Answer: 32
Step-by-step explanation: this is arithmetic sequence
general formula = a+(n-1)d
nth term = 5+(n-1)3
=5+3n-3
=2+3n
10th term = 2+3(10)
=32
The function f(x) is shown on the graph.
On a coordinate plane, a curved line with 3 arcs, labeled f of x, crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (3, 0), and the y-axis at (0, negative 6).
What is f(0)?
The value of f(0) in the function f(x) is -6
How to determine the value of f(0)?The coordinates are given as:
(-2, 0), (-1, 0), (1, 0), and (3, 0), and (0, -6)
To calculate f(0), we determine the function value when x =0
From the coordinate points, we have:
Point (0, -6)
This means that:
f(0) = -6
Hence, the value of f(0) is -6
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Answer:
Step-by-step explanation:
-2,1 or 3 only
If f(x) =
(3 + x)
(x-3)
what is f(a + 2)?
Answer:
(a^2)+4a-5
Step-by-step explanation:
(3+a+2)(a+2-3)
(a+5)(a-1)
use FOIL or box method
5a-5+(a^2)-a simplifyes to
(a^2)+4a-5
If sin A = 3/8, find the value of cosec A - sec A.
Answer:
[tex]\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}[/tex]
Step by step explanation:
[tex]\text{Given that,}\\\\~~~~~~\sin A = \dfrac 38 \\\\\implies \sin^2 A = \dfrac 9{64}\\\\\implies 1 - \cos^2 A = \dfrac{9}{64}\\\\\implies \cos ^2 A = 1 - \dfrac 9{64}\\\\\implies \cos^2 A = \dfrac{55}{64}\\\\\implies \cos A =\pm\sqrt{\dfrac{55}{64}}\\ \\\implies \cos A = \pm\dfrac{\sqrt{55}}8\\\\[/tex]
[tex]\implies \dfrac 1{\cos A} = \pm\dfrac{8}{\sqrt{55}}[/tex]
[tex]\text{Now,}\\\\\csc A - \sec A\\\\=\dfrac{1}{\sin A}- \dfrac{1}{\cos A}\\\\=\dfrac 83 -\left(\pm \dfrac 8{\sqrt {55}} \right)\\ \\\text{Hence,}\\\\\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}[/tex]
Write the equation of a line perpendicular to 2x + 3y = 4 and passing through (-3,-5).
Answer:
Step-by-step explanation:
A line perpendicular to the given line has a slope that is the negative inverse of the reference line.
Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.
2x + 3y = 4
3y=-2x+4
y = -(2/3)X + (4/3)
The reference slope is -(2/3). The negative inverse is (3/2), which will be the slope of a perpendicular line. We can write the new line as:
y = (3/2)x + b
Any value of b will still result in a line that is perpendicular. But we want a value of b that will shift the line so that it intersects the point (-3,-5). Simply enter this point in the above equation and solve for b.
y = (3/2)x + b
-5 = (3/2)(-3) + b
-5 = -(9/2) + b
-5 = -4.5 + b
b = - 0.5
The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is
y = (3/2)x - 0.5
DUE TODAY: PLEASE HELP
Use transformations to prove that the two figures are similar. Shape A is the original image
(Show work please, how it is similar or not)
Answer:
See below ~
Step-by-step explanation:
We need to prove that the figures are similar by applying the various kinds of transformations.
===============================================================
Question A :
⇒ Compare the side lengths of A and B
⇒ 2 : 5 (for all sides)
⇒ 1 : 2.5
⇒ Hence, Shape A has been dilated with a scale factor of 2.5 to form Shape B
=============================================================
Question B :
⇒ Compare the side lengths of A and B
⇒ A : B = 2 : 6
⇒ A : B = 1 : 3
⇒ Shape A has been dilated with a scale factor of 1/3 to form Shape B
What Is The Formula To Calculate Total Surface Area??
Answer:
you need to calculate the areas for each side of the figure and then add it all up
Step-by-step explanation:
Suppose that the functions g and h are defined for all real numbers x as follows.
g(x) = 5x
h(x) = 4x-3
Write the expressions for (h+g)(x) and (h-g)(x) and evaluate (h-g) (4).
PLEASE HELP
The expressions for (h+g)(x) and (h-g)(x) and evaluate (h-g) (4) is 9x-3 , x+3 and 7
What is a Function ?A function is defined as the law that build relation between a dependent variable and an independent variable.
It is given that
functions g and h are defined for all real numbers x as follows.
g(x) = 5x
h(x) = 4x-3
the expressions for (h+g)(x)= ?
(h+g)(x)= 5x+4x-3
(h+g)(x)= 9x-3
and (h-g)(x) = ?
(h-g)(x) = 5x - 4x +3
(h-g)(x) = x+3
and evaluate (h-g) (4).
(h-g)(x) = x+3
at x = 4
(h-g)(4) = 4+3 = 7
Therefore the value for the functions have been determined.
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I need to know how to solve this
Answer:
K=-6/11
Step-by-step explanation:
3(k/3+4-2k)=3(-9k)
K+12-6k=-27k
12-5k=-27k
12=-22k
K=-6/11
( 4 , 1 2/3 ) ( 2 , − 2/3 ) find the slop
Answer:
7/6
Step-by-step explanation:
To find the slope you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
so doing that i get 7/6
Hope This Helped
Project: slang
here is your goal for this assignment:
recognize the use of slang in context
read a page or two of a newspaper. pick out several words that come from slang. (the sports section is a good place to find these terms. ) type a list.
remember to document your source properly, using mla format
The purpose of using slang is mostly for social purposes such as:
It is use as a kind of identity identify for any members of a group.It is often used to oppose an already set up authority.What is the use of slangs about?Slangs is often used in the Sharing and keeping of a constantly altering vocabulary aids.
It is used to show group solidarity and it is often used to include or exclude members.
The common sports slangs are:
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In a cave, a stalactite gets 44 millimeters longer each year. this year it is 72 centimeters long. how many years until it is 1 meter long?
Answer:
6.36 years (the .36 repeats), so rounded is 6.4.
Step-by-step explanation:
First, I'm going to convert all measurements to meters.
Since 1000 mm = 1 m, divide 44 by 1000.
44/1000 = 0.044 m
Since 100 cm = 1 m, divide 72 by 100.
72/100 = 0.72 m
Next, I'm going to setup an equation using y = mx + b.
b is the beginning amount which is 0.72.
m in the equation represents the rate which is 0.044.
y represents the total which is 1.
Plugin the numbers and solve for x.
1 = 0.044x + 0.72
1 - 0.72 = 0.044x + 0.72 - 0.72
0.28 = 0.044x
0.28/0.044 = 0.044x/0.044
6.36 = x
A drawer contains 5 white shirts, 3 yellow shirts, and 4 black shirts. a shirt is randomly selected from the drawer and set aside. then another shirt is randomly selected from the drawer. what is the probability that the first shirt is yellow and the second shirt is black?
[tex]|\Omega|=12\cdot11=132\\|A|=3\cdot4=12\\\\P(A)=\dfrac{12}{132}=\dfrac{1}{11}\approx9.1\%[/tex]
An adult mamenchisaurus dinosaur was about 24 feet tall . if a toy model of the dinosaur is made to the scale of 1 inch to 9 inches , how tall will the toy dinosaur be
The height of the toy dinosaur will be 32 inches.
What is scaling?In mathematics scaling is defined as the enlarging or contracting of the size of an object by reducing or increasing the units of the measurements of the object.
Given that:-
An adult mamenchisaurus dinosaur was about 24 feet tall. if a toy model of the dinosaur is made to the scale of 1 inch to 9 inches.
The new height of the dinosaur will be calculated as:-
We know that the size of the dinosaur is scaled as 9 inches to 1 inch the actual height of the dinosaur is 24 feet so the scaled height will be:-
Actual height = 24 ft = 24 x 12 = 288 inches
9 inches → 1 inch
288 inches → 288 / 9 = 32 inches.
Therefore the height of the toy dinosaur will be 32 inches.
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How many children are working around the world today, according to the ilo? a. 215,000 b. 2.15 million c. 21.5 million d. 215 million
Answer:
160 million
Step-by-step explanation:
According to the ILO as of 2021, there's an estimated 160 million children working right now, so i don't know what answer you should put :/
Answer:
D 215 million
Step-by-step explanation:
The depth of a diver is her distance below sea level because depth represents a distance
The depth of the diver is 32 feet below sea level.
What is the angle of elevation?The angle of elevation is the angle between the observer's eyesight horizontal line and the object. The complete question can be seen in the image attached below.
The depth of the diver is the absolute value of -32 since it can't be negative.
= |-32|
= 32
Therefore, we can conclude that the depth of the diver is 32 feet below sea level.
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(b) Evan also has a bag of apples that weighs 3.545 pounds. The value of the digit 5 in the tenths place of 3.545 is how many times the value of the digit 5 in the thousandths place? Explain.
The value of the digit 5 in the tenths place of 3.545 is 100 times the value of the digit 5 in the thousandths place.
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.
We have:
Evan has a bag of apples that weighs 3.545 pounds.
The value of the digit 5 in the tenths place of 3.545 is 0.500
The value of the digit 5 in the thousandths place of 3.545 is 0.005
Take the ratio of both values:
tenths place value/thousandths place value = 0.500/0.005
tenths place value/thousandths place value = 100
tenths place value = 100(thousandths place value)
Thus, the value of the digit 5 in the tenths place of 3.545 is 100 times the value of the digit 5 in the thousandths place.
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Which of the following is a factor of both f(x)=x^2-4x-45 and g(x)=x^2-25
Answer:
-5
Step-by-step explanation:
x² - 4x - 45 = 0
(x - 9)(x + 5) = 0
x = 9 or -5
x² - 25 = 0
(x + 5)(x - 5) = 0
x = 5 or -5
-5 is a common factor between both of them
can you guys help me with this question
The first step that we must take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help do it. Looking at the problem statement, it asks for us to determine the area of the figure. In return, we are given the radius of the circle along with the number to use for pi.
Now that we have gathered all of the important information, we can move onto the actual calculations of the problem. Let us use the area of a circle formula to be able to capture the work.
Plug in the values
[tex]A_{circle}=radius^2*\pi[/tex][tex]A_{circle}=(14\ cm)^2*\frac{22}{7}[/tex]Now that we have the expression ready we have several steps that need to be completed in order to have our area ready. Let us start by expanding the exponent.
Expand the exponent
[tex]A_{circle}=(14)^2*(cm)^2*\frac{22}{7}[/tex][tex]A_{circle}=196*cm^2*\frac{22}{7}[/tex][tex]A_{circle}=196\ cm^2*\frac{22}{7}[/tex]Multiply
[tex]A_{circle}=\frac{196\ cm^2\ *\ 22}{7}[/tex][tex]A_{circle}=\frac{4312\ cm^2}{7}[/tex]Simplify the expression
[tex]A_{circle}=\frac{4312\ cm^2/7}{7/7}[/tex][tex]A_{circle}=\frac{616\ cm^2}{1}[/tex][tex]A_{circle}=616\ cm^2[/tex]Therefore, after creating an expression and simplifying it we were able to determine that the area of the circle that was provided with a radius of 14 cm has an area of 616 square centimeters.
Answer:
616 square centimeters
Step-by-step explanation:
Area of a circle: πr²
Given:
π = ²²⁄₇r (radius) = 14 cmSubstitute the given values into the formula:
[tex]A=\dfrac{22}{7}\times(14)^2\\\\A= \dfrac{22}{7}\times \dfrac{196}{1}\\\\A= \dfrac{4312}{7}\\\\A = 616[/tex]
Therefore, the area of the circle is 616 cm².
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Use for #3 and #4. The 8th grade had a cooler of water for the pass the cup competition. It had 15 gallons of water. Each cup of water held 8 oz. of water. (There are 128 oz of water in 1 gallon.) 4. Solve for x. (awnsers) 240 270 200 210
Answer:
I believe the answer is 240
What is limit of (x cubed 3 x squared 4 x minus 12) as x approaches negative 3? –78 –24 30 54
The limit of the expression as x approaches -3 is -24
How to determine the limit of the expression?The expression is given as:
[tex]x^3 + 3x^2 + 4x - 12[/tex]
As x approaches -3.
The limit expression becomes
[tex]\lim_{x \to -3} x^3 + 3x^2 + 4x - 12[/tex]
Substitute -3 for x in the expression
[tex]\lim_{x \to -3} (-3)^3 + 3(-3)^2 - 4*3 - 12[/tex]
Evaluate the expression
[tex]\lim_{x \to -3} -24[/tex]
Hence, the limit of the expression as x approaches -3 is -24
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What is 2 over 7 is greater than 4 over 12
The value 2 / 7 is greater than 4 / 12 is - 1 / 21
How to perform subtraction in algebra?To know the value 2/7 is greater by 4 / 12, we have to subtract 4 / 12 from 2 / 7 .
Therefore,
2 / 7 - 4 / 12 = 24 - 28/84
Therefore,
24 - 28/84 = - 4/ 84 = - 1 / 21
Therefore, it is greater by - 1 / 21
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You have been given data about gas prices in 15 states.
2018 Gas Price Data
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
Standard Deviation: $0.1098
What does the range, standard deviation, and variance say about gas prices in 2018?
The range, standard deviation, and variance say about gas prices in 2018 discussed below
What is standard deviation and variance?Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.
As the variance in 2018 is 0.0121.
A model with low variance means sampled data is close to where the model predicted it would be.
As the standard deviation in 2018 is 0.1098.
Low standard deviation means data are clustered around the mean
A small range means low variability in a distribution.
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A major river flowing out of the Himalayas
Answer:
The Ganges
Step-by-step explanation:
Answer:
Ganga
Step-by-step explanation:
Ganga is the holy river of IndiaIt has risen from Himalayas.It flows throughout the Ind and falls at Sundarban inside Bay of BangalSolve for system of equations. y = x²-3x + 4
x + y = 4
Answer:
Step-by-step explanation:
x²-3x+4+x=4
x²-3x+x=4-4
x²-2x=0
x²-x=0/2
x²-x=0
x=0
40
A box contains
crayons.
Of these, 7 are red. 4 are blue. 8 are
green, and the rest are yellow. If a
crayon is chosen at random, not
replaced, then another is chosen.
what is the probability that
both crayons are yellow?
Answer:
51%
Step-by-step explanation:
A biologist started with a population of 1,000 bacteria that doubled in size every day.
Which equation and graph show the number of days, d, as a function of the population
p, in thousands?
Answer: C. [tex]p = 2^{d}[/tex]
Step-by-step explanation:
The population rises exponentially, so the graph will have to go up. It also means the population is doubled directly in relation to days
Which of the following tables represents a function?
Tomás bought a new car for $41,000. If the value of the car depreciates by 17% each year, determine the value
of his car in 9 years.
This is a means of reducing the cost of a goods or an asset over time. The value of the car after 9 years is approximately $888
DepreciationThis is a means of reducing the cost of a goods or an asset over time.
Mathematically, the cost of goods after a particular year is expressed as:
P(t) = P0e^-rt
Given
P0 = $41000rate r = 17% = 0.17time t = 9 yearsSubstitute
P(17) = 41000r^0.17(9)
P(17) = 4100(0.21653)
P(17) = 887.79
Hence the value of the car after 9 years is approximately $888
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The manager at Jessica's Furniture Store is trying to figure out how much to charge for a couch that just arrived. The couch was bought at a wholesale price of \$113.00$113.00dollar sign, 113, point, 00, and Jessica's Furniture Store marks up all furniture by 45%, percent.
Given the mark up of all furniture in the store, the price that the manager should charge for the couch that just arrived is $163.85.
How much should the manager charge for the couch that just arrived?Given that;
Purchase price = $113.00 marks up = 45%Selling price = ?First, we determine the mark price.
Since the Furniture Store marks up all furniture by 45%.
Mark up price = mark up × purchase price
Mark up price = 45% × $113.00
Mark up price = 0.45 × $113.00
Mark up price = $50.85
Now, the selling price will be;
Selling price = Purchase price + mark up price
Selling price = $113.00 + $50.85
Selling price = $163.85
Given the mark up of all furniture in the store, the price that the manager should charge for the couch that just arrived is $163.85.
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the picture below illustrates a special type of comic section called a circle. which of the following offers the best description of how a circle is formed?
From the diagram, a circle is formed because D. The plane passes through only one nappe of a circular one and is parallel to its base.
How does the diagram show the formation of a circle?The plane given only passes through one nappe instead of the two nappes.
The angle that the plane passes the nappe is parallel and not perpendicular to the base of the nappe as shown in the diagram.
The plane does not pass through the vertex which is the point where the planes.
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