Answer:
A) 8d^2/3c
B) 3a^2b^3
Step-by-step explanation:
Answer:
Step-by-step explanation:
In exponent division, if base are same , subtract the exponents.
[tex]\frac{a^{m}}{a^{n}}=a^{m-n} , m>n\\\\ \frac{a^{m}}{a^{n}}= \frac{1}{a^{n-m}}, m<n[/tex]
a) 8c²d⁵ ÷ 2c³d³ = [tex]\frac{8}{2}* \frac{d^{5-3}}{c^{3-2}}= 4*\frac{d^{2}}{c}= \frac{4d^{2}}{c}[/tex]
b) 9a³b⁵ ÷ 3ab² = [tex]\frac{9}{3}* a^{3-1}*b^{5-2} = 3a^{2}b^{3}[/tex]
Find the area of the following shape:
Answer:
19 cm²
Step-by-step explanation:
→ Work out the area of the rectangle
1 × 7 = 7
→ State the formula for the area of the triangle
0.5 × base × height
→ Find the base and height
Base = 3 and height = 8
→ Substitute values into formula
0.5 × 3 × 8 = 12
→ Add this total to the rectangle formula
12 + 7 = 19 cm²
Paul started a company. In the first year, his company built 6 structures. The number of structures that his company built doubled every year.
How many structures did paul’s company built in the 5th year?
A. 90
B. 9
C. 192
D. 186
Answer:
D=186
Step-by-step explanation:
you have to times the number of structures that doubles in a-year so 6×2 then multiply by the years
6 cars 4 people in each car HELP I HAVE 3 minutes
Answer:
Here we have 6 cars.
And we know that there are 4 people in each car.
The question is incomplete, I assume that we want to find the total number of people in the 6 cars.
So, again, there are 6 cars, and 4 people in each one.
Then we have 6 times 4 people.
This is equal to the product between 6 and 4, which is:
6*4 = 24
There is a total of 24 people in the 6 cars.
Complete the work to calculate the scale factor. 1. Scale factor = StartFraction Scale drawing dimension over original dimension EndFraction. 2. Enter the corresponding lengths: StartFraction 24 over 3 EndFraction. What is the scale factor?
Answer:
8
Step-by-step explanation:
To obtain scale factor of a particular drawing:
We use the relation:
Scale factor = Scale drawing dimension / original dimension
Given :
Scale drawing dimension = 24
Original dimension = 3
Scale factor = 24 / 3
Scale factor = 8
Answer:
an enlargement
Step-by-step explanation:
given log base3 4 = log base 1/27 k , find the value of k .
Answer:
k =0.156
Step-by-step explanation:
According to the Question,
We Have To apply Just some Basic Properties of log here.
[tex]log_{3}4 = log_{1/27}k\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1/27 }\\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1-log_{27} }\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{0-3*0.4771} }\\\[/tex]
0.620/0.4771 = ㏒k / -1.4313
㏒k = -1.86
k = anti㏒(-1.86)
k =0.156
(2) Find the geometric mean. Approximate your answers to the approxi-
mate to nearest tenth.
4.
5 and 20
5. 3 and 12
7.
3.5 and 20
6.
8 and 13
9. į and
8.
1.5 and 84
M
Answer:
Geometric mean is the nth root of the product of n numbers
For two numbers it's the square root
for three numbers it's the cube root
for 4 numbers it's the fourth root
etc.
--------------------------
5 and 20
m = √(5 * 20) =
m = √100
m = 10
3 and 12
m = √(3 * 12)
m = √36
m = 6
do the rest the same way
The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have
concessions and restrooms. Arrange the structures in the sports complex using translations, reflections, and rotations so that the final
arrangement satisfies each of these criteria:
. All the fields and buildings fit on the provided lot.
• Each field is adjacent to at least one building for ease of access.
. Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.)
• For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball
field.
Answer:
See Explanation
Step-by-step explanation:
(Please Find Diagram in the attachment)⇒Answer Drawing is Given There.
According to the question,
Given that, The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms. Now, Arrange the structures in the sports complex using translations, reflections, and rotations so that the final arrangement satisfies each of these criteria: All the fields and buildings fit on the provided lot. Each field is adjacent to at least one building for ease of access. Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.) For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball fieldArt class is 5% of an hour each school day. How many hours of art does a student have in five days ?
*no links are allowed. *
Answer:
okay, so ... In a day, We all have 24 hours in a day
60 mins = 1 hr
5%
5/100×1 hr=
5 days =
okay, this is difficult
PLEASE HELP WILL MARK BRAINLIEST
Answer:
[tex]slop = \frac{2 - 1}{2 - 0} = \frac{1}{2} \\ for \: point \: x = 0 \: y = 1 \\ y - 1 = \frac{1}{2} \times (x - 0) \\ y = \frac{1}{2} x + 1[/tex]
How do I solve this?
Answer:
Step-by-step explanation:
First, let's find the area of the triangle. The Area of a triangle can be modeled as
b x h x 1/2; base = 6 and the height equals 8. 6x8=48 then don't forget to divide by 2. 48/2= 24
To find the area of a half-circle, you first need to find the area of the whole circle. Whole circle area equation = r^2 times pi. The diameter is 8 and the radius is 1/2 times the diameter, therefore the radius = 4. 4^2= 16
16pi= approximately 50.24
50.24/2= 25.12
25.12 + 16 = 41.12
The area of the figure is approximately 41.12 ft^2
Hope this helps and please mark me brainliest, it really helps!
:)
Answer:
49.12 ft²
Step-by-step explanation:
The compound figure includes both a right angled triangle and a semi-circle. To find the area of the figure, it is best to find the area of both shapes then add them.
Area of semi-circle = (πr²) ÷ 2
= (3.14 × 4 × 4) ÷ 2
= 50.24 ÷ 2
= 25.12 ft²
Area of triangle = [tex]\frac{1}{2}[/tex]bh
= [tex]\frac{1}{2}[/tex] × 6 × 8
= 24 ft²
Area of compound figure = Area of semi-circle + Area of triangle
= 25.12 + 24
= 49.12 ft²
which equation can be used to represent the statement?
The sum of one-sixth of a number and negative two is equal to negative two-thirds.
a) 1/6+n=2+2/3
b)1/6+n= -2+(-2/3)
c)1/6n+2= -2/3
d)1/6n-2= -2/3
Answer:
its option d
Step-by-step explanation:
hope it helps
Help me please ASAP
ans is c it is simple c only meet the need of questions
the segments shown below could form a triangle:
9, 7, and 16
A. True
B. False
Ben is paid £12.50 per hour.
If he works for more than 7 hours in a day, he is paid overtime for the additional hours at a rate of 1.4 times his normal rate of pay.
Yesterday, Ben worked for 9 hours.
How much money did he earn?
Answer:
157,9 pounds
Step-by-step explanation:
we know that he earn 12,50 per hour and that more than 7 hour of work he earn x 1,4 than the normal.
1- 12,5 x 1,4= 17,5
2- 17,5 x 9 = 157,5
hope i helped u!!
Find the area of this circle. Use 3 for pi. A = pi r2. radius is 15 ft so answer is [?] ft?
Answer:
675 sq feet
Step-by-step explanation:
Radius =15ft
Area = 3(15)^2
= 3(15)(15)
= 3(225)
=675 sq ft
Answer:
675
Step-by-step explanation:
We square r first, so 15 ^ 2 = 225.
Then multiply by pi, which is 3 for this problem. 225 x 3 = 675.
Therefore, the answer is 675.
What is the surface area of a sphere with a radius of 21 units
Hope this helps
Answer: 5541.77
Sam works as a baggage carrier at an airport facility. He owes a certain amount of money, in dollars, to his friend Daniel. The function y = 12x − 40 represents the amount of money that Sam has after paying Daniel back in terms of the number of hours he works at the airport.
Answer:40: the amount in dollars that sam owes Daniel. 12: the amount in dollars that sam earns per hour, y variable: the amount in dollars that sam has after paying back Daniel, x variable: the number of hours Sam works at the airport.
Step-by-step explanation:
Answer:
x variable = represents the number of hours Sam works at the airport
y variable = represents the amount in dollars that Sam has after paying Daniel
12 = is the amount in dollars that Sam earns per hour
40 = is the amount in dollars Sam owes Daniel
Step-by-step explanation:
Given that HCF (306,657) = 9, find LCM (306,657)
Answer:
The LCM of 306 and 657 is 22338
Step-by-step explanation:
We know that
HCF (a, b) × LCM (a, b) = a × b
⇒ HCF (306, 657) x LCM (306, 657) = 306 × 657
⇒ 9 × LCM = 306 × 657
⇒ LCM (306, 657) = 306 × 657 / 9
= 201042 / 9
∴ LCM = 22338
Thus, the LCM of 306 and 657 is 22338.
Yea thank for the answer
Answer:
Step-by-step explanation:
Hello!
10*17 = > 170 cm²
(3,14 * 8)/4 =>6,28cm²
170 + 6,28 => 176,28cm²
Answer:
182.56
Step-by-step explanation:
Area of the rectangle = 10 * 17 = 170cm^2
Area of Circle = 8 * 2 * [tex]\pi[/tex] * 1/4
=> 12.56
=> 170 + 12.56
=> 182.56 is the area
Hope it helps :)
state wether the product of √3 and √9 is rational or irrational. explain your answer
√9 is rational and √3 irrational number
What is the measure of angle NLP?
55
90
Answer:
55° , i dont know how to explain but its correct. it is an acute angle though.
Answer:
55 is a correct answer.......
I WILL GIVE YOU BRAINLIEST
Help me now NO LINKS OR FAKE ANSWERS OR YOU WILL BE REPORTED Thanks for helping the image is above ¡
Answer:19 would be 79 because you would do 8 plus itself 7 times which would be like 8*7 which is 56 so 56+23 is 79 im not sure what 18 is because im not sure if its x*2 or x^2 but 20 would just be 38/4 which is 9.5 so the answer for 20 is that Becca makes $9.5 dollars an hour.
Step-by-step explanation:
4.2 To buy a new car is not a very good investment. In the first year the car will
decrease in value by 25%.
4.2.1
If the car costs R200 000, what will it be worth after 1 year?
Given:
In the first year, the car will decrease in value by 25%.
The cost of a car is Rs. 200,000.
To find:
The worth of the car after 1 year.
Solution:
The cost of a car is Rs. 200,000 and in the first year the car will decrease in value by 25%. So, the worth of the car after 1 year is:
[tex]Worth=200000-\dfrac{25}{100}\times 200000[/tex]
[tex]Worth=200000-\dfrac{1}{4}\times 200000[/tex]
[tex]Worth=200000-50000[/tex]
[tex]Worth=150000[/tex]
Therefore, the worth of the car after 1 year is Rs. 150,000.
Work out the perimeter of this shape.
Answer: 72.6 cm
Step-by-step explanation:
Data: the length of the sides we know=13 cm, 16 cm 7.3 cm, 5.7 cm, 6.2 cm
The length of the side in the middle=x
The perimeter of the shape=x
Step one, Find the length of the missing side by adding then subtracting
5.7+6.2=11.9
16-11.9=4.1
x=4.1 cm
Reason: If you want to find the missing side, we know that the entire side down there is 16 cm so we just add 5.7 to 6.2 to get 11.9 and the amount of cm left after subtracting 11.9 from 16 will be the length(l) of the missing side.
Step two, add up all the sides
13+13+16+7.3+7.3+4.1+5.7+6.2=72.6
Reason: To find the perimiter of a shape, you add up all the sides and since we have all of the sides(some sides appear twice) we can just add them all together for the answer.
Also, don't forget the 'cm' in the answer
x=72.6 cm
I hope this helps!
525/4 ÷ 35/4 need the answer quick
Answer:
15
Step-by-step explanation:
525/4 ÷ 35/4
=525/4 x 4/35
=525/35
=105/7
=15/1
=15
What’s the value of x?
G
53°
45
H
x°
Answer:
x = 98°
Step-by-step explanation:
95 + 53 + (180 - x) = 180
148 + 180 - x = 180
328 - x = 180
328 - x + x = 180 + x
x + 180 = 328
x + 180 - 180 = 328 - 180
x = 98°
The required measure of the remote exterior angle x is 98°.
Given that,
A triangle has shown,
Where two remote interior angles with measures 45° and 53° are given and a remote exterior angle with measure x is given, we have to determine the value of x.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the angle?The orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
There is a property of a triangle that, the sum of the remote interior angle is equal to the measure of the remote exterior angle. So,
x = 53 + 45
x = 98°
Thus, the required measure of the remote exterior angle x is 98°.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ1
Find the indicated area under the curve of the standard normal distribution; then convert it to a percentage and fill in the blank. About ______% of the area is between z1 and z1 (or within 1 standard deviation of the mean). About 68 nothing% of the area is between z1 and z1 (or within 1 standard deviation of the mean).
Answer:
68% of the area
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this question:
By the Empirical Rule, 68% of the area is within 1 standard deviation of the mean.
Answer:
the correct answer is 68.27%
Step-by-step explanation:
I need a answer asapppppppp
Answer:
0.97
Step-by-step explanation:
in this case the number 1 signifies 100 percent hence
1-0.03=0.97
:))) enjoy your day
if f(x)= 10 – 2x and g(x) = 6x - 5, then (f+g)(x) =
Answer:
4x +5
Step-by-step explanation:
f(x)= 10 – 2x
g(x) = 6x - 5
(f+g)(x) =10 – 2x + 6x - 5
Combine like terms
= 4x +5
Answer:
( f + g )( x ) = 4 x + 5
Step-by-step explanation:
f ( x ) = 10 - 2 x
g ( x ) = 6 x - 5
( f + g )( x) = ( (10 - 2 x ) + (6 x -5) )
= 10 - 2x + 6 x - 5
combine like terms
= 2 x + 6 x + 10 - 5
= 4 x + 5