What is the sum of the first 10 terms of the sequence 2, 6, 18,54...?
Answer:
This is a sequence where you multiply that number 3 times. For example, 2 x 3 = 6. 6 x 3 = 18. 18 x 3 = 54 and so on. Therefore, multiplying 3 by the number is the Answer.
A keypad has only the letters A-D what's is the total number of possible outcomes if the code has 3 letters
Answer:
The total number of possible outcomes if the code has 3 letters is 64
Step-by-step explanation:
The keypad has only the letters A-D, that is, A,B,C,D.
To calculate the total number of possible outcomes if the code has 3 letters,
let these spaces represent the code _ _ _
For the first space, there are 4 possibilities (since we have 4 letters)
For the second space, we also have 4 possibilities (since there is no restriction on repetition)
Also, we have 4 possibilities for the last space.
Hence, the total number of possible outcomes if the code has 3 letters is 4×4×4 = 4³ = 64.
There are 64 total possible outcomes if the code has 3 letters
The number of letters is given as:
n = 4
The code makes use of three letters.
This means that:
The first letter can be any of the 4 lettersThe second letter can be any of the 4 lettersThe third letter can be any of the 4 lettersSo, the number of possible outcomes is:
Outcomes = 4 * 4 * 4
Evaluate the product
Outcomes = 64
Hence, there are 64 total possible outcomes if the code has 3 letters
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The age of trees in a forest is known to be approximately normal with an average age of 40 years and a standard deviation of 10 years. What is the standardized score for a tree that is 34 years old?
Answer: D. -0.6
Step-by-step explanation:
Z score formula= x-mean/ SD
34-40/10= -3/5= -0.6
The standardized score for a tree that is 34 years old is -0.6
We have given that,
The age of trees in a forest is approximately normal with an average age of 40 years and a standard deviation of 10 years.
We have to determine what is the standardized score for a tree that is 34 years old
What is the Z-score formula?Z score formula= x-mean/ SD
We use the given values in the above formula so we get,
Z score =34-40/10
Z score = -3/5
Z score = -0.6
Therefore, The standardized score for a tree that is 34 years old is -0.6
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A high jumper starts the bar at 48 inches and raises the bar ½ inch after each jump. How high will the bar be after the seventh jump?
Answer: 51.5 inches
Step-by-step explanation: The high jumper will be making seven jumps, increasing by 1/2 inch each time. In order to calculate how much it will be moved up from the original position we need to multiply 1/2 x 7 jumps = 3.5 inches. In order to calculate how high the bar will now be, we need to add together the original 48 inch height plus the 3.5 inches that it was been raised, so they total is 51.5 inches high.
2.What is the slope-intercept form of a line that contains the points (5, - 5) and has a slope of -3?
3. Write an equation of a line that is parallel to y = - 5/2 x + 3 but travels through the origin? (Note: Parallel lines have the same slope.)
Answer:
2. y - (-5) = -3 (x - 5)
3. y = -5/2
Step-by-step explanation:
Point intercept form: y - y₁ = m (x - x₁)
Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.
2. The points are (5, -5) and the slope is -3. Plug this into y - y₁ = m (x - x₁) to get
y - (-5) = -3 (x - 5)
3. As stated, parallel lines have the same slope, so the slope of the line would be -5/2. The origin is (0, 0), so plug these two numbers in.
y - y₁ = m (x - x₁)
y - 0 = -5/2 (x - 0)
y = -5/2
the bag of mass is 1.5kg what is the mass of bag in grams
Answer:
the mass of the bag in grams is 1500
Answer:1500
Step-by-step explanation: Have a good day
In the parallelogram below, AC = 18, BD = 30, and BC = 15. What is the length of EC?
Answer:
30
Step-by-step explanation:
Ellie works in the produce section at a grocery store. The store receives a shipment of green and red apples that weighs 20.4 pounds in total. Ellie separates the green and red apples into bins by color. If red apples make up 1 4 of the shipment by weight, how many pounds of apples are green?
Answer:
15.3
Step-by-step explanation:
Answer:
15.3
Step-by-step explanation:
Does anyone know? Thank you!
Answer:
4/3
if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25
Vertex:
(
2
,
0
)
, Passes through:
(
5
,
−
18
)
Answer:
2>0 5>-18
Step-by-step explanation:
The radius of a circle is 6 meters. What is the area of a sector bounded by a 150 arc
Answer:
47.14 m²
Step-by-step explanation:
Recall that the central angle of a full circle is 2π radians or 360°. The area of the sector bounded by a 150° arc is the fraction
150°
------- times the area of the full circle (πr²):
360°
(15/36)π(6m)² = 0.417(3.14)(36 m² = 47.14 m²
Help ASAP pleaseee lol
I’ve attached my table of what I’ve done
Find the value of the variable. Round your answer to the nearest tenth.
20
x
62°
Answer: 20 x 62 = 1240. X = 1240
Step-by-step explanation: that is the answer al i did was solv ittt
The tables represent the functions f(x) and g(x).
Which input value produces the same output value for
the two functions?
х
f(x)
Х
g(x)
-13
-3
STO
0 - 444
2
NON
O x=-3
O x= -1
O x=0
O x = 1
-5
-1
3
7
1
3
5
1
2
Answer:
Option (4)
Step-by-step explanation:
Input values are always represented by the x values and output values of a function is represented by f(x).
From the table given,
Values under x column are the input values and values under f(x) or gx) column are the output values.
From both the tables, common output values for the same input value (x = 1) are,
f(1) = 3
g(1) = 3
Therefore, Option (4) is the answer.
The input value that produces the same output value for both functions is: D. x = 1
What is a Function?A function is a relation which has exactly one y-value (output value) that corresponds to each x-value (input value) in the relation.
In the function [tex]f(x)[/tex], the input value (x) 1 produces an output value [tex]f(x)[/tex] of 3. Same applies for the function g(x).
Thus, [tex]f(1) = g(1) = 3[/tex]
Therefore, the input value that produces the same output value for both functions is: D. x = 1
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help please !!!! (will give brainliest)
874 x 12 - 1,000 · 4³ = ? ajutatima pls
Answer:
-53512
Step-by-step explanation:
874 x 12 - 1,000 · 4³ (We do exponents 1st)
874 x 12 - 1000 x 64 (Multiply 874 with 12, and 1000 with 64)
10488 - 64000
-53512
Find all values of a such that a x^2 + 3x + 5 = 0 has two real roots.
Answer:
a < 9/20
Step-by-step explanation:
Our equation is the following: ax^2 + 3x + 5
a = unknown
b = 3
c = 5
We are concerned with the discriminant. Namely, b^2 - 4ac must be greater than 0 if we want to real roots
Lets plug in the values:
9 - 4a(5) > 0
9 - 20a > 0
9 > 20a
9/20 > a
a < 9/20
In a quadratic equation given as,
ax² + bx + c = 0
Discriminant of the equation → (b² - 4ac)
For the roots of the equation,
Roots will be real if (b² - 4ac > 0)Roots will be complex if (b² - 4ac < 0)Only one root if b² - 4ac = 0Given quadratic equation in the question is,
ax² + 3x + 5 = 0
Coefficient of x² = a
Coefficient of x = b = 3
Constant term = c = 5
If the roots of this equation are real,
b² - 4ac > 0
(3)² - 4a(5) > 0
9 - 20a > 0
20a < 9
a < [tex]\frac{9}{20}[/tex]
Therefore, for all values of 'a' less than [tex]\frac{9}{20}[/tex], equation will have two real roots.
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pls help! right answer = gets brainiest!! :)
Answer:
x=2, y=1
Step-by-step explanation:
4.4471336•10^2/2.900996•10^3 in scientific notation
Answer:
Step-by-step explanation:
I do not know becuase i am not in the grade it looks like
Math problem A homeowner has two rectangular structures in her backyard. The dimensions of the hot tub are 6 feet by 8 feet. The dimensions of the fire pit are 7 feet by 9 feet. The length of the square backyard is 20 feet. What area of the yard is not covered by the hot tub and fire pit?
Answer:
289feet²
Step-by-step explanation:
Area of a rectangle = length x breadth
area of a square = length²
area of the yard that is not covered by the hot tub and fire pit =
Area of the yard - (area of the hot tub + area of the fire pit)
Area of the yard = 20 feet² = 400 feet²
area of the hot tub = 6 feet² x 8 feet² = 48 feet²
area of the fire pit = 7 feet² x 9 feet² = 63 feet²
400 - (48 + 63) = 289 feet²
The options are
27.65
55.3
62.35
124.7
Answer:
Angle BAC = 62.35
Step-by-step explanation:
Here, we want to get the angle marked BAC
From the diagram, we have the angle ABC as 90
This is because angle at the center is twice the angle at the circumference
Furthermore, using the arc angle relationship;
angle ACB is half arc AB
so ACB angle is 55.3/2 = 27.65
mathematically;
Angle BAC + 27.65 + 90 = 180
This is because sum of angles in a triangle is 180
Thus;
angle BAC = 180-90 - 27.65
angle BAC = 62.35
Name the polynomial and number of terms.
8x + 4x4 – 3x2 + 8
Answer:
I also think there is 4 terms
8x and 4x4 and 3x2 and 8
Marco located the falllow points on a number line which point is not corrtly placed on the number line
Question:
Marco plotted the following points on the number line.
Point A: 0.3 Point B: 3/4 Point C: 11/4 Point D: 0.7
Which point did he plot incorrectly?
Answer:
Point D
Step-by-step explanation:
Given
[tex]Point\ A= 0.3[/tex]
[tex]Point\ B= \frac{3}{4}[/tex]
[tex]Point\ C= \frac{11}{4}[/tex]
[tex]Point\ D= 0.7[/tex]
Required
The incorrectly plotted point
Number plotted on a number line increases from left to right. This implies that:
[tex]A < B < C < D[/tex]
Substitute the values for the given points
[tex]0.3 < \frac{3}{4} < \frac{11}{4} < 0.7[/tex]
Express as fractions
[tex]0.3 < 0.75 < 2.75 < 0.7[/tex]
Up till 2.75, the order of the numbers is correct.
However, 0.7 is less than 0.75 and 2.75
So, 0.7 is not placed correctly.
This implies that point D is not correctly placed
The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm. What is the volume of the pyramid? 48 cm3 72 cm3 32 cm3 60 cm3
Answer:
72cm
Step-by-step explanation:
The volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.
It is given that the perimeter of the base of a right square pyramid is 24 cm and the height of the pyramid is 6 cm.
It is required to find the volume of the right square pyramid.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the formula for finding the volume (V) of a right square pyramid is:
[tex]\rm V= a^2\times\frac{h}{3}[/tex] Where a is the base side and h is the height of the right square pyramid.
[tex]\rm The \ perimeter \ of \ the \ base \ of \ a \right \ square \ pyramid = 4\times(side)[/tex]
[tex]\rm 24 = 4a\\\rm a=6 \ cm[/tex]
And h = 6 cm, putting this value in the above volume formula, wet get:
[tex]\rm V= (6)^2\times\frac{6}{3} \\\rm V= 36\times 2\\\rm V=72 \ cm^3[/tex]
Thus, the volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.
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Derek decorates more cookies. He plots the point (5,10) on the coordinate plane. what is the meaning of point (5, 10)?
A. Derek decorates 5 cookies every 10 mins
B. Derek decorates 10 cookies every 5 mins
(Note that he decorates 2 cookies every minute.)
Answer needed ASAP
Answer:
A. don't know if this helps but with plotting but (x, y) the x always comes first
Answer:
A
Step-by-step explanation:
A. Derek decorates 5 cookies every 10 mins
WILL GIVE BRAINLIEST IF GOTTEN RIGHT DONT ANSWER IF YOU DONT KNOW
Answer:
Option C: I and II
Step-by-step explanation:
When you look at the question, it says that BD and AE is correct. When looking at the options we have to find which ones include BD and AE.
A. "I only" This is incorrect because "I" is not the only answer with BD and AE.
B. "III only" This is also incorrect because "III" doesn't have AE.
C. "I and II" This is correct because both "I" and "II" have BD and AE.
D. "I and III" This is incorrect because it has only BD.
help me please i need someone to convert the fraction 9/16 to a finite decimal the first person to answer will get a brainliest person
PLEASE HELP ME.
Answer: 0.5626
Step-by-step explanation:
just divide 9 by 16
Simplify the radical expression.
√20c^6 d^5
Answer:
the first and second pictures are answer of √5c^6 d^5
the third and fourth pictures are answer of √20c^6 d^5
I hope this helps a little bit .
I need help on a question
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ok now that he mods have nothing on me since this is a math question, THERE IS A GUY WHO IS BAITING GIRLS IN TO LOOK AT THEIR.... parts.... IN A ZO.OM MEETING. HE IS MY MOST RECENT FOLLOWING. CONTACT ALL THE MODS YOU CAN
im not a mod but answers A
Answer:
The answer is A. 7x-3
Step-by-step explanation:
and what do you mean by "ok now that he mods have nothing on me since this is a math question, THERE IS A GUY WHO IS BAITING GIRLS IN TO LOOK AT THEIR.... parts.... IN A ZO.OM MEETING. HE IS MY MOST RECENT FOLLOWING. CONTACT ALL THE MODS YOU CAN" ???
Find the average value of the function y = 2x4 over the interval [- 2,2].
Answer:
ave. val. = -------------- = 0
Step-by-step explanation:
That's y = 2x^4 (the ^ symbol indicates exponentiation).
The average value of a function f(x) over the interval [a, b] is
f(b) - f(a)
ave. val. = ----------------
b - a
Here a = -2, b = 2 and f(x) = 2x^4. Thus, f(a) = 2(-2)^4 = f(b) = 2(2)^4 = 32, and
the average value is:
32 - 32
ave. val. = -------------- = 0
2 - (-2)