Answer:
8/27
Step-by-step explanation:
[tex](\frac{2}{3})^3 = \frac{2}{3} * \frac{2}{3} * \frac{2}{3} = \frac{8}{27}[/tex]
The functions j(x)=x−1 and k(x)=3x+1 intersect at:
A. Infinitely many points
B. 2 points
C. 1 point
D. There are no intersection points
Answer:
C
Step-by-step explanation: for j(x) = k(x)
My English is not good, please forgive me
The ages of the members of a family are 65, 58, 27, 25, 5, and 2 years old. What is the total admission price for the family to visit the zoo?
A picture shows an admission price board for people of different ages at a zoo. The ages of people and their admission price per person in dollars are as follows: 12 and under, 8; 13-59, 12; 60 and older, 10.
Answer:$62
Step-by-step explanation: 62 becuase I took your formula and plugged it in. There are 2 kids under 12 so thats $16, then there are 3 people who are 12-59 that equals $52, then 1 person who is over 60. So $62.
A water bucket in your backyard has a small hole in it. You notice that it drained a total of 3.5 liters
in 4 days. What is the average change in water volume each day? (hint: divide)
Compare solving equations using addition with solving inequalities using addition
Answer:
give picture
Step-by-step explanation:
Solving inequalities with addition is similar to solving equations with addition in the initial steps, but it differs in the final answer due to the inequality sign. In both cases, you use addition to isolate the variable. However, with inequalities, you must consider the direction of the sign throughout the process.
When solving inequalities with addition, like equations, the goal is to isolate the variable on one side. You use addition to simplify the expression. Begin by treating the inequality like an equation, adding or subtracting the same value to both sides to eliminate constants and isolate the variable.
For example, if you have [tex]\(2x + 5 > 10\)[/tex], subtract 5 from both sides to get [tex]\(2x > 5\)[/tex].
Here's where it diverges: since inequalities involve the relationship between two quantities, you need to be mindful of the inequality sign. When you multiply or divide both sides by a negative number, the inequality direction flips.
For example, if you multiply [tex]\(x < 3\)[/tex] by -2, the sign changes to [tex]\(x > -6\)[/tex].
Remember, you're looking for a range of values that satisfy the inequality. So, when representing your final answer, use the appropriate inequality sign. For instance, if [tex]\(3x + 2 \leq 8\)[/tex], after simplifying, you'll have [tex]\(x \leq 2\)[/tex], indicating that any value of [tex]\(x\)[/tex] less than or equal to 2 satisfies the inequality.
In summary, while solving inequalities with addition is akin to solving equations with addition in the initial steps, the crucial distinction lies in managing the inequality sign throughout the process and representing the solution as a range of values that satisfy the inequality.
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Complete Question:
How is solving inequalities with addition is similar to or different from solving equations with addition ?
Lance wrote down a lot of plus sevens and minus fours. Altogether he wrote 22 digits. When he came to add them all up the total was zero. How many plus sevens were there?
How are rates and ratios related?
Answer:
Rates are ratios that are renamed so that one of the numbers is 1. It is usually the denominator of the original ratio.
Twenty students scored the following marks in a history test: 5, 2, 5, 3, 1, 6, 2, 2, 3, 4, 2, 1, 2, 2, 4, 3, 2, 2, 2, 3. What is the mode of distribution. What is the median and mean
Answers:
Mode = 2Median = 2Mean = 2.8===================================================
Work Shown:
Original set = {5, 2, 5, 3, 1, 6, 2, 2, 3, 4, 2, 1, 2, 2, 4, 3, 2, 2, 2, 3}
Sorted set = {1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6}
Do not toss out the duplicates.
The most occurring or most frequent value is 2, so this is the mode.
---------------------------
To find the median, we divide the n = 20 item set into two parts
n/2 = 10
So we'll count to the 10th slot to get to the number "2", which is the second to last "2" in the sorted list shown above.
The number just after this is also "2" in the 11th slot. Average these two values to get (2+2)/2 = 4/2 = 2
The median is 2.
----------------------------
To find the mean, we need to first add up all the data values.
1+1+2+2+2+2+2+2+2+2+2+3+3+3+3+4+4+5+5+6 = 56
Then divide this over n = 20 to get 56/20 = 2.8
The mean is 2.8
The mean being larger than the median tells us we have an outlier that is larger than the main cluster. Those outliers are 5 and 6.
Mikala initially launches a toy rocket from a height of 3 feet above the ground. After 2 seconds, the rocket reaches its highest point of 11 ft and then returns to
the ground
.
• Create a model that can be used to determine the height of the toy rocket at a given time. Define your variables and show your work or explain how your
equation models the situation.
• Use the model to determine at what time the toy rocket will land on the ground. Show your work or explain your answer.
Enter your answers and explanations in the box.
[tex]y = -2x^2 + 8x + 3[/tex]
Using the model above, it is found that it lands on the ground after 4.35 seconds.The equation of a quadratic function of vertex (h,k) is given by:
[tex]y = a(x - h)^2 + k[/tex]
The vertex is the maximum point, which is (2,11), hence [tex]h = 2, k = 11[/tex]. Then:
[tex]y = a(x - 2)^2 + 11[/tex]
The initial height is of 3 feet, then when [tex]x = 0, y = 3[/tex], and this is used to find a.
[tex]y = a(x - 2)^2 + 11[/tex]
[tex]3 = 4a + 11[/tex]
[tex]4a = -8[/tex]
[tex]a = -\frac{8}{4}[/tex]
[tex]a = -2[/tex]
Then:
[tex]y = -2(x - 2)^2 + 11[/tex]
In standard format, the model is:
[tex]y = -2x^2 + 8x - 8 + 11[/tex]
[tex]y = -2x^2 + 8x + 3[/tex]
It hits the ground when [tex]y = 0[/tex], so:
[tex]-2x^2 + 8x + 3 = 0[/tex]
[tex]2x^2 - 8x - 3 = 0[/tex]
Which has coefficients [tex]a = 2, b = -8, c = -3[/tex]. So
[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(-3) = 88[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + sqrt{88}}{4} = 4.35[/tex]
[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - sqrt{88}}{4} = -0.35[/tex]
Time is positive, so it lands on the ground after 4.35 seconds.
A similar problem is given at https://brainly.com/question/17987697
what is the value of x in this figure
Answer:
43°
Step-by-step explanation:
the blue angle is congruent with the 80° because they are vertical angles
the red angle is 57° because 123° and 57° angles are supplementary angles
the green angle is 43° because the sum or angles in a triangle is 180°
please help me fast with explanation
Answer:
1. Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10. The sign of the exponent will depend on the direction you are moving the decimal. 4.8×10−23
2. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
3.888×10^10
3.The sign of the exponent will depend on the direction you are moving the decimal.4.2×10−3
Just use the same explanation in number 1 to get the right answer.
What are the coordinates of the terminal point determined by T=20pi/3
Answer:
t=5x=3049
Step-by-step explanation:
Answer:
The answer is cos=(-1/2, square root -3/2)
Step-by-step explanation:
Karen wants to buy a $22.50 jacket that is marked 20% off.
Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression Choose.
Answer:
discount = price times % off
discount = 22.50 x 0.20
discount = $4.50
Step-by-step explanation:
Determine if I Il m based on the information given on the diagram. If yes, state the converse that
proves the lines are parallel.
Answer:
I believe, that they are parallel because they both have 90° angles meaning that the other angle has to be 90° as well. I dont really know how to explain it but they are both in the same position and have 90° angles im not the best with these. •So im not exactly sure if this is correct though.
-They also have corresponding and congruent angles that do match up, so yes they are parallel to eachother
can you PLEASE tell me the answer
Answer:
A
Step-by-step explanation:
Hope it helps!
Answer:
B
Step-by-step explanation:
corresponding sides of similar triangles are same ratio
[tex]\dfrac{JK}{UT}=\dfrac{KL}{TS}\\\\\dfrac{x}{20}=\dfrac{8}{16}\\\\x=\dfrac{8}{16}*20\\\\x=10[/tex]
After 3.5 days, the height of the plant is ______
centimeters.
The height of the plant is 6.25 centimeters after _______
days.
Answer: I think this is what the top answer meant. Let me know if I am wrong though!
After 3.5 days, the plant is 5.75 centimeters tall, and after 4.5 days, it is 6.25 centimeters tall.
Given that a function h = 0.5d + 4 showing the height h of a plant in d days,
So, the equation of the line is:
h = 0.5d + 4
For 3.5 days put d = 3.5,
h = 0.5(3.5) + 4
h = 5.75 cm
To find the number of days after height of the plant is 6.25 centimeters.
Put h = 6.25,
6.25 = 0.5d + 4
2.25 = 0.5d
d = 4.5 days
Hence, the plant is 5.75 centimeters tall after 3.5 days and 6.25 centimeters tall after 4.5 days.
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Complete question is attached.
The diagram shows a triangle.
P-42 degrees
P-21 degrees
P-36 degrees
What is the value of p?
Answer:
The value of p is not measure through brain but through the fire
Line m passes through
points X and Y. Line n passes through points x
and Z. If m and n have equal slope, what can
you conclude about points X, Y, and Z? Explain.
Answer:
X, Y, Z are collinear
Step-by-step explanation:
X,Y,Z lie on the same straight line
The slope of the lines are the same thus line m and n both passes through X, Y, and Z points and thus all three points will be colinear.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
Given that line m is passing →
Points X and Y
Line n passing →
Points X, Z
The slope of m = slope of n
If the slope same then the line will be parallel and since both lines are passing through the same point X thus they will be a colinear line.
All points that lie on the colinear line are colinear points.
Hence "X, Y, and Z all three points will be colinear".
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what should step 3 say?
Answer:
12x + 15 = 15
Step-by-step explanation:
step 2
9x + 3x + 15 = 15 ( collect like terms on left side )
step 3
12x + 15 = 15
¿Qué es un dato en estadística?
Answer:
Los datos son piezas individuales de información fáctica registradas y utilizadas con fines de análisis. Es la información en bruto a partir de la cual se crean las estadísticas. Las estadísticas son el resultado del análisis de datos: su interpretación y presentación. ... A menudo, estos tipos de estadísticas se denominan "datos estadísticos".
Step-by-step explanation:
Answer:
Un dato estadístico es cada uno de los valores que se ha obtenido al realizar un estudio estadístico
Step-by-step explanation:
What letter comes after f
Answer:
g.....
Step-by-step explanation:
g.....
the letter is g
The letter g comes after the letter f.
What are Alphabets?An alphabet is a set of graphs or characters used to represent the phonemic structure of a language
The english alphabets are a, b, , c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u , v, w, x, y and z.
The alphabets help to form the basis of our language and communication for a lifetime.
There are twenty six letters in the english alphabets.
As we see the order of alphabets.
The letter g is next to the letter f.
They help to form the basis of our language and communication for a lifetime.
Hence, the letter g comes after the letter f.
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Someone please help me with this problem! Will mark brainliest!
Answer:
I need a question, then I will help
Step-by-step explanation:
Factor completely 3xy - 3x – 2y + 2
Answer:
Step-by-step explanation:
[tex]3xy-3x-2y+2\\(y-1)(3x-2)\\Check\\(y-1)(3x-2)\\Simplify\ and\ we\ get\ our\ question\\(y)(3x)+(y)(-2)+(-1)(3x)+(-1)(-2)\\3xy-2y-3x+2[/tex]
珠ɪᴢᴜᴍɪᴿᴬᴳᴱ
Solve the simultaneous equation
2x-5y=9
3x+4y=2
Answer/Step-by-step explanation:
2x-5y=9
Add 5y to both sides of the equation.
2x=9+5y
Divide each term by 2 and simplify.
Divide each term in 2x=9+5y by 2
[tex]\frac{2x}{2} =\frac{9}{2} +\frac{5y}{2}[/tex]
Cancel the common factor of 2.
Divide x by 1.
[tex]x=\frac{9}{2} +\frac{5y}{2}[/tex]
[tex]y=\frac{-9}{5} +\frac{2x}{5}[/tex]
----------------------------------------------------------------------------------------------------------------
3x+4y=2
Add 4y to both sides of the equation
3x=2+4y
Divide each term by 3 and simplify.
Divide each term in 3x=2+4y by 3.
[tex]\frac{3x}{3} =\frac{2}{3} +\frac{4y}{3}[/tex]
Cancel the common factor of 3.
Divide x by 1.
[tex]x=\frac{2}{3} +\frac{4y}{3}[/tex]
[tex]y=\frac{-1}{2} +\frac{3x}{4}[/tex]
F (-6,-5) G (3,-4) H(3,-7) the scale factor is = 1/8
Answer:
1/8" = 1'-0" Invert the fraction and multiply by 12
Step-by-step explanation:
i hope this help
A snail glides 4 metres in 2 hours
what is the average speed of the snail in metres/hour?
how far will it glide in 6 hours?
what is the time taken by the snail to glides a distant of 1 metre?
Answer:
2 metres per 1 hour
12 metres per 6 hours
30 minutes to glide 1 metre.
Step-by-step explanation:
1. To find the average speed, simply divide the distance covered by the amount of time taken, like so:
4 metres / 2 hours = 2 metres per 1 hour
2. To find how many metres the snail will glide in 6 hours, multiply the 2 metres per 1 hour by 6, like so:
6(2 metres per 1 hour) = 12 metres per 6 hours
3. Because we know that 2 metres take 1 hour to glide over, if we divide 2 in half, we get 1, so we can also divide 1 hour in half to get 30 minutes. Therefore, it takes 30 minutes to glide 1 metre.
Hope this helps :)
-x^4+2x^3+8x=0. solve by factoring
2.93114246
Step-by-step explanation:
f(x)=5x-1; find f (-2), f (0), and f (x+1)
Answer:
f(-2) = -11
f(0) = -1
f(x+1)= f (x+1)=5x+4
Step-by-step explanation:
Maizes grandmother open the second account with $75 for her when she was born the account is 4% simple interest each year when Maize is 10 years old how much will she have in the savings account?
Answer:
She'd have $45
Step-by-step explanation:
4% of 75 is 3 dollars.
So 3 dollars per year and after 10 years the account lost $30 to the simple interest.
3*10(AmountOfYears)=30
So 75-30=45
$45 would be left in the savings account.
Caitlin earned $5 for each baby hat she knitted. SHe wanted to make at least $50 before spring break. Which equation best represents this situation?
a. 5x>50
b. 5x<50
c. 5x>_50
d. 5x<_50
Answer:
c. 5x>_50
Step-by-step explanation:
Each hat earns her $5.
x number of hats will earn her 5x.
At least $50 means $50 or more, so it means the same as greater than of equal to 50.
5x >_ 50
pls correct answer for brainliest answer
Step-by-step explanation:
let tye number Ahmed thinks be x.
so, a/q
the equation is,
→ 2x/5 = 4
→ 2x = 4×5 = 20
→ x = 20/2
→ x = 10
therefore, he thinks the number 10.
hope this answer helps you dear!
Answer:
10
Step-by-step explanation:
I'm doing it from the end.
if the answer is 4, you have to multiple it by 5 and then divide it by 2
4 x 5 ÷ 2 = 10
10 multiple by 2 is 20 and 20 divided by 5 is 4 so
10 is correct answer