Answer:
Area = 2x^3 - 6x^2 - 14x + 24
Step-by-step explanation:
h = x - 4
b = 2x^2 + 2x - 6
Area = b * h
Area = (x - 4)(2x^2 + 2x - 6) Multiply through by x
Area = 2x^3 + 2x^2 - 6x - 8x^2 - 8x + 24 Multiply through by -4
Area = 2x^3 + (2x^2 - 8x^2) - 6x - 8x + 24 Collect like terms.
Answer
Area = 2x^3 - 6x^2 - 14x + 24
Answer:
D
Step-by-step explanation:
TEST ON EDGE
Given that tangent squared theta = three-eighths, what is the value of secant theta?
Answer:
[tex]\sec \theta = \frac{\sqrt{22}}{4}[/tex]
Step-by-step explanation:
Given
[tex]\tan^2 \theta = \frac{3}{8}[/tex]
Required
[tex]\sec\ \theta[/tex]
We have:
[tex]\sec^2\theta = 1 + \tan^2 \theta[/tex]
This gives:
[tex]\sec^2\theta = 1 + \frac{3}{8}[/tex]
Take lcm and solve
[tex]\sec^2\theta = \frac{9+3}{8}[/tex]
[tex]\sec^2\theta = \frac{11}{8}[/tex]
Take square roots
[tex]\sec \theta = \frac{\sqrt{11}}{\sqrt 8}[/tex]
[tex]\sec \theta = \frac{\sqrt{11}}{2\sqrt 2}[/tex]
Rationalize
[tex]\sec \theta = \frac{\sqrt{11}}{2\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\sec \theta = \frac{\sqrt{22}}{4}[/tex]
Answer:
answer is B
Step-by-step explanation:
i got it right on edg
How much of a radioactive kind of rhodium will be left after 120 seconds if the half-life is 30 seconds and you start with 480 grams?
9514 1404 393
Answer:
30 grams
Step-by-step explanation:
The time 120 seconds is 4 times the half-life of 30 seconds. That means (1/2)^4 = 1/16 of the original amount will remain. That is (480 g)(1/16) = 30 g.
30 g of the radioactive rhodium will be left
Divide 20 by the difference of 14 and 9.
What is a polygon?
a. A closed plane figure made up of line segments
b. An open plane figure made up of line segments
c. A closed plane figure made up of rays
d. An open plane figure made up of rays
Answer:
A. A closed plane figure made up of line segments
Step-by-step explanation:
Answer:
A closed plane figure made up of line segments
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.
Which expression is equivalent to (1/√y)^-1/5?
A: 1/10√y
B: 1/√y^5
C: 10√y
D: 5√y^2
Answer:
C
Step-by-step explanation:
(1/√y)^-1/5
= (1/sqrt(y))^(-1/5)
=sqrt(y)^(1/5)
=y^(1/10)
= (tenth root of y)
=C
:)
Find the 59th term of the arithmetic sequence
29,37,45,...
Answer:
13,456
Step-by-step explanation:
Tn= a+(n-1)d
a is the first term, n is the given number and d is the common difference. d is given by subtracting the first term from the second term or the second from the third. Therefore the the 59th term of the sequence 29, 37, 45 is,
Tn= 29+(59-1)8
=29(58)8
=13,456
Write the ones digit of the squares of the following numbers. (a) 21287
7
___________________
Simplify the polynomial (4n2 + 3n - 5) - (2n2 + 3n+ 6)
We keep brackets
(4n^2 + 3n - 5 ) - (2n^2 + 3n + 6)
We change signs and we group
4n^2 - 2n^2 + 3n - 3n - 5-6
We simplify
2m^2 - 11
Answer: = 2.n^2 - 11
The value of (4n^2 + 3n - 5) - (2n^2 + 3n+ 6) is 2n^2 - 11
How to simplify the expression?The polynomial expression is given as;
(4n^2 + 3n - 5) - (2n^2 + 3n+ 6)
Open the bracket
4n^2 + 3n - 5 - 2n^2 - 3n- 6
Evaluate the like terms
2n^2 - 11
Hence, the value of (4n^2 + 3n - 5) - (2n^2 + 3n+ 6) is 2n^2 - 11
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Need explanation and answer
1=22e 3663 30-4949-29238342
Answer:
[tex]x = \sqrt{12} = 3.464[/tex]
Step-by-step explanation:
[tex]AC=AD+DC=13\\\text{Because ABC is a right triangle then}\\AB^2=AD.AC\\\Rightarrow AB^2=1 \times 13=13\\\Rightarrow AB = \sqrt{13}\\\text{In the right triangle ABD, since Pythagoras we also have}\\AB^2=AD^2+BD^2\\\Rightarrow BD^2=AB^2-AD^2\\\Rightarrow x^2= 13 - 1=12\\\Rightarrow x = \sqrt{12} = 3.464.[/tex]
Help lol i have until tomorrow <3
X/3 - 2 = 6
Answer:
x=24
Step-by-step explanation:
if x is 24 in x/3, that would give us 24/3 or 8.
8-2=6 :)
Circle P contains a diameter AB with coordinates A(1, 2) and B(-7, 2).
5a) State the coordinates of the center.
5b) Determine the length of the radius.
5c)Johnny used the above information for the center and radius and come up with the equation below. Do you agree or disagree with his answer? Explain.
PLEASE ANSWER I DONT HAVE MUCH TIME
Answer:
[tex]centre = ( \frac{1 - 7}{2} , \: \frac{2 + 2}{2} ) \\ = ( - 3, \: 2)[/tex]
[tex]length = \sqrt{ {( - 7 - 1)}^{2} + {(2 - 2)}^{2} } \\ = \sqrt{ { - 8}^{2} } \\ = 8 \: units[/tex]
radius = 8÷2
= 4 units
Johnny was right
Complete the explanation on why it is a good idea to use multiple samples when making comparative inferences about two populations.
It is a good idea to use multiple random samples to see how statistical measure vary among the ————-(different/same) samples.
In 2002 the Supreme Court ruled that schools could require random drug tests of students participating in competitive after-school activities such as athletics. Does drug testing reduce use of illegal drugs? A study compared two similar high schools in Oregon. Wahtonka High School tested athletes at random and Warrenton High School did not. In a confidential survey, 6 of 108 athletes at Wahtonka and 28 of 129 athletes at Warrenton said they were using drugs. Regard these athletes as SRSs from the populations of athletes at similar schools with and without drug testing.
Required:
a. You should not use the large-sample confidence interval. Why not?
b. The plus four method adds two observations, a success and a failure, to each sample. What are the sample sizes and the numbers of drug users after you do this?
Answer:
b
Step-by-step explanation:
Find the mean of the data in the bar chart below.
I’m stuck between 51 or 42 HELP!!!
Answer:
51
Step-by-step explanation:
Have a nice day :)
Solve the equation a=m-n for the variable n
Answer:
m-a = n
Step-by-step explanation:
a=m-n
Subtract m from each side
a-m = m-n-m
a-m = -n
Multiply each side by -1
-a+m = n
m-a = n
Identify the type of sample:
A news reporter at a family amusement park asked a random sample of 20 kids and a random sample of 20 adults about their experience at the park
The type of sample is a stratified sampling.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data
Given that news reporter at a family amusement park asked a random sample of 20 kids and a random sample of 20 adults about their experience at the park
We need to find the type of sample.
This is a stratified sampling because reporter at a family amusement park asked a random sample of 20 kids and a random sample of 20 adults about their experience at the park
stratified sampling is a method of sampling from a population which can be partitioned into subpopulations.
Hence, the type of sample is a stratified sampling.
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Evaluate A= 2
B= 3
C= 5
) A2+B 2+ C2
C2-4A + 2B
Find the area and circumference of a circle with a radius of 13cm. ::note:: answers can be written in decimal form to the nearest hundredth (for example, 9.42) or in terms of pi (for example if you wanted to say 3π
you could write 3 pi--the pi symbol is not available to Area=
Circumference=
Answer:
14cm
Step-by-step explanation:
Answer:
28 cm2
14 cm
Step-by-step explanation:
the following data represent the number of people aged 25-64 years covered by health insurance (private or government) in 2018. approximate the mean and standard deviation
Answer:
mean = find the total of people in such data by adding up all the totals of people represented by each age then divide that total by 2.
mean = with cumulative or frequency graphs if the numbers range individually like 25-30 and 30-35 etc and so on then you take the midpoint age and multiply it by the frequency number in new column add up both columns then divide by smaller total.
mean = histogram total number of data ie) from 270 people (80 x 0 = 0), (40 x 2 = 0) and so on multiplying the frequency. then add them all up in new column ie) 380 among 270 people = 1.4
mode = histogram highest box
median = histogram add up all data number divided by 2 and can draw this on graph as they sort of are in order ie) 15 to the left and 15 to the right
To find standard deviation you need the copulative formula and the notation change for sample shows the small m and s to represent standard deviation ie) m-n is a notation difference for samples of population's
n = number of scores ie) = 50
Ex = then sum of x = would be the collective total ie) = 270
m = 270/50 = 5.4
Ex^2 = 270 x 270 = 72900 (the square of the total population)
SS = Sum of squares = 72,900 - ( 270^2 / 50) are all the variables.
is the formula = 71,442
the root of SS -1
S^2 = 270 / (50 -1) = 270/49 = 5.51
S = sqrt S^2 = sqrt SS /n-1 = sq rt 50 = and you get your answer here.
Standard Deviation on data example here shown is;
S = sqrt 5.51 = sqrt 71442 / n-1 = sq rt 71442/ 50-1 = sq rt 71442/49 = 38.1837662 from a 270 population that exists with 50 age group 25 -75 to show the ease here and how to remember.
Just retrace and where 270 is change for total
Where 50 is put 64-25 = 39
and where n-1 is put 39-1 and always subtract first before dividing as the formula protects the brackets as seen in bold.
As your very last formula is S = SS/n-1
Step-by-step explanation:
find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. if y varies directly as X and Z, and t=8/3 when x=1 and z=4, find y when x=6 and z=3
Answer:
The Question isn't clear
Step-by-step explanation:
Answer:
can someone please answer this question correctly for me. i need it asap
Step-by-step explanation:
if jane give £2 pounds to charlotte they will have equal amount of money. instead
charlotte give £4 to jane the ratio of jane's money to charlotte will be 2:1. how much
do jane and charlotte each have to start with
PLS HELP ASAP !!! PLSSS !! will mark whoever answers correctly as brainliest !
Answer:
60° is the answer sure
I hope the above pic explanation helps
I HOPE IT HELPS
HAVE A GREAT DAY
#Liliflim
Answer:
60°
Step-by-step explanation:
....................................
please help i will mark you brainliest... A number - _________= the previous number
Answer:
1
Step-by-step explanation:
When 1 substract from any number then will get previous number.
Example:
Let any number that is 5
5-1=4
4 is the just previous number of 5
Therefore, number -1 = the previous number
Answer will be 1
if a student is selected at random, find the probability that the student is 14 year old
Answer:
If the student is selected at random the answer is if you put 14 years apart of the student selected at random means the answer are not apart.
Step-by-step explanation:
14 years selected the problem is that 14-9 is more then 9 and u add that up to get the right equation for the 14 years apart
What are the domain and range of this function?
Answer:
first one. domain: all real numbers, range: {y | y ≥ 0}
Answer:
The domain is all real numbers
The range is y ≥ 0
Step-by-step explanation:
The domain is the values that x can take
The domain is all real numbers
The range is the values that y can take
The range is y ≥ 0
please help! (listing BRAINLIST and giving points) :D
Answer:
40°
Step-by-step explanation:
because angle In an isosceles triangle base angles are same and angle in a triangle add up to 180° and angle on a straight line add up to 180°
hope this helps:)
Tom and his four friends are going to a baseball game. If the total amount they spent on tickets was $50, how much did they spend on each ticket?
12.50 on each ticket
Step-by-step explanation:
12.50 x 4 = 50.00
[tex]inverse function of \frac{3^x+2}{3^x-5}[/tex]
Answer:
[tex](3 {}^{x} + 2)(3 {}^{x} + 2)[/tex]
hope it is helpful to you
Triangle ABC is similar to triangle EFD what scale factor is required to dilate triangle abc so that it's image, ABC is congruent to triangle EFD
Step-by-step explanation:
the scale factor k = 5/12
The scale factor k = 5/12 is required to dilate triangle ABC thus, its image, ABC is congruent to triangle EFD.
What is the scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.
From the figure attached, we are given that Triangle ABC is similar to triangle EFD.
Therefore,
BC/ FD = AC/ ED
These corresponding sides are proportional.
Scale factor;
EF / AB = 5/12
Then Angle between this sides is also equal.
The SAS rule of similarity of triangles states that two triangles will be similar if their corresponding two sides are proportional and the angle between these two sides is equal.
The scale factor k = 5/12 is required to dilate triangle ABC thus, its image, ABC is congruent to triangle EFD.
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