help with equation points included
The logarithmic equation f(x) = log₈(x + 1) + 4 is shifted left by 1 unit and up by 4 units
How to determine the transformation?The logarithmic equation is given as:
f(x) = log₈(x + 1) + 4
The parent function of the logarithmic equation is
y = log₈(x)
When the logarithmic equation is translated 1 unit left, we have:
y = log₈(x + 1)
When the logarithmic equation is translated 4 units up, we have:
y = log₈(x + 1) + 4
This means that the logarithmic equation f(x) = log₈(x + 1) + 4 is shifted left by 1 unit and up by 4 units
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A central role of members at this time is to recognize and deal with the many forms of?
Answer:
Resistance
Step-by-step explanation:
The variables x and y vary directly. If one pair of the values is x = 3 and y = 12, write an equation that shows the relationship between x and y.
A. y = 4x
B. x/y = 4
C. y = x/4
D. x = 4y
A lawn-mowing company is trying to grow its business. it had 30 clients when they started its business and wants to increase by 6 new clients each week. use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data. f(x) = 6x 30; 0 ≤ y ≤ 4 f(x) = 6x 24; 0 ≤ y ≤ 4 f(x) = 6x 30; 30 ≤ y ≤ 48 f(x) = 6x 24; 30 ≤ y ≤ 48
The function to represent the problem is f(x)=6x+24 and the range is 30[tex]\leq[/tex]y[tex]\leq[/tex]48.
What is arithmetic sequence formula?If the terms of a sequence differ by a constant, we say the sequence is arithmetic. If the initial term ([tex]a_{0}[/tex]) of the sequence is a and the common difference is d, then we have,
[tex]a_{n}[/tex]=a+(n-1)d
Initial number of clients=30
Number increase per week= 6
So, we can make an arithmetic sequence fir six weeks
30,36,42,48
Here, first term, a=30
Common difference, d=6
Range is [30,48]
The explicit formula of an arithmetic sequence is
[tex]a_{n}[/tex]=a+(n-1)d
Put a=30, d=6, n=x
[tex]a_{x}[/tex]=30+(x-1)6
[tex]a_{x}[/tex]=30+6x-6
[tex]a_{x}[/tex]=6x+24
Therefore, The function to represent the problem is f(x)=6x+24 and the range is 30<=y<=48
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A regular pentagonal prism has a volume of 2,850 cubic millimeters. what is the height of the prism? a regular pentagonal prism with height labeled h. the pentagonal base has side edge labeled 12 millimeters. apothem from center to a base edge is labeled 5 millimeters. the height of the prism is millimeters.
Answer:
Height = 19mm.
Step-by-step explanation:
Area of a regular polygon = (A * P) / 2 where A = side / (2 * Tan (π / N)) where, N = Number of sides, A = Apothem, P = Perimeter.
Here A = 5, P = 5*12 = 60 so
Area of the base = (5 * 60) / 2 = 150 mm^2.
Volume = area base * height so
Height = volume / area of base
= 2850 / 150
= 19 mm.
The height of the prism is h = 19 mm
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
A regular pentagonal prism has a volume of 2,850 millimeters³
The pentagonal base has side edge labeled 12 millimeters.
And , Apothem from center to a base edge is labeled 5 millimeters
Area of a regular polygon = (A x P) / 2
where A = side / (2 * Tan (π / N))
and , N = Number of sides, A = Apothem, P = Perimeter
h = 2850 / 150
On simplifying , we get
h = 19 mm
Hence , the height is 19 mm
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Consider this quadratic equation.
2x²2²-1=3x+4
Which equation correctly applies the quadratic formula?
COA
OB.
OC.
OD.
2=
H=
H=
-(-3) ± √(-3)²-4(2)(-5)
-(-3);
2
-(-3) ± √(-3)²-4(-5)
(2)
-(-3) ± √(-3)²(2)(-5)
(2)
-(-3) ± √(-3)²-4(2)(-5)
2(2)
Answer:
-(-3) ± √(-3)^2 - 4(2)(-5) / 2(2) (the last choice).
Step-by-step explanation:
Im ignoring the 2^2 in the equation
The equation transforms to
2x^2 - 3x - 5 = 0 (standard form)
So x = -(-3) ± √(-3)^2 - 4(2)(-5) / 2(2)
PLS HELP ME OUT ON THIS QUESTION. I’m trying to study!
Answer: 3
Step-by-step explanation:
We can solve this problem by recognizing that z is the geometric mean of 9 and 9+4. This property is outlined in the following formula:
[tex]\frac{hypotenuse}{leg}=\frac{leg}{part}[/tex]
where hypotenuse is the longest side of the triangle, leg is the side of the triangle we are calculating for, and part is the part of the hypotenuse on the side of the leg.
Here, the hypotenuse is 13, or 4 + 9. The leg is z, as it is the side of the triangle we are trying to find. Finally, the part is 9. It is the part of the hypotenuse that is on the side of the leg.
Let's plug in these values:
[tex]\frac{13}{z}=\frac{z}{9}\\117=z^2\\z=\sqrt{117}[/tex]
117 is the product of 9 and 13. Since 9 is a perfect square, we can take it out from the square root.
[tex]z=\sqrt{9*13}\\z=\sqrt{9}*\sqrt{13}\\z=3\sqrt{13}[/tex]
The "?" must be a 3.
Legs: The two ________ sides of a right triangle; the sides that meet at ___ degrees.
Lee wants to fence off a rectangular area that is 36 feet squared in size for a vegetable garden. He is considering three garden lengths of 6 ft, 9 ft, and 12 ft. He wants to determine which garden would require the least amount of fencing.
Determine the dimensions of the garden that would require the least amount of fencing.
tried my best to show the steps!! all i did was isolate to find the missing widths attached to the respective lengths (divided surface area by width) and then multiply both sides by two and add them together to find the perimeter.
The dimensions of the garden that would require the least amount of fencing are 6 ft in length and 6 ft in width.
The dimensions are the sides of a geometric shape.
The lengths of the three gardens are given as 6 ft, 9 ft, and 12 ft respectively.
If the area of the garden is 36 feet squared, then the widths for the three lengths will be as follows:
The width of the garden with a length of 6 ft [tex]= \dfrac{36}{6} = 6\ ft[/tex]
The width of the garden with a length of 9 ft [tex]= \dfrac{36}{9} = 4\ ft[/tex]
The width of the garden with a length of 6 ft [tex]= \dfrac{36}{12} = 3\ ft[/tex]
The parameters are calculated as:
The parameter of the garden with dimensions (6 ft, 6 ft) = 2(6 + 6) = 24 ft
The parameter of the garden with dimensions (9 ft, 4 ft) = 2(9 + 4) = 26 ft
The parameter of the garden with dimensions (12 ft, 3 ft) = 2(12 + 3) = 30 ft
The least of the parameter is of the garden with dimensions (6 ft, 6 ft).
Thus, the garden with dimensions (6 ft, 6 ft) would require the least amount of fencing.
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Marcus needs to add a query for multiple tables in his database. he is using access 2016. which tab should he use to add the query? home external data create database tools
He is using Access 2016 Database tools are the tab that should he use for the add a query for multiple tables in his database.
What is In databases?Databases and a desk is hard and fast of records elements (values) the usage of a version of vertical columns (identifiable with the aid of using the name) and horizontal rows, the cell being the unit wherein a row and column intersect.
Tables are database gadgets that incorporate all of the records in a database. In tables, records is logically prepared in a row-and-column layout much like a spreadsheet.
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The above question is incomplete:
Marcus needs to add a query for multiple tables in his database. He is using Access 2016. Which tab should he use
to add the query?
Home
External data
Create
Database tools
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The graph of the function C(x) = −0.74x2 + 22x + 75 is shown. The function models the production cost, C, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands:
graph of a parabola opening down passing through points negative 4 and 57 hundredths comma zero, zero comma 62, 1 and 12 hundredths comma 75, 17 and 65 hundredths comma 167 and 55 hundredths, 34 and 18 hundredths comma 75, and 39 and 87 hundredths comma zero
If the company wants to keep its production costs under $175,000, then which constraint is reasonable for the model?
If the company wants to keep its production costs under $175,000, then 5.6 ≤ x ≤ 24.13 constraint is reasonable for the model given that the function C(x) = −0.74x² + 22x + 75 ,the production cost C, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands. This can be obtained by using the given graph of the function.
Which constraint is reasonable for the model:A constraint is a condition of an optimization problem that should be satisfied the condition.
From the we have the function,
⇒ C(x) = −0.74x² + 22x + 75
the production cost C, in thousands of dollars for a tech company to manufacture a calculator, x is the number of calculators produced, in thousands.
In the graph the dotted line is the line where C(x) is $175,000. Above this line every the value is greater than $175,000.
The points where this line, that is C(x) = y = 175, intersect the graph of the given function C(x) = −0.74x² + 22x + 75 is (5.6, 175) and (24.13, 175).
This means that above the point (5.6, 175) the graph has the value greater than 175000 and below the point the graph has the value below 175000.Similarly, below the point (24.13, 175) the graph has the value greater than $175,000 and above the point the graph has the value below $175,000.Therefore, x ≥ 5.6 and x ≤ 24.13
⇒ 5.6 ≤ x ≤ 24.13
Hence if the company wants to keep its production costs under $175,000, then 5.6 ≤ x ≤ 24.13 constraint is reasonable for the model given that the function C(x) = −0.74x² + 22x + 75 ,the production cost C, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.
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Answer:
0 ≤ x < 5.6 and 24.13 < x ≤ 32.82
Step-by-step explanation:
AB=
BC=
Help me please!! Asap thanks so much
Answer:
5 and 5
Step-by-step explanation:
[tex]AB = BC =\sqrt{(4-0)^2+(3-0)^2}=5[/tex]
Answer:
AB = 5
BC = 5
Step-by-step explanation:
The formula to find the distance between two points is: [tex]\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]
AB: 5
The two points are A(-4,0) and B(0,3).
In the formula, it will be expressed as:
[tex]\sqrt{(0-(-4))^2+(3-0)^2}[/tex]
--> [tex]\sqrt{4^2+3^2}[/tex] .
--> [tex]\sqrt{16+9}[/tex]
--> [tex]\sqrt{25}[/tex]
--> 5
BC: 5
The two points are: B(0,3) and C(4,0)
In the formula, it will be expressed as:
[tex]\sqrt{(4-0)^2+(0-3)^2}[/tex]
--> [tex]\sqrt{(4)^2 + (-3)^2}[/tex]
--> [tex]\sqrt{16 + 9}[/tex]
--> [tex]\sqrt{25}[/tex]
--> 5
So both AB and BC is 5.
What is the value of x that makes l1||l2?
A. 14
B. 11.6
C. 10
D. 26.7
Answer:
10
Step-by-step explanation:
By the alternate interior angles theorem,
[tex]4x=2x+20 \\ \\ 2x=20 \\ \\ x=10[/tex]
If a sample mean is 32, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?
Answer:
(28.36)
Step-by-step explanation:
Which of the following graphs represents the inequality? 4 ⪰ b
The solution to the inequality 4 ≥ b is represented in the graph
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
Inequality shows the non equal comparison between two or more numbers and variables.
Given the inequality:
4 ≥ b
Rearranging gives:
b ≤ 4
The solution to the inequality 4 ≥ b is represented in the graph
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Find the cofactors of each entry in the first row of the matrix . ac11 = ac12 = ac13 =
The cofactors of each entry in the first row of the matrix exist
[tex]$$Ac_{11 }= -13[/tex]
[tex]Ac_{12} = 44[/tex]
[tex]Ac_{13} = 27[/tex]
We have to estimate the cofactors of each entry in the first row of the matrix.
What is the matrix?A set of numbers exists arranged in rows and columns to create a rectangular array. The numbers exist named the elements, or entries, of the matrix.
Thus the cofactors of each entry in the first row of the matrix exist
[tex]$$Ac_{11 }= -13[/tex]
[tex]Ac_{12} = 44[/tex]
[tex]Ac_{13} = 27[/tex]
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A plan for a baseball diamond is drawn in a coordinate plane. The baseball diamond is in the shape of a square with vertices at approximately (0, 64), (64, 0), (0, -64), and (-64, 0). One unit in the coordinate plane represents 1 ft. What is the approximate area of the baseball diamond?
The area of the baseball diamond is 8192 sq. units.
We assume the square-shaped, baseball diamond to be ABCD with A = (0, 64), B = (64, 0), C = (0, -64), and D = (-64, 0).
The side of the square can be computed using the distance formula,
D = √((x₂ - x₁)² + (y₂ - y₁)²), when the endpoints of a line are (x₁, y₁) and (x₂, y₂).
Thus, the side of the square,
a = √((x₂ - x₁)² + (y₂ - y₁)²),
or, a = √((64 - 0)² + (0 - 64)²) {Considering A(0,64) and B(64, 0) as the endpoints,
or, a = √(64² + (-64)²),
or, a = √(4096 + 4096),
or, a = 64√2 units.
Now, the area of the square can be calculated using the formula, A = a², where A is the area and a is the side of the square.
Thus, the area of the square = (64√2)² = 4096*2 = 8192 sq. units.
Thus, the area of the baseball diamond is 8192 sq. units.
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How do i solve for the maximum and minimum of z?
Answer:
Step-by-step explanation:
[tex]We\ summarize\ (1) \ and\ (2),\ \ (2) \ and\ (3):\\\displaystyle\\\left \{ {{2x\geq -6\ |:2} \atop {-2x\geq -6\ |:(-2)}} \right. \ \ \ \ \ \left \{ {{x\geq -3} \atop {x\leq 3}} \right. \ \ \ \ \ \Rightarrow\ \ \ \ x\in[-3;3].\\[/tex]
[tex]2)\ We\ subtract\ equation\ (2) \ from \ equation (1),[/tex]
which graph below shows the solutions for the linear inequality y>- 1/3x + 1
The graph that shows the solutions for the inequality, y > -1/3x + 1 is: C. Graph A.
How to Find the Graph of a Linear Inequality?The inequality sign, ">" means that the graph of the inequality has a dashed line where the shaded part is above the boundary line and the boundary line is dashed or dotted. If "≥" is used, the boundary line would not be dashed or dotted and the shaded area would be above it.
On the other hand, "<" is used when the shaded area is below the boundary line and the boundary line is a dashed line. If "≤" was used, the boundary line won't be dashed or dotted, while the shaded area would be below the boundary line that is not dotted.
Given y > -1/3x + 1, the slope (m) = change in y / change in x is -1/3.
Graph A has a slope of -1/3 and the shaded part is above the boundary line.
Therefore, the graph that shows the solutions for y > -1/3x + 1 is: C. Graph A.
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Choose the correct discount or markup. if an item has a retail price = $995 and a discount of 15%, how much is the discount? it is $ .
Answer:
$149.25
Step-by-step explanation:
The discount is 15% of $995
Find the Discount[tex]15\%\times995[/tex]
Note that percentages can also be written as that number over 100.
[tex]\frac{15}{100}\times995[/tex]
Simplify the fraction
[tex]\frac{3}{20}\times995=\frac{2985}{20}=149.25[/tex]
Therefore the discount is $149.25.
Answer:
$149.25
Step-by-step explanation:
-5/3×3/8+3/8+6/9+14/3
Answer:
Exact Form:
61/12
Decimal Form:
5.083 with 3 repeating
Mixed Number Form:
5 1/12
Step-by-Step Explanation:
-5/3×3/8 = -5/8
-5/8+3/8= -1/4
-1/4+6/9=5/12
5/12+14/3=61/12
A conical circus tent has a 20 ft central pole that supports it. the slant height of the tent is 26 ft long. explain how to find the angle the tent pole makes with the sides of the tent.
The angle the pole makes with the tent is 39.7°.
What is an angle?An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle. Angles formed by two rays are located in the plane containing the rays.Trigonometric ratio: the trigonometric ratio is used to demonstrate the relationship between the sides and angles of a right-angled triangle.
Let θ represent the angle the pole makes with the tent.
Using trigonometric ratios:
cos(θ) = 20/26θ = 39.7°Therefore, the angle the pole makes with the tent is 39.7°.
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Find the area of a circle with a diameter of 16.
Either enter an exact answer in terms T or use 3.14 for TT and enter your answer as a decimal
Answer:
Step-by-step explanation:
Area of circle:
area = π · r · r
Radius= [tex]\frac{16}{2}[/tex]= 8
[tex]3.14\times { 8 }^{ 2 }[/tex] = 200.96 [tex]cm^2\\[/tex]
Quick algebra 1 assignment for some points and brainliest!
(EASIER THAN IT LOOKS)
Only help if you know the answer PLEASE HELP EXPERTS AND GENIUSES ITS DUE TOMMAROW
(ANSWER ALL 4 PARTS OF THE ASSIGNMENT PLEASE :p )
1. The 100 prisoner experiment: 100 prisoners are about to be executed (you can use paper stick figures to model 100 prisoners, or you can do about 10), but the warden has agreed to allow all prisoners to be commuted to a 6-month sentence if they can pass one game. The game states that 100 pieces of paper with each of the prisoner's numbers are to be randomly shuffled into boxes that have random prisoner's numbers (where the number on the paper does not match the number on the boxes.) Each prisoner is allowed to open 50 boxes to find their number such that they have a [tex]\frac{1}{2}[/tex] chance of finding their number. If you find your number, you are cleared to another room to wait. If you don't, then you've messed up huge. If even one prisoner does not find their number, all the prisoners die. If all of the prisoners find their numbers, they all get 6-month sentences instead. The chance of all the prisoners randomly finding their numbers is [tex](\frac{1}{2})^{100}[/tex], which is about a 0.0000000000000000000000000000008% chance. 30 zeros after the decimal placement. For reference, two people have a better chance of picking up the same grain of sand from any of the beaches in the world than finding their numbers randomly.
The Vickrey Auction can be modeled into an experiment by testing people's psychological thinking. You can do this with any of your friends. In a Vickrey auction, you put your bids into a closed letter. For an item, the highest bidder wins the auction, but does not pay what he or she put their bid under in the auction, but rather pays what the second bidder had bidded. It teaches people to be more honest, because if you bid the highest and win, you pay the second-highest bidder's payment, which could also be almost equally as high and could cost you a fortune for an undervalued item.
Another great experiment you can do is to measure the different unsynchronizations of analog clocks that are not close together. Scientists have measured atomic clocks that are just a millimeter apart that start ticking in different measures.
2. I select the 100-prisoner experiment.
3. A curved graph like -x^2 would fit perfectly.
4. A quadratic function would fit my experiment the best. The best graph to use would be [tex]y = -x^2[/tex]. An equation with a large curve would be the best for this type of experiment to graph success and failure. More than three quarters of my graph wouls be full of failure and maybe a little more than 10% would be full of success if repeated over 100,000 times. I am not too sure though.
Suppose you set up a function to show how many hot dogs you will purchase for a dinner when you have already bought two packages but must buy more, . What is the domain of this function?
The domain of the function is:
h > 0, only integers.
Then the correct option is the first one.
What is the domain of the given function?For a function f(x), we define the domain as the set of the possible values of x that we can use as inputs in the given function.
Here the function is:
f(h) = 6*h + 12
Where h is the number of packages that you buy.
Then h can be only integers larger than zero (as you can't buy half a package or something like that).
Then we conclude that the correct option is the first option.
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Please solve the attachment which is given, and give me the answer. Thank you for your lovely time! <3
Answer:
1. 36 liters
2. 3 kg
Step-by-step explanation:
because 12 liters is 4kg if you multiply both by 3 you’ll get that 12 kg is equal to 36 liters
also, if you divide both by 4, you’ll see that 1kg is equal to 3 liters. Then with this knowledge, yiucc be an see that if you multiply both by 3; 3 kg will be 9 liters! :)
Answer:
1.) 36 litres
2.) 3 kg
Step-by-step explanation:
In this case there is a ratio of 1:3 of mass to volume. If we know the mass, the volume is 3 times that. If we know the volume, the mass is that divided by 3.
An astronaut who weighed 150 pounds on earth found that his weight on jupiter was 400 pounds. he captured an alien that weighed 120 pounds on jupiter. what is the alien's weight on earth? a. 45 pounds c. 500 pounds b. 30 pounds d. 320 pounds
Emma learned in science class that fruit fly populations can increase by about 30% each day.
She found 7 fruit flies on a rotten banana today, and she is curious how many fruit flies could
be on the banana in a few days. You can use a function to approximate the number of fruit
flies on the banana after x days.
Write an equation for the function. If it is linear, write it in the form h(x) = mx + b. If it is
exponential, write it in the form h(x) = a(b)*.
h(x) =
DIO
89
Answer:
[tex]h(x)=7(1.3)^x[/tex]
Step-by-step explanation:
Since this is an exponential equation we will use
[tex]h(x)=a(b)^x[/tex]
[tex]a[/tex] Is your starting value, 7
[tex]b[/tex] Is your percentage of change, remember its not 0.3, as that would hint the population is decreasing by thirds exponentially, instead we will use 1.3 as our percent of change, as the 1 maintains the original value and the 0.3 adds 30%, now all we have to do is put it all together!
[tex]h(x)=7(1.3)^x[/tex]
Rose and Tyler divided their 1.5kg of pizza
dough in the ratio 2:3.
How much did Rose receive?
Answer:
0.6kg
Step-by-step explanation:
first roses share becomes 2:5
then you change the kilograms into grams for an easier working
then you multiply 2:5 by 1500g to get roses share
A graph of a line goes through the points (zero, four) and (negative six, zero).
Find the equation of the line using exact numbers.
The equation of the line is y = 2/3x + 4
How to find the equation of the line using exact numbers?The points on the line are given as:
(zero, four) and (negative six, zero).
Rewrite the points properly as
(0, 4) and (-6, 0)
The slope of the line is calculated using:
m =(y2 - y1)/(x2 - x1)
Substitute the known values in the above equation
m = (0 - 4)/(-6 - 0)
Evaluate
m = 2/3
The equation of the line is then calculated as:
y = mx + b
This gives
y = 2/3x + b
So, we have:
4 = 2/3 * 0 + b
Evaluate
b = 4
Substitute b = 4 in y = 2/3x + b
y = 2/3x + 4
Hence, the equation of the line is y = 2/3x + 4
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