Answer:
is it radius or diameter?
A rectangular parallelepiped has dimensions a, b and c. The volume is 100cm3. A second parallelepiped has dimensions α, β, γ, where α is 50% of a, β is 20% of b and γ is 10% of c. What is the volume of the second parallelepiped in cubic meters?
The volume of the second parallelepiped will be 1 cm³. According to the given conditions, α is 50% of a, β is 20% of b and γ is 10% of c.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
Given condition;
α is 50% of a, β is 20% of b and γ is 10% of c
α = a/2
β = b/5
γ = c/10
The volume of the first parallelepiped:
V = abc
100cm³=abc
The volume of the second parallelepiped:
[tex]\rm V'= \alpha \times \beta \times \gamma \\\\ \rm V'= \frac{a}{2} \times \frac{b}{5} \times \frac{c}{10} \\\\ V' = \frac{abc}{100} \\\\ V'=\frac{100}{100} \\\\ V' = 1 cm^3[/tex]
Hence, the volume of the second parallelepiped willl be 1 cubic meter.
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B. 21cm 32° L 122° D 0 The perimeter of kite LODI is 74 cm. Find:
1. m/LOD=
2. mLODI =
3. Measure of LO = Why?
4.Measure of ID= Why?
1) Angles IDO and ILO are congruent, and both measure 122 degrees. So, as angles in a quadrilateral add to 360°, angle LOD measures 360-122-122-32=84°
2) As referred to in the first question, angle ODI measures 122°
3) In a kite, there are two pairs of disjoint congruent sides. This means that in this case, ID=IL=21 and LO=OD. As the perimeter is 74, this means LO=(74-21(2))/2=16
4) LI=ID, so ID=21
Question 9 of 10
A fellow classmate tosses 3 coins and finds that 2 of them come up tails.
Which of the following is the best conclusion for her to come to?
OA. She needs to keep flipping the coins until she gets 50% heads in
order to determine if they are fair.
OB. If she flips the coins once more, they will all come up heads.
OC. The coins are unfair.
OD. This could easily happen with a fair coin after only 3 flips.
The best conclusion for her to come to: D. this could easily happen with a fair coin after only 3 flips.
What is a fair coin?A fair coin can be defined as an idealized type of coin that has an equal probability of revealing both heads and tails when randomly tossed.
This ultimately implies that, the best conclusion for her to come to is that this could easily happen with a fair coin after only 3 flips considering 2 of the three coins come up tails.
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Draw a graph of y=3x-2. Using a scale of 2cm to 5units on both axes for values from x -2 to +2
What is the x-intercept
What is the y- intercept
Find the value of x when y= 5
Find the value of y when x= 0.5
pls pls ASAP
Function: y = 3x - 2
To find x-intercept, set [y = 0]:
[tex]\rightarrow \sf 3x - 2 = 0[/tex]
[tex]\rightarrow \sf 3x = 2[/tex]
[tex]\rightarrow \sf x = \dfrac{2}{3}[/tex]
The x-intercept: (2/3, 0)
To find y-intercept, set [x = 0]
[tex]\rightarrow \sf y = 3(0) - 2[/tex]
[tex]\rightarrow \sf y = - 2[/tex]
The y-intercept: (0, -2)
When [y = 5], x is:
[tex]\rightarrow \sf 3x - 2 = 5[/tex]
[tex]\rightarrow \sf 3x = 5 + 2[/tex]
[tex]\rightarrow \sf 3x = 7[/tex]
[tex]\rightarrow \sf x = \dfrac{7}{3}[/tex]
[tex]\rightarrow \sf x = 2 \dfrac{1}{3}[/tex]
Value of x is 2.33...
When [x = 0.5], y is
[tex]\rightarrow \sf y =3(0.5) - 2[/tex]
[tex]\rightarrow \sf y =-0.5[/tex]
Value of y is -0.5
Graph shown:
Translate this sentence into an equation. the product of jenny's height and 4 is 52.
Answer:
4J = 52
Step-by-step explanation:
If Jenny's height is J:
4J = 52
The Pine Scrub Rail Trail is 126 miles long. If the Willy-Nilly Bike Club rides 18 miles per day, how many days will it take them to ride from one end of the trail to the other?
A. 6 days
B. 9 days
C. 7 days
D. 8 days
What type of association does the following scatterplot represent?
Answer:
Positive Linear Association
Step-by-step explanation:
A positive/negative association can be determined by seeing if the slope of the line of best fit is positive or negative. A positive slope indicates a positive relationship and a negative slope indicates a negative relationship.
If y increases as x increases => positive
If y decreases as x increases => negative
In the graph, the line of best fit clearly has a positive slope. I.e. as x increases, y also increases. Therefore, the association is positive.
Next determine if the relationship is linear or nonlinear. A linear relationship can be modeled strongly with a straight line. Anything else is nonlinear. In the graph, a straight line can be draw through the points with a strong correlation, therefore the association is linear.
Therefore, the best answer is Positive Linear Assosciation
Timothy is 13 5/6 years old. Camden is 1 1/3 years younger than Timothy and Jane is 1 1/4 years younger than Camden. How old is Jane?
Answer:
Jane is 11 1/4 years old.
Step-by-step explanation:
Subtract all of the numbers given.
[tex]13\frac{5}{6} -1\frac{1}{3} -1\frac{1}{4}[/tex].
To subtract this, we need to find a common denominator.
A common denominator in this situation is 12. To do this multiply the 5 and the 6 of 5/6 by 2. Multiply the 1 and the 3 of 1/3 by 4. And multiply the 1 and the 4 1/4 by 3.
The new expression will look like this:
[tex]13\frac{10}{12} -1\frac{4}{12} -1\frac{3}{12}[/tex].
Now we can subtract.
[tex]13\frac{10}{12} -1\frac{4}{12} -1\frac{3}{12}=11\frac{3}{12}[/tex]
Reduce the answer.
[tex]11\frac{3}{12}=11\frac{1}{4}[/tex]
In decimal form 11.25
Hope this helps!
If not, I am sorry.
Im kinda stuck i no like this type of math help please
Answer:
EAD
Step-by-step explanation:
the length of a rectangle is five times its width. If the perimeter of the rectangle is 84 in, find its length and width
Answer:
width=14 &Length = 70( can add unit behind the answer e.g.cm or mm etc..)
Step-by-step explanation:
we know that in a rectangle not all side are same compare to a square..
therefore:
1) write the formula for perimeter down
perimeter = the sum of all side
perimeter = 2x(width) + 2x(length)
P=2(w)+2(L)
2) substitute into the equation
P =2(w)+2(L)
84=2(w)+2(5*w)
3) perform opposite operation to make w become the subject of the formula inorder to find width
48=2(w)+2(5*w)
48=2w+10w
48=12w
48/12=12w/12( the twelves cancels out)
7=w or the width is 7
4) rewrite the formula and solve
P=2(w)+2(L)
P =2(7) + 2(5*7)
P = 14 + 70
P = 48
what is the answer I need this to pass
The correct answer is option A which is segment D which is closer to home.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
From the given graph we can see that in segment D the distance between the home and the person is lesser than all the segments given in the graph.
Therefore the correct answer is option A which is segment D which is closer to home.
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The table to the right lists probabilities for the corresponding numbers of girls in three births. What is the random variable, what are its possible values, and are its values numerical?
The true statement is (b) the random variable is x, the possible values are 0 to 3 and the values are numerical
How to determine the true statement?The table is added as an attachment
From the attached image, we have:
Number of girls (x) P(x)
0 0.125
1 0.375
2 0.375
3 0.125
In the above, the random variable is x, while P(x) represents its probabilities.
Also, the possible values are 0 to 3 as shown in the table.
0 to 3 are numerical digits, and the values are numerical
Hence, the true statement is (b)
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System of equations
y = x² + 2x + 7
6x=y=3
Question 2
In Question 1, what do you notice about the y-coordinates before and after a horizontal stretch? What do you notice about the x-coordinates
before and after a vertical stretch?
Answer:
The y-coordinates do not change under a horizontal stretch. The x-coordinates do not change under a vertical stretch.
Step-by-step explanation:
write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help
Using proportion, the equivalent units of the following units are as follows:
6km = 3.73 miles2.5 L = 0.66 gallons 90 Ib = 40.82 kgHow to use proportion to find equivalent units?Using proportion,
1.60934 km = 1 miles
6 km = ?
cross multiply
distance(m) = 6 / 1.60934 = 3.7282364199 = 3.73 miles
1 litre = 0.264172 gallons
2.5 litres = ?
volume(gallons) = 2.5 × 0.264172 = 0.66 gallons
1 pounds = 0.453592 kg
90 pounds = ?
weight(kg) = 40.82328 = 40.82 kg
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What is the area of the trapezoid? If necessary, round your answer to the nearest tenth.
A trapezoid with bottom side length of 8.5 feet, top side length of 5.5 feet, and height of 6.5 feet.
35.8 feet squared
45.5 feet squared
46.8 feet squared
The area of the trapezoid is calculated as 45.5 feet squared.
What does Area of Trapezoid mean?
The entire area occupied by the sides of a trapezoid is its area. It's important to notice that if we know the lengths of all the sides, we can divide the trapezoid into smaller polygons, such as triangles and rectangles, calculate their areas, and then sum them all together to determine the area of the trapezoid.
The formula for Trapezoid Area:If the parallel sides of the trapezoid are known, along with their height, it is possible to determine their area. It is expressed as,
A=[tex]1/2[/tex](a+b) h
where, A= the area of the trapezoid
h= height
'a' & 'b' = parallel side bases
Solution:a=5.5 feet , b= 8.5 feet & h=6.5 feet
A=[tex]1/2[/tex](a+b)h
∴A=[tex]1/2[/tex](5.5+8.5)*6.5
⇒A=[tex]1/2[/tex](14)*6.5
⇒A=7*6.5
⇒A=45.5 feet squared
Therefore, the solution is (b) 45.5 feet squared.
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In the year 1999, the surface elevation of Lake Powell was 3893 feet above sea level. In the year 2005, the surface elevation of Lake Powell was 3425.6 feet above sea level. Interpret the rate of change in this situation.
Answer:
Rate of Change = -77.9 feet/year
My interpretation: "Is Bad."
Step-by-step explanation:
The rate of change is the number of feet that Lake Powell dropped, divided by the number of years the drop took place. We want a value with a unit of feet/year.
Year Feet
1999 3893
2005 3425.6
Change
Year = (2005 - 1999) or 6 years
Feet = (3425.6 - 3893) or -467.4 feet
Rate of Change = (-467.4 feet)/(6 years)
Rate of Change = -77.9 feet/year
=======================
FYI: Lake Powell is 22.39 feet lower today (June 23, 2022) than it was 1 year ago.
Which number is in the solution set of the inequality -5x - 7 > 28?
Hello!
Answer:
[tex]\Large \boxed{\sf A. -7}[/tex]
Step-by-step explanation:
We have this inequality:
[tex]\sf -5x - 7 \geq 28[/tex]
Let's solve this inequality:
◼ Add 7 to both sides:
[tex]\sf -5x - 7+7 \geq 28+7[/tex]
◼ Simplify both sides:
[tex]\sf -5x \geq 35[/tex]
◼ Divide both sides by -5, so also change the sign of the inequality
[tex]\sf \dfrac{-5x}{-5} \leq \dfrac{35}{-5}[/tex]
◼ Simplify both sides:
[tex]\boxed{\sf x \leq -7}[/tex]
So the correct answer is A. -7
(a) By what least number must 27 be divided to make it perfect square
Answer:
3
Step-by-step explanation:
When you divide 27 by 3 it will give you 9 and the square root of 9 gives you a perfect answer indicating that 3 is the least number that must be divided into 27
Answer:
[tex]\fbox {3}[/tex]
Step-by-step explanation:
First, prime factorize 27 :
⇒ 27 = 3 × 3 × 3
If 27 was divided by 3, it would give 3 × 3, which would give 9, a perfect square.
A school stores expenses and sales for a three-month period are shown in the table below. Month Expense Sales September $125.00 $47.00 October$0.00 $65.00 November $57.00 $28.00 Based on the data in the table, what is the loss or pro t for the store for the three-month period? A. $182.00 loss B. $42.00 loss C. $15.00 profit D. $140.00 profi
t
The school store is in $42 loss , Option B is the correct answer.
What is Profit and Loss ?When the sales is more than the expenses then it is called profit and vice versa is called Loss.
The sales and expenses for three months are given
To calculate overall Profit/Loss
Total Expenses = $125 + $0 +$ 57 = $182
Total Sales = $47 +$65 + $28 = $140
Therefore as sales is less than the expense , The school is in loss
Loss = $ 182 -$ 140 = $42
Thus Option B is the correct answer.
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Solve: −4b+4b≥6(−5b+7)−3(b+3)
Answer:
Inequality Form:
b ≥ 1
Interval Notation:
[1,∞)
Step-by-step explanation:
One possible integer of x for which 1/4 < k/10 < 1/3 is true?
Answer:
[tex]\fbox {x = 3}[/tex]
Step-by-step explanation:
Decimal form of the lower and higher limits :
1/4 = 0.251/3 = 0.33...Hence, the best one which lies in the middle of the limits would be 0.3.
Now, equate the middle part :
x/10 = 0.3x = 3Guys, can you please help me write an expression for shaded circle and please expand and simplify for me, guys, please? :)
Answer:
[tex]\sf Shaded \: Area=14 \pi r+49 \pi[/tex]
Step-by-step explanation:
Area of a circle
[tex]\sf A=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]
To find the area of the shaded area, subtract the area of the unshaded circle from the larger circle.
Area of the larger circle
[tex]\implies \sf A=\pi (r+7)^2[/tex]
Area of the smaller (unshaded) circle
[tex]\implies \sf A=\pi r^2[/tex]
Therefore, the area of the shaded area is:
[tex]\implies \sf A=\pi (r+7)^2-\pi r^2[/tex]
Expand and simplify the expression:
[tex]\implies \sf A=\pi (r+7)^2-\pi r^2[/tex]
[tex]\implies \sf A=\pi (r^2+14r+49)-\pi r^2[/tex]
[tex]\implies \sf A=\pi r^2 +14 \pi r +49 \pi -\pi r^2[/tex]
[tex]\implies \sf A=14 \pi r+49 \pi[/tex]
OUTER CIRCLE AREA
π(r+7)²Inner circle area
πr²Area of shaded one
π(r+7)²-πr²π(r²+14r+49-r²)π(14r+49)14πr+49πThe summer solstice can occur on any day of the week, with each day being
equally likely. What is the probability the summer solstice will occur on a
weekday?
О А.
O B.
7
115
517
O C.
O D. 1/1/20
The probability that the summer solstice will occur on a weekday is equal to 5/7.
How to calculate the probability?Generally, there are seven days in a week and two among these days are weekends while five are weekdays. Thus, this can be represented as follows:
Total number of days = 7.Number of weekends = 2.Number of weekdays = 5.Therefore, the probability that the summer solstice will occur on a weekday is given by:
P = 5/7.
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Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)² = 19
☐A. X=
14
B. X= -√19+5
□ C. x= -√19 +5
3
□ D. X = √19 +5
3
DEX=√14
OF X= √19+
Answer:
[tex]\sf x = \dfrac{\sqrt{19}+5}{3} \ ; \ x = \dfrac{-\sqrt{19}+5}{3}[/tex]
Step-by-step explanation:
(3x - 5)² = 19
To find the solution for the equation, take square root on both sides.
[tex]\sf 3x - 5 = \± \sqrt{19}\\\\ Add \ 5 \ to \ both \ sides \\\\ 3x = \±\sqrt{19} + 5\\\\ Divide \ both \sides \ by 3\\\\ x = \dfrac{\±\sqrt{19}+5}{3}\\\\x = \dfrac{\sqrt{19}+5}{3} \ ; \ x = \dfrac{-\sqrt{19}+5}{3}[/tex]
Given that y varies directly as x², find the percentage increase in y when x doubles.
Answer:400%
Step-by-step explanation: by the commutativity of multiplication we find (2x)^2=4(x^2)=4(y)
9^2 times 9^-6 exponential form
The result of the expression in exponential form is 9^-4
Product of exponentsGiven the expression below
[tex]9^2 \times 9^{-6}[/tex]
According the product law, since the base are equal, we will add the exponent to have:
[tex]9^2 \times 9^{-6}=9^{-6+2}\\9^2 \times 9^{-6} = 9^{-4}[/tex]
Hence the result of the expression in exponential form is 9^-4
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Aro diagram his rafting trip
The speed of Aro's paddling and speed of the river will be 1.56 miles per hour and 0.52 miles respectively.
How to calculate the speed?Aro diagrams his river rafting trip, estimating the time it will take him to paddle upstream against the current, and then back downstream with the current. His campsite destination is 5.2 miles upstream. Determine how fast Aro can paddle and how fast the river water is moving. Round to the nearest hundredth as needed. Upstream: Downstream: Let x be the speed of Aro’s paddling and let y be the speed of the river. Upstream: 1.04 = x – y Downstream: 2.08 = x + y Aro can paddle at a speed of miles per hour. The river’s speed is miles per hour.
Based on the information given, the equations will be:
x + y = 1.04
x + y = 2.08
Add both equations together. This will be:
x = 1.56
Now substitute the value of x into equation ii. This will be:
1.56 + y = 2.08
y = 2.08 - 1.56
y = 0.52
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PLS HELP
Select the correct answer.
Consider function f.
f(x) = 2x²
What is the value of (f of)(x)?
A.
B.
OC.
D.
8x4
16x4
4x4
4x²
Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} [/tex]
[tex] \: [/tex]
[tex] = (f \circ f)(x)[/tex]
[tex] = f(f(x))[/tex]
[tex] = 2 {x}^{2} [/tex]
[tex] = 2 {(2 {x}^{2} )}^{2} [/tex]
[tex] = 2( {2}^{2} {x}^{2 + 2} )[/tex]
[tex] = 2(4 {x}^{4} )[/tex]
[tex] = 8 {x}^{4} [/tex]
The answer is A.
Celo used the simple interest formula uppercase a = uppercase p (1 r t) to calculate the interest he earned on his savings last month. which equation is equivalent to the simple interest formula? uppercase p = startfraction uppercase a over 1 r t endfraction uppercase p = startfraction 1 r t over uppercase a endfraction uppercase p = uppercase a minus (1 r t) uppercase p = uppercase a (1 r t)
The equation equivalent to the simple interest formula A = P(1 + rt), that Celo used is P = A/(1 + rt). Hence, the first option is the right choice.
Equivalent equations are the equations that are transformed from one equation to another equation, but the final values they give are equal. It's just the change of the variable on which the equation is derived.
The simple interest equation that Celo used is A = P(1 + rt).
This is currently used to find the final amount A.
On isolating P to one side of the equation in the following ways:
A = P(1 + rt),
or, A/(1 + rt) = {P(1 + rt)}/(1 + rt) {Dividing both sides by (1 + rt)}.
or, A/(1 + rt) = P {Simplifying}.
or, P = A/(1 + rt) {Changing sides}.
Thus, the equation equivalent to the simple interest formula A = P(1 + rt), that Celo used is P = A/(1 + rt). Hence, the first option is the right choice.
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