Answer:
[tex]y = 7.5[/tex]
Step-by-step explanation:
Given
Direct variation implies that:
[tex]y = kx[/tex]
Where k is the constant of variation.
[tex]x=4; y=3[/tex]
Required
Find y when [tex]x = 10[/tex]
[tex]y = kx[/tex]
Make k the subject
[tex]k = \frac{y}{x}[/tex]
For: [tex]x=4; y=3[/tex]
[tex]k = \frac{3}{4}[/tex]
For: [tex]x = 10[/tex]
[tex]k = \frac{y}{x}[/tex] becomes
[tex]k = \frac{y}{10}[/tex]
Substitute [tex]k = \frac{3}{4}[/tex]
[tex]\frac{3}{4} = \frac{y}{10}[/tex]
Make y the subject
[tex]y = \frac{3}{4} * 10[/tex]
[tex]y = \frac{3* 10}{4}[/tex]
[tex]y = \frac{30}{4}[/tex]
[tex]y = 7.5[/tex]
Find dcq pls thanks so much
Answer:
arc ABC = 196°
∠DCQ = 47°
Step-by-step explanation:
arc AD = 70°
∠D = 1/2 arc ABC = 98°
arc ABC = 98° * 2 = 196°
arc CD = 360° - arc AD - arc ABC = 360°-70°-196° = 94°
tangent chord angle DCQ = 1/2 arc CD = 1/2 * 94° = 47°
Javier is writing the following proof:
HELLP MEE
The triangles ΔABE and ΔDCE are congruent to each other by the SAS postulate. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangles are ΔABE and ΔDCE.
In triangles ΔABE and ΔDCE
AE = EC (given)
∠AEB = ∠DEC (vertically opposite angles)
BE = DE (midpoint theorem)
The triangles ΔABE and ΔDCE are congruent to each other by the SAS postulate. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Find the value of x in the triangle shown below 4 3
Answer: 5
Step-by-step explanation: I took the test
Let a = the length of a car in meters. Let b = the length of the same car in centimeters. Which number is greater, a or b? Use the drop-down menu to select your answer. a is the greater number.
Answer:
B is the greater number
A virus jumps from monkeys to humans. The number of people P(t) who have been infected with the virus t weeks after the jump grows logistically. Suppose that initially 10 people are infected with the virus and that the continuous growth rate is 1.78. It is estimated that in the long run approximately 5000 people will have been infected with the virus. The virus is spreading the fastest approximately:________
a. 3.5 weeks after the jump.
b. 4.0 weeks after the jump.
c. 4.5 weeks after the jump.
d. 5.0 weeks after the jump.
e. None of the above is correct.
Answer:
e. None of the above is correct.
Step-by-step explanation:
The general formula for exponential growth is;
P= a(1 + r)^t
Where;
P = total number infected after a given time interval
a = initial number of infected people
r = growth rate of infection
x= time taken in weeks
Hence;
5000= 10(1 + 1.78)^t
5000/10 = (1 + 1.78)^t
500 = (1 + 1.78)^t
log 500 = tlog(1 + 1.78)
t = log 500/log(1 + 1.78)
t = 2.699/0.444
t = 6 weeks
The virus is spreading the fastest approximately 5.0 weeks after the jump.
What is exponential?An exponential equation is an algebraic expression that has an equality and at least one unknown in one of its exponents. To be considered an equation, an expression must have at least one unknown, which is an unknown number represented by a letter, and an equality relationship.
The general formula for exponential growth is;
P= a(1 + r)^t
Where;
P = total number infected after a given time interval = 5000a = initial number of infected people = 10r = growth rate of infection = 1.78x= time taken in weeksHence;
[tex]5000= 10(1 + 1.78)^t\\5000/10 = (1 + 1.78)^t\\500 = (1 + 1.78)^t\\log 500 = tlog(1 + 1.78)\\t = log 500/log(1 + 1.78)\\t = 2.699/0.444\\t = 6 weeks[/tex]
[tex]t=6-1=5 weeks[/tex]
See more about exponential at brainly.com/question/2193820
This is a cross section of the design of a bookshelf.
Which is the closest to the length,in inches,of the brace indicated by BC in the sketch?
Answer:
25 in
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\15^{2} +20^{2} =c^{2} \\225+400=c^{2} \\c^{2} =625\\c=\sqrt{625} \\c=25[/tex]
A fast-pitch softball diamond is a 60 foot square with a base at each corner.
If the catcher throws directly from home plate to second, how many feet will
the ball travel? (Round to the nearest foot.)
60 ft.
60 t
Answer here
Answer:
The correct answers is 85.
Step-by-step explanation:
a^2+b^2=c^2
60^2+60^2=\sqrt(7200)=84.85 but in here we are rounding to the nearest foot , which will be 85.
help me with this question
Answer:
A
Step-by-step explanation:
The opposite of 6 IS -6
If f(x) = 7x +3 and g(x) = (x-4,
what is (fºg)(40)?
Answer: 280x^2 - 1000x - 480
Step-by-step explanation:
((7x + 3) * (x - 4))(40)
use foil
7x^2 - 28x + 3x -12
(7x^2 - 25x - 12) (40)
280x^2 - 1000x - 480
Pls help extra points
Answer:
3,6,9,27 and 2,4,6,18
Step-by-step explanation:
It simple
Julio has started his very own floral business. He sells centerpieces for $19.50 each. His fixed costs are $500 per
month, and each centerpiece cost $8 to produce.
Determine your break-even point. Suppose you wish to break even by selling only 25 centerpieces. At what price
would you need to sell each centerpiece?
a. Julio must sell 25 centerpieces at $35 each to break even.
b Julio must sell 25 centerpieces at $25 each to break even.
C. Julio must sell 25 centerpieces at $40 each to break even.
d. Julio must sell 25 centerpieces at $28 each to break even.
If is a segment bisector of and AB = 17, find AP.
Question 1 options:
A)
34
B)
8.5
C)
68
D)
17
Answer:
B. 8.5
Step-by-step explanation:
It's a segment bisector which means the other line bisects the direct middle of AB. 17/2 is 8.5, meaning that AP should be 8.5
Please help me fast i need help but please no links
Answer:
dont click that other guys link its an ip grabber
Step-by-step explanation:
Find all the values of × for which the statement is true.
[tex] | {x}^{2} + 9| = {x}^{2} + 9[/tex]
which figure can be produced by a rotation and reflection of figure A ?
Answer:
It can produce the shape triangle
rose can make 5 3/4 bookmarks in one hour . How many bookmarks can she make in 3 1/2 hours
Answer:
I haven't done that type of math in a while but I cam up with 21 bookmarks
what is 3x +3? x=5 i need ot know
If x=5 then the answer would be 18. 3 times 5 is 15 +3=18
Answer:
3x + 3
if the letter "x " is 5 then we replace the x in the equation
3( 5 ) + 3
15 + 3 = 18
Step-by-step explanation:
i hope it helps you =)
WILL GIVE 40 BRAINLY
(08.03)Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
[tex](3,2)[/tex]
Step-by-step explanation:
The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.
[tex]y=-2x+8\\y=x-1[/tex]
In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.
[tex]x-1 = -2x + 8[/tex]
Now solve using inverse operations,
[tex]x -1 = -2x + 8\\+2x\\\\3x - 1 = 8\\+1\\\\3x =9\\/3\\\\x = 3[/tex]
Backsolve to find the value of (y), substitute in the value of (x), and solve for the value of (y).
[tex]y=x - 1\\[/tex]
Substitute,
[tex]y=(3)-1[/tex]
Solve,
[tex]y=2[/tex]
Thus, the answer to this system of equations is the following, [tex](3,2)[/tex].
Answer:
(x = 3 and y = 2)
Step-by-step explanation:
Ok, we have our 2 equations...
y = -2x + 8
y = x - 1
Lets solve them
y = -2x + 8 , y = x - 1
They both equal y so I can put them together to equal out. Now our equation is...
x - 1 = -2x + 8
The next step is to get x on one side by itself, so change the negative symbol on -2 to addition...
3x - 1 = 8
Next step is to add 1 on both sides...
3x = 9
Divide both sides by 3...
x = 3
Now to do the other equation, which is easier.
y = x (3) - 1
or
y = 2
Both are solved and we have ...
(x = 3 and y = 2)
Maria walks a round-trip of 0.75 mile to school every day. How many miles will she walk
in 4.5 days?
A 0.3375 mile
B 3.375 miles
C 33.75 miles
D 337.5 miles
7 in
are
9 in
11 in
15 in
Answer: 11 in
Step-by-step explanation: Hope this help :D
If Ben goes on a 6-day hike and travels
2 miles each day, how far will he go altogether?
Answer:
12 miles
Step-by-step explanation:
Plz mark brainliest I need three more to rank up thanks.
Answer:
12 miles
Step-by-step explanation:
First we are given the Ben goes on a 6-day hike and that on one day, he travel's 2 miles.
Now, we need to make an equation for this:
6x2=x
6(days)x2(miles per day)=12 miles in 6 days
The answer is 12 miles!
Hope this helps!
please help i will give brainlest to the first one who answers
Answer:
The answer is x+9.
I hope you like my answer.
What are the coordinates of point A?
A: (- 2, -6)
B: (- 6, -2)
C: (- 6, -3)
D: (- 3, -6)
Answer correctly for 50 points.
Answer falsely , then get ready for instant consequences.
The x value is first and the y value is second.point A is at (-3,-6)
The graph of quadratic function f is shown on the grid. 5 -3 -12 5 u 6 Which of these best represents the domain of f? А -5.5 < x < 1.5 B All real numbers less than or equal to 3 C All real numbers D y <3
Answer:
C: All real numbers.
Step-by-step explanation:
Domain means the interval of x=values that the function resides in. Since this quadratic function can go to both positive and negative infinity, there are no limits to the x-values so therefore the domain is all real numbers.
HELP PLS, The cosine of
Answer:
add/hyp
Step-by-step explanation:
using SOHCAHTOA cosine of an angle A will be adjacent/ hypotenus
please help it due today ?
First step to solve this equation x-5=7-2x
Answer:
The answer is Add 2x to both sides of the equation
Step-by-step explanation:
I NEED HELP ASAP!! THANK YOU
Jason has a part-time job. The table below shows the number of hours he worked and how much money he earned on three different days.
Answer:
Pretty sure it's 9.75
Step-by-step explanation:
39.00 divided by 4 = 9.75
Help plsssss no links plss