Answer:
1, 4, 9, 16, 25
Step-by-step explanation:
The pattern increases by an odd number. It can be seen that;
n²
for the first pattern
1²=1
for the second pattern
2²=4
for the third pattern
3²=9
for the forth pattern
4²=16
for the fifth pattern
5²=25
Simplify as far as possible;
x²+ 3x²-4x²+5x
Answer:
5x
Step-by-step explanation:
[tex] {x}^{2} + {3x}^{2} - {4x}^{2} + 5x \\= 4 {x}^{2} - 4 {x}^{2} + 5x \\ = 5x[/tex]
please help, it is associated with angles. thank u ;)
Answer:
angle c is 63
Step-by-step explanation:
Angles in a triangle add up to 180 therefore
70+47+x=180
x=180-117
=63°
I hope this helps
Write an equation of a line perpendicular to y = -1/5x + 5
that passes through the point (-1,-3)
Select one:
a. y = 5x + 2
b.y = 2x - 5
c.y = -5x - 5
d. y = -5x + 2
The value of cube root of x^10, when x = -2, can be written in simplest form as a^3 times the square root of b, where a = _____ and b = ______.
Answer:
[tex]a = 2[/tex]
[tex]b = 2^{1/6}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]
[tex]x = -2[/tex]
Required
Find a and b
We have:
[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]
Substitute -2 for x
[tex]\sqrt[3]{(-2)^{10}} = a^3 * \sqrt b[/tex]
[tex]\sqrt[3]{1024} = a^3 * \sqrt b[/tex]
Expand
[tex]\sqrt[3]{2^9 * 2} = a^3 * \sqrt b[/tex]
Split the exponents
[tex]2^{(9/3)} * 2^{(1/3)} = a^3 * \sqrt b[/tex]
[tex]2^{3} * 2^{1/3} = a^3 * \sqrt b[/tex]
By comparison:
[tex]a^3 = 2^3[/tex]
So;
[tex]a = 2[/tex]
and
[tex]\sqrt b = 2^{1/3}[/tex]
Take square roots of both sides
[tex]b = 2^{1/6}[/tex]
Answer: -8, -2
Step-by-step explanation: (the previous answers are ) 1. D 2. C 3. -8,-2 (for reference of order :))
Guys Help me
Does (4, 7) make the equation y = 2x + 7 true?
Answer:
false
Step-by-step explanation:
x=4andy=7
2×4+7 isnot equal to 7
Answer:
Tue equation is
y=2x+7
So, the answer is
(2,7)
And (4,7) is wrong
What is the value of f ^-1 (0)? ( photo given )
PLEASE HELP ME, I would greatly appreciate it !!!
Answer:
[tex] {f}^{ - 1}(0) = 6[/tex]
Step-by-step explanation:
When trying to solve for inverses, we are given a y value in place of an x value. Thus we are solving for the x value which the given y value corresponds to.
Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y=-x-1
y= x+3
A. (0,3)
B. (-2,1)
C. (-1,2)
O D. (0, -1)
SOMEONE HELP ME PLEASE
Decide if the following scenario involves a permutation or combination. Then find the number of possibilities.
You are setting the combination on a five-digit lock. You want to use the numbers 12345 but you don't care what order they are in.
Answer:
It's a combination, BUT...
Step-by-step explanation:
Definition: A combination is a grouping of outcomes in which the order does not matter. That's the difference between combination and permutation.
Combination Formula: nCr = (n!)/[r!(n-r)!)] where n stands for number of things and r the pair chosen
Applied to this case: We have n=5 (12345) and r=5 for the 5-digit lock combination.
5C5 = (5!)/[5!(5-5)] = 1
But!! As you can see, we cannot have 1 possible combinations so.. We have to assume that this is a permutation!!! Conceptually, this looks pretty much like a combination, but being the same range as number of items, we conclude that it's a permutation.
Permutation Formula: nPr = (n!)/(n-r)!
nPr = (5!)/(5-5)! = 120
Well, this looks way more accurate now, right?
Final Answer: The scenario involves a permutation, and there's 120 possible combinations of those 5 numbers in a 5-digit lock.
Mr. Matthew was testing the only popularity of us custom-made belts and wallets that are marked differently some items were sold prior to the online launch date
Complete question is;
Mr. Matthew is testing the online popularity of his custom made belts and wallets that were marketed differently. Some items were sold prior to the online launch date.
The equation below represents the number of belts sold, s, x days after its online launch. S = 3^(x)
The equation below represents the number of wallets sold, s, x days after its online launch. S = 4x + 15
Using graphing technology, complete the statements. After ___ days, the total number of belts sold will be the same as the total number of wallets sold. The number of belts and the number of wallets Mr. Matthew sold after this many days is ___
Answer:
Number of days = 3 days
Total belts and wallets after 3 days = 54
Step-by-step explanation:
We are told that the number of belts sold, s, x days after its online launch. S = 3^(x)
Also, we are told that the number of wallets sold, s, x days after its online launch. S = 4x + 15
Now, we want to find the Number of days that total number of belts sold will be the same as the total number of wallets sold using graphing technology.
The number of days will simply be the value of x where the two graphs meet.
I have drawn the graph of both equations.
From the attached graph, we can see that the x-value at where the both graph lines meet is approximately 3. I didn't take the negative solution because number of days cannot be negative.
Thus, x = 3
Putting x = 3 in;
S = 3^(x)
S = 3^(3)
S = 27
Similarly, Putting x = 3 in;
S = 4x + 15
We have;
S = 4(3) + 15
S = 12 + 15
S = 27
Thus,total number of belts and wallets sold after 3 days = 27 + 27 = 54
Two traffic lights both turn green at 1:20 pm. One light is on a 72-second 0cycle from green back to green while the other light is on a 1-minute cycle. After how many minutes will they again turn green together?
Answer:
32
Step-by-step explanation:
Answer:
6 minutes
Step-by-step explanation:
1 minute = 60 seconds
LCM of 60 and 72 = 360
360 seconds = 6 minutes
mathematics question
Answer:
it's option B the second one
4(x-3)+5x-x^2 for x=3
Answer:
6
Step-by-step explanation
Answer:
6
Step-by-step explanation:
plug in the 3
4(3-3)+5(3)-3^2
4(0)+15-9
0+15-9
15-9
6
James brought a dress & t-shirt for $85 and it is 5 times as much as t-shirt how much did James pay for the t-shirt.
Answer:
$17
Step-by-step explanation:
You reverse the operation, and you do 85 divided by 5, which is 17. Have an amazing day!!
How many different numbers are possible?
A personal identification number consists of 3 letters followed by 3 digits. The letters X, Y, and Z are not used and the last digit cannot be 0 or 9.
Each of the first 3 letters can be chosen from the 23 letters, {A, B, C, …, U, V, W}, so there are 23³ possible choices.
The first 2 digits can be any number from {0, 1, 2, …, 9}, so there are 10² choices.
The last digit cannot be 0 or 9, so you can select from {1, 2, 3, …, 8} which gives 8 choices.
Then the total number of PINs that you can make is
23³ × 10² × 8 = 9,733,600
There are 8.54 grams of sugar in 7 servings of grapes. How many grams of sugar are in a single serving of grapes?
Answer:
1.22
Step-by-step explanation:
divide 8.54 by 7 to get one serving
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle? 7 in. 8 in. 9 in. q 10 in.
Answer:
B) 8in
Step-by-step explanation:
PLEASE HELPP URGENT
20 points!!!
Please help me out . Find x please
Answer:
on my screen I cant see anything sorry!
Step-by-step explanation:
the verticies of the triangle OAB are the origin O, A(-15,0) and B(0,8)
What is the relationship between G and the triangle OAB
G(-7.5,4)
Answer:
G is the midpoint of the side [tex]\overline {AB}[/tex] of triangle ΔOAB
Step-by-step explanation:
The vertices of the triangle ΔOAB are A(-15, 0), B(0, 8), and C(0, 0)
The coordinates of the point G = (-7.5, 4)
The length from the point A to the point G, [tex]\overline {AG}[/tex] is given as follows;
[tex]\overline {AG} =\sqrt{(-7.5 - (-15))^2 + (4 - 0)^2} = \sqrt{7.5^2 + 4^2} = 8.5[/tex]
The length from the point A to the point B, [tex]\overline {AB}[/tex] is given as follows;
[tex]\overline {AB} =\sqrt{(-15 - 0)^2 + (8 - 0)^2} = \sqrt{15^2 + 8^2} = 17[/tex]
Therefore, the point G is the half way mark of [tex]\overline {AB}[/tex] = The midpoint of the side [tex]\overline {AB}[/tex]
a bag contains 10 white balls and 14 red balls.a ball is taken out of the bag,what is the probability that it is a red ball
Answer:
7/12
Step-by-step explanation:
Total = 10W+14R
probability of red = R/total
10+14 = 24 so total = 24
R = 14
14/24
reduce (divide by two on the top and bottom)
14/2
-------
24/2
= 7/12
Please help urgent!!! Find the value of x in the triangle shown below!
Answer:
Step-by-step explanation:
so we know a few things about t his triangle, it's a special one :P , it's called isosceles because two of the legs are the same length, which also mean that the angle x is the same at the other unknown angle sooo there are 2 x's if that makes sense? and then we can solve this , b/c we also know that the interior angles of a triangle add up to 180°
180 = 32 + 2x
148 = 2x
74 =x
∠x = 74°
whats the area of this shape
Answer:
54 or 57 (read explanation below)
Step-by-step explanation:
There is a mistake in the problem.
The bottom base has length 10 not 11.
Using the correct length of 10, the area is:
A = (1/2)h(b1 + b2)
A = (1/2)(6)(10 + 8)
A = 3(18)
A = 58
Using the incorrect length of 11, the area is:
A = (1/2)h(b1 + b2)
A = (1/2)(6)(11 + 8)
A = 3(19)
A = 57
y = 5x + 9 (-2, -3) pls help me
Answer:
Not a solution.
Step-by-step explanation:
y = 5x + 9
-3 = 5(-2) + 9
-3 = -10 + 9
-3 ≠ -1
The point given is not on the line. It is NOT a solution to the equation.
Hope this helps.
!!Plz urgent help!!
this triangular prism can contain that holds beads that are spherical and each 0.525 cm. How many
beads can fit inside this container?
Will mark brainliest
Answer:
890 beads can be fitted in the triangular prism.
Step-by-step explanation:
If we can fill the spherical beads completely in the triangular prism,
Volume of the triangular prism = Volume of the spherical beads
Volume of triangular prism = Area of the triangular base × Height
From the picture attached,
Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(AB)(BC)[/tex]
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
(13)² = 5² + BC²
169 = 25 + BC²
BC² = 144
BC = 12
Area of the triangular base = [tex]\frac{1}{2}(5)(12)[/tex]
= 30 cm²
Height of the triangular prism = 18 cm
Volume of the triangular prism = 30 × 18
= 540 cm³
Volume of one spherical bead = [tex]\frac{4}{3}\pi r^{3}[/tex]
= [tex]\frac{4}{3}\pi (0.525)^{3}[/tex]
= 0.606 cm³
Let there are 'n' beads in the triangular prism,
Volume of 'n' beads = Volume of the prism
540 = 0.606n
n = 890.90
n ≈ 890
Therefore, 890 beads can be fitted in the triangular prism.
Please help ASAP!!!! What is the length of BC?
Answer:
x=24
Step-by-step explanation:
Answer:
BC = 24
Step-by-step explanation:
Since ∠ B and ∠ C are congruent the the triangle is isosceles with
AC = AB , that is
3x - 15 = x + 33 ( subtract x from both sides )
2x - 15 = 33 ( add 15 to both sides )
2x = 48 ( divide both sides by 2 )
x = 24
Then
BC = x = 24
The table below shows some inputs and outputs of the invertible function f with domain all real numbers.
PLEASE HELP ME!!!!! ( photo given )
Answer:
-6, 0
Step-by-step explanation:
since the first question is a inverse function, the -15 isn't an x value anymore so it is a y.
the second question is the same thing for the 4 because it is an inverse function. so that would be -11, and the function of 9 you would look at the x value of 9 and find the corresponding y, which 11. so -11+11 =0
How do I find the low value of a box plot
The far left of the chart is the minimum(low) value of the box plot.
Answered by Gauthmath must click thanks and mark brainliest
yes or no? please help
Answer:
yes
Step-by-step explanation:
....
The ratio between the distances of two cities from a third city is 7:8. If the total distance is 150 km, what are the distances of the two cities from the third one?
Answer:
70km and 80km
The option you chose is correct
Answer:
70 km and 80 km.
First city:
[tex]{ \tt{ = \frac{7}{15} \times 150 }} \\ = 70 \: km[/tex]
Second city:
[tex]{ \tt{ = \frac{8}{15} \times 150}} \\ = 80 \: km[/tex]
Solve the following quadratic function
by utilizing the square root method.
y = 100 – x2
Answer:
x = ± 10
Step-by-step explanation:
To solve the equation let y = 0 , that is
0 = 100 - x²( add x² to both sides )
x² = 100 (I take the square root of both sides )
x = ± [tex]\sqrt{100}[/tex] = ± 10
Then solution is x = - 10, x = 10
Answer:
10
Step-by-step explanation:
the guy on top put -10 he's right but it's just 10
