Answer: 7
Step-by-step explanation:
This means we substitute x=3 into f(x).
f(3) = 3^2 - 2 = 7.
A.
when are non-forfeiture provisions used?
when the insured names a beneficiary
b. when the insured stops making premium payments on a cash value policy
c. when the insured converts a term policy
d. when the insured dies and there is a settlement
Answer: should be B
Step-by-step explanation:
PLS HELPpppppppppppp ;0
Answer:
reflection
Step-by-step explanation:
by examination
Answer:
A reflection off the x axis
Step-by-step explanation:
Hope this helps!!!
Look at the PICTURE and please respond FAST to get MARKED best.
Answer:
y = 45, x = 25
Step-by-step explanation:
Since 120 and (2y + 30) are vertical angles, (2y + 30) will equal 120.
2y + 30 = 120, Subtract by 30 on both sides
2y = 90, Divide 90 by 2
y = 45
Since 120 and (2x + 10) equal a straight line, it's a supplementary angle. Supplementary angles are equal to 180. Then you do 180 - 120, which equals 60. That means (2x + 10) equals 60.
2x + 10 = 60, Subtract 10 by both sides
2x = 50, Divide 50 by 2
x = 25
separate into real and imaginary parts and find the multiplicative inverse of √2+i/√2-i (only 2 is in the √
The multiplicative inverse for √2-i = 1/(√2+1) and The multiplicative inverse is √2+1 = 1/(√2-1)
Real and Imaginary Numbers/Complex NumbersGiven Data
First expression = √2+iSecond expression = √2-iFor√2+i
the real part is is √2 and the imaginary part is i
The multiplicative inverse is √2+1 = 1/(√2-1)
rationalising the denominator we have
= 1/√2-1 * √2-1/√2-1
= √2-1/(√2-1)*(√2-1)
= √2-1/(2-√2-√2+1)
= √2-1/(-2√2+3)
For√2-i
the real part is is √2 and the imaginary part is -i
The multiplicative inverse is √2-1 = 1/(√2+1)
Rationalising the denominator we have
= 1/√2+1 * √2+1/√2+1
= √2+1/(√2+1)*(√2+1)
= √2+1/(2+√2+√2+1)
= √2+1/(2√2+3)
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Write x=2 in Slope intercept form
Answer:
y= 2/1 + 0
Step-by-step explanation:
If there's not a y-int. it'll be 0.
The sales tax in your state is 5%. If a car cost 16,700 what is the total cost, including tax.
Answer:
17,535 dollars
Step-by-step explanation:
5% of 16,700 is 835, so add the two together and you get your answer.
which experssion is equivalent to 5(4x+3)-2x
Answer:
18x + 15
Step-by-step explanation:
First, deal with the first part of the question:
5(4x+3)
We multiply the outside of the brackets with the inside. So, we do
5 x 4x = 20x
and 5 x 3 = 15
then put them together:
20x+15
Now, the second part:
- 2x
We cannot simplify this further so we put the two parts together:
20x + 15 - 2x
Collect like terms (20x - 2x) =
18x + 15
I hope this helped. If you have any further questions, do ask.
- profparis
Scientists developed a maze for rats that has 555 compartments, and each compartment had a different food. In each trial, scientists would record which compartment the rat went to first. They were curious if the rats favored some compartments more than others. Here are the results from 1000 trials.
The expected count that can be deduced from the arrivals to the second compartment will be 200.
How to calculate the expected count?It should be noted that in order to perform a goodness of fit test, the expected number of rats that are in each compartment will be gotten.
Therefore, the expected number of rats that will be in the second compartment will be:
= 1/5 × 1000
= 200
In conclusion, the correct option is 200.
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5. Simplify the expression,
(-2 - 5i) - (-4+6i)
2 - 11i
-2+i
-6 + 11i
-5i
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's simplify ~
[tex]\qquad \sf \dashrightarrow \:( - 2 - 5i) - ( - 4 + 6i)[/tex]
[tex]\qquad \sf \dashrightarrow \: - 2 - 5i + 4 - 6i)[/tex]
[tex]\qquad \sf \dashrightarrow \: - 2 + 4 - 5i- 6i)[/tex]
[tex]\qquad \sf \dashrightarrow \:2 - 11i[/tex]
Therefore, A is the Correct choice !
We want to find the zeros of this polynomial:
p(x) = (x+2) (2x^2 + 3x-9)
Answer:
x = - 2, x = - 3, x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
to find the zeros equate p(x) to zero , then
(x + 2)(2x² + 3x - 9) = 0 ← factor the quadratic
(x + 2)(x + 3)(2x - 3) = 0
equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 3 = 0 ⇒ x = - 3
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
the temperature is currently 0°C and
has been falling at a constant rate of 3°C per hour.
If it continues fall at this rate, what will the temperature be:
• in 2 hours?
Answer:-6°
Step-by-step explanation:
-3° the first hour -6° the next
Find f(2) if f(x)=2x+1
[tex]f(x) =2 x+1 \\\\ \text{If x = 2,}\\\\f(2) = 2(2) +1 = 4+1 = 5[/tex]
Answer:
5
Step-by-step explanation:
plug 2 in for x
f(2) = 2(2) + 1
f(2) = 5 [Asnwer]
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
which is closer to -3/5 … 2/5, -0.2, -4/5, 0.6
-3 : 5 = - 0,6
so it will be - 4/5 (= - 0,8)
I need help on this question
Answer:
ans: 4/729
Step-by-step explanation:
here,
-2 ^2 = 4
and
(3^3)^2 = 3^6 = 729
= 4/729
A store is open for business while it is being renovated. The noise from the renovation is increasingly driving
away customers. The daily revenue, r (d), the store has made d days since renovation began is modeled by the
function r (d) = 10,000 (0. 939)d. What is the factor of decay in this function?
A
1. 9539
B
10,000
с
0. 0461
D
0. 9539
The factor of decay in the function that represents the daily revenue of the store is 0.939.
What is the factor that represents decay?
The factor that represents decay is the factor that reduces the growth rate of revenue for this store. In the given function, the factor that represents decay would have a value that is less than one.
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You have a coupon for 35% off any purchase over $15 at a pizza shop. If your order totals $18, how
much do you have to pay?
Answer:
11.7
Step-by-step explanation:
I think that is right because you have to - 35%
Use the law of sines to find the value of y. round to the nearest tenth. law of sines: startfraction sine (uppercase a) over a endfraction = startfraction sine (uppercase b) over b endfraction = startfraction sine (uppercase c) over c endfraction 1.4 units 1.6 units 2.5 units 2.6 units
Using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b} = \dfrac{\sin\angle C}{c}[/tex]
Remember that we took
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
For this case, the missing image is attached below.
Applying the sine law, as we have:
The side opposite to angle Y is XZ of length y units,The side opposite to the angle Z is XY of length 2 units,The side opposite to the angle X is YZThe first two angles Y and Z are enough. (we use angle Z as the length of the side opposite to Z is known).
Using sine law, we get:
[tex]\dfrac{\sin(m\angle Y)}{y} = \dfrac{\sin(m\angle Z)}{2}\\\\y = \dfrac{\sin(75^\circ) \times 2}{\sin(50^\circ)} \approx 2.522 \approx 2.5 \: \rm units[/tex]
Thus, using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units
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An equilateral triangle with side lengths equal to 12 StartRoot 3 EndRoot units is inscribed in a circle. Half a side length of the equilateral triangle is 6 StartRoot 3 EndRoot units, so the apothem is units long and the radius of the circle is units long. Each segment of the circle has an area equal to the difference between the areas of the sector and triangle, or ( π − StartRoot 3 EndRoot) units2.
The apothem (x) is 11.62 units, the radius of the circle is 12 units, and the area of each segment is 48π − 23.25√3 square units.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
An equilateral triangle with side lengths equal to 12√3 units is inscribed in a circle.
And half a side length of the equilateral triangle is 6√3 units.
The apothem (x) is units long and the radius of the circle will be
x² = (9√3)² - (6√3)²
x² = 243 - 108
x² = 135
x = 11.62
And the radius of the circle will be
[tex]\begin{aligned} \cos 30 &= \dfrac{6\sqrt3}{r}\\\\\dfrac{\sqrt3}{2}&= \dfrac{6\sqrt3}{r}\\\\r &= 12 \end{aligned}[/tex]
Each segment of the circle has an area that will be
Area = the difference between the areas of the sector and triangle
Area = the areas of the sector - the areas of the triangle
The area of the sector will be
[tex]\rm Sector's \ area= \dfrac{120}{360} \pi *12^2 \\\\Sector's \ area= 48\pi[/tex]
The area of the triangle will be
[tex]\rm Triangle's \ area = \dfrac{1}{2*3} * 11.62 * 12\sqrt3\\\\Triangle's \ area = 23.25\sqrt3[/tex]
Then the area of each segment will be
Segment area = 48π − 23.25√3
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Answer:
1. 6
2. 12
3. 48
4. 36
Step-by-step explanation:
7(g + 2h)
What is an equivalent expression
Answer:
7g+14h
Step-by-step explanation:
hope it helped you
Answer:
7g + 14h
Step-by-step explanation:
What is an equivalent expression?
7(g + 2h)
7(g) + 7(2h) <== multipe both terms by 7
7g + 14h
Hope this helps!
express 59/2^4×5^4 in decimal form.
answer asap. Ill mark brainliest
Answer:
~Male Y/n here~ I think this would be your question in decimal form,
2304.6875
(Hope this helps!)
please just answer don’t explain
Answer:
13 C 14 D 15 A 16 B
Step-by-step explanation:
Sorry thats all i know hope you found this helpful
Find the hypotenuse, , of the triangle
Answer:
hypoténuse = 15 in
b ² = 15² - 9²
b ² = 144
b = √144 = 12
Perimeter = 15 + 9 + 12 = 36 inches
Step-by-step explanation:
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
Find the missing side of the triangle.
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
We should find the leg of this right triangle, not the hypotenuse.
The hypotenuse, the longest side, is already given to us.
We can find it using Pythagoras' Theorem:
[tex]\Large\textbf{$a^2+b^2=c^2$}[/tex].
We know b and c, we need to find a.
[tex]\bf{a^2+9^2=15^2}[/tex] | square
[tex]\bf{a^2+81=225}[/tex] | subtract 81
[tex]\bf{a^2=144}[/tex] | square-root both sides
[tex]\bf{a=\pm12}[/tex]
And we should automatically cross out this extraneous solution of "a=-12", because side lengths can't be negative!
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{a=12}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic\not1\theta\ell}}[/tex]
6.005= as what percent
Answer:
[tex]\displaystyle 600\frac{1}{2}\%[/tex]
Explanation:
Just move the decimal mark twise to the right and you will arrive at your result.
I am joyous to assist you at any time.
need help on this ratio question 4:8 in simplist form then into a fraction?
Answer:
4:8 in simplified form would be 1/2
Step-by-step explanation:
Think of 4:8 as a fraction, so 4/8. Now, you can reduce it to the lowest form, which is 1/2. How? 4 is the numerator, and 8 is our denominator. Now, we divide 4 by 8. 4 divided by 8 equals 0.5, where 0.5 is converted into 1/2!
A textile factory uses a 43 pound bucket of dye to color a roll of fabric that is
1,067 feet long. if the company has 4 buckets of dye, can it color 5 rolls of
fabric?
Answer:
No
Step-by-step explanation:
At one bucket per roll, four buckets will color four rolls, not 5.
__
The company cannot color 5 rolls of fabric with 4 buckets of dye.
A letter is randomly selected from the word “PINEAPPLE.” Which is
more likely, selecting "E” or selecting "P?" Explain your reasoning.
Answer:
e= 2/9
p= 3/9
Step-by-step explanation:
p is the answer
The more likely probability is selecting the letter P from the word “PINEAPPLE.”
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
To determine which letter is more likely to be selected, "E" or "P," we need to compare the number of occurrences of each letter in the word "PINEAPPLE."
In the word "PINEAPPLE," there is only one occurrence of the letter "E."
And , there are three occurrences of the letter "P" in the word "PINEAPPLE."
Therefore, the probability of selecting E = 2/9
And , the probability of selecting P = 3/9
Hence , it is more likely to select the letter P than E
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Mrs. Orrie surveyed all classes that he teaches about the three different types of music thay students most listen to. His findings are displayed in the Venn diagram below.
Part A: Determine the probability that a student will like Top-Hits.
Part B: Determine the probability that a student will like country or R&B.
Part C: Determine the probability that a student will not like all three generes of music.
Using the probability concept, it is found that there is a:
A. 0.5116 = 51.16% probability that a student will like Top-Hits.
B. 0.7907 = 79.07% probability that a student will like country or R&B.
C. 0.9186 = 91.86% probability that a student will not like all three generes of music.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
According to the Venn diagram, there is a total of 18 + 8 + 11 + 7 + 24 + 1 + 17 = 86 students.
Item a:
18 + 11 + 7 + 8 = 44 like top hits, hence:
p = 44/86 = 0.5116.
0.5116 = 51.16% probability that a student will like Top-Hits.
item b:
24 + 11 + 7 + 1 + 17 + 8 = 68 like country of R&B, hence:
p = 68/86 = 0.7907.
0.7907 = 79.07% probability that a student will like country or R&B.
Item c:
Only 7 like all three, hence 86 - 7 = 79 do not.
p = 79/86 = 0.9186.
0.9186 = 91.86% probability that a student will not like all three generes of music.
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A local candy shop sells boxes of chocolate for $3.75 each. If a customer purchases six or more boxes, the cost is only $3.25 per box, plus the customer has an additional $5 fee per order. If C(x) represents the total cost and x represents the number of boxes, which of the following functions best models this scenario?
The piecewise function that models the scenario is:
c(x) = $3.75*x + $5 if x < 6
c(x) = $3.25*x + $5 if x ≥ 6.
How to write a piecewise function?
A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.
The function in this case, if we define x as the number of boxes bought, is:
c(x) = $3.75*x + $5 if x < 6c(x) = $3.25*x + $5 if x ≥ 6.Where the cost per box changes for x equal or larger than 6.
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Adjacent --------------------- Vertical
DBC and ABC
ABC and DBE
CBD and EBA
EBA and ABC
put them where they're supposed to go
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Adjacent Angles are the angles that shares a common arm, where as the vertical angles are the ones that are exact opposite to each other.
Now, since we know the concept, let's dig in ~
DBC and ABC - Adjacent ABC and DBE - Vertical CBD and EBA - VerticalEBA and ABC - AdjacentCondense the logarithmic expression using logarithmic properties.
3 log x + 2 log y - log y
Answer: [tex]log (x^3y )[/tex]
Step-by-step explanation:
First we want to make the coefficients of the log the exponents of what is in the log
[tex]3 log (x) + 2 log (y) - log (y)\\log (x^3) + log (y^2) - log (y)[/tex]
Now adding two log with the same base is the same as multiplying what you are taking the log of
[tex]log (x^3) + log (y^2) - log (y)\\log (x^3y^2) - log (y)[/tex]
Now subtracting two logs with the same base is the same as dividing what you are taking the log of
[tex]log (x^3y^2) - log (y)\\log (\frac{x^3y^2}{y} )[/tex]
Now we simplify
The [tex]y^2[/tex] cancels out the y in the denomiator
[tex]log (x^3y^2) - log (y)\\log (x^3y )[/tex]
Step-by-step explanation:
xlog3+ylog2-ylog
log3×log2 -ylog
log6-ylog