Answer: The average rate of change for an exponential function grows by equal factor per unit interval.
Step-by-step explanation:
The general exponential equation for growth is given by:-
[tex]y=Ab^x[/tex], where
A= initial value
b= Multiplicative growth rate
x = time period
For each value of x, the value of y increases by an equal value of multiplicative factor ( b).
For example: at x=0 , [tex]y=A[/tex]
at x=1, [tex]y=Ab[/tex]
at x= 2, [tex]y=Ab^2[/tex]
Hence, the average rate of change for an exponential function grows by equal factor per unit interval.
The sum of three consecutive integers is greater than 66. What is the smallest possible product of the largest and smallest of these integers?
Please help me on this
Answer:
528
Step-by-step explanation:
So naturally at first sight for this question we would think -->
Oh 3 consecutive integers = 66 --> 66/3 = 22 (n-1), (n+1) so --> 21, 22, and 23.
But no. At second look it is the sum of 3 consecutive integers is greater than 66. So we find the next possible pair since it says smallest possible product.
We get the set (22, 23, 24). => Multiply the least and greatest integers together respectively 22 and 24 which amounts to => 528
And thus, we have out answer of 528
Hope this helps!
Aiyanna wrote the ratio 3:5 to compare the number of pairs of shorts that she owns to the number of pairs of jeans that she owns. Which is equivalent to Aiyanna's ratio?
Answer:
3/5
3:5 and 3/5 and 0.6 are the same thing just in different forms
You can convert by putting it into a fraction and dividing the fraction
3:5 becomes 3/5 and 3 divided by 5 = 0.6
Hope this helps
Step-by-step explanation:
Express 3*(4*5) as a common fraction given a*b= (ab)/(a+b) .
Sorry, not sure I understand. (ab)/(a+b) is NOT equal to a*b, as a*b is the same thing as ab.
Are these ratios equivalent?3 feet every 4 seconds,15 feet every 20 seconds.
Answer:
Hey there!
These ratios are equivalent.
The given ratio is 3:4
If we multiply both sides by 5, we will get 15:20.
Thus, the ratios are equivalent.
Let me know if this helps :)
Answer:
What does the tense of the underlined verb reveal about the subject?
The event took place in the past continuously but concluded prior to another past event.
The event took place in the past continuously.
The event concluded prior to another past event.
The event has been completed.
Step-by-step explanation:
last one , somebody help me please .
Answer:
4x -2 = -2x +6
Step-by-step explanation:
The red is negative
4x -2 = -2x +6
Answer:
B
Step-by-step explanation:
In a car race, for every mile covered by car A, car B covered 4 miles. The ratio of the number of miles covered by car A to the number of miles covered by car B is
1 to 1
4 to 4
4 to 1
1 to 4
Answer:
1 to 4 (1:4)
Step-by-step explanation:
every 1 mile to every 4 miles
car A 1 mile to car B 4 miles
Answer:
whats the question?
Step-by-step explanation:
which of the following represents a term from 3x^2+8x-10
Answer:
3x^2 or 8x
Step-by-step explanation:
6.) Polygons that do
not have all sides
equal and/or all
angles equal
Answer:
....................trapezium
Answer:
trapezoid or trapezium
Step-by-step explanation:
Hamish and hairy work as plumbers. Harry earns a dollar more than 5/4 The amount Hamish orange per hour. The amount Harry earns per hour is two dollars less than 7/5the amount Hamish and per hour. How much does each of them earn per hour?
Answer:
Harry earns 26 and Hamish earns 20
Step-by-step explanation:
The computation of the amount earned by each one of them is shown below:
Let us assume the hairy be Y
And, the Hamish be M
It is given that Harry earns a dollar i.e more than 5/4
And, it is $2 less than 7/5
So, the equation would be
y = 1.25m + 1 ...........................(i)
And,
y= 1.4m -2 .............................(ii)
Now equal both the equations
1.25m + 1 = 1.4m - 2
3 = 0.15m
So, m = 20
Now put the values of m in any of the above equation to find out the value of Y
Y = 1.25m + 1
= 1.25 (20) + 1
= 26
-6+4q+(-6q) help me with this expression please
Answer:
-2q - 6
Step-by-step explanation:
Step 1: Rewrite expression
-6 + 4q - 6q
Step 2: Combine like terms
-6 - 2q
Step 3: Rearrange
-2q - 6
Answer:
The like terms are 4q and -6q. Since 4q + (-6q) = -2q the answer is -6 - 2q.
Lines m and n are parallel. Lines m and n are parallel. Lines s and t intersect lines m and n to form a triangle. The top angle of the triangle is (2 x) degrees. At the intersection of lines s and n, the top left angle is 100 degrees. At the intersection of lines n and 7, the bottom left angle is 70 degrees. What is the value of x? 10 15 30 35
Answer:
B: 15
Step-by-step explanation:
I got it right on Edge
The value of 'x' in the top angle is 5 degrees.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, The angle formed at the top of the triangle is 2x° and the angle formed at the intersection of s and n is 70° and at t and n is 100°.
We know the sum of all the interior angles in a triangle is 180°.
Therefor, 2x + 100° + 70° = 180°.
2x = 10°.
x = 5°.
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A person can do a job in 6 days. Another can do the same job in 4 days. If they work together, how long do they need to finish the job?
Answer:
2.4 days
Step-by-step explanation:
Time working together,t ,is
1/t = 1/a+ 1/b where a and b is the times working alone
1/t = 1/4 + 1/6
Multiply each side by 12t to clear the fractions
12t( 1/t )= 12t(1/4 + 1/6)
12 = 3t+2t
12 = 5t
Divide by 5
12/5 = 5t/5
2 2/5 =t
2.4 days
Answer:
2.4 days
Step-by-step explanation:
i just took a test and got a 100%
1.
Identify the translation of the parent function for y = [xl - 6.
6 units left
6 units up
6 unit right
6 units down
Answer:
6 units down
Step-by-step explanation:
Transformation is the movement of a point from its original position to a new position. If an object is transformed, all the point making the object is also transformed. There are four different transformations: Reflection, dilation, translation and rotation.
If y = f(x), y = f(x) + k is a translation k units up if k > 0 and is a translation k units down if k < 0
Given that the parent function is an absolute value represented by:
y = |x|
Therefore comparing y = |xl - 6 with y = f(x) + k, k < 0, therefore this is a translation of 6 units down
The graph below shows the daily high temperature and bottled water sales for a street vendor. Daily High Temperatures and Bottled Water Sales A graph has temperature (degrees Fahrenheit) on the x-axis and number of bottles sold on the y-axis. Points are scattered all over the graph. What relationship exists between the daily high temperature and bottled water sales? no correlation a positive correlation a negative correlation a weak correlation
Answer:
No correlation
Step-by-step explanation:
You said that Points are scattered all over the graph so The two quantities on x-axis and y-axis have no correlation. No correlation is when the points are scattered all over the graph and have no connection between them. No correlation means they have no relation between them.
Answer:
No correlation
Step-by-step explanation:
The crridnents are placed randomly about so they do not form a trend line therefor making it no correlation.
An audiologist is testing a patient to determine the softest sound of a specific frequency that the patient reports hearing. She begins with a 10 decibel (dB) sound for trial 1, then increases the volume by 2 dB for each trial after that. If the patient can hear all sounds of that frequency that have a volume louder than 26 dB, and t represents the trial numbers that the patient can hear, which of the following inequalities best models the situation described above?
Answer:
26 <t+2
Step-by-step explanation:
The volume has to be louder than 26 so the inequaltiy sign should be an x is greater than sign and the intervals increase by 2 so you can add 2 to each x.
Hope this helps!
14. An animal shelter has a ratio of dogs to cats that's 3:2. If there are 30 cats at the shelter, how many dogs are there?
A. 45
B. 90
C. 15
D. 20
Answer:
your answer would be 45 I hope this was helpful
Step-by-step explanation:
Answer:
The answer is A, 45.
Step-by-step explanation:
The following quadrilateral is a parallelogram.
W
V
12
?
T
11.5
Side WT is
units long
Answer:
12
Step-by-step explanation:
By definition, opposite sides of a parallelogram are congruent.
Task: E = mc2
E = mc2 is one of the most recognizable equations in the world. Published by Albert Einstein in 1905, the
equation describes a fundamental relationship between energy, E, and matter (or mass), m. But what exactly
is the relationship? What does it mean? In this task, you will parse, or analyze the parts.of the equation in
order to understand it better. Let's start with what the variables represent: E stands for energy, m stands for
mass, and c stands for the speed of light. Use these definitions to complete the exercises below.
4. [10 points] Rewrite the equation to solve for the speed of light, c. Use rational exponents instead of
roots (radicals).
Answer:
[tex]$c=\left(\frac{E}{m} \right)^{\frac{1}{2} }$[/tex]
Step-by-step explanation:
[tex]E = mc^2[/tex]
[tex]$c^2=\frac{E}{m} $[/tex]
[tex]$c=\sqrt{\frac{E}{m} } $[/tex]
or
[tex]$c=\left(\frac{E}{m} \right)^{\frac{1}{2} }$[/tex]
The equation will be , C= (E/3)^1/2
What is Algebra?Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division.
Algebraic ExpressionsAn algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.
Given:
E = mc^2
c² = E/m
c= √ (E/m)
or,
C= (E/m) ^1/2
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250 people went to a "couples only" party at 9pm.70 people left at 11pm, how many couples stayed at the party?
Answer:
90
Step-by-step explanation:
Total People = 250
Left the party at 11 pm = 70
Stayed = 250-70
=> 180
Couples that stayed = 180/2
=> 90
Answer:
90 Couples
Step-by-step explanation:
There were 250 total people at the beginning at the party. 70 people left at 11pm.
Subtract 70 from 250:
[tex]250-70=180[/tex]
There were 180 people that stayed.
A couple consists of two people. The question asks how many couples stayed at the party, not people.
Divide 180 by 2:
[tex]\frac{180}{2}= 90[/tex]
There would be 90 couples that stayed at the party.
Find the measure of angle C of a triangle ABC, if: d m∠A = 60°+α, m∠B = 60°−α
Answer:
60°
Step-by-step explanation:
DISCLAIMER:
the triangle is the pic is for representation purposes only.
Or in other words, we don't know what kind of a triangle is given so I just randomly draw an Acute triangle.
Anyway, if you have any questions about the way I solved it, don't hesitate to ask :)
Suppose a cube is given. How many different triangles can be formed by connecting 3 of the vertices of the cube?
I think the answer might be 10
what is the formula for tan theta
Answer:
sin(theta) = a / c csc(theta) = 1 / sin(theta) = c / a
cos(theta) = b / c sec(theta) = 1 / cos(theta) = c / b
tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a
Step-by-step explanation:
Answer:
sin(theta) = a / c csc(theta) = 1 / sin(theta) = c / a
cos(theta) = b / c sec(theta) = 1 / cos(theta) = c / b
tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a
IF YOU ANSWER THE QUESTIONS ALL CORRECT I WILL MARK YOU BRAINIEST!
1. What is the interquartile range of the data set shown? {3,4,4,5,7,10,11,12,15}
2. What is the upper quartile of this data set? {66,66,67,69,70,72,72,73,75}
3. What is the lower quartile of the following data set? {23,23,24,27,31,33,34,38,40}
Answer:
IQR = 7.5
UQ = 72
LQ = 24
Answer:
1. 7.8888888888889
2. 70
3.23,23,24,27,31,33,34,38,40
ABCD is a parallelogram. Find the measure of angle , (Give reason)
Answer:
D=100(opposites angles are equal)
A=C=80 (adj angles are supplementry)
Step-by-step explanation:
Answer:
x = 80
y = 100
z = 80
Step-by-step explanation:
In a parallelogram, opposite angles are congruent. Thus, angle y = 100 degrees. In a parallelogram adjacent angles are supplementary so angle x and z are 80 degrees.
Hope it helps <3
PLEASE I NEED AWANSER NOW The Stem-and-Leaf Plot and the Box-and-Whisker Plot here display the number of shoes sold daily in a 12-day sale held in a shoe-store at the local supermarket. What is the range of this data set? A.(20 B.(29 C.(24 D.(26
Answer:
c
Step-by-step explanation:
Answer:
(d) makes sense to me!!
Step-by-step explanation:
What is the 7th term in the sequence of square numbers?
Answer:
49
Step-by-step explanation:
The n th term of square numbers is calculated using
[tex]a_{n}[/tex] = n²
Thus for the 7 th term, let n = 7 , that is
a₇ = 7² = 49
helpp i got -4 am i correct?
Answer:
-4
Step-by-step explanation:
Slope is rise over run:
[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]
The table is a linear function, so any two points from the table would have a consistent slope.
Pick two points and apply them to the formula:
(-4,-2) and (-2, -10)
[tex]m=\frac{-10+2}{-2+4}=\frac{-8}{2}=\boxed{-4}[/tex]
The slope is -4. Yes, your answer should be correct.
Given: QR I PT and ZQPR = ZSTR
Angles Segments Triangles Statements Reasons
Prove: APQR - ATSR
ZQPR
ZQRP
ZSRT
ZSTR
Q
Statements
Reasons
S
R
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Intro
To prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof stating the statements with their reasons:
S1: QR is perpendicular to PT
R1: Given
S2: <QRP and <SRT are right angles
R2: Definition of perpendicular
S3: <QPR = <STR
R3: Given
S4: <QRP = <SRT
R4: All right angles are congruent
S5: Triangle PQR is similar to triangle TSR
R5: AA Similarity Theorem
What is the AA Similarity Theorem?According to AA Similarity Theorem, if two triangles have two pairs of congruent angles, then both triangles are similar to each other.Therefore, to prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof statimg the statements with their reasons:
S1: QR is perpendicular to PT
R1: Given
S2: <QRP and <SRT are right angles
R2: Definition of perpendicular
S3: <QPR = <STR
R3: Given
S4: <QRP = <SRT
R4: All right angles are congruent
S5: Triangle PQR is similar to triangle TSR
R5: AA Similarity Theorem
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Answer:
Step-by-step explanation:
y = x^2 + 2x - 8 Solve with zeros
Answer:
x=-4 x=2
Step-by-step explanation:
y = x^2 + 2x - 8
Set equal to zero
0 = x^2 + 2x - 8
Factor
What two numbers multiply to -8 and add to 2
4 * -2 = -8
4+-2 = 2
0=(x+4) ( x-2)
Using the zero product property
x+4 =0 x-2 =0
x=-4 x=2
A
B
a
If c = 16 and B = 67, find a.
a. 4.5
b. 5.6
C. 6.3
d. 7.4
Please select the best answer from the choices provided
СА
ОВ
Answer:
a
Step-by-step explanation:
The measure of side a is 6.3 unit.
What is Sine law?The ratios of the length of a side to the sine of the angle opposite the side must all be the same if A, B, and C are the measurements of the angles of an oblique triangle and a, b, and c are the lengths of the corresponding sides.
Given:
c= 16 and B= 67 degree
<C= 90 degree
Using sine law
b / sin B = c / sin C
b / sin 67 = 16 / sin 90
b/ sin 67 = 16 / 1
b = 16 sin 67
b = 16 x 0.9205
b = 14. 728
Using sine law
c / sin C = a / sin A
16 / sin 90 = a / sin 23
16 = a / sin 23
a = 6.25
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