The height of the screen will be;
⇒ h = 28 inches
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
A flat screen television is a rectangle with a 53-invh diagonal and a width of 45 inches.
Here,
The diagonal of the screen television = 53 inches
And, The width of the screen television = 45 inches
Let the height of the television = h
So, By the Pythagoras theorem, we get;
⇒ AC² = AD² + DC²
Where, AC = Diagonal of television.
AD = Height of the television
DC = Width of the television.
Substitute all the values, we get;
⇒ 53² = h² + 45²
⇒ 2809 = h² + 2025
⇒ 2809 -2025 = h²
⇒ h² = 784
⇒ h = √784
⇒ h = 28 inches
Thus, The height of the screen = 28 inches
Learn kore about the rectangle visit;
https://brainly.com/question/2607596
#SPJ1
What is the solution of the equation 2x y 4 and 3x 2y =- 1?
The solution of the equation 2x+y=4 and 3x-2y=-1 is the value of x = 1, while the value of y = 2
We have, the sets of equations as:
2x+y=4 and 3x-2y=-1?
As here, let 2x+y = 4 ----(i) and 3x-2y = -1 ----(ii)
As here to solve the value of x and y we will first equalise the co-efficient of x.
Here, the co-efficient of x in the first equation is 2, while in the second equation it is 3
So, for equalising, we will first multiply the first equation by 3 and the second by 2,
Thus, we will get it as:
6x+3y=12 ----(iii)
6x-4y=-2----(iv)
Now subtracting (iv) from (iii)
We will get,
7y = 14
=>y=2
Putting the value of y in (i),
2x=4-y = 4-2 =2
=>x = (2/2)=1
For more questions on Linear equations:
https://brainly.com/question/28732353
#SPJ4
The complete question may be like:
What is the solution of the equations 2x+y=4 and 3x-2y=-1?
Maisie walked for 4 hours at an average speed of
1.6 miles per hour (mph).
How many miles did Maisie walk?
If your answer is a decimal, give it to 1 d.p.
Answer: Maisie walked 6.4 miles.
Step-by-step explanation:
Since Maisie is walking at a constant pace of 1.6 miles per hour we can set up the following equation:
y = 1.6(x)
In this equation, Y is the number of miles Maisie walked in total and X is the number of hours she walked. All we have to do is plug in 4 hours as x and solve.
y = 1.6(4)
y = 6.4 miles.
A jar contains $1.70 in ckels, dimes and quarter. There are twenty coins in all with twice as amny nickels as dimes. How many nickels are there in the jar
American nickels are issued as currency. A value of $1.70 is equal to 10 nickels and 12 dimes ($0.50 + $1.20).
How to find the calculation?A dime is worth ten cents and a nickel five cents. In other words, one dime is equivalent to two nickels.
In light of this, we might state that a nickel is worth half what a dime is worth.
Despite having a higher value than a nickel, the dime is smaller.
n + d = 22 <— d = 22-n
Amount in pennies: 5n + 10d = 170
5n + 10(22 - n) = 170
5n + 220 - 10n = 170
220 - 5n = 170
220 - 170 - 5n = 0
50 - 5n = 0
50 = 5n
n = 10
A value of $1.70 is equal to 10 nickels and 12 dimes ($0.50 + $1.20).
To Learn more About American nickels Refer To:
https://brainly.com/question/3101136
#SPJ4
What is the rule for quadrant 4?
All points in Quadrant IV have a positive x-coordinate and a negative y-coordinate.
The fourth quadrant, indicated as Quadrant IV, is in the bottom right quadrant. The x-axis in this quadrant has positive values, whereas the y-axis has negative numbers.
A two-dimensional Cartesian system's axes split the plane into four infinite areas called quadrants, each of which is limited by two half-axes. These are frequently numbered from first to fourth.
A quarter of a circle; a 90° arc. the region enclosed by an arc and two radii are drawn one to each extreme. As a mechanical component, anything is shaped like a quarter of a circle.
All Quadrant I points have two positive coordinates.
Quadrant II points all have a negative x-coordinate and a positive y-coordinate.
All Quadrant III locations have two negative coordinates.
For more questions on Quadrant
brainly.com/question/863849
#SPJ4
In Duck Creek, a bicycle license plate consists of one letter followed by one digit; for example, $Q7$ or $J1$. How many different license plates are possible
On solving the provided question, we can say that by permutation 26 possible letters x 10 possible digits = 260 possible plates
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of
26 possible letters x 10 possible digits =
26 x 10 =
260 possible plates
To know more about permutation visit:
https://brainly.com/question/1216161
#SPJ4
Set builder notation integers between 7 and 50
Answer:
[tex]\{x|x\in \mathbb{Z}, 7 < x < 50\}[/tex]
Step-by-step explanation:
Basically, the above answer tells us that the set of all x such that x belongs to Z, the set of integers, and x is between 7 and 50.
Find the measure of the missing angle? please help :)
The measure of the angle ∠SUT will be 30°. Then the correct option is C.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.
The measure of the angle ∠SUT is calculated as,
∠SUT + ∠UTS = ∠JST
∠SUT + 80° = 110°
∠SUT = 110° - 80°
∠SUT = 30°
The measure of the angle ∠SUT will be 30°. Then the correct option is C.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ1
The day before Gerardo returned from a two-week trip, he wondered if he left his plants inside his apartment or outside
on his deck. He knows these facts:
• If his plants are indoors, he must water them at least once a week or they will die.
• If he leaves his plants outdoors and it rains, then he does not have to water them. Otherwise, he must water them at
least once a week or they will die.
. It has not rained in his town for 2 weeks.
When Gerardo returns, will his plants be dead? Explain your reasoning.
If his plants are indoors, he must water them at least once a week or they will die.
What would you say about an indoor plant?A houseplant is an attractive plant that is cultivated indoors. It is sometimes referred to as a potted plant, potted plant, or an indoor plant. As a result, they are typically seen for ornamental reasons in settings like homes and businesses.Not only do indoor plants improve a room's overall beauty, but studies have also shown that they improve emotions, promote creativity, lower stress levels, and remove air pollutants, all of which contribute to a happier and healthier you. Indoor plants may improve our mood in addition to improving their appearance.If his plants are indoors, he must water them at least once a week or they will die.To learn more about houseplant refer to:
https://brainly.com/question/14286805
#SPJ1
Which one of the following solids can produce this two dimensional shape when sliced vertically
The solid that can produce the given two-dimensional shape when sliced vertically is option 2.
What is vertical alignment?When we examine anything vertically, we see it from top to bottom. When something is standing, it is referred to as the alignment.
What is horizontal alignment?When we examine objects horizontally, we do it from left to right. When anything is in the sleeping posture, it is known as the alignment.
The given shape is a rectangle. When the rectangular prism is sliced in a vertical manner the solid will represent the given shape that is a rectangle.
Learn more about shapes here:
https://brainly.com/question/28756579
#SPJ4
Melissa wants to check the accuracy of the finance charge on her loan. She has a $6,000, 4-year loan at an APR of 3.11%. What is her monthly payment? Round to the nearest cent.
Answer: $133.10.
Step-by-step explanation:
Answer:
To calculate the monthly payment for a loan, you can use the following formula:
Monthly payment = (APR/12) * loan amount / (1 - (1 + APR/12)^(-number of payments))
In this case, the loan amount is $6,000, the APR is 3.11%, and the loan is for 4 years, or 48 months. Plugging these values into the formula, we have:
Monthly payment = (0.0311/12) * $6,000 / (1 - (1 + 0.0311/12)^(-48))
Calculating, we find that the monthly payment is approximately $147.26. Rounded to the nearest cent, the monthly payment is $147.26.
Step-by-step explanation:
HELP !!!
write days in May and days in a year as a ratio
The ratio of days in May and days in a year is 31 to 365 or 31:365
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We need to find the days in May and days in a year as a ratio
Therefore, Days in may = 31
Days in a year = 365
Thus, the expected ratio = 31/365
Or
31:365
Learn more about the ratio here:
brainly.com/question/13419413
#SPJ1
4. Clare is paid $90 for 5 hours of work. At this rate, how many seconds does it take care to earn 25 cents?
5. A car that travels 20 miles in 1/2 hour at consent speed travels at the same rate as a car that travels 30 miles in 3/4 hour at a constant speed.
6. Lin makes her favorite juice blend by mixing cranberry juice with apple juice in the ratio shown on the double number line. complete the diagram to show smaller and larger batches that would taste the same as lin's favorite blend.
An arithmetic sequence begins with 56, 59, 62, 65, 68, ...
Which option below represents the formula for the sequence?
O f(n) = 56 + 3(n − 1)
-
Of(n) = 53+ 3(n-1)
O f(n) = 56 + 3(n)
Of(n) = 53 + 3(n + 1)
f(n) = 56 + 3(n − 1) is the correct option represents the formula for the sequence.
What is an arithmetic sequence?In arithmetic sequences, each term is made larger by the addition or removal of a constant called k. Unlike a geometric sequence, where each term increases by being multiplied by or divided by a fixed constant k,
If there is a consistent difference between the words in a sequence of numbers, the sequence is referred to as an arithmetic progression. Think about the mathematical progression where the numbers 5, 7, 9, 11, 13, and so on all have a common difference of 2.
An is defined as a1 + d(n - 1), where d is the average difference between terms in the series, and a1 is the first term.
Given data :
This is the formula of an arithmetic sequence.
f(n) = a1 + d(n - 1)
An arithmetic sequence begins with 56, 59, 62, 65, 68,
= = 56.
d = 59 - 56 = 3
so the formula is f(n) = 56 + 3(n − 1)
Learn more about arithmetic sequence refer to :
brainly.com/question/28354530
#SPJ1
Can 123 make a triangle?
No, 1, 2, and 3 are not valid side lengths for a triangle. So 1, 2 and 3 cannot make a triangle.
In order for a shape to be a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.
3 + 2 = 5 > 1
3 + 1 = 4 > 2
1 + 2 = 3 not greater than 3
So as 1 + 2 not greater than 3, these set of side lengths does not follow the theorem. Thus a triangle cannot be formed with sides of length 1, 2, and 3.
--The question is incomplete, answering to the question below--
" Can 1, 2 and 3 make the sides of a triangle?"
To know more on triangle inequality theorem
https://brainly.com/question/30195794
#SPJ4
Albert is a marine biologist studying the bluefin tuna population in Caro Bay. When he first started monitoring the population, there were about 1,550 bluefin tuna in the bay. One year later, he estimated that the population of bluefin tuna had decreased to about 1,488. Albert expects the population of bluefin tuna to continue decreasing each year.
Write an exponential equation in the form y=a(b)x that can model the population of bluefin tuna in Caro Bay, y, x years after Albert began monitoring it.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
The exponential function that models the population of bluefin tuna after x years is given as follows:
y = 1550(0.96)^x.
The parameters of the exponential function are given as follows:
a = 1550.b = 0.96.How to define the exponential function?An exponential function is defined as follows:
y = a(b)^x.
For which the parameters are given as follows:
a is the initial value.b is the rate of change.When he first started monitoring the population, there were about 1,550 bluefin tuna in the bay, meaning that the parameter a is given as follows:
a = 1550.
One year later, he estimated that the population of bluefin tuna had decreased to about 1,488, hence the parameter b is obtained as follows:
b = 1488/1550 = 0.96.
Hence the function is defined as follows:
y = 1550(0.96)^x.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
This is a two part question and it would really help me if you could solve both! :)
[tex]\displaystyle\\Answer:\ none \ of\ these\ (m=-\frac{5}{3} );\ isosceles,\ right[/tex]
Step-by-step explanation:
1.
a) find the midpoint G of the side DE:
[tex]x_D=-2\ \ \ \ x_E=3\ \ \ \ y_D=-2\ \ \ \ y_E=1[/tex]
[tex]\displaystyle\\x_G=\frac{x_D+x_E}{2} \\\\x_G=\frac{-2+3}{2}\\\\x_G=\frac{1}{2}\\\\x_G=0.5[/tex]
[tex]\displaystyle\\y_G=\frac{y_D+y_E}{2}\\\\y_G=\frac{-2+1}{2} \\\\y_G=\frac{-1}{2} \\\\y_G=-0.5\\\\Thus,\ G(0.5,-0.5)[/tex]
b) find the midpoint I of the side DF:
[tex]x_D=-2\ \ \ \ x_F=6\ \ \ \ y_D=-2\ \ \ \ y_F=-4[/tex]
[tex]\displaystyle\\x_I=\frac{x_D+x_F}{2} \\\\x_I=\frac{-2+6}{2} \\\\x_I=\frac{4}{2} \\\\x_I=2[/tex]
[tex]\displaystyle\\y_I=\frac{y_D+y_F}{2}\\\\y_I=\frac{-2+(-4)}{2}\\\\y_I=\frac{-6}{2} \\\\y_I=-3\\\\Thus,\ I(2,-3)[/tex]
c) the slope of GI:
[tex]x_G=0.5\ \ \ \ x_I=2\ \ \ \ y_G=-0.5\ \ \ \ y_I=-3[/tex]
[tex]\displaystyle\\m_{GI}=\frac{y_I-y_G}{x_I-x_G} \\\\m_{GI}=\frac{-3-(-0.5)}{2-0.5} \\\\m_{GI}=\frac{-3+0.5}{1.5} \\\\m_{GI}=\frac{-2.5}{1.5} \\\\m_{GI}=\frac{-2.5(2)}{1.5(2)} \\\\m_{GI}=-\frac{5}{3}[/tex]
2.
Type of Δ DEF:
a) find the length of the side DE:
[tex]|DE|=\sqrt{(3-(-2)^2+(1-(-2)^2}\\\\|DE|=\sqrt{(3+2)^2+(1+2)^2} \\\\|DE|=\sqrt{5^2+3^2}\\\\|DE|=\sqrt{25+9} \\\\|DE|=\sqrt{34} \ units[/tex]
b) find the length of the side EF:
[tex]|EF|=\sqrt{(6-3)^2+(-4-1)^2}\\\\|EF|=\sqrt{3^2+(-5)^2}\\\\ |EF|=\sqrt{9+25} \\\\|EF|=\sqrt{34}\ units[/tex]
Hence, DE=EF
c) find the m∠DEF:
[tex]\displaystyle\\cos \angle E=\frac{\overrightarrow {DE}+\overrightarrow {EF}}{|DE|*|EF|} \\\\[/tex]
Find the coordinates of the vector by the coordinates of its beginning and end points:
[tex]\displaystyle\\\overrightarrow {DE}=(x_E-x_D,y_E-y_D)\\\\\overrightarrow {DE}=(3-(-2),1-(-2))\\\\\overrightarrow {DE}=(5,3)\\\\\overrightarrow {EF}=(x_F-x_E,y_F-y_E)\\\\\overrightarrow {EF}=(6-3),-5-1)\\\\\overrightarrow {EF}=(3,-5)\\Hence,\\\\cos\angle E=\frac{5*3+3*(-5)}{\sqrt{34}*\sqrt{34} } \\\\cos\angle E=\frac{15-15}{34 }\\\\cos\angle E=\frac{0}{34 }\\\\cos\angle E=0\\\\m\angle E=90^0[/tex]
Find the area of the circle shown. Use 3.14 as an approximation for T. Round your answer to the nearest tenth.
Here the exact values of circle is not given.so in general .Area of Circle = πr² or πd2/4 in square units, where (Pi) π = 22/7 or 3.14.
How to find the Area of Circle?The space a circle takes up in a two-dimensional plane is known as the area of the circle. Alternately, the area of the circle is the area included inside the circumference or perimeter of the circle. A = r2, where r is the circle's radius, is the formula for c
Area of Circle = πr2 or πd2/4 in square units, where (Pi) π = 22/7 or 3.14. Pi (π) is the ratio of circumference to diameter of any circle. It is a special mathematical constant.
Area of Circle:
[tex]\pi[/tex]×r²
Where [tex]\pi[/tex]=3.14
But Here we need correct values to find the area of the circle.
To Know more about How to find the Area of Circle refer to:
https://brainly.com/question/14068861
#SPJ1
It ha been etimated that about 15% of frozen chicken contain enough almonella bacteria to caue illne if improperly cooked. Suppoe that a upermarket buy 1000 frozen chicken from a upplier. Find an approximate 68% interval (remember empirical rule: approx. 68% of data within 1 tand. Deviation of mean) for the number of frozen chicken that may be contaminated
approximate 68% interval (remember empirical rule: approx. 68% of data within 1 tand. Deviation of mean) for the number of frozen chicken that may be contaminated is (271.02, 328.98) = (271, 329)
Suppose number of trials, n = 1000
And number of defective chickens is within 1 standard deviation of the mean :
Mean = np ; p = 0.3
Mean = 1000 * 0.3 = 300
Standard deviation (s) : sqrt(np(1-p))
s = sqrt(1000 * 0.3 * 0.7)
s = sqrt(210)
s = 14.49
2 standard deviations of the mean: and interval
Mean ± 2s
Lower bound : 300 - 2(14.49) = 271.02
Upper bound : 300 + 2(14.49) = 328.98
(271.02, 328.98) = (271, 329)
learn more about of interval here
https://brainly.com/question/20733950
#SPJ4
Big Ideas:
Explain your reasoning.
Answer:
Stretch the graph of f(x) = x + 3 vertically by a factor of 2.
The "same" transformations result in f(x) = 2x + 5
The "different" transformation results in f(x) = 2x + 6
Step-by-step explanation:
Transformation Rules
[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]
[tex]a\:f(x) \implies f(x) \: \textsf{stretched parallel to the $y$-axis (vertically) by a factor of $a$}[/tex]
[tex]f(ax) \implies f(x) \: \textsf{stretched parallel to the $x$-axis (horizontally) by a factor of $\dfrac{1}{a}$}[/tex]
Carry out the given transformations.
Given function:
[tex]f(x) = 2x + 3[/tex]
Translation of 2 units up:
[tex]\begin{aligned}\implies f(x) + 2&= 2x + 3 + 2\\&=2x+5\end{aligned}[/tex]
Given function:
[tex]f(x) =x + 3[/tex]
Vertical stretch by a factor of 2:
[tex]\begin{aligned}\implies 2f(x)&=2(x+3)\\&=2x+6\end{aligned}[/tex]
Given function:
[tex]f(x) = x + 5[/tex]
Horizontal shrink by a factor of 1/2:
[tex]\implies f\left(\dfrac{1}{\frac{1}{2}}x\right)=f(2x)=2x+5[/tex]
Given function:
[tex]f(x) = 2x + 3[/tex]
Translation of 1 unit left:
[tex]\begin{aligned}\implies f(x+1) &= 2(x+1) + 3\\&=2x+5\end{aligned}[/tex]
Three of the transformations result in the same function f(x) = 2 + 5.
Therefore, the transformation that does not belong with the other three is:
Stretch the graph of f(x) = x + 3 vertically by a factor of 2.Is 5x 3y a linear equation in two variables?
Yes, 5x - 3y = 7 is a linear equation in two variables (x and y)
A linear equation in two variables is an equation in the form ax + by = c, where a, b, and c are real numbers and a and b are not both 0. In this equation, 5x 3y, the coefficients of the variables are 5 and 3, respectively, so a = 5 and b = 3. Therefore, 5x 3y is a linear equation in two variables.
A linear equation in two variables (x and y) is an equation that can be written in the form ax + by = c, where a and b are real numbers and a and b are not both 0. This means that any equation that has two variables with real coefficients will be a linear equation. For example, 5x 3y is a linear equation in two variables because the coefficients of the variables x and y are 5 and 3, respectively. Therefore, 5x 3y is a linear equation in two variables.
the complete question is : Is 5x-3y=7 a linear equation in one variable?
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
If a student scored 75 points on a test where the mean score was 83. 5 and the standard deviation was 6. 1. The student's z score is ________. Round to 2 decimal places
The z score of the student is -1.39. The value z score is rounded to 2 decimal places.
What is mean?
The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.
The formula for the z-score is
z = (x - μ)/σ
x = standard value
μ = mean
σ = standard deviation
Given that the scored 75 points. The mean score of the student was 83.5 and the standard deviation was 6. 1.
Putting x = 75, μ = 83.5 and σ = 6.1
z = (75 - 83.5)/6.1
z = -1.3934
z ≈ -1.39
To learn more about standard deviation, click on the below link:
https://brainly.com/question/18089852
#SPJ4
Calculate the area of a rectangle with the base of 12 feet and height of 3 feet.
(I need the answer as fast as possible so if anybody could help that would be greatly appreciated)
A: 9 square feet
B: 15 square feet
C: 30 square feet
D: 36 square feet
If m= 2, n=3, and p= -1, then find the value of : 2mn4 – 15m2n + p
In Full Details!! As Soon As Possible
Answer:
-131
Step-by-step explanation:
2×2×3×4-15×2×2×3+-1
48-179
=-131
Nathan had 58 pieces of gum that he wants to make last six days how much can he chew each day so that the gum last him six days between what two whole numbers does your answer lie
Natha can chew between 9 to 10 chewing gum each day so that it could last for 6 days.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Nathan had 58 pieces of gum that he wants to make last six days.
Therefore, The number of chewing gums he can chew is the total number of chewing gums he has divided by the total number of days which is,
= (58/6).
= 9.66 chewing gums but it should be a whole number.
So, Nathan can chew between 9 to 10 chewing gums each day.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ1
Choose the best answer.
A general guideline for the amount that is withheld for contribution to an employee's pension fund
is
O 6.0%
© 6.5%
O 7.5%
O 7.0%
Answer is 6.5
Answer: Yes, the answer is 6.5%. The percentage of employee's salary that is withheld for contribution to their pension fund can vary depending on the company or organization, but generally it is around 6-7%. 6.5% is a common percentage used by employers as a guideline for the amount that is withheld for the employee's pension fund.
Step-by-step explanation:
Multiply = 4/7 x 5 1/4
please help me
Answer:
3
Step-by-step explanation:
[tex]\displaystyle \frac{4}{7}*5\frac{1}{4}=\frac{4}{7}*\frac{21}{4}=\frac{21}{7}=3[/tex]
X
-1
0
2
f(x)
MKB6223
18
가 2
What is the decay factor of the exponential function
represented by the table?
이를
이를
○ 2
○6
Here, 1/3 is halfway between 0 and 1. The exponential function supplied has a decay factor of 1/3 as a result.
How do you find the decay factor of an exponential function?An exponential function's basic form is:
[tex]$$y=a b^x$$[/tex]
Where an is the starting value, b>1 is the growth factor, and 0b1 is the decay factor.
the point through which the exponential function passes (0,6). In I if x=0 and y=6, we obtain
[tex]$$\begin{aligned}& 6=a b^0 \\& 6=a(1) \\& 6=a\end{aligned}$$[/tex]
the point through which the exponential function passes (1,2). Substituting [tex]$x=1, y=2, a=6$[/tex] in (i), we get
[tex]$$\begin{aligned}2 & =6(b)^1 \\2 & =6 b \\\frac{2}{6} & =b \\\frac{1}{3} & =b\end{aligned}$$[/tex]
Here, [tex]$^{b=\frac{1}{3}}$[/tex] between 0 and 1 is located. The provided exponential function's decay factor is thus [tex]$\frac{1}{3}$[/tex].
Therefore the correct answer is 1/3 .
To learn more about decay factor refer to :
https://brainly.com/question/24159852
#SPJ1
What are the 3 parts of a quadratic equation?
The 3 parts of a quadratic equation are standard form, factored form and vertex form.
A quadratic equation is a polynomial equation of degree two in one variable of type f(x) = ax² + bx + c where a, b, c, ∈ R and a ≠ 0.
There are three forms of quadratic equations
Standard form of quadratic equation y = ax² + bx + c
factored form of quadratic equation y = a(x − r₁)(x − r₂)
Vertex form of quadratic equation y = a(x − h)² + k
Each of the above quadratic forms looks unique, allowing the different problems to be more easily solved in one form than another.
To know more about quadratic forms, here
https://brainly.com/question/19239940
#SPJ4
Victor has a circular clock in his room. The long hand of the clock is the radius with a measure of 6 centimeters. The approximate circumference of the face of the clock is 37.68 centimeters. Which expression best represents the value of π ? Responses 37.686⋅6
The expression that best represents the value of π is 37.68 / 12.
What is the expression for π?The circumference of a circle is the distance round the circle. The radius of a circle is the distance from the center of the circle to any point on the circumference.
The formula for circumference of a circle = 2πr
Where:
π = pi
r = radius
π = circumference / 2r
π = 37.68 / (2 x 6)
π = 37.68 / 12
To learn more about circles, please check: https://brainly.com/question/11213974
#SPJ1
Help me with this problem - find y
[tex]y + 25 = 625 \div 25[/tex]
Answer:
[tex]y=0[/tex]
Step-by-step explanation:
[tex]y+25=25 \\ \\ y=25-25 \\ \\ y=0[/tex]
Answer:
[tex] \sf \: y = 0[/tex]
Step-by-step explanation:
Given equation,
→ y + 25 = 625 ÷ 25
Now the value of y will be,
→ y + 25 = 625 ÷ 25
→ y + 25 = 25
→ y = 25 - 25
→ [ y = 0 ]
Hence, the value of y is 0.