Answer:
y = 75
Step-by-step explanation:
Given that:
y [tex]\alpha[/tex] [tex]\sqrt{x}[/tex]
⇒ y = k[tex]\sqrt{x}[/tex]
where k is the constant of proportionality.
When y = 45, x = 81, then;
45 = k[tex]\sqrt{81}[/tex]
45 = 9 k
k = [tex]\frac{45}{9}[/tex]
= 5
k = 5
So that,
y = 5[tex]\sqrt{x}[/tex]
the value of y when x = 225 is;
y = 5[tex]\sqrt{x}[/tex]
= 5 x [tex]\sqrt{225}[/tex]
= 5 x 15
y = 75
How do you find an exponential growth model
Answer:
When the line of the graph is going up
Step-by-step explanation:
When the line is going down that means its a exponential decay :)
HELP PLEASE 24 POINTS
PLEASE help quick it is almost due
Answer:
D.
Step-by-step explanation:
The volume of the rectangular pyramid is ___ cubic units.
Answer:
600 cubic units.
Step-by-step explanation:
The formula for a rectangular pyramid is[tex]V=\frac{lwh}{3}[/tex] or volume is equal to length x width x height divided by 3. The length is 15, the width is 10, and the height is 12. This equals to 1800, then we divide it by three for the answer.
Solve and
graph this
inequality.
-3x>15
Answer:
x > -5
Step-by-step explanation:
-3x > 15
divide by -3
x > -5
Answer: x<-5
Step-by-step explanation:
First, we must isolate x in order to graph the inequality properly. To solve for x, you must divide each side by -3. Because you are dividing by a negative number, you must switch the side around. So, the inequality would be [tex]x<-5[/tex]t.To graph this, you must put a veritcal dotted line (since the equation has a less than symbol) and shade to the left (this shows all the possiblilties of what x could be. Or, if you were to graph it on a number line, put an open circle on -5 and draw an arrow left from the dot. Hope this helps!
what is a decimal that is equivalent to the fraction 9/100
Answer:
0.09
Step-by-step explanation:
9/100 as a decimal is 0.09.
Answer:
0.09!
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
0.09 is your answer!
Hope this helped.
Signed ~Jaz~
Simplify the expression. Write your answer as a power.
k^13/k^5 * k^17/k^11
Answer:
k^14
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the given expression (k¹³/k⁵)×(k¹⁷/k¹¹) is k¹⁴.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The simplification of the given expression (k¹³/k⁵)×(k¹⁷/k¹¹) can be done as,
[tex]\dfrac{k^{13}}{k^5} \times \dfrac{k^{17}}{k^{11}}\\\\= k^{(13-5)} \times k^{(17-11)}\\\\= k^8 \times k^6\\\\= k^{(8+6)}\\\\=k^{14}[/tex]
Hence, The simplification of the given expression (k¹³/k⁵)×(k¹⁷/k¹¹) is k¹⁴.
Learn more about Expression:
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Hurry please. Also thank you in advance
Answer:
The answer is C [tex]\sqrt{97}[/tex].
Step-by-step explanation:
Use the pythagorean theorem. [tex]a^{2} + b^{2} = c^{2}[/tex]. With a and b corresponding to the legs of the triangle.
What is the name of the little gates that control the airflow through the brass instrument? A. slides B. bend C. valves D. pick ( this is for music class)
Answer:
valves
Step-by-step explanation:
What is the median for the following set of data? 2, 3, 6, 8, 9, 10, 11 7 8 10 11
8 :)
Step-by-step explanation:
What is f(-6)? Hint: plug (-6) in for the variable p.
Complete the table.
Step-by-step explanation:
f(-7)= (-7)^2 + 6×(-7)=49-42= 7
f(-6)=36-36= 0
f(-5)=25-30= -5
f(-4)=16-24= -8
Independent Practice
Use <, =, > to compare.
|| 19 || || − 19 ||
A.
|19 | = |–19|
B.
|19 | < |–19|
C.
|19 | > |–19|
Answer:
A.
|19 | = |–19|
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
ANSWER ASAP PLEASE
look at the photo
Step-by-step explanation:
Area of trapezium = 1/2(a+b)h
= 1/2(10+24)12
= 1/2×34×12
= 204 square units
How is the graph of g(x) = -x2-2 related to the graph of f(x)= x??
Answer:
Step-by-step explanation:
If [tex]f(x) = x[/tex]. then you would use the x in that equation to plug in for the x in the equation [tex]g(x)=[/tex] [tex]-x^{2} - 2[/tex]
solve the simultaneous equations y=3x+2 and y=x+6
Answer:
x=2
Step-by-step explanation:
y=3x+2
y=x+6
Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.
Therefore, substitute into both equations as shown:
3x+2=x+6
3x-x=6-2 (bring 2 to the other side by subtracting 2 as well as x)
2x=4
2x/2=4/2 (dividing 2 on both sides to get rid off 2 in 2x)
x=2.
The solution of the given system of equations y=3x+2 and y=x+6 using the substitution method will be x = 2 and y = 8.
What is the equation?More than one variable may be present inside a linear equation.
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given system of equations,
y=3x+2 and y=x+6
Compare both values,
3x + 2 = x + 6
3x - x = 6 - 2
x = 4/2 = 2
And, y = 2 + 6 = 8
Hence "The solution of the given system of equations y=3x+2 and y=x+6 using the substitution method will be x = 2 and y = 8".
For more about the equation,
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solve for y.
5x + 4 = -4y
Answer:
5x−4=y 5 x - 4 = y . Add 4 to both sides of the equation. Divide each term by 5 and simplify. Divide each term in 5x=y+4 5 x = y + 4 by 5 5 .
Here's the answer I hope this helps you
Step-by-step explanation:
Please help!! I don’t understand how to do this problem
Answer:
D.
Step-by-step explanation:
[tex]y = 3x \\ \frac{y}{3} = x \\ \\ \frac{3y}{3} + 2y = 45 \\ y + 2y = 45 \\ 3y = 45 \\ y = \frac{45}{3} \\ y = 15 \\ \\ x = \frac{y}{3} \\ = \frac{15}{3} \\ = 5[/tex]
Plzz help mehjDutch hchch h
Answer:
See belowStep-by-step explanation:
Given the data set of 15 where:
Mean = 7Median = 6Mode = 5The minimum is 1 and the maximum is 10As per given we conclude
The set will have 7 numbers before 6 and 7 numbers afterSum of 15 numbers is 15*7 = 105The most used number is 5a) Possible set is:
1, 5, 5, 5, 5, 5, 5, 6, 9, 9, 10, 10, 10, 10, 10b) Add number 20, the set will be:
1, 5, 5, 5, 5, 5, 5, 6, 9, 9, 10, 10, 10, 10, 10, 20The mean is different as we have now more numbers with different sum:
(105 + 20)/(15 + 1) = 125/16 = 7.8125The median is different now and moves to the right as 20 added to the far right:
(6 + 9)/2 = 7.5The mode stays same as still most used number is 5:
5Which of the following is a true statement?
A. |5| < |–8|
B. |5| > |–8|
C. |–8| < |5|
D. |5| < |0|
Answer:
A. |5| < |–8| is the correct option.
What is the equation in slope-intercept form of the line that passes through the points (-4, 2) and (12, 6)?
Answer:
Step-by-step explanation:
Two angles are complementary. The larger angle is 3 degrees less than twice the measure of the smaller angle. Find the measure of each angle.
Answer:
First angle would be 31°, second angle would be 59°
Step-by-step explanation:
You can use the equation 90° = a + (2a - 3°), where a is the measure of your smaller angle.
simplify:
90° = 3a - 3°
93° = 3a
31° = a
let your second angle equal (2a - 3°)
(2(31°) - 3°) = 59°
There are 568 apples in the kitchen ready to make apple pies, if 50% of them are green, how many are green?
Answer:
284 apples are green
Step-by-step explanation:
50 is half of one hundred so you divided 568 by 2
I need help with this please I don't understand my kids work
HELP ME WITH ALGEBRA PLEASE! THANK YOU
Answer:
d=8
Step-by-step explanation:
Okay we've got 68/17 and d/2
68/17 = 4 meaning d/2 is also 4. Since 4 × 2 is 8, we know the answer is 8.
i need help due asap
Step-by-step explanation
the third one
Step-by-step explanation:
Let's solve for y.
8x−3y>11
Step 1: Add -8x to both sides.
8x−3y+−8x>11 −8x −3y>−8x+11
Step 2: Divide both sides by -3.
−3y/−3 > −8x+11/−3
y<8/3x−11/3
Answer:
y<8/3x−11/3
You buy an electronic organizer that is on sale for 15% off
the original price of $20. What is the sale price?
Answer: The sell price is $3
Step-by-step explanation: If you multiply 20 x 15 = 300 divide by 100 equal 3
Help!!! Bo and Erica are yoga instructors. Between the two of them, they teach 46 yoga classes each week. If Erica teaches 14 fewer than twice as many as Bo, how many classes does each instructor teach per week?
A.
22 Bo; 24 Erica
B.
24 Bo; 22 Erica
C.
17 Bo; 29 Erica
D.
20 Bo; 26 Erica
Answer: D
Step-by-step explanation:
2x - 14 + x= 46
3x = 60
x= 20
The graph below shows the distance a car can travel, y, using x gallons of gasoline.
Part A
How many miles per gallon does the car get ?
Part B
How many miles can the car travel using 9 gallons of gasoline ?
Answer:
Part A= 25 miles Part B= 225 miles
Step-by-step explanation:
The car uses 2 gallons to travel 50 miles so 1 gallon is equal to 25 miles.
HURRY PLEASE I NEED THIS NOW
What is the value of x in the figure shown?
19°
71°
81°
89°
Answer: 19
Step-by-step explanation:
Answer: it is 71,because 180-109=71
Step-by-step explanation: