Answer: slope is 1
y- intercept =5
x-0,1
y- 5,6
Step-by-step explanation:
This equation is written in y = mx + b form where the m represents
the slope of the line and the b represents the y-intercept.
The equation y = x + 5 can be thought of as [tex]y = \frac{1x}{1} + 5[/tex].
So we can see that our slope is 1.
Two fair dice are rolled 3 times and the sums of the numbers that come up is recorded. Find the probability of these events. A) the sum 10 on each of the three rolls? B) the sum is 10 exactly twice in three rolls?
Answer:
A) P(10 on three rolls) = 1/1728 = 0.0005787
B) P(10 in two of three rolls) = 11/1728 = 0.0063657
Step-by-step explanation:
Each die has 6 possible values, so a pair of dice have a total of 6*6=36 outcomes.
To find a sum of 10, the cases are:
(4,6), (5,5) and (6,4).
So to have a sum of 10 we have 3 cases among the 36 possible, therefore the probability is:
P(10) = 3/36 = 1/12
A)
If we want the sum of 10 in each of the three rolls, the probability is:
P(10 on three rolls) = P(10)^3 = (1/12)^3 = 1/1728 = 0.0005787
B)
If the sum is 10 in two of three rolls, in one roll we need the probability of the sum not being 10:
P(not 10) = 1 - P(10) = 1 - (1/12) = 11/12
So we have:
P(10 in two of three rolls) = P(10)^2 * P(not 10) = (1/12)^2 * (11/12)
P(10 in two of three rolls) = 11/1728 = 0.0063657
Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represents the total cost and h represents the hours worked. Use pencil and paper to create a table of values for hours worked from 1 to 5, incrementing h by 1 in each row.
Answer:
1 hour : 15 dollars
2 hours: 20 dollars
3 hours: 25 dollars
4 hours: 30 dollars
5 hours: 35 dollars
Step-by-step explanation:
Substitute the hour number in for h and solve. for example, if you were trying to find 5 hours, you would produce the equation c = 5(5) + 10. once you solve that you get c = 25 + 10 which is also c = 35.
solved in addition and use multiplication!! PLEASE HELP ASAP!
Answer:
First by 3, second by -2.
Step-by-step explanation:
You need to get the x-factor to the smallest common multiple of 4 and 6, which is 12.
But also, if you add both, they should cancel out the x term, i.e.,:
-12x + 12x = 0
You get that by multiplying by 3 and -2, respectively.
On Friday, Mica has $22.50 in her bank account. Mica goes to the market to get groceries for the week and ends up spending more than planned. When Mica checks her account, she now has a balance of $-48.15. How much money did Mica spend at the market?
Answer: $70.65
Step-by-step explanation:
From the question, we are informed that Mica has $22.50 in her bank account and then she goes to the market to get groceries for the week and ends up spending more than planned. She later checks her account and found out that she now has a balance of $-48.15.
To get the amount of money that Mica spent at the market, we subtract her balance from the opening balance she had in her bank account. This will be:
= $22.50 - (-$48.15)
= $22.50 + $48.15
= $70.65
Mics spent $70.65 at the market.
PLZ HELP 10POINTS EASY HELP!!!!!!!!!!
Answer:
2nd no is corret
Step-by-step explanation:
as altitude is defined as a st. line meeting its base forming 90degree angle.
Answer:
I think the second answer, JH is an altitude of GJI, is the correct answer.
Step-by-step explanation:
Having JH be an altitude of GJI means that it makes a 90 degree angle. And to prove that it's a 90 degree angle we look at where it has the little squares. The squares represent 90 degrees.
Hope this helps!
Enter values to complete the table below.
Answer: The answers are in the steps
Step-by-step explanation:
x y value of y/x
-3 -3 1
1 1 1
3 3 1
The upper-left coordinates on a rectangle are (-5, 6), and the upper-right coordinates are (-2, 6). The rectangle has a perimeter of 16 units. Draw the rectangle on the coordinate plane below.
Answer:
Step-by-step explanation:
Given the upper-left coordinates on a rectangle as (-5, 6), and the upper-right coordinates as (-2, 6), the distance between the two coordinates will be equal to the length of one side of the rectangle. Using the formula for calculating the distance between two points as shown;
D = √(x2-x1)²+(y2-y1)²
The the upper left coordinates be A (-5, 6) and the upper right coordinates be B(-2, 6).
AB = √(-2-(-5))²+(6-6)²
AB = √(-2+5)²
AB = √3²
AB = 3 units = Breadth of the rectangle
Give the perimeter of the rectangle to be 16 units, we can get the length of the rectangle using the formula;
Perimeter of a rectangle = 2(L+B)
16 = 2(3+L)
16 = 6+2L
10 = 2L
L = 5units
The length of the triangle is 5units
Find the diagram of the rectangle on the coordinate plane in the attachment below.
Use long division to find the quotient below.
(4x3 + 2x2 + 50) / (2x+5)
The quotient of the equation 4x³ + 2x² + 50 ÷ 2x + 5 using long division method is 2x² - 4x
Long division4x³ + 2x² + 50 ÷ 2x + 5
[tex] \sqrt[2x + 5]{ {4x}^{3} + {2x}^{2} + 50 } [/tex]
2x² - 4x
_____________
= 2x + 5 | 4x³ + 2x² + 50
4x³ + 10x²
__________
- 8x² + 50
-8x² - 10
__________
40
Therefore,
the quotient is 2x² - 4xThe remainder is 40Learn more about long division:
https://brainly.com/question/25289437
#SPJ1
If you give me proper answer then you will get 14 points.and brainiest.
Answer:
Answers are in the file.
Step-by-step explanation:
For each and every equation I plugged in whatever it told me x would equal and I used it to solve the equations.
does the equation y = 4(5.6)^x represent exponential decay or exponential growth?
Answer:
growth
Step-by-step explanation:
Exponential equations are in the form
y = a * b^x
a is the initial value
b is the growth or decay
b>1 is growth b-1 rate of growth
b <1 decay 1-b rate of decay
y = 4(5.6)^x
5.6 is greater than 1 so it is growth
You are getting on an elevator that is already filled with several people. You wonder if your weight will put the elevator over the maximum weight limit. You know that your weight is 132 pounds. In the equation below, p is the weight of all the people already on the elevator, and t is the total weight inside the elevator after you get on. The relationship between these two variables can be expressed by the following equation: t=p+132. What is the dependent variable?
A.The total weight inside the elevator after you get on.
B.The weight of all the people already on the elevator.
Answer:
A
Step-by-step explanation:
T is the dependent variable
a dependent variable means it depends on something so if a number changes it will change the end result for T.
T is dependent on P since if the weight on the elevator changes the total weight will change. That is what makes it dependent.
Answer:
They are both dependent variables.
Step-by-step explanation:
I did this on Khan Academy and it worked.
Water flows through a pipe at a rate of 10 fluid ounces per day. Express this rate of flow in pints per month.
Answer: 18.75 pints per month
Step-by-step explanation:
I need help!!!
Use the rational zero theorem, which of the following could not be a rational zero of: 6x^5+ax^3=bx+12? 1/2 -3/4 -2
Answer: x = -3/4 can not be a rational zero of the polynomial.
Step-by-step explanation:
We have the polynomial:
6x^5 + ax^3 -bx -12 = 0.
The theorem says that:
If P(x) is a polynomial with integer coefficients, and p/q is a zero of P(x) then p is a factor of the constant term (in this case the constant term is -12) and q is a factor of the leading coefficient (in this case the leading coefficient is 6.).
The factors of -12 (different than itself) are (independent of the sign).
1, 2, 3, 4 and 6.
So p can be: 1, -1, 2, -2, 3, -3, 4, -4, 6, -6.
The factors of 6 are:
1, 2 and 3, so q can be 1, -1, 2, -2, 3, -3.
Then the option that can not be a zero of the polynomial is
x = -3/4
because the number in the denominator must be a factor of the leading coefficient, and 4 is not a factor of six.
PLEASE HELP ASAP WITH MATH
Answer:
t =5
g = 15
Step-by-step explanation:
t = tennis balls
g = golf balls
70 = 5t+3g
85 = 2t+5g
Multiply the first equation by -2
-2(70 = 5t+3g)
-140 = -10t -6g
Multiply the second equation by 5
5(85 = 2t+5g)
425 = 10t + 25g
Add these new equation together to eliminate t
-140 = -10t -6g
425 = 10t + 25g
-------------------------------
285=0t+19g
Divide by 19
285/19 = g
15 = g
Now find t
85 = 2t+5g
85 = 2t +5(15)
85 = 2t + 75
10= 2t
t =5
Let the cost of a can of tennis balls be $x and that of a sleeve of golf balls be $y.
5x + 3y = 70
2x + 5y = 85
(5x + 3y) x 2 = 70 x 2
10x + 6y = 140
(2x + 5y) x 5 = 85 x 5
10x + 25y = 425
10x + 25y -10x - 6y = 425 - 140
19y = 285
y = 15
2x + 5y = 85
2x + 75 = 85
2x = 10
x = 5
Therefore the cost of a sleeve of golf balls is $15 and that of a can of tennis balls is $5.
Diana serves 8 kg of fried rice for 12 persons. How many persons can eat 20 kg of
fried rice?
Answer:
30 persons
Step-by-step explanation:
Let's create a proportion using the following setup:
persons/rice=persons/rice
We know that 12 persons can eat 8 kilograms of fried rice.
12 persons/ 8 kg of rice= persons/rice
We also know that x (unknown) persons can eat 20 kilograms of fried rice.
12 persons/ 8 kg of rice= x persons/ 20 kg of rice
12/8=x/20
x is being divided by 20. The inverse of division is multiplication. Multiply both sides of the equation by 20.
20(12/8)=(x/20)20
20*12/8=x
20*1.5=x
30=x
30 persons can eat 20 kilograms of fried rice.
Answer:
30 people
Step-by-step explanation:
1) Set up a proportion, 8kg/12 = 20kg/x
2) Do cross multiplication to solve for x
3) x = 30 people
Please answer this question now in two minutes
Answer:
Step-by-step explanation:
m=[tex](5,\frac{25}{4} )[/tex]
midpoint line between A and B
The midpoint is halfway between the two end points:
Its x value is halfway between the two x values
Its y value is halfway between the two y values
f(x)=x^3-2x^2-11x+12 r theorem to find the x-intercepts of the function, and plot their x-values on the number line.
Answer:
x intercepts are : (1,0)(4,0),(-3,0)
Step-by-step explanation:
x intercepts are : (1,0)(4,0),(-3,0)
plot only the x values
hope it helps
What's the correct answer to this? Please help..
Answer: C
Step-by-step explanation:
Simplify(Subtract 2)
x > 0
Greater than is represented by a open circle with an arrow pointing right. Because x is greater than 0, the point must be on 0.
Hope it helps <3
Answer:
C
Step-by-step explanation:
The inequality is x+2 > 2
x+2 >2 substract 2 from each side x+2-2 > 2-2x > 0x > 0 means that x is positive
so the graph must start from 0 and then should grow towrd the positive value
since we have x > 0 then 0 should be excluded
the graph that fits our solution is c where 0 is excluded
The solutions to 2x2 + 8x + 4 = 0 are x = -87,32. Choose the simplified form
of these solutions.
Answer: D
Step-by-step explanation:
Answer:
the answer is "C"
Step-by-step explanation:
i just took the test
Em determinada loja, o lucro obtido pela venda de x fones de ouvido, em reais, pode ser representado pela expressão algébrica 7x-17. Qual será o lucro obtido por essa loja se forem vendidos 13 fones de ouvido?
Answer:
74 reais
Step-by-step explanation:
Em uma determinada loja, o lucro obtido com a venda de fones de ouvido x, em reais, pode ser representado pela expressão algébrica 7x-17. Quanto lucro esta loja terá se vender 13 fones de ouvido?
O lucro é representado como 7x - 17
onde x = número de fones de ouvido vendidos
Se 13 fones de ouvido foram vendidos, o lucro será:
(7 * 13) - 17
= 91 - 17
= 74 reais
What is g(x)?
A. g(x) = -2
B. g(x) = -x
C. g(x) = -|x|
D. g(x) = -x^2
Answer:
A. g(x) = -2^x.
Step-by-step explanation:
If g(x) = -2, it would be a straight line running horizontally.
If g(x) = -x, it would be a linear equation.
If g(x) = -|x|, it would be an absolute value function, which is a graph in a v-shape.
So, the remaining answer is that A. g(x) = -2^x.
Hope this helps!
Its A, [tex]-2^x[/tex].
For inputs x you can find corresponding y-values on the graph of function:
[tex]x=1\implies y=-2^1=-2[/tex]
[tex]x=2\implies y=-2^2=-4[/tex]
[tex]x=3\implies y=-2^3=-8[/tex]
.
.
.
Hope this helps.
WILL GIVE BRAINLIEST. PLEASE HELP. In order to inscribe a circle in a triangle, the circle's center must be placed at the incenter of the triangle. True or false?
Answer:
True
Step-by-step explanation:
In order to inscribe a circle in a triangle, the circle's center must be placed at the in center of the triangle, is true. the in center also is a point where the bisectors of the angles meet.
The price of apples at three different stores is shown below. Store R sells apples for $1.20 per pound. Store S sells 4 pounds of apples for $5.00. Store T sells 3 pounds of apples for $3.48. which of these is a true statemnt
Answer:
Store T sells apples at the lowest rate
$1.16
Step-by-step explanation:
which of these is a true statemnt
Store R sells apples at the lowest rate
Store T sells apples at the lowest rate
Store s charges a lower rate than Store T
Store t charges the same rate as Store R
Given:
Store R= $1.20 per pound
Store S =$5.00 for 4 pounds
Store T=$3.48 for 3 pounds
Find the price of apple per pound
Store R=1.20 per pound of Apple
Store S=$5.00/4
=$1.25 per pound of Apple
Store T=$3.48/3 pounds
=$1.16 per pound of Apple
From the statements above,
Store T sells apples at the lowest rate
Is [tex]\frac{\pi }{2}[/tex] irrational or rational, include explanation
It would be irrational.
Reasoning:
A rational number is any number that can be expressed as a fraction of two integers provided that the denominator is not zero.
π is an irrational number because its approxiamation is [tex]\frac{22}{7}[/tex] is not the exact value of π. Additionally, we know that the quotient of irrational numbers can be rational or irrational. Here is the case where we have [tex]\frac{\pi }{2}[/tex], an irrational number divided by a rational number giving a quotient that is irrational.
Answer: irrational
Step-by-step explanation:
Apart from multiplying by 0 or dividing by pi, nothing can make pi rational. pi/2 is the same thing as 1/2pi, which is irrational, because it cannot be simplified into a repeating or terminating decimal
help i will give brainliest
Answer:
93°Step-by-step explanation:
[tex]\dfrac{|AC|}{\sin B}=\dfrac{|AB|}{\sin C}\\\\\dfrac{9}{\sin38^o}=\dfrac{11}{\sin C}\\\\\dfrac{\sin38^o}9=\dfrac{\sin C}{11}\\\\\sin C=\frac{11}9\sin38^o =\frac{11}9\cdot0,6157=0,7525(2)\\\\\sin C\approx0,7525\quad\iff\quad |\angle C|\approx48^o48'\\\\|\angle A|=180^o-|\angle B|-|\angle C|\\\\|\angle A|=180^o-38^o-48^o48'\\\\|\angle A|=93^o12'\approx93^o[/tex]
This is a cross-sectional view of candy bar ABC. A candy company wants to create a cylindrical container for candy bar ABC so that it is circumscribed about the candy bar. If segment AD = 4 cm, what is the smallest diameter of wrapper that will fit the candy bar? Triangle ABC in which point E is between points A and B, point D is between points A and C, point F is between points B and C, segments AE and EB are congruent, segments BF and FC are congruent, and angles AED, ABF, and DFC are right angles.
Answer:
8 cm
Step-by-step explanation:
When a right triangle is circumscribed in a circle, the diameter is the hypotenuse AC.
Therefore, the smallest diameter of the wrapper will be that of the circle whose diameter has endpoints of A and C.
From the diagram:
AE=DFED=FCTherefore, Triangle AED is congruent to Triangle DFC and in fact AD=DC.
Given: AD =4 cm
Therefore, the smallest diameter
AC=AD+DC
=4+4
=8 cm
Find the geometric mean of 4 and 18.
Answer:
6√2
Step-by-step explanation:
Gm = √a×b
= √4×18
= √72
= √36×2
= √6²×2
= 6√2
A pack of cards is numbered 1 to 24. A card is chosen at random. Find the probability that the number on the card is divisible by 2 or 3
Answer:
Step-by-step explanation:
It's simple. So the only cards which are divisible by 2 or 3 are: 2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24. The formula of probability is P= m/n. Where m-Number of ways it can happen and n- Total number of outcomes.
Our answer is P= 16/24=2/3=66,66%
On a coordinate plane, a straight red line with a negative slope, labeled g of x, crosses the y-axis at (0, negative 7). A straight blue line with a positive slope, labeled f of x, crosses the x-axis at (negative 1, 0) and the y-axis at (0, 2). Both lines intersect at (negative 3, negative 4). Which statement is true regarding the functions on the graph? f(–3) = g(–4) f(–4) = g(–3) f(–3) = g(–3) f(–4) = g(–4)
Answer:
f(-3) = g(-3)
Step-by-step explanation:
We know that f(x) = g(x) where the two graphs intersect
f(-3) = g(-3)
Answer:
f(-3) = g(-3)
Step-by-step explanation:
did on edguniuty
A jar consists of blue, red and green marbles. The probability of each of them is 2/7 , 3/k and 5/2k. Find the value of k.
Answer:
k = 77/10
Step-by-step explanation:
The jar consist of blue, red and green marbles . The probability of each of them can be described as follows.
probability of blue marbles = 2/7
probability of red marbles = 3/k
probability of green marbles = 5/2k
The sum of the individual probability is equals to 1. Therefore,
2/7 + 3/k + 5/2k = 1
collect like terms
(6 + 5)/2k = 1 - 2/7
11/2k =(7 - 2) /7
11/2k = 5/7
cross multiply
10k = 77
divide both sides by 10
k = 77/10