Answer:
Step-by-step explanation:
-11+?=15
?=15+11
15+11= 26
So, -11+26=15.
?-(-3)= 5
?+3=5
?=5-3
?=2
So, 2-(-3)=5.
?+(-4)=7
?-4=7
?=7+4
?=11
So, 11+(-4)=7.
?+-8=3
?=3+8
?=11
So, 11+-8=3.
-2+?=1
?=1+2
?=3
So, -2+3=1.
?-12=-4
?=-4+12
?=8
So, 8-12=-4.
Solve the equation.
2x^2 = -128
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: 8i[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: 2 {x}^{2} = - 128[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: {x}^{2} = - \frac{ 128}{2} [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: {x}^{2} = - 64[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ - 64} [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: x = \sqrt{( - 1) \sdot(64)} [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ 64} \sdot \sqrt{ - 1} [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: x = 8 \sdot i[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: x = 8i[/tex]
[ i = iota, and i² = -1 ; (complex number) ]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:
[tex]x=8i[/tex]
Step-by-step explanation:
Given equation:
[tex]2x^2=-128[/tex]
Divide both sides of the equation by 2:
[tex]\implies \dfrac{2x^2}{2}=\dfrac{-128}{2}[/tex]
[tex]\implies x^2=-64[/tex]
Square root both sides:
[tex]\implies \sqrt{x^2}=\sqrt{-64}[/tex]
[tex]\implies x^2=\sqrt{-64}[/tex]
Rewrite -64 as 8² · -1:
[tex]\implies x=\sqrt{8^2 \cdot-1}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]
[tex]\implies x=\sqrt{8^2}\sqrt{-1}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:[/tex]
[tex]\implies x=8\sqrt{-1}[/tex]
[tex]\textsf{Since $\sqrt{-1}=i$}[/tex]
[tex]\implies x=8i[/tex]
Imaginary numbers
Since there is no real number that squares to produce -1, the number [tex]\sqrt{-1}[/tex] is called an imaginary number, and is represented using the letter i.
An imaginary number is written in the form [tex]bi[/tex], where [tex]b \in \mathbb{R}[/tex].
Evaluate these expressions.
Type the correct answer in each box.
6² =
8²=
15² =
Evaluate the expression if a = 2 , b = − 3 , c = − 4 , h = 6 , y = 4 , and z = − 1 . | a − 5 | − 1
The solution to the expression | a − 5 | − 1 is 2
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to evaluate the expression?The expression is given as
| a − 5 | − 1
Also, we have the values to be
a = 2 , b = − 3 , c = − 4 , h = 6 , y = 4 , and z = − 1
Substitute these values in the given equation
So, we have the following equation
| a − 5 | − 1 = | 2 − 5 | − 1
Evaluate the difference
So, we have the following equation
| a − 5 | − 1 = | −3 | − 1
This gives
| a − 5 | − 1 = 3 − 1
Evaluate the difference
| a − 5 | − 1 = 2
Hence, the value is 2
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Helena was curious if quadrilaterals QRSTQRSTQ, R, S, T and XYZWXYZWX, Y, Z, W were congruent, so she tried to map one figure onto the other using transformations:
Helena came to the right conclusion because the transition of quadrilaterals is accurately depicted.
Given,
Two quadrilaterals = QRST and XYZW
Helena came to the right conclusion because the transition of quadrilaterals is accurately depicted.
How should the facts be explained?
According to the information provided, Helena was interested to know whether the quadrilaterals were congruent.
The quadrilaterals in this instance cannot be mapped into one another via a series of stiff transformations, hence they are not congruent.
As a result, no mistakes are made.
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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
How do I solve for number 4 and 5?
Answer:
i cant really see the words
Step-by-step explanation:
Part 1
Tell whether the sequence is arithmetic. If it is, identify the common difference.
-1,4,9,14
Amy, Ravi, and Bob have a total of $127 in their wallets. Bob has 4 times what Ravi has. Ravi has $7 less than Amy. How much do they have in their wallets?
I ONLY HAVE A FEW MINUTES LEFT TO TURN THIS IN!!
If Amy, Ravi, and Bob have a total of $127 in their wallets. Bob has 4 times what Ravi has. Ravi has $7 less than Amy. The amount they have have in their wallets is : Army has $22.33, Ravi $89.33, Henry $15.33.
How to determine wallet amount?Let Army represent x dollars
Let Ravi represent 4x
Let Bob represent x - 7
Hence,
x + x - 7 + 4x = 127
Simplify by combining like terms
6x - 7 = 127
Add 7 to both sides of the equation leaving 6x
6x = 127+7
6x = 134
x =134/6
x = 22.33
x = Army has $22.33
Ravi
4x where x = 22.33
4(22.33) = 89.33
Bob
x - 7 where x = 22.33
22.33 -7 = 15.33
Prove :
Ravi + Bob + Henry = 127
= 22.33 +89.33 + 15.33 = 126.99 ≅127 (Approximately)
Therefore the have $22.23, $89.33 and 15.33 respectively.
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( 50 points ) Can some1 help me figure out these ???
Volume of boxes as per condition given:
a. Volume of fish food cube=(1/64) ft³
b. Volume of big box=(1/32)ft³
c. Volume of shipping box=(585/16) ft³
As given,
Dimensions of fish food cubes:
Length=1/4 ft
Width=1/4 ft
Height=1/4ft
a. Volume of fishing food cube=Length ×width ×height
=(1/4)×(1/4)×(1/4)
=(1/64)ft³
b. Volume of big box
=(Number of boxes) ×(volume of fishing food cubes)
=2×(1/64)
=(1/32)ft³
c. Dimensions of shipping box
Length=3ft
Width=3 3/4 ft
=15/4 ft
height=3 1/4 ft
=13/4 ft
Volume of shipping box=3 × (15/4) ×(13/4)
=(585/16) ft³
Therefore, volume of boxes as per condition given:
a. Volume of fish food cube=(1/64) ft³
b. Volume of big box=(1/32)ft³
c. Volume of shipping box=(585/16) ft³
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Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function.
[tex]f(x)=f(x)=\,\,-2(x-3)^2+5−2(x−3) 2 +5[/tex]
f(x) is maximum at x=3 and the maximum value of f(x) = 5.
The highest and smallest values of a function, respectively, can either be found inside a specific range or across the entire domain. They are sometimes referred to collectively as the function's extrema. The plural forms of the maximum and minimum functions are maxima and minima, respectively.
The given quadratic function is [tex]f(x) = -2 (x-3)^{2} +5[/tex]
Comparing it with [tex]f(x) = a (x-h)^{2} +k[/tex]
Here, a= -2, h =3 and k = 5.
Since a is negative, so parabola is open downward.
Therefore, the quadratic function has a maximum value.
Here, the vertex is (h,k) =(3,5)
Therefore, f(x) is maximum at x=3 and the maximum value of f(x) = 5.
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2(x+3)
2x+6
This is an example of the blank property.
4x-3
x=2
4(2)-3
The blank property is use here.
commutative property is an example of the blank property.
What in mathematics is a commutative property?
This law basically indicates that while adding and multiplying integers, you can rearrange the numbers in a problem without modifying the solution. Division and subtraction do not work commutative.What is a commutative property example?
Commutative characteristic of addition: The sum is unaffected by the arrangement of the addends. For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4, plus 2, equals 2, plus 4. 4 + 2 = 2 + 44. Changes to the order of the addends have no effect on the sum, because of the associative property of addition.2(x+3) = 2x+6
Commutative Property used in this function.
4x-3
put x=2
4(2)-3 = Commutative Property used in this function.
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Question 11
I just want the answer :)
The value of x is 4
The value of m ∠VUR = 126°
How to determine the valuesFrom the image shown, we have that;
A triangle is formedThe inscribed triangle is an equilateral triangleNote that all the sides of a equilateral triangle are equal.
Then, we have;
RV = SV = RSRV = 3x + 8SV = 6x - 4Now, equate the side lengths of the inscribed triangle, we have;
3x + 8 = 6x - 4
collect like terms
3x - 6x = -4 - 8
subtract the like terms
-3x = -12
Make 'x' the subject of formula
x = -12/-3
Find the quotient
x = 4
Note that m ∠VRS and m ∠VUR are on a straight line, we have;
m ∠VRS + m ∠VUR = 180
substitute the values
54° + m ∠VUR = 180
m ∠VUR = 180 - 54
m ∠VUR = 126°
Hence, the values are 4 and 126°
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the record high January temperature in Austin, Texas, is 90F. the record low January temperature is -2F. Find the difference between the high and low temperatures.
Answer:
92F
Step-by-step explanation:
the record high January temperature in Austin, Texas, is 90F. the record low January temperature is -2F. Find the difference between the high and low temperatures.
= 90 - (-2)
= 90 + 2
= 92F
HELP PLEASE!! due at 8pm tonight.
Answer:
y=-1/3x+5
Step-by-step explanation:
Use rise/run
its any of this greater than 7.03 7.031 7.030 7.003 7.0
7.031 is greater than 7.03.
The given value is having a 2-digit decimal place.
The options which are provided are:
1)7.031
2)7.030
3)7.003
4)7.0
Comparing the first decimal placeholder of each option with the question, all options have the same digit which is zero.
Comparing the second decimal placeholder of each option with the question, only option 1)7.031 and option 2)7.030 is having .03 the rest of the options, option 3)7.0003 and 4)7.0 have .00 has their second digit hence both option 7.0003 and 7.0 are smaller than 7.03.
Out of the remaining options, when options 1)7.03 and 2)7.031 are compared it can be seen that 7.031 is greater because the third decimal placeholder of 7.031 is 1 and 7.03 is 0 hence 7.031 is greater than 7.03.
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Use the graph on the right to locate points D, E, and G
5. Locate D so that ABCD is a rectangle.
6. Locate E so that ABCE is a trapezoid
7. Locate G so that ACBG is a parallelogram that is not a rectangle
The graph on the right to locate points D, E, and G is, 5.D(0, 3), 6. E(0, 2), 7. G(0, -3).
What is graph?
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
Here, for instance, we can plot a graph showing the type and quantity of school supplies used by pupils in a class based on the data provided below.
Rectangle: Rectangles have parallel opposite sides; therefore, D must be positioned such that CD is parallel to AB and AD is parallel to BC. This necessitates that point D be.
D(0, 3)
Trapezoid: A trapezoid has one set of parallel opposed sides. As a result, we must select point E such that either AE or CD are parallel to AB.
We have picked point E in the accompanying picture so that AE and BC are parallel.
E(0, 2)
Keep in mind that point E might be somewhere left of point C on line y=3 or above point A on line x=0. Point D and point E cannot be in the same place.
E(0, p) or E(q, 3) where p > 0, q < 8, and p≠3, q≠0
Parallelogram: The middle of each parallelogram is where its diagonals connect. As a result, the midway of AB and CG must coincide. We need to have... in order for that to occur.
A + B = C + G
G = A + B - C = (0, 0) +(8, 0) -(8, 3) = (0+8-8, 0+0-3) = (0, -3) (0, -3)
Point G is located where...
G(0, -3)
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results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. a random sample of 200 high school seniors from this city reveals that 162 plan to attend college. does this indicate that the percentage has increased from that of previous studies? test at the 5% level of significance. what is the p-value associated with your test of hypothesis?
The allegation that the proportion has increased from that of earlier studies is not supported by enough data.
What is Hypothesis test?Hypothesis test: A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters
Let p represent the population percentage.
Then, Null hypothesis : H₀:p=0.79
Alternative hypothesis : H₀:p>0.79
The hypothesis test is a right-tailed test because the alternative hypothesis is right-tailed.
Out of 200 high school seniors in this city, 162 intend to enroll in college, according to a random sampling.
Because n = 200 > 30 we must employ the z-test (otherwise we use t-test.)
p`=162/200=0.81
Population percentage test statistic:
[tex]z=(p`-p)/[/tex][tex]\sqrt{p`(1-p)/n[/tex]
[tex]z=(0.81-0.79)/\sqrt{0.81(1-0.81)/200}[/tex] =0.720984093915≈0.72
Consequently, the sample test statistic's z-value is 0.72.
Right-tailed test P-value:
[tex]p(z > 0.72)=1-p(\leq 0.72)[/tex]
≈[tex]1-0.7642375[/tex]
≈[tex]0.2357625[/tex]
≈[tex]0.2358[/tex]
We are unable to reject the null hypothesis since the p-value is higher than the threshold for significance (0.05).
Therefore, we draw the conclusion that the allegation that the proportion has increased from that of earlier studies is not supported by enough data.
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write each expression as the product of two factors h•3+6•3
Answer:
3(h + 6)
Step-by-step explanation:
Since we are starting with
h•3 + 6•3, try to see that there are two terms here h•3 and 6•3. In both of these terms is the factor 3. We can factor out the 3. This leaves behind (h + 6).
h•3 + 6•3
= 3(h + 6)
Its like "un-distributive" property. (this is not a technical term)
A square play area has an area of 5625m2. How long is each side
Answer:[tex]75m^{2}[/tex]
Step-by-step explanation: Just have to square root 5625m2 to get each side length
What is the difference in
elevation between 3 feet above
sea level and 20 feet below sea
level?
Answer:
23
Step-by-step explanation:
3-(-20)
c) Calculate the percentage his peanuts. 2. Sipho's aunt sells her business and the new owner is not prepared to supply Sipho with free packaging. He now has to buy the packets and pays R50 for 1 000 packets. a) Calculate what one packet costs him. b) If Sipho continues to sell the packets at R1 each, calculate the percentage profit that he will make on his peanuts. c) If Sipho wants to make the same profit on the peanuts as before, calculate what he should charge for a 100 g of peanuts. d) What practical problem do you foresee in the case of Question 2. c)? e) Describe how you would advise Sipho to price his peanuts. lu huving a product and selling it at a profit. (2)
According to the given problem,
(i) It is given that,
The cost price of 1000 packets of peanuts = Rs. 50
We need to find the cost price of 1 packet of peanut = [tex]\frac{50}{1000}[/tex] = Rs. 0.05
(ii) Selling price at which Sipho continues to sell 1 packet = Rs. 1
Then Selling price of 1000 packets = 1000 x 1 = Rs. 1000
Then Profit made by sipho = Selling Price - Cost Price
= 1000 - 50
= Rs.950
Profit percentage gained by Sipho = [tex]\frac{Profit}{Cost Price}[/tex] x 1000
= [tex]\frac{950}{50}[/tex] x 1000
= 1900 %
(iii) The profit earned by sipho remains same, we nee to find the cost price at which Sipho should sell 100gm of her peanuts is Rs. 1
(iv) I would advice Sipho to sell peanuts at a selling price more than the cost price in order to gain profit
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your balance is 89.75 and you deposit 156.90 and write a check for 34.79 and a withdrawal of 50.00 what is your new balance
what is 2 and 2 add together
2+2 a very complicated math question 2+2 = 6 because there's two 2's so that gives us an extra 2 so the actual question is "what is 2 + 2 + 2"
so the answer to your question is 6
What is an equation in point-slope
form of the line shown in the
graph, using the point (2, 2)?
8
6
4
2
OY
y
2
x^
X
Answer:
Step-by-step explanation:
Jan 15, 2020 — this line also pass through 0,8 and 2,2. slope is -3. the equation is y-2= -3(x-2). heart outlined. Thanks 10.
2 answers
·
10 votes:
Answer:this line also pass through 0,8 and 2,2. slope is -3. the equation is y-2= -3(x-2)
Missing: OY | Must include: OY
Select the correct answer.
Which expression is equivalent to the given expression?
(6n-5) (3n-³)²
A. 301
36
OB. 547.30
367.30
O A.
O c.
O D. 511
54
Answer:
[tex] \frac{54}{n {}^{11} } [/tex]
Step-by-step explanation:
[tex](3n {}^{ - 3} ) \times (3 {n}^{ - 3} )[/tex]
[tex]6 {n}^{ - 5} \times 9n {}^{ - 6} [/tex]
[tex]54 {n}^{ - 11} [/tex]
[tex] \frac{54}{n {}^{11} } [/tex]
HELP PLEASE DONT IGNORE
Answer:
Y=3/4x-2
Step-by-step explanation:
Atleast I think so
Answer:
y=3/4x-2
Step-by-step explanation:
y=mx+b
Y= 3/4x-2 because you rise 3 run 4 and the line crosses the y-axis at the point (0, -2)
A certain company's main source of income is selling cloth bracelets.
The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in
dollars) is modeled by:
P(x) = −2x² + 16x − 24
-
What bracelet price should the company set to earn this maximum profit?
The bracelet price on which company get its maximum profit is 8 thousand dollar
what is function?A rule or law that define an relationship between one variable to another variable
The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in dollars) is modeled by: P(x)=-2x^2+16x-24
To find maximum profit , we need to find out the vertex
x coordinate of vertex formula is -b/2a
P(x)= -2x^2 +16 x-24
a=-2 and b = 16
x= -b/2a= -16/2 x -2 = 4
Now we plug in 4 for x and find out P(4)
P (x) = -2 x (4)^2 + 16 x 4 - 24 = 8
So the maximum profit the company can earn is 8 thousand dollars when price = $4
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Assume AABC
ALMN. If AB = 41,
MN = 38, and LN = 25, what is the length
of AC?
1 Assume AFGH = APQR if FH = 3
QR = 4.5, what is the length of
FG:
, and
PQ
The missing lengths of the sides of the congruent triangles described are:
AC = 25 units.
PQ = 3 units.
What is the Side Lengths of Congruent Triangles?The corresponding side lengths of any two or more triangles that are congruent to each other are always equal in measure. That is, the three sides of one triangle have lengths that are equal to the corresponding three sides of the other triangle, if both triangles are congruent triangles.
We are told that triangles ABC and LMN are congruent to each other, therefore:
AB = LM = 41 units [corresponding sides]
AC = LN = 25 units [corresponding sides]
BC = MN = 38 units [corresponding sides].
Therefore, the length of AC is 25 units.
Also, it is assumed that triangles FGH and PQR are congruent triangles, therefore:
FG = PQ = 3 units [corresponding sides]
GH = QR = 4.5 units [corresponding sides]
Therefore, the length of PQ is 3 units.
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Determine the value of y in the inequality.
18 + 6y < 42
Answer:
y<4
Steps:
18 + 6y < 42
6y < 42 - 18
y < 24/6
y < 4
Answer:
y<4
Step-by-step explanation:
18+6y<42
Subtract 18 from both sides.
6y<42−18
Subtract 18 from 42 to get 24.
6y<24
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
[tex]y < \frac{24}{6} [/tex]
Divide 24 by 6 to get 4.
y<4
Question 17 of 25
What is the measure of BVD?
B
105⁰
V
D
A. 95°
B. 75°
C. 105°
D. 115°
C that's because the angles are vertically opposite