3x - 12 + 6x + 9?/ Help Please
the initial population was 50 thousand people and the population increased by 12% each year. Determine the function rule for this definition.
The sum of two numbers is 45. One number is 4 times as large as the other. What are the numbers?
The value of the variable x and y whose sum is 45 will be 9 and 36, respectively.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The sum of the two numbers is 45. One number is 4 times as large as the other.
Let the two numbers be x and y. Then the equation is given as,
x + y = 45 ...1
y = 4x ...2
From equations 1 and 2, then we have
x + 4x = 45
5x = 45
x = 9
Then the value of y will be
y = 4(9)
y = 36
The value of the variable x and y whose sum is 45 will be 9 and 36, respectively.
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Without overlapping, how many college basketball courts 94ft x 50ft would fit into a football field 360ft x 160ft?
In the equation x=8y , what is the unit rate?
Which is the standard form of the equation of the parabola that has a vertex of (–4, –6) and a directrix of y = 3?
Answer:
The required equation is [tex](x+4)^2=-36(y+6)[/tex].
Step-by-step explanation:
The standard form of the equation of the parabola is
[tex](x-h)^2=4p(y-k)[/tex] .... (1)
where, (h, k) is vertex and y = k - p is directrix.
It is given that vertex of parabola is (–4, –6) and the directrix is y = 3.
[tex](-4,-6)=(h,k)[/tex]
On comparing both the sides, we get
[tex]h=-4,k=-6[/tex]
Directrix of the parabola is
[tex]y=k-p[/tex]
Put y=3 and k=-6 in the above equation.
[tex]3=-6-p[/tex]
[tex]3+6=-p[/tex]
[tex]9=-p[/tex]
[tex]-9=p[/tex]
Substitute h=-4,p=-9 and k=-6 in equation (1).
[tex](x-(-4))^2=4(-9)(y-(-6))[/tex]
[tex](x+4)^2=-36(y+6)[/tex]
Therefore the required equation is [tex](x+4)^2=-36(y+6)[/tex].
Trig: Use a half angle formula to find the exact value of the expression?
cos(5pi/12)
The correct answer is [tex]\frac{1}{2}[/tex].
To find the exact value of [tex]\cos(5\pi/12)[/tex] using a half-angle formula, we can follow these steps:
[tex]\cos(2\theta) = 2\cos^2(\theta/2) - 1[/tex]
Substituting [tex]\theta = 5\pi/6[/tex], we get:
[tex]\cos(5\pi/3) = 2\cos^2(5\pi/12) - 1[/tex]
[tex]\cos^2(5\pi/12) = \frac{\cos(5\pi/3) + 1}{2}[/tex]
[tex]\cos(5\pi/3) = \cos(\pi/3 + \pi) = -\cos(\pi/3)[/tex]
[tex]\cos(\pi/3) = \frac{1}{2}[/tex]
[tex]\cos(5\pi/3) = -\frac{1}{2}[/tex]
[tex]\cos^2(5\pi/12) = \frac{-\frac{1}{2} + 1}{2} = \frac{1}{4}[/tex]
[tex]\cos(5\pi/12) = \pm\sqrt{\frac{1}{4}} = \pm\frac{1}{2}[/tex]
Since cosine is an even function, we take the positive value.
[tex]\cos(5\pi/12) = \frac{1}{2}[/tex]
Therefore, the exact value of [tex]\cos(5\pi/12)$ is $\frac{1}{2}[/tex].
Complete question:
Use a half angle formula to find the exact value of the expression?
[tex]\cos(5\pi/12)[/tex]
Write an equation that represents the data in the table x 5,10,15,20 y 17,22,27,32
Convert 15/9 to a decimal. A. 1.64 B. 1.67 C. 1.66 D, 1.69
common factor for 4x+8
Find z such that 6.8% of the standard normal curve lies to the left of z. (round your answer to two decimal places.)
Answer with explanation:
it is given that ,6.8% of standard normal curve lies to left of z.
6.8% [tex]=\frac{6.8}{100}\\\\=0.068[/tex]
We will use z table to calculate the value of z.
First we will go on y axis in z table to see value of 0.06 and then on 0.08 on x axis.Their point of intersection will give value of z at 0.068, which is equal to 0.2483.
Value of Z ,at 6.8% ,when the curve is normal = 0.25
⇒0.25 represents area in the left of ,z=0.068.
The z-score corresponding to 6.8% in the standard normal distribution is approximately -1.48, rounding to two decimal places, ensuring 6.8% lies to the left.
To find the z-score such that 6.8% of the standard normal curve lies to the left of it,
use a standard normal distribution calculator.
For the z-score corresponding to the cumulative probability of 0.068 (6.8%).
Using a standard normal distribution calculator:
The cumulative probability of 0.068 (or 6.8%) in the standard normal distribution calculator.
find the z-score associated with this probability.
The z-score corresponding to a cumulative probability of 0.068 is approximately -1.48 (rounded to two decimal places).
Therefore, the z-score z such that 6.8% of the standard normal curve lies to the left of it is approximately -1.48.
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I need help!!! Pleasssse!!!!
The ratio of the length to the width to the height of a rectangular box of cereal is 6:2:7. The sum of the length and the width of the box is 24 centimeters. Find the surface area of the box of cereal
Prepare 350g of a 2% lidocaine cream using a 1% lidocaine cream a 5% lidocaine cream
What is the y-value when x equals -11?
y = -200 – 12(x).
Real Question:
You Make A Table To Use AS A Quick Reference Guide. [tex]\left[\begin{array}{ccc}y = -200 -12 (x)\end{array}\right][/tex]
Use The Table Tool To Answer The Question:
[tex]\left[\begin{array}{ccc}-8&-104\\-9&-92\\-10&-80\\-11&-68\\-12&-56\end{array}\right][/tex]
What is the y-value when x equals -11?
[tex]\left[\begin{array}{ccc}y = -200 -12 (x)\end{array}\right][/tex]
Step-By-Step Explanation:
Plug In The X-Value [tex]\left[\begin{array}{ccc}y=-200-12(x)\\y=-200-12(-11)\end{array}\right][/tex]
Then You'll Multiply [tex]\left[\begin{array}{ccc}-12(x) Or -12(-11)\\132\end{array}\right][/tex]
To Find The Y-Value Simplify [tex]\left[\begin{array}{ccc}y=-200+132\\y=-68\end{array}\right][/tex]
Answer:
[tex]\left[\begin{array}{ccc}y=-200-12(x)\\y=-200-12(-11)\\y=-200+132\\ y=-68\end{array}\right][/tex]
ashley measure the shell she collect she records the measurements in the chart
A student taking a math class needs 6 minutes to solve each algebra problem. How many problems can the student solve in 72 minutes?
Final answer:
By dividing the total minutes (72) by the minutes per problem (6), we find that the student can solve 12 algebra problems in 72 minutes.
Explanation:
The student asking how many algebra problems can be solved in 72 minutes if each problem takes 6 minutes can be answered with a simple division operation. You divide the total available time by the time taken for each problem to find the number of problems that can be solved. In this case, 72 minutes ÷ 6 minutes per problem equals 12 problems.
convert 82 into a fraction and decimal
A scale drawn on the map shows that 1 inch represents 24 miles. Of two cities are 2.25 inches apart on the map, what is the distance between them in real life?
Fill in the blank. The number pi relates the diameter of a circle to its_____ a.circumference b.center c.radius d.chord
The number pi relates the diameter of a circle to its circumference. Therefore, the correct option to fill in the blank is:
a. circumference
A cake decorator rolls a piece of stiff paper to form a cone. She cuts off the tip of the cone and uses it as a funnel to pour decorative sprinkles into small containers. The cone has a radius of 666 cm and a height of 181818 cm. What is the volume of the cone before the end is cut off? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Answer:
V = 216 pi cm^3.
Step-by-step explanation:
how do u estimate 8.36
Choose the right answer. Two hundred fifty tickets are sold at a church fund raiser. If Sarah buys 15 tickets, the probability that she will win the prize quilt is .
Answer:
Her probability to win the prize quilt is 0.06, or she has a 6% probability of winning it.
Step-by-step explanation:
In statistics, a probability of 100% is represented with a 1. In this case, if Sarah would have bought the 250 tickets, she would have a probability of 1 to win the prize, as
[tex]\frac{250}{250}=1[/tex]
then, if this expression is multiplied by 100, we could say that the precentage of probability would have been 100%...
But Sarah didn't buy the 250 tickets, instead she bought 15, therefore
[tex]\frac{15}{250}=\frac{3}{50}=0.06[/tex]
which means that the probability of her winning the prize quilt is 0.06, or, if multiplied by 100, she has a 6% probability of winning the prize quilt.
15% of the school parking spaces are handicap spaces. The school has 18 handicap spaces. How many parking spaces are there?
Answer:
The answer is "120"
Step-by-step explanation:
I did it myself, and this is the answer i got :) I made sure it was correct but let me know if you have problems!
the width of a rectangle is X and the length is twice he width. if the area of the rectangle is 162, what is X?
To find the value of X in a rectangle with width X and length 2X, we can use the area formula. By solving the equation, we find X = 9, making the width of the rectangle 9 units.
Explanation:To find the value of X, we need to use the given information about the length and width of the rectangle. Let's assume the width of the rectangle is X. Since the length is double the width, it is 2X. The area of the rectangle is given as 162, so we can set up the equation:
Width × Length = Area
X × 2X = 162
Simplifying the equation, we get:
2X^2 = 162
Dividing both sides by 2, we have:
X^2 = 81
Taking the square root of both sides, we find:
X = ±9
Since the width cannot be negative, the value of X is 9. Therefore, the width of the rectangle is 9 units.
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The width of the rectangle is 9 units.
Explanation:To find the width of the rectangle, we can set up the equation for the area. The width of the rectangle is X, and the length is twice the width, meaning the length is 2X. The formula for the area is length times width, so we have X * 2X = 162. Simplifying this equation gives us 2X^2 = 162. Dividing both sides by 2 gives us X^2 = 81. Taking the square root of both sides gives us X = 9. Therefore, the width of the rectangle is 9 units.
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A basketball player made 57 out of 100 attempted free throws. What percent of free throws was made?
Can someone please help me? The measure of the reflex angle in rhombus ABCD is 260°. Find x. Thanks
here goes another question lol oops
For her cell phone plan Heather pays $30 per month plus 0.05 protects she wants to keep her bill under $60 per month with any quality represents the number of texts T Heather can't spend each month while staying within her budget
The population of a particular town is given by the function P(t) = 920(1.06)2t, where t is the time in years and P(t) is the population after t years. What is the current population, the percentage growth rate, and the population size (rounded to the nearest whole person) in 4 years?
A: 920, 6% annually, and 1,161
B:920, 6% semiannually, and 1,466
C: 920, 0.6% per year, and 7,801
D:920, 60% semiannually, and 4,135
Jackie has a drawer with 20 buttons, each of different color. How many different ways can she choose three buttons for her bookbag?