Answer:
Step-by-step explanation:
50a³b = 2⋅5²a³b
8ab = 2³ab
GCF = 2ab
50a³b - 8ab = 2ab(5²a² - 2²)
5²a² - 2² = (5a - 2)(5a + 2)
G. 9−7+{−2+3−[4−2+(3+2)−7]+8} h. – {- [ (14 - 7) - (32 - 41)]} i. – [(-8 + 3) + (- 21 – 12)] j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } k. (9 + 7 – 2 + 4) – ( 9 -12 )
Answer:
g. 9−7+{−2+3−[4−2+(3+2)−7]+8} = 11
h. – {- [ (14 - 7) - (32 - 41)]} = + 16
i. – [(-8 + 3) + (- 21 – 12)] = + 38
j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } = 506
k. (9 + 7 – 2 + 4) – ( 9 -12 ) =21
Step-by-step explanation:
These questions are solved by solving the small brackets, then square brackets and then the curly brackets.
g. 9−7+{−2+3−[4−2+(3+2)−7]+8}
= 9−7+{−2+3−[4−2+(5)−7]+8} Solving inner small brackets
= 9−7+{−2+3−[9−2−7]+8} Solving outer square brackets
= 9−7+{−2+3−0 +8} Solving curly brackets
=9−7+{9} Adding like terms ( adding positive terms)
= 18-7
= 11
h. – {- [ (14 - 7) - (32 - 41)]}
= – {- [ (14 - 7) - (-9)]} Solving inner small brackets
= – {- [ (7) +9]} Solving inner small brackets
= – {- [ 16 ]} Solving outer square brackets
= – {- 16 } Solving curly brackets
= + 16 (-*-= +)
i. – [(-8 + 3) + (- 21 – 12)]
= – [(-8 + 3) + (- 33)] Solving inner small brackets
= – [(-5 - 33)] Solving inner small brackets
=– [( - 38 )] Solving outer square brackets
= + 38 (-*-= +)
j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 }
= 500 – {( 6 + 4 + 3 + 16 – 18 -10 – 2) – 5 } Solving inner small brackets
= 500 – {( 29 – 30) – 5 } Solving inner small brackets
= 500 – {( – 1) – 5 } Solving inner small brackets
= 500 – { – 6} Solving curly brackets
= 500 + 6 (-*-= +)
= 506
k. (9 + 7 – 2 + 4) – ( 9 -12 )
= (9 + 7 + 4– 2 ) – ( -3 ) Solving inner small brackets
= (20 – 2 ) – ( -3 ) Solving inner small brackets
= (18 ) – ( -3 ) (-*-= +)
= 18 +3
=21
Which trig function would you use to solve for x?
A.) No answer text provided.
B.) tan40= x/19
C.) sin40= x/19
D.) cos40= x/19
Given:
The figure of a right angle triangle with hypotenuse=19, leg=x and opposite angle is 40°.
To find:
The trigonometric function that is used to solve for x.
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
In can be written as:
[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]
Using this ratio for the given triangle, we get
[tex]\sin 40^\circ =\dfrac{x}{19}[/tex]
Therefore, the correct option is C.
$14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously. How much will be in the account after 3 years? Round to the nearest cent. $15,784.96 $15,820.00 $43,714.05 $46,481.64 if you could could you please explain thank you.
$14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously then $15,784 is the amount after 3 years.
What is Probability?
It is a branch of mathematics that deals with the occurrence of a random event.
Given that $14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously.
We need to find the amount in the account after 3 years.
[tex]A=Pe^r^t[/tex]
where A is the amount of money after t years,
P is the principal amount
r is the annual interest rate
P = $14,000, r = 0.04 and t=3
[tex]A = 14000e^(^0^.^0^4^3)[/tex]
A = 15,784
Hence, $14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously then $15,784 is the amount after 3 years.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
A spinner has 10 equal sized sections. Two of the sections are green.
A. What is the probability that the spinner will land on green?
B. Use words to describe the probability.
Answer:
Hello love the answer would be 2/10 or reduced 1/5
Answer:
A. 1/5
B. There is a 1/5 probability the spinner will land on green
Step-by-step explanation:
A. 2/10 simplified
B. I just put it into words
PLEASE HELP!!!!
The surface area of a regulation spherical soccer ball is about 484π
square centimeters. If the diameter of the regulation ball is reduced by 50%
to produce a new ball, what is the diameter of the new ball, to the nearest tenth of a centimeter?
A. 5.5 cm
B.7.8 cm
C. 11.0 cm
D.15.6 cm
The diameter of the new ball, to the nearest tenth of a centimeter, is 11.0cm
We have given that,
The surface area of a regulation spherical soccer ball is about 484π
square centimeters. If the diameter of the regulation ball is reduced by 50% to produce a new ball.
We have to determine,
The diameter of the new ball, to the nearest tenth of a centimeter.
What is the surface area of a spherical soccer ball?
The volume of a sphere = 4/3 × πr^3.
Therefore we get,
[tex]\frac{484}{50}= 11.0[/tex]
Therefore we get the diameter of the new ball, to the nearest tenth of a centimeter is 11.0cm.
To learn more about the diameter visit:
https://brainly.com/question/23220731
#SPJ2
solve for x and show your work
2x + a= b
Answer:
x = b-a/2
Step-by-step explanation:
2x + a = b
2x = b-a
x = b-a/2
WILL GIVE BRAINLIEST.
Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.
n an
1 4
2 −12
3 36
the summation of 4 times negative 3 n, from n equals 4 to 15
the summation of 4 times negative 3 n, from n equals 1 to 15
the summation of 4 times negative 3 to the n minus 1 power, from n equals 1 to 15
the summation of 4 times negative 3 to the n minus 1 power, from n equals 4 to 15
Answer:
option D
Step-by-step explanation:
Took the test
Answer: the summation of 4 times negative 3 to the n minus 1 power, from n equals 1 to 15 (option D)
Step-by-step explanation: I took the test and got it right :)
Question 10:
Find the cosine of angle J.
28
J
N
Answer:
1/14
Step-by-step explanation:
According to SOH CAH TOA;
Cos theta = adjacent/hypotenuse
Since theta = <J
Adjacent = 2
Hypotenuse = 28
Cos <J = adj/hyp
Cos<J = 2/28
Cos<J = 1/14
Hence the value of cosine J is 1/14
Which of the following are solutions to the graph?
Select all that apply:
Question 12 options:
(-6, -4)
(-2, -2)
(-1, 0)
(2, 0)
(4, 1)
(2, 6)
The solutions are the points that belong to the line, these are:
(-6, -4)
(-2, 2)
(-1, 0)
(2, 6)
Which of the points are solutions to the graph?Here we can see that we have the graph of a linear equation. The given points would be solutions if the points lie on the graphed line.
Remember that for a point (x, y), x is the value you need to look in the horizontal axis and y is the value that you need to look on the vertical axis.
Then, from the given points the ones that are on the graphed line are:
(-6, -4)
(-2, 2)
(-1, 0)
(2, 6)
All these points are on the line, thus, are solutions.
If you want to learn more about graphs:
https://brainly.com/question/4025726
#SPJ1
Am I correct on these two
Answer:
9. Correct 12. Incorrect, it's D
Step-by-step explanation:
9. There is a 1:2 ratio of blue to red paint to create the shade of purple, so 6:12 would follow the 1:2 ratio so it's correct.
12. 6:14 can be simplified to 3:7 ratio. 8:16 doesn't follow 3:7 (it follows 1:2) so it can't be the right answer. 12:28 follows the ratio so it's right.
Eva received a 20% discount when she bought a sweater. The original price of the sweater before the discount was $80. Which was the discount on Eva's sweater?
Answer:
8
Step-by-step explanation:
Yes
Please answer this
15-10%
Answer:
What?
Step-by-step explanation:
What are you asking lol
Answer:
13.5
Step-by-step explanation:
10% of 15 is 1.5
15-1.5=13.5
I need help please quickly please
Answer:
Step-by-step explanation:
plug the equations into Desmos
as attached
y = -3x-6
x + 3y = 6
3y = -x +6
y = -1/3x +2
-3x-6 = -1/3x +2
-8/3x = 8
x = - 3
y=-3(-3)-6
y = 9-6
y = 3
help what’s the answer
Help. I am trying to solve these questions in math called ‘Two Step Equations’. I need answers
1. -3 x - 5 = 16
2. -4(y-2) = 12
(don’t put links. Or i’ll report you)
Answer:
1. x= -7
2. y= -3.5
Step-by-step explanation:
The Conner family has created a budget for their $3000 monthly income. Based on the budget below, which statement is not true?
savings accounts for 20% of the budget
savings accounts for 20% of the budget
the rent and savings account for more than 50% of the budget
the rent , and, savings account for more than 50% of the budget
the car accounts for 10% of the budget
the car accounts for 10% of the budget
insurance accounts for 15% of the budget
insurance accounts for 15% of the budget
Skip to navigation
Answer:
rent and savings account for more than 50% of the budget
Step-by-step explanation:
Answer:
The rent and savings account for more than 50% of the budget
Step-by-step explanation:
It's easy to get confused for this answer because rent and savings ($900 + $600) is 50% of their savings, but it says more. The way to show your work is basically just going through all the answer choices, adding them together, and then multiplying the percentage.
900+600=1500
3000x0.50=1500
That is exactly 50% but not more
Hope this helps!
Cual es la diferencia común de la secuencia aritmética 5,8,11,14?
Answer:
a
Step-by-step explanation:
HELPHELPHELP I NEED THE ANSWER TO THIS RIGHT NOW
cora wants to purchase a new bicycle the original price of the bicycle is 75 cents but there is a special sale for 8% off. what equation will calculate the amount of discount?
Answer:937.5
Step-by-step explanation:if your dividing this is the answer
What is the volume of the cargo area of the moving truck?
A. 696 cubic feet
B. 756 cubic feet
C. 824 cubic feet
D. 888 cubic feet
Answer:
888sq. ft
Step-by-step explanation:
Volume of a rectangular prism = length * width * height
For the given diagram
area of the truck = area of the bigger + area of smaller prism
area of the bigger prism = 6 * 9 * 16
area of the bigger prism = 864sq. ft
Area of smaller prism = 2 * 2 * 6
Area of smaller prism = 24 sq. ft
Area of the figure = 864 + 24
Area of the figure = 888sq. ft
75 is 25% more than 60, but 60 is 20% less than 75, explain why?
Answer:
because 75 is a larger number
Step-by-step explanation:
eg. 1% of 100 is 1, but 1% of 50 is 0.5
pls help asap !!!!!!!!!!!!!!!!!!!!!
Answer:
For the 1st one: 63
For the second one: 99
Step-by-step explanation:
This is because to find the perimeter, you have to do length+length+width+width=area
So you do 77+77+x+x=280, this should get you x=63
For the second one, to find area you do length×width=area
So you do 59×x=5841 and should get 99.
HELP giving brainlest
Answer:
It should be "there ARE 254 counties in texas..."
Step-by-step explanation:
is the wrong one it should be are
Step-by-step explanation:
What is the area of this figure???
Answer:
24 mm squared
Step-by-step explanation:
3 x 4 x 1/2 = area of the triangle
4 x 3 = area of the rectangular top left
1 x 6 = area of the bottom rectangle
3 x 4 = 12 x 1/2 = 6
4 x 3 = 12
6 x 1 = 6
6 + 12 + 6 =24
Which statement shows the associative property of addition?
7⋅(4⋅x)=(7⋅4)⋅x
13 + 5a = 5a + 13
(d + 4) + 17 = 17 + (d + 4)
(18 + 6) + y = 18 + (6 + y)
Answer:
D
Step-by-step explanation:
According to the associative property of addition, you can put the parentheses anywhere you like. This is the only one that works.
1.
Frozen chickens will be sold by a major chain of supermarkets only if their weight
is at least 1.2 kg and not more than 3.4
kg.
(a) Represent this information on a number line.
Write an inequality to describe this.
Answer:
In the number line it should be between 1.2 and 3.4
intervals of 0.2
for e.g: 3.4 3.2 3.0 2.8 2.6 2.4 2.2 2.0 1.8 1.6 1.4 1.2
Step-by-step explanation:
Assume chicken to be x
1.2 [tex]\leq[/tex] x < 3.4
Inequality shows a relationship between two numbers or two expressions.
The inequality to describe the chicken that can be sold only when the chicken weighs between 1.2 kg to 3.4 kg is
1.2 ≤ x ≤ 3.4
Where x is the number of chicken.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
Example:
2 < 3
3x > 2x
3x + 4 > 4x
We have,
Number of chickens that can be sold = x
Chicken is sold only if the chicken weighs between 1.2 kg and 3.4 kg.
This can be represented by inequality as,
1.2 ≤ x ≤ 3.4
Thus,
The inequality to describe the chicken that can be sold only when the chicken weighs between 1.2 kg to 3.4 kg is
1.2 ≤ x ≤ 3.4
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
Help please :) will give brainlist
Answer:
34.9
Step-by-step explanation:
Because if you multiply then divide by 2 that will help you alot.
You want to wrap the box with a square piece of wrapping paper with a side length of 24 inches. Do you have enough paper to wrap the entire box? Explain.
Answer:
It depends on the size of the box
Step-by-step explanation:
Since the dimensions of the box are not included you can't answer the question
Michael has 27 keys, which is 3 times as many as Rachel. Rachel has 8 more keys than Ann. How many keys does Ann
have?
Answer:89
Step-by-step explanation:
Multiply 27 by 3, then add 8 to your answer and you get 89
What is 1/3 of 8 1/4
Answer:
2.75
Step-by-step explanation:
use a calculator
Hope this helps! :)
Can anyone help me with this geometry question?
I just don't know what is the last step, we are trying to prove that BD bisects angle ADC
6.∠ADB = ∠BDC reason :(CPCTC)
7.BD bisects ∠ADC reason :(From statement 6)
Hope it helps you......