25. Willa purchases a vase for her kitchen
that is shaped like a cube and will hold 343
cubic inches of water. What are the
dimensions (length, width and height) of the
vase?
Answer:
7,7, and 7
Step-by-step explanation:
If she vase is cubical we know that all 3 dimensions are the same. This means that x^3 = 343. So we know the answer is the cube root of 343, which is 7
The dimensions of the cubic vase are 7 by 7 by 7.
What is a cube?A three-dimensional object with six congruent square faces is called a cube. The cube's six square faces all have the same dimensions.
Given that the volume of the cubic vessel is 343 cubic inches.
The formula for the volume of a cube of side length a is:
V =a³
Substitute V= 343:
343 = a³
Or, a = ∛343
a = 7
Hence, the dimensions of the cubic vase are 7 by 7 by 7.
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Please help please please please
Divide 2x2 7x â€"" 3 by 2x 5. which expression represents the quotient and remainder? x 1 x 1 â€"" x 1 x 1 â€""
The required solution of given polynomial equation is \(x+1-\frac{8}{2x+5}\) .
Given polynomial equation is \(2x^{2}+7x-3\) which is to be divided by \(2x+5\)
In case of division of polynomials we Long division method to calculate final value of the given equation.
For solving given equation let us start from;
\(\frac{2x^{2} +7x-3}{2x+5}\) = \(x+\frac{2x-3}{2x+5}\)
\(x+\frac{2x-3}{2x+5}\) = \(x+1 +\frac{-8}{2x+5}\)
\(x+1-\frac{8}{2x+5}\)
The final solution for given equation is \(x+1-\frac{8}{2x+5}\)
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what is the solution for x? x/5=2
☁️ Answer ☁️
10, x = 10
x/5=2
simplify the equation to the form
x/5=2
Simplifying:
+ 0.2x=2
move all terms containing x to the left and all other terms to the right.
+ 0.2x=+2
simplify left and right side of the equation.
+ 0.2x=+2
divide both sides of the equation by 0.2 to get x.
x=10
Hope it helps.
Have a nice day noona/hyung  ̄▽ ̄
Answer:
x=10
your welcome!♡
Two thirds of a number X subtracted from four times the sum of y and 5
Answer: 4y - (2/3)x + 20
Step-by-step explanation:
Write out problem: 4(y+5) - (2/3)x
Expand: 4y + 20 - (2/3)x
Reorder: 4y - (2/3)x + 20
WY is the perpendicular
bisector of XZ.
X
W
2y +7
5y-8
X = = [ ?
2x + 3
IY
3x - 5
Answer:
x = 8
Step-by-step explanation:
given WY is the perpendicular bisector of XZ , then
ZY = XY , that is
3x - 5 = 2x + 3 ( subtract 2x from both sides )
x - 5 = 3 ( add 5 to both sides )
x = 8
A sample survey interviews SRSs of 500 female college students and 550 male college students. Each student is asked whether he or she worked for pay last summer. In all, 410 of the women and 484 of the men say "yes".Take Pm and Pf to be the proportions of all college males and females who worked last summer. We conjectured before seeing the data that men are more likely to work. The hypotheses to be test are:a. H₀: Pm - Pf = 0 vs. Hₐ: Pm - Pf ≠ 0b. H₀: Pm - Pf = 0 vs. Hₐ: Pm - Pf > 0c. H₀: Pm - Pf = 0 vs. Hₐ: Pm - Pf < 0d. H₀: Pm - Pf > 0 vs. Hₐ: Pm - Pf = 0e. H₀: Pm - Pf ≠ 0 vs. Hₐ: Pm - Pf = 0
The correct hypotheses to be tested based on the given information are H₀: Pm - Pf = 0 vs. Hₐ: Pm - Pf < 0 (option c).
These hypotheses reflect the conjecture that men are more likely to work than women. In hypothesis testing, the null hypothesis (H₀) typically represents the assumption of no difference or no effect, while the alternative hypothesis (Hₐ) represents the claim or hypothesis we want to support.
In this case, the null hypothesis states that there is no difference between the proportions of male and female college students who worked last summer (Pm - Pf = 0). The alternative hypothesis states that the proportion of male college students who worked last summer is greater than the proportion of female college students who worked (Pm - Pf < 0).
By testing these hypotheses using appropriate statistical methods, we can determine if the observed data supports the claim that men are more likely to work than women or if there is no significant difference between the two proportions. The correct option is c.
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A motorcycle is depreciating at 15% per year, every year. A student's $15,200 motorcycle
depreciating at this rate can be modeled by the equation V(t) = 15,200(0.85). What is an equivalent
equation for this vehicle as a monthly depreciation and, using this equation, what is the motorcycle
worth (rounded to the nearest hundred dollar) 7 years after purchase?
Ov(t) = 15,200(0.8700)12, $13,800
Ov(t) = 15,200(0.9865), $4,900
Ov(t) = 15,200(1.15)-# $5,700
Ov(t) = 15,200(0.9865)12t, $4,900
The monthly depreciation is \(V(t) = 15200(0.9865)^t\), and the value after 7 years is (d) $4900
The yearly depreciation is given as:
\(V(t) = 15200(0.85)^t\)
There are 12 months in a year, so the monthly depreciation would be
\(V(t) = 15200(0.85)^{\frac{t}{12}}\)
Where t represents the number of months
Rewrite the expression as:
\(V(t) = 15200(0.85^\frac{1}{12})^t\)
Evaluate the exponent of 1/12
\(V(t) = 15200(0.9865)^t\)
After 7 years, we have:
\(t =7 \times 12\)
\(t =84\)
So, the value of the motorcycle after 7 years is
\(V(84) = 15200(0.9865)^{84}\)
\(V(84) = 4852.88\)
Approximate to the nearest hundred dollar
\(V(84) = 4900\)
Hence, the value after 7 years is (d) $4900
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can you please help me
Answer:
Step-by-step explanation:
1. HI // KL , J is midpoint of HL 1. Given
2. ∠IHJ ≅ ∠JLK 2. Alternate interior angles are congruent
3. ∠IJH ≅ ∠KJL 3. Vertically opposite angles
4. HJ ≅ JL 4. Given
5. ΔHIJ ≅ ΔLKJ 5. A S A congruent
(Angle Side Angle)
Two more than eleven times a number is equal to 24. What is the number?
Answer:
2
Step-by-step explanation:
24/ 11 = 2 2/11
so, we have 2 and 2/11
11x2 = 22 + 2 = 24
Help pleaseee
The figure
Answer:
the 4th one pentagonal prism
Answer:
pentagonal prism
Step-by-step explanation:
it doesn't resemble a pyramid, so it could only be a prism, and it isn't a rectangular one, cause it has two pentagons, on top and bottom
Solve. x/4 + ½ = 1/8
x = ____ (Simplify your answer.)
Answer:
\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)
\( \frac{x}{4} = - \frac{3}{8} \)
\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.
x/4 + 1/2 = 1/8
Take the 1/2 term on the other side,
x/4=1/8 - 1/2
Taking the LCM on the Right side,
x/4 = (1-4) / 8
x/4 = -3/8
Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,
x = ( -3/8) * 4
x = -3/2
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
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find the error & explain why it is wrong: jon had to solve the equation below. what did he do wrong?
Answer:
Step B is incorrect because the factors of \(x^2 + 4x + 3\) should be:
\((x + 3)(x + 1)\)
Find the quotient of these complex numbers.(6 - i) ÷ (4 + 3i) =
To solve the exercise you can apply the complex arithmetic rule, that is
\(\frac{a+bi}{c+di}=\frac{(c-di)(a+bi)}{(c-di)(c+di)}=\frac{(ac+bd)+(bc-ad)i}{c^2+d^2}\)So, in this case, you have
\(\begin{gathered} \frac{6-i}{4+3i} \\ a=6 \\ b=-1 \\ c=4 \\ d=3 \end{gathered}\)\(\frac{6-i}{4+3i}=\frac{(6\cdot4+(-1)\cdot3)+(-1\cdot4-6\cdot3)i}{4^2+3^2}\)Simplifying
\(\begin{gathered} \frac{6-i}{4+3i}=\frac{(24-3)+(-4-18)i}{16+9} \\ \frac{6-i}{4+3i}=\frac{21-22i}{16+9} \\ \frac{6-i}{4+3i}=\frac{21-22i}{25} \end{gathered}\)Finally, rewrite in binomic form, that is, z = a+bi
\(\frac{21-22i}{25}=\frac{21}{25}-\frac{22i}{25}\)Therefore, the correct answer is B.
\(\frac{21}{25}-\frac{22i}{25}\)the rectangular prism is onlu partially filled with 1 unit cubes. how many unit cubes will it take to completly fill the figure?
Multiplying these values, we get 20x3=60. Therefore, it will take 60 unit cubes to completely fill the rectangular prism.
To find the number of unit cubes required to completely fill the rectangular prism, we need to know the total number of unit cubes that can fit inside the prism. We can determine this by counting the number of unit cubes that can fit in one layer of the prism, and then multiplying it by the number of layers in the prism.
Let's assume that the dimensions of the rectangular prism are length (L), width (W) and height (H), and that it is partially filled with unit cubes. We can count the number of unit cubes in one layer of the prism by multiplying L by W. This gives us the area of the base of the prism, which is the number of unit cubes that can fit in one layer.
Next, we need to count the number of layers in the prism. This is simply the height (H) of the prism. Once we have both these values, we can multiply them to find the total number of unit cubes required to fill the prism.
For example, if the dimensions of the rectangular prism are L=4, W=5 and H=3, and it is partially filled with unit cubes, we can count the number of unit cubes in one layer as 4x5=20. The number of layers in the prism is 3. Multiplying these values, we get 20x3=60. Therefore, it will take 60 unit cubes to completely fill the rectangular prism.
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A female grizzly bear weighs 500 pounds after hibernating for 6 months she weighs only 350 pounds what is the mean monthly change in weight
Answer:
lose 300 lbs in 6 months
Step-by-step explanation:
If angle 1 measures 146°, what is the sum of angles 2 and 4?
Answer:
68
Step-by-step explanation:
1 and 2 are supplementary, making the sum of the measures = 180. 180-146 = 34. 2 is a vertical angle to 4. 4=34. 34+34=68
Answer:
68
Step-by-step explanation:
Angle 1 is 146
Angle 2 is 180-146 (lines are 180 degrees)
180-146 = 34
Angle 2 and Angle 4 are congruent (equal) because they are vertical angles.
34 + 34 = 68
on any given day, the probability that marco eats sushi for dinner is 20%. the probability that marco eats pizza for dinner is 20%. marco never eats both sushi with pizza. part a: can we say that these two events (eating pizza and eating sushi) are independent? fill in the blanks.
We cannot say that the two events are independent since the probability of eating pizza and sushi together is not known. If the probability of eating both together is 0, then the events are mutually exclusive, and if the probability is greater than 0, then the events are dependent.
We cannot say that the events of Marco eating sushi and pizza are independent. Two events are independent if the occurrence of one does not affect the probability of the other. However, in this case, if Marco eats sushi for dinner, it reduces the probability that he will eat pizza for dinner since he never eats both together.
Similarly, if Marco eats pizza for dinner, it reduces the probability that he will eat sushi for dinner. Therefore, the events are not independent, and the occurrence of one event affects the probability of the other. In other words, the events are dependent.
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Sketch the graph of a relation that’s is a function
Answer:
See attached
Step-by-step explanation:
Refer to attachment
One relation is a linear function
Second one is a graph of non-functional relation
Answer:
below
Step-by-step explanation:
For the first graph, we can use a linear function as it means "straight" lines so when we use the vertical lines test, it passes it (shown below).
We can use a U shaped line so it when we use the vertical line test, it passes through two points to resemble its not a function (shown below).
Best of Luck!
a student takes an exam containing 11 true or false questions. if a student randomly guesses on the entire exam, what is the standard deviation of the number of incorrect answers? round your answer to two decimal places.
The first step is to find the mean number of incorrect answers. Since there are 11 questions, and each question has a 50/50 chance of being answered incorrectly, we can expect the student to get 5.5 questions wrong on average.
Next, we need to calculate the variance. To do this, we can use the formula:
Variance = p(1-p)n
Where p is the probability of getting a question wrong (0.5), and n is the number of questions (11).
Variance = 0.5(1-0.5)11 = 1.375
Finally, we can find the standard deviation by taking the square root of the variance:
Standard deviation = sqrt(1.375) = 1.17 (rounded to two decimal places)
Therefore, the standard deviation of the number of incorrect answers on the exam is 1.17.
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The circumference of the hub cap of a tire is 83.96 centimeters. Find the area of this hub cap. Use 3.14 for . Use pencil and paper. If the circumference of the hub cap were smaller, explain how this would change the area of the hub cap.
Answer:
Area = \(561.2485\) square centimeter
If the circumference of the hub cap would have been smaller, then its radius would have been smaller and subsequently its area would also have been less.
Step-by-step explanation:
As we know the circumference of a circle is \(2\pi r\)
The radius of the hub cap needs to be devised to determine the area
\(83.96\) \(= 2* 3.14*r\)
\(r = \frac{83.96}{2*3.14}\)
\(r = 13.37\) centimeters
Area of the hub cap = \(\pi r^{2}\)
Substituting the devised value of r in the above equation, we get -
\(3.14 * 13.37^2\\\)
\(561.2485\) square centimeter
If the circumference of the hub cap would have been smaller, then its radius would have been smaller and subsequently its area would also have been less.
A direct variation includes the points (6, 18) and (n, -3). Find n.
Since we have a direct variation, we can use the following equation:
\(\frac{y}{x}=k\)where k is the constant of variation.
If we use the point (6,18), then, we have:
\(\begin{gathered} (x,y)=(6,18) \\ \Rightarrow\frac{18}{6}=k \\ \Rightarrow k=3 \end{gathered}\)now that we have that the constant of variation is k = 3, we can use this information to find n:
\(\begin{gathered} (x,y)=(n,-3) \\ k=3 \\ \Rightarrow-\frac{3}{n}=3 \\ \Rightarrow-3=3\cdot n \\ \Rightarrow n=-\frac{3}{3}=-1 \\ n=-1 \end{gathered}\)therefore, n = -1
Find the radius of a circle in which the central angle, intercepts an arc of the given length s alpha = 126 deg; s = 4ft
The radius of the circle is approximately 12.183ft.
When finding the radius of a circle in which the central angle, intercepts an arc of the given length, we use the formula:
s=rα where s is the length of the arc, r is the radius of the circle and α is the angle in radians, so we need to convert the given central angle to radians.
Here is a step-by-step solution:
Given that α = 126° and s = 4ft,
we first need to convert α to radians by using the formula:
π radians = 180°or1 radian = 180°/πα = 126°= 126π/180 radians= 7π/10 radians Using the formula s = rα,
we can solve for the radius:r = s/α= 4/ (7π/10)= (40/7)π≈ 12.183ft
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4² − 7 + 55 − 74 + 3 (Ascending with respect to n):
Answer:
If its supposed to be simplify it will be -7 . If your finding the derivative it is 0.
Step-by-step explanation:
Is 3/8 equal to 6/16
Answer:
yes
Step-by-step explanation:
6/ 16 both divided by 2
Answer:
Yes
Step-by-step explanation:
3/8 and 6/16 are equivalent fractions
are the results of studies due to adding up a large number of random events?
Answer:
Step-by-step expla
The statistical technique that combines results of a large number of studies is called meta-analysis.
It means that you will take data from various sources, such as studies, combine them together, and then create this mixture of various results that you can use in your own research. If something occurs often in those studies, it means that it is good and reliable information.
PLEASE HELP ME THIS IS DUE IN TWO HOURS! :(
The length of Rectangle 1 is 3.2 x 10^5 m. The width of Rectangle 1 is 1.6 x 10^4 m. What is the area of Rectangle 1? Write the answer in Scientific Notation.
Find the area of Rectangle 2 if its length is 1.28 x 10^7 m and its width is 8 x 10^3 m. Write the answer in Scientific Notation.
How many times larger is the area of Rectangle 2 than the area of Rectangle 1? Write the answer in Scientific Notation.
How many times larger is the area of Rectangle 2 than the area of Rectangle 1? Write the answer in Standard Form: __________ times larger
Answer:
2.0 x \(10^{1}\)
Step-by-step explanation:
1. length = 3.2 x \(10^{5}\) m
width = 1.6 x \(10^{4}\) m
Area of a rectangle = length x width
= (3.2 x \(10^{5}\)) x (1.6 x \(10^{4}\))
= 5.12 x \(10^{9}\) \(m^{2}\)
2. length = 1.28 x \(10^{7}\) m
width = 8 x \(10^{3}\) m
Area of a rectangle = length x width
= (1.28 x \(10^{7}\)) x (8 x \(10^{3}\))
= 1.024 x \(10^{11}\) \(m^{2}\)
\(\frac{Area of rectangle 2}{Area of rectangle 1}\) = \(\frac{1.024*10^{11} }{5.12*10^{9} }\)
= 20
= 2.0 x \(10^{1}\)
Thus,
The area of rectangle 2 is 2.0 x \(10^{1}\) times greater than the area of rectangle 1.
Help ASAP Please.........
I think it's A
because 1/5 mile is in an hour
Answer Please
..................................................................................................................................................................................................................................................................................................................................................................................................
Answer: (x, y) = (-12, 3)
This means x = -12 and y = 3 pair up together to form the solution.
========================================================
Work Shown
1/2 = 0.5
0.5x + 6y = 12
0.5x + 6(x+15) = 12 .... plug in y = x+15
0.5x+6x+90 = 12
6.5x + 90 = 12
6.5x = 12-90
6.5x = -78
x = -78/(6.5)
x = -12
Then,
y = x+15
y = -12+15
y = 3
The solution as an ordered pair is (x, y) = (-12, 3)
That is the shorthand way to indicate x = -12 and y = 3 pair up together to form the full solution.
-----------------
Check:
Plug x = -12 and y = 3 into the first equation. Simplify both sides.
0.5x + 6y = 12
0.5*(-12) + 6*3 = 12
-6 + 18 = 12
12 = 12
We reached a true statement, which confirms the first equation is true when x = -12 and y = 3.
Repeat for the second equation.
y = x+15
-3 = -12+15
-3 = -3
This equation is true as well. Both equations are confirmed.
A visual way to confirm the answer is to graph the original equations on the same xy grid. The two lines intersect at (-12, 3). See the diagram below. I used GeoGebra to make the graph. Desmos is another option.
Alexa wants to have a bowling average of at least 210. If her scores are 230, 185, and 195, what does she need to score on her fourth game? Which inequality best represents the situation?
Step-by-step explanation:
so her minimum 4th score is calculated this way:
\( \frac{230 + 185 + 195 + x}{4} = 210 \\ 610 + x = 840 \\ x = 230\)
so in round four
her score should be x in the way that:
x≥230