Answer:
-5 + 12 i
Step-by-step explanation:
(2 + 3i)^2 = 4 + 6i + 6i + 9i^2
= 4 + 12 i + 9(-1)
= - 5 + 12 i
HELPPPPP I NEED HELP ITS URGENT !
Answer:
-5=m
Step-by-step explanation:
-3/4m-1/2=2+1/4m
-2/4m-1/2=2
-2/4m=2 1/2
m=-5
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
How far would Pete walk if he went from A to B to C? yards
The direct distance from A to C is more than yards.
The inequality w < represents the distance, w, that Pete might save by taking the direct path.
The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.
Total distance if Pete walks from A to B to C:
= 15 + 25 = 40 yards
As we know in the triangle the sum of the two sides is greater than the third side.
25 + 15 > AC
The direct distance from A to C is more than 10(25-15) yards.
The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.
Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30
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Answer:
40 yards, 10 yards, and 30 yards.
Was correct for me on edge 2023
What are coefficients in the expression 2+6+10b-8a
[tex]\boldsymbol{Answer:}[/tex] 10 and -8 ✅
[tex]\boldsymbol{Step-by-step\;explanation:}[/tex]
Hii, do you need to know the co-efficients in the expression [tex]"\boldsymbol{2+6+10b-8a}"[/tex]? No problem! (:
What are Co-efficients?A "co-efficient" is a number that comes before a variable.
Here there are only two such numbers: "10" and "-8"; 10 comes before b, and -8 comes before a. 2 and 6 don't come before any variables at all, so they are not co-efficients.
Voila! There's our solution, cheers! (:
--
Hope that this helped! Best wishes.
[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.[/tex]
[tex]\bigstar\underbrace[/tex]
--
You spent 14 of your allowance on Monday. On Tuesday, you spent 13 of what was left. On Wednesday, you spent 12 of what remains. What fraction of your allowance do you have left? Choose the most reasonable answer.
PLEASE HELP ME WITH THIS
how to solved theses question (4.2×7)-10.4÷2²+2.9×3-6 explain
Answer:
29.5
Step-by-step explanation:
Use PEDMAS
P - Paraenthesis
E -Exponents
D - Divsion
M - Multiplication
A and S - Addition and subtraction respectively.
First multiply 4.2 and 7 as they are inside the parenthesis
Then find 2² which 4
(4.2 *7) - 10.4 *2² + 2.9*3 - 6 = 29.4 - 10.4 ÷2² + 2.9*3 - 6 {Parenthesis}
= 29.4 - 10.4÷4 + 2.9*3 - 6 {Exponents}
= 29.4 - 2.6 + 2.9*3 - 6 {Division}
= 29.4 - 2.6 + 8.7 - 6 {Multiplication}
= 29.5
Describe the solution of f(x) shown in the graph. a parabola opening up passing through 0 comma 2, 1 comma zero and 2 comma zero All real solutions All solutions that lie on f(x) All positive solutions All whole number solutions
A quadratic equation is in the form of ax²+bx+c. The correct option is C, All the positive solutions.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The graph of the question is given below. Since a quadratic equation has only two solutions, and this two solutions can be found by observing the graph. The coordinate at which the graph of the equation intersect the x-axis are the solution of the equation.
As it can be observed in this graph, that the graph intersect the x-axis at (1,0) and (2,0).Therefore, the solutions of the graph are 1 and 2.
Thus, both the solutions are positive or it can be concluded that all the solutions are positive.
Hence, the correct option is C, All the positive solutions.
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Answer:
B. All solutions that lie on f(x)
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
Please help if you can
20 poinnttsss !! help please
Janie writes a polynomial expression using only one variable, x, with degree 3. Max writes a polynomial expression using only one variable, x, with degree 7.
What can you determine about the degree of the sum of Janie’s and Max’s polynomials?
What can you determine about the degree of the difference of Janie’s and Max’s polynomials?
Answer:
The sum of the polynomials is a 7th degree polynomial.
The difference of the polynomials is a 7th degree polynomial.
Step-by-step explanation:
Janie's polynomial is a 3rd degree with only x terms. Maybe she wrote:
f(x) = x^3
or maybe she was fancy and wrote:
f(x) =
x^3 + 2x^2 - 7x + 4
could be anything really, but the biggest exponent is 3.
Then Max does like:
g(x) = x^7
or
g(x) = x^7-x^4-3x+2
Whatever he made up, but the biggest exponent is 7.
So if they add or subtract their two polynomials, there's no x^7 in Janie's to add with the x^7 in Max's. MAYBE Max put some x^3 or x^2 or x or constants that might combine with the terms in Janie's.
Either way, anything that Max put in his polynomial that is a bigger power than 3 (4th, 5th, 6th, or 7th power) is just going to end up in the sum or difference.
Please Someone help with this !!!
Answer:
[tex]45[/tex]
Step-by-step explanation:
[tex]\tan 45^{\circ} = \dfrac{\sin 45^{\circ}}{ \cos 45^{\circ} }\\\\\\~~~~~~~~~~=\dfrac{\sin 45^{\circ}}{\sin\left(90^{\circ} - 45^{\circ} \right)}\\\\\\~~~~~~~~~~=\dfrac{\sin 45^{\circ}}{\sin 45^{\circ}}\\\\\\~~~~~~~~~~=1[/tex]
Find the value of x
Answer:
11
Step-by-step explanation:
which of the following functions shown in the table below are exponential functions?
The functions shown in the table below are exponential functions, will be g(x) and k(x). Then the correct option are B and D.
The complete question is attached below.
What is an exponent?Let a is the base and x is the power of the exponent function and b is the y-intercept.
The exponent is given as
y = aˣ + b
Checking for g(x), then we have
g(x) = 5ˣ
Then the function g(x) satisfies all the condition.
Checking for k(x), then we have
k(x) = 4⁻ˣ
Then the function k(x) satisfies all the condition.
Then the correct option are B and D.
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$10,000 is invested at 7% annual interest which is compounded continuously what is the balance after eight years with no deposits or withdrawals are made
Answer:
$17,506.73
Step-by-step explanation:
Continuous Compounding Formula
[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]
where:
A = Final amountP = Principal amounte = Euler's number (constant)r = annual interest rate (in decimal form)t = time (in years)Given:
P = $10,000r = 7% = 0.07t = 8 yearsSubstitute the given values into the formula and solve for A:
[tex]\sf \implies A=10000e^{(0.07 \times 8)}[/tex]
[tex]\sf \implies A=10000e^{0.56}[/tex]
[tex]\implies \sf A=17506.725...[/tex]
Therefore, the value of the account after 8 years is $17,506.73 to the nearest cent.
Which expressions are equivalent to2 ( -6c+3) +4c
Answer:
-8c+6
Step-by-step explanation:
2(-6c+3)+4c = -12c+6+4c = -8c+6
Find the range of the data in the box plot below. \text{ cm} cmstart text, space, c, m, end text A horizontal boxplot titled Amount of rain in Vietnam cities, in centimeters, is plotted along a horizontal axis marked from 0 to 10, in increments of 0.5. A left whisker extends from 3.5 to 5.5. The box extends from 5.5 to 7 and is divided into 2 parts by a vertical line segment at 6. The right whisker extends from 7 to 7.5. All values estimated.
7978978
Step-by-step explanation:
Are of quadrilateral
Answer:
Area of Quadrilateral = 289.57 sq.cm
Step-by-step explanation:
First of all, let us understand what is a Quadrilateral?
A quadrilateral is a polygon with four sides. A quadrilateral is a closed two-dimensional figure formed by joining the four points among which three points are non-collinear points.
Given,
Length of sides :
AB = 7.5 cm
BC = 11.7 cm
CD = 15.6 cm
AD = 18 cm
and given , the Angle between BCD is 90 degrees and the angle between BAD is 90 degrees.
It implies that the TRAINGLES BCD and BAD are Right angled triangles
So, the length of BD can be found using Pythagorean theorem
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
From the Triangle of BCD,
a= BC
b=CD and
c= BD
Therefore, The length of BD =
c=[tex]\sqrt[2]{(11.7^{2})+(15.6 x^{2}) }[/tex]
c = [tex]\sqrt{380.25}[/tex]
c = 19.5 cm
Hence, c= BD=19.5 cm
Now, Area of Quadrilateral =
1/2*(diagonal)*(sum of height of two triangles)
Here, Diagonal = Length of BD = 19.5 cm
Height (h1) = BC = 11.7 cm
Height ( h2) = AD = 18 cm
Therefore, Area = 1/2*19.5*(11.7+18)
= 289.57 sq.cm
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can someone please help mee
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Domain : \fbox{-3}\leqslant x \leqslant \fbox{-1}[/tex]
[tex]\qquad \tt \rightarrow \:Range :\:\:\fbox{-4}\leqslant x \leqslant \fbox{-3}[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Domain = All possible values of x for which f(x) is defined
[ generally the extension of function in x - direction ]
Range = All possible values of f(x)
[ generally the extension of function in y - direction ]
[tex] \large\textsf{For the given graph : } [/tex]
[tex]\qquad \tt \rightarrow \: domain : \fbox{-3}\leqslant x \leqslant \fbox{-1}[/tex]
[tex]\qquad \tt \rightarrow \: range : \:\:\fbox{-4}\leqslant x \leqslant \fbox{-3}[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Choose the quadratic model for the situation.
d(v) =2.14v^/.039
d(v) =2.15v^/64.79
d(v) =2.15v^/25.116
Answer:
d(v) =2.15v^/25.116
Step-by-step explanation:
Answer:
first 1 is .39
second one is C
Step-by-step explanation:
If m/BAD = 22°,
what is X?
A
C
22⁰
B
D
Answer:
x = 136
Step-by-step explanation:
x = 180 - 22 - 22
= 136
3 photos are printed in 1 minute. How many minuted would it take to print 600 photos
Answer:200 minutes
Step-by-step explanation:
1 minute = 60 seconds.
6/3 = 2 (20 seconds) 1 photo every 20 seconds.
600x20 = 12000. seconds.
12000/60 = 200 (200 minutes)
Answer:
200 photos
Step-by-step explanation:
1 min = 3 photos
X min = 600 photos
therefore3 X = 600
X = 600/3
X = 200
Quadrilateral ABCD is translated 7 units down and 2 units to the right.
The length of side AB of the original quadrilateral is
units. After the translation, the length of side AB will
.
ABCD is a quadrilateral that has been translated 2 units to the right and 7 units down. The length of side AB will not change following the translation. Option C is correct.
What is translation?Each point in a figure is moved the same distance in the same direction using a sort of transformation known as translation.
The complete question is
"Quadrilateral ABCD has translated 7 units down and 2 units to the right.
The length of side AB of the original quadrilateral is_____ units. After the translation, the length of side AB will___________ .
2
3
3.5
4
----------------------------
Increase
Decrease
Remain the same"
Quadrilateral ABCD has translated 7 units down and 2 units to the right. After the translation, the length of side AB will remain the same.
Hence option C is correct.
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this is hard for me could smone help me ASAP please?
Answer:
x is 90°
y is 56°
Step-by-step explanation:
Concepts used :
The angle subtended by a diameter inside the circle is always 90° .
Sum of interior angles of a triangle is 180°.
Here x is the angle subtended by the diameter of the circle therefore ,
x is 90°.
let the end points of diameter as A , B
and the point where the it subtends the 90° angle be C
using interior angle property on the triangle ΔABC
90° + 62° + ∠A = 180°
152° + ∠A = 180°
∠A = 180° - 152°
∠A = 28°
now let he midpoint of diameter as D
as the sides DC and DA are radius of circle and therefore equal
so using isosceles triangle property which states that angle opposite to equal sides are equal
so the angle ∠ACD = 28°
now using exterior angle property on ΔADC
y = 56°
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A company makes 150 bags.
43 of the bags have buttons but no zips.
38 of the bags have zips but no buttons.
34 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
PLEASE ANSWER IN FRACTIONS
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
first ,let’s calculate the number of bags made by the company that have both buttons and zips :
150-(43+38+34)
=35
a bag that has buttons : either has buttons but no zips or has both buttons and zips
Then
The number of the bags that have buttons is :
43+35 = 78
………………………
Conclusion:
the probability that the bag has buttons is :
[tex]=\frac{75}{150} = \frac{1}{2}[/tex]
(Giving 80 points, Please do not answer if you don't know. The second and third answer are not 4 btw)
Point A is on the point −6 and Point B is on the point 0. Let's use the Ruler Postulate to find the length of AB¯¯¯.
AB=|a−b|
AB=|−6−0|
AB=|−6|
AB=6
The length of AB¯¯¯¯ is 6. We can also write this as AB=6 or mAB¯¯¯¯=6.
Find the Length of CD¯¯¯¯
Now, let's find the length of CD¯¯¯¯. Point C is on the point 4 and Point D is on the point 8.
CD=|c−d|
CD=|4−8|
CD=|−4|
CD=4
The length of CD¯¯¯ is 4. We can also write this as CD=4 or mCD¯¯¯=4
Your Turn
1. What is the length of BC¯¯¯? 4
2. What is the length of AC¯¯¯¯?
3. What is the length of AD¯¯¯¯?
Answer:
1. 4
2. 10
3. 14
Step-by-step explanation:
A = -6
B = 0
C = 4
D = 8
1. BC = |0 - 4| = 4
2. AC = |-6 - 4| = |-10| = 10
3. AD = |-6 - 8| = |-14| = 14
Answer:
1. BC = 4
2. AC = 10
3. AD = 14
Step-by-step explanation:
Ruler Postulate
The distance between any two points on a number line is their difference.
Question 1
Given:
Point B = 0Point C = 4Therefore, using the Ruler Postulate:
⇒ BC = |b - c|
⇒ BC = |0 - 4|
⇒ BC = |-4|
⇒ BC = 4
Question 2
Given:
Point A = -6Point C = 4Therefore, using the Ruler Postulate:
⇒ AC = |a - c|
⇒ AC = |-6 - 4|
⇒ AC = |-10|
⇒ AC = 10
Question 3
Given:
Point A = -6Point D = 8Therefore, using the Ruler Postulate:
⇒ AD = |a - d|
⇒ AD = |-6 - 8|
⇒ AD = |-14|
⇒ AD = 14
please help me with my math
Answer:
x=115⁰
z=27⁰
Step-by-step explanation:
65+x=180 -> Due to same side interior being equal to 180 degrees
x= 115
x = 3z + 34 -> opposite interior being equal
115 = 3z + 34
81 = 3z
divide by 3 on both sides
z=27
PLS When You Answer Type In The Number Of The Question With The Answer
The solution has a positive answer (True).
What is the solution to the arithmetic operators and fractions?
Arithmetic operators are those signs such as addition, subtraction, multiplication, and division that are used to solve mathematical expressions such as fractions and linear equations.
1.
The solution to the expression:
= (-1)(1)(-1)(-1)(1)(-1)(-1)(-1)(-1)(1)(-1)(1)
= 1
Thus, the solution has a positive answer(True)
2.
The solution to the improper fraction:
[tex]\mathbf{\dfrac{5}{7}+(-\dfrac{2}{7})= \dfrac{3}{7} }[/tex]
3.
= -52.31 -(-7.44)
= -52.31 + 7.44
= -44.87
= - 4487/100
4.
The solution to the improper fraction is:
[tex]\mathbf{\dfrac{3}{5}\div -\dfrac{6}{15}=-\dfrac{3}{2} }[/tex]
5.
The given equation is:
-(-6.6) (-20) = 132 which is incorrect.
The correct solution is:
-(-6.6) (-20) = -132
Eric's mistake is that he forgot to multiply by -1 first.
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How many students scored 5 marks?
Answer:
9
Step-by-step explanation:
2 + 1 + 4 + 3 + 5 + 7 + 4 + 2 + 2 + 1 + x = 40
x = 40 - (2 + 1 + 4 + 3 + 5 + 7 + 4 + 2 + 2 + 1)
x = 40 - (3 + 7 + 12 + 6 + 3)
x = 40 - (10 + 18 + 3)
x = 40 - 31
x = 9
Consider figures 1 and 2 shown on the coordinate plane. Figure 1 has been transformed to produce figure 2. Graph shows 2 quadrilaterals plotted on a coordinate plane. Quadrilateral 1 in quadrant 1 has vertices at (1, 3), (2, 5), (5, 5), (5, 3). Quadrilateral 2 in quadrant 4 has vertices at (1, minus 3), (5, minus 3), (5, minus 5), (2, minus 5). Describe the transformation. This transformation can be described by?
Using translation concepts, it is found that this transformation can be described as a reflection across the x-axis.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, considering the vertices of quadrilateral 1 and quadrilateral 2, the transformation from quadrilateral 1 to quadrilateral 2 has the following format:
(x,y) -> (x, -y).
Which means that it can be described as a reflection across the x-axis.
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Solve the inequality for x and identify the graph of its solution.
|x+ 2|>2
Answer:
A. x < -4 or x > 0Step-by-step explanation:
[tex]|x+2| > 2\iff x+2 > 2\ \vee\ x+2 < -2[/tex]
subtract 2 from both sides
[tex]x > 0\ \vee\ x < -4[/tex]
PLEASE HELP FAST!!! Write and solve an inequality or multiple inequalities to describe the possible values of x.
Options:
A. -4/7 < x < 14
B. x < 8/7
C. 0 < x < 14
An inequality that can be used to describe the possible values of x is; C. 0 < x < 14
How to calculate the angle in a triangle?
From the given image, let us first use sine rule to find the angles in the triangle with sides 12, 6 and 7 and angle 120°. Thus;
7/sin α = 12/sin 102
sin α = (7/12) * sin 102
sin α = 0.570586
α = sin⁻¹0.570586
α = 34.8°
We know that sum of angles in a triangle is 180°. Thus;
34.8° + 90° + (7x + 4) = 180°
124.8 + 7x + 4 = 180
7x = 180 - 128.4
x = 51.6/7
x = 7.37
Looking at the given options, x cannot be negative and that rules out the first option. x is greater than 8/7 and that rules out the second option but x is greater than 0 and less than 14 and so option C is correct.
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Match each logarithmic equation with its equivalent exponential equation. Drag the tiles to the correct boxes. Not all tiles will be used.
Answer:
Step-by-step explanation:
[tex]log_{b}a=c = > b^c=a\\ln(a) = > log_{e}a=c = > e^c=a\\log(a) = > log_{10}a=c = > 10^c=a[/tex]
[tex]log(1000) = 3 = > =10^3 =1000\\ log_{5}(25)=2 = > 5^2=25\\log_{12}144=x = > 12^x=144\\ln(12) =x = > e^x=12[/tex]
