The amount of RENT forgot to write is $ 50.
What is Transaction?
A transaction is a completed agreement between a buyer and a seller to exchange goods, services, or financial assets in return for money.
Here, Total expected amount = $ 900
Actual amount = $ 750
Deposit forgot = $ 100
Amount of RENT = 900 - (750 + 100)
= 900 - 850
= $ 50
Thus, The amount of RENT forgot to write is $ 50.
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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]
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:
Which expressions are equivalent to2 ( -6c+3) +4c
Answer:
-8c+6
Step-by-step explanation:
2(-6c+3)+4c = -12c+6+4c = -8c+6
Please help if you can
Pls answer fast
(√3 + √11)² + (√3 - √11)²
(√3 + √11)² + (√3 - √11)²
(a+b)² = a² + b² + 2ab ( a - b )² = a² + b² - 2abNow ,
(√3 + √11)² + (√3 - √11)²
(3 + 11 + 2√3√11)+ (3 +11 - 2√3√11)
14 + 2√33+ 14 - 2√33
14 + 14 = 28
Hence , The value of (√3 + √11)² + (√3 - √11)² is 28 .
Answer:
28
Step-by-step explanation:
(a + b)² + (a - b)² = 2a² + 2b²
(√3 + √11)² + (√3 - √11)²
= 2√3² + 2√11²
= 28
Which is the simplified form of x-12?
O 12
O
O
*12
12
17/7/22
Applying the negative exponent rule, the simplified form of [tex]x^{-12}[/tex] is: [tex]\frac{1}{x^{12}}[/tex].
What is the Negative Exponent Rule?The negative exponent rule states that, if [tex]x^{-a}[/tex] then, it can be rewritten as, [tex]\frac{1}{x^a}[/tex].
Given the expression, [tex]x^{-12}[/tex], we can apply the negative exponent rule to rewrite the expression in simplified form as:
[tex]\frac{1}{x^{12}}[/tex].
Therefore, expressing [tex]x^{-12}[/tex] in a simplified form will give us: [tex]\frac{1}{x^{12}}[/tex].
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Eugenia rolls a six-sided number cube. What is the probability that she gets a number greater than 4? A. 1/6 B. 1/3 C. 2/3 D. 5/6
The probability that she gets a number greater than 4 is 1/3
How to determine the probability?A six-sided number cube has the following properties:
Faces = 6
Numbers greater than 4 = 2
The probability that she gets a number greater than 4 is calculated as:
P = 2/6
Simplify
P =1/3
Hence, the probability that she gets a number greater than 4 is 1/3
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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
True or false: The factor by which a row operation changed the determinant is equal to the determinant of the elementary matrix corresponding to that row operation.
The given statement is false.
What is the effect of a row operation on a determinant?
The factor by which a row operation intends to change the determinant is not equal to the determinant of the elementary matrix corresponding to that row operation. Rather, when a row is scaled up by a factor in a matrix, the determinant of that matrix also scales up by that factor.
Similarly, the factor by which a row operation changes the determinant is equal to the factor times the determinant of the elementary matrix corresponding to that row operation.
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An adult male cheetah runs at a speed of 26 mph. That is 30% faster than his average last month. How fast did the male cheetah run last month?
Sadie makes 1.5 liters of iced tea. She pours of a liter into a pitcher to take to her neighbor. Her sister drinks of the remaining iced tea. How much tea does Sadie’s sister drink?
An expression is defined as a set of numbers, variables, and mathematical operations. The male cheetah's average speed for the last month is 20 mph.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
A.) Let the male cheetah's average speed for the last month be represented by x.
Given the male cheetah runs at a speed of 26 mph, that is 30% faster than his average last month.
x + 30% of x = 26 mph
1.30x = 26
x = 20 mph
Hence, the male cheetah's average speed for the last month is 20 mph.
B.) Sadie makes 1.5 liters of iced tea. She pours a liter into a pitcher to take to her neighbor. Her sister drinks the remaining iced tea. Therefore,
Iced tea Sadie's sister drink = 1.56 liters - 1 liter = 0.56 liter
Hence, the amount of tea Sadie’s sister drinks is 0.56 liters.
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Does this graph show a function? Explain how you know.
O A. No; the graph fails the vertical line test.
O B. Yes; there are no y-values that have more than one x-value.
• C. No; there are y-values that have more than one x-value.
O D. Yes; the graph passes the vertical line test.
Answer:
letter c
Step-by-step explanation:
YOUR LUCKY THAT THIS QUESTION IS IN MY LEARNING & PLEASE NEXT TIME PUT THE GRAPH THAT YOU ARE TALKING ABOUTKEEP ON LEARNINGare any of these answers correct?
Of all video game players, 1/8 are men over age 50 and 2/5 are women. what fraction represents men younger than 50 years old?
13/40 are men under 50
21/40 are men under 50
17/40 are men under 50
23/40 are men under 50
please helm me out!
Answer:
19/40
Step-by-step explanation:
⅛ over 50
⅖ women
5 x 8 = 40
8 x 2 = 16
1 x 5 = 5
16 + 5 = 21
40 - 21 = 19
19/40
Answer:
19/40 are men under 50
Step-by-step explanation:
Given:
2/5 of all video game players are women1/8 of all video game players are men[tex]\begin{aligned}\textsf{Men under 50 yrs old} & = \textsf{total proportion of men} - \textsf{proportion of men over 50}\\\\& = \left(1-\dfrac{2}{5}\right)-\dfrac{1}{8}\\\\& = \dfrac{3}{5}-\dfrac{1}{8}\\\\& = \dfrac{3 \cdot 8}{5 \cdot 8}-\dfrac{1 \cdot 5}{8 \cdot 5}\\\\& = \dfrac{24}{40}-\dfrac{5}{40}\\\\& = \dfrac{19}{40}\end{aligned}[/tex]
To check this, let's assign a number to the total number of players and use this to help us calculate the proportion of players who are men under 50 years old.
Let the total number of video game players be 400.
If 2/5 of all video game players are women, then the proportion of all video game players that are men is: 1 - 2/5 = 3/5
⇒ total number of men = 3/5 of 400 = 3/5 × 400 = 240
If 1/8 of all video game players are men over 50 years old then:
⇒ number of men over 50 yrs old = 1/8 × 400 = 50
Therefore:
⇒ number of men under 50 yrs old = 240 - 50 = 190
Finally, the fraction of men under 50 years old from all video game players is the number of men under 50 divided by the total number of men.
⇒ men under 50 years old = 190/400 = 19/40
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
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]
--
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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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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If m/BAD = 22°,
what is X?
A
C
22⁰
B
D
Answer:
x = 136
Step-by-step explanation:
x = 180 - 22 - 22
= 136
any
ete the equivalent ratio table.
D
B
(Equivalent Ratio
21
35
20 50
27
70
12:13
17:5
23
S
9
11
2
18
22
Answer:
????????????????????????????????????????/
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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Explain what happens when you have an exponent to the power of another exponent.
Answer:
The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56.
Step-by-step explanation:
A computer system is priced at $3200. A man buys
the computer system on hire purchase according
to the following terms: a down payment of $480
and the remaining to be paid in monthly
instalments over 2 years at a simple interest rate of
9.5% per annum.
(i) Find his monthly instalment.
(ii) Find the total amount the man pays for the
computer system.
(iii) How much more does he have to pay
for
buying the computer system on hire purchase?
dollar
(i) Monthly installment is $21.53 approximately.
(ii) Total amount man has to pay is $3716.8
(iii) Extra money he had to pay for buying the computer on hire is $516.8
Given,
Initial price of the computer(p) = $3200
Down payment = $480
Time period = 2 yrs
rate percent = 9.5%
(i) Monthly installment = ?
monthly installment =(capital amount × interest rate)/time in months
down payment to be paid = 3200 ₋ 480
= 2720
therefore, monthly payment = 2720 × 9.5 × 1/ 12
= $21.53
(ii) Total amount man has to pay = ?
= down payment ₊ remaining amount ₊ (remaining amount × t × r)
= 480 ₊ 2720 ₊ 2720 × 9.5 × 2
= $3716.8
(iii) If he buys the computer on hire then how much more he has to pay = ?
= total amount ₋ initial cost
= 3716.8 ₋ 3200
= $516.8
Hence the man has to pay $21.23 as a monthly installment, $3716.8 as a total cost of the computer system and $516.8 as an extra amount if he buys it on hire.
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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.
Use graphing to determine the solution to the system of linear equations x=-1 y=3x+1
At x = -1 the value of y will be equal to -2 for the equation y = 3x + 1.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
The system of linear equations x=-1 and y=3x+1.The equation will be solved as:-
Y = 3x + 1
Y = 3 ( -1 ) + 1
Y = -3 + 1
Y = -2
I have also plotted the graph of the two equations in the graph the two equations intersect at the point x = 1 and y = -2 so the solution of the equations will be ( -1, -2 ).
Therefore At x = -1 the value of y will be equal to -2 for the equation y = 3x + 1.
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Who is credited with creating an alphabet for several Slavic languages?
Answer:
the credit goes to create slavic language isSt. Cyril (or Constantine) and St. Methodius.
St. Cyril ( or Constantine) and St. Methodius are credited with creating an alphabet for several Slavic languages.
Here,
We have to find, Who is credited with creating an alphabet for several Slavic languages.
Who was Slavs?
Slavs are Indo-European people who speak the various Slavic languages of the larger Balto-Slavic linguistic group.
Now,
St. Cyril ( or Constantine) and St. Methodius are credited for creating an alphabet for several Slavic languages.
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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
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
Estimate the sum of the decimals below by rounding to the nearest whole number. Enter your answer in the space provided
Answer:
18
Step-by-step explanation:
closest whole numberd are 5, 8 and 5. 5 + 5 = 10 + 8
= 18.
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
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 ❞
If a gas filled balloons rises 40 feet in the 1 minutes, 60 feet in the 2 minute, and 80 feet in the 3 minute, how many feet will the balloon rise during the 15 minute
Answer:
600
Step-by-step explanation:
15*40=600
