Answer:
B. 2
Step-by-step explanation:
1) all the perpendicular lines are: y=x+C, where C - number;
2) in order to calculate C: to substitute (2;4) into the equation y=x+C:
4=2+C; ⇒ C=2;
3) finally, the required equation is: y=x+2.
The answer is B. 2.
Solve the system of equations 2x - 7y = 34 and x - y = 12 by combining the
equations.
There u go~
\(2x-7y=34\)
\(x-y=12\)
---------------------
\(3x-8y=46\)
Hope this helps ^-^
$3.00 markup 72%
Thanks for helping
Answer:
$5.16
Step-by-step explanation:
3.00 times 0.72 is 2.16. Because it's a markup that means you add. 3.00 plus 2.16 is 5.16.
9. Estimation
Doug is reading two
books. The first book is 122 pages.
The second book is 189 pages.
Rounded to the nearest ten, about
how many pages will Doug read?
Answer:
310
Step-by-step explanation:
189+122=311
(311 rounded to the nearest ten is 310.)
Determine the domain of which the following function is increasing
Answer:
domain : - ∞ < x < 1
Step-by-step explanation:
the function is increasing on the upward part of the curve. that is
from negative infinity to the vertex at (1, 3 )
domain : - ∞ < x < 1
The ratio of ronnys tern, dougs rent and ronalds rent is 4:5:8. Their total rent if $3723. What is the cost of each persons rent
Answer:
The cost of Ronny is $876, Dough is $1095 and Ronald is $1752.
Step-by-step explanation:
Firstly, make all ratios into units:
Let Ronny = 4 units, Doug = 5 units,
Ronald = 8 units, Total = $3723
4 units + 5 units + 8 units = 17 units
17 units = $3723
1 unit = $3723 ÷ 17
1 unit = $219
Given that 1 unit is equals to $219. Let find the amounts:
Ronny = 4 × 219 = $876
Doug = 5 × 219 = $1095
Ronald = 8 × 219 = $1752
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = 16x
Step-by-step explanation:
Answer:
y=16x
Step-by-step explanation:
y increases by 16 as x increases by 1
Which of the following lines are perpendicular to the line y=-3x+ 5? (you may choose more than one answer)a. 3x-y=2b. y= 3x c. 3x+y=5d. 1/3x-y=3e. 3x-y=6
Explanation
2 lines are perpendicular if the product ot their slopes equals 1
then,
Step 1
find the slope of the given line
\(\begin{gathered} y=-3x+5\Rightarrow y=mx+b \\ m\text{ is the slope} \end{gathered}\)so
\(Slope_1_{}=-3\)Step 2
Now, let slope2 represents the slope of the line we are looking for ( perpendicular)
\(\begin{gathered} \text{slope}_1\cdot slope_2=-1 \\ \text{replacing} \\ -3\cdot Slope_2=-1_{} \\ \text{divide both sides by -3} \\ \frac{-3\cdot Slope_2}{-3}=\frac{-1}{-3} \\ \text{Slope}_2=\frac{1}{3} \end{gathered}\)now, check in the answer options the function that has 1/3 as the factor of x
\(\begin{gathered} y=mx+b \\ m=\frac{1}{3} \end{gathered}\)then, the answer is
\(d\text{. }\frac{1}{3}x-y=3\)find the 39th term for the aritmethic sequence, 10,15,20
The 39th term of the sequence is 200.
What is Arithmetic Sequence?Arithmetic sequence or arithmetic progression is the set of numbers for which the difference of any two consecutive numbers in that set will be a constant.
The constant term which is the difference of the two consecutive numbers is called the common difference and is usually denoted by 'd'.
Arithmetic sequence is usually represented as
a, a + d, a + 2d, ........, a + (n - 1)d
The nth term of an arithmetic sequence, aₙ is given by the formula,
aₙ = a + (n - 1) d
where, a is the first term and d is the common difference.
The given sequence is 10, 15, 20, ......
a = 10
d = 15 - 10 = 5
Here, we have to find the 39th term of the sequence.
a₃₉ = 10 + (39 - 1) 5
= 10 + (38 × 5)
= 10 + 190
= 200
Hence, the 39th term of the progression 10, 15, 20,..... is 200.
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Manu has soccer practice at the park at 5:20 P.M. It ends at 6:15 P.M.
How long is Manu's soccer practice?
Answer:
His practice is 55 minutes long
you can look at it this way
from 5:20pm to 6:pm, is only 40 minutes
then from 6:00pm to 6:15pm is only 15 minutes
40 + 15 = 55
Anybody know the awnser to number 4 and 5 please awnser fast if you know it
Answer:
the final answer of 4 should be 24 7/12.
Step-by-step explanation:
I will mark you brainiest!
A) 126.6
B) 99.6
C) 66.9
D) 57.1
The required length of AC in triangle ABC is b = 119.57 units.
How to find the value of AC?In triangle ABC, we have:
\($\angle B = 85^\circ$\)
\($\angle C = 53^\circ$\)
\($BC = 85 units\)
AB = c
AC = b (we need to find the value of b)
We know that the sum of the interior angles of a triangle is \($180^\circ$\). Therefore:
\($\angle A = 180^\circ - \angle B - \angle C$\)
\($\angle A = 180^\circ - 85^\circ - 53^\circ$\)
\($\angle A = 42^\circ$\)
Using the law of sines, we have:
\($\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$\)
Substituting the given values, we get:
\($\frac{c}{\sin 85^\circ} = \frac{b}{\sin 53^\circ}$\)
Solving for $c$, we get:
\($c = b \cdot \frac{\sin 85^\circ}{\sin 53^\circ}$\)
We also know that:
\($\frac{a}{\sin A} = \frac{85}{\sin 42^\circ}$\)
Solving for a, we get:
\($a = 85 \cdot \sin 42^\circ$\)
Now we can use the law of cosines to find b:
\($b^2 = a^2 + c^2 - 2ac \cdot \cos B$\)
Substituting the known values, we get:
\($b^2 = (85 \cdot \sin 42^\circ)^2 + \left[b \cdot \frac{\sin 85^\circ}{\sin 53^\circ}\right]^2 - 2 \cdot 85 \cdot b \cdot \sin 42^\circ \cdot \sin 85^\circ/(\sin 53^\circ)$\)
Simplifying and solving for b, we get:
b = 119.57 units
Therefore, the length of AC in triangle ABC is b = 119.57 units.
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You earn 90% on a quiz. If you earned 36 points, how many points was the quiz worth?
Answer:
36/90%=40
Step-by-step explanation:
40 points in total
if a sequence of uniformly bounded functions uniformly converges then its limit function must also be uniformly bounded
The given statement in the question , if a sequence of uniformly bounded functions uniformly converges then its limit function must also be uniformly bounded is true.
It is true that a sequence of uniformly convergent bounded functions must converge to a bounded function. A uniformly convergent series of unbounded functions is difficult to describe.
On the real line, for example, f n (x) = x converges uniformly to f (x) = x.
In mathematics, a family of bounded functions is said to be uniformly bounded if all of its members can have their boundaries defined by the same constant.
This constant is greater than or equal to the absolute value of any of the family's functions.
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six options. Each of these six options leads to a menu with four options. For each of these four options, three more options are available. For each of these three options, another three options are presented. If a person calls the 800 number for assistance, how many total options are possible
Answer:
Hence the total number of possible options available to a person who calls the 800 number is 216.
Step-by-step explanation:
Given that the caller 10 800 telephone system has six options. For each of these four options, three more options are available. For each of these three options, another three options are presented.
Hence the total number of possible options available to a person who calls the 800 number = \(6 \times 4 \times 3 \times 3 = 216\).
A rectangle has a length 3x + 1 of and a width of Write an expression for the 3-9
perimeter of the rectangle.
The expression for the perimeter is P = 12x - 16
How to write an expression for the perimeter?The given parameters are
Length = 3x + 1
Width = 3x - 9
The perimeter is calculated as
P = 2 * (Width + Length)
So, we have
P = 2 * (3x + 1 + 3x - 9)
Evaluate
P = 2* (6x - 8)
Expand
P = 12x - 16
Hence, the expression for the perimeter is P = 12x - 16
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In the library, there are 302 books. A group of students go to the library and check out 123 of the books. 73 of the books were returned. How many books are in the library now? 122
Answer:252
Step-by-step explanation: 302 - 123 = 179. 179 + 73 =252
Answer:
302
-123
=179
+73
=252
so the answer would be 252
Subtract 4x + 6 from 7 + 2x?
Answer:
1-2x
Step-by-step explanation:
\((7+2x)-(4x+6)=7+2x-4x-6=1-2x\)
Los organizadores de la Feria de Alimentos colocan un contenedor de agua que mide 2,76 metros de largo, por 23,5 decímetros de ancho y por 196 centímetros de alto. ¿Cuál es el volumen del contenedor? Expresa la respuesta en metros cúbicos con aproximación a centésimos.
The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.
The length of the container is 2.76 meters.
The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).
The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).
Now we can calculate the volume of the container:
Volume = Length × Width × Height
Volume = 2.76 meters × 2.35 meters × 1.96 meters
Volume ≈ 12.9516 cubic meters (rounded to four decimal places)
Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
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Consider the following triangle.
a = 6.0, b = 7.7, c = 13.6
Determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle.
O Law of Sines
O Law of Cosines
Solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal pl
A =
B =
C =
Need Help?
0
O
O
Read It
To determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle, we can compare the given information with the formulas for each law.
The Law of Sines states:
a / sin(A) = b / sin(B) = c / sin(C)
The Law of Cosines states:
c^2 = a^2 + b^2 - 2ab * cos(C)
In this case, we are given the lengths of all three sides of the triangle (a = 6.0, b = 7.7, c = 13.6). Therefore, we have enough information to use the Law of Cosines to solve the triangle.
Using the Law of Cosines, we can find the measures of the angles:
c^2 = a^2 + b^2 - 2ab * cos(C)
(13.6)^2 = (6.0)^2 + (7.7)^2 - 2 * 6.0 * 7.7 * cos(C)
184.96 = 36 + 59.29 - 92.4 * cos(C)
184.96 = 95.29 - 92.4 * cos(C)
92.67 = -92.4 * cos(C)
cos(C) ≈ -1
Since the cosine of an angle cannot be greater than 1 or less than -1, it is not possible for the given triangle to have an angle with a cosine of -1. Therefore, the triangle is not solvable with the given side lengths.
In this case, the Law of Cosines is needed, but the triangle cannot be solved with the given information.
Help im timed The ratio of strawberries to bananas in a smoothie recipe are shown in the graph below.
first to anwser is brainliest
Answer:
D
Step-by-step explanation:
Match the x and y coordinates with strawberries and bananas.
(6,1)
(12,2)
(18,3)
Answer:
A
Step-by-step explanation:
It is same
What is the slope of the line in the graph?
The easiest way to find slope is to look at your first point and count how many boxes it is going up and then to the side. It's always going to be the rise over run. The awnser to this question is 2/1 or just 2.
I need help quickly
Using L'hopital we can see that the limit is equal to 1/22
How to solve the limit?Here we want to take the limit of x tending to zero for x/sin(22x)
Notice that when x = 0, both numerator and denominator are zero, so we need to take the limit of the first derivatives, for:
y = x
y' = 1
And for:
y = sin(22x)
y' = 22*cos(22x)
Now taking the limit we will get:
\(\lim_{x \to 0} \frac{1}{22cos(22x)} = \frac{1}{22cos(0)} = 1/22\)
That is the value of the limit.
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Regan won the grand prize at a store giveaway. The grand prize winner is guaranteed to win at least $500 in cash and prizes.
A. List three possible dollar amounts in cash and prizes Regan can win
B. Write an inequality to represent the dollar amounts d in cash and prizes Regan can win.
An inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, Regan won the grand prize at a store giveaway. The grand prize winner is guaranteed to win at least $500 in cash and prizes.
Let d represent the amount of cash in dollars and p represent the amount of prizes.
Since the grand prize winner is guaranteed to win at least $500,
So, p + d ≥ 500
Therefore, an inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.
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what is 8 plus 8 minus 10
Graph the line y=kx+1 if it is known that the point M belongs to it: M(1, 3)
Answer:
Ok, we have the line:
y = k*x + 1
And we know that the point (1, 3) belongs to this line.
This means that when x is equal to 1, y must be equal to 3.
Then:
3 = k*1 + 1
3 - 1 = k
2 = k
Now we know that our line is:
y = 2*x + 1.
And we can graph it, as shown below.
Answer:
y = 2x + 1
First coordinate: (0, 1)
Second coordinate: (2, 3)
Find the unknown coordinate so the line through the
points has the given slope
Answer:
#1 (0,-4)
#2 (5,0)
#3 (3,1)
Step-by-step explanation:
#1. (-3, 2) (0, y) slope = -2
slope = rise/run therefore slope = -2/1 or down 2 and over 1
so from -3 to 0 you are going over 3 units (or 3 times) Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6 so 2-6 = -4
so y intercept (b) = -4 0r (0,-4)
#2 (-7,-4) (x,0) slope (m) = 1/3 -7+12=5 x=5
#3 (4,-3) (x, 1) slope (m) = -4 (4/-1) Moving one unit in slope means
-3=4=1 for Y and 4-1=3 for X therefore the point is (3, 1)
Denver, Colorado is called "The Mile High City" because its elevation is 5280 feet above sea level. Someone tells you that the elevation of Death Valley, California is -282 feet.
What would your elevation be if you were standing near the ocean?
If you were standing near the ocean, your elevation would be 0 feet above sea level.
What is elevation ?Elevation above sea level refers to the height of a location above the sea level. It is typically measured in meters or feet. Elevation is important because it can affect the local climate and weather patterns, as well as the availability of resources such as water.
A location with a high elevation may have a cooler climate and less available water, while a location with a low elevation may have a warmer climate and more available water.
This means that if you are standing near the ocean, you would be at sea level and therefore you would be at 0 feet above sea level.
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Use the image to determine the direction and angle of rotation. Graph of triangle ABC in quadrant 1 with point A at 1 comma 3. A second polygon A prime B prime C prime in quadrant 4 with point A prime at 3 comma negative 1. 90° clockwise rotation 180° clockwise rotation 180° counterclockwise rotation 90° counterclockwise rotation
Ted is building a garden in his yard. He measures one side of his yard and finds it is 12 meters.
Which measurement did Ted find?
Answer:
Length or Area
Step-by-step explanation:
Ted is taking the measurements to find out how big he wants the garden
PLEASE HELP!this is dueee
Answer:
Solve all the equations.
2+n = 6
n = 4
n + 6 = 12
n = 6
4 × n = 24
n = 6
n × 3 = 2
n = 2/3
The bold equations are the answers.
Hope this helps :)
Step-by-step explanation:
Answer:
all other than the 3rd one
Step-by-step explanation: