Answer:
8. The y-intercept represents the 14 inches of snow 0 hours after midnight.
9. The slope indicates that the snow level increases 2 inches for every hour that passes after midnight.
10. 30 inches
Step-by-step explanation:
8. given in the text
9. given in the text
10.
[tex]y=2x+14[/tex]
[tex]y=2(8)+14[/tex]
[tex]y=30[/tex]
The difference of two timber’s is 8. When twice the first number is added to three times the second number, the result is 51. What are the two numbers?
Answer:
First number:15
Second number: 7
Step-by-step explanation:
To find the 2 numbers, we can use system of equations.
Let's use x for the first number and y for the second number. Our first equation would be:
x-y=8
This equation comes from the first sentence: the difference of the 2 numbers is 8. The second equation would be
2x+3y=51
This equation comes from the second part of the question.
We can use elimination method to find x and y.
x-y=8
2x+3y=51
Let's eliminate x. To do so, the x in both equations must be equal to each other. Since one is x and another is 2x, we must multiply the first equation by 2 to get the same x.
2x-2y=16
2x+3y=51
Now that the x are the same, we can subtract the equations.
-5y=-35
y=7
With our y value, we can find x by plugging y into any of the equations.
x-7=8
x=15
Since we found our x and y, the first number is 15 and the second number is 7.
If f(x)=3x^2and g(x) =x+2 find (f •g)(x)
Answer:
3x^2+12x+12
Step-by-step explanation:
i think you just sub in x+2 into 3x^2
Point P partitions the directed segment from A to B into 1:3 ratio. Q partitions the directed segment from B to A into a 1:3 ratio. Are P and Q the same point? Why or why not?
Answer:
Point Q is further from A than point P, therefore, they are not the same point
Step-by-step explanation:
The given information are;
Point P partitions the directed segment from A → B into the ratio of 1:3
Point Q partitions the directed segment from B → A into the ratio of 1:3
We note that the properties of a directed segment are that it has a length and direction with a defined starting or initial point.
Hence the two segments when arranged in the same direction are;
A B and B A
Hence point P is at a the point 1/(1 + 3) or 1/4 of AB or 1/4 times the length of AB from A
Point Q is at a the point 1/4 of B/A or 1/4 times the length of AB from B which is 3/4 times the length of AB from A
Therefore, point Q is further from A than point P which means they are not the same point.
Answer:
No, P is One-fourth the distance from A to B, and Q is One-fourth the distance from B to A.
Step-by-step explanation:
a 4cm by 6cm rectangle sits inside a circle with a radius of 11 cm what is the shaded region
Answer:
355.94 cm2
Step-by-step explanation:
if it is the area of the shaded part, you have to find the area of rectangle and the area of the circle, then subtract the rectangle's area from the circle's.
area of circle = 3.14( i used this π because the radius is not divisible by 7) × 11 × 11 = 379.94.
area of rectangle = 6 × 4 = 24cm
379.94 - 24.00 = 355.94cm2.
Simplify
4a x 6a^5
8a^2
It is a fraction
Answer:
[tex] = 3 {a}^{4} [/tex]
Step-by-step explanation:
[tex] \frac{4a \times 6 {a}^{5} }{8 {a}^{2} } \\ = \frac{24 {a}^{1 + 5} }{8 {a}^{6} } \\ = \frac{24 {a}^{6} }{8 {a}^{2} } \\ = 3 {a}^{6 - 2} \\ = 3 {a}^{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The right answer is 3a^4
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
the lines below are perpendicular. If the slope of the green line is 3/2, what is the slope of the red line?
A. 2/3
B. -2/3
C. -3/2
D. 3/2
Answer:
-2/3
Step-by-step explanation:
Perpendicular slopes have lines that multiply to -1
m* 3/2 = -1
Multiply each side by 2/3
m* 3/2 * 2/3 = -1 * 2/3
m = -2/3
The slope of the perpendicular line is -2/3
Answer:
The answer is B
I use an online graphing calculator called Desmos. You should check it out some time :)
Solve the inequality.
Answer:
the first one, v < 1 23/25
Step-by-step explanation:
multiply both sides by 6 and divide by 5
v < 48/25, or v < 1 23/25
Answer:
v < 1 23/25
Step-by-step explanation:
5/6 v < 8/5
Multiply each side by 6/5
6/5*5/6 v < 8/5*6/5
v < 48/25
Rewrite as a mixed number
v < 1 23/25
URGENT!!LAST 3 QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!!
1. If a triangle has two angles that measure 57 and 94 degrees, what is the measure of the third angle?
A) 29°
B) 37°
C) 57°
D) 33°
FIND X ( FIRST IMAGE) A) 21.125 B) 7 C) 22.5 What is the measure of angle EGH? SECOND IMAGE A) 26° B) 102° C) 38°
Answer:
1. A
2. B
3. B
Step-by-step explanation:
1. 180+57-94= 29
2. 4x + 7 + 97 + 180 - 17x - 13 = 180
-13x = -91
x = 7
3. 180 - 64-38 = 78
180-78 =. 102
Answer:
A) 29°
B) 7°
B) 102°
Step-by-step explanation:
1. ------------------------
sum of angles= 180°missing angle= 180°-57°-94°= 29°2. ------------------------
4x+7°+97°=17x+13°13x=91°x=7°B) 7°3. ------------------------
EGH=GEH+EFGEGH=64°+38°=102°B) 102°Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
[tex]y = \frac{5}{2} x^{2}[/tex]
Step-by-step explanation:
When you scale a parabola vertically, you multiply the [tex]x^{2}[/tex] by what you are scaling it vertically by.
For example, say you have [tex]y = 8x^{2}[/tex]. That means that [tex]y = x^{2}[/tex] was scaled vertically by a factor of 8.
I hope this helps!
If you borrow $300 for 14 years at
an annual interest rate of 4%, how
much will you pay altogether?
Answer:
$468
Step-by-step explanation:
I = P*R*T
I = 300*0.04*14
I = 168
168 + 300 = 468
not sure what this one is
Answer:
37
Step-by-step explanation:
If this is a regular hexagon, the sides have the same length
3y +19 = 6y+1
Subtract 3y from each side
3y+19-3y = 6y-3y+1
19 = 3y+1
Subtract 1 from each side
19-1 = 3y+1-1
18 = 3y
Divide each side by 3
18/3 = 3y/3
6 =y
ST = 6y+1
=6*6+1
=36+1
= 37
Answer:
37 units
Step-by-step explanation:
sides are equal
3y+19=6y+1
3y= 18
y= 6
3y+19= 3*6+19= 37
QR=ST= 37 units
solve for x
8x+1=-71
Answer:
-9
Step-by-step explanation:
8x + 1 = -71
8x = -72
x = -9
Answer:
x = -9.
Step-by-step explanation:
8x + 1 = -71 Subtract 1 from both sides:
8x + 1 - 1 = -71 - 1
8x = -72
x = -72/8
x = -9.
Anyone know the answer ASAP please
Answer:
x= -9/4 or -3
second one is x=5/6 or -8
Answer:
see explanation
Step-by-step explanation:
Given
4x² + 21x + 27 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 4 × 27 = 108 and sum = 21
The factors are 12 and 9
Use the factors to split the x- term
4x² + 12x + 9x + 27 = 0 ( factor the first/second and third/fourth terms )
4x(x + 3) + 9(x + 3) = 0 ← factor out (x + 3) from each term
(x + 3)(4x + 9) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
4x + 9 = 0 ⇒ 4x = - 9 ⇒ x = - 2.25
--------------------------------------------------------------------
Following the same method as the previous question
Given
6x² + 43x - 40 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × - 40 = - 240 and sum = + 43
The factors are + 48 and - 5, thus
6x² + 48x - 5x - 40 = 0
6x(x + 8) - 5(x + 8) = 0
(x + 8)(6x - 5) = 0
x + 8 = 0 ⇒ x = - 8
6x - 5 = 0 ⇒ 6x = 5 ⇒ x = [tex]\frac{5}{6}[/tex]
determine whether the system of linear equations has one solution, infinitely many solutions, or no solutions. Explain your reasoning. y=4x+6, 2y=8x+12
Answer:
Infinitely many solutions
Step-by-step explanation:
Since you already have y isolated in one equation, you can plug it in and use it in the other equation
2y = 8x + 12
2(4x + 6) = 8x + 12
8x + 12 = 8x + 12
Get the x's to one side
12 = 12
Meaning you have infinitely many solutions.
Try plugging in any x value you can think of and the left side will always equal the right side. so
x = 0 --> 8(0) + 12 = 8(0) + 12
12 =12
x = 1 --> 8(1) + 12 = 8(1) + 12
20 = 20
and so on.
I graphed it here for you and the 2 functions are on top of each other which means at every x value y = 4x + 6 is equal to 2y = 8x + 12
Please answer correctly !!!!!!!! Will
Mark brainliest !!!!!!!!!!!
Answer: Z²+ 9Z + 8
Step-by-step explanation:
You take the two z's and times them to get Z² then you do the Z times 1 to get 1Z then you do the Z times 8 to get 8Z then you take the 8 times 1 and get 8 so then you add the like terms. You add 1Z and 8Z and you get 9Z. The you put it in standard form to get Z²+9Z+8
no jk drtyguhiytr5tyguhigyft fyguhijk
Answer:
1232
Step-by-step explanation:
13/91= 176/x
1/7=176/x
x= 176*7
x= 1232 bass
what is the measure of B
Answer:
m<B = 44
Step-by-step explanation:
Since AB is a diameter, then angle C is a right angle.
That makes angles A and B complementary angles.
m<A + m<B = 90
46 + m<B = 90
m<B = 44
Answer:
B = 44
Step-by-step explanation:
The sum of the angles of a triangle is 180
A + B+ C = 180
<C = 90 since it is 1/2 of the intercepted arc which is 180
46+ B + 90 = 180
136 + B = 180
B = 180-136
B =44
Which is equivalent to v10 3/4?
Answer:
d) [tex](\sqrt[8]{(10} )^{3 x}[/tex]
Step-by-step explanation:
Step(i):-
Given [tex](\sqrt{10} )^{\frac{3 x}{4} }[/tex]
we will use formula
[tex](a)^{m n} = (a^{m} )^{n}[/tex]
[tex](\sqrt{10} )^{\frac{3 x}{4} } =( (10)^{\frac{1}{2} } )^{\frac{3 x}{4} }[/tex]
= [tex]( (10)^{\frac{1}{2} X\frac{3 x}{4} } )[/tex]
= [tex]( (10)^{\frac{3 x}{8} } )[/tex]
= [tex]((10)^{\frac{1}{8} } )^{3x}[/tex]
Step(ii):-
we will apply [tex](a)^{\frac{1}{n} } = \sqrt[n]{a}[/tex]
= [tex](\sqrt[8]{(10} )^{3 x}[/tex]
The development of technology _____________.
a. has no effect on the environment
b. depends on people’s needs
c. depends only on our imagination
d. depends on what is learned in school
Answer:
B
Step-by-step explanation:
PLZ HELP ME W DIS ASAP!!! MARKING BRAINIEST!!!
Answer:
x = ±11
Step-by-step explanation:
x^2 = 121
Take the square root of each side
sqrt(x^2) = ±sqrt(121)
x = ±11
The measure of c is?
[tex]answer \\ \sqrt{208} \\ solution \\ hypotenuse = c \\ perpendicular = 8 \\ base = 12 \\ using \: pythagoras \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {c}^{2} = {8}^{2} + {12}^{2} \\ or \: {c }^{2} = 64 + 144 \\ or \: {c}^{2} = 208 \\ c = \sqrt{208} \\ hope \: it \: helps[/tex]
Is the figure a translation?
Answer: yes
Step-by-step explanation: A translation is a transformation that slides a figure to a new position.
So in this problem, notice that we can slide the triangle on the top to the position of the triangle on the bottom.
So, this represents a translation.
Please help someone help me! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation
Cluster- a group of points that close together
symmetry- data is balanced on opposite sides of a point or line
spread- how close or far apart the values are in a data set
center- the middle of a data set
gap- a space between data values
You are considering a certain telephone company. They charge $0.17 per minute of talking, plus a fixed base monthly fee of $40 . If M represents the number of minutes you talk in a month, and C is the total monthly charge, which of these is the correct relationship between M and C ?
Answer:
C = 40 + 0.17M
Step-by-step explanation:
Total monthly charge = Fixed base fee + charge per minute*total number of minutes
C = 40 + 0.17*M
C = 40 + 0.17M
Dymin had a lot of boxes ready for moving. She went out and
bought seven more boxes. A week later her little brother
destroyed half of them. There are now only 22 boxes left.
How many did she start with?
Answer:
37 boxes
Step-by-step explanation:
At first, Dymin had some boxes. Let x be the starting number of boxes.
Then, she bought 7 more boxes. Let y be the new number of boxes that she had.
y = x + 7
Next, her little brother destroyed half of them. It means half of y. So, the number of boxes left is
Number of boxes = y/2
The number of the boxes left is 22 boxes. Then, we can use the equation above.
Number of boxes = 22
y/2 = 22
Substitute y = x + 7 into the equation.
(x + 7)/2 = 22
x + 7 = 44
x = 44 - 7
x = 37
Thus, Dymin has 37 boxes at first.
a theatre ticket costs £63 plus a booking fee of 3%.
what is the total price of the ticket?
Answer:
64.89£
Step-by-step explanation:
Given:
Theater ticket costs £63
Booking fee: 3% of original price
Solve for:
Total price of ticket
Solution:
Step 1: Select relevant procedure
The total price including the booking fee, then before working out the total price, the booking fee should be calculated.
Step 2: Perform the calculation
The booking fee of ticket is calculated by:
BF = 3% of £63 or (3/100) x 63 = 1.89
Adding up the ticket price and booking fee to get total price:
Total price = ticket price + booking fee = 63 + 1.89 = 64.89£
Hope this helps!
:)
The cube root of 24.
Answer:
2.88449914
Step-by-step explanation:
An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets were sold?
Thank you!
Answer: 12 child tickets
Step-by-step explanation:
We can use system of equations to find how many child tickets were sold. Let's say x is adult and y is child.
Equation 1
5.25x+3.05y=498.6
This equation comes from the cost of tickets.
Equation 2
x+y=100
This equation comes from the number of tickets.
We can use elimination method to solve for y.
5.25x+3.05y=498.6
5.25x+5.25y=525
Now, we can subtract the equations for x to cancel out and to solve for y.
-2.2y=-26.4
y=12
explain why 3 into 5 into 7 + 7 into 11 is a composite number
Answer:
As per BODMAS rule: 3 x 5 x 7 + 7 = 105 + 7 = 112. 112 is an even number and is therefore a composite number
Step-by-step explanation:
you need to do BODMAS so
3 x 5 x 7 = 105
then add 7 so there for 112
112 is an even number and therefore a composite number