Answer:
-8
Step-by-step explanation:
Two similar figures have a side ratio of 2:5. What is the ratio of their volumes?
Answer: The ratio of the side lengths of two similar figures is 2:5.
Let's assume that the dimensions of the smaller figure are 2x, 2y, and 2z, where x, y, and z are some constants. Then, the dimensions of the larger figure will be 5x, 5y, and 5z.
The ratio of the volumes of two similar figures is the cube of the ratio of their corresponding side lengths.
So, the ratio of the volumes of the smaller and larger figures will be:
(2x)^3 : (5x)^3
8x^3 : 125x^3
We can simplify this ratio by dividing both sides by the common factor of x^3:
8 : 125
Therefore, the ratio of the volumes of the smaller and larger figures is 8:125.
Step-by-step explanation:
A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine the total square feet of laminate wood needed to complete the job.
===========================================================
Explanation:
As shown in the diagram below, I've drawn a blue horizontal line to split the figure into two rectangles (smaller one up top, larger down below).
The smaller rectangle up top is 25 ft by 8 ft, giving an area of 25*8 = 200 sq ft.
The larger rectangle down below is 35 ft by 25 ft so we have an area of 35*25 = 875 sq ft.
The total area is 200+875 = 1075 square feet
Notes:
We can write "square feet" as "sq ft" or as "ft^2" without quotes.The portion "5 ft", in the upper left corner, is never used.Ricardo bought a jacket priced at $40. The total cost of the jacket, including sales tax, was $43. What was the sales tax rate to the nearest tenth of a percent?
Can someone help me please? Picture attached
Answer:
Step-by-step explanation:
A^2 + B^2 = C^2
12^2 + B^2 = 18^2
144 + B^2 = 324
Subtract 144 from both sides
B^2 = 324 - 144
B^2 = 180
\(\sqrt{180}\) = 13.416
B^2 = 13.4
A dolphin is swimming at a depth of -50 feet and then ascends a certain number of feet to a depth above -35 feet. What is the inequality
This means that the dolphin must ascend more than 15 feet to reach a depth above -35 feet.
What is inequality ?
In mathematics, an inequality is a mathematical statement that compares two values and indicates whether one value is greater than, less than, or equal to the other value. Inequalities are represented using inequality symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).
Let's assume that the dolphin ascends x feet from its initial depth of -50 feet.
The depth of the dolphin after ascending x feet can be calculated as follows:
-50 + x
The inequality that represents the dolphin ascending a certain number of feet to a depth above -35 feet is:
-35 < -50 + x
Simplifying this inequality, we get:
-35 + 50 < x
15 < x
So the inequality that represents the dolphin ascending a certain number of feet to a depth above -35 feet is:
x > 15
Therefore, This means that the dolphin must ascend more than 15 feet to reach a depth above -35 feet.
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Someone help plz make sure it’s right will mark brainiest
Isabella sells hats at her store.she typically sells 24 hats every 3 days.based on this information,how many days will it take Isabella to sells 96 hats
Answer:
12
Step-by-step explanation:
24/3 (divide each side by 3)
8/1
8 hats per day
96 hats divided by 8 = 12/1
12 days
What is the product of 3/5x4/9
Answer: 4/15
For fraction multiplication, multiply the numerators and then multiply the denominators
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 12 and 45 using
GCF(12,45) = 3
Therefore: it's 4/15
Hope this helps (>'-'<)
When a number is added to n plus StartFraction 1 Over 5 EndFraction n equals 24. Of itself, the result is 24. The equation that models this problem is n + n plus StartFraction 1 Over 5 EndFraction n equals 24.N = 24. What is the value n? n = 18 n = 20 n = 21n equals 23 and StartFraction Over 5 EndFraction 5 n = 23n equals 23 and StartFraction Over 5 EndFraction 5
Answer: n = 20
Step-by-step explanation:
Given that the problem goes thus:
When a number, n is added to 1/5 n of itself, the outcome obtained is 24.
Mathematically,
n + 1/5 of n = 24
n + (1/5n) = 24
1n + 1/5n = 24
(5n + 1n) / 5 = 24
6n / 5 = 24
6n = 24 × 5
6n = 120
n = 120 / 6
n = 20
Answer:
B on edg, n=20
Step-by-step explanation:
Mr. Perez can detail 6 cars in 3/4 of an hour. How many cars can Mr. Perez detail in one hour?
Answer:
8
Step-by-step explanation:
He details 2 cars every 1/4 of an hour so you just add 2 more and there is your answer.
a transition matrix is called doubly stochastic if both rows and columns sum to 1. show that all finite-dimensional doubly stochastic matrices have a uniform stationary distribution.
Transition matrix is called a doubly stochastic matrix (if sum of each rows and columns is 1 ).
We can see that the distribution of doubly stochastic matrix for all finite dimensional has Uniform stationary distribution.
Doubly Stochastic Matrix
A transition random matrix P is defined as a dual random matrix if the sum of the rows and columns is one.
Therefore, for each column j of the doubly random matrix, let ∑ ipᵢⱼ = 1. Suppose the distribution π on S also has π₁ = π if the Markov chain starts with the initial distribution π₀ = π. That is, if the distribution at time 0 is π, the distribution of π remains 1, and this π is said to be stationary.
Example: A uniform distribution [[π(i) = 1/N for all i]] is stationary if the N × N stochastic transition matrix P is symmetric. More generally, the uniform distribution is stationary if the matrix P is doubly stochastic, i.e. the columns of P sum to 1 (we already know that the rows of P sum to all 1). are available). It is easy to see that when πn approaches a limiting distribution as n → ∞, this limiting distribution must be stationary. To see this, assuming lim n→∞ πn = π' , and n → ∞ in the equation πₙ₊₁ = πₙP, we get π = π'P. This shows that π' is stationary. So , the arguments given pass clearly and simply when the state space is finite.Hence, the required results is achieved .
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Please answer my question quickly.
Answer:
b=sqrt7
Step-by-step explanation:
16=9+b^2
A certain circle can be represented by the following equation. x^2+y^2+16x-14y+49=0x 2 +y 2 +16x−14y+49=0x, squared, plus, y, squared, plus, 16, x, minus, 14, y, plus, 49, equals, 0 What is the center of this circle ? ((left parenthesis ,,comma ))right parenthesis What is the radius of this circle ? units
Answer:
center = (-8, 7)
radius = 8 units
Step-by-step explanation:
Equation of a circle: \((x-h)^2+(y-k)^2=r^2\)
(where (h, k) is the center of the circle and r is the radius)
Rewrite the given equation:
\(x^2+y^2+16x-14y+49=0\)
\(\implies x^2+16x+y^2-14y+49=0\)
\(\implies (x+8)^2-64+(y-7)^2-49+49=0\)
\(\implies (x+8)^2+(y-7)^2=64\)
Therefore:
center = (-8, 7)radius: \(r^2=64 \implies r=\sqrt{64} =8\)Answer:
The circle is centered at (8,0)
The circle has a radius of 10 units.
Step-by-step explanation:
trust
Directions - Convert each equation to slope intercept form, then determine if the lines are parallel, perpendicular, or neither(intersecting).
A) 2z+3y=9
B) 2y-32=8
Slope Intercept Equation
Para, Perp, or Neither
The slope-intercept form of the equations are y = -2x/3 + 3 and y = 3x/2 + 4 and the line are perpendicular to each other.
We know that,
The meaning of slope intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
Given that two equations, we need to find their slope intercept form, and determine if the lines are parallel, perpendicular, or neither (intersecting).
The given equations are;
A) 2x + 3y = 9
B) 2y - 3x = 8
The general equation of a line, in a slope intercept form, is given by,
y = mx + c, where m is the slope of the line and c is the y-intercept,
A) 2x + 3y = 9
3y = 9-2x
y = -2x/3 + 3....(i)
B) 2y - 3x = 8
2y = 3x+8
y = 3x/2 + 4.....(ii)
Here, the slope are -2/3 and 3/2, we can say that both the slopes are negative reciprocal of each other,
We know that slopes of two perpendicular lines are negative reciprocal of each other,
Therefore, the given two line are perpendicular to each other.
Hence, the slope-intercept form of the equations are y = -2x/3 + 3 and y = 3x/2 + 4 and the line are perpendicular to each other.
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**CAN ANYONE PLEASE HELP ME ON THIS? IF YOU ARE AN EXPERT AT MATHEMATICS, PLEASE HELP.**
I’m a bit stuck on this question and i do need help. Could you perhaps show me a step-by-step answer and how to check your answer by it?
a spherical balloon has volume v and radius r . by what factor is its radius reduced if you let enough air out of the balloon to reduce its volume by a factor of 27.0?
The factor of its radius reduced is 3. The result is obtained by comparing the spherical volumes.
What is the formula for a spherical volume?The volume of a spherical can be calculated by
V = 4/3 πr³
Where
V = volumeπ = 3.14 or 22/7r = radius of sphereA spherical balloon has volume v and radius r. Its volume is reduced by a factor of 27.0.
Find the factor of its radius reduced!
The factor of its volume is
V₁/V₂ = 27
We use the formula for spherical volume to find r₁/r₂.
V₁/V₂ = (4/3 πr₁³)/(4/3 πr₂³)
27 = (r₁/r₂)³
r₁/r₂ = ∛27
r₁/r₂ = 3
Hence, the radius is reduced by a factor of 3.
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(5y+3)^2 -20=(5y-3)^2 LHS =RHS show that !!?
Answer:
It's not true = as you can see, the value of y is not the same, so the whole thing is false.
Step-by-step explanation:
First, Solve for y:
(5 y + 3)^2 - 20 = 0
Add 20 to both sides:
(5 y + 3)^2 = 20
Take the square root of both sides:
5 y + 3 = 2 sqrt(5) or 5 y + 3 = -2 sqrt(5)
Subtract 3 from both sides:
5 y = 2 sqrt(5) - 3 or 5 y + 3 = -2 sqrt(5)
Divide both sides by 5:
y = 2/sqrt(5) - 3/5 or 5 y + 3 = -2 sqrt(5)
Subtract 3 from both sides:
y = 2/sqrt(5) - 3/5 or 5 y = -3 - 2 sqrt(5)
Divide both sides by 5:
Answer: y = 2/sqrt(5) - 3/5 or y = -3/5 - 2/sqrt(5)
___________________________
Solve for y:
(5 y - 3)^2 = 0
Take the square root of both sides:
5 y - 3 = 0
Add 3 to both sides:
5 y = 3
Divide both sides by 5:
Answer: y = 3/5
quad fghj is a trapezoid with midsegment . use the given information to find the following. and find the measure of . = ________
Answer:
23
Step-by-step explanation:
Using the midpoint of the trapezoid formula. To find the midsegment of a trapezoid: Measure and write down the length of the two parallel bases. Add the two numbers. Divide the result by two. We are doing a bit of reverse though
Work out the length of x.
Give your answer rounded to 1 decimal place.
9 m
14.5 m
The diagram is not drawn accurately
Please help
Answer:
Calculate the value of x. Give your answer ... Hyp. 5.8 m. Opp. 1. Adi. Diagram NOT accurately drawn. POR is a triangle. Angle Q = 90° ... the value of x. Give your answer correct to 1 decimal place. ... a. Diagram NOT accumtely drawn. 9,6 cm. 6.4 cm. A. Hyp. To. Aaj. LMN is a right-angled triangle. MN = 9.6 cm. ... x = ton-14.5.
Step-by-step explanation:
please be right
Hi, may I get some help?
Answer:
First add the number of bags. Then make sure you the percent of the total of each weight.
Step-by-step explanation:
if you rlly want to know the answer its
4+10+20+24+18+6 bags is 82
4 is 4.8 percent of 82
10 is 12.1 percent of 82
20 is 24.3 percent of 82
24 is 29.2 percent of 82
18 is 21.9 percent of 82 and
6 is 7.3 percent of 82
so answer a is 40 pounds and less
29.2+24.3+12.1+4.8=70.4 percent so its wrong
so answer b is wrong too
answer c is 29.2+21.9+7.3=58.4 so its right but we have to check d
answer d is 4.8+12.1=16.9 so its wrong
THE ANSWER IS C
and may i pwetty please have brainly crown
In an accounting class of 200 students, the mean and standard deviation of scores was 70 and 5, respectively. Use the empirical rule to determine the number of students who scored less than 65 or more than 75.
a) About 32,
b) About 64,
c) About 68,
d) About 136.
43 728 130 129 714 31 свое 180 262 54 738 12 156
Answer:
Step-by-step explanation:
abcdefgijklmnopqrstuvwxyz
Determine the length of HE
8 units
3 units
5 units
2 units
The length of HE is 3 units, which is tangent on the circle.
Explain the term tangent of the circle?Tangents to circles are lines that cross the circle at such a single point.
Point of tangency refers to the location where a tangent and a circle converge. The circle's radius, where the tangent intersects it, is perpendicular here to tangent.The tangent line only touches the circle; it never completely encircles it. At the tangency point, it is parallel to the radius.The angle formed by a chord and tangent is identical to the angle formed by the tangent engraved on the chord's opposing side.For the stated question-
HE and GE are both tangents on circle from the same point E.Thus, both tangent will be equal by the property of the tangent.HE = GE = 3 units.
Thus, the length of HE is 3 units, which is tangent on the circle.
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4cm
4cm
area -
9cm
acm
12cm
12cm
6cm
\ 14cm
Answer:
162
Step-by-step explanation:
I started with the left I did it like a rectangle 4×12=48
because both sides are like that 48×2=96 for the middle 12-9=3 I did that because I needed to know the sides of this new rectangle so now 3×6=18 now we need to add them together to get the area 48+96+18=162
It's been a while, since I've done this, I'm not completely sure
which equation can be used to find t the total price of the feed?
Answer:
t=p(unit pf weight)
Step-by-step explanation:
t=plbs
total price is the price time the lbs of feed
(unit of weight may change) depending on question
the number which best completes the sequence below is: 10 30 15 16 48 24 25 ?
Answer:
10 30 15 16 48 24 25 75 37.5
if you buy 5 bananas for 3 dollars how much do you pay for one
Answer:
One banana costs $1.66.
Step-by-step explanation:
You divide 5 by 3 and you get 1.66666666667, but its long so we have to shorten it. When you shorten the amount you get is 1.66.
Hope this helped! :D
5|2x+6|=26...can someone answer this please
Answer:
x = -2/5 or x = -28/5
Step-by-step explanation:
Let's solve your equation step-by-step.
5(|2x+6|)=26
Step 1: Divide both sides by 5.
5(|2x+6|)/5 = 26/5
|2x+6|=26/5
Step 2: Solve Absolute Value.
|2x+6|=26/5
We know either2x+6= 26/5 r2x+6=−26/5
2x + 6 = 26/5(Possibility 1)
2x+6−6= 26/5 - 6 (Subtract 6 from both sides)
2x = -4/5
2x/2 = -4/5/2 (Divide both sides by 2)
x = -2/5
2x + 6=-26/5 (Possibility 2)
2x+6= -26/5 (Simplify both sides of the equation)
2x + 6 - 6 = -26/5 - 6 (Subtract 6 from both sides)
2x = -56/5
2x/2 = -56/5/2(Divide both sides by 2)
x = -28/5
Answer:
x = -2/5 or x = -28/5
Where's the bus? Jayden takes the same bus to
work every morning. The amount of time (in min-
utes) that he has to wait for the bus to arrive can be
modeled by a uniform distribution on the interval
from 0 minutes to 10 minutes.
a) draw a density curve to model the amount of time that Jayden has to wait for the bus. Be sure to include scales on both axes.
b) on what percent of days does Jayden wait more than 7 minutes for the bus?
c) find the 38th percentile of this distribution.
Using the uniform distribution, we have that:
a) The graph is given at the end of the answer.
b) Jayden waits more than 7 minutes 30% of the days.
c) The 38th percentile is of 3.8 minutes.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value of at lower than x is:
\(P(X < x) = \frac{x - a}{b - a}\)
The probability of finding a value between c and d is:
\(P(c \leq X \leq d) = \frac{d - c}{b - a}\)
The probability of finding a value above x is:
\(P(X > x) = \frac{b - x}{b - a}\)
For this problem, the bounds are given as follows:
a = 0, b = 10.
As shown in the graph at the end of the answer.
The probability of waiting more than 7 minutes is:
\(P(X > 7) = \frac{10 - 7}{10 - 0} = 0.7\)
Jayden waits more than 7 minutes 30% of the days.
The 38th percentile is x for which P(X < x) = 0.38, hence:
\(P(X < x) = \frac{x - a}{b - a}\)
0.38 = x/10
x = 3.8.
The 38th percentile is of 3.8 minutes.
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the voltage produced by the colorimeter is __________ to the absorbance of the sample and ____________ to the light intensity.
The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.
What is voltage?When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).
Here,
The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.
This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.
Similar to this, the voltage generated by the colorimeter rises as light strength falls.
The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.
The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.
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