x = 9-5^(3/2)*i or x = 5^(3/2)*i+9
ok done. Thank to me :>
22 - (+12) - (-4) + (-6)
Answer:
8
Step-by-step explanation:
+- = --- = ++- = -++ = +22-12+4-6 = 8
Auto replacement insurance covers the full cost of auto repairs or the cost of a new vehicle.
T or F
Answer: True
Step-by-step explanation:
Please help again please and thank you :)
Answer:
B)154
Step-by-step explanation:
98:7=x:11
x=154
Santa needs 600 toys. 175 toys have already
been made. 5 elves made the rest of the toys.
How many toys did each elf make, assuming
that they each made they amount?
Answer:
Each elf made 85 toys
Step-by-step explanation:
First we must find out how many more toys need to be made. To do this we just have to subtract 175 from 600. 600 - 175 = 425.
Next we have to divide 425 toys by the 5 elves. 425 divided by 5 is 85.
Write the equation of the line, in slope-intercept form, with the
following information:
slope:
3
point: (6,-1)
Answer:
y=3x-19
Step-by-step explanation:
y-y1=m(x-x1)
y-(-1)=3(x-6)
y+1=3(x-6)
y=3x-18-1
y=3x-19
What us y+3=-2 (6x-1)
Answer:
y=-12x-1
Step-by-step explanation:
can you please help me find X in this problem it is so confusing
Answer:
x = 25°
Step-by-step explanation:
There are different ways to get there.
1.The unmarked angle at bottom left is an alternate interior angle with the one at the top marked 50°. So, it is congruent to 50°.
That makes the angles along the line at the bottom be ...
50° +x° +105° = 180° . . . . . the measure of a linear angle
x° = 180° -155° = 25°
__
2.The unmarked angle at top right is a same-side interior angle relative to the one at bottom marked 105°. As such it is supplementary to 105°, and has measure ...
180° -105° = 75°
This angle (upper right) is an exterior angle to the triangle. As such, it is equal to the sum of the two "remote" interior angles of the triangle—the ones marked 50° and x°.
75° = 50° +x°
25° = x° . . . . . . . subtract 50°
__
3.The unmarked interior angle of the triangle is an alternate interior angle with the one marked 105°. So, it is congruent to 105°. The sum of the triangle interior angles is 180°, so you have ...
x° +50° +105° = 180°
x = 180° -155° = 25° . . . . as we had with our first approach
Jason was given a triangle that had a side length of 10m and a hypotenuse of
15m. When he substituted these values into the Pythagorean Theorem, he got 102 + 152 = c2
.
Part A. Find Jason’s mistake and explain it.
Part B. Solve for the missing length, show your mathematical thinking, and justify your answer.
Answer:
The pythagorean theorem is:
H = [tex]\sqrt{s_1^2 + s_2^2}[/tex]
With H being the hypotenuse, s1 one side, s2 the other one. He already has a side and the hypotenuse so he has to calculate the inverse formula:
s2 = [tex]\sqrt{H^2 - s_1^2}[/tex]
So the real side will be:
square root of (15^2 - 10^2) = square root of (225 - 100) = 125 m
Jason made a mistake calculating the squares of the hypotenuse and the side, he didn't subtract and didn't take the root of the result.
Find the polynomial function in standard form that has the zeros listed. 1(multiplicity 2), -2(multiplicity 3)
Answer:
f(x) = x⁵ +4x⁴ +x³ -10x² -4x+8
Step-by-step explanation:
If p is a zero, then (x -p) is a factor. The multiplicity of the zero tells you how many times that is a factor (its exponent).
f(x) = (x -1)²(x +2)³ = (x² -2x +1)(x³ +6x² +12x +8)
f(x) = x⁵ +4x⁴ +x³ -10x² -4x+8
_____
Additional comment
You can use the distributive property to write out the 12 terms of the product of the two expanded factors, or you can do a little mental arithmetic based on what you know about the exponent of a product term. (It is the sum of the exponents of its factors.)
The mental exercise can be made easier by writing the coefficients of the factors as though they were two cubics. It works well to write them in two rows:
[tex]\left[\begin{array}{cccc}0&1&-2&1\\1&6&12&8\end{array}\right][/tex]
The columns are in order of decreasing powers of x. A relatively simple and symmetrical pattern of sums of cross products is used to find the coefficients of the final polynomial. Working in order of decreasing exponents, we have ...
coefficient of x^6 = (0)(1) = 0
coefficient of x^5 = (0)(6) +(1)(1) = 1
coefficient of x^4 = (0)(12) +(1)(-2) +(1)(6) = 4
coefficient of x^3 = (0)(8) +(1)(1) +(1)(12) +(6)(-2) = 1
coefficient of x^2 = (1)(8) +(6)(1) +(-2)(12) = -10
coefficient of x^1 = (-2)(8) +(12)(1) = -4
coefficient of x^0 = (1)(8) = 8
X^2-y^2=48 and x-y=2. The solution to the given system of equations is (x,y). What is the value of x + y?
Answer:
24
Step-by-step explanation:
We have a system of equations, so we can start with the second equation:
[tex]x-y=2[/tex]
And move y to the other side to isolate x:
[tex]x=2+y[/tex]
Now we can replace x into the first equation:
[tex](2+y)^{2} -y^{2} =48\\ (2+y)(2+y)-y^{2} =48\\ 4+4y+y^{2} -y^{2} =48[/tex]
Notice that we can cancel out the y squared terms:
[tex]4+4y=48\\ 4y=44\\ y=11[/tex]
Now we just need to find x by replacing y into the second equation:
[tex]x-11=2\\ x=13[/tex]
And finally, add them:
[tex]x+y=11+13\\ x+y=24[/tex]
Hope this helps.
Answer:
x= 13
y=11
x^2 - y^2 = 48 and x - y = 2
x = 2 + y
(2 + y)^2 - y^2 = 48
(2 + y) (2 + y) - y^2 = 4
(4 + 2y +2y + y^2) -y^2 = 48
4 + 4y + y^2 - y^2 = 48
4 + 4y = 48
4y = 48 -4
4y = 44
y= 44/4
y= 11
Plug y back into the original equation:
x^2 - y^2 = 48
x^2 - 11^2 = 48
x^2 - 121 = 48
x^2 = 121 + 48
x^2 = 169
The square root of 169 is 13
So x= 13
x + y
13 + 11 = 24
Help please.. DuE Today. No LiNkS!!
Thanks! 8th Grade Mathh
No.2
Answer:
[tex]\text{(C).} ~~y=-2x+3[/tex]
Step-by-step explanation:
Find the 82nd term of the arithmetic sequence —8, 9, 26, ...
Joseph earns a salary of $40 per day working at a pizza
restaurant. He earns an additional $3 for every delivery he makes.
Which function represents the amount of money, y, Joseph will earn in one day if he makes x deliveries?
A y = 3x + 40
B y = 3x - 40
C y = 40x + 3
Answer:
C
Step-by-step explanation:
40x + 3
Answer:
A y = 3x + 40
Step-by-step explanation:
He is paid $40 every day to you would add that number to the equation, then every time he makes a delivery, he makes an additional $3.
So, to find the amount of money he would make in one day your equation should look something like this
y = 3x + 40
y being that amount of money he makes in one day
3 being that amount of money he receives for every delivery
x being the number of deliveries he makes in one day
40 being that amount of money he makes in one day.
_________________________________________________________
Hope this helps!!
Please tell me if I have made a mistake; I enjoy learning from them:)
Consider the function f (x) = -2/3x +5.
What is f (5/2)?
Enter your answer, as a simplified fraction, in the box.
f (5/2)
Answer: 2.5
Step-by-step explanation:
How many different types of triangles are there?
Draw and name the 4 different triangles.
Write the properties of each triangle.
Draw a circle and name the different parts of the circle.
Find the relationship between radius and diameter.
NO SPAM!
Answer:
Explanation :How many different types of triangles are there?
There are 6 types of triangles.
➝ Scalene Triangle➝ Isosceles Triangle➝ Equilateral Triangle➝ Acute Triangle➝ Obtuse Triangle➝ Right Triangle[tex]\begin{gathered}\end{gathered}[/tex]
Draw and name the 4 different triangles.
[tex]\green\implies[/tex] The diagram of 4 different triangles is in the given pic. So, please check out the attachment.
The name of four triangles are :
➝ Right angled triangle ➝ Isosceles triangle ➝ Equilateral triangle ➝ Scalene triangle[tex]\begin{gathered}\end{gathered}[/tex]
Write the properties of each triangle.
1. Acute-angled Triangle
[tex]\pink\implies[/tex] Each of the angles is below 90⁰, and the sum of those angles is always 180⁰.
2. Right-angled Triangle
[tex]\pink\implies[/tex] One side being 90⁰, the other angles have to be acute. It is because the addition of all internal angles always produce 180⁰.
3. Obtuse-angled Triangle
[tex]\pink\implies[/tex] Naturally, the other two angles have to be smaller than an obtuse angle. It is so that the internal sum of all the angles remains 180⁰.
4. Equilateral Triangle
[tex]\pink\implies[/tex] Since the internal angles add up to 180⁰, each angle has to be equal in an equilateral triangle. In this case, each angle of this triangle is 60⁰.
5. Isosceles Triangle
[tex]\pink\implies[/tex] Since two sides have the same length, the third side has to have a different length. On top of that, the angle of the other side is also dissimilar to the previous angles.
6. Scalene Triangle
[tex]\pink\implies[/tex] In this case, the lengths of the three sides are diverse. However, the sum of dissimilar internal angles also has to be 180⁰.
[tex]\begin{gathered}\end{gathered}[/tex]
Draw a circle and name the different parts of the circle.
[tex]\green\implies[/tex] The diagram of circle is in the given pic. So, please check out the attachment.
Parts of circle :
A circle can have different parts and based on the position and shape, these can be named as follows:
➝ Centre➝ Radius➝ Diameter➝ Circumference➝ Tangent➝ Secant➝ Chord ➝ Arc➝ Segment➝ Sector[tex]\begin{gathered}\end{gathered}[/tex]
Find the relationship between radius and diameter.
[tex]\pink\implies[/tex] The relationship between radius and diameter is the diameter of a circle is twice of its radius.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
Adam is working out the highest common factor of 100 and 112 He has worked it out to be 22. Can you explain what he has done wrong?
Answer:
130
Step-by-step explanation:
correct me if im wrong
tnx
love ya
Answer:
Adam has found highest common factor as 22 because he didn't multiply 2×2 as 4 but he directly written 2×2 as 22
Step-by-step explanation:
100=10×10
=2×5×2×5
=2×2×5×5
112=4×28
=4×4×7
=2×2×2×2×7
so highest common factor = 2×2 =4
6x6x6x8x8x8
write the following using index form
ps. I wrote 6^3 X 8^3 and it wasn't right.....where did i go wrong??
Answer:
Step-by-step explanation:
Maybe without the x or use a * instead, like:
6^38^3
or 6^3*8^3
Or maybe read the question again because your answer should be right, if not contact the administrator of the website because sometimes bugs like that can happen.
please help me What is the mode of the data shown in this stem-and-leaf plot?
Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21
Enter your answer as a number, like this: 42 and explain your answer
Explanation:
The mode corresponds directly to the most frequent leaf, ie the leaf that shows up the most. This is because the mode itself is the most frequent value of a list of numbers. Be sure to keep the rows separate. The leaf "5" shows up twice, but it's for two different stems. The leaf "7" is a similar story.
In row two, we have the leaf "4" show up three times which is the most of any leaf for any given stem. Tie that leaf to the stem 2 and we get the value 24.
The mode is 24.
cos(x+2)=sin(3x). Need done for a test please help.
(I need these answered asap and with work and explanation included)
Answer:
blue marbles - 2/9. red marbles - 3/9 = 1/3 clear marbles - 4/9. Davis got a 2/9 chance and Tessa got a 2/8 or 1/4 chance. I don't know about the last question. it might be 5/9 but I don't know sorry.
2. What are all possible names for line b?
Answer:
di ako sure pero ito :)
Step-by-step explanation:
A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.
A segment is named by its two endpoints, for example, AB¯¯¯¯¯ .
NEED HELP Express Four-fifths as a percent!
Answer:
80%
Step-by-step explanation:
4/5 = 80/100 = 80%
or
4 divided by 5 = 0.8
0.8 x 100 = 80
Answer:
80%
Step-by-step explanation:
4÷5 = 0.8 = 80%
.
.
. .
.
.........
A regular polygon has 15 sides find the size of each of its interior angles
Answer:
156°
Step-by-step explanation:
A regular polygon has 15 sides find the size of each of its interior angles
Pentadecagon
The formula for calculating the sum of interior angles is ( n − 2 ) × 180° where is the number of sides. All the interior angles in a regular polygon are equal.
find the sum of the interior angles(15 - 2) × 180 =
13 × 180 =
2340
we divide by the number of sides2340 : 15 =
156° is your answer
Elena received a $30 gift for her birthday. She plans to use it to buy one or more books. Elena will have to pay 8% sales tax on the books and $1.50 bus fare to get to and from the shopping center. If c = the amount in dollars Elena spends on books, this situation can be represented by the inequality below.
1.08c + 1.5 ≤ 30
The cost of book has to be less than or equal to 26.39.
The amount of money Elena can buy has to be less than or equal to $30. Thus, the inequality sign to be used is the less than or equal to sign.
(1 + tax)cost of books + cost of bus fare ≤ value of the gift
1.08c + 1.5 ≤ 30
In order to determine the maximum cost of books, take the following steps:
Combine similar terms
1.08c ≤ 30 - 1.5
Add similar terms together
1.08c ≤ 28.50
Divide both sides of the equation by 1.08
c ≤ 28.50 / 1.08
c ≤ 26.39
To learn more about taxes, please check: https://brainly.com/question/25311567
(If someone is online)pls help me to answer this question
Answer:
The correct answer is yes.
Step-by-step explanation:
I can help you. What do you need? :)
How many solutions?
No solution
One Solution
Infinitely Many Solutions
Answer:
no solution
Step-by-step explanation:
solution would occur where the lines intersect; parallel lines will never intersect
Which condition in the figure below will prove l || m?
Answer:
m<2 + m<3 = 180°
Step-by-step explanation:
Lines intersected by a transversal are parallel if same-side interior angles are supplementary.
Answer: m<2 + m<3 = 180°
write the inequality this number line represents "14-15-16-17-18-19-20-21-22-23-24"
PLEASE HELP!!
Answer:
x≤19
Step-by-step explanation:
because its everything to the left of 19 including 19
Answer:
Interval notation: (- ∞, 19]
Inequality notation: -∞ < x ≤ 19
Step-by-step explanation:
Given the inequality graphed on a number line, where there is a closed circle on 19:
A closed circle represents the endpoint as part of the solution. Moreover, the direction of the arrow on the number line points toward the left, which implies that all of the values that are less than or equal to 19 are included on the solution.
Therefore, the inequality represented on the number line is:
Interval notation: (- ∞, 19]
Inequality notation: -∞ < x ≤ 19
A group of fitness club members lose combined total of 28 kilograms in 1 week there are approximately 2.2 pounds in 1 kilogram assuming the weight loss happened at a constant rate about how many pounds did the group lose each day?
Answer:
8.8
Step-by-step explanation:
First turn 28 kilograms into pounds by multiplying 2.2 by 28. You end up with 61.6 pounds lost in one week. Next you take 61.6 divided by 7 to know how many pounds were lost in each day. You should end up with about 8.8 pounds.
Hope This Helps:)
Answer: 8.8
Step-by-step explanation:
Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 â€"" 22x2 â€"" 9x 33. Her work is shown. Step 1: (6x3 â€"" 22x2) â€"" (9x 33) Step 2: 2x2(3x â€"" 11) â€"" 3(3x 11) Marisol noticed that she does not have a common factor. Which accurately describes what Marisol should do next? Marisol should realize that her work shows that the polynomial is prime. Marisol should go back and group the terms in Step 1 as (6x3 â€"" 22x2) â€"" (9x â€"" 33). Marisol should go back and group the terms in Step 1 as (6x3 â€"" 22x2) (9x â€"" 33). Marisol should refactor the expression in Step 2 as 2x2(3x 11) â€"" 3(3x 11).
The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33) and it can be determined by using the factorization method.
Given that,Marisol grouped the terms and factored the GCF out of the groups of the polynomial [tex]\rm 6x^3- 22x^2- 9x + 33[/tex].
We have to find,To factor out the common GCF out of the group, the following steps should have been taken by Marisol.
According to the question,Marisol grouped the terms and factored the GCF out of the groups of the,
Polynomial; [tex]\rm 6x^3- 22x^2- 9x + 33[/tex].To factor out the common GCF out of the group, the following steps should have been taken by Marisol following all the steps given below.
Step1: Regroup into parts using parenthesis and taking the negative sign common,[tex]\rm= 6x^3- 22x^2- 9x + 33\\\\= (6x^3-22x^2) - (9x-33)[/tex]
Step2; Firstly find out the common terms and rewrite the equation,[tex]= (6x^3-22x^2) - (9x-33)\\\\= 2x^2(3x^2-11) -3(3x-11)\\\\= (2x^2-3) (3x-11)[/tex]
Hence, The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33).
For more details about Polynomial refer to the link given below.
https://brainly.com/question/25914835