Answers
answer
12
f(x) in that range is equal to 12
so f(9)=12
Related Questions
For the polynomial below, what is the coefficient of the term with the power of 3?
x^3+1/3x^4+6x+5
A. 6
B. 5
C. 0
D. 1
Answers
D.1
because even though there is not a number in front of X, we are to assume it is 1.
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
[tex]x^3+\frac{1}{3}x^4+6x+5[/tex]
Coefficient of the terms are as follows:
Coefficient of x³ is 1
Coefficient of x⁴ is [tex]\frac{1}{3}[/tex]
Coefficient of x is 6
Constant term is 5
Hence, coefficient of the term with the power of 3 is 1.
Therefore, Option 'D' is correct.
Find 3 consecutive integers if the sum of the first and third is 128
Answers
2x + 2 = 128
2x = 126
x = 63
numbers are: 63, 64, 65
What is the point slope equation of the line with slope -12 that goes through the points (5, 3)?
Answers
y-y1=m(x-x1), where m=slope and (x1,y1) is any point on the line.
In this case we are given that m=-12 and (x1,y1) is (5,3) so
y-3=-12(x-5)
Answer:
y = -12x + 63
Step-by-step explanation:
- The equation of a line in a cartesian coordinate system is given by the following linear relationship:
y = mx + c
- The constants m and c are to be determined.
- The constant m denotes the slope of the line which is given as -12.
- To evaluate constant c we will plug the slope m = -12 and use the given point ( 5 , 3 ) as the lines passes through it. Hence, we have:
y = -12x + c
3 = -12(5) + c
3 = - 60 + c
c = 63
- Then the equation of the line can be expressed by plugging in the constants m and c as follows:
y = -12x + 63
Which of the following is an identity? A. sin2x sec2x + 1 = tan2x csc2x B. sin2x - cos2x = 1 C. (cscx + cotx)2 = 1 D. csc2x + cot2x = 1
Edit: no one answered but I figured out that the right answer is A
Answers
sin²(x) + cos²(x) = 1
tan²(x) + 1 = sec²(x)
1 + cot²(x) = csc²(x)
We can start by checking each option to see which one would give us any of the 'Pythagorean' identities as its simplest form
Option A:
sin²(x) sec²(x) + 1 = tan²(x) csc²(x)
Rewriting sec²(x) as 1/cos²(x)
Rewriting tan²(x) as sin²(x)/cos²(x)
Rewriting csc²(x) as 1/sin²(x)
We have
[tex]sin^{2}(x)[ \frac{1}{ cos^{2}(x) }]+1=[ \frac{ sin^{2}( x)}{ cos^{2} (x)}][ \frac{1}{ sin^{2}(x) } ][/tex]
[tex] [\frac{ sin^{2}(x) }{ cos^{2}(x) } ]+1= \frac{1}{ cos^{2}(x) } [/tex]
[tex] tan^{2}(x)+1= sec^{2}(x) [/tex]
Option B:
sin²(x) - cos²(x) = 1
This expression is already in the simplest form, cannot be simplified further
Option C:
[ csc(x) + cot(x) ]² = 1
Rewriting csc(x) as 1/sin(x)
Rewriting cot(x) as cos(x)/sin(x)
We have
[tex][ \frac{1}{sin(x)}+ \frac{cos(x)}{sin(x)}] ^{2} =1[/tex]
[tex] \frac{1}{sin^2(x)}+2( \frac{1}{sin(x)})( \frac{cos(x)}{sin(x)})+ \frac{cos^2(x)}{sin^2(x)}=1 [/tex][tex]csc^2(x)+2csc^2(x)cos(x)+cot^2(x)=1[/tex]
Option D:
csc²(x) + cot²(x) = 1
Rewriting csc²(x) as 1/sin²(x) and cot²(x) as cos²(x)/sin²(x)
[tex] \frac{1}{sin^2(x)}+ \frac{cos^2(x)}{sin^2(x)}=1 [/tex]
[tex] \frac{1+cos^2(x)}{sin^2(x)} =1[/tex]
[tex]1+cos^2(x)=sin^2(x)[/tex]
[tex]1=sin^2(x)-cos^2(x)[/tex]
from our working out we can see that option A simplified into one of 'Pythagorean' identities, hence the correct answer
Answer: A is the correct answer.
Step-by-step explanation:
Just did the question, followed OP's advice since no one answered. Good luck.
How tall would a stack of 1000 pennies be in centimeters?
Answers
Diameter: 19 mm
Thickness: 1.52 mm ( according to the US mint )
1000 * 1.52 = 1,520 mm = 1.52 m = 1 m 52 cm
Answer:
A stack of 1000 pennies would be 1 m 52 cm tall.
To calculate the height of a stack of 1000 pennies, multiply the thickness of one penny (0.1524 cm) by 1000. The total height would be 152.4 cm.
Explanation:Calculating the Height of a Stack of 1000 Pennies
To calculate the height of a stack of 1000 pennies, we first need to know the thickness of one penny. Unfortunately, the data provided talks about the volume of a stack of 100 bills, which is not directly relevant to our problem. However, by using the correct information, we find that a US penny is approximately 0.0598 inches (or 0.1524 cm) in thickness. So the calculation for the height of 1000 pennies stacked would be as follows:
Thickness of one penny = 0.1524 cmTotal height = 0.1524 cm/penny × 1000 penniesTotal height = 152.4 cmThus, the height of a stack of 1000 pennies would be 152.4 centimeters.
Learn more about Stack of 1000 Pennies Height here:https://brainly.com/question/4558969
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Ac=3x+6 and CD=2x+14 what is the value of x
Answers
And since the problem gave us two equations to use we will substitute them into the previous statement.
3x + 6 = 2x + 14
We now simplify with algebra and I will show every step.
3x + 6 = 2x + 14
-2x = -2x
x + 6 = +14
-6 = -6
x = 8
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
We have been given that [tex]AC=3x+6[/tex] and [tex]CD=2x+14[/tex].
To solve for x, we are assuming that C is the midpoint of segment AD and we will equate both expressions as:
[tex]3x+6=2x+14[/tex]
[tex]3x-2x+6=2x-2x+14[/tex]
[tex]x+6=14[/tex]
[tex]x+6-6=14-6[/tex]
[tex]x=8[/tex]
Therefore, the value of x is 8.
In a 45-45-90 triangle, the length if the hypotenuse is 11. Find the length of one of the legs
Answers
Answer:
[tex] \frac{11\sqrt{2}}{2}[/tex]
Step-by-step explanation:
In a 45-45-90 triangle, the length if the hypotenuse is 11
WE use the common ratio of 45-45-90 degree triangle
common ration is x: x: x sqrt(2)
x sqrt(2) is the length of the hypotenuse
[tex]x\sqrt{2} = 11[/tex]
Divide by sqrt(2) on both sides
[tex]x= \frac{11}{\sqrt{2}}[/tex]
To rationalize the denominator, multiply by sqrt(2) at the top and bottom
sqrt(2) * sqrt(2) = 2
[tex]x= \frac{11\sqrt{2}}{2}[/tex]
How many values of θ will satisfy tan-1 0 = θ when 0º<θ<90º?
Answers
tan⁻¹ 0 = θ when 0° < θ < 90°.
The restriction on θ places the angle in the 1st quadrant.
When tan θ = 0, θ = 0°, 180°, 360°, ...
If θ >= 0, then a solution exists in the 1st quadrant.
Because of the requirement θ>0, no answer satisfies the given equation.
Answer: None
A brick patio measures 18 ft by 16 ft by 6 in. find the volume of the bricks. if the density of the bricks is 130 pounds per cubic foot, what is the weight of the patio in pounds?
Answers
18 x 16 = 288
6 inches = 0.5 ft
288*0.5 = 144
patio = 144 cubic feet
144*130 = 18,720 total pounds
PLEASE HELP!!!
How can one thirdx − 2 = one fourthx + 11 be set up as a system of equations?
3y − x = −6
4y − x = 44
3y + x = −6
4y + x = 44
3y − 3x = −6
4y − 4x = 44
3y + 3x = −6
4y + 4x = 44
Answers
3y=x-6
3y-x=-6
y=1/4x+11
4y=x+44
4y-x=44
Answer: Hello!
we have that:
one third x − 2 = one fourth x + 11
this means:
(1/3)x - 2 = (1/4)x + 11
if this are equal numbers, we can write it as:
(1/3)x - 2 = y = (1/4)x + 11
now we have the system of equations:
(1/3)x - 2 = y
(1/4)x + 11 = y
if we "simplify" the rational therm in each equation, we get:
3*(1/3)x - 3*2 = 3y
x - 6 = 3y
and
4*(1/4)x + 4*11 = 4y
x + 44 = 4y
Then our system of equations is:
x - 6 = 3y
x + 44 = 4y
Now we can subtract x in each side of both equations:
-6 = 3y - x
44 = 4y - x
Then the right option is the first one.
3y - x = -6
4y - x = 44
Practice writing linear equations in different forms. Line AB goes through the points A (0, –4) and B (6, 2). Which equation represents line AB? y – 4 = 3x y – 2 = 3(x – 6) y + 4 = x y + 6 = x - 2
Answers
slope = (2 - (-4) / (6 - 0) = 6/6 = 1
y = mx + b
slope(m) = 1
(0,-4)..x = 0 and y = 4
sub and find b
4 = 1(0) + b
4 = b
equation is : y = x + 4...or x - y = -4
or y + 4 = 6(x - 0) ...or y - 2 = 6(x - 6)
the answer is c . y + 4 = x
what would be the measure of angle DGF, if segment DG is a bisector of angle G
30 degrees.60 degrees.90 degrees.None of the choices are correct.
Answers
a bisector, means, it "cuts in two equal halves".
Question 25. How do you do it?
Answers
One person rents for $6 plus the green fee for one person. Let g = the green fee for a person. The total cost, club rental plus green fee, was $76.
6 + g = 76
g = 70
In one baseball season, Peter hit twice the difference of the number of homeruns Alice hit and 6. Altogether, they hit 18 homeruns. how many homeruns did each player hit that
season?
Answers
x = 2(y - 6)
This is the equation for the relationship between Peter's and Alice's hits. The second equation would be the sum of their hits:
x + y = 18
These are the two independent equations in order to solve the two unknowns, x and y. Substituting the first equation into the second equation,
2(y - 6) + y = 18
2y - 12 + y = 18
3y = 18 + 12
3y = 30
y = 10
Using y=10 to the first equation:
x = 2(10 - 6)
x = 8
Therefore, Peter made 8 homeruns, while Alice made 10 homeruns for a total of 18.
A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.
9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data? Round to the nearest hundredths.
Answers
Mean = 9 + 7 + 6.5 + 7.5 + 7 + 8 + 5 + 6 + 7.5 + 8 / 10
Mean = 6.4
Squared of the sum of the differences = (9-6.4)^2 + (7-6.4)^2 + (6.5-6.4)^2 + (7.5-6.4)^2 + (7-6.4)^2 + (8-6.4)^2 + (5-6.4)^2 + (6-6.4)^2 + (7.5-6.4)^2 + (8-6.4)^2 = 17.15
Variance = 17.15 / 10 = 1.715
uhhhh how do i make a line parallel to AB through point C
Answers
f(x)=11x-5, then f^-1(x)=
Answers
y=11x-5
x=11y-5
11y=5+x
divide each term by 11 to get:
y= 5/11 + x/11
so f^-1(x) = 5/11 + x/11
Use the information in the figure. If m∠F = 76°, find m∠E
Answers
Answer:
m∠E=52°.
Step-by-step explanation:
The given triangle has two sides equal. In isosceles triangle two sides are equal and base angles are equal.m∠E=m∠D.
Let m∠D=m∠E= x
The sum of angles in any triangle is 180°.
Or,
x+x+76= 180
Addling like terms :
2x+76=180
Subtracting 76 both sides,
2x=104.
Dividing by 2:
x=52.
m∠E= 52°.
Simplify the sum. (8u3 + 8u2 + 6) + (4u3 – 6u + 3)
Answers
-Your answer and work for the question above should look like this:
8u3+8u2+6+4u3−6u+3
=8u3+8u2+6+4u3+−6u+3
=8u3+8u2+6+4u3+−6u+3
=(8u3+4u3)+(8u2)+(−6u)+(6+3)
=12u3+8u2+−6u+9
-Remember to mark this answer as Brainliest! Glad I could help!
A҉z҉u҉i҉e҉x҉
Answer:
[tex]12u^{3}+8u^{2}-6u+9[/tex]
Step-by-step explanation:
we have
[tex](8u^{3}+8u^{2} +6)+(4u^{3}-6u+3)[/tex]
Group terms that contain the same variable
[tex](8u^{3}+4u^{3})+8u^{2}-6u+(6+3)[/tex]
Combine like terms
[tex](12u^{3})+8u^{2}-6u+(9)[/tex]
[tex]12u^{3}+8u^{2}-6u+9[/tex]
The perimeter of a rectangle is 42 m. the length of the rectangle is 3 m more than twice the width. find the dimensions of the rectangle.
Answers
42/2 = 21
21 = w +2w+3
21 = 3w +3
18 =3w
w = 18/3 = 6
width is 6
length = 6x2=12+3 = 15
6+6+15+15 = 42
width = 6 m
length = 15 m
PLEASE HELP I WILL RATE YOU BRAINLIEST!!
Write -5.8 as a mixed number in simplest form. Show your work
Answers
Statistical Literacy For a binomial experiment with rr successes out of nn trials, what value do we use as a point estimate for the probability of success pp on a single trial? Select one: a. p hat = n-r b. p hat = n+r c. p hat = n/r d. p hat = r/n
Answers
[tex]\hat{p}= \frac{r}{n} [/tex]
If 3 is added to a number and the sum is tripledtripled, the result is 27 more than the number. find the number.
Answers
To solve this problem, let us say that the number is called x and let us do this step by step.
1st step: 3 is added to the number, therefore:
x + 3
2nd step: the sum is tripled, therefore:
3 (x + 3)
3rd step: the result in the 2nd step is equal to 27 more than the original number, therefore:
3 (x + 3) = x + 27
4th step: find for the value of x using the equation
3 x + 9 = x + 27
3 x – x = 27 – 9
2 x = 18
x = 9
Answer:
The number is 9
What is the measure of a base angle of an isosceles triangle if the vertex angle measures 38° and the two congruent sides each measure 21 units?
Answers
The measure of a base angle in an isosceles triangle with a vertex angle of 38° is 71°, as isosceles triangles have two equal base angles and the total sum of angles in any triangle is 180°.
Explanation:To calculate the measure of a base angle in an isosceles triangle, we need to remember that the sum of angles in a triangle is always 180°. Given that we have a vertex angle of 38°, we subtract that from 180° to find the sum of the two base angles. Since it's an isosceles triangle, these angles are equal:
180° - 38° = 142° (sum of both base angles)142° / 2 = 71° (measure of one base angle)Therefore, the measure of one base angle in this isosceles triangle is 71°.
The measure of each base angle of an isosceles triangle is 71°.
Explanation:An isosceles triangle has two congruent sides and two congruent base angles. In this case, the vertex angle measures 38° and the congruent sides each measure 21 units. To find the measure of a base angle, we can use the fact that the sum of the angles in a triangle is 180°. Since the vertex angle is 38°, the sum of the base angles is 180° - 38° = 142°. Since the base angles are congruent, we can divide 142° by 2 to find the measure of each base angle.
142° / 2 = 71°
Therefore, the measure of each base angle is 71°.
Describe how the graph of y=|x|-12 is like the graph of y=|x| and how it is different?
Answers
Shift it downward by 12 units.
The whole shape of the two graphs will be the same.
Answer:
Both functions are similar, because basically they have the same behaviour, but the difference is that they start from a different vertex. The reason of this is because [tex]y=|x|-12[/tex] is a translation of [tex]y=|x|[/tex].
Basically, the first function is similar to the second one, but translated downwards 12 units.
So, they are similar in behaviour, we could say parallel, but different on the position of the vertex, the first is at y=-12, and the second one at y=0.
The graph of each function is attached, there you can observe the similarity and different we mentioned before.
Please HELP
1-) Solve the equation using the Properties of Equality.
11 − c = −17
2-)Solve the equation using the Properties of Equality.
1/2y + 1/5=1/2
Answers
11-c = -17
First, we need to isolate the term with the variable. We can simply do that by subtracting 11 from both sides as follows:
11-11-c = -17-11
-c = -28
Then, we will multiply both sides by -1 to get the positive value of c as follows:
-c x -1 = -28 x -1
c = 28
Problem 2:
1/2 y + 1/5 = 1/2
First, we need to isolate the term with the variable by subtracting 1/5 from both sides as follows:
1/2 y = 1/2 - 1/5 = 3/10
Then, we will get rid of the coefficient in the term with variable by dividong both sides with 1/2, this will give the following output:
y = 3/5
It takes 113 pounds of seed to completely plant a 12 -acre field. how many acres can be planted per pound of seed?
Answers
It takes about 9lbs of seed to plant 1-acre, so to find the answer divide 12/113 and you get how many acres 1lb of seed could cover.
Hope this helps :-)
The sum of the exterior angles of a convex polygon, one angle at each vertex, is equal to how many degrees?
Answers
Answer: 360°
Step-by-step explanation:
I need help finding ac, cb, and ab
Answers
CB is 3x-4
AB= 2x+1+3x-4
You roll a six sided die and toss a coin. What is the probability of rolling an odd number and then getting heads?
Answers
P(O,T)=1/4
So, let's take a look at our question.
"You roll a six sided die and toss a coin. What is the probability of rolling an odd number and then getting heads?"
First, we need to understand what we're dealing with, and how to handle it.
Let's tackle these individually, rather than doing it all at once and getting confused/stuck.
We roll a six sided die, which is numbered from 1 to 6. "What is the probability of rolling an odd number?"
Well, let's count how many odd numbers there are from 1 to 6.
1, 3, 5; We have three odd numbers on our six sided die.
Let's set that up as a fraction, [tex] \frac{3}{6} [/tex]
However, we can simplify it into simpler terms - divide both numbers by 3.
3/3 = 1
6/3 = 2
We now have our simplified fraction, [tex] \frac{1}{2} [/tex]
Now, let's focus on the other half of the problem.
"You flip a coin. What's the probability of landing on heads?"
Well, a coin only has two sides - heads and tails - which means we have 1/2 chances of landing on heads or tails generally.
Since the question asks for the probability of an odd number and landing on heads, we need to multiply our fractions.
We have these two fractions:
[tex] \frac{1}{2} [/tex] * [tex] \frac{1}{2} [/tex]
Multiply them.
[tex] \frac{1}{2} [/tex] * [tex] \frac{1}{2} [/tex] = [tex] \frac{1}{4} [/tex]
Your answer is [tex] \frac{1}{4} [/tex]
I hope this helps!