Answer:
No real solution
Step-by-step explanation:
18-6k=24-6k
18=24
No Real Solution
Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
(2a -5)²(3a -4b)(3a +4b)Step-by-step explanation:
There are a couple of factored forms that are used here:
(a +b)² = a² +2ab +b² . . . . the sign of "2ab" will match the sign of b
a² -b² = (a -b)(a +b)
__
Part A:
Since this trinomial is known to be a perfect square, you can find the binomial(s) by looking at the roots of the first and last terms.
√(4a²) = 2a
√25 = 5
The factoring is ...
4a² -20a +25 = (2a -5)²
__
Part B:
This is the difference of perfect squares, so the terms of the factors can be found as in the previous part.
√(9a²) = 3a
√(16b²) = 4b
Using the above factored form, we have ...
9a² -16b² = (3a -4b)(3a +4b)
Find the quotient.
1. 48÷3=
.
2. In the expression, 96 divided by 8 = a , the quotient a =
.
3. Divide 12 lizards into 6 equal groups. How many lizards are in each group?
There are
lizards in each group.
Answer:
48÷3=16
Step-by-step explanation:
In the expression, 96 divided by 8 = a , the quotient a =12
. Divide 12 lizards into 6 equal groups. How many lizards are in each group?
There are2
lizards in each group.
Answer:
1. 16
2. 6
3. 2
Step-by-step explanation:
What is 2(12) 3/2 in its simplest form?
Answer:
1 1/2
Step-by-step explanation: it is 1 1/2 because 3/2 is improper there is one left over and a half therefore 1 1/2 is the answer not 11/2 just to be clear
The value of the mixed expression 2 x (12) x 3/2 will be 36.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is 2 x (12) x 3/2. the value of the expression will be calculated as below:-
E = 2 x (12) x 3/2.
E = 12 x 3
E = 36
Therefore, the value of the mixed expression 2 x (12) x 3/2 will be 36.
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The top of the gumball machine on the left is a sphere with a diameter of 20 inches. When the machine is full it can hold 3500 gumballs, leaving 40% of the space in the machine empty. What is the approximate radius of each gumball? Round to the nearest hundredth and use 3.14 for Pi
Answer:
0.555 in
Step-by-step explanation:
The first thing we must do is calculate the volume of the machine, the volume of a wait is:
v = (4/3) * pi * (r ^ 3)
we know that the diameter is twice the radius, therefore:
r = d / 2 = 20/2
r = 10, replacing:
v = (4/3) * 3.14 * (10 ^ 3)
v = 4186.66 in ^ 3
Now, we know that by leaving 40% of space in the machine there are 3,500 chewing gums, therefore, 60% of that volume is chewing gum.
4186.66 * 0.6 = 2512
to calculate the volume of a chewing gum:
3500 * v = 2512
v = 2512/3500
v = 0.7177 in ^ 2 is the volume of a single chewing gum
if we solve the sphere formula for r, we are left with:
r ^ 3 = v * (3/4) / pi
replacing
r ^ 3 = 0.7177 * (3/4) /3.14
r ^ 3 = 0.1714
r = 0.1714 ^ (1/3)
r = 0.555
the radius of each gum is 0.555 in
Jack is trying to figure out a rule for this table. He comes to the conclusion that the rule is f(x)= 3%. Why is Jack's rule incorrect?
Answer:
B) [tex]3^{4} \neq 243[/tex]
Step-by-step explanation:
WILL MARK BRAINLIEST PLS HELP!!! A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50ft . What is the volume of the sphere? A 50/3 B 100/3 C 75 D 100
Answer:
i think its a
Step-by-step explanation:
The probability of getting a 6 after rolling a fair dice 16.
Abby is going to roll the dice 30 times.
Estimate the number of times the dice will land on a 6.
Answer:
P(6) = 5
Step-by-step explanation:
The dice is cast 30 times (k = 30)
So if the big numbers apply, then you would expect the outcome to be evenly distributed, meaning
5 x 1
5 x 2
5 x 3
5 x 4
5 x 5
5 x 6
____ +
30 casts in total (evenly distributed over all numbers of the dice)
P(6) = 1/6 * 30
P(6) = 5
Jackson at the collectibles fair. He has exactly $8 and will purchase a collectible from a vendor for $5. What percent of his money will Jackson spend on the purchase?
Answer:
62.5%
Step-by-step explanation:
Total money with Jackson = $8
Money spent for buying collectible = $5
__________________________________________________
Percentage of any number A with respect to another number B is calculated by multiplying fraction A/B with 100
Numerically A as percentage of b will be expressed as (A/B)100 %
It means that if there are 100 items instead of B item then what will be the value of A.
______________________________________________________
Percentage of money spent = (Money spent for buying collectible /Total money with Jackson)
Substituting the total money and money spent for buying collectible
we have
Percentage of money spent = 5/8 * 100 = 0.625*100 = 62.5%
Thus, 62.5% percent of his money will Jackson spend on the purchase of collectible.
line q goes through points (-3,3) and (-5,-3). At what point does line q cross the y-axis
Answer:
(0,12)
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
Steve is 6 years older than Kim. Their ages total is 22. How old is Steve?
Answer:
14
Step-by-step explanation:
Because 14-6= 8 and then 14+8= 22
What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?
A. 14 units
B. 13 units
C. 12 units
D. 5 units
Answer: 13 units
Step-by-step explanation:
I have no access at 6 pm
Answer:
A and E
Step-by-step explanation:
I would plug in N as any number just to see if they are equal. I did 5.
A. 28(5)-35= -105
B. 28(5-35)= -840
C. 28(5-7)= -56
D. 7(4*5-35)= -105
E. 7(4*5-5)= 105
In a right triangle, the length of one leg is 4 units. The length of the other leg is 10 units. What is the length of the hypotenuse? A) v12 Units B) v14 units C) v84 units D) v116 units
Answer:
Step-by-step explanation:
Hypotenuse^2=4^2+10^2=16+100
Hypotenuse^2=116
Hypotenuse=square root of 116
units
The length of the hypotenuse is √116.
Option D is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Hypotenuse = H
Applying the Pythagorean theorem.
H² = 4² + 10²
H² = 16 + 100
H² = 116
H = √116
Thus,
The length of the hypotenuse is √116.
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Which expression is a cube root of -2?
A. Cubed root of 2 (cos(90°) + isin(90°))
B. Cubed root of 2 (cos(120°) + isin(120°))
C.cubed root of 2 (cos(60°) + isin(60°)).
D. Cubed root of 2 (cos(260°) + isin(260°))
If you raise a cube root of -2 to the third power, the resulting number will have a congruent argument. We have
-2 = 2(cos 180º + i sin 180º)
Pick a number from the 4 given options, and raise it to the third power using DeMoivre's theorem. For example,
[tex]\left(\sqrt[3]{2}\left(\cos90^\circ+i\sin90^\circ\right)\right)^3=2\left(\cos(3\cdot90^\circ)+i\sin(3\cdot90^\circ)\right)=2(\cos270^\circ+i\sin270^\circ)=-2i[/tex]
so the first option is not a cube root of -2 because the argument 270º is not congruent to 180º. Similarly, the second and fourth options are also not cube roots of -2.
On the other hand,
[tex]\left(\sqrt[3]{2}(\cos60^\circ+i\sin60^\circ)\right)^3=2(\cos180^\circ+i\sin180^\circ)[/tex]
so the third option is a cube root of -2.
PLEASE HELP ME!!!!!!!! I CANT GET IT! PLEASE HELP QUICKLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The length of a rectangle is four times its width. The width of this rectangle is 9 inches less than its length. Find the length and the width of the rectangle.
You answer would be 27, if I did my maths correct.
You get 27 by doing:
9*4=36
36-9=27
Correct me if I am wrong thank you!
Answer:
At first I got 39 but then I redid it and got 27!
What value ofj makes this addition sentence true? (Hint: Use properties of addition)
64+ (98 +28) = (j +64) + 98
Mark bought 29 gummy worms at the candy store. His friend Camille also bought some gummy worms. When they counted all of them together, Mark and Camille had 78 gummy worms. Which equation, when solved, will show how many gummy worms Camille bought?
Answer:
camillie bought 49 gummy worms
Step-by-step explanation:
78-29= 49
Answer:
49
Step-by-step explanation:
If all together they have 78. Subtract 29 from 78 to get the answer 49.
Any help someone....
(solve triangles using the law of sines)
Answer:
[tex]B=51[/tex]°
Step-by-step explanation:
Use the Law of Sines as follows:
[tex]\frac{sinC}{c} =\frac{sinB}{b}[/tex]
Insert the appropriate values:
[tex]\frac{sin100}{14} =\frac{sinB}{11}[/tex]
Isolate B. Multiply both sides by 11:
[tex]11*(\frac{sin100}{14} )=11*(\frac{sinB}{11})\\\\\frac{11*sin100}{14} =sinB\\\\sinB=\frac{11*sin100}{14}[/tex]
Use the inverse:
[tex]B=sin^{-1}(\frac{11*sin100}{14})[/tex]
Insert the equation into a calculator and round to the nearest degree:
[tex]B=50.7\\\\B=51[/tex]
Angle B is 51°.
:Done
What is the area of the triangular part of the flag below
Scott has jaunt baked 24 cookies he want to put them in a paper bags in groups of 5 how many groups of 5 can he make how many cookies will he have remaining
Answer:
He can make 4 groups as for the 5th group he left with 4 cookies.
So your answer would be 4 groups and 4 cookies.
hope it helps!
Given the equation, (x - h)2 + (y - k)2 =r2, what are the coordinates of the center?
The coordinates of the center are ( , )
Answer:
(h, k).
Step-by-step explanation:
This is the standard form of the equation of a circle
The coordinates of the center are (h, k)
The radius is r.
The coordinates of the center are (h, k).
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The equation is,
⇒ (x - h)² + (y - k)² = r²
Now, We know that;
The standard form of the equation of circle is,
⇒ (x - h)² + (y - k)² = r²
Where, (h, k) is coordinates of the center and r is the radius of the circle.
Hence, By comparing, we get;
The coordinates of the center are (h, k).
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Look at the pic in the corner it’s math
Answer:
The third one
Step-by-step explanation:
Its because we need to find the number that it has grown.
so we add the number that it grew to the size it was before.
Answer: 1.85 + x = 5.30
Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.
X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.
So we can write this as 1.85 + x = 1.30.
Please help what is the solution to the equation AX = B?
Answer:
The first one
Step-by-step explanation:
In this question, we are trying to find X, so can solve this by back-solving. multiply the choices by the A until they equal B. If you do it for the first one then you should gett B.
Answer:
Option D.
Step-by-step explanation:
edge test
The width of a rectangular room is 60% of its length. The length of the room is 10 feet. What is the area of the room?
The area of the room is blank square feet.
Answer:
60ft^2
Step-by-step explanation:
60% of 10 is 6 and LxW is 10x6 so the area is 60 feet
The amount of tomato sauce in an 8 oz. can of tomato sauce has a normal distribution with a mean of
8.15 oz. and a standard deviation of 0.07 oz. Which of the following is the 2-score for 7.90 oz.?
Answer:
The z-score for 7.90 oz. is -3.57
Step-by-step explanation:
Data
mean: 8.15 oz.standard deviation, sd: 0.07 oz.value of interest, x = 7.90 oz.From definition of z-score:
Z = (x - mean)/sd
Replacing with data:
Z = (7.9 - 8.15)/0.07
Z = -3.57
Suki paid the following amounts for her last six pairs of jeans before tax:
$44, $38, $45, $49, $125, $50
A) Mean
B) Mode
C) Median
Find the area of a right triangle with a base of 38 cm and height of 26 cm.
A) 128 cm2
B) 247 cm2
C) 324 cm2
D) 494 cm2
Answer:
494cm2
Step-by-step explanation:
Área = (base × height)/2
Área=(38×26)/2=988/2=494cm²
Jake created a cube for his math game using
numbers and letters. He rolled the number
cube 50 times. The cube landed on an even
number 30 times out of the 50 rolls. Based on
Jake's rolls, hon mater times should he
expect to land on an even number out of the
next 20 rolls?
Answer:
He should expect to land on it 12 times
Step-by-step explanation:
He got an even number 30 times out of 50 rolls. So that is 30/50 or 3/5, you then multiply 20 by 3/5 giving you 12
What are m<1 and m<2?
Answer:
m<2 is 66 and m<1 is 114
Step-by-step explanation:
add the given angles together, that is the outaide angle. then subtract that from 180 and you get angle 2
pls help me!! i will mark brainliest!
Answer:
35 deg
Step-by-step explanation:
1/2(100 - 30 deg) = 35
