Answer:
Choices given as [tex]2^{16}, 4^8[/tex] and [tex]16^4[/tex] are correct.
Step-by-step explanation:
Given expression is,
[tex](4^5)(4^3)[/tex]
By applying law of exponents in the given expression,
[tex](4^5)(4^3)=4^{5+3}[/tex]
[tex]=4^8[/tex]
[tex](4^5)(4^3)=(2^2)^5(2^2)^3[/tex]
[tex]=(2^{2\times 5})(2^{2\times 3})[/tex]
[tex]=2^{10}\times 2^6[/tex]
[tex]=2^{16}[/tex]
[tex]=(2^4)^4[/tex]
[tex]=(16)^4[/tex]
Therefore, choices given as [tex]2^{16}, 4^8[/tex] and [tex]16^4[/tex] are correct.
Steve made $50 raking leaves and $75 mowing lawns he gave 60% of his earnings to his mother how much did Steve give to his mother
Answer:
Steve gave his mother $75.
Step-by-step explanation:
Steve earned a total of $125. Sixty percent of that went to his mother. Convert 60% into the equivalent decimal fraction and multiply as indicated:
0.60($125) = $75
Steve gave his mother $75.
Answer:
Steve gave $75 to his mother.
Step-by-step explanation:
Steve earned a total of $125. Sixty percent of that went to his mother. Convert 60% into a decimal and multiply:
0.60($125) = $75
find the volume of the composite figure
Answer:
8064
Step-by-step explanation:
Multiply all the sides
6x4x12x2x14
Answer:
384 cu. cm
Step-by-step explanation:
The figure is comprised of two rectangular prisms. One prism has dimensions of 6, 4 and 2 and the other prism has dimensions of 14, 12 and 2
Vol of a rectangular prism = lwh
Total volume = 6(4)(2) + 14(12)(2)
= 48 + 336
= 384 cu. cm
Ty and his 3 brothers share a pizza equally.Which of these shows how much of the pizza did tys brothers have
Answer:3/4
Step-by-step explanation:
Have a good day!
Naina went on a trip. She covered a distance of 34 Kilometre 46 metre by car, 143 kilometre 92 metre by train, 5 kilometre 92 metre by bus, 2 kilometre 60 metre on bullocks and 1.3 kilometre on foot. How much distance did she cover.
Answer:
185590 m
or 185 km 590 meters
Step-by-step explanation:
to calculate total distance covered, convert km to meter and adding the numbers together
1km = 1000m
34 Kilometre 46 metre = (34 x 1000) + 46 = 34046m
143 kilometre 92 metre = ( 143 x 1000) + 92 = 143,092m
5 kilometre 92 metre = (5 x 1000) + 92 = 5092
2 kilometre 60 metre = (2 x 1000) + 60 = 2060
1.3 km = 1.3 x 1000 = 1300
What happens to the area of a circle if the circumference is doubled?
A. The area is 1/2 of the original circle
B. The area is the same as the original circle
C. The area is 2 times the original circle
D. The area is 4 times the original circle
E. The area is 8 times the original circle
Answer:
D. The area is 4 times the original circleStep-by-step explanation:
The circumference:
C = 2πrIf the circumference is doubled, it means the radius is doubled.
The area:
A = πr²And the new area:
A1 = π(2r)² = 4πr² = 4ACorrect choice is D
Answer:
Solution given:
area of a circle[A]=πr²
circumference of circle [C]=2πr
when circumference of circle is doubled
it becomes :4πr
Step-by-step explanation:
area directly proportional to circumference
πr²=2πr
when circumference is doubled
πr²=2(2πr)
so area
C. The area is 2 times the original circle
A waitress kept track of whether her customers ordered an appetizer and
dessert. Her data are shown in a relative frequency table.
Total
0.4
Dessert
No dessert
Total
Appetizer
0.1
0.2
0.3
No appetizer
0.3
0.4
0.7
0.6
1.0
What does the 0.2 in the highlighted cell mean?
A. 20% of the customers who ordered an appetizer did not order
dessert.
B. 20% of her customers did not order dessert.
C. 20% of her customers ordered an appetizer but no dessert.
D. 20% of her customers ordered an appetizer.
SUBMIT
PREVIOUS
In the table given in the question 0.2 means that 20% of her customers ordered an appetizer but not a dessert.
What is two way table?Two way table is a table which shows the frequencies or relative frequencies of some values in the data.
How to find frequency?From the table it is given that:
0.1=10% of the customers ordered both an appetizer and a dessert.0.3=30% of the customers ordered a dessert but not an appetizer.0.4=40% of the customers ordered a dessert.0.2=20% of the customers ordered an appetizer but not a dessert.0.4=40% of the customers neither ordered appetizer nor dessert.0.3=30% of the customers ordered an appetizer.0.7=70% of the customers did not order an appetizer.The total is of 100%.
Hence the highlighted cell mean contains 0.2 shows that 20% customers ordered an appetizer but not a dessert.
Learn more about two way table at https://brainly.com/question/16148316
#SPJ2
Math Minute 92b
can you guys help?
Answer:
n = 81
Step-by-step explanation:
sqrt(n) = 9
(sqrt(n))² = 9²
n = 81
compare the numbers with
>, <, =
- 3.5 ____ 2.8
7.4 ____ - 9
Answer:
-3.5 < 2.8
7.4 > -9
Step-by-step explanation:
If you have a negative number and a positive number the positive number is always greater.
When you have a negative number and another negative, the smallest number is greater.
For example: -2.5 -3.7
-2.5 is greater than -3.7 because it is less negative.
-2.5 > -3.7
When you have a positive number and a positive number, the biggest number is greater.
For example: 8.3 4.2
8.3 is greater than 4.2 because it is a bigger number.
8.3 > 4.2
Carlos went and purchased a new mattress for $644.80, including tax. He
made a down payment of $200 and plans to pay the balance off in 5 equal
monthly payments. What will Carlos monthly payment be for this mattress?
a $88.96
X $168.96
C$7413
d. $128.96
Find the surface area of the figure below. Leave answer in terms of TT. Round to the nearest hundredth if necessary,
18 km
3247 km2
Ob
4227 km2
Ос
3447 km
Od
12967 km2
Answer:
Surface area of the figure = 1,296π km²
Step-by-step explanation:
Given figure is a sphere;
Given:
Radius of sphere = 18 km
Find:
Surface area of the figure
Computation:
Surface area of the figure = Surface area of sphere
Surface area of sphere = 4πr²
Surface area of the figure = 4πr²
Surface area of the figure = 4π(18)²
Surface area of the figure = 4π(324)
Surface area of the figure = 1,296π km²
A rectangular pyramid has a base that is 10 millimeters long and 10 millimeters wide. The pyramid's slant height is 11 millimeters. What is its surface area?
3 feet
1 foot
2 feet
A package is shaped like a right rectangular prism. Use the dimensions shown to find the surface area of this package.
A)6 square feet
B)12 square feet
C)20 square feet
D)22 square feet
Answer:
The surface area is 22 square feet
Step-by-step explanation:
For a right rectangular prism, we have the formula for the area as;
A = 2(lb + lh + bh)
Accordingly, we have l as the length, b as the breadth and h as the height
Using the given dimensions, we have
A = 2(3(1) + 3(2) + 1(2))
A = 2(3 + 6 + 2)
A = 2(11) = 22 square feet
Will give brainiest & other. Help please!
Write an equation of the line in
slope-intercept form.
Answer:
y= 1x
Step-by-step explanation:
PLZZ HELPP ILL GIVE BRAINLIST
Answer:
C- 8.33 cars/h
Step-by-step explanation:
We know she washed 50 cars during 6 hours. To know how many she did per 1 hour, we must do the following:
50cars/6h = x/1hx represents the number of cars she washed per hour.
Now, solve it with Cross-multiplication.
50×1 = 6x50/6 = 6x/68.33 = xHope this helps!!
Фhelp me out please im so confused!
pleaSE?
Answer:
Step-by-step explanation:
I can't really tell from the image but it looks like the lines are parallel to each other
hola me ayudan
???????????
Answer:
AAAAAA
Step-by-step explanation:
please help me
please help with just one question at least
Answer:
1.A
2.C
3.D
4.C
Step-by-step explanation:
HOPE IT HELP
BRAINLIEST PLEASE
A bag of skittles contains 18 yellow, 12 green, 20 red, 10 orange, and 14 purple
Skittles. If one skittle is drawn at random, what is the P( purple | red).
Answer:
7/37 bc you add all of them up and it's 37 so
The diagram shows the dimensions of Mr. Green's garden. A bag of fertilizer costs $3 and covers an area of about 50 square feet. What will be the cost for Mr. Green to fertilize his garden?
Answer:
just multiply the numbers
Answer:
The area of his garden is
✔ 84 ft
2. Mr. Green will need
✔ 2 bags of fertilizer.
The cost will be $
✔ 6
How many passwords can you have if there are 2 numbers and 3 letters? (letters and numbers can repeat)
A.
6,760
B.
1,757,600
C.
676,000
D.
2,600
Answer:
D) 2,600.............
Answer:
d
Step-by-step explanation:
find two numbers that multiply to -72 and add up to -1
Answer:
-8 and 9
Step-by-step explanation:
-8 x 9 = -72
and -8 + 9 = 1
PLEASE HELP!
Use the bar graph to find the relative frequency of the event.
The relative frequency of spinning a 6 is ___
i think its 7
Hope this helps
-scav
Answer: 14%
Step-by-step explanation:
Pranav bought lunch at 5 Guys for $14.20. How much
tax will he pay with a sales tax rate of 6.5%?
Answer:
92 cents
Step-by-step explanation:
14.20×6.5%=0.923
Can someone plz help me with this one problem plzzzzz!!! Explain
Answer: 7 yards
Step-by-step explanation:
Solve the inequality 4x -5 greater than or equal to 7
ANSWER AND GET 30 POINTS!!! ASAP!!!
Which of the following are trigonometric identities? Select all that apply. (3)
What is a simplified form of the expression sec^2 x-1/sinx secx?
Answer:
1. A, E
2. C
Step-by-step explanation:
1. tan theta = 1/cot theta
sec theta = 1/ cos theta
2. Sec^2x-1 = tan^2x
sinx sec x = tanx
= tan^2x/tanx = tan x
The identities are (a) tan(θ) = 1/cot(θ), (c) 1 - sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) and the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)
Part A: The trigonometry identitiesAs a general rule, we have:
tan(θ) = 1/cot(θ)
sec(θ) = 1/cos(θ)
cosec(θ) = 1/sin(θ)
sin^2(θ) + cos^2(θ) = 1
The above means that:
(a) tan(θ) = 1/cot(θ), (c) 1 - sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) are identities
Part B: The trigonometric proofWe have:
[tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex]
Express the numerator as tan^2(x)
[tex]\frac{\tan^2(x)}{\sin(x)\sec(x)}[/tex]
The product sin(x)sec(x) = tan(x).
So, we have:
[tex]\frac{\tan^2(x)}{\tan(x)}[/tex]
Divide
tan(x)
Hence, the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)
Read more about trigonometry ratios at:
https://brainly.com/question/11967894
Find the area of the trapezoid
A. 44 Square units
B. 72 Square units
C. 88 Square units
D. 144 Square units
Answer:
Area = 13+9=22
22/2 = 11
11x 4 = 44 square units
the diameter of a circle is 6 kilometers.what is the circumference? use 3.14 As approximation for pi
Answer:
[tex]circumference = 2\pi \: d \\ = 2 \times 3.14 \times 6 \\ = 37.68 \: km[/tex]
Which set of ordered pairs does not represent a function?
{(5, -9), (6, -6),(-3, 8), (9,-6)}
{(-6, -4), (4, -8),(-6,9), (1, -3)}
{(1, -1), (-5,7), (4,-9), (-9,7)}
{(8,-9), (-3, -6), (-4, 4), (1, -5)}
Answer:
2
Step-by-step explanation:
{(-6, -4), (4, -8),(-6,9), (1, -3)}
These ordered pairs are not a function.
-6 has 2 outputs.
8100x3^-4 write in steps
Answer:
100
Step-by-step explanation:
Give me Brainllest