Step-by-step explanation:
I=PRT/100
p=I/RT×100
p=2240/10×2×100
p=11200
Given that x= –1/2 and y = 4 , evaluate 3x²y + xy²
Answer:
-5
Step-by-step explanation:
3x²y + xy²
Let x = -1/2 and y = 4
3(-1/2)^2 (4) + (-1/2) (4)^2
Exponents first
3(1/4) (4) + (-1/2) 16
Multiply
3 - 8
Subtract
-5
Answer: [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\huge \boldsymbol {-5}[/tex]
Step-by-step explanation: simplify it [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} 3x^2y+xy^2=xy(3x+y)[/tex] evalute [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} -\frac{1}{2} \cdot 4 (-3\cdot \frac{1}{2}+4)=-2\!\!\!\!\diagup\cdot\frac{5}{2\!\!\!\!\diagup} =\boxed{-5}[/tex]
The number -8 lies to the right of ___________ on the number line.
8
0
-6
-12
Answer:
-6
Step-by-step explanation:
-123456789101112131415
45 girls and 30 boys ratio in the lowest terms
Answer:
3:2
Step-by-step explanation:
45, 30
both divisible by 15, so:
3 : 2
bc :
3*15 = 45
2*15 = 30
Answer: 2/3
Step-by-step explanation: 30÷5; 45÷5= 6/9=2/3
The equation of the line with slope −4 that goes through the point (8,−3)
can be written in the form y=mx+b
where m is:
and where b is:
Answer:
y = -4x + 29
Step-by-step explanation:
-3 = -4(8) + b
-3 = -32+b
29=b
The equation whose slope is -4 and passes through (8,-3) is y=-4x+29 where slope is -4.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to form equation?We have been given slope of line being -4 and point through which it passes (8,-3) and we have to find the equation of line.
The equation from two points can be calculated through the following formula:
y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]) and slope is m.
Putting the values of points and slope in the formula given above.
y-(-3)=-4(x-8)
y+3=-4(x-8)
y+3=-4x+32
y=-4x+32-3
y=-4x+29
Hence the equation is y=-4x+29 where slope is -4.
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Use the formula to compute Isabel’s monthly loan payment, assuming that she makes a down payment of $5,000. Recall that the table shows she’ll finance $16,950, and her interest rate is 4.3%.
Type the correct answer in the box. Round the answer to the nearest dollar.
Isabel’s monthly loan payment will be about $
.
Answer:
314
Step-by-step explanation:
unit activity
Sarah is going from home to school then to the library to study and finally to the part to meet with friends before going home. Find the distance Sarah will travel today based on the locations of each stop on the coordinate plane. Include:
Distances between all 4 locations
Total distance
The method used for each calculation
Sarah’s house (2,-5)
The school (2,4)
Library (-3,4)
Park (-3,-5)
Answer:
i) The distance between Sarah's house and the school is 9
ii) The distance between the school and the library is 5
iii) The distance between the library and the park is 9
iv) The distance between the park and Sarah's house is 5
2) The total distance Sarah travels is 28
Step-by-step explanation:
The given coordinates of the locations are;
Sarah's house (2, -5)
The school (2, 4)
Library (-3, 4)
Park (-3, -5)
Sarah's journey is; From the house → The school → Library → Park → House
The distance, d, between two coordinate points, (x₁, y₁) and (x₂, y₂) is given as follows;
d = [tex]\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
i) Therefore, the distance between Sarah's house ((x₁, y₁) = (2, -5)) and the school ((x₂, y₂) = (2, 4)), d₁, is d₁ = √((2 - 2)² + (4 - (-5))²) = 9
Sarah's house → The school = 9
ii) The distance between the school ((x₁, y₁) = (2, 4)), and the library, ((x₂, y₂) = (-3, 4)), d₂ = √((-3 - 2)² + (4 - 4)²) = 5
The school → Library = 5
iii) The distance between the library ((x₁, y₁) = (-3, 4)), and the park ((x₂, y₂) = (-3, -5)), d₃ = √((-3 - (-3))² + (-5 - 4)²) = 9
The library → The park = 9
iv) The distance between the park ((x₁, y₁) = (-3, -5)), and Sarah's house ((x₂, y₂) = (2, -5)), d₃ = √((2 - (-3))² + (-5 - (-5))²) = 5
The park → Sarah's house → 5
2) The total distance = 9 + 5 + 9 + 5 = 28.
2) Find the sum of the first 50 terms of the
following series, to the nearest integer.
6, 10, 14,...
Answer:
The sum of the first 50 is 5200
Step-by-step explanation:The given sequence is a linear sequence.
So, first we calculate the common difference
d=t2-t1
d=10-6=4
The sum of the first 50 terms is then calculated using: sorry it wont let me copy and paste my explo and im lazy
Answer:
5,200
Step-by-step explanation:
6, 10, 14, ...
Sum = [ number of terms(first term+last term) ] / 2
-we know there are 50 terms
-we now the first term is 6
-we need to find the last term
last term = first term + (n-1)* difference between first and second term
last term = 6 + (50-1) * (10-6)
last term = 6 + 49*4 = 202
Sum = [ number of terms(first term+last term) ] / 2
Sum = [ 50 ( 6 + 202) ] / 2 = 5,200
Use the given conditions to write an equations for the line in slope- intercept form. passing through (1,-8) and (-7,8)
Answer:
y = -2x - 6
Step-by-step explanation:
Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise'). Thus, the slope of the line through these two points is m = rise/run = 16/(-8) = -2.
Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:
y + 8 = -2(x - 1), or
y = -8 - 2x + 2, or
y = -2x - 6 (in slope-intercept form)
complete the given magic square with consecutive numbers from 6 to 14 having magic constant 30
Step-by-step explanation:
the answer is in the image above
The required magic square with consecutive numbers from 6 to 14 having a magic constant of 30 is.
| 13 | 6 | 11 |
| 8 | 10 | 12 |
| 9 | 14 | 7 |
What is a magic square?A magic square is a square grid filled with consecutive integers in a way that all rows, columns, and diagonals have the same sum, known as the magic constant.
Here,
To complete the given magic square with consecutive numbers from 6 to 14 having a magic constant of 30, we can follow these steps:
Step 1: Write the partially filled magic square:
Step 2: Calculate the sum of the known numbers:
Step 3: Calculate the sum of the missing numbers:
Step 4: Distribute the missing numbers in the empty cells in a way that the sum of all rows, columns, and diagonals is equal to the magic constant of 30.
We know that the center cell must be 12, because it is the only cell that can be part of three different diagonals.
We can check that all rows, columns, and diagonals add up to 30:
| 13 | 6 | 11 |
| 8 | 10 | 12 |
| 9 | 14 | 7 |
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Point A(3,8)
and point B(−1,1)
are located within the coordinate plane.
what is the distance from A to B?
Answer:
[tex]\displaystyle d = \sqrt{65}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point A(3, 8)
Point B(-1, 1)
Step 2: Find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-1 - 3)^2 + (1 - 8)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-4)^2 + (-7)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{16 + 49}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{65}[/tex]Answer:
8.1
Step-by-step explanation:
the person who posted before was correct! they just forgot to change the format of the answer, see their response for an accurrate explanation :)
simplify -8/2 ÷ 6/-3
Answer: the answer is 2 or C
-8/2 x -3/6
*Always do the recipical*
(-8 x -3) / (2 x 6)
-8 x -3= +24
2 x 6= 12
24/12= 2
The solution of the given expression -8/2 x -3/6 is 2. The correct option is B.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Given that the expression is,
-8/2 x -3/6
The expression will be solved as below,
E = (-8 x -3) / (2 x 6)
The numerator will get reciprocal and multiplied to the denominator,
E = 24 / 12
Divide the number 24 by 12 and get the solution,
E = 2
Therefore, the solution of the expression will be 2. The correct option is B.
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25. A pizza shop offers 30% off the price of a large pizza every Tuesday
night. If the regular price is $25, what is the discounted price?
Answer:
25 -(.3*25)
25-7.50 = $17.50
Step-by-step explanation:
Answer:
17.50
Step-by-step explanation:
First find the amount of the discount
25 * 30%
25 * .3
7.5
Subtract this from the original amount
25 - 7.5
17.50
Someone, please help me on this one
Answer:
D
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 4x² + 7x - 3 + 6x³ - 7x² - 5 ← collect like terms
= 6x³ - 3x² + 7x - 8
Answer:
D. (f + g )( x ) = 6x³ - 3x² + 7x - 8
Step-by-step explanation:
Given :-
f ( x ) = 4x² + 7x - 3.g ( x ) = 6x³ - 7x² - 5.To Find :-
( f + g ) ( x ).Solution :-
(f + g )( x ) = 4x² + 7x - 3 + 6x³ - 7x² - 5.
Arranging like terms.
(f + g )( x ) = 6x³ - 7x² + 4x² + 7x -5 - 3
Combine like terms.
(f + g )( x ) = 6x³ - 3x² + 7x - 8
Wendy brought 4 cakes and 2 pies for $20. The cost of a cake is twice the cost of 1 pie. A) What was the cost of one cake b)What was the cost of 1 pie?
Answer:
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Step-by-step explanation:
Let the cost of cake be C.Let the cost of pie be PC = 2P .....equation 1
4C + 2P = 20 .....equation 2
Substituting eqn 1 into eqn 2, we have;
4(2P) + 2P = 20
8P + 2P = 20
10P = 20
P = 20/10
Pie, P = $2
Next, we would determine the cost of a cake;
From equation 1;
C = 2P
Substituting the value of "P" we have;
C = 2 * 2
Cake, C = $4
Therefore, we would have the following answers;
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Check:
From equation 2;
4C + 2P = 20
4(4) + 2(2) = 20
16 + 4 = 20
20 = 20
The average movie ticket price in dollars since 1980 can be modeled by 0.142x + 1.93 where x is the number of years since 1980. What values of x would you use to find the average movie ticket price in 1985, 1999, and 2010? Find the ticket prices for each of those years rounded to the nearest cent. Submit your x-values, ticket prices, and all solution steps to earn full credit.
Answer:
Step-by-step explanation:
1985:
x = 5 years ( 1980 to 1985- 5 years)
0.142x + 1.93 = 0.142*5 + 1.93
= 0.71 + 1.93
= $ 2.64
1999:
x = 19 years
0.142x + 1.93 = 0.142*19+ 1.93
= 2.698 + 1.93
=4.628 = $ 4.63
2010:
x = 30 years
0.142x + 1.93 = 0.142*30 + 1.93
= 4.26 + 1.93
= $ 6.19
a)out of 300 students In a class 60% of the students took physics and 35 students took chemistry and 20% of the students did not take any of this subject. how many students take both the subject
Answer:
25 students take both subjects.
Step-by-step explanation:
Solve for 60% of 300 students:
60/100 = x/300
Cross multiply:
60 × 300 = 100 × x
18000 = 100x
Divide both sides by 100:
180 = x
Solve for 20% of 300 students:
20/100 = x/300
20 × 300 = 100 × x
6000 = 100x
60 = x
Solve for the percentage of students in chemistry:
x/100 = 35/300
x × 300 = 100 × 35
300x = 3500
x = 11.66666...7
x = about 11.7%
Find the difference in percentages:
100 - 60 - 20 - 11.7
8.3
8.3% take both subjects
Solve for 8.3% of students:
8.3/100 = x/300
8.3 × 300 = 100 × x
2490 = 100x
24.9
About 25 students
Check your work by adding all the students together (to get to 300):
25 + 60 + 180 + 35
300 students total
This is correct!
PLEASE HELP!!! Bring the fraction:
b/7a^2c to a denominator of 35a^3c^3
a/a-4 to a denominator of 16-a^2
I think this should be the answer
find the two rational number between -2 and-1
Answer:
-3/2, -7/4
Step-by-step explanation:
The numbers have to be negative, and two rational numbers between -1 and -2 are -1.5 and -1.75 and fortunately for us, both are rational (can be expressed as fractions), -1.5 = -3/2 and -1.75 = -7/4
HPH (Happy to help)
Question 3(Multiple Choice Worth 5 points)
(01.01 LC)
What is the decimal equivalent of 3/9
02
0.3
04
0,5
Answer:
0.3
Step-by-step explanation:
just divide on a calculator 3/9 and u get 0.3
f(x) = -22 – 14
Find f(9)
Answer:
-4
Step-by-step explanation:
f(9)=-22-14
f(9)=-36
f multiplied by 9divide by 9=-36divide by 9
f=-4
This trapezium is drawn on a centimetre grid.
Find the area of the trapezium.
Answer:
A = 18 units²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h ( b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
By counting squares
h = 3, b₁ = 3, b₂ = 9 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 9) = 1.5 × 12 = 18 units²
Which values for h and k are used to write the function f(x) = x2 + 12x + 6 in vertex form?
h=6, k=36
h=-6, k=-36
h=6, k=30
hs-6, k=-30
Someone please help me with this I can’t fail this test !
A side of the triangle below has been extended to form an exterior angle of 148°. Find the value of x
Answer: 32
Step-by-step explanation:
total= 180
180-148=32
How is the solution set of the sentence below described? X + 5 < 7
A. {All numbers less than 7/5}
B. {All numbers less than 2}
C. {All numbers less than 7}
D. {All numbers less than 12}
E. None of these
Answer:
B. {All numbers less than 2}
Step-by-step explanation:
X + 5 < 7
Subtract 5 from each side
X + 5-5 < 7-5
x<2
All numbers less than 2
Please help as soon as possible.
Answer:
C = 37.6991
Step-by-step explanation:
The equation for the circumference of a circle is given: C = π · d
where, d is the diameter of the circle.
Plug in the value of d = 12 and use the π button on the calculator.
C = π · 12
C = 37.6991
Which numbers belong to the solution set of the inequality?
X+ 9 < 78
A. 70, 72, 74, 80
B. 44, 50, 54, 68
C. 50, 62, 66, 71
D. 87, 89, 92,95
Answer: B
Step-by-step explanation:
x+9<78 => x< 78-9=> x< 69 => b right
Answer:
B.44,50,54,68
Step-by-step explanation:
40+9<78
50+9<78
54+9<78
68+9<78
Laura is taking her family to an ice show. Each ticket costs $15, and programs
cost $6 each. She has $97. She buys 5 tickets and wants to figure out the
greatest number of programs she can buy.
If x = number of tickets and y= number of programs, which of the following
inequalities could you use to find the answer to the problem?
A. X+ y = 97
B. 15 + 6y s 97
C. 15x + 6ys 97
D. 15x + 6y2 97
Answer:
Im not sure what the answer choices are supposed to be but i think it's out of C or D.
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
|m^2+n^2|
Answer:
34
Step-by-step explanation:
We are here given a modulus expression and we need to find out the value when m = -5 and n = 3 .
Modulus :- It always gives positive value . For example ,
[tex]\rm\implies |-a| = a [/tex]
[tex]\rm\implies |a| = a [/tex]
The given modulus expression is :-
[tex]\rm\implies |m^2+ n^2| [/tex]
As the number inside the modulus operator are already squared therefore they will always give positive value for real numbers . Here we can omit the modulus .
[tex]\rm\implies m^2 + n^2 [/tex]
Plug in the given values ,
[tex]\rm\implies (-5)^2 + 3^2 [/tex]
Solve 5² and 3² and add them ,
[tex]\rm\implies 25 + 9 [/tex]
On adding ,
[tex]\rm\implies 34 [/tex]
Therefore ,
[tex]\rm\implies \boxed{\blue{\rm |m^2+n^2| = 34 }}[/tex]
Hence the required answer is 34 .
Find the measure of 2
Answer:
92
Step-by-step explanation:
Angle 2 and 92 are corresponding angles and corresponding angles are equal when the lines are parallel
Answer:
[tex]\angle 2=92^{\circ}[/tex]
Step-by-step explanation:
When two parallel lines are cut by a traversal, their corresponding angles are always equal. Corresponding angles can be found if you took each point of intersection and aligned them up with each other.
In this case, we see that [tex]\angle 2[/tex] and the angle marked as 92 degrees correspond with each other. Since all corresponding angles are equal, we have:
[tex]\angle 2=\boxed{92^{\circ}}[/tex]
write an example of a monomial of degrees 5
Answer:
find the value of:Cos = 0.54
