Answer:
1/2
Step-by-step explanation:
The Rational Root Theorem says that any rational root has
1. a numerator that is a factor of the constant term
2. a denominator that is a factor of the leading coefficient (that's attached to the highest-power term)
Numerator: [tex]\pm 1[/tex]
Denominator: [tex]\pm 2[/tex]
That means there are only two possible rational roots: [tex]\pm \frac{1}{2}[/tex]
Try them both by plugging them into the polynomial.
[tex]2\left(\frac{1}{2}\right)^3 + 3\left(\frac{1}{2}\right)^2 -1= \frac{1}{4}+\frac{3}{4}-1 =0[/tex]
Aha! The negative one-half value does not produce 0
write this in exponential form
a×b×a×b×a
[tex] {a}^{3}. {b}^{2} [/tex]
:D
Explanation:
We have three copies of 'a' multiplied, so that's why the exponent for 'a' is 3.
Similarly, the b^2 means we have b*b or two copies of b multiplied together.
Use the given information below to determine the value of x.
A. 121
B. 180
C. 59
D. 62
Leia, Chewy, Han Solo, and Luke have to cross a bridge. They only have one flashlight, and the bridge can only hold two people at a time. They each take a different length of time to get across the bridge. At any time, a group of two can only move as fast as the group's slowest person. The times that it takes each person to cross the bridge are:
Chewy -- ten minutes
Han Solo -- five minutes
Leia -- two minutes
Luke -- two minutes
How can the four get across the bridge the fastest?
Answer:
luke and han solo
Step-by-step explanation:
because han solo have the most mins and luke is one of thr 2 mins and that added is 7min
What is the surface area of the net? *inches squared*
9514 1404 393
Answer:
75 in^2
Step-by-step explanation:
The central vertical rectangle (including "ears") has dimensions
3 in wide by (9+2+2) = 13 in tall
Its area is
A = LW = (3 in)(13 in) = 39 in^2
__
The two rectangles either side of that have dimensions 2 in by 9 in. The area of each of them is
A = LW = (2 in)(9 in) = 18 in^2
__
The total net area is the sum of the areas of the parts:
left rectangle + central rectangle + right rectangle
= 18 in^2 + 39 in^2 + 18 in^2 = 75 in^2 . . . . surface area of the net
HELP ME IN MATH PLEASE IM FAILING :( NO FAKE ANSWERS PLS :)
The area of a parallelogram has the following formula: A=bh
Plug-in the given numbers.
Base=14cm
Height=13cm
A=bh
A=14 x 13
A=182
Therefore, the area of the figure is 182cm2
Answer: 182 square centimeters
Step-by-step explanation:
The formula for finding the area of a parrallelogram is A = bh. If the top measurement is 14 cm, then the bottom measurement is also 14 cm. The height is 13 cm.
A = (14) (13)
A = 182 cm^2
Answer? ................,,,,,,
Step-by-step explanation:
what is the formula for the whole surface area of a sphere ?
[tex]a = 4 \times \pi \times {r}^{2} [/tex]
that would give us the whole surface area all 360 degrees or 2×pi arc length all around the sphere.
but we don't need all 360 degrees. we only need the Theta'th (that is the specified angle) part.
in radians the arc length of that angle segment on the "equator" of the sphere
s = r×Theta
and the whole equator circumference is
c = 2×pi×r
so, the Theta'th part is then
r×Theta / 2×pi×r = Theta / 2×pi
we only need that part of the whole sphere surface area, so the formula would look like
[tex]lune = theta \times 4 \times \pi \times {r}^{2} \div (2 \times \pi)[/tex]
=>
[tex]lune = theta \times 2 \times {r}^{2} [/tex]
Jena has a small jewelry box in the shape of a cube with side lengths of two inches. How much greater is the volume of her large jewelry box with the dimensions 7 inches, 5 inches, and 4 inches?
Plz help no links please
Answer:
216 cubic inches
Jena's large jewelry box is 132 inches³ bigger than her small cube jewelry box.
What is a cube?
A cube is a three dimensional figure. All of it's sides are equal in length and all the planes of it are perfect square.
Given, length of the each side of Jena's small jewelry box = 2 inches.
Therefore, the volume of the small jewelry box is = 2³ inches³ = 8 inches³.
Again, length of the each side of Jena's small jewelry box are 7 inches, 5 inches, and 4 inches.
Therefore, the volume of the small jewelry box is = (7 × 5 × 4) inches³ = 140 inches³.
Hence, the difference = (140 - 8) inches³ = 132 inches³.
Learn more about cube here: https://brainly.com/question/21270685
#Tag#SPJ2
I will give you Brainiest if you are right.
Answer:
Students 1 & 4
Step-by-step explanation:
An expression has NO equal sign, EQUATIONS have equals.
2 & 3 have equals which makes then equations.
~R3V0
Listed below are the summary statistics from samples of strontium-90 in baby teeth obtained from twelve Pennsylvania residents and another twelve from New York residents born after 1979. PA NY Mean 147.583 136.417 Stdev 10.6383 5.21289 If we wished to test the claim that the mean amount of strontium-90 from Pennsylvania residents is greater than the mean of New York residents, and can assume that the variances are equal, what is the Test Statistic for this test
Answer:
9.72
Step-by-step explanation:
s1 = 10.6383 ; s2 = 5.21289
x1 = 147.583 ; x2 = 136.417
n1 = 12 ; n2 = 12
df1 = n1 - 1 = 12 - 1 = 11
df2 = n2 - 1 = 12 - 1 = 11
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926
Test statistic, T* :
(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))
11.166 / √(7.926 * (1/6)
11.166 / √1.321
11.166 / 1.1493476
T* = 9.7150766
Test statistic = 9.72
Help pls show work if needed
Answer: The mode is 12
Step-by-step explanation: It is the most common number in the data set.
What is the value of 6 r + 6 − 4 s , when r = 7 and s = 3 ?
Answer:
36
Step-by-step explanation:
6r + 6 - 4s
r = 7
s = 3
6(7) + 6 - 4(3)
42 + 6 - 12
(remember PEMDAS, adding/subtracting left to right)
48 - 12 = 36
therefore the answer is 36
hope this helps ! :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{6r + 6 - 4s}[/tex]
[tex]\large\text{If r = 7 & s = 3, then SUBSTITUTE it into the EQUATION}[/tex]
[tex]\large\textsf{6(\underline{7}) + 6 - 4(\underline{3})}[/tex]
[tex]\large\textsf{6(7) = \bf 42}[/tex]
[tex]\large\textsf{\bf 42}\large\textsf{ + 6 - 4(3)}[/tex]
[tex]\large\textsf{42 + 6 = \bf 48}[/tex]
[tex]\large\text{\bf 48}\large\text{ - 4(3)}[/tex]
[tex]\large\textsf{4(3) = \bf 12}[/tex]
[tex]\large\textsf{48 - \bf 12}[/tex]
[tex]\large\textsf{= \bf 36}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \textsf{\huge \bf 36}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Use the compass and ruler to construct the bisector of the angle given below.
Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.
The next steps show you how to construct the bisector of the angle from a ruler and a compass.
Draw an arc using the vertex of the angle (O) as the center;Mark the points A and B;Draw an arc using the point (A) as the center;Draw an arc, with the same radius, using the point (B) as the center. This arc should intersect the arc that you draw in the previous step. Draw a line connecting the point C to the vertex O.Finally, you have the bisector of the angle that is represented by the green line.
Learn more about the bisector of the angle here:
https://brainly.com/question/7288045
Given: AB || DE
Which can be used to prove ABC - EDC?
a.
AA Similarity Postulate
C.
ASA Similarity Theorem
b.
SSS Similarity Theorem
d.
SAS Similarity Theorem
Answer:
a. AA Similarity Postulate
Step-by-step explanation:
the AA Similarity Postulate says that if two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar.
AB and ED are parallel, so
∠BCA and ∠ECD are congruent because they're vertical angles∠BAC and ∠CED are congruent because they're alternate interior anglesharrison bought a 10 foot ramp to load his dirt bike into the back of his truck. the ramp hooks to the 3 foot high tailgate. how far away from the tailgate doe the ramp sit in the ground?
Answer:
9.54 feet
Step-by-step explanation:
Using Pythagoras rule :
Length of ramp = 10 feets = hypotenus
Hypotenus² = opposite² - adjacent²
d² = 10² - 3²
d² = 100 - 9
d² = 91
d = √91
d = 9.5393920
d = 9.54 feets
The complex plane is also known as what?
Lois is painting a mural on the side of a building. The side of the building is 14 feet by 9
feet. Lois got a deal on paint cans that each cover 5 square feet. How many of these
paint cans will she need to cover the side of the building?
Answer:
I believe it is 29 cans of paint right?
Hope this helps
which of the following is equivalent (x+1)^2
Answer:
B. x^2 + 1
Step-by-step explanation:
Because squaring the value of 1 does not change its value, the equation would function the same way the original equation if x was the only value squared.
The function f(x) is graphed below. Use the graph of the function to find, f(-6). A. -3 B. -1 C. 1 D. 3
Answer:
-3
Step-by-step explanation:
Answer:
The function f(x) is graphed below.
Use the graph of the function to find, f(-6).
A. -3
B. -1
C. 1
D. 3
Step-by-step explanation:
The function f(x) is graphed below.
Use the graph of the function to find, f(-6).
A. -3
B. -1
C. 1
D. 3
answer -3
ANSWER FAST
.Give the value of a.
a - 15 = 21
Answer:
a=36
Step-by-step explanation:
a - 15 = 21
+15 +15
a = 36
Use the figure to find the measures of the numbered angles.
EXPLAIN YOUR REASONING
Answer:
1 = 61°
2 = 119°
3 = 61°
4 = 119°
5 = 119°
6 = 61°
7 = 119°
Step-by-step explanation:
∠1 and 61° are corresponding angles, therefore, they would be the same angle; ∠1 = 61°.
∠2 and 61° are supplementary angles, therefore, ∠2 would be 119°.
∠3 and ∠1 are vertical angles, therefore, ∠3 = 61°.
∠4 and ∠3 are supplementary angles, therefore, ∠4 would be 119°.
∠5 and 61° are supplementary angles, therefore, ∠5 would be 119°.
∠6 and ∠1 are alternate exterior angles, therefore, ∠6 would be 61°.
∠7 and ∠6 are supplementary angles, therefore, ∠7 would be 119°.
HELP PLEASE like I really need help
A student wants to report on the number of movies her friends watch each week. The collected data are below: 2 14 1 2 0 1 0 2 Which measure of center is most appropriate for this situation and what is its value? (4 points) a Median, 1.5 b Median; 3 c Mean, 1.5 d Mean; 3
Answer:
The best measure of center for a set of data is the median value.
To find the median list the values from
Smallest to largest:
0, 0, 1, 1, 2,2, 2, 14
Since there is an even number of values, find the middle two numbers, add them together and divide by 2:
1+2 = 3
3/2 = 1.5
The answer is median 1.5
Step-by-step explanation:
plz brain list
Need help with this problem!!
Answer:
Area:
4 x 4 = 16
Finding area of semi circle:
4 is your diameter so half of it is your radius which is 2 since half of 4 is 2!
2^2<---your radius being squared = 4
4(radius squared) x 3.14(pi) = 12.56
12.56 divided by 2 since its a semi circle is = 6.28
6.28 + 16 = 22.28 is your area
Perimeter is:
4 + 4 + 4 (all sides of a square are equal therefore one or two given lengths will be all the sides) = 12
Circumference:
Radius is 2,
2(you just always have to multiply this number when finding circumference) x 3.14(pi) x 2(radius), 2 x 3.14 x 2 = 12.56
12.56 divided by 2 = 6.28
6.28 + 12 = 18.28 is your perimeter.
Just a refresh:
Circumference Formula:
2(always use this number when finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius
Area of a Circle Formula:
Radius squared x pi(3.14 or 22/7 whatever they tell you to use for pi)
Another thing you should remember:
Whenever it gives you 1/4 of a circle or 1/3 or a semi circle or any fraction, REMEMBER TO DIVIDE BY THAT DENOMINATOR TO WHAT YOU GET FROM EITHER CIRCUMFERENCE OR AREA OF A CIRCLE!
Find the area of the circle when the circumference is 26 in
Answer:
"None of the answers are correct."
Step-by-step explanation:
The formula for Area given the circumference is A = [tex]\frac{C^{2} }{4\pi }[/tex]
[tex]\frac{26^{2} }{4\pi } = 53.79437[/tex]
So none of the above are correct
Bethany is making a rectangular fenced- in area for her rabbit in her yard. The area measures 4 3/4 feet wide by 2 yards long.
what's the total length of fencing that Bethany will need in feet?
Answer:
The total length of fencing that Bethany will need is 21.5 feet.
Step-by-step explanation:
Since Bethany is making a rectangular fenced- in area for her rabbit in her yard, and the area measures 4 3/4 feet wide by 2 yards long, to determine what's the total length of fencing that Bethany will need in feet the following calculation must be performed:
1 yard = 3 feet
2 yards = 6 feet
3/4 = 0.75
4.75 x 2 + 6 x 2 = X
9.5 + 12 = X
21.5 = X
Therefore, the total length of fencing that Bethany will need is 21.5 feet.
What is (5b + 3x)(5d-3b)
11. Explain how to evaluate the expression 9 +(45 x 2) = 10.
The Answer Is 18
Order Of Operation laws says that you must do the parentheses first, 45x2.
45x2=90
The next thing you must do is divide 90 by 10 since division is before addition.
90/10=9
Now combine like terms.
9+9=18
what is this???????????????????????
Answer:
Without knowing anything else about the problem, the shaded part looks like the cross-sectional area.
. A store increases profits by marking up the price of soda by 15%. Which expression represents the new price of soda if the original cost is s dollars? A) 0.15 B В 1.15$ © 0.855 Ds + 15
Answer: A
Step-by-step explanation:
If Sn=2^n-1
what's the expression of
Sn-1?
Answer:
[tex]S(n-1)=2^{n-2}[/tex]
Step-by-step explanation:
Given that,
The value of [tex]S_n=2^{n-1}[/tex]
We need to find an expression for [tex]S(n-1)[/tex]. To find it, put the value of n as (n-1). So,
[tex]S_{n-1}=2^{n-1-1}\\\\=2^{n-2}[/tex]
Hence, the value of S(n-1) is equal to [tex]2^{n-2}[/tex].