Answer:
Step-by-step explanation:
Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)
-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k
= -4k² + 13k + 12 +5k² - 8k
Combine like terms,
= -4k² + 5k² + 13k - 8k + 12
= k² + 5k + 12
Like terms are the terms with same variable with same exponent.
(-4k² ) and 5k² are like terms
13k and (-8k) are like terms
You roll a die 10 times. Find the probabilities for how many times it will land on six. Write yiur answers in decimal form to 8 places.
P(0)= ____
P(1)= ____
P(2)= ____
P(3)= ____
P(4)= ____
P(5)= ____
P(6)= ____
P(7)= ____
P(8)= ____
P(9)= ____
P(10)= ____
What is the most likely number of times out of 10 rolls that the die will land on six? ____
Answer:
dont mind me
Step-by-step explanation:
A square pyramid is shown. 4 m 6 m 6 m What is the surface area of the pyramid?
x+1/3=5
help plzzzzzzz
Answer:
x = 4 2/3
Step-by-step explanation:
x = 5 - 1/3
x = 4 2/3
Answer:
x = [tex]\frac{14}{3}[/tex]
Step-by-step explanation:
Subtract [tex]\frac{1}{3}[/tex] from both sides
x + [tex]\frac{1}{3}[/tex] - [tex]\frac{1}{3}[/tex] = 5 - [tex]\frac{1}{3}[/tex]
x = [tex]\frac{14}{3}[/tex] or 4 [tex]\frac{2}{3}[/tex]
give the center and the radius of the circle of x^2+y^2+6x-8y=0
(x+a)² + (y+b)² = R²
C (a,b)
R = 5 C( 3 , -4 )
what is the exact value of cos5pie/12
Answer:
Exact Form: −e12
Decimal Form: −0.22652348…
Step-by-step explanation:
What is the area of the triangle
Answer:
30 inches squared
Step-by-step explanation:
The formula for a RIGHT triangle is:
[tex]A= \frac{ab}{2}[/tex]
We are given..
a = 5 inchesb = 1 foot = 12 inchesTherefore...
[tex]A = \frac{5(12)}{2}[/tex]
[tex]A=\frac{60}{2}[/tex]
[tex]A = 30[/tex]
A organização de um novo campeonato de futebol recebereu inscrição de 14 equipes.Se cada equipe tinha 12 jogadores,quantos atletas se inscreveram?
Answer:
168 jugadores.
Step-by-step explanation:
De la pregunta anterior:
Tenemos 14 equipos
1 equipo = 12 jugadores
14 equipos = x jugadores
Multiplicar cruzada
1 equipo × x jugadores = 14 equipos × 12 jugadores
x jugadores = 14 equipos × 12 jugadores / 1 equipo
x jugadores = 168 jugadores
Por tanto, se unirán 168 jugadores.
Plz, answer this question plz!
Answer:
the second option im pretty sure
Answer:
4/48. I don't know for sure, but I think B is the correct answer
I need the answer for real fast. Question below
A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?
x + 4
x + 40
3x + 13
3x + 43
Who started the whole link thing anyways?
Answer:
It's x + 4
Step-by-step explanation:
And I don't know who started this link thing
Hope this helps and have a great day *(:^w^:)
Answer:
It's 3x + 13
Step-by-step explanation:
brainlyest ^（｀ω´ ）^ψ
i need to talk with you
52/4=13
12x/4=3x
3x+13
pls help! ill give brainless to the best answer !!
what is 25% of 75? show your work.
Answer:
18.75
Step-by-step explanation:
25% of 75 =
0.25 x 75 =
18.75
Hope that helps!
Answer:
18.75
Step-by-step explanation: I don't really know what work to show it was all mental
The students of a high school are 51% males. Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.
Answer:
(b) Probability that a student is male and attends concert = 22.95%
(c) Probability that a student is female and does not attend concert = 29.4%
(d) Probability that a student attends concerts = 42.55%
Step-by-step explanation:
P.S - The exact question is -
Given - The population of a high school is 51% male. 45% of the males and 40% of the females attend concerts.
To find - (a) Make a tree diagram based on the information above.
(b) Find the probability that a student is male and attends
concerts.
(c) Find the probability that a student is female and does not
attend concerts.
(d) Find the probability that a student attends concerts.
Proof -
Let the total population of the high school = 100 x
Given that,
The students of a high school are 51% males
⇒Total males in the high school = 51% × 100 x
= [tex]\frac{51}{100}[/tex] × 100 x = 51 x
⇒Total males in the high school = 51 x
⇒Total females in the high school = 100 x - 51 x = 49 x
Now,
Given that,
Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.
⇒Total number of males that attend the concert = 45% × 51 x
= [tex]\frac{45}{100}[/tex] × 51 x = 22.95 x
⇒Total number of males that attend the concert = 22.95 x
And
Total number of males that do not attend the concert = 51 x - 22.95 x
= 28.05 x
⇒Total number of males that do not attend the concert = 28.05 x
Also,
Total number of females that attend the concert = 40% × 49 x
= [tex]\frac{40}{100}[/tex] × 49 x = 19.6 x
⇒Total number of females that attend the concert = 19.6 x
And
Total number of females that do not attend the concert = 49 x - 19.6 x
= 29.4 x
⇒Total number of females that do not attend the concert = 29.4 x
(a)
The tree diagram is as follows :
(b)
Probability that a student is male and attends concert = [tex]\frac{22.95 x}{100 x}[/tex] × 100 %
= 22.95%
⇒Probability that a student is male and attends concert = 22.95%
(c)
Probability that a student is female and does not attend concert = [tex]\frac{29.4x}{100x}[/tex] × 100%
= 29.4%
⇒Probability that a student is female and does not attend concert = 29.4%
(d)
Probability that a student attends concerts = [tex]\frac{22.95x + 19.6x}{100x}[/tex] ×100%
= [tex]\frac{42.55}{100}[/tex] ×100%
= 42.55%
⇒Probability that a student attends concerts = 42.55%
Arcola bought 8 virtual reality headsets for $400 each and 8 laptops for
$500 each. How much total money did Arcola spend?
Answer:
arcola spent 916 dollars
Answer:
the answer is 916
Step-by-step explanation:
Find the slope of the line that passes through (4, 1) and (9, 8).
write an equation of the line that passes through the given points (3,1) (0,10)
Answer:
y = -3x + 10
Step-by-step explanation:
10-1/0-3 = -3
y = -3x + b
1 = -3(3) + b
1 = -9 + b
10 = b
check your answer:
10 = -3(0) + 10
10 = 10
b should be 10
Find the excluding values for the equations a^3+3a^2-10a/5a^3-20a
Answer:
a+5/5(a+2)
Step-by-step explanation:
sorry it took so long
A painter can paint 120 square feet with 4 gallons of paint. Which statement about the unit rate is true?
Answer:
30 (ft^2/gal)
Step-by-step explanation:
The "unit rate" in this problem is (number of square feet covered) / (1 gallon paint).
Here we have the unit rate
120 ft^2
---------------- = (30 ft^2)/gal or 30 (ft^2/gal)
4 gallons
Michelle has four large storage chests in her basement. each storage chest has a base of 8 square feet. Three of the storage chests have a height of 2 feet and one storage has a height of 3 feet. What is the total volume, in cubic feet, of the four storage chests?
Question 16
What is the slope of a line passing through (2, 2) and (3,5)?
5 because of slope equation
El costo de un teléfono celular con un descuento del 30% sobre el precio de lista, está dado por p(x)= x-0.30x. El impuesto a pagar por un artículo que cuesta x pesos está dado por i(x)= 0.15x.
a) Hallar e interpretar i(p(x))
b) ¿cuánto pagarás por un teléfono cuyo precio de lista es de $1,200?
A train travels 20 miles in 15 minutes. how far will it travel in an hour and a half
Answer:
120
Step-by-step explanation:
One hour is 90 minutes 90/15=6 then you take 20X6=120miles
Answer:
It will travel 120 miles
Step-by-step explanation:
First, convert the hour and half to minutes: 90 minutes.
Then divide 90 with 15: 6
Then since there are 6 sections of 15 minutes, you would multiply 20 times 6 which is 120.
a baby weights 7 pounds at birth. the table shows the birth weight after each month of life, up to six months
Answer:
they are adding by 7 because 6 +7=13
1. x+1 when x=10
2. 5y-8 when y=6
3. 6t-9m when t=5 and m=3
4. 62/2 when x=10
5. 5h3-3j2+20 when h=4 and j=5
Answer:
1
X is equal to 10
10 plus 1 equals 11
2
y is equal to 6
30 minus 8
is equal to 22
3
m equals 3 and t equals 5
30 minus 27
is equal to 3
4 not written properly
5 not written properly
A four pack of batteries costs $3.45. A six pack of batteries costs $4.80. Which is a better deal? Unit price.
Answer:
6 for $4.80
Step-by-step explanation:
3.45 / 4 = unit rate of $0.8625
4.80 / 6 = unit rate of $0.80
What is the slope for (-2,1) and (7,1)
Answer:
m=0
Step-by-step explanation:
the slope (m) can be calculated from two points with the formula (y2-y1)/(x2-x1)
we are given the points (-2,1) and (7,1)
label the points:
x1=-2
y1=1
x2=7
y2=1
now substitute into the equation
m=(1-1)/(7--2)
m=0/9
m=0
the slope of the line is 0
Hope this helps!
.H E L P.
choose the best selection for the quadrilateral with vertices at following points
0,0 -2,3 7,0 5,3
Answer:
The quadrilateral has two pairs of opposite parallel sides and (from the graphing of the points) it is slanted from the vertical, therefore, it is a;
B. Parallelogram
Step-by-step explanation:
The coordinates of the vertices of the given quadrilateral are;
(0, 0), (-2, 3), (7, 0), (5, 3)
Arranging the coordinates according to their y-values and labelled gives;
A(-2, 3), B(5, 3), C(0, 0), D(7, 0)
The graph of the points created with Microsoft Word and Microsoft Excel is attached
From the graph, we have;
Segment AB is parallel to segment CD
The length of segment AB = √((5 - (-2))² + (3 - 3)²) = 7
The length of segment CD = √((7 - 0)² + (0 - 0)²) = 7
∴ The length of segment AB = The length of segment CD
The distance between segment AC and segment BD = Length of segment AB at point A = Length of segment CD at point C
∴ Segment AC is parallel to segment BD (The distance between two parallel lines is the same all through)
The quadrilateral is also observed to be slant from the vertical
Therefore the quadrilateral is a parallelogram
Help, I wanna pass this iready lesson or im going to get yelled at.
Answer:
1/10 is the correct answer
Step-by-step explanation:
3/5=6/10
7/10-6/10=1/10
Answer:
1/10 hour
Step-by-step explanation:
7/10
convert 3/5 to 6/10 for same denominator
7/10 - 6/10 = 1/10
A castle has to be guarded 24 hours a day. Five knights are ordered to split each day's guard duty equally. How long will each knight spend on guard duty in one day? Record your answer in hours as a decimal.
Answer: 4.8 hours
Step-by-step explanation:
Given
The castle must be guarded 24 hr by 5 knights
If duty is split equally among them
No of hours spent by each knight on duty
[tex]\Rightarrow n=\dfrac{24}{5}=4.8\ \text{hours}[/tex]
Therefore, each guard must serve a duty of 4.8 hours
The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm. What is the volume of the pyramid? 48 cm3 72 cm3 32 cm3 60 cm3
Answer:
72cm
Step-by-step explanation:
The volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.
It is given that the perimeter of the base of a right square pyramid is 24 cm and the height of the pyramid is 6 cm.
It is required to find the volume of the right square pyramid.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the formula for finding the volume (V) of a right square pyramid is:
[tex]\rm V= a^2\times\frac{h}{3}[/tex] Where a is the base side and h is the height of the right square pyramid.
[tex]\rm The \ perimeter \ of \ the \ base \ of \ a \right \ square \ pyramid = 4\times(side)[/tex]
[tex]\rm 24 = 4a\\\rm a=6 \ cm[/tex]
And h = 6 cm, putting this value in the above volume formula, wet get:
[tex]\rm V= (6)^2\times\frac{6}{3} \\\rm V= 36\times 2\\\rm V=72 \ cm^3[/tex]
Thus, the volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.
Learn more about the pyramid here:
https://brainly.com/question/1260835
slope of 1/2 and y-intercept is -5.
Answer:
Y= 1/2x-5
Step-by-step explanation:
John runs 6.5 miles in 30 minutes. If he continues at this rate for 1 hours, determine his rate of change .
Answer: 13 miles
Step-by-step explanation:
30 min plue 30 min is 1 hour
if he runs 6.5 in 30 you just have to add 6.5 and 6.5 which equals 13
