_3 \\\\ = \frac{2n(n+1)(2n+1)+3n^2(n+1)^2}{12} \\\\ = \frac{n(n+1)\big((2(2n+1)+3n(n+1)\big)}{12} \\\\ = \frac{n(n+1)\big(4n+2+3n^2+3n\big)}{12} \\\\ = \frac{n(n+1)(3n^2+7n+2)}{12} \\\\ = \frac{n(n+1)(3n+1)(n+2)}{12}[/tex]
Then
[tex]12\bigg(1^2\cdot2+2^2\cdot3+3^2\cdot4+\cdots+n^2(n+1)\bigg) = n(n+1)(n+2)(3n+1)[/tex]
so that a = 3 and b = 1.
Pleaseeeeee
Within 9 hours, the number of stars seen went from 190 to 33 as the sun started to rise. Find out how many stars are getting hidden by the sunlight each hour.
Answer:
Approximately 17
Step-by-step explanation:
Number of starts getting hidden in 9 hours = 190 - 33
= 157
Therefore the nun of starts getting hidden in 9 hours is 157
9 hours = 157 stars
1 hours = x
Cross multiply
9 × x = 157 × 1
9x = 157
Divide both sides by 9
x = 157 ÷ 9
x = 17.4
Therefore 17.4 stars are getting hidden every hour.
Answer:
17 4/9 stars per hour
Step-by-step explanation:
First find the decrease in the number of stars
190-33 = 157
Divide by the hours that passed
157/9
17 4/9 stars per hour
if 5^t = 0.04 ,then find the value of t
Answer:
t=-2
Step-by-step explanation:
Solve Exponent.
5t=0.04
log(5t)=log(0.04)(Take log of both sides)
t*(log(5))=log(0.04)
t=log(0.04)÷log (5)
t=−2
Find a 2-digit number smaller than 50, the sum of whose digits does not change after being multiplied by a number greater than 1
The only 2-digit number that is lesser than 50 and the sum of its digits remain unaffected despite being multiplied by a number < 1 would be '18.'
To prove, we will look at some situations:
If we add up the two digits of 18. We get,
[tex]1 + 8 = 9[/tex]
And we multiply 18 by 2 which is greater than 1. We get,
[tex]18[/tex] × [tex]2 = 36[/tex]
The sum remains the same i.e. [tex]3 + 6 = 9[/tex]
Similarly,
If 18 is multiplied to 3(greater than 1), the sum of the two digits comprising the number still remains the same;
[tex]18[/tex] × [tex]3 = 54[/tex]
where (5 + 4 = 9)
Once more,
Even if 18 is multiplied to 4 or 5(greater than 1), the sum of its digits will still be 9.
[tex]18[/tex] × [tex]4 = 72[/tex]
[tex](7 + 2 = 9)[/tex]
[tex]18[/tex] × [tex]5 = 90[/tex]
[tex](9 + 0 = 9)[/tex]
Thus, 18 is the answer.
Learn more about 'numbers' here: brainly.com/question/1624562
Please help out explanation need it
Answer:
156m^2
Step-by-step explanation:
I dont know what you mean by "each figure," but if you need the surface area for the rectangular prism, then the answer is 156, because the top square has a surface area of 3*6, then it equals 18, and the bottom square is the same, so it is also 18, 18*2=36
The 4 rectangle on the side are all the same, and they are all 10x3 which is 30, so 30*4 because there are 4 rectangles, equals 120.
120+36=156. The surface area of the rectangle is 156m^2
Describe how (2 cubed) (2 superscript negative 4) can be simplified.
Answer:
1/2
Step-by-step explanation:
Given:
(2 cubed) (2 superscript negative 4)
= (2³)(2^-4)
= (2³) (1 / 2⁴)
= (2³ * 1) / 2⁴
= 2³ / 2⁴
Both numerator and denominator has the same base. Thus, pick one of the bases
Also, in indices, division sign can be translated to subtraction
Therefore,
2³ / 2⁴
= 2^3-4
= 2^-1
= 1/2¹
= 1/2
(2³)(2^-4) = 1/2
Answer:
D
Step-by-step explanation:
bc i said so
find the area of the right triangle
Answer:
the area of right angle is 1.5×2.5=3.75
Answer:
1.5 units^2
Step-by-step explanation:
If we say that the missing side is x, we can use the pythatgorean theorem to find it.
1.5^2 + x^2 = 2.5^2 => 2.25 + x^2 = 6.25 => x^2 = 4 => x=2
The area of a triangle is hieght * base * 1/2 => 1.5 * 2 * 1/2 = 1.5
josh earns $415 a week plus 3% commision on any sales he makes. in a particular week, he gets paid $600. how much did he make in sales?
Answer:
$185 in commisions
Step-by-step explanation:
600 - 415 = $185
Answer:
6,166.666$ in total sales
Step-by-step explanation:
I. 600$, If 415$ is his earnings then 185 is commision [600 - 415 = 185]
II. Find 3% so 3/100 = 185/x
3x = 18,500
x = 6,166.666
Hope it help :)
Which of the following is a rational number?
square root 97square root 98, square root 99, square root 100
square root 97
square root 98
square root 99
square root 100
Part A: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points)
Part B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth. (3 points)
Answer:
Square root of 100.
Step-by-step explanation:
Step-by-step explanation:
We can write 10 as a fraction 10/1, therefore,[tex]\sqrt{}[/tex]100 is a rational number.
Part A : A rational no. between 5.2 and 5.5 is 5.3.
It is rational because it can be expressed in the form
p/q where p and q are integers and q is not equal to 0, which is 53/10
Part B: A rational no. between 5.2 and 5.5 is 5.29150262213
An irrational number between 5.2 and 5.5 is 5.29150262213. It is irrational because there is no pattern that repeats and it cant be written as a fraction of two whole numbers.
Answer:
Step-by-step explanation:
Square root of all prime numbers is irrational.
97 is an prime number. So √97 is an irrational number.
√98 = [tex]\sqrt{2*7*7}=7\sqrt{2}[/tex] is an irrational number.
[tex]\sqrt{99}=\sqrt{3*3*11} =3\sqrt{11}[/tex] is an irrational number
√100 = 10 is a rational number.
Part A:
5.3 is a rational number.
Rational can be written in p/q form and when divided the result will either terminating decimal or non terminating repeating decimal
Part B:
5.3020050......
Irrational numbers are non terminating non repeating numbers
Rewrite the expression in the form y^n. (y^-1/2)^4
Answer:
y^ -2
Step-by-step explanation:
We know that a^b^c = a^(b*c)
(y^-1/2)^4
y^(-1/2*4)
y^ -2
Answer:
Step-by-step explanation:
PLEASE ANSWERRRR ULL BE SO COOL ILL MARK BRAINLEST!!!
In the PQRS triangle PQ=QR, QR side extended to S Show that PQ+RS=QS. -S Q R
pls explain too
Answer:
Step-by-step explanation:
from the picture:
QP = QR
and
QR = RS
so
PQ + RS = QS
Does the table represent a function? Why or why not?
Answer:
D
Step-by-step explanation:
for a table to represent a function each x value can only have one y value here we see 5 have two different values, 3 and 2, so it is not a function
The sum of two numbers is 71648.one of the number is 7 times the other.find the numbers
Answer
8956
explanation step by step
Answer: numbers are 8956 and 62692
Step-by-step explanation:
Let the numbers be x and 7x
ATQ
x + 7x = 71648
8x = 71648
x = 71648/8
x = 8956
Therefore the numbers are 8956 and 62692 respectively
please click thanks and mark brainliest if you like :)
Triangle LMN is dilated by a scale factor of 2/3 to form triangle L’M’N. Side NL measures 48. What is the measure of side N’L’?
Valeria purchases a can of chicken noodle soup and a can of tomato soup. The can of chicken noodle soup has a height of 4 inches and a radius of 2 inches. What is the volume of the can of chicken noodle soup?
Use ≈3.14 and round your answer to the nearest whole number.
The can of tomato soup has the same volume, but a radius of 2.5 inches. What is the height of the can of tomato soup?
Use ≈3.14 and round your answer to the nearest tenth.
Questions
Answer:
The height of the tomato soup can is 2.6 in.
Step-by-step explanation:
"The can of chicken noodle soup has a height of 4 inches and a radius of 2 inches."
We can find the volume of this can.
V = pi r² h
V = 3.14 * (2 in.)² * (4 in.)
V = 50.24 in.³
"The can of tomato soup has the same volume, but a radius of 2.5 inches."
Now we know the volume of the can, so we can find the height, h.
V = pi r² h
50.24 in.³ = 3.14 * (2.5 in.)² * h
50.24 in.³ = 19.625 in.² * h
h = (50.24 in.³)/(19.625 in.²)
h = 2.56 in.
Answer: The height of the tomato soup can is 2.6 in.
Answer:
:Volume of can of chicken noodle soup=50.24inch^3
:Height of can of tomato soup=2.56inches
Step-by-step explanation:
CHICKEN NOODLE SOUP :height=4inches
:radius=2inches
[ V=πr2h]
V=(3.14×2×2×4)=50.14
Now, Volume is same of both the can.
Volume of can of tomato soup=50.24;radius=2.5inches;
Height of can of tomato soup,
50.24=(3.14×2.5×2.5×h)
50.24=19.625h
h=50.24/19.625
=2.56inches
Solve for ggg.
-3+5+6g=11-3g−3+5+6g=11−3g
Answer:
-3 + 5 + 6 g = 11 - 3 g - 3 + 5 + 6 g = 11 - 3 g
6 g + 2 = 3 g + 13 = 11 - 3 g
{g = 11/3, g = 1, g = -1/3}
{3 g = 11, g = 1, 3 g + 1 = 0}
{3 g + 13 = 2 (3 g + 1), 11 - 3 g = 2 (3 g + 1), 11 - 3 g = 3 g + 13}
In the figure below, triangle ABC is similar to triangle PQR:
A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 4, length of BC is 2. A similar right triangle; triangle PQR, which is triangle ABC enlarged and reflected across a horizontal line, is drawn near it. The right angle is at Q. Angle A is congruent to angle P and angle C is congruent to angle R. The length of QR is 12.
What is the length of side PQ?
48
24
40
18
Answer:
The length of PQ is 24
Step-by-step explanation:
If you flip triangle PQR upside down the you can see which side corresponds to which. BC corresponds to QR and AB with PQ, the scalar is 6 because of BC (2) times 6 = QR (12). So you just have to do 4 times 6 which is 24.
Help plz!! Trig question
Answer:
5 meters tall.
Step-by-step explanation:
We know that angle A (the bird) is 55. The opposite side from this angle is 4.5 meters, since that is the distance she is from the tree. From this, we can set up an equation tan(55)=4.5/x and simplify it to x= 4.5/tan(55). This would be height x, but it is not accounting for the 1.5 meters the apple is off the ground, so you need to add 1.5 to the result. The final answer would be 4.65 but you need to round to the nearest meter so it would be 5.
Find the missing part.
Step-by-step explanation:
8²+10²= x²
64+100 =x²
164=x²
√164=√x²
square and squre root do cancel each other
x=√164
hope this helps
Answer:
x = [tex]\sqrt{164[/tex]
Step-by-step explanation:
In order to find the hypotenuse of a right triangle, you have to add,
[tex]8^{2} + 10^{2}[/tex]
which simplifies to,
64 + 100 =
[tex]\sqrt164[/tex]
Hope this helps! :)
