Answer:
The answer is option D
Step-by-step explanation:
32m + 56mp
First factor out the HCF out
The HCF of 32and 56 is 8
So we have
8 ( 4m + 7mp)
next factor m out
We have the final answer as
8m( 4 + 7p)Hope this helps you
what is 1 add 1 please help!!!!!!!!!!!!!!!PS first person to get it correct gets brainiest
Answer: 2
Step-by-step explanation:
Answer:
2...........
Step-by-step explanation:
1 + 1 = 2............
Can any kind soul help me
Answer:
a) 4.50m/s²
b) v= 21
c) 11.25m/s
Step-by-step explanation:
a) rate of change of speed in first 2 seconds
= gradient of graph from t=0s to t=2s
The two points are (0,0) and (2,9).
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Rate of change of speed
[tex] = \frac{9 - 0}{2 - 0} \\ = \frac{9}{2} \\ = 4.50m/ {s}^{2} [/tex]
Total distance= area under graph
Distance travelled for first 6s
= area of traingle +area of rectangle
= ½(2)(9) +(6-2)(9)
= 9 + 4(9)
= 9 +36
= 45m
Distance travelled from t=6s to t=12s
= 135 -45
= 90m
Area under graph from t=6s to t=12s =90
Area of trapezium= 90
½(A +B)(h)= 90
½(9+ v)(6)= 90
3(9 +v)= 90 (simplify)
9 +v= 30 (÷3 throughout)
v= 30 -9
v= 21
c) Average speed
= total distance ÷total time
= 135 ÷12
= 11.25 m/s
Example 2
A black die and a white die are thrown at the same
time. Display all the possible outcomes. Find the
probability of obtaining:
a) a total of 5
b) a total of 11
c) a 'two' on the black die and a six' on the white die.
It is convenient to display all the possible outcomes
on a grid. This is called a possibility diagram
It’s example 2 please help:)
Answer:
Total possible outcomes = 6×6 = 36
a) P(5) = 1/9
b) P(11) = 1/18
c) P(two and six) = 1/36
Step-by-step explanation:
A black die and a white die are thrown at the same time.
Each die has six sides so total possible outcomes are
Total possible outcomes = 6×6 = 36
The possible outcomes are given below:
(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)
a) Find the probability of obtaining a total of 5
Number of ways to get a total of 5 = (1, 4) (2, 3) (3, 2) (4, 1)
Number of ways to get a total of 5 = 4
The probability is given by
P = Number of desired outcomes/total number of outcomes
P(5) = 4/36
P(5) = 1/9
b) Find the probability of obtaining a total of 11
Number of ways to get a total of 11 = (5, 6) (6, 5)
Number of ways to get a total of 11 = 2
The probability is given by
P(11) = 2/36
P(11) = 1/18
c) a 'two' on the black die and a six' on the white die.
There is only one way to get a two on the black die.
Probability of obtaining a two on the black die = 1/6
There is only one way to get a six on the white die.
Probability of obtaining a six on the white die = 1/6
P(two and six) = 1/6×1/6
P(two and six) = 1/36
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
9/13
Step-by-step explanation:
rise = y₂ - y₁ = -1 - (-10) = -1 + 10 = 9
run = x₂ - x₁ = 9 - (-4) = 9 + 4 = 13
Step-by-step explanation:
What is the simplified form of -9x+3x
Answer:
-6x
Step-by-step explanation:
you can combine numbers with the same coefficient like any other number
Answer:
-6x
Step-by-step explanation:
It would be doing the same thing as -9 + 3, but without a variable.
Dax is buying coffee for 5 5 people in his office. He also leaves a $2.00 $ 2.00 tip for the barista. If his total, with tip, is $18.25, $ 18.25 , how much is each cup of coffee, not including the tip? Enter your answer as a decimal, like this: 42.53
Answer:
$3.25
Step-by-step explanation:
To get the price of one cup of coffee without including Dax's two dollar tip, the first step is to subtract 2 from 18.25.
18.25 - 2= 16.25
16.25 is price of the five cups of coffee that Dax bought without the two dollar tip. The final step is to get the price of one cup of coffee which is basically:
16.25 ÷ 5 = 3.25
The cost of each cup of coffee is $3.25.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
To get the price of one cup of coffee without including Dax's two-dollar tip, the first step is to subtract 2 from 18.25.
18.25 - 2= 16.25
16.25 is the price of the five cups of coffee that Dax bought without the two-dollar tip. The final step is to get the price of one cup of coffee which is basically:
16.25 ÷ 5 = $3.25
Hence, the cost will be $3.25.
To know more about an expression follow
https://brainly.com/question/28938662
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Write an equation for the line that is parallel to the given line and that passes through the given point. y=34x−9;(−8,−18)
Answer:
Step-by-step explanation:
eq. of line parallel to y=34x-9 is y=34 x+k
∵ it passes through (-8,-18)
∴-18=34×-8+k
k=-18+272
k=254
so reqd. eq. is y=34 x+272
I need someone to answer this immediately please. ... The area of a piece of land is 50cm square. Fi d the value of x, if the length
and breadth are given as (x+2) and (x-3)m respectively
options. A. 3
B. 5
C. 7
D. 8
Answer:
x=8
Step-by-step explanation:
Area is equal to
A = l * w
50 = ( x+2) ( x-3)
FOIL
50 = x^2 -3x+2x -6
Combine like terms
50 = x^2 -x -6
Subtract 50 from each side
0 = x^2 -x -56
Factor
What two numbers multiply to -56 and add to -1
-8*7 = -56
-8+7 = -1
0 = ( x-8) ( x+7)
Using the zero product property
x-8 =0 x+7 =0
x = 8 x=-7
Since the length cannot be negative x cannot be negative
x=8
Answer:
8
Step-by-step explanation:
put the 50 under area and continue with like that
Rearrange this formula Α= πr2 for the area of a circle to solve for r in-terms of A.
What is the new formula?
Answer:
sqrt( A / pi ) =r
Step-by-step explanation:
Α= pi r^2
Divide each side by pi
A / pi = r^2
Take the square root of each side
sqrt( A / pi ) = sqrt(r^2)
sqrt( A / pi ) =r
Answer: A/2pi = r
all you have to do is single out the r to get the new equation
One afternoon Anne leave her house and walk 5 blocks north to the post office then she walk 2 blocks north to the bank finally she walk 3 blocks south to the coffee shop were is the coffee shop relative to her house
Answer:
B
Step-by-step explanation:
Which of the following is NOT a trig function OR an inverse? a COT b TON c SIN d COS
Answer:
B
Step-by-step explanation:
A nice way to remember the normal trig functions and what they stand for is with SOH CAH TOA, where S represents the Sin, C represents the Cos, and T represents tan. Note: those are only abbreviations of the actual words.
I don't know a way to remember the names of the inverse trig functions, but they are Csc, sec, and cot.
Looking at all of the options, only TON does not fit the bill, so that's the answer.
Plz Which of these graphs represents a function?
Answer:
x.
Step-by-step explanation:
you know that x is a function because for one x-value there is only one possible y-value
Answer: X
Step-by-step explanation:
x because it doesn't fail the vertical line test
how would you solve #81?
En un colegio, dos séptimos de total de los estudiantes asisten al taller de escultura, un décimo al taller de guitarra y dos quintos al taller de computación. ¿Qué fracción del total de los estudiantes no asiste a estos talleres?
Answer:
3/14
Step-by-step explanation:
En esta pregunta, nos preocupa calcular la fracción de los estudiantes que no asisten a los talleres.
Para obtener la fracción que no asiste a los talleres, lo que debemos hacer es sumar las fracciones de cada uno de los talleres y restar el total de 1.
Matemáticamente eso sería;
1- (2/7 + 1/10 + 2/5)
Agregando los términos en el paréntesis, tenemos;
(20+ 7 + 28) / 70 = 55/70 = 11/14
Restando esto de 1, tenemos; 1-11 / 14 = 3/14
write the expression in radical form. (88c)^2/3
Answer:
[tex]\sqrt[3]{88c^{2} }[/tex]
Step-by-step explanation:
If we have a term to a fractional power, that’s the same as finding the denominator root of the number - if the numerator of the fraction isn’t 1, then the term itself inside the root sign becomes the term to the numerator power.
So - since the denominator of this fraction is 3, we find the cube root of 88c. Since the numerator is 2, we square 88c.
[tex]\sqrt[3]{88c^{2} }[/tex].
Hope this helped! (By the way, this was my 100th answer!)
Find the m∠CDE rjrsjrsrjr
Answer:
m∠CDE = 60°
Step-by-step explanation:
Given that the arc at the center = 2 times the arc at the circumference, we have;
Angle at the center = arc CE = 120°
Whereby the angle at the circumference is given as m∠CDE and it is opposite the circle arc CE
We note that m∠CDE is the acute angle between chord DC and DE
Therefore, we have;
Angle at the center = 120° = 2 times the arc at the circumference = 2 × m∠CDE
120° = 2 × m∠CDE
m∠CDE = 120/2 = 60°
Therefore the angle of m∠CDE is equal to 60°.
What is the vertex on the graph of the absolute-value parent function?
Answer:
The highest or the lowest point on the graph is the vertex of an absolute-value function!
Step-by-step explanation:
i. For any uniform probability distribution, the mean and standard deviation can be computed by knowing the maximum and minimum values of the random variable.
a) true
b) false
ii. In a uniform probability distribution, P(x) is constant between the distribution's minimum and maximum values.
a) true
b) false
iii. The uniform probability distribution's shape is a rectangle
a) true
b) false
Answer: I. True
II. True
III. True
Step-by-step explanation:
Uniform probability distributions, this are probability distributions which have equally likely outcomes. There are two known types of uniform distributions:
1. discrete
2. continuous.
In the first type of distribution, each outcome is discrete. In a continuous distribution, outcomes are continuous this means they are usually infinite.
find the coordinates of the point satisfying lying on x axis at a distance of 5 units to the right of x axis lying on y axis at a distance of 3 units below the orgin
Answer:
(5, -3)
Step-by-step explanation:
Coordinates are located on Cartesian planes (more like locating a point on a graph). Cartesian coordinates can be two dimensional or three dimensional in nature depending on the number of axis we are considering. For the question, the dimension of the required coordinate is 2-dimensional i.e (x,y).
On the Cartesian plane, we have the x axis along the horizontal plane and y axis along the vertical.
Note that positive values lies towards the right of the x-axis and also up the y-axis. The negative values lies towards the left of the x-axis and also down the y-axis.
According to the question, if a point is lying on x axis at a distance of 5 units to the right of x axis, then the value of x will be +5 i.e x = +5
Also, if a point lies on the y axis at a distance of 3 units below the origin, then the value of y will be -3 i.e y = -3.
Hence, the coordinates satisfying this points (x,y) is (5, -3)
Ans ASAP!! But one request can u give IN pic WITH steps?..... Plzlzlzlzlz?? 1rst one will be the BRAINLIEST.. But I want complete ans!
Answer:
The parts are 24 and 16
Step-by-step explanation:
Let's call the two parts x and y. We can write the following system:
x + y = 40 -- Equation 1
1/4x = 3/8y -- Equation 2
2x = 3y -- Equation 3 (Multiply Equation 2 by 8 to get rid of denominators)
2x + 2y = 80 -- Equation 4 (Multiply Equation 1 by 2)
3y + 2y = 80 -- (Substitute 2x = 3y into Equation 4)
5y = 80 -- (3y + 2y = 5y)
y = 16 -- (Divide by 5)
x + 16 = 40 -- (Substitute y = 16 into Equation 1)
x = 24 -- (Subtract 16)
expand the following (x+3)(x-3)
Answer:
x² - 9
Step-by-step explanation:
Given
(x + 3)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 3(x - 3) ← distribute both parenthesis
= x² - 3x + 3x - 9 ← collect like terms
= x² - 9
Answer:
x² - 9Step-by-step explanation:
[tex](x + 3)(x - 3)[/tex]
Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )
[tex]x(x - 3) + 3(x - 3)[/tex]
Calculate the product
[tex] {x}^{2} - 3x + 3x - 3 \times 3[/tex]
Multiply the numbers
[tex] {x}^{2} - 3x + 3x - 9[/tex]
Since two opposites add up to zero, remove them from the expression
[tex] {x}^{2} - 9[/tex]
Hope this helps..
Best regards!!
An annual salary is $45000. His tax free allowances total $13000. He has to pay a tax of 20% on his taxable income.
The tax payable is?
Answer:
6400
Step-by-step explanation:
Taxable amount=45000-13000=32000
tax=32000*20/100
=6400
Brock wants to compete for the featherweight boxing title, but the upper limit for that weight class is 126 pounds. He currently weighs 134 pounds. Brock can lose 3 pounds per day if he does vigorous workouts. The number of days, d, that Brock will need to work out to compete at the featherweight level is represented by the inequality 134 – 3d < 126. Select the fewest number of days he would have to work out to compete at the featherweight level. A. 1 B. 2 C. 3 D. 4 E. 5
Answer:
C. 3
Step-by-step explanation:
Brock weighs 134 pounds, he will lose 3 pounds a day until he is 126 pounds
D will represent the number of days he will work out.
134 - 3d < 126
134 - 3(3) < 126
134 - 9 = 125
125 < 126
3 days
We can say that Brock needs to workout for minimum 3 days to compete at feather weight level.
A doctor recommends a two-step process to treat a rare form of pancreatic cancer. The first method is successful 80% of the time. If the first method is successful, the second method is successful 90% of the time. If the first treatment is not a success, the second is 25% of the time. What is the probability that both treatments are unsuccessful?
Answer:
The answer is 15%.
Step-by-step explanation:
The probability that:
Both treatments are successful:80% x 90% = 72%
The first method is a success, but the second one is not:80% x (1 - 90%) = 8%
The first method is not successful, but the second one is:(1 - 80%) x 25% = 5%
Both treatments are unsuccessful:1 - (72% + 8% + 5%) = 15%
A game is played with a played pentagonal spinner with sides marked 1 to 5. The scorer is on the side which comes to rest on the table. In two spins what is the probability of getting two 5s, at least one 5, a total score of 5, a total score greater than 5.
Answer:
There are four possible outcomes for each spin: red, blue, yellow, green.
Help please!Thank you
Answer:
f. 85
Step-by-step explanation:
All triangles add up to 180 degrees
BCE=25
then you need to find DBC, you can do that since ABD is isocilies that means all sides are equal in length and angle so 180 divided by 3 (number of side) is 60
isoceles triangle have 2 sides that are equiangular, cince we know BCA is 25 we also know BAC is 25, leaving angle ABC to be 130 (180-50=130)
we subtract angle ABD from angle ABC to get angle DBC, leaving angle DBC to equal 70 degrees
since 70 (angle DBC) + 25 (Angel BCA)= 95
we just subtrract 95 from 180 to get the answer 85 (:
Answer:
85 degrees
Step-by-step explanation:
if Δ ABD is equilateral then the 3 sides and three angles are equal
sum of angles of Δ=180
180/3=60 degrees (∠A,∠B,∠D)
ΔBCA is isosceles then the two angles A and C are equal = 25
∠B=180-50=130
∠B in Δ BEC=130-60=70
∠E+∠B+∠C in Δ BEC=180
∠E= 180-70-25=85 degrees
express each of the following decimal number in the p/q form (1)0.5 (2)3.8
Answer:
see explanation
Step-by-step explanation:
(1)
0.5 = [tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]
(2)
3.8 = 3 [tex]\frac{8}{10}[/tex] = [tex]\frac{10(3)+8}{10}[/tex] = [tex]\frac{30+8}{10}[/tex] = [tex]\frac{38}{10}[/tex] = [tex]\frac{19}{5}[/tex]
2^2(3-8)÷5-1 please help
Answer:
-5
Step-by-step explanation:
2^2*(3-8)÷5-1
4*(-5)÷4
-20÷4
=-5
Answer:
-5
Step-by-step explanation:
Firstly 2^2=4, 4(3-8)=4*(-5)= -20, -20/5 -1= -4-1= -5
Maya is interning at a law firm over the summer and is paid by the hour. If her hourly wage is $52, which equation represents the proportional relationship between the wages she earns (w) and the number of hours (h)?
Answer: w= 52h
Step-by-step explanation:
Given: Maya is interning at a law firm over the summer and is paid by the hour.
Her hourly pay = $52
i.e. She is paid $52 per hour.
Let the wages she earns is denoted by 'w' and the number of hours is denoted by 'h'.
Now, (Total wages earned) = (hourly pay) x (Number of hours)
w = (52) (h)
⇒ w= 52h
Hence, the equation represents the proportional relationship between the wages she earns (w) and the number of hours (h): w= 52h
Answer:52h
Step-by-step explanation: tried got it right
Figure ABCD is a parallelogram. Parallelogram A B C D is shown. Angle A is (4 p + 12) degrees and angle C is 36 degrees. What is the value of p? 6
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
i checked on edge