The statement first, statement second, and statement sixth are true.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have:
The original prism has a length of 3 inches, a width of 2 inches, and a height of 1 inches.
The new length = 3+2 = 5 inches
The new width = 2+2 = 4 inches
The new height = 1+2 = 3 inches
The volume of the old prism = 3×2×1 = 6 cubic inches
The volume of the new prism = 5×4×3 = 60 cubic inches
Srekar, could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side is false becasue:
Volume = 3×2×(1+6) = 42 cubic inches
The volume of the new prism will be 20 times 3 = 60 because there will be 20 cubes in each layer and the height will be 3 so there will be 3 layers of 20 cubes each is true.
Thus, the statement first, statement second, and statement sixth are true.
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Solve for v in terms of w, x, y, and z.
ZW = -yxv
V=
Answer:
V= -WZ/xy
Step-by-step explanation:
-yxV=ZW
V=-ZW/yx
V=-ZW/yx
V=-WZ/xy
b) 7 of these cuboids of side 3 cm are put together to make this shape. Find the surface area of this shape. (3) Total marks: 5
Answer: 504 cm^2
The surface area of the shape is:
3 3 * 3=9
9 * 7=63
63+9=72 * 7
=504cm^2
10) A rhombus has a
diagonal 8.6 mm long
and an area of 81.7 mm. what is the
perimeter?
Answer:
P=41.72
Step-by-step explanation:
S=ACxDB/2
81.7=8.6xDB/2
81.7=4.3xDB|:4.3
19(mm)=DB
DO=19/2=9.5
OC=8.6/2=4.3
(O is the center of the rhombus, where two diagonals meet)
a²+b²=c² (DO²+OC²=DC²)
9.5²+4.3²=c²
90.25+18,49=c²
√108,74=√c²
c≈10.43
P=4c
P=4x10.43
P=41.72
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A parallelogram is a four-sided figure
with two pairs of parallel lines. Find the
sum of the four angles of a parallelogram.
Multiplying by which number is equivalent to finding 80%?
Answer:
80% is equivalent to 80/100 which is the same as 0.8 and we can just take a number, for example 10, and we can multiply it by 0.8 and we would get 8 which is 80% of the original value.
Please help
The table shows the results of his first 20 rolls of a dice.
Number
1
2
3
4
5
6
Frequency
3
3
5
2
4
3
a) Write down its mode.
…………………………
b) Calculate:
i) Mean
…………………………
ii) Median
…………………………
iii) Range
…………………………
Answer:
Mode=. 3,4
Mean= 21/6=3,5
Median= 3+4/2=5
Range=6-4=2
Step-by-step explanation:
1. Mode are numbers in between.
2. Mean add all number devide with the highest value.
3. Median are 2 middle number add them and divide them by 2.
4. Highest value subtract lowest value.
Apply green’s theorem to evaluate the integral 3ydx 2xdy
The value of the integral 3ydx+2xdy using Green's theorem be - xy
The value of [tex]\int\limits_c 3ydx+2xdy[/tex] be -xy
What is Green's theorem?Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C.
If M and N are functions of (x, y) defined on an open region containing D and having continuous partial derivatives there, then
[tex]\int\limits_c Mdx+Ndy[/tex] = [tex]\int\int\〖(N_{x}-M_{y}) \;dxdy[/tex]
Using green's theorem, we have
[tex]\int\limits_c Mdx+Ndy[/tex] = [tex]\int\int\〖(N_{x}-M_{y}) \;dxdy[/tex] ............................... (1)
Here [tex]N_{x}[/tex] = differentiation of function N w.r.t. x
[tex]M_{y}[/tex]= differentiation of function M w.r.t. y
Given function is: 3ydx + 2xdy
On comparing with equation (1), we get
M = 3y, N = 2x
Now, [tex]N_{x}[/tex] = [tex]\Luge\frac{dN}{dx}[/tex]
= [tex]\frac{d}{dx} (2x)[/tex]
= 2
and, [tex]M_{y}[/tex] = [tex]\Huge\frac{dM}{dy}[/tex]
= [tex]\frac{d}{dy} (3y)[/tex]
= 3
Now using Green's theorem
= [tex]\int\int\〖(2 -3) dx dy[/tex]
= [tex]\int\int\ -dxdy[/tex]
= [tex]-\int\ x dy[/tex]
=[tex]-xy[/tex]
The value of [tex]\int\limits_c 3ydx+2xdy[/tex] be -xy.
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Guys I need this really quickly please !!
Whats this as a ordinary number?
5x10-2
Answer:
0.035 3.5×10-²
Step-by-step explanation:
im sorry that is my answer thank you
Stacy recorded the number of minutes she used her
smartphone each day for one week before using an
app that awards points for decreased phone usage,
and for one week after using the app. Stacy's
alternative hypothesis is Ha:X< 114.6.
Before 103 127 87 12495 136 130
After 83 94 1201057598 96
Stacy used a simulation to randomize her data 200
times. She found that the difference between sample
means over 200 trials is approximately normally-
distributed, with a mean of -0.2 and a standard
deviation of 9.1. Which of the following conclusions
is most appropriate?
Phone use did not change.
Phone use increased and then decreased.
Phone use increased.
Phone use decreased.
Using the t-distribution, it is found that the most appropriate conclusion for the hypotesis test is given by:
Phone use did not change.
What are the hypothesis tested?At the null hypothesis, we test if the mean has not changed, that is:
[tex]H_0: \mu = 0[/tex]
At the alternative hypothesis, we test if it has changed, that is:
[tex]H_1: \mu \neq 0[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, the values of those parameters are as follows:
[tex]\overline{x} = -0.2, \mu = 0, s = 9.1, s = 200[/tex]
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{-0.2 - 0}{\frac{9.1}{\sqrt{200}}}[/tex]
t = 0.31.
What is the conclusion?Considering a two-tailed test, as we are testing if the mean is different of a value, with a standard significance level of 0.05 and 200 - 1 = 199 df, the critical value is of [tex]|t^{\ast}| = 1.972[/tex].
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis and the conclusion is:
Phone use did not change.
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Please help me with this it's algebra WILL GIVE BRAINLIEST and 40 points
Answer:
y≥3x-2
Step-by-step explanation:
Select all the rational numbers
Answer:
B. 3.14
C. .33
E. 3.46
remember rational number are can be measured from decimals and even fractions.
Which figure has two bases and one lateral face that is rectangular?
a prism
Step-by-step explanation:
it has two parallel, congruent bases that are connected by a lateral face
If Madison had 10 apple and gave 3 away to Zack how many apples does she have
Answer:
7 i think because 10-3 =7
also 3+7 =10
Step-by-step explanation:
Answer:
Its 7 because it you do 10-3 it would equal up to 7
Step-by-step explanation:
What number comes
next in the pattern? The rule is "Multiply
the position number by itself." Describe a
feature of the pattern.
1,4,9,16,
Answer:
25 comes next
Step-by-step explanation:
okay so when it says "position" it means the numbers place in the order, for example "4" in this case would be the in the second position and "16" in the fourth position.
to get 1 you do: 1*1 because 1 is the first number and it is in the first (1) position.
To get the second number (4) you do: 2*2 because two is the second number (it comes after 1) and it is in the second position.
For 9, you do 3*3; the pattern here is squares, 1^2=1 2^2=4, 3^2=9, 4^2=16.
If we follow that pattern we will get 5^2=25
5. What is the value of p in the equation?
p - 4 = -8
-2
-12
-4
- 32
Answer: p=-4
Since,
=> p-4=-8
=>p-4+4 =-8+4(adding 4 both sides)
=>p=-4 ans.
Answer:
-4
Step-by-step explanation:
Given
p - 4 = -8Add 4 to both sides.
p - 4 + 4 = -8 + 4p = -4Hence, the value of p in the equation is -4.
what’s the area and the perimeter and of the triangle?
Answer:
i hope it helps
Step-by-step explanation:
area= inside of figure
area of triangle= 1/2 base*height
perimeter= sum of all sides
perimeter of triangle= a+b+c
Answer:
A= 8.25 m P≈ 16.2 m
Step-by-step explanation:
i need an answer quicklyy
Answer:
by Translation.
Using the photo it is (5/-8)
What is the trigonometric ratio for sin Z?
Enter your answer, as a simplified fraction, in the boxes.
Answer:
[tex] \large { \purple{ \sf {The \: value \: of \: sin \: Z \: is} \sf \frac{3}{5} }}[/tex]
Step-by-step explanation:
[tex] \large{\underline{\underline{\pink{\sf{To \: \: find :-}}}}}[/tex]
[tex] \textsf{The value of Sin Z}[/tex]
[tex]\large{\red{\underline{\textsf{Given :-}}}}[/tex]
YZ (B) = 32 (which the base of the triangle)
XZ (H) = 40 (which is the hypotenuse of the triangle)
[tex] \textsf{ \huge { \underline{ \orange{Solution :-}}}}[/tex]
[tex] \sf{The \: formula \: to \: find} \sin Z = \frac{P}{H} \\ \textsf{which \: means} \\ \sf \rightarrow \frac{perpendicular}{hypotenuse} [/tex]
But here we don't have perpendicular so we use Pythagoras theorem to find perpendicular
[tex]{ \sf {(perpendicular)}^{2} + \sf{(base)}^{2} = \sf {(hypotenuse)}^{2} } \\ \sf {(P)}^{2} + \sf {(B)}^{2} = \sf {(H)}^{2} [/tex]
let here P = P
[tex] \sf {(P)}^{2} + {(32)}^{2} = {(40)}^{2} \\ \sf {P}^{2} + 1024 = 1600 \\ \sf {P}^{2} = 1600 - 1024 \\ \sf {P}^{2} = 576 \\ \sf P = \sqrt{576} \\ \sf P = 24[/tex]
Now we to find Sin ZPH
[tex] \sf \ \sin Z = \frac{P}{H} \\ \implies \frac{24}{40} \\ \implies \frac{6}{10} \\ \implies \frac{3}{5} [/tex]
The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls.
The accompanying table and the range rule of thumb show that 1 girl is a significantly low number of girls because 1 girl is less than the minimum value that is not significant.
How to depict the information?x. p(x). xp(x).
0 0.002 0 0.0516
1 0.016 0.016 0.2665
2 0.039 0.078 0.3702
3 0.113 0.339 0.4894
4 0.205 0.82 0.2396
5 0.241 1.205 0.0016
6 0.196 1.176 0.1655
7 0.113 0.791 0.4161
8 0.041 0.328 0.3493
9 0.012 0.108 0.1843
10 0.022 0.22 0.5323
Total = 1 5.1 3.066
Maximum value of range will be:
= 5.1 + [2*1.75]
= 5.1 + 3.5
= 8.6
Minimum value of range will be:
= 5.1 - [2*1.75]
= 5.1 - 3.5
=1.6
Therefore, 1 girl is a significantly low number of girls, because 1 girl is less than the minimum value that is not significant.
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Can some one please help me ?
Answer:
B. 13.5 in ^2
Just use the formula : 1/2 h ( a + b )
If in the case you need any other help , let me know. [ You need to pay me] :) Thanks!
Carolina, with the intention of investing money in real estate, acquired a plot of land for R$ 350,000.00. Over four years, the asset underwent changes in its commercial value, as follows variations:
First year: 12% appreciation
Second year: 10% appreciation
Third year: 8% devaluation
Fourth year: 6% appreciation
Having this information as a reference, it is correct to say that at the end of the analyzed period this plot of land
will have the value of:
(A) BRL 329,000.00.
(B) BRL 372,901.76.
(C) BRL 420,000.00.
(D) BRL 420,506.24.
(E) BRL 437,754.24.
At the end of the analyzed period this plot of land will have the value as given by: Option D: 420,506.24
What is appreciation and deprecation?Deprecation, also called devaluation, is the decrement in price of an asset. Appreciation is opposite of deprecation. This indicates increment in the price of the considered thing.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
It is given that:
Initial price of the plot of land = $350,000First year: 12% appreciationSecond year: 10% appreciationThird year: 8% devaluationFourth year: 6% appreciationNow, consider appreciation of an amount A by P%.
Then, we have:
Increased price = Initial price + P% of initial price
Increased price = [tex]A + \dfrac{A}{100} \times P = A \times \left(1 + \dfrac{P}{100} \right)[/tex]
Similarly, depreciated price by P% of an amount A is:
Decreased price = [tex]A - \dfrac{A}{100} \times P = A \times \left(1 - \dfrac{P}{100} \right)[/tex]
We've got: A = 350,000
After 1st year, which had 12% appreciation, we get:
[tex]A_1 =A(1 + 12/100) = A(1.12)\\[/tex]
After 2nd year, 10% appreciation we get:
[tex]A_2 =A_1(1 + 10/100) = A_1(1.1) = A(1.12)(1.1)\\[/tex]
After 3rd year, which had 8% devaluation effect on the price, we get:
[tex]A_3 = A_2(1 - 8/100) = A_2(1-0.08) = A_2(0.92) = A(1.12)(1.1)(0.92)[/tex]
After 4th year, which had 6% appreciation effect on the price, we get:[tex]A_4 = A_3(1 + 6/100) = A_4(1+0.06) = A_3(1.06) = A(1.12)(1.1)(0.92)(1.06)[/tex]
Thus, the final effect on A is:
[tex]A \rightarrow A(1.12)(1.1)(0.92)(1.06) = A(1.2014464)\\\$350,000 \rightarrow 350000(1.2014464) = 420506.24\: \rm dollars[/tex]
Thus, at the end of the analyzed period this plot of land will have the value as given by: Option D: 420,506.24
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The radius of a circle is 14 ft. Find its circumference in terms of \piπ.
Answer:
Circumference of circle : 2πr
= 2 × π × 14
= 28 π ft
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-2-3(a)=-23
Please answer this with how you got the answer.
Answer:
a = 7
Step-by-step explanation:
» Solution
Step 1: Add 2 to both sides.
[tex]-3a-2+2=-23+2[/tex] [tex]-3a=-21[/tex]Step 2: Divide both sides by -3.
[tex]-3a/-3=-21/-3[/tex] [tex]a=7[/tex]Therefore, a = 7.
A square based pyramid has a surface area of 111.6 in2. The sides of the base
of the pyramid measure 4 inches. What is the slant height of the figure?
Answer:
11.95 in
Step-by-step explanation:
We can find the slant height of a square-based pyramid by solving the area formula for the unknown value.
__
The formula for the area of a square-based pyramid can be written ...
A = s(s +2h)
where s is the side of the square base, and h is the slant height.
Filling in the given values, we can solve for h:
111.6 = 4(4 +2h)
27.9 = 4 +2h . . . . . divide by 4
13.95 = 2 +h . . . . . divide by 2
11.95 = h . . . . . . . . subtract 2
The slant height of the figure is 11.95 inches.
The cost of hot drinks in a café is shown:
Cappuccino £2.40
Latte £2.60
Hot Chocolate £3.00
Coffee £2.00
Tea £1.80
adam buys a latte, 2 hot chocalates and a tea.
how much will the drinks cost in total?
Answer:
£10.40
Step-by-step explanation:
Latte = £2.60
2 Hot Chocolates = £6.00
Tea = £1.80
Total = £2.60 + £6.00 + £1.80 = £10.40
Answer:
£10.40
Step-by-step explanation:
Add the cost of the drinks together to find the total cost:
[tex]\begin{tabular}{r r}Latte & \£2.60\\Hot Choc & \£3.00\\ Hot Choc & \£3.00\\Tea & \£1.80\\\cline{1-2} Total & \£10.40\\\cline{1-2}\end{tabular}[/tex]
The solution to the problem
there so many question possibilities and the do many possibilities for answers
Line a is parallel to line b. If the measure of <7 is 114 , what is the measure of <1
Answer:
66
Step-by-step explanation:
Which of the following people might want to claim EXEMPT on their W-4
form?
• John, who is 20 and expects to earn $12,850 from his internship.
• Stacey, who is 16 and expects to earn $7,500 from her part-time job.
® David, who is 23 and expects to earn $15,000 from his part-time job.
Hannah, who is 25 and expects to earn $55,000 from her full-time job.
The person that might want to claim exemption on the W-4 form is John who received money from his internship.
When can you claim the exemption when filling out the W-4 form?This is possible if your income does not derive from:
A salary from a formal job.Unemployment compensation.Money from an employer.Who can claim the exemption?John can likely be exempted because he obtained the money from an internship, which is not a formal job.
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draw the line 3y-4x=12 for values of x from -3 to 3
Answer:
Step-by-step explanation:
Explanation:
Notice that the terms are linear or constant, so this equation represents a straight line.
We can find the intersections with the
x
and
y
axes by setting
y
or
x
equal to zero, or equivalently covering up the corresponding term and solving the resultant equation.
So putting
x
=
0
we get:
3
y
=
12
Dividing both sides by
3
, we find:
y
=
4
So the line intercepts the
y
axis (which has equation
x
=
0
) at the point
(
0
,
4
)
If we instead put
y
=
0
then we get:
4
x
=
12
I need help asap.
If the area of the rectangular base of Julian's tank is approximately 300 square inches, what is the approximate area of the rectangular base of his friend's tank?
302.5 square inches
468.75 square inches
750 square inches
375 square inches
The area of the rectangular base of his friend's tank is 468.75 square inches. So, Option D is correct.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
One of Julian's friends also has a rectangular aquarium.
The dimensions of his friend's tank are each exactly 1 1/4 times the dimensions of Julian's tank.
Let x be the length of Julian's tank.
Let y be the width of Julian's tank.
So, the Area of Julian's tank = length × Width
= xy
Since we are given
300 = xy
Now we are given that the dimensions of his friend's tank are each exactly times the dimensions of Julian's tank.
So, the length of his friend's tank = 5/4 x
So, the width of his friend's tank = 5/4 y
So, Area of his friend's tank = ( 5/4 x) (5/4 y)
= 25 / 16 xy
= 25 / 16 (300)
= 468.75
Hence the area of the rectangular base of his friend's tank is 468.75 square inches.
So, Option D is correct.
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