Answer:
[tex]\frac{-2±\sqrt{3} }{2}[/tex]
dec form: -0.13
Step-by-step explanation:
What is the value of the expression – 57 - (-13 +33)?
-102
А
B
-3
с C
0 h
D
-73
Answer:
-77
Step-by-step explanation:
-57-(-13+33)
=-57-20
=-77
Imran deposited 3000 per month (at the start of month) into a saving account for 10 months. If the bank offer 6% interest compounded monthly , the total amount imran would have saved at the end of three year would be.
Answer:
3.590.04
Step-by-step explanation:
The formula given for total amount saved when compounding interest =
A = P(1 + r/n)^nt
Where
A = Total amount saved after t years
P = Principal or initial amount saved
r = Interest rate
n = compounding frequency
t = time in years
From the above question
P = 3000
r =6% = 0.06
n =compounded monthly = 12
t = 3 years
Hence,
A = 3000(1 + 0.06/12)^3 × 12
A = 3000(1 + 0.06/12)^36
A = 3,590.04
Therefore, the total amount Imran will have in his account after 3 years = 3,590.04
Find the area of the triangle with A=60º b=11ft and c=8ft
Answer:
38.105
Step-by-step explanation:
The area of this triangle = 0.5 * b * c * sin(A)
= 0.5 * 11 * 8 *sin(60) sin(60) = [tex]\sqrt{3} /2[/tex] = .866025...
= 0.5 * 11 * 8 * .866025
= 38.105
Answer:
23.42
Step-by-step explanation:
because b was 11 making it the base
and c was 8 making it the side
you have to convert the 60degrees into ft
what is the decimal for -1 1/2
Answer:
[tex]\large \boxed{\mathrm{-1.5}}[/tex]
Step-by-step explanation:
-1 1/2
1 over 2 is one half or 0.5
-1+0.5 = -1.5
Answer:
[tex] \boxed{\red{\bold{- 1.5}}}[/tex]
Step-by-step explanation:
[tex] - 1 \frac{1}{2} = - \frac{3}{2} \\ - \frac{ 3}{2} \frac{ \times 5}{ \times 5} \\ = - \frac{ 15}{10} = - 1.5[/tex]
hope this helps you.
will give the brainliest!
follow ~Hi1315~
5(x^3)^2(-2x^4)^-3
Simplify and write with positive exponents
Answer:
Step-by-step explanation:
Solve for v.
29 = -8v - 7 +5v
Answer:
v = -12
Step-by-step explanation:
if you combine like terms it is
29 = = -3v - 7
so then you add 7 to both sides
-3v = 36
then you divide both by -3 and you get v = -12
Answer:
v = -12
Step-by-step explanation:
First, add like terms.
29 = -8v - 7 + 5v
29 = -3v - 7
Solve for v:
36 = -3v
-12 = v
So, v = -12
PLEASE GUYS, I NEED HELP
Q1. What is the simplified form of 5(x-3y)+4(4y-x)-2(x-y)?
Q2. What is the solution set of 3-2[x+2]=6?
Q3. Which of the following is true about the row data given below 4, 7, 8, 4 and 1?
A. The median is 6
B. The mean is equal to the median
C. The mode is equal to the median
D. The range is 8
Q4. Which of the following is the slope of the line passing through the points A(1-a,b+1) and B(1+a,1-b)?
[tex] a. \: \frac{1 - b}{1 + a} \\ \\ b. \: \: \frac{b + 2}{a - 2} \\ \\ c. \: \: \: \frac{b}{a} \\ \\ d. \: \frac{ - b}{a } [/tex]
Answer:
see explanation
Step-by-step explanation:
(1)
5(x - 3y) + 4(4y - x) - 2(x - y) ← distribute all 3 parenthesis
= 5x - 15y + 16y - 4x - 2x + 2y ← collect like terms
= 3y - x
(2)
3 - 2(x + 2) = 6 ( subtract 3 from both sides )
- 2(x + 2) = 3 ( divide both sides by - 2 )
x + 2 = - 1.5 ( subtract 2 from both sides )
x = - 3.5
solution set = { - 3.5 }
(3)
The median is the middle value of the data in ascending order
1 4 4 7 8 ← in ascending order
↑ median = 4
The mean is the sum of the values divided by the count
mean = [tex]\frac{1+4+4+7+8}{5}[/tex] = [tex]\frac{24}{5}[/tex] = 4.8
The mode is the value which occurs most often
mode = 4
Thus the mode is equal to the median → C
(4)
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (A(1 - a, b + 1 ) and (x₂, y₂ ) = B(1 + a, 1 - b )
m = [tex]\frac{1-b-(b+1)}{1+a-(1-a)}[/tex]
= [tex]\frac{1-b-b-1}{1+a-1+a}[/tex]
= [tex]\frac{-2b}{2a}[/tex] ( cancel 2 on numerator/ denominator )
= [tex]\frac{-b}{a}[/tex] → d
Answer:
d
Step-by-step explanation:
For the following, write an equivalent expression in standard form: (5x2 + 6x - 2) + 4x (3x – 7).
the 2 for the 5 x is an exponent
Answer:
17x^2 -22x -2
Step-by-step explanation:
5x^2 +6x -2 +4x (3x-7)5x^2 +6x -2 +12x^2 -28x17x^2 +6x -2 -28xAnswer: 17x^2 -22x -2Just so you know when I put (^) the number after it is a exponent.
What is the slope of the line that passes through the points (-6, -7)(−6,−7) and (-24, -7) ?(−24,−7)? Write your answer in simplest form.
Answer: 0
Step-by-step explanation: since it’s 2 negatives it will lead up too 0 and it can’t be undefined
The slope of the given points is -17.
What is slope?The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points.
Given that, a slope passes through two points (-6, -7) and (-24, -7)
Slope = (y2-y1)/(x2-x1)
= (-24+7)/(-7+6)
= -17
Hence, the slope is -17.
For more references on slope, click;
https://brainly.com/question/3605446
#SPJ2
PLEASE HELP: Complete the equation of a line through (-10, -7) and (-5, -9).
Answer:
find slope m
m=y2-y1/x2-x1
m=-9-(-7)/-5-(-10)
m=-9+7/-5+10
m=-2/5
y=-2/5 x+b ( find b at point (-10,-7)
-7=-2/5(-10)+b
-7=20/5+b
b=-7-4
b=-11
y=-2/5 x -11 slope intercept form
y-(-7)=-2/5(x-(-10)
y+7=-2/5(x+10) point slope form
What is the difference between formal and informal geometry
Answer:
There is a sub-field of geometry called formal geometry which is related to algebraic geometry and deals with topics such as formal schemes , topological rings , the comparison theorem in algebraic geometry , the Grothendieck existence theorem.
Informal geometry have the topics of definitions, measurements, and constructions of geometric shapes and figures. No attention to formal proofs is given. Subtopics include points, lines, angles, triangles, quadrilaterals, circles, area, and perimeter.
Step-by-step explanation:
The base of a parallelogram is thrice its height. If the area is 897 sq.cm. Find the base and the height of parallelogram.
Answer:
[tex] \boxed{ \bold{ { \sf{height \: = \: 17.29 \: cm}}}}[/tex]
[tex] \boxed{ \bold{ \sf{base = 51.87 \: cm}}}[/tex]
Step-by-step explanation:
Let the height of a parallelogram be 'x'
Base of a parallelogram be 3x
Area of a parallelogram ( A ) = 897 cm²
Base ( b ) = ?
Height ( h ) = ?
First, finding the height of a parallelogram ( x )
[tex]\bold{ \boxed{ \sf{area \: of \: a \: parallelogram \: = \: base \: \times \: height}}}[/tex]
[tex] \dashrightarrow{ \sf897 = 3x \times x}[/tex]
[tex] \dashrightarrow{ \sf{897 = 3 {x}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{3 {x}^{2} = 897}}[/tex]
[tex] \dashrightarrow { \sf{ \frac{3 {x}^{2} }{3} = \frac{897}{3} }}[/tex]
[tex] \dashrightarrow{ \sf{ {x}^{2} = 299}}[/tex]
[tex] \dashrightarrow{ \sf{x = \sqrt{299} }}[/tex]
[tex] \dashrightarrow{ \sf{x = 17.29}}[/tex]
Height of a parallelogram = 17.29 cm
Finding the base of the parallelogram
[tex] \sf{base \: of \ \: a \: parallelogram = 3x}[/tex]
⇒[tex] \sf{base \: of \: a \: parallelogram = \: 3 \times 17.29}[/tex]
⇒[tex] \sf{base \: of \: a \: parallelogram = 51.87 \: cm}[/tex]
Base of a parallelogram = 51.87 cm
Hope I helped!
Best regards! :D
in the equation y= -2x -3 over 5, identify the slope, the y-intercept, and whether the line is rising, falling, horizontal, or vertical
(Select three that apply)
A. Slope = -3/5
B. Slope = 3/5
C. Slope = 2
D. Slope = -2
E. Y-intercept = 3/5
F. Y-intercept = -3/5
G. Y-intercept = 2
H. Y-intercept = -2
I. Rising
J. Falling
K. Horizontal
I. Vertical
Answer:
Slope = -2
y-intercept = -3/5
Falling
Step-by-step explanation:
[tex]y= -2x - \frac{3}{5} \\ y = mx + b[/tex]
m = Slope = -2
y-intercept = b =
[tex] - \frac{3}{5} [/tex]
The slope of the equation has a negative number so the graph is falling
An emu that measures 22 inches long in height is 14 inches less than two times the height of a stuffed canary. What is the height of the stuffed canary?
4 inches
Step-by-step explanation:e - 14 = 2c
22 - 14 = 2c
2c = 8
c = 8 : 2
c = 4 in
Answer:
[tex]\Huge \boxed{\mathrm{18 \ inches}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
Let the height of the emu be [tex]e[/tex].
Let the height of the stuffed canary be [tex]s[/tex].
[tex]e=22[/tex]
[tex]e=2s-14[/tex]
Substitution method.
[tex]22=2s-14[/tex]
Solving for the height of the stuffed canary.
Adding 14 to both sides.
[tex]36=2s[/tex]
Dividing both sides by 2.
[tex]18=s[/tex]
The height of the stuffed canary is 18 inches long.
[tex]\rule[225]{225}{2}[/tex]
Find an
expression which represents the sum of (-3x – 4y) and (x + 3y) in
simplest terms.
Answer:
-2x-y
Step-by-step explanation:
The expression that represents the sum of (-3x - 4y) and (x + 3y) in simplest terms is -2x - y by combining like terms.
To simplify the expression, follow these steps:
Distribute the negative sign: Multiply the terms inside the parentheses by -1 to distribute the negative sign.
[tex]-3x - 4y + x + 3y[/tex]
Group the like terms: Combine the terms with the same variable.
In this case, -3x and x, as well as -4y and 3y.
[tex](-3x + x) + (-4y + 3y)[/tex]
Combine the x terms: -3x + x equals -2x.
[tex]-2x + (-4y + 3y)[/tex]
Combine the y terms: [tex]-4y + 3y[/tex] equals -y.
[tex]-2x - y[/tex]
Therefore, the simplest form of the expression is [tex]-2x - y[/tex].
In summary, the expression [tex](-3x - 4y) + (x + 3y)[/tex] simplifies to [tex]-2x - y[/tex].
Learn more about like terms here:
https://brainly.com/question/16601020
#SPJ4
You earn $2,323 per month after taxes. Your monthly bills are as follows….Rent $870, food $754, child care $961, car $607 and taxes $242. How much must you earn in order to pay all of your bills? A.$3460 B.$4267 C.$4362 B.$3434
Answer: The answer would be d. 3434
Step-by-step explanation:
How to solve this equation?
f(x)=5-x²
Answer:
[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]
Step-by-step explanation:
To solve for the 0s of a function, set the function to 0 and solve for the x. Therefore:
[tex]f(x)=5-x^2[/tex]
Set f(x) to 0:
[tex]0=5-x^2[/tex]
Add x^2 to both sides:
[tex]x^2=5[/tex]
Take the square root of both sides:
[tex]x=\pm\sqrt{5}[/tex]
So, our solutions are:
[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]
[tex]2 \times 2[/tex]
really needing help with this problem
Answer:60
Step-by-step explanation:
Answer:
z = 80
Step-by-step explanation:
A quadrilateral has angles that sum to 360 degrees
E + C+ G+F = 360
100+60+120+F = 360
Combine like terms
280+F = 360
F = 360-280
F = 80
We know that ABCD is similar to FECG
That means the measure of A = measure of F
z = 80
Termites live in the tropical rainforest breaking down dead and decaying plant material. As they break down the plant material they release methane, a greenhouse gas. Annually, 1,000 termites release approximately 500 grams of methane. Given a density of 3.5 X 106 termites per hectare, what is the annual amount of methane released, in kilograms, by the termites inhabiting a 3,000 hectare of tropical rainforest.
Answer:
Approximately 5,250,000 kg of methane would be released.
Step-by-step explanation:
Given: 1,000 termites release approximately 500 g of methane annually
3.5 x [tex]10^{6}[/tex] termites per hectare
Thus, population of termites inhabiting 3,000 hectares = number of termites per hectare x 3,000
= 3.5 x [tex]10^{6}[/tex] x 3,000
= 10 500 000 000
= 1.05 x [tex]10^{10}[/tex]
Since 1,000 termites release 500 g of methane, then 10 500 000 000 termites would release:
[tex]\frac{10500000000}{1000}[/tex] x 500 g
= 5250000000 g
But 1000 g = 1 kg, so that;
[tex]\frac{5250000000}{1000}[/tex]
= 5250000 kg
Approximately, 5,250,000 kg of methane would be released by termites inhabiting 3,000 hectares of tropical rain forest.
Simplify to create an equivalent expression. 8−4(−x+5)
Choose 1 answer:
A
4x−12
B
−4x−12
C
4x+13
D
4x+5
Answer:
[tex]8 - 4( - x + 5) = 8 + 4x - 20 = 4x - 12[/tex]
Step-by-step explanation:
the answer is A
Which of these is not a scalar quantity A) time B) temperature c) velocity D) mass
Answer:
Hey there!
Velocity is a vector, not a scalar because it also has direction.
Let me know if this helps :)
Answer:
Velocity because it has direction
7
10 points
Which statement is true?
O 65 is between 6 and 7 on a number line
65 is between 7 and 8 on a number line
142 is between 11 and 12 on a number line
5142 is between 14 and 15 on a number line
5 point
If my phone bill is calculated using equation c= 50g +75 what is the value and interpretation of the slope of this equation? C= cost and g= gigabytes of data used each month
Answer:
The value of the slope in this equation is 50
The interpretation is that the rate of change in the cost of the phone bill per unit change in gigabytes of data used each month is 50
Step-by-step explanation:
To answer this question, we need to compare the given equation with the equation of a straight line graph.
The equation we have is;
c = 50g + 75
comparing this with the equation of a straight line, we have
y = mx + c
where m represents the slope and c is the y-intercept
So comparing both, the slope of the equation is 50.
The slope is always the co-efficient of the value on the x-axis
So what does this mean?
The slope also called the gradient represents the rate of change of the y-term divided by the rate of change of the x-term. In simpler terms, when we talk of the slope, we mean the rate of change of the y term per the unit change of the x-term.
So what we mean in this case is the rate of change in cost of the phone bill per unit change in gigabytes of data used each month is 50
What is the diameter of a tire in inches given the following data: P265/90R22 (25.4mm/ inch) a) 499 inches b) none of the other choices c) 31.39 d) 40.78 inches
Answer:
d) 40.78 inches
Step-by-step explanation:
See attached for details
Pablo debe ordenar 350 sillas de un salón en filas y columnas. Cada fila tendrá 20 sillas. ¿Cuántas filas completas podrá formar? ¿Quedará alguna fila incompleta?, ¿con cuantas sillas? ¿Cómo representarías con una división el proceso?
Answer:
¿Cuántas filas completas podrá formar? 17 filas¿Quedará alguna fila incompleta? Si ¿Con cuantas sillas? 10 sillas¿Cómo representarías con una división el proceso? 350÷20= 17.5Step-by-step explanation:
La división es una operación matemática que consiste en averiguar cuántas veces un número está contenido en otro número. En otras palabras, dividir es repartir un número en grupos iguales.
En este caso, deseas repartir 350 sillas en filas, en las cuales entran 20 sillas. Entonces, para conocer cuántas filas completas podes formar haces la división: 350÷20= 17.5
Entonces, se podrán formar 17 filas completas y, al ser 17.5 un número decimal, indica que hay otra fila que quedará incompleta.
Para saber cuántas sillas tendrá la fila incompleta podes realizar el siguiente cálculo: 17 filas*20 sillas= 340, que indica que para completar las 17 filas usas un total de 340 sillas. Si tenes 350, entonces en la fila incompleta hay solo 10 sillas (obtenida mediante la operación 350-340= 10) de las 20 que debería haber, faltando otras 10 sillas para completarla.
Finalmente:
¿Cuántas filas completas podrá formar? 17 filas¿Quedará alguna fila incompleta? Si ¿Con cuantas sillas? 10 sillas¿Cómo representarías con una división el proceso? 350÷20= 17.5Lauren has a bouquet of flowers.
1/5 of the flowers are red
3/10 of the flowers are white
The rest of the flowers are yellow
Lauren’s bouquet has 18 yellow flowers. How many flowers are included in her bouquet
Answer:
There are a total of 36 flowers in the bouquet.
Step-by-step explanation:
1/5 + 3/10 = 1/2 when simplified. So half of her flowers are yellow and the other half is red and white. Sence Lauren has 18 yellow flowers then there must be a total of 18 red and white flowers. So 18 + 18= 36.
the sum of 25 and z
Answer:
25+z
Step-by-step explanation
the sum is adding them?
The sum of the number 25 and the letter will be (25 + z).
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The sum of the number 25 and the letter is given by putting the plus sign between the number 25 and the letter z. Then the expression will be
⇒ (25 + z)
The sum of the number 25 and the letter will be (25 + z).
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
\sqrt{2a}\cdot \sqrt{14a^3}\cdot \sqrt{5a} sorry couldnt put in the actually signs
Answer:
5
Step-by-step explanation:
Answer:
2a^2\sqrt{35a}
Step-by-step explanation:
I hope this helped
Consider the expression (Ex+6) – 3x
What is the value of the expression evaluated for x =
12?
0-26
0-25
12
46
Answer:
-26
Step-by-step explanation:
[tex]\frac{5}{6}( \frac{1}{2}x+5) - 3x[/tex]
= [tex]\frac{5}{6}( \frac{1}{2}*12+5) - (3*12)\\[/tex]
= -26