9514 1404 393
Answer:
a5 = 48
Step-by-step explanation:
To find the 5th term, put 5 where n is in the formula and do the arithmetic.
[tex]a_5=3(-2)^{5-1}=3(-2)^4=3(16)\\\\\boxed{a_5=48}[/tex]
Answer:
the answer is
a5=48
Step-by-step explanation:
:)))
The Unit Circle
What is the domain of a cosine function?
a. irrational numbers
b. All real numbers
c. rational numbers
d. positive integers
Please select the best answer from the choices provided
Answer:
B. All real numbers
Step-by-step explanation:
I calculated it logically
Answer:
B) All real numbers
The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .
which features describe the graph of y^2/96^2 - x^2/40^2 = 1? select two options
◽️a focus at (104, 0)
◽️a focus at (0, - 96)
◽️a vertex at (- 40, 0)
◽️a vertex at (0, 96)
◽️the center at (0, 0)
Answer: d and e
Step-by-step explanation:
Edge 2021
The option describes graph 4. a vertex at (0, 96), and 5. the center at (0, 0) from the given equation [tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given equation is
[tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]
From the given equation,
a = 40
b = 96
(h,k) = (0,0),
The vertices are at (0,96) and at (0, -96).
The curves open upward and downward.
c² = a² + b²
c² = 40² + 96²
c² = 10816
c = 104
Therefore the foci are at (0, -104) and (0, 104).
Hence, the option describes the graph
4. a vertex at (0, 96) is correct.
5. the center at (0, 0) is correct.
Learn more about equations here;
https://brainly.com/question/27056029
#SPJ2
I need this please help me
9514 1404 393
Answer:
B, C, D
Step-by-step explanation:
In this diagram, all of the acute angles are congruent. Those are angles 2, 4, 6, and 75°. Similarly, all of the obtuse angles are congruent. They are supplementary to the acute angles, so we have angles 1, 3, (x-15)°, and 5 all have measure 180° -75° = 105°.
This means x = 105° +15° = 120°.
The true statements are ...
B. angle 2 = angle 6
C. x = 120°
D. angle 1 and angle 6 are supplementary
HELP ME PLEASEEEEEEEEEEEEEEEEEEE
Answer:
heyy matee...
see
Vertices (V) = 8
Faces (F) = 6
Edges (E) => F + V - E = 2 (EULER'S FORMULA)
so 6 + 8 - 2 = E => E = 12
now just look at options
and however its a common thing that if Vertices are 8 and Faces are 6 and Edges are 12 then it is cube or cuboid
and another name of cuboid is rectangular prism ;)
hence answer is option c - rectangular prism
brainliest possible ?
I need help Asap , please.
LOL LOL LOL LOL LOL LOL LOl LOL
HELP MEEE! I NEED IT RIGHT NOW!
Answer:1/16 for each of us
Step-by-step explanation:
Since only 1/4 is left and you and the teachers are splitting it up,you’d get 1/16 each because the half of 1/4 (1/8) was split into 2 (1/16)
What is the radius of a sphere with a volume of 1203 cm', to the nearest tenth of a
centimeter?
Answer:
The radius of the sphere is of 6.6 centimeters.
Step-by-step explanation:
Volume of an sphere:
The volume of an sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In this question:
[tex]V = 1203 \text{cm}^{3}[/tex]
Replacing into the equation, we find the radius, in centimeters. So
[tex]V = \frac{4\pi r^3}{3}[/tex]
[tex]1203 = \frac{4\pi r^3}{3}[/tex]
[tex]r^3 = \frac{1203*3}{4\pi}[/tex]
[tex]r = \sqrt[3]{\frac{1203*3}{4\pi}}[/tex]
[tex]r = 6.6[/tex]
The radius of the sphere is of 6.6 centimeters.
Which of the following expressions can be set
equal to 2.74x - 7.9 to form an equation that
has no solution?
A 2.74x - 7.9
B 7.9x - 7.9
C 2.74x + 7.9
D 7.9x + 2.74
Given:
The expression is:
[tex]2.74x-7.9[/tex]
To find:
The expressions that can be set equal to the given expression to form an equation that has no solution.
Solution:
We have,
[tex]2.74x-7.9[/tex] ...(i)
An expression whose constant term is different from the given expression but the variable term is same as the given expression, i.e., 2.74, is the required expression.
The expression with same variable term and different constant term is:
[tex]2.74x+7.9[/tex] ...(ii)
Because on equating (i) and (ii), we get
[tex]2.74x-7.9=2.74x+7.9[/tex]
[tex]-7.9=7.9[/tex]
This statement is false for any value of x. So, the equation [tex]2.74x-7.9=2.74x+7.9[/tex] has no solution.
Therefore, the correct option is C.
Find the value of H if H = I^2 R^t÷4.2,R =8.3,I=2.4 and t=37
Answer:
[tex]H = 6492.97[/tex]
Step-by-step explanation:
Given
[tex]H = \frac{I^2Rt}{4.2}[/tex]
[tex]R =8.3;\ I=2.4;\ t=37[/tex]
Required
Find H
We have:
[tex]H = \frac{I^2Rt}{4.2}[/tex]
[tex]H = \frac{37^2 * 8.3 * 2.4}{4.2}[/tex]
Solve the exponents
[tex]H = \frac{1369 * 8.3 * 2.4}{4.2}[/tex]
[tex]H = \frac{27270.48}{4.2}[/tex]
[tex]H = 6492.97[/tex]
the difference of x and y is the same as 3 times the sum of x and 2
Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
can someone help me on this
Answer:
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
[tex] \frac{1}{3} = \frac{2}{6} [/tex]
[tex] \frac{2}{4} = \frac{4}{8} [/tex]
Step-by-step explanation:
To generate equivalent fractions, you can either multiply the numerator and denominator by the same number or divide the numerator and denominator by a number provided the numerator and denominator remains whole number.
Let's solve the given problem:
Problem 1:
[tex] \frac{3}{4} = \frac{x}{12} [/tex]
To find the numerator that will make the fractions equivalent, the numerator would be multiplied by the same number that was used to multiply the denominator of the first fraction (4), from which the denominator of the second fraction (12) was gotten.
Here, the denominator of the first fraction, 4, was multiplied by 3 to get the denominator of the second fraction = 12.
Therefore, the numerator of the second fraction would be gotten by multiplying the numerator of the first fraction, 3 by 3 = 9.
Thus:
[tex] \frac{3}{4} = \frac{3*3}{4*3} [/tex]
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
Both fractions are now equivalent because they now have the same value. 3÷4 will give you the same value as 9÷12.
Problem 2:
[tex] \frac{1}{3} = \frac{2}{x} [/tex]
The numerator, 1, was multiplied by 2 to get 2.
Therefore:
[tex] \frac{1}{3} = \frac{1*2}{3*2} [/tex]
[tex] \frac{1}{3} = \frac{2}{6} [/tex]
Problem 3:
[tex] \frac{2}{4} = \frac{x}{y} [/tex]
We can either divide the denominator and numerator by the same number which should remain a whole number, or multiply the denominator and numerator by the same number.
Let's multiply by 2 to get am equivalent fraction.
[tex] \frac{2}{4} = \frac{2*2}{4*2} [/tex]
[tex] \frac{2}{4} = \frac{4}{8} [/tex]
Find the measure of HJK
Answer:
m<HJK = 40°
Step-by-step explanation:
Given:
m<HJK = 3x - 2
m<KJL = 50°
Required:
m<HJK
Solution:
m<HJK + m<KJL = 90° (complementary angle)
Substitute
3x - 2 + 50 = 90
Add like terms
3x + 48 = 90
3x + 48 - 48 = 90 - 48
3x = 42
3x/3 = 42/3
x = 14
✅m<HJK = 3x - 2
Plug in the value of x
m<HJK = 3(14) - 2 = 42 - 2
m<HJK = 40°
Which is a shrink of an exponential growth function?
f(x) = One-third(3)x
f(x) = 3(3)x
f(x) = One-third (one-third) Superscript x
f(x) = 3 (one-third) Superscript x
Answer:
3 zero
Step-by-step explanation:
Answer:
The correct answer is A
Step-by-step explanation:
Hope This Helps
Practice:
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0)
-112°
a. 0.98 units
b. 0.62 units
c. 0.62 units clockwise
d. 1.95 units clockwise
Please select the best answer from the choices provided
Answer:
D. 1.95 units clockwise
Step-by-step explanation:
I calculated it logically
PLEASE HELP ME PLEASEE !
Answer:
[tex]\sigma = 0.831[/tex] --- Standard deviation
[tex]Mode = 10[/tex]
Step-by-step explanation:
Given
[tex]x = 9,8,10,9,8,10,9,10,8,10[/tex]
Solving (a): The population standard deviation
First, we calculate the mean
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{9+8+10+9+8+10+9+10+8+10}{10}[/tex]
[tex]\bar x = \frac{91}{10}[/tex]
[tex]\bar x = 9.1[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{\frac{1}{n}\sum (x - \bar x)^2}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{1}{10}*[(9 - 9.1)^2+.................+(10- 9.1)^2]}[/tex]
[tex]\sigma = \sqrt{\frac{1}{10}*6.9}[/tex]
[tex]\sigma = \sqrt{0.69}[/tex]
[tex]\sigma = 0.831[/tex]
The mode is:
[tex]Mode = 10[/tex]
10 has the highest frequency of 4
Julie has basketball practice every 6 days and track practice every 4 days. In how many days will she have both basketball and track practice
Answer: 12 days
Step-by-step explanation:
For us to know the number of days whereby Julie will have both basketball and track practice, we've to find the lowest common multiple of both 6 and 4. This will be:
Multiples of 4 = 4, 8, 12, 16, 24.
Multiples of 6 = 6, 12, 18, 24, 30.
The lowest common multiple is 12. Therefore, she'll have basketball and track practice in 12 days
Which of the following equations represents a proportional relationship?
6/9 = 24/32
8/3 = 36/14
3/2 = 15/12
4/8 = 15/30
Evaluate the expression (2x + 5)2 -3x at the value x = -1
Answer:
2
Step-by-step explanation:
Cube X has Edge 1 in. tube why has an edge 4in longer than Cube X. which of the following describes the relationship between the cubes?
a. the volume of cube why is 125 times the volume of cube X
b. the volume of cube why is 25 times the volume of Cube X
c. the volume of cube x is 1/4 the volume of Cube Y
d. the volume of cube x is 1/5 the volume of Cube Y
9514 1404 393
Answer:
a. the volume of cube y is 125 times the volume of cube x
Step-by-step explanation:
The volume of cube x is ...
V = s³ = (1 in)³ = 1 in³
The volume of cube y is ...
V = (1 in + 4 in)³ = (5 in)³ = 125 in³
The volume of cube y is 125 times the volume of cube x.
4. Triangle Relationships- Interior and Exterior Angles
Find the measure of angle 1 and angle 2. Be sure to show all work related to each answer.
S
a. m21
42°
1/2
30°
M
b. M22
A
Answer:
Value of ∠1 = 102°
Value of ∠1 = 72°
Step-by-step explanation:
Given:
∠ S = 42°
∠ A = 30°
Find:
Value of ∠1
Value of ∠2
Computation:
Using angle sum property;
Sum of all interior angle of a triangle = 180°
∠ S + ∠ A + ∠ 1 = 180
42 + 30 + ∠ 1 = 180
72 + ∠ 1 = 180
∠ 1 = 180 - 72
∠ 1 = 102
Value of ∠1 = 102°
∠ 1 and ∠ 2 makes a straight line
So,
∠ 1 + ∠ 2 = 180
102 + ∠ 2 = 180
∠ 2 = 180 - 102
∠ 2 = 72
Value of ∠1 = 72°
ANSWER FAST
NO LINKS
23=x-13
9+x=14
12=x+8
Answer:
23=x-13, x=36
9+x=14, x=5
12=x+8, x=4
Step-by-step explanation:
23=x-13. You want to isolate x so you have to add 13 to both sides. x=23+13, x=36
9+x=14. You want to isolate x so you have to subtract 9 from both sides. x=14-9, x=5.
12=x+8. You want to isolate x so you have to subtract 8 from both sides. x=4.
If this has helped please mark as brainliest
A manufacturer has 5,634 pens to divide into packs of 4 pens. The manufacturer makes as many packs as possible.
How many packs of pens does the manufacturer make, and how many pens are left over?
Answer:
1408 packs
2 pens left over
Step-by-step explanation:
5634 / 4 = 1,408.5
half a pack is 2 pens
1408 packs
2 pens left over
The population of a city increases by 4.7% per year. If this
year's population is 77,000, what will next year's population
be, to the nearest individual?
Enter "y" or "n" to tell which value of x that make each equation or inequality true.
Answer:
First row (2x + 5 = 9) is N Y N
Second row (2x + 5 < 9) is Y N Y
Third Row (2x+ 5 _< 9) is N Y Y
Find the missing number in each sequence
Will give Brainliest
Answer:
8. 24.5
9. 29.6
Step-by-step explanation:
Answer:
8. 24.5
9. 29.6
Step-by-step explanation:
FRACTION. 24.5 as a Fraction in simplest form 24 1/2
29.6 as a fraction is 29 3/5
plz mark brainly
A group of cat owners was asked about the number of cats each owns. The results are shown in the frequency table. Number of Frequency cats 1 2 2 3 3 3 1 4 4 Which dot plot correctly shows the data? Cats Owned O A. 3 Number of cats Cats Owned B. 2 3 Number of cats Cats Owned 2 Number of cats Cats Owned
Answer:
Cats Owned B. 2 3
Hope I helped! :)
David measures a side of a piece of wood. The length is 8 feet and the width is one-half of the
length. What is the area, in square feet, of the piece of wood?
Formula:
Area = Length x Width
Answer:
32
Step-by-step explanation:
8÷2=4 8(length)x4(width)=32(area)
Angles of Triangles Scavenger Hunt Answer Key
Show all 4 steps of the following:
x - 3/5= 1/6
Answer: x=23/30
Step-by-step explanation: Hope this help :D
A circle has a circumference of 113.04 units.
Answer:
The answer may or may not be either the diameter is 36 units, or the radius is 18 units.
Step-by-step explanation:
Since there is no question, then I am just assuming the question is what is the diameter or the radius. You would find this by dividing the circumference by pi:
113.04 / 3.14 = the diameter is 36
36 / 2 = the radius is 18
I hope this was helpful!!! Could I get brainliest?
Have a nice day!!