Answer: The volume of the cube is 25 cubic centimeters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cube: side lenght^3
Replacing with the side length value and solving for V (volume)
V= 5^2 = 25 cm2
In conclusion, the volume of the cube is 25 cubic centimeters.
Feel free to ask for more if needed or if you did not understand something.
Answer:
125
Step-by-step explanation:
Look at Google:)❤
a square has 2x+3. if a rectangles made up of three of these squares , which expression would represent the perimeter of the rectangle ?
Answer:
The perimeter of the rectangle that contains the 3 squares is 24x + 36 units
Step-by-step explanation:
Here, we have a square with side length 2x + 3
The perimeter of this square would be calculated using the mathematical formula;
P = 4L
P = 4(2x + 3) = 8x + 12 units
Now, this particular rectangle is composed of three of these squares.
The expression which would represent the perimeter of the rectangle is equal to the sum of the perimeters of the 3 squares.
That would be 8x + 12 + 8x + 12 + 8x + 12 or simply 3(8x + 12) = 24x + 36
What is the period, phase shift, amplitude, and vertical shift of:
Y=1/2sin(theta/4-2pi/3)+2
Answer:
Period = 8π
Phase shift = 2π/3
Amplitude = 1/2
Vertical shift = 2
Step-by-step explanation:
y = A sin((2π/T)θ − B) + C
where A is the amplitude,
T is the period,
B is the phase shift,
and C is the vertical shift.
y = ½ sin(¼θ − 2π/3) + 2
So A = 1/2, T = 8π, B = 2π/3, and C = 2.
Please help!!!!!!!!!!!!!!!!!
Answer:
tan Z = 3/4
Step-by-step explanation:
[tex] \tan(Z) = \frac{21}{28} \\ \tan(Z) = \frac{3}{4} [/tex]
A basketball team wants to paint half of a free-throw circle grey. If the radius of the free-throw circle is 5.4 feet, what is the area that will be painted grey? Use 3.14 for , and round to the nearest square foot.
Answer:
The area which would be painted grey will be "47.7812 ft²".
Step-by-step explanation:
The given values are:
Radius of circle, r = 5.4 feet
Value of pi, π = 3.14
As we know,
Area of Semicircle = [tex]\frac{\pi r^2}{2}[/tex]
On putting the values in the above formula, we get
= [tex]\frac{3.14\times (5.4)^{2}}{2}[/tex]
= [tex]\frac{3.14\times 29.26}{2}[/tex]
= [tex]\frac{91.5624}{2}[/tex]
= [tex]45.7812 \ ft^2[/tex]
What is 2.95 expressed as a fraction?
33640
40118
11880
5920
Answer:
59/20
Step-by-step explanation:
good luck 8th grade k-12-ers!
Workers preparing for the city's Fourth of July celebration shoot an object straight up with an initial velocity of 210 ft/s2 from a height of 3 feet above the ground. Will the object reach a height of 670 feet 0, 1, or 2 times? Use the equation h=16t^2+vt+c where v is the initial velocity in feet per second and c is the initial height in feet of the object above the ground. Use the discriminant to explain your answer. Group of answer choices a) 2 times; The discriminant is positive, so the equation has two solutions. b) 0 times; The discriminant is negative, so the equation has no solutions. c) Cannot determine. There is no discriminant in the equation. d) 1 time; The discriminant is zero, so the equation has one solution.
Answer:
C
Step-by-step explanation:
Answer:
It is actually a
Step-by-step explanation:
What is central tendency??
Answer:
central tendency is the tendency for the values of a random variable 2 cluster round it's mean,mode amdedian
Step-by-step explanation:
it's also called center/location of the distribution
State the order and type of each transformation
of the graph of the function
f(x) = (5(x - 1)) 3 - 2 as compared to the graph
of the base function.
Answer:
Graph.
f(x)=5(x−1)3−2
Step-by-step explanation:
Please Help me now plz
Answer:
On the circle
Step-by-step explanation:
The distance between D and G is:
[tex]\sqrt{(-1-(-10))^2+(3-1)^2}=\sqrt{9^2+2^2}=\sqrt{81+5}=\sqrt{86}[/tex]
If point J is not exactly this far, then it is not on the circle.
[tex]\sqrt{(-1-(-3))^2+(12-3)^2}=\sqrt{2^2+9^2}=\sqrt{5+81}=\sqrt{86}[/tex]
Therefore, it is on the circle. Hope this helps!
What is the sum of the interior angles of the polygon shown below?
Answer:
360
Step-by-step explanation:
Formula
Sides -2 ×180
4-2=2×180=360
Rhombus A B C D is shown. The length of A B is 9 s + 29 and the length of opposite side D C is 10 s minus 16. What is the value of s and the length of side BC if ABCD is a rhombus? S = AB = units
Answer:
s=45 UnitsLength of side BC=434 UnitsStep-by-step explanation:
Given a rhombus ABCD
|AB|=|DC| (Opposite sides of a rhombus are equal)
|AB|=9s+29
|DC|=10s-16
Therefore:
9s+29=10s-16
Collect like terms
10s-9s=29+16
s=45 UnitsRecall: |AB|=9s+29
|AB|=9(45)+29=405+29=434 Units
Since all the sides of a rhombus are congruent
AB=AC=BD=CD
Therefore:
|BC|=434 Units
Therefore, the length of side BC=434 UnitsAnswer:
s=45
ab=434
Step-by-step explanation:
This is the last one!!!
Answer:
B
Step-by-step explanation:
the mean goes up more than the median
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
3, 15/2, 75/4, .....
Find the 8th Term
Answer:
Step-by-step explanation:
First term is 3
common difference = 15/2 divided by 3 = 5/2
8th term = a * r^7
3 * (5/2)^7 = 1,831.0546875
To the nearest thousandth 1,831.055
Calculate the reciprocal of - 0.07, correct to 1 decimal Place
Answer:
The reciprocal is 1/0.75. Using a calculator, the decimal form can be found by performing the operation: 1 divided by 0.75 ...
Answer:
The answer would have four decimal places and this is because when multiplying figures with decimals, the final result (the product) usually has the combination of decimal places of all values multiplied. Since 3.93 has TWO decimal places and 0.07 has TWO decimal places as well, the product of both numbers would have a combined total of FOUR decimal places.
So the correct answer is not 4, but rather the answer is 0.2751 (with FOUR decimal places)
Step-by-step explanation:
trust.
PLEASE HELP!
On a standardized exam, the scores are normally distributed with a mean of 155 and a standard deviation of 20. Find the z-score of a person who scored 145 on the exam.
Answer:
-0.5
Step-by-step explanation:
z-score = (x- mean)/SD
(145-155)/20 = -10/20 = -0.5
Answer:
Step-by-step explanation:
z=\frac{x-\mu}{\sigma}
z=
σ
x−μ
z-score formula
z=\frac{155-190}{20}
z=
20
155−190
Plug in values
z=\frac{-35}{20}
z=
20
−35
Subtract
z=-1.75
z=−1.75
Divide
\text{They scored 1.75 standard deviations below the mean.}
They scored 1.75 standard deviations below the mean.
At a particular supermarket, 80 percent of customers have the supermarket club card. Determine the probability that, in a random sample of 10 customers: a. Exactly 4 customers have the supermarket club card. B. At most 2 customers have the supermarket club card. C. At least 7 customers have the supermarket club card.
Answer:
a) 0.55% probability that exactly 4 customers have the supermarket club card.
b) 0.01% probability that at most 2 customers have the supermarket club card.
c) 87.91% probability that at least 7 customers have the supermarket club card.
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they have the supermarket club card, or they do not. The probability of a customer having the supermarket club card is independent of other customers. So we use the binoial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
80 percent of customers have the supermarket club card.
This means that [tex]p = 0.8[/tex]
10 customers.
This means that [tex]n = 10[/tex]
a. Exactly 4 customers have the supermarket club card.
This is P(X = 4).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{10,8}.(0.8)^{4}.(0.2)^{6} = 0.0055[/tex]
0.55% probability that exactly 4 customers have the supermarket club card.
B. At most 2 customers have the supermarket club card.
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = 0) = C_{10,0}.(0.8)^{0}.(0.2)^{10} \cong 0[/tex]
[tex]P(X = 1) = C_{10,1}.(0.8)^{1}.(0.2)^{9} \cong 0[/tex]
[tex]P(X = 2) = C_{10,2}.(0.8)^{2}.(0.2)^{8} = 0.0001[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0 + 0.0001 = 0.0001[/tex]
0.01% probability that at most 2 customers have the supermarket club card.
C. At least 7 customers have the supermarket club card.
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
[tex]P(X = 7) = C_{10,7}.(0.8)^{7}.(0.2)^{3} = 0.2013[/tex]
[tex]P(X = 8) = C_{10,8}.(0.8)^{8}.(0.2)^{2} = 0.3020[/tex]
[tex]P(X = 9) = C_{10,9}.(0.8)^{9}.(0.2)^{1} = 0.2684[/tex]
[tex]P(X = 10) = C_{10,10}.(0.8)^{10}.(0.2)^{0} = 0.1074[/tex]
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.2013 + 0.3020 + 0.2684 + 0.1074 = 0.8791[/tex]
87.91% probability that at least 7 customers have the supermarket club card.
consider the graph of the function y=1/4x2-3x-40. what are the roots of the function?
Answer: the roots are x = 20 and x = -8
Step-by-step explanation:
We have the function
y = (1/4)x^2 - 3x - 40
We want to find the roots, that are the points in where y(x) = 0
For a quadratic equation of the form:
y = a*x^2 + bx + c the roots are:
[tex]x = \frac{-b +-\sqrt{b^2 -4*a*c} }{2*a}[/tex]
in this case we have:
[tex]x = \frac{3 +-\sqrt{3^2 +4*(1/4)*40} }{2*(1/4)}= \frac{3 +-7}{(1/2)}[/tex]
So the two roots are:
x = 2*(3 + 7) = 20
x = 2*(3 - 7) = -8
What are the solutions of the equation sec(x)cot(x)= -2 on the interval [0,2pi]? Choose all correct answers.
Answer:
The solutions are 7π/6 and 11π/6Step-by-step explanation:
Given the equation sec(x)cot(x)= -2 on the interval [0,2π]. In order to get the value of x, the following steps must be followed.
sec(x)cot(x)= -2
From trigonometry identity, sec(x)= 1/cos(x) and cot(x)= 1/tan(x) = cos(x)/sin(x)
subsituting this expressions in the given equation we have;
1/cos(x)*cos(x)/sin(x) = -2
1/sin(x) = -2
sin(x) = -1/2
[tex]x = sin^{-1}-1/2\\ x = -30^{0}[/tex]
Since sin is negative in the 3rd and 4th quadrant,
In the 3rd quadrant, x = 180+30 = 210°
In the 4th quadrant, x = 360-30 = 330°
Converting the values to radian;
since 180° = πrad
210° = 210π/180 rad
210° = 7π/6 rad
Similarly, 330° = 330π/180 rad
330° = 11π/6 rad
The solutions are 7π/6 and 11π/6
Melissa needs to wrap a gift box that is shaped like a rectangular prism. The length is 6 inches, the width is 6 inches and the height is 8 inches. How much wrapping paper does she need to cover the whole box
Answer:
A=264
Step-by-step explanation:
x: 3 5 6 10
y: 45 84 116 372
What is the result if the best fit exponential model for the following data set was used to predict the output when x=15?
A) 593
B) 783
C) 1284
D) 1693
UV and RV are secant segments that intersect at point V.
Circle C is shown. Secants U V and R V intersect at point V outside of the circle. Secant U V intersects the circle at point T, and secant R V intersects the circle at point S. The length of U V is 12, the length of T V is a, the length of R S is 5, and the length of S V is 4.
What is the length of TV?
1 unit
1Two-thirds units
2One-half units
3 units
Answer:
(D)3 units
Step-by-step explanation:
To find the value of a, we use the Theorem of Intersecting Secants.
Applying this to the diagram, we have:
UV X TV = RV X SV
12 X a=(5+4)*4
12a=9*4
12a=36
Divide both sides by 12
a=3 units.
The correct option is D.
By applying the Theorem of Intersecting Secants, the length of TV (a) is equal to: D. 3 units.
What is the Theorem of Intersecting Secants?The Theorem of Intersecting Secants states that the product of a secant and its external secant is equal to the product of the other secant and its external secant, when two (2) secants are drawn to a circle from an exterior (outside) point:
How to determine the length of TV?In order to determine the length of TV (a), we would apply the Theorem of Intersecting Secants as follows:
UV × TV = RV × SV
12 × TV = (5 + 4) × 4
12TV = 9 × 4
12TV = 36
TV = 36/12
TV = 3 units.
Read more on Intersecting Secants here: https://brainly.com/question/1626547
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At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads
and two sandwiches The Donovan family pays $14 for a salad and three fruit bowls What is the price of a fruit bowl at the
cafe?
Answer: The price of a fruit bowl at the cafe is $3
Step-by-step explanation:
$3 in the price of a Fruit bowl at the cafe.
What is the price of a fruit bowl at the cafe?
According to the given In the question,
Let,
price of a Salad = Sl
price of a fruit bowl = Fb
Fb price of a sandwich = Sd
Sl + Fb+sd=$12 ..1
2 SI + 2 Sd = $14 ..2
Sl + 3Pb Fb = $14 ..3
from equation 2
Sl = 7 - Sd
from equation 3
7 - Sd + 3Fb = 14
Sd = 3Fb - 7
from equation 1
14- 3Fb+Fb+ 2(3Fb-7)=12
14- 2 Pb +6Fb-14=12
4Fb = 12
Fb = 3
Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
Learn more about Problem-solving here: brainly.com/question/23945932
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Noah pays $25.20 for non-perishable food items to give to the local homeless shelter,
The price includes a 5% sales tax.
What is the price before tax, 6, of
the food items?
b=$
w
Answer:
The original price of the food items was 24.
Simplify the radicals in the given expression:
8^3√a^4b^3c^2-14ab^3√ac^2
8ab√ac^2-14ab^3ac^2
8a^2ba^3√b-14abc^3a
8ab^3ac^2-14ab^3√ac^2
8a^2bc√b-14abc√a
i've gotten the answer it is "8ab^3ac^2-14ab^3√ac^2"
Answer: it’s option c
Step-by-step explanation:
Simplified form of radical 8∛(a⁴b³c²)-14b∛(ac^(2)) is -6ab∛ac².
What is radical?
The symbol '√' that expresses a root of a number is known as radical and is read as x radical n or nth root of x. The horizontal line covering the number is called the vinculum and the number under it is called the radicand. The number n written before the radical is called the index or degree.
Given radical
8∛(a⁴b³c²)-14b∛(ac^(2))
Rewriting a⁴b³c² as (ab)³ ac²
8∛((ab)³ac²)-14b∛(ac²)
8ab∛ac² - 14b∛ac²
-6ab∛ac².
Hence, -6ab∛ac² is the simplified form of 8∛(a⁴b³c²)-14b∛(ac^(2)).
Learn more about radical here:
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The local weather forecaster says she can predict whether it will rain with 80% accuracy which is equivalent to a 0.8 chance of being correct. If she forecasts rain 160 times, how many of these times would you expect she is wrong?
Answer:
You should expect her to be wrong 32 times.
Step-by-step explanation:
For each forecast that she makes, there are only two possible outcomes. Either she is correct, or she is not. The probability of she being correct on a forecast is independent of other forecasts. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
0.8 chance of being correct.
So 1 - 0.8 = 0.2 change of being wrong, which means that [tex]p = 0.2[/tex]
160 forecasts:
This means that [tex]n = 160[/tex]
How many of these times would you expect she is wrong?
[tex]E(X) = np = 160*0.2 = 32[/tex]
You should expect her to be wrong 32 times.
i need help asap! anyone know this?
Answer:
1 = 0
12x12 = 4
100=1
I think the last one is also 1
Step-by-step explanation:
The volume of a cube depends on the length of its sides. This can be written
in function notation as (s). What is the best interpretation of (4) = 64?
help me fill this out thanks
Answer:
10
Step-by-step explanation:
We cannot use the Pythagorean Theorem here because we only have one side length. However, we can use the fact that [tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
I decided to make the corner with the 60° as ∠A, the corner with the 30° as ∠B, and the corner with the right angle as ∠C. While then making side a as the unmarked side, side b as the side with 5, and the hypotenuse p as side c.
Since we do not need to solve for a in this equation to solve for p, we can simply use the sides and numbers we are given.
Manipulating two of our equations, preferably the equations with the variables b and c, we can get [tex]\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex] and solving for c, which is p in this case, will give us [tex]c=\frac{bsin(C)}{sin(B)}[/tex]
Plugging in the numbers we have gives us [tex]c=\frac{5sin(90)}{sin(30)}[/tex] = 10 mi
A histogram titled Number of texts has time on the x-axis and texts on the y-axis. From 6 a m to 7:59 a m there were 15 texts, 8 to 9:59 a m: 5, 10 a m to 11:59 p m: 0, 12 p m to 1:59 p m: 0, 2 p m to 3:59 p m: 0, 4 to 5:59 p m: 29, 6 to 7:59 p m: 19, 8 to 8:59 p m, 14, 10 p m to 11:59 a m: 5 The histogram shows the number of text messages sent by two high school juniors on one Monday. Which statement most reasonably explains the hours when 0 texts were sent? The students were asleep and did not have phones turned on. The students only had 100 text messages available. The students were in school and were not allowed to text. Texting is done in clusters.
Answer:
Answer: I think c,e
Answer: The students were in school and were not allowed to text
The time-span from 10 AM to 3:59 PM is when 0 messages were sent in total. This is likely the duration of either the entire school day or much of it. So it's likely the school does not allow texting or does not allow phones to be in use.
In the given figure, arcWY = 76° and arcXZ = 112°. What is the difference of the measures of angle WPY and angle XPY?
A. 8°
B. 9°
C. 16°
D. 18°
Answer:
C
Step-by-step explanation:
Answer:
A. 8
Step-by-step explanation:
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