Answer:
x=28
Step-by-step explanation:
1/3x+2/3=10
3(1/3x+2/3)=3(10)
x+2=30
x=28
A satellite dish is the shape of a paraboloid. The dish is 30
inches wide, and 10 inches deep. How many inches should
the receiver be located from the vertex for optimal reception?
(round to the nearest thousandth)
Receiver •
Answer:
The receiver should be located at (0, 5.625)
Step-by-step explanation:
The given parameters are;
The width of the satellite dish = 30 inches
The depth of the dish = 10 inches
The receiver should be located at the focus of the parabola
Where the vertex of a parabola is (0, 0)
The equation of an upward or downward facing parabola is x² = 4·p·y
The focus of the parabola = (0, p)
The directrix is given by y = -p
The axis is the x-axis
Therefore, given that the width = 30 inches and the depth = 30 inches, we have;
The points (-15, 10), (15, 10), and (0, 0) (which is the vertex) on the parabola
Substituting, the coordinates into the equation of the parabola gives;
(-15)² = 4 × p × 10
p = (-15)²/(4 × 10) = 5.625
The coordinate of the focus = (0, 5.625)
Therefore, the receiver should be located at (0, 5.625).
The distance that the receiver should be located from the vertex to receive optimal reception is;
5.625 inches above the vertex
We are given;
Width of the satellite dish = 30 inches
Depth of the satellite dish = 10 inches
Vertex of parabola is at (0, 0)
If we imagine a parabola that has its vertex located at the origin, the symmetry of the parabola will make us know that the depth is the height which in this case is 10 inches while the edge is 15 inches (1/2 of 30 inches) to both right and left sides of the axis of symmetry.
Thus, we can say that this parabola passes through the point (15, 10).
Now, the conic form of a parabola with its vertex at the origin is given by the formula; y = (1/4c)x²
where c is the distance between the focus and the vertex.
Plugging in the relevant values gives;
10 = (1/4c)(15)²
4c = 225/10
4c = 22.5
c = 22.5/4
c = 5.625
Thus, the receiver should be located at 5.625 inches above the vertex so for optimal reception.
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Write a number that makes this equation true. 4\text{ hundreds} =4 hundreds=4, start text, space, h, u, n, d, r, e, d, s, end text, equals \text{ones}onesstart text, o, n, e, s, end text
Answer:
hundreds = 1, for the equation to be true.
Step-by-step explanation:
Given an equation:
[tex]\frac{4}{hundreds}[/tex] = 4 hundreds = 4
For this equation to be true, hundreds should be represented by a minimum value.
This implies that, hundreds can not be represented by a number which equal zero, less than or greater than 1. Therefore, hundreds = 1.
So that;
[tex]\frac{4}{1}[/tex] = 4 x 1 = 4
⇒ 4 = 4 = 4
Thus, a true expression.
For the given equation to be true, hundreds must be equal to 1.
E.g: [tex]\frac{100}{hundreds}[/tex] = 100 hundreds = 100
For this equation to be true, hundreds = 1.
So that;
[tex]\frac{100}{1}[/tex] = 100 x 1 = 100
⇒ 100 = 100 = 100
Answer: 400
Step-by-step explanation:
40 times 10 is 400
Tina is 2, Shirley is 2, and Andrea is 3. How old is Anastasia?
Anastasia's age from the pattern will be 3 years.
What is a logical pattern?Logical relationships like and, or, and are not being used to correlate events that arrive in chronological sequence.
In mathematics, reasoning is the process of applying logical reasoning to a situation in order to determine the best approach to solve a problem provided, and then utilizing this approach to build and describe a solution.
Given that the pattern of the age is Tina is 2, Shirley is 2, and Andrea is 3.
From the pattern, Anastasia's age would be 3 years.
Hence, Anastasia's age from the pattern will be 3 years.
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Neko made a triangular flag shown below. He wanted to attach it to the stick and then trim off the extra fabric so the flag would form an
isosceles triangle. By how many degrees was he off when he attached the triangle to the stick?
Answer:
Pretty sure its A
Step-by-step explanation:
Neko's flag ended with a triangle having 62 and 86 degrees as base angles because the stick was 12 degrees out of alignment from the proper position (both angles are 74 degrees each) - Option A
Recall:
Isosceles triangle is a triangle having two congruent base angles and two equal sides.Thus:
In the base angles of the triangle formed by the flag with the stick are as follows:
180 - 118 = 62 degrees (linear pair)
180 - (62 + 32) = 86 degrees. (sum of triangles)
Neko ended up having a flag that has 62 and 86 degrees base angles.
For both angles to be equal, we would have the following:
62 + 12 = 74 degrees86 - 12 = 74 degreesIn conclusion, Neko's flag ended with a triangle having 62 and 86 degrees as base angles because the stick was 12 degrees out of alignment from the proper position (both angles are 74 degrees each) - Option A
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(-3, -10) & (-1, -1) using the slope formula.
Answer:
9/2
Step-by-step explanation:
WILL GIVE BRAINLIEST BTU HAS TO BE RIGHT NEED ANSWER ASAP
The complete set of common factors of 6 and 12 is:
O A. {6,12}
OB. {1,6,12}
OC. {1,2,3}
D. {1,2,3,6}
O E. {24,48)
Answer:
d
Step-by-step explanation:
The factors of 6 are 1,2,3,6 and The factors of 12 are 1,2,3,4,6,12 so the common factores that they have are 1,2,3,6.
Please help!! Jim prepared 48 kilograms of dough after working 6 hours. How much dough did Jim prepare if he worked for 9 hours? Solve using unit rates.
The point `R(-4,-3)` is reflected over the y-axis. What are the coordinates of the resulting point, `R′`?
Answer: it’s gunna be (4, -3)
Step-by-step explanation:
1/4 :10=x:4
whats the value of x?
pls hurry i have 8 minutes
Step-by-step explanation:
what do the : mean ??? are you sure
Answer:
x=1/10
Step-by-step explanation:
1/4÷10=x/4
10x=4*1/4
10x=1
x=1/10
You have a coupon for 10% off your total. You bill comes to $59.12. How much is your bill after you use the coupon?
Answer:
$53.21
Step-by-step explanation:
If 10% comes off of the 100% that we would have paid originally, that means we're just paying 90%. That means we've to calculate:
$59.12 * 90% =
$59.12 * .9 =
$53.208.
Because you don't really pay anything past the hundredths place, we can just round the 8 up to get: $53.21
Answer:
$53.21
Step-by-step explanation:
You have a 10% discount so .10 times your total is the discount:
.10 x 59.12 = 5.912
Now, subtract $5.91 from the the total to get the price after a coupon (rounded to 5.91 because cents don't go into the thousandths place):
$59.12 - $5.91
= $53.21
So, your bill is $53.21 after the coupon is used
Sarah is changing her refuse (garbage) service. “Junk Bunker” charges a one time start-up fee of $300 plus $20 per month. “Junk in the Trunk” charges no start-up fee but charges $35 per month. Write an equation to determine when the two companies would cost the same.
Answer:
300 + 20x = 35x
Step-by-step explanation:
if you need to know how many months it is when the prices are even the answer is 20
Answer:
esxcdrfvtgbhyjnkmlmjnhbgvtfcrdfvgbhnjmk
Step-by-step explanation:
It takes 21 minutes for a certain population of bacteria to double. If there are approximately 8,014,000 bacteria in this population at 10 a.M., what is the best estimate, in millions, of the number of bacteria at 10:42 a.M. On the same day?
Answer:
32 million
Step-by-step explanation:
Given that:
Time it takes population to double = 21 minutes
Number of bacteria at 10a.m = 8,014,000
Best estimate of bacteria at 10:42
Difference :
10:42 - 10:00 = 42 minutes
42/ 21 = 2 times
Hence it doubles 2 times within the time range :
At 10:21 minutes :
8,014,000 * 2 = 16,028,000
At 10:42 minutes :
16,028,000 * 2 = 32,056,000
Best estimate is 32 million
List the intervals on which f is increasing.
Answer:
-7<x<7
Step-by-step explanation:
Which combinations of transformations will always produce congruent figures? Check all that apply.
O a dilation, followed by a rotation
O a reflection, followed by a dilation
O a rotation, followed by a translation
a translation, then a rotation, followed by a stretch
O a translation, followed by two reflections
ers/FrameChain/Activity:
Answer: rotation, followed by a translation
O a translation, followed by two reflections
Step-by-step explanation:
The answer is C and E.
A: a dilation, followed by a rotation
B: a reflection, followed by a dilation
C: a rotation, followed by a translation
D: a translation, then a rotation, followed by a stretch
E: a translation, followed by two reflections
What is f(5) for the function f(x)=-9x-10
Step-by-step explanation:
In this form, x = 5.
so we'll substitute 5 in for x...
f(5) = -9(5) -10
f(5) = -45 -10
f(5) = -55
essentially saying, when x = 5, y = -55
PLS HELP ME !!
The blueprint for a house is a shown in the picture. If the front of the house is actually 30 ft wide, how tall is the house?
Answer: A rich house and a poor house are on fire. Which house will the police tackle first?
Step-by-step explanation:
need help getting 5 brainiest
Answer:
please me .. im trying to rank up
i need 24 points
Step-by-step explanation:
Graph the line with the equation y = 1/5x-2.
3 4 5 6 7 8 9 10
Answer:
graph as seen below :)
Step-by-step explanation:
when graphing an algebraic equation, it is important to remember mx+b and what it stands for. m is the variable used to describe the slope and when in the form of a fraction is rise over run/vertical over horizontal/up over side/etc. so for this one, start at the y-intercept (0,-2) and go up 1, over 5, then plot that point. then continue the pattern for you graph and do the same backwards so you go down 1 and to the left 5. x is the variable that normally stays a variable in the equation. and finally, b is the y-intercept, so when the line passes through a point where x = 0 (that part is normally confusing form me cuz its the y-intercept so just think of it as when the point is on the y axis). then, you can plot points to make the graph shown below. sorry the graph is kinda trash but you can see that when you go over 5 you go up one.
if you have any questions make sure to comment so that i can clarify anything thats a little silly or confuzzling :)
I hope this helped :))
A savings account earns 2.7% yearly interest. Which equation shows how many years, t, it will take for the account to double?
Answer:
1.027t = 2
Step-by-step explanation:
Given that :
Saving account earns 2.7% interest yearly
The number it will take for the account to double
Let
Number of years = t
Interest earned yearly = 2.7% = 0.027
Amount = p(1 + rt)
Where P = principal
R = rate ; t = time in years, A = final amount
If p = 1 ;
For account to double,
Final amount = 2 * principal (p)
final amount = 2 * 1 = 2 ; hence, Final amount = 2
2 = 1(1 + 0.027t)
2 = 1 + 0.027t
2 = 1.027t
Regroup to express the number in a different way.
7 ten thousands+3 thousands+2 hundreds+5 tens
7 ten thousands+3 thousands+1 hundred+★ tens
what does the star equal?
Which statement is true?
Identify the constant of proportionality.
y=22x
Answer:
11
Step-by-step explanation:
The constant of proportionality is 22.
What is Constant of proportionality?The proportionality constant is the constant value of the ratio of two proportional quantities. When the ratio or product of two changing quantities generates a constant, they are said to be in a proportionate relationship. The proportionality constant's value is determined by the type of proportion between the two specified quantities: direct variation or inverse variation.
We have the equation is
y = 22 x
As, we know that from direct proportion as
y α x
y= k x
where k is constant of proportion
So, y= 22 x gives k =22
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A square patio has an area of 147 square feet. How long is each side of the patio to the nearest tenth?
Answer:
37. Because 147 divided by 4 (square has 4 sides lol) and you come up with 36.75 and then you gotta round it to the nearest tenth which makes it 37.
Step-by-step explanation:
A new health drink has 180% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 40 mg. How many milligrams of the vitamin are in the drink?
Answer:
72 mg of vitamin are in the drink
Step-by-step explanation:
The drink has 180% of the RDA
And the RDA is 40 mg
The number of milligrams present in the drink will be;
180% of 40 mg
= 180/100 * 40 = 180/2.5 = 72g
If Logan eats his vegetables, then he can have a bowl of ice cream. Logan eats his vegetables. conclusion
Answer:
Logan better eat his vegetables
Step-by-step explanation:
can anyone help with this to say which of the words at the bottom go for the box if its correct for brainliest
5 divided by 15.90
Work for it
Answer: 0.3144654088 Hope this helps :)
Step-by-step explanation:
Answer:
0.3144
Step-by-step explanation:
its just division
addie has $-5.29 in her account. she puts $25.00 into her account. what is her new amount?
Answer:
19.71
Step-by-step explanation:
You would add the two values (-5.29) and 25 together
7.93 repeating as a mixed number in simplest form