Answer:
D. 5
Step-by-step explanation:
a geometric sequence is defined that any item of the sequence is created by multiplying the previous item of the sequence with a constant factor (it is the same factor for every item in the sequence).
so, we have the starting value
a1 = 3
then
a2 = 15
what is a multiplication factor to go from 3 to 15 ?
well, 5. I need to multiply a1 by 5 to get a2.
and this continues.
a3 = a2×5 = 15×5 = 75
a4 = a3×5 = 75×5 = 375
and so on.
the ratio of the sequence is simply the relation of one sequence item to the previous one :
an/an-1
and that is here for the described reasons 5.
The ratio of boys to girls in a dass in a dass is 4.3 if There are 20 boys in the class. How many are girls!
fifteen girls are there
Answer:
15 girls
Step-by-step explanation:
It helps when you stack the ratio and # of ppl, so:
4:3
20:x
How do you get from 4 to 20? You multiply 5.
Now do that to the other side, you get 15.
Hope this is helpful ^^
Please help immediately, this is urgent!!! If you see this please answer my question.
Answer:
It is the second option down
Step-by-step explanation:
I could really use some help
Answer:
045
Step-by-step explanation:
North is equal to 360 or 0 degrees. East is equal to 90 degrees because that is 1/4 of 360.
Thus, northeast is 45 degrees. This image may help.
Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic? Need help!!
Answer:
$0.25
Step-by-step explanation:
Let's represent the comics by assigning it the letter C.
20C = $5.00
C = $5.00/20
= $0.25
We can confirm this by using the example where he uses 30 comics.
30C = $7.50
C = $7.50/30
= $0.25.
Therefore each comic costs $0.25
Which of the following statements is false ?
Answer:
The bases of an isosceles trapezoid are congruent is false.
Step-by-step explanation:
Let's analyse each option.
In a Rhombus, the diagonals are perpendicular at the point of intersection and bisect each other is true.
In isosceles trapezoid, the sides are congruent but not the bases. So, this incorrect!
The rectangle is an Equi-angular because all the angles are equal. So, this is true.
The base angles are congruent in isosceles trapezoid. So, this is true too.
Which set of ordered pairs does NOT represent a function?
{(0, 0), (1, 1), (2, 2), (3, 3)}
(0, 0), (0, 1), (1, 2), (1, 3)}
{(1,0), (2, 0), (3, 0), (4, 0)}
{(0, 1), (1, 2), (2, 3), (3, 4)}
Answer: (0, 0), (0, 1), (1, 2), (1, 3) does NOT represent a function
Step-by-step explanation:
to tell whether a set of ordered pairs are functions or not, all domains must have different ranges!
range: x-axis (0,0)
domain: y-axis (0,0)
pair 1:
all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs
pair 2:
all the ranges - 0, 0, 1, 1 - are NOT all different, which means it is NOT a set of ordered pairs
pair 3:
all the ranges - 1, 2, 3, 4 - are different, which means it IS a set of ordered pairs
pair 4:
all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs
let me know if you have any more questions or if i made any mistakes. hope this helped, and good luck! ˶ˆ꒳ˆ˵
(5,8) and (x, 12) slope is -2, find x
PLEASE HELP ASAP
Please help me anyone
Answer:
Step-by-step explanation:
y = x^2 + 4
x = 11 Put this value in wherever you see an x on the right.
y = 11^2 + 4
11^2 = 11 * 11 = 121
y = 121 + 4
y = 125
May I sincerely get some help on this, please?
Answer:
B
Step-by-step explanation:
I have attached the explanation above. This is all I can do. Hopefully this will help
Jamie bought a new pair of jeans for $\$10$ because the price marked was $75\%$ off the original price. What was the original price of the pair of jeans?
Answer:
$40
Step-by-step explanation:
Let
Original price = x
Selling price = $10
Discount = 75%
Selling price = original price - (Discount * original price)
10 = x - 75% of x
10 = x - 0.75 * x
10 = x - 0.75x
10 = 0.25x
x = 10/0.25
x = 40
Original price = x = $40
What is the missing justification?
transitive property
reflexive property
symmetric property
substitution property
Answer:
Transitive property
Step-by-step explanation:
Given
See attachment
Required
The missing property?
In step 1, we have:
[tex]\angle A \cong \angle B,\ \angle C \cong \angle B[/tex]
Transitive property states that:
If [tex]a = b[/tex] and [tex]b = c[/tex]
Then [tex]a = c[/tex]
Similarly:
If [tex]\angle A \cong \angle B[/tex] and [tex]\angle C \cong \angle B[/tex]
Then [tex]\angle A \cong \angle C[/tex] --- step 3
Hence, we can conclude that the transitive property is the missing justification
what number goes in the blank?? NEED HELP ASAPPP
SOLVE EQUATION
solve for x
|3x+19|=13
Answer:
answer is 20............
Step-by-step explanation:
3x=13-19
x= -6/3
x= -2
Answer:
= -2
Step-by-step explanation:
3x+19=13
3x=13-19
3x/3= 6/3
X= -2
Answer from Gauthmath
Which of these figures has rational symmetry?
Answer:
a is the answer parallelogram is a rotational symmetry
Which numbers belong to the solution set of the inequality?
6x < 48
A. 1,3,5,8
B. 2,4,5,7
C. 7,9,13,16
D. 9, 12, 14, 20
Answer:
B. 2, 4, 5, 7
Step-by-step explanation:
6x<48
Divide by 6 on both sides:
x < 8 (excluding 8)
You can test values greater than 8, and if it yields false, then try different numbers.
Hope this helps!
Which division problem does the number line best illustrate
Answer:
10 ÷2 = 5
Step-by-step explanation:
10 is the final number
It is grouped in 2's
10 ÷2 = 5
which statements are true about function h?
Answer:
statement 1 is the true answer
The correct statements about function h(x) are:
1) As x approaches ∞, h(x) approaches ∞
2) The y-intercept is (0, 5)
3) The domain of a function h(x) is [tex](-\infty, \infty)[/tex]
4) As x approaches -∞, h(x) approaches -∞
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is exponential function?"A function of the form [tex]f(x)=a^x[/tex], where “x” is a variable and “a” is a constant."
What is domain?"It is a set of all possible input values for which a function is well defined."
What is range?"It is a set of all possible output values."
What is intercept?"It is a point at which the graph of the function intersects the X-axis or Y-axis."
For given question,
A function [tex]f(x)=x^{\frac{1}{3} }[/tex] is transformed to function [tex]h(x)=(2x)^{\frac{1}{3} }+5[/tex]
The domain of function h(x) is all real values.
To find the y-intercept, substitute x = 0
[tex]\Rightarrow h(0)=(2\times 0)^{\frac{1}{3} }+5\\\\ \Rightarrow h(0)=5[/tex]
So, the y-intercept of function h(x) is (0, 5)
To find the x-intercept, substitute y = 0 i.e., h(x) = 0
[tex]\Rightarrow 0=(2x)^{\frac{1}{3} }+5\\\\\Rightarrow (2x)^{\frac{1}{3} }=-5\\\\\Rightarrow 2x=-125\\\\\Rightarrow x=-62.5[/tex]
This means, the x-intercept of h(x) is (-62.5, 0)
From the graph of the function h(x), we can observe that as x approaches -∞ then h(x) approaches -∞ and as x approaches ∞ then h(x) approaches ∞
Therefore, the correct statements about function h(x) are:
1) As x approaches ∞, h(x) approaches ∞
2) The y-intercept is (0, 5)
3) The domain of a function h(x) is [tex](-\infty, \infty)[/tex]
4) As x approaches -∞, h(x) approaches -∞
Learn more about the function here:
https://brainly.com/question/13461298
#SPJ2
Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are different, but the yintercepts are the same. How
many solutions would you expect for this system of equations?
O A. 1
O B. cannot be determined
O C. O
D. infinitely many
Answer:
Option A
Step-by-step explanation:
If the system of equations are,
y = m₁x + b
y = m₂x + b
Since, m₁ ≠ m₂ both the lines will be different (not parallel)
Therefore, the will be at least one solution of the given system of equations.
Option A will be the answer.
Eric and Shiloh each have a savings account. The ratio of Eric’s account balance to Shiloh’s account balance is 4:3. Together they have a total of $140 in their accounts. Use the tape diagram below to help you determine the balance of Eric’s account. [Type your answer as a number.]
Answer:
Eric 80
Step-by-step explanation:
Take 4+3 = 7
140 /7 = 20
There is 20 in each block
Eric gets 4 of the blocks so 4*20 = 80
Shiloh gets 3 of the blocks 3*20 = 60
Answer:
80
Step-by-step explanation:
4 : 3
4x + 3x = 140
7x = 140
x =20
4*20 = eric's amount
= 80
Select the expression that shows the distributive property applied to
13(2+9).
18 of 29 QUESTIONS
13(9+2)
13. 2+ 9
13. 2+ 13.9
13. 2+ 2.9
3rd option is correct
13 × 2 + 13 × 9
Plz someone do this I’ll give you a lot of points
Answer:
DC is congruent to CZ
Step-by-step explanation:
We know two angles are congruent so we need to have the side that is included between those angles so we say that
DC is congruent to CZ
The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?
Answer:
Yes it can
Step-by-step explanation:
To check wether it's a right angle triangle we need to apply the Pythagoras theorem
h^2= a^2 +b^2
Hypotenuse is always the longest side so
5^2 = 3^2 + 4^2
This is correct, so the triangle is a right angle triangle
Answer from Gauthmath
In the following table of values, the first differences are
x y First Difference
-2 34
-1 27
0 20
1 13
2 6
Answer:
-7
Step-by-step explanation:
Given
[tex]\begin{array}{ccc}x & {y} & {First\ difference} & {-2} & {34} & {}&{-1} & {27} & {} &{0} & {20} & {} & {1} & {13} & {} & {2} & {6} &{} \ \end{array}[/tex]
Required
The first difference
To do this, we simply calculate the difference between the consecutive y-values.
i.e.
[tex]d = y_{n+1} - y_n[/tex]
So, we have:
[tex]d = y_2 - y_1 = 27 - 34 = -7[/tex]
[tex]d = y_3 - y_2 = 20 - 27 = -7[/tex]
[tex]d = y_4 - y_3 = 13 - 20 = -7[/tex]
[tex]d = y_5 - y_4 = 6-13 = -7[/tex]
Hence, the first differences are -7 (all through)
Classify the triangle.
O obtuse
O equiangular
Oright
O acute
Answer:
right
Step-by-step explanation:
The box in the lower corner means that the angle is equal to 90 degrees, which means the angle is a right angle
The triangle is a right triangle
Answer:
Right
Step-by-step explanation:
Types of triangle classifications
Acute: a triangle with all angle measures less than 90 degrees
Obtuse: a triangle with an angle of more than 90 degrees
Right: a triangle with a right angle.
Equilateral: a triangle with all equal angles ( more specifically all 60 degree angles )
Now let's look back at the question
Classify the type of triangle
Well looking at the triangle the triangle has a right angle ( indicated by the little square at the bottom left of the triangle)
A triangle with a right angle is known as a right triangle
How to change the decimal 4.5 into a fraction
4.5
= 4.5/1
= 4.5/1.0
= 45/10 [Shifting the decimal to right]
= 9/2 [Reducing to the simplest form]
So, the answer is 9/2.
{(2,-3),(3,-1),(2,3),(4,6),(6,6)}
Are the ordered pairs a function or not?
Answer:
Its a domain
Step-by-step explanation:
Domain:{2,3,4,6}
Suppose you have D12000 to save . You have to save some amount at 10% and the rest at 15% how much should be saved at each rate to yield 12% on the total amount saved
Answer:
$7200 at 10%
$4800 at 15%
Step-by-step explanation:
Find the AAS postulate?
Answer:
<T ≅ <A
Step-by-step explanation:
The AAS Postulate states that two triangles are congruent of the two angles and a mon-included side of one triangle are congruent to the corresponding two angles and mon-included side of the other.
From the diagram given, we know that
Non-included side UC in ∆TUC is congruent to non-included side UC in ∆AUC.
Also, we know that <U in ∆TUC is congruent to <U in ∆AUC (vertical angles are congruent)
We are not given if <T is congruent to <A or not. Therefore, the additional information that is required to know that both triangles are congruent by the AAS Postulate would be:
<T ≅ <A
PLZ HELP ASAP ILL MARK BRAINLIEST!
what are the leading coefficient and degree of the polynomial?
9y+8-y^2+12y^4
Polynomial degree : 2
Leading coefficient : 11
Answer:
The degree of the polynomial is 4.
The leading coefficient of the polynomial is 12.
Step-by-step explanation:
The degree of the polynomial is the highest power in the polynomial.
The highest power in the given polynomial is 4.
The leading coefficient of the polynomial is 12.
Instructions: Find the missing side of the triangle.
48
50
Answer:
x = 14
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
48 ^2 + x^2 = 50^2
2304+x^2=2500
x^2 = 2500-2304
x^2 =196
Taking the square root of each side
sqrt(x^2) = sqrt(196)
x = 14
Answer:
14
Step-by-step explanation:
Use A^2+B^2=C^2
A=48
C=50
So B=sqrt(C^2-A^2)
B=sqrt(50^2-48^2)
B=sqrt(2500-2304)
B=sqrt(196)
B=14