Answer:
d.) x2+16x+64=36
Step-by-step explanation:
To find - Alicia is solving a quadratic equation. She wants to find the value of x by taking the square root of both sides of the equation. Which equation allows her to do this?
a.) x2+81x+18=54
b.) x2−8x+24=17
c.) x2+9x−24=25
d.) x2+16x+64=36
Proof -
The correct answer is - d.) x2+16x+64=36
x2+16x+64=36
⇒x² + 8x + 8x + 64 = 36
⇒x(x + 8) + 8(x + 8) = 36
⇒(x+8)(x+8) = 36
⇒(x+8)² = 36
Take square root both sides, we get
√(x+8)² = √36
⇒x + 8 = ± 6
⇒x + 8 = 6, x + 8 = -6
⇒x = 6 - 8 , x = -6 - 8
⇒x = -2, -14
So,
Equation (4) allows her to do the following thing she ants.
i need help please! will mark brainliest
Answer:
g= - 3x/x-2
Step-by-step explanation:
The diameter of a circle is 4cm. Find it area to nearewt tenth.
Answer:
12.6cm
Step-by-step explanation:
12.6 cm²
Area formula: (A = πr²)
If the diameter is 4 cm.. then that would mean the radius is 2 cm because the radius is half of the diameter. So, we already know the radius.. we just have to find the circumference.
Circumference formula: (C = πd) or (C = 2πr)
Finding the circumference : 3.14 × 4 = 12.56 cm
So, we now have the radius and circumference.
Radius = 2 cm
Circumference = 12.56 cm
Finding the Area : 3.14 × 2 × 2 = 12.56 cm²
So, 12.56 rounded to the nearest tenth is 12.6 cm².
Hope this helped! :)
A laser beam moves along a straight line so that its velocity is given by v(t)=r²-4 feet/sec. What is the total distance, in feet, that the laser beam will have traveled between t=1 and t=3 seconds?
Answer:
4
Step-by-step explanation:
I used a calculator. I put integral values of 3 and 1 and then entered the equation inside absolute value bars
The total distance traveled by the laser beam in the given time interval is required.
The total distance traveled by the laser in the given time interval is 4 feet.
Equation of motionThe given equation is
[tex]v(t)=t^2-4[/tex]
The given time interval is from t = 1 to t = 3 seconds.
In order to find the distance traveled we need to integrate the equation with respect to time and between the given intervals.
[tex]0=t^2-4\\\Rightarrow t=\pm 2=+2[/tex]
The laser will change the direction at [tex]t=2[/tex]
[tex]\int_1^3 v(t)=\int_1^2t^2-4 dt+\int_2^3t^2-4 dt\\\Rightarrow \int_1^3 v(t)=\dfrac{t^3}{3}-4t|_1^2+\dfrac{t^3}{3}-4t|_2^3\\\Rightarrow \int_1^3 v(t)=\left|\dfrac{2^3}{3}-4\times 2-(\dfrac{1^3}{3}-4)+\dfrac{3^3}{3}\right|-\left|4\times 3-(\dfrac{2^3}{3}-4\times2)\right|\\\Rightarrow \int_1^3 v(t)=\dfrac{5}{3}+\dfrac{7}{3}\\\Rightarrow \int_1^3 v(t)=\dfrac{12}{3}\\\Rightarrow \int_1^3 v(t)=4\ \text{m}[/tex]
Since, here distance is asked the absolute value of each integral is used.
Learn more about equation of motion:
https://brainly.com/question/25951773
An insect population doubles every week. The function f(x)= 10(2)^x models the insect population after x weeks what will the population be after 4 weeks?
A.80
B.20,000
C.160
Given:
The insect population function is:
[tex]f(x)=10(2)^x[/tex]
Where x is the number of weeks.
To find:
The population after 4 weeks.
Solution:
The population of insect after x weeks is given by:
[tex]f(x)=10(2)^x[/tex]
We need to find the population after 4 weeks.
After substituting [tex]x=4[/tex], we get
[tex]f(4)=10(2)^4[/tex]
[tex]f(4)=10(16)[/tex]
[tex]f(4)=160[/tex]
The population after 4 weeks is 160. Therefore, the correct option is C.
Please help me ASAP!!!
A circular pizza has a diameter of 16 inches. Each slice of pizza has a central of angle 45°. What is the area of each slice of pizza?
A. 3.1 in²
B. 6.13 in²
C.25.1 in²
D. 100.5 in²
Answer:
First, let's find the area of the whole pizza:
Area of circle = pi x r^2
r = 16 / 2
r = 8
Area of pizza = pi x 8^2 = 64pi
Now 45 degrees is 1/8 of the whole pizza (it is one-eighth of 360 degrees), and so a slice is proportional to the fraction of the area:
64pi / 8 = 8pi
The area of each slice is then 8pi in.^2
Step-by-step explanation:
Suppose you and a friend are playing a game that involves rolling a fair die. You roll the die and count how many times you must roll until you roll a 6. Which conditions for a binomial setting have been met for this scenario? Binary? Independent? Number of trials? Same probability?
Answer:
Binary-yes
Independent-yes
Number of trials- No
Same probability-yes
Step-by-step explanation:
Answer:
Binary?
✔ Yes
Independent?
✔ Yes
Number of trials?
✔ No
Same probability?
✔ Yes
Step-by-step explanation:
Carlos buys a phone that cost $250. He pays a monthly rate of $75. What is the independent variable of this function ?
Answer: 250+75x
Step-by-step explanation: 250 is the flat charge on the phone, and he pays 75 dollars as a monthly rate. x represents the amount on months.
1.
A salesman earns $300 a week plus 20% of his sales. Which equation can be used to determine his
salary S if his weekly sales is x dollars?
Step-by-step explanation:
S = 300 x .20(x)
hope this helps
A rocket gets launched straight up into space. What is a possible description
of the rate of change (slope)?
Answer:
sorry in a hurry
Step-by-step explanation:
A rocket gets launched straight up into space. What is a possible description
of the rate of change (slope)?
1. ¿Cuál de las siguientes opciones es verdadera respecto de las propiedades de las ondas? A) El período y la frecuencia son inversamente proporcionales. B) El período no se relaciona con la frecuencia. C) El periodo es el número de ciclos en un cierto tiempo d) El período y la frecuencia son directamente proporcionales.
Answer:
Step-by-step explanation:
The volume of this cylinder is 16,328 cubic millimeters. What is the height?
Answer: 13
Step-by-step explanation:
Answer:
Step-by-step explanation:
Givens
r = 20 mm
Volume = 16328
h = ?
Formula
V = pi * r^2 * h
Solution
16328 = 3.14 * 20^2 * h
16328 = 3.14 * 400 * h
h = 16328/(3.14 * 400)
h = 16328 / 1256
h = 13
A suitcase is a rectangular prism whose dimensions are 1 1/4 feet by 1 1/2 feet by 2 1/4 feet. Find the volume of the suitcase. Tell me the answer as a mixed number in simplest form.
Use the formula: V= lwh
Good luck!
Answer:
V = 4.22ft^3
Step-by-step explanation:
Length: 2.25ft
Width: 1.5ft
Height: 1.25ft
Length x Width x Height = V
2.25 x 1.5 x 1.25 = 4.22ft, since we're dealing with volume of a 3D space, the answer is 4.22ft^3!
3. Brian paid $27 for 12 gallons of gasoline. To the nearest
cent, how much did 1 gallon of gasoline cost?
A. $0.44
B. $2.00
C. $2.25
D. $15.00
Answer:
C that was the answer to mine and it was right
Step-by-step explanation:
Please help out!!!! :///
Answer:
last option
Step-by-step explanation:
the middle term is the sum of 4k and 4k which is 8k
Please help! 3 questions ALL multiple choice if you answer them all you will get 30 points! I WILL GIVE YOU BRAINLIST! (NO LINKS PLEASE)
Answer:
I can help you on question 4, and the only 2 I saw was <ZAY and <WAZ. I hope I at least helped with that one.
Step-by-step explanation:
.Jorge has a square poster that measures 15 centimeters on a side. What is the perimeter of the poster in centimeters?
Answer:
[tex]A=225cm[/tex]
Step-by-step explanation:
From the question we are told that:
Sides of the square post
[tex]L=15cm[/tex]
Generally the equation for Area of a square A is mathematically given by
[tex]A=L*B[/tex]
Where L=B
Therefore
[tex]A=15*15[/tex]
[tex]A=225cm[/tex]
URGENT!!!! BRAINLIEST FOR CORRECT ANSWER!
At the Little Rock Zoo, the cost for one children's ticket is $10 and the cost for one adult's ticket is $13. On Saturday, the zoo had a total of 1,465 people visit the zoo and took in a total of $16,603. How many CHILDREN visited the zoo? (Number Only)
Answer:
1663
Step-by-step explanation:
Simplify: 6^6/6^−3 Leave your answer in exponential form
Answer:
6⁹
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{6^6}{6^{-3}}[/tex]
Step 2: Simplify
Exponential Rule [Dividing]: [tex]\displaystyle 6^{6 - -3}[/tex]Rewrite: [tex]\displaystyle 6^{6 + 3}[/tex]Add: [tex]\displaystyle 6^{9}[/tex]Si sacas una carta al azar de un mazo estándar de 52 cartas, ¿Cuál es la probabilidad de que obtengas una carta que sea menor a cinco o una de diamante?
Which of the following is not an integer? I need help!
0.54
0
-45
17
Answer:
0.54
Step-by-step explanation:
An integer is a WHOLE number without any fractional parts. Integers can be negative as long as it's a whole number.
Jamal's car travels an average of 16.7 miles per gallon of gas.
A full tank of gas is 20 gallons. Jamal has driven 292 miles
since he last filled his gas tank. How many more miles can
Jamal expect to travel on this same tank of gas?
Answer:
42 miles
Step-by-step explanation:
20 x 16.7 = 334 miles on a full tank of gas
he drove 292 miles so 334 - 292 = 42 miles left
write 0.001574 in scientific notation
Answer: 1.574 × 10-3
Step-by-step explanation:
To convert 0.001574 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 1.574 × 10-3
Answer:
0.001574 in scientific notation is 1.574 × 10^-3
Step-by-step explanation:
All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 0.001574 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 1.574 × 10^-3
Therefore, the decimal number 0.001574 written in scientific notation is 1.574 × 10^-3 and it has 4 significant figures.
Hope this helped!!!
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Answer:
¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día! También necesito puntos porque soy nuevo.
Step-by-step explanation:
Which quadratic expression is in vertex form?
Solve 2in,3in,and 5in MOOOAAAAN
I BEEP BEEP WANT MORE MOOOOAN
Answer:
yo mama
Step-by-step explanation:
Answer:
Wat
Step-by-step explanation:
y o u n e e d a s t e p s I s t e r
What function represents the pattern shown in the table?
Given:
The table of values of an exponential function.
To find:
The function for the given table of values.
Solution:
The general exponential function is:
[tex]y=ab^x[/tex] ...(i)
Where, a is the initial value and b is growth factor.
From the given table it is clear that the function passes through the points (1,9) and (2,36). It means the function must be true for these two points.
[tex]9=ab^1[/tex] ...(ii)
[tex]36=ab^2[/tex] ...(iii)
On dividing (iii) by (ii), we get
[tex]\dfrac{36}{9}=\dfrac{ab^2}{ab}[/tex]
[tex]4=b[/tex]
Putting [tex]b=4[/tex] in (ii), we get
[tex]9=a(4)^1[/tex]
[tex]\dfrac{9}{4}=a[/tex]
Putting [tex]a=\dfrac{9}{4},b=4[/tex] in (i), we get
[tex]y=\dfrac{9}{4}(4)^x[/tex]
[tex]y=9(4)^{x-1}[/tex]
The function notation with variable n is:
[tex]f(n)=9(4)^{n-1}[/tex]
Therefore, the correct option is D.
Lauren studies for 3 \frac{1}{3} 3 1 hours. She took a break every \frac{2}{3 } 3 2 hour. HOW MANY breaks did she take?
Answer: 5 times
Step-by-step explanation:
Your question isn't well written but let me rewrite it based on what I believe that you wrote.
Lauren studies for 3 1/3 hours. She took a break every 2/3 hour. How many breaks did she take?
To solve the question, we have to divide the number if hours used in studying by the interval used in taking a break. This will be:
= 3 1/3 ÷ 2/3
= 10/3 / 2/3
= 10/3 × 3/2
= 5
She took a break 5 times
WHAT IS THE WHOLE FOR 3 3/4 PLEASE HELP ME
Answer:
15/4
Step-by-step explanation:
HELP PLEASE 10 POINTS AND BRAINLIEST
Answer:
the first (c) is the answer: ΔABC ≅ ΔPQR
Step-by-step explanation:
What is 2logs(5x°)+ logs(+6) written as a
single logarithm?
Given:
The expression is:
[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]
To find:
The single logarithm expression for the given expression.
Solution:
We have,
[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]
Using properties of the logarithm, we get
[tex]=\log_5(5x^3)^2+\log_5(x^2+6)^{\frac{1}{3}}[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]=\log_5(25x^6)+\log_5\sqrt[3]{x^2+6}[/tex]
[tex]=\log_5(25x^6)\sqrt[3]{x^2+6}[/tex] [tex][\because \log a+\log b=\log (ab)][/tex]
Therefore, the correct option is B.