The product of the two provided equations, obtained by multiplying each term of the first equation from the second one, is 6p³+29p²+22p-21.
What is the product of two equations?To multiply the two equation, each term of the first equation is multiples from the second term.
The first equation provided in the form of binomial as,[tex]2p+ 7[/tex]
The second equation provided in the form of quadratic equation as,[tex]3p^2 +4p-3[/tex]
The product of these two equations are,
[tex]P=(2p+7)\times (3p^2 +4p-3)\\P=6p^3+8p^2-6p+21p^2+28p-21[/tex]
Arrange the equation with the same power terms,
[tex]P=6p^3+8p^2+21p^2-6p+28p-21\\P=6p^3+29p^2+22p-21[/tex]
Hence, the product of the two provided equations, obtained by multiplying each term of the first equation from the second one, is 6p³+29p²+22p-21.
Learn more about the multiplication of two equation here;
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Rotate RST 90 degrees counterclockwise around the origin
Step-by-step explanation:
Unfortunately, you haven't given the coordinates of RST so I can't tell you exactly what the new points will be, but I can tell you what process to follow.
To find a new point rotated 90 degrees counterclockwise around the origin, simply apply the rule:
(x,y) ----> (-y,x)
You would apply this rule of switching the x and y coordinates and y becomes the opposite(so if it was a positive coordinate, it becomes negative and if it was negative, it becomes positive), to get your new coordinates.
Hope this helps :)
The murphys’ gross annual family income is $120,500. mr. murphy referred to the graph shown below and calculated that his family will spend $28,920 on taxes this year. what is wrong with mr. murphy’s calculation? a circle graph titled murphy's annual expenses. federal taxes, 24 percent; state/local taxes, 10 percent; housing and household, 27 percent; food, 7 percent; medical care, 5 percent; transportation, 9 percent; recreation, 4 percent; clothing, 5 percent; other, 9 percent. a. he has calculated only federal taxes. b. he has calculated only state taxes. c. he does not need to include federal taxes. d. he does not need to include state taxes.
Mr. Murphy's calculation of the taxes they are to pay this year is wrong because He has calculated only federal taxes.
What are state taxes?State income tax is a direct tax levied by a state on income earned in or from the state.
There are several taxes that an employed person must pay including:
Federal income taxesFederal social security taxesState taxesMr. Murphy only calculated the federal taxes and did not include the state ones which are usually higher than the federal tax. Once he includes the state tax, his calculation will be correct.
In conclusion, state taxes need to be paid as well.
To know more about state taxes at;
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Answer:
a. he has calculated only federal taxes
Step-by-step explanation:
How many solutions do the equations below have?
5x=5x+3
5x+6=6x+5
5x+6=5x+6
2x+4=4x+2
2x+4=2x+4
2x=2x+4
Which of the following questions can be answered using the histogram?
a. how many students watched 2 movies
b. what was the greatest number of movies watched?
c. how many students watched 5 or fewer movies?
d. what is the median number of movies watched?
how do I find x? pls asap
Answer:
Step-by-step explanation:
To find the unknown angle in this geometry, you must make use of several facts.
an inscribed angle is half the measure of the arc it interceptsthe sum of arcs of a circle is 360°the measure of a central angle is the same as the measure of the arc it intercepts.__
The long arc intercepted by the inscribed 130° angle will measure 2×130° = 260°. The sum of arcs of a circle is 360°, so the short arc intercepted by the 130° angle (and by x°) is ...
x° = 360° -260° = 100°
The measure of angle x is 100°.
A manufacturer of tennis balls has a daily cost of C(x) = 0. 01x2 – 10x + 4000, where x is the number of tennis balls produced. How many tennis balls should be produced to minimize the cost? What is the minimum cost?
What is 2 log subscript 5 baseline (5 x cubed) one-third log subscript 5 baseline (x squared 6) written as a single logarithm?
The value of logarithm expression 2log₅(5x³) + (1/3)log₅(x² + 6) is simplified as log₅[{25x⁶}{∛(x² + 6)}].
What is a logarithm?Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The logarithmic expression is given as
[tex]2\log _55x^3 + \dfrac{1}{3} \log _5(x^2 +6)[/tex]
We know that formulas
[tex]a \log b = \log b^a\\\\\log a + \log b = \log ab[/tex]
Then we have
[tex]\rightarrow \log _5(5x^3)^2 + \log _5(x^2 +6)^{1/3}\\\\\rightarrow \log _525x^6 + \log _5\sqrt[3]{(x^2 +6)}\\\\\rightarrow \log _5 25x^6 (\sqrt[3]{(x^2 +6)})[/tex]
More about the logarithm link is given below.
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Answer:
B
Step-by-step explanation:
Edge 2022
Which of the following conditions must be met if you want to use z-
procedures to construct a confidence interval for a population proportion?
1. The sample size must be at least 30 (some texts say 50).
II. The population must be at least 10 times as large as the sample (some
texts say 20).
III. Both np and n(1-P) must be at least 10 (some texts say greater than 5).
A. I only
B. Il only
C. III only
D. II and Ill only
E. All are necessary conditions.
Answer: II and III only (2 and 3 only)
Step-by-step explanation: took test and got it right
The point (2, 3) is on the line given by which equation below?
ОА. y= 3х
В. ya x+ 1
ос. у= -3х
O D. y = x-1
Answer:
B) y = x+1
Step-by-step explanation:
the point is (2,3), so x = 2, y = 3
A. y = 3x.
3 ≠ 3*2
B. y = x + 1.
3 = 2+1
C. y = -3x
3 ≠ -3*2
D. y = x-1
3 ≠ 2-1
음
12
18+
12
70
pls answer
Answer:
the awnswer is 112 just so you know thats right
Of the following statements, which one or ones describe actions helpful to your credit score? i. quickly paying off debts ii. having recent debts iii. having long-standing lines of credit a. i only b. ii and iii c. i and iii d. iii only
Answer:
c, I believe.
Step-by-step explanation:
16. You have $20 to spend. You buy socks that cost $3 per pair. a. How many pairs of socks did you buy if you have $8 left? a.
Answer:
4
Step-by-step explanation:
20-8 = 12
12/3 = 4
Find the x-intercept of a line that has the following equation: 2y=3x−6
Answer:
2
Step-by-step explanation:
To find the x-intercept of the equation we have to substitute y = 0 in it.
=> 0 = 3x - 6
=> 3x = 6
=> x = 2
Therefore the line will meet x-axis at (2,0) which means it'll have x - intercept of 2 units.
please help this was due yesterday
Answer:
2) 2^8
3)7^9
4) 1/3^6
5)x^10
6) y^8
7) x^10
Step-by-step explanation:
Unit of Length Length (meter)
Decimeter
10-1
Centimeter
10-2
Millimeter
10-3
Micrometer
10-6
Nanometer
10-9
micrometer(s)
10^4 micrometres
Step-by-step explanation:
the answer is in the image above
Hello I need help with this math question BRAINLIEST For the fastest correct answer
Answer:
A. The temperature outisde and the number of people swimming at the beach.
Step-by-step explanation:
As the temperature decreases the number of people swimming will also decrease. This will create a negative correlation between the two factors.
If 7x+3y=9 is a true equation, what would be the value of 7x+3y−10?
Answer:
-1
Step-by-step explanation:
7x+3y = 9
7x+3y is 9 so it becomes -
9-10
which is -1
hope this helps
:))
Answer:
-1Step-by-step explanation:
Given
7x + 3y = 9We need to evaluate :
7x + 3y - 10We already know the value of 7x + 3y, so substitute its value in the given equation and solve.
7x + 3y - 109 - 10-1Which equation demonstrates the additive identity property? (7 4 i) (7 minus 4 i) = 14 (7 4 i) 0 = 7 4 i (7 4 i) (1) = 7 4 i (7 4 i) (negative 7 minus 4 i) = 0
An equation is formed of two equal expressions. The equation that demonstrates the additive identity property is (7+4i)+0 = (7+4i).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The additive identity property states that any number when added to 0, the result is the number itself. Therefore, the equation that demonstrates the additive identity property is (7+4i)+0 = (7+4i).
Learn more about Equation:
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Answer: B on edge
Step-by-step explanation:
A line has a slope of -6 and includes the points (-1 , q) and (o , -7). What is the value of q?
A.5
B.-5
C. 1
D-1
Answer:
D. -1
Step-by-step explanation:
[tex]\text{slope}= -6 =\frac{q-\left( -7\right) }{\left( -1\right) -0} =\frac{q+7}{-1} = -(q+7) = -q - 7\\\Longrightarrow -6=-q-7\Longrightarrow q=6-7=-1[/tex]
andrea has 37 coins, all nickels and dimes. The value of the 37 coins is $3.10. How many dimes does andrea have ?
Answer:
It would be 25
Step-by-step explanation:
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
Can somebody please help me
Answer:
EH = 16
Perimeter = 46
Step-by-step explanation:
We see that the ratio between the big shape and small shape is 3:2. 3x=24, so x=8. EH=2x=16.
For the second problem, the perimeter is 46.
This is because it also follows the same rule as 3:2. If you do this for every side, you find out that the sides are 10, 10, 6, 12, and 8. Add them together to get 46.
I hope this helped!
It would be greatly appreciated if you marked this answer as brainliest!
What is the measure of angle 3 if the measure of
angle 6 is 4x + 10 and the measure of angle 7 is 2x + 40?
Answer:
Angle 3 = 86.8
Angle 6 = 96.4
Angle 7 = 93.2
Step-by-step explanation:
Given :
angle 6 = 4x + 10
angle 7 = 2x + 40
=> angle 6 + angle 7 = 180° { linear pair }
=> 4x+10 +2x+40 = 180
=> 6x+50 = 180
=> 6x = 180-50
=> 6x = 130
=> x = 130/6
=> x = 21.6
so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4
the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2
now angle 7 = angle 4 + angle 5
and angle 3 + angle 4 + angle 5 = 180°
so, angle 7 + angle 3 = 180
=> 93.2 + angle 3 = 180
=> angle 3 = 180 - 93.2
=> angle 3 = 86.8
PLEASE I NEED THIS!! (20 points)
A six-sided fair die is rolled two times. Arrange the events in order from the event with the highest probability to the event with the lowest probability.
the probability of
getting the same
number on
each roll
the probability of
obtaining an odd
prime number
(excluding 1) on
each roll
the probability
that the difference
of the two
numbers is at
most 1
the probability
that the second
number is a
multiple of the
first number
, , ,
Answer:
event 2 > event 4> event 1> event 2
Step-by-step explanation:
Total outcomes of rolling a dice twice = 36
{1,1};{1,2};{1,3};{1,4};{1,5};{1,6}
{2,1};{2,2};{2,3};{2,4};{2,5};{2,6}
{3,1};{3,2};{3,3};{3,4};{3,5};{3,6}
{4,1};{4,2};{4,3};{4,4};{4,5};{4,6}
{5,1};{5,2};{5,3};{5,4};{5,5};{5,6}
{6,1};{6,2};{6,3};{6,4};{6,5};{6,6}
Write 27 as a product of three prime
Answer:
[tex]3 \times 3 \times 3 = 27[/tex]
This is a correct answer
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Answer:
hope it helpsStep-by-step explanation:
27 can be written as 27= 3 × 3 × 3.So 27 can be called sphenic numberIn number theory, a sphenic number (from Ancient Greek: σφήνα, 'wedge') is a positive integer that is the product of three distinct prime numbers.In a certain lottery, 5 numbers between 1 and 13 inclusive are drawn. these are the winning numbers. how many different selections are possible? assume that the order in which the numbers are drawn is not important. a. 1287 c. 371,293 b. 154,440 d. 120
The order in which the numbers are drawn is not important will be 1287.
What is the combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.
When order of selecting things does not matter, then the combination odd n things taking r at a time is given by :-
[tex]nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Given : The total numbers in lottery = 13
The total numbers to choose to win the lottery =- 5
Then the combination of 13 numbers taken 5 at a time is given by
[tex]13C_r=\dfrac{13!}{5!(13-5)!}=1287[/tex]
Hence the order in which the numbers are drawn is not important will be 1287.
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What is 42/3 simplified?
Answer:
14 - hope this helped :)
Step-by-step explanation:
42 divided by 3
= 13
therefore
42/3 is simplified to 14
slove for n:(3 over 5 to the power of 2 ×25=3 n
Answer:
n = 2
Step-by-step explanation:
Given equation:
[tex]\left(\dfrac35\right)^2 \times 25=3^n[/tex]
[tex]\textsf{Apply exponent rule }\left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c} :[/tex]
[tex]\implies \left(\dfrac{3^2}{5^2}\right) \times 25=3^n[/tex]
[tex]\textsf{Apply}\: \left(\dfrac{a}{b}\right) \times c=\dfrac{ac}{b} :[/tex]
[tex]\implies \dfrac{3^2\cdot 25}{5^2}=3^n[/tex]
[tex]\textsf{Apply}\:5^2=5 \times 5=25:[/tex]
[tex]\implies \dfrac{3^2\cdot 25}{25}=3^n[/tex]
Cancel the common factor 25:
[tex]\implies 3^2=3^n[/tex]
[tex]\textsf{If}\:a^{f(x)}=a^{g(x)},\:\textsf{then}\:f(x)=g(x) :[/tex]
[tex]\implies 2=n[/tex]
Answer:
n = 2
Step-by-step explanation:
Hello!
Step 1: Expand the fractionWe can use the exponent rule to square 3/5.
([tex]\frac35[/tex])² = [tex]\frac{3^2}{5^2}[/tex][tex]\frac{9}{25}[/tex]Step 2: SimplifyNow, we can multiply
[tex]\frac{9}{25} * 25 = 3^n[/tex][tex]9 = 3^n[/tex]Now, we need to find how many times 3 is multiplied to get 9 ,and that would be 2
Which of the following statements are correct based on the diagram? Select all that apply.
Segment U T is congruent to segment X V
Angle S is congruent to angle V
Segment S T is congruent to segment W V
Angle V is congruent to angle T
Segment U S is congruent to segment X V
Answer:
Segment U T is congruent to segment X V
Segment S T is congruent to segment W V
Angle V is congruent to angle T
Lucas has an insect collection that contains only ants and beetles. On Tuesday sergio did not have much luck finding insects to add to his collection. The number of ants plus twice the number of beetles was only eight. The difference between the number of ants and beetles was -4. How many ants and beetles did he catch?
Lucy caught 0 ants and 4 beetles on tuesday which he added to his collection.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of ants and y represent the number of beetles. Hence:
x + 2y = 8 (1)
also:
x - y = -4 (2)
x = 0, y = 4
Lucy caught 0 ants and 4 beetles on tuesday which he added to his collection.
Find out more on equation at: https://brainly.com/question/1214333
Answer:Lucy caught 0 ants and 4 beetles on tuesday which he added to his collection.
Step-by-step explanation:
how many degrees is parallel
Answer:
180 degrees
Step-by-step explanation:
A full circle is 360 degrees
Parallel is half of a circle, so, 360/2=180
Hope it Helps