[tex](4^2)^4 = 4^{ (2 \times 4)} = 4^8 = 65536[/tex]
[tex]\Large\text{65,536}[/tex]
Calculations ↓In order to simplify this expression , we have to multiply the powers (notice that we have a power to a power)
Simplify as follows :
(4²)⁴ = 4⁽²ˣ⁴)=4⁸
4 times itself 8 times simplifies to :
65,536[tex]\footnotesize\text{hope\:helpful~}[/tex]
Question
Find the value of y for the given value of x.y=x/3+5;x=6
[tex]xy = \frac{x}{3} + 5\\x = 6\\(6)y = \frac{(6)}{3} + 5\\6y = 2 + 5 = 7\\y = \frac{7}{6}[/tex]
please help I don’t understand this
Answer:
136
Step-by-step explanation:
First you multiply 7•5 which is 35, and sense there is 2 squares with that unit, you multiply 35•2 which is 70. After that you get the middle value by multiplying 6•7, which is 42. Then you add 42+70, and that's 112. Now you have to find the area of the triangle, so you multiply 6•4, and that's 24, but sense there are 2 of them with the same unit you don't need to divide by 2. Then after that you add 112+24 and the total area is 136
Answer:
136 square units
Step-by-step explanation:
A "net" is a map of the surfaces of the prism. If you cut it out and fold along the solid lines, you can shape it into the triangular prism it represents. The area of the net is the area of the prism.
As with any composite figure, its area can be found by decomposing it into parts whose area formulas you know. Here, the net can be cut along the horizontal lines to form a rectangle and two triangles.
__
rectangleThe rectangle has an overall length of 5+6+5 = 16 units, and a width of 7 units. Its area is ...
A = LW
A = (16)(7) = 112 . . . . square units
trianglesEach triangle has a base of 6 units and a height of 4 units. Its area is ...
A = 1/2bh
A = 1/2(6)(4) = 12 . . . . square units
total areaThe composite figure shown has been decomposed into one rectangle and two triangles, so its total area is ...
rectangle area + 2 × triangle area
= 112 + 2×12 = 136 . . . . square units
The surface area of the triangular prism is 136 square units.
find the value of W
Answer:
answer is equal to 73 degrees
How many years will it take an account to double in value, assuming a 5.2% interest rate compounded quarterly? Round your answer to the nearest tenth.
The money account is doubled at an interest rate of 5.2 % compunded quarterly, that is, under the model of compound interest in a time period of about 3.5 years.
How to determine the doubling time of money account
The compound interest takes into account the change of money deposited in time in contrast with the simple interest, which only takes the initial amount of money into account. Please notice that four quarters equals a year.
The compound interest formula is described below:
C = C' · (1 + r/100)ⁿ (1)
Where:
r - Interest raten - Number of periodsC' - Initial money amountC - Current money amountIf we know that C = 2 · C' and r = 5.2, then the doubling time is:
n = /㏒ C/C'/㏒ (1 + r/100)
n = ㏒ 2/㏒ 1.052
n ≈ 13.674
The money account is doubled at an interest rate of 5.2 % compunded quarterly, that is, under the model of compound interest in a time period of about 3.5 years. [tex]\blacksquare[/tex]
To learn more on compound interests, we kindly invite to check this verified question: https://brainly.com/question/14295570
A scale drawing of a rectangular object has a scale of 1 in. : 6 ft. The scale drawing has a length of 7 inches. What is the actual length?
Answer:
42 feet
Step-by-step explanation:
1 inch = 6 feet
then multiply both sides by 7
7 inches = 42 feet
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
sinA = 9/41ratio = 9:41Step-by-step explanation:
sin theta = opposite/ hypotenuseac = adjacent
ab = hypotenuse
cb = opposite
= cb/ab
= 9/41
ratio = 9:41HAVE A NICE DAY
STAY SAFE
if this is the answer then pls give BRAINLIST
Answer:
Step-by-step explanation:
Solve |2x+5| =15
I need to pass this class, if anyone is interested in helping me with 2 math classes please message me. I need to have them done by may 6th in order to graduate high school. Thank y’all so much!
Answer:
The answer is x=3 and the extraneous is x=-1
Step-by-step explanation:
SM 4 - 7 A shoe store marks up
its merchandise by 8%. What is the
selling price of a pair of shoes
whose wholesale price was
$34.50?
Assuming $34.50 is the price after the 8% price increase, we can set up this equation (if 34.50 is the old price, scroll down):
34.50=[tex]\frac{108}{100} x[/tex]
Where x ( or 100/100 x) is the original price.
We can simply the fraction, or just multiply by 100 on both sides.
3450=108x
x=31.9444 (4 repeating).
If the old price is 34.50, then we can set up this equation:
34.50+ [tex](\frac{8}{100} *34.50)[/tex] = x
34.5 + 2.76 = x
x = 37.26
The new selling price would be $37.26.
can someone please answer this question?
Answer:
254.34 mm²
Step-by-step explanation:
Diameter (d) = 18 mm
Radius (r) = d/2 = 18/2 = 9 mm
π = 3.14
Area of the circle
= πr²
= (3.14)(9)²
= 3.14 × 81
= 254.34 mm²
____________
Hope it helps ⚜
diameter= 18mm
to find:the area of the circle
solution:[tex]area = \frac{1}{4} \pi {d}^{2} [/tex]
[tex]a = \frac{1}{4} \times \pi \times {18}^{2} [/tex]
[tex]a = 254.469 \: {mm}^{2} [/tex]
hence, the area of the circle is 254.469 square millimeters.
What is the explicit formula for this sequence?
-6, -2, 2, 6, 10, ...
Answer:
4n-10, Answer is D
Step-by-step explanation:
First we will use n as any number.
the difference between each of the numbers is +4
This creates first part of the formula.
4n...
If you do 4n and replace n as one (For the first number of the sequence) then 4×1=4. You then have to find out how much you need to add or subtract to get -6 so the difference between 4 and -6 is -10.
This creates the second part of our formula.
4n - 10
You can check this by doing the same thing for the second number and replacing n with 2.
2×4=8
8 - 10= -2 which is the second number in the sequence which confirms this is correct.
which point shows the approximate value of √40 on the number line
Answer:
6
Step-by-step explanation:
There is no perfect square root of 40 but when calculated it would be 6.33 which rounds down to 6.
URGENT Find Area of shapes. Need to complete by 11:30 to pass!
PLEASE HELP TY
A number is chosen at random from 1 to 50. Find the probability of selecting numbers with a last digit of 9.
Answer:
10%
Step-by-step explanation: there are 5 numbers from 5 to 50 ending in 9. 5 is 10% of 50. Hope this helped
creat an inequality that shows the height,x, in feet, a person must be to go on this ride
what exactly are the answers?
Answer:
40%, 40%
Step-by-step explanation:
The % of shoppers that have an email account is
100 × Sum of shoppers under "email account" row/ Total number of shoppers= 100 • (45+15)/150
= 40%
Same thing happens with the second question.
100 × Sum of shoppers in "Computer at home" column/ Total number of shoppers= 100•(45+15)/150
= 40%
F(x) = x^2 - 1
1.What's the vertex
2.Find the Domain
3 Find the Range
4. Find The Axis of symmetry
Answer:
Vertex: ( − 2 , 3 ) Axis of Symmetry: x = − 2 Domain: R Range: R ≥ 3
Step-by-step explanation:
Explanation:
The "vertex form" for a parabola is XXX g ( x ) = m ( x − a ) 2 + b XXXXXX with the vertex at ( a , b ) To convert g ( x ) = 3 x 2 + 12 x + 15 into "vertex form" Extract the m XXX g ( x ) = 3 ( x 2 + 4 x ) + 15 Complete the square XXX g ( x ) = 3 ( x 2 + 4 x + 2 2 ) + 15 − 3 ( 2 2 ) XXX g ( x ) = 3 ( x + 2 ) 2 + 3 In complete vertex form: XXX g ( x ) = 3 ( x − ( − 2 ) ) 2 + 3 with the vertex at ( − 2 , 3 ) The equation is of the form for a parabola with a vertical axis of symmetry opening upward and since the axis of symmetry passes through the vertex, the axis of symmetry is x = − 2 g ( x ) = 3 x 2 + 12 x + 15 is defined for all Real values of x , therefore the Domain is x ∈ R . g ( x ) has values for all points at or above the vertex, therefore the Range is g ( x ) ∈ R ≥ 3 graph{3x^2+12x+15 [-7.85, 6.196, -0.84, 6.186]
Find X exactly. Answer should be in a square root.
At a hardware store 5 hammers and 7 packs of nails costs 62.25 and at the same store, 8 hammers and 3 packs of nails costs 82.30 How much is one hammer and one pack of nails ?
What is the length of the indicated side?
Answer:
Step-by-step explanation:
A company collects data on its employees. It finds that
. 20% of employees in each department are part-time,
80% of employees in each department are full-time, and
• each of the company's four departments has 45 employees.
How many part-time and full-time employees does the company have?
Answer:
9 Part-time employees
36 full-time employee
Step-by-step explanation:
20% multiply by 45 = 9
80% multioly by 45 =36
therefore to check if your answers are correct add 9 + 36 which gives you 45, the total number of employees in each company's four department.
Answer:
The company has 144 full-time employees and 36 part-time employees.
Step-by-step explanation:
The company has 144 full-time employees and 36 part-time employees because you have to do .20*45 to get 9 part-time employees per department. Then you can do 45-9 to get 36 full-time employees per department or you can do .8*45, either way is fine. Then you have to multiply 36 by 4 and 9 by 4 to get 144 full-time employees and 36 part-time employees.
The volumes of two similar figures are given. The surface area of the larger figure is given. Find the surface area of the smaller figure.
V=648 m^3
V=1536 m^3
S.A.=864 m^2
Step-by-step explanation:
the volume of a figure bases always on a calculation that multiplies 3 dimensions.
while a surface area bases always on a calculation that multiplies 2 dimensions.
since the figures are similar, that means that all dimensions or side lengths of one figure correlate to the corresponding dimensions or side lengths of the other figure via the same scale factor f.
and that means that
large side length = small side length × f.
and that means that f has to be multiplied in 3 times for the volume and 2 times for the surface area (once for every dimension).
so,
large volume = small volume × f × f × f =
= small volume × f³
1536 = 648 × f³
f³ = 1536/648 = 64/27
f = 4/3
and
large surface = small surface × f×f =
= small surface × f²
small surface = large surface / f² = 864 / 16/9 =
= 864 × 9/16 = 54 × 9 = 486 m²
35
Three boxes are shipped on a truck. Each box has a base of 16 square feet. Two of the
boxes have a height of 3 feet and one box has a height of 5 feet. What is the total
volume, in cubic feet, of the three boxes?
A
240
B
176
С
144
[tex]\neq \lim_{n \to \infty} a_n \pi x_{123} \alpha[/tex]Answer:
Step-by-step explanation:
There are 3 boxes. The formula for volume is lxhxw, (length x height x width)
What is the value of 21
Answer:
Absolute value is the magnitude of a real number regardless of sign. When you take the absolute value of something, it is the positive value of the number being evaluated
|21| = 21
also...
|−21| = 21
Step-by-step explanation:
Hope This Helps
Have A Great Day
~Zero~
Lilly plotted the points ( - 6 , 4) and ( - 2 , 4) on a coordinate plane. Then she plotted their reflections across the x-axis. What are the locations of the reflected points ?
Answer:
(-6,-4)
(-2,-4)
Step-by-step explanation:
Step 1. Plot points
Step 2. Reflection over x-axis (make "y" negative)
Reflection:
(-6,4) --> (-6,-4)
(-2,4) --> (-2,-4)
BRAINLIEST please if this helped!Can you guys please help answer these 2 questions!
Answer:
3216hope it can help you
brainliest pls
What is the value of w?
Answer:
29.3 degrees
Step-by-step explanation:
90 - 60.7 = 29.3 degrees
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answer:
PQ = 15M = (8.5, 8)Step-by-step explanation:
Given points P(4, 2) and Q(13, 14), you want the length of PQ and its midpoint.
(a) LengthThe length of PQ is given by the distance formula ...
d = √((x2 -x1)² +(y2 -y1)²)
d = ((13 -4)² +(14 -2)²) = √(9² +12²) = √225
d = 15
The length of PQ is 15 units.
(b) MidpointThe midpoint is halfway between the end points. It is conveniently found as the average of the coordinates of the end points.
M = (P +Q)/2
M = ((4, 2) +(13, 14))/2 = (4+13, 2+14)/2 = (17, 16)/2
M = (8.5, 8)
The midpoint of PQ is M(8.5, 8).
__
Additional comment
The length of PQ is the hypotenuse of a right triangle with side lengths 9 and 12 units. You recognize this ratio as 3:4, so the triangle is a 3-4-5 right triangle, scaled up by a factor of 3. The length PQ is 3·5 = 15.
{3, 4, 5} is one of several Pythagorean triples commonly seen in textbook problems. Others include {5, 12, 13}, {7, 24, 25}, {8, 15, 17}.
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The temperature T in degrees Celsius varies with position (x,y), in centimeters, on the surface of a flat metal plate. Let T=x^3-3xy^2. Determine the direction and magnitude of the maximum decrease of temperature at the point (1, 0.5).
Answer:
To find the directional derivative in the direction of the vector (1,2), we need to find a unit vector in the direction of the vector (1,2). We simply divide by the magnitude of (1,2). u=(1,2)∥(1,2)∥=(1,2)√12+22=(1,2)√5=(1/√5,2/√5).
Answer:To find the directional derivative in the direction of the vector (1,2), we need to find a unit vector in the direction of the vector (1,2). We simply divide by the magnitude of (1,2). u=(1,2)∥(1,2)∥=(1,2)√12+22=(1,2)√5=(1/√5,2/√5).
Step-by-step explanation:
y varies directly as x. y=96 when x=8. find y when x=10
simplify answers if applicable
A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual
park is 280 yards long. What is the approximate area of the actual park, in square
yards?
56000 is the actual park in square yards.