Answer:
2:6 and 1:3.
Step-by-step explanation:
18 divided by 9 = 2
54 divided by 9 = 6
18 divided by 18 = 1
54 divided by 18 = 3.
Hope that helps. x
Answer : 1:3, 2:6, 3:9, 4:12, 5:15, 6:18, 7:21, 8:24, 9:27, 10:30, etc . . .
Step - by - step explanation :
18:54 divided by 6/6 = 3:9
3:9 divided by 3/3 = 1:3 <-- simplest form :D
Which of the following statement is correct about secánt and tangent line
to a circle?
A. A secant of a circle contains chord of a circle
B. A secant of a circle always contains diameter of a circle
C. A tangent to a circle contains an interior point of the circle
D A tangent to a circle can pass through the center of the circle
Answer:
option A
Step-by-step explanation:
secant intersects the circle at exactly two points. A chord is the line segment make a chord inside circle
Find the percent increase in price per cheese stick.
Answer:
The answer is 80%
Step-by-step explanation:
BRAINLIEST PLEASEEEE
Find the perimeter. Do not use decimals, units of measurement (ex. ft, mi,
yd, etc.) or commas in your answer.
76 yd
This is very simple
Perimeter is the sum of all the outer sides
22yd + 22yd + 16yd +16yd
This will give you
76yd
Answer: 76
Step-by-step explanation: Perimeter is 2(length +breadth)
2(22+16)
A surveyor measures the lengths of the sides of a triangular plot of land. what is the measure of the angle of the triangular plot at which the surveyor stands? approximate to the nearest degree. cosâ€""1(0.75) = 41° cosâ€""1(0.125) = 83° cosâ€""1(0.563) = 56° cosâ€""1(0.15) = 89°
The surveyor determines the angle of the triangular plot by using the inverse cosine function with a given value of cos⁻¹(0.15). The result of approximately 89° represents the approximate measure of the angle at which the surveyor stands in relation to the sides of the plot.
Among the given options for the inverse cosine values, the measure of the angle of the triangular plot at which the surveyor stands is determined by the value of cos⁻¹(0.15), which is approximately 89°.
Each result represents the measure of the angle at which the surveyor stands in relation to the sides of the triangular plot. It's important to note that these results are approximate values rounded to the nearest degree.
By using the given cosine values and applying the inverse cosine function, the surveyor can determine the approximate angle of the triangular plot.
Therefore, The approximate measure of the angle of the triangular plot at which the surveyor stands is 89°.
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Question-
A surveyor measures the lengths of the sides of a triangular plot of land. what is the measure of the angle of the triangular plot at which the surveyor stands? Approximate to the nearest degree.
cos^(-1)(0.75) ≈ 41°
cos^(-1)(0.125) ≈ 83°
cos^(-1)(0.563) ≈ 56°
cos^(-1)(0.15) ≈ 89°
help please due at 5:30
Answer:
Step-by-step explanation:
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Let's evaluate :
\( - 6m + 3 - 4 - 6m\)\(( - 6 \times - 2) + 3 - 4 - ( 6 \times - 2)\)\(12 - 1 + 12\)\(24 - 1\)\(23\)Find the volume of a cone with a base diameter of 10 m and a height of 8 m. Write the exact volume in terms of , and be sure to include the correct unit in your answer.
Answer:
The answer is given in the picture
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT
Evaluate the indefinite integral. Use a capital " C " for any constant term. ∫(3ex+4x5−x34+1)dx= TIP Enter your answer as an expression. Example: 3x∧2+1,x/5,(a+b)/c Be sure your variables match those in the question
The equatiion where C is the constant of integration.To evaluate the indefinite integral ∫(3e^x + 4x^5 - x^3/4 + 1)dx, we can integrate each term separately.
∫3e^x dx = 3∫e^x dx = 3e^x + C₁
∫4x^5 dx = 4∫x^5 dx = 4 * (1/6)x^6 + C₂ = (2/3)x^6 + C₂
∫-x^3/4 dx = (-1/4)∫x^3 dx = (-1/4) * (1/4)x^4 + C₃ = (-1/16)x^4 + C₃
∫1 dx = x + C₄
Now, we can combine these results to obtain the final answer:
∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C
Therefore, the indefinite integral of (3e^x + 4x^5 - x^3/4 + 1)dx is:
∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C
where C is the constant of integration.
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Calcylate the volume of this regular solid
What is the volume of the rectangular prism
6 cm
5 cm
9 cm
Answer:
V = 270 cm³
Step-by-step explanation:
Remember your volume formula: V=lwh
So, plug in all your variables and multiply:
(6)(5)(9) = 270
And we have our final answer!
Explain the mathematical expression of the first law of thermodynamics for any state.Discuss the physical meaning of each term in an explicit form of it.Then,deduce the explicit form of energy balance equation for the following scenarios by drawing appropriate schematics.
The first law of thermodynamics, mathematically expressed as:
ΔU = Q - W
Where:
ΔU represents the change in internal energy of the system,
Q represents the heat added to the system, and
W represents the work done by the system.
The first law of thermodynamics, also known as the law of energy conservation, states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system.
The term "internal energy" (ΔU) refers to the total energy possessed by the system, including the kinetic and potential energy of its molecules. It is a measure of the system's thermal energy.
The term "heat" (Q) represents the transfer of energy between the system and its surroundings due to temperature difference. It is a form of energy transfer that occurs spontaneously from higher temperature regions to lower temperature regions.
The term "work" (W) represents the energy transfer resulting from forces applied to the system, causing displacement. It can take different forms, such as mechanical work, electrical work, or expansion work.
For different scenarios, the explicit form of the energy balance equation can be derived by considering the specific types of work and heat involved in the system. By drawing appropriate schematics, one can identify the relevant forms of work and heat transfer. Examples include:
Adiabatic Process: In this scenario, no heat transfer occurs (Q = 0). The energy balance equation simplifies to ΔU = -W, where the work done by the system contributes to the change in internal energy.
Isothermal Process: In this case, the temperature remains constant (ΔU = 0). The energy balance equation becomes Q = W, indicating that the heat added to the system is fully converted into work.
Isobaric Process: Here, the pressure remains constant. The energy balance equation can be written as ΔU = Q - PΔV, where P is the constant pressure and ΔV is the change in volume. This equation accounts for both heat transfer and work done against the constant pressure.
Therefore, by applying appropriate schematics and considering the specific conditions of a given scenario, one can deduce the explicit form of the energy balance equation and understand the interplay between heat, work, and the change in internal energy.
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What is the interquartile range of the data shown in the box plot?
Answer:
12
Step-by-step explanation:
Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)
From the box plot given, the first quartile is located at the beginning of the edge of the rectangular box = 73,
the third quartile is located at the other edge of the rectangular box to your right = 85
What characteristics best describe the graph? Choose all that apply. *
Answer:
Options (1), (3) and (7)
Step-by-step explanation:
Characteristics of the given graph are as followed.
1). For every input value (x-value) there is a different output values (y-values).
So the points on the graph represent a function.
2). Coordinates of all the points are distinct and separate (not in fractions or decimals).
Function given is a discrete function.
3). For every increase in the x-values of the points there is a decrease in y-values.
Therefore, given function is a decreasing function.
Therefore, Options (1), (3) and (7) are the correct options.
graph the solution of this inequality 350 ≥ 125 + 15x
the line would be at x=15 and you would shade all to the left of the line and a point in that zone or on the line would work in the equation
The graph of the linear inequality 350 ≥ 125 + 15x is attached below.
How to graph linear inequality?To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line.
If the inequality is strict ( < or > ), graph a dashed line. If the inequality is not strict ( ≤ or ≥ ), graph a solid line.
Finally, pick one point that is not on either line ( (0,0) is usually the easiest) and decide whether these coordinates satisfy the inequality or not. If they do, shade the half-plane containing that point. If they don't, shade the other half-plane.
15x + 125 <= 350
15x <= 225
x <= 15
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does the triangle inequality hold for the vectors u and v? u = (7, 0), v = (1, 1)
The triangle inequality holds for the vectors u and v.
To determine if the triangle inequality holds for the vectors u and v, where u = (7, 0) and v = (1, 1), we need to check if
the following inequality is true
||u + v|| ≤ ||u|| + ||v||
Calculate the magnitudes ||u|| and ||v||.
\(||u|| = √(7^2 + 0^2) = √49 = 7\)
\(||v|| = √(1^2 + 1^2) = √2\)
Add the magnitudes.
||u|| + ||v|| = 7 + √2
Calculate u + v.
u + v = (7+1, 0+1) = (8, 1)
Calculate the magnitude of u + v.
\(||u + v|| = √(8^2 + 1^2) = √65\)
Now, let's check if the inequality is true:
||u + v|| ≤ ||u|| + ||v||
√65 ≤ 7 + √2
Since √65 ≈ 8.06 and 7 + √2 ≈ 8.41, the inequality holds:
8.06 ≤ 8.41
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Calculate the state income tax owed on a $70,000 per year sale round your answer to the nearest whole dollar amount
The state income tax owed on a $70,000 per year salary is $ $3,684.
To compute the state income tax payable on a $70,000 per year wage, we must first estimate how much of the salary falls into each progressive tax band and then calculate the tax owed for each range.
The first $2,000 in earnings is taxed at 2%:
This portion's tax = $2,000 x 0.02 = $40
The following $7,000 in earnings (from $2,001 to $9,000) is taxed at 5%:
This portion's tax = $7,000 x 0.05 = $350
The remainder of your income beyond $9,000 is taxed at 5.4%:
This portion's tax = ($70,000 - $9,000) x 0.054
= $61,000 x 0.054
= $ 3294
Now, the total amount of tax owed = 40 + 350 + 3294
= $ 3,684.
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Correct question:
A certain state uses the following progressive tax rate for calculating individual income tax:
Income Range ($) Progressive Tax Rate
0-2000 2%
2001-9000 5%
9001 and up 5.4%
Calculate the state income tax owed on a $70,000 per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount
Please help I’m struggling
Sami made $23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What was his hourly pay rate? Sami made $ v per hour and $v per week.
$450
Step-by-step explanation:
The total income that Sam made last year is $23,400.
Since he worked 30 hours per week and worked all 52 weeks of the year, it means that the total number of hours that he worked for the year would be
52×30 = 1560 hours.
To determine how much Sam made per hour, we would divide the total amount made for the year by the number of hours worked. It becomes
Hourly rate = 23400/1560 = $15
Since Sam earns $15 per hour and he works 30 hours in a week, it means that his weekly rate would be
15×30 = $450
Answer:
15 per hour
450 a week
Step-by-step explanation:
52*30=1560 hours(total)
23400/1560=15
Need help with this ASAP I’ll mark brainliest
Answer:
g = 30 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse g is equal to the sum of the squares on the other 2 sides , that is
g² = 18² + 24² = 324 + 576 = 900 ( take square root of both sides )
g = \(\sqrt{900}\) = 30
Probability, 3 way venn diagram questions.
The probability that the number chosen at random is a member of A ∩ B is equal to 1/15.
The completed Venn diagram is on attached picture.
What is Venn diagramVenn diagrams are commonly used in mathematics, statistics, and logic to illustrate relationships between sets of data. It consists of circles that overlap to show the similarities and differences between the sets like in the case of students data.
A ∩ B is read as A intersection B, which implies the set of all datas found in both set A and set B without repeating any data.
Given that set A = {9, 15, 17, 19} and B = {5, 15, 25}
so;
A ∩ B = {15}
All possible outcome = {all odd numbers less than 30} = 15
probability that the number chosen at random is a member of A ∩ B = 1/15
Therefore, from the completed Venn diagram, the probability that the number chosen at random is a member of A ∩ B is equal to 1/15.
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After purchasing a home for $160,000, the homeowner noticed the suggested value of her house was depreciating (going down) each year by 5% for at least the 6 years she lived there
Answer:
Step-by-step explanation:
It’s c 111,734
Colleen compared the ratios 3:8 and One-half. Her work is shown below. Write the ratios as fractions: Three-eighths and One-half The common denominator is 8. Write each fraction using the common denominator: Three-eighths and One-eighth Compare the numerators: 3 > 1 Write the correct statement: Three-eighths > One-half Where did Colleen make her first mistake?
This question is Incomplete
Complete Question
Colleen compared the ratios 3:8 and 1/2.
Her work is shown below.
Write the ratios as fractions: 3/8 and 1/8 Compare the numerators: 3 > 1 Write the correct statement: 3/8 > 1/2
Where did Colleen make her first mistake?
A. The common denominator should be 4 rather than 8
B. The numerators are compared incorrectly.
C. The fraction 1/2 should have been rewritten as 6/8
D. The fraction 1/2 should have been rewritten as 4/8.
Answer:
D. The fraction 1/2 should have been rewritten as 4/8.
Step-by-step explanation:
Colleen compared the ratios 3:8 and 1/2.
Step 1
Write the ratios as fractions: 3/8 and 1/2
Step 2
Compare the numerators: 3 > 1
Step 3
Compare the denominators 8 >2
Write the correct statement:
3/8 > 4/8
Therefore, D. The fraction 1/2 should have been rewritten as 4/8.
25799645 x 093324777558&76
what happend to u other acc?
Step-by-step explanation:
Answer:
2.4077461e+20
Step-by-step explanation:
thats what goolge calcualtior said. Plz mark me the brainlist
If A is symmetric matrix, then A^3 is a _______ matrix.
If A is a symmetric matrix, then A³ is also a symmetric matrix.
To prove this, we can use the definition of a symmetric matrix, which is a matrix that is equal to its transpose. In other words, if A is a symmetric matrix, then A = A^T.
Now, let's look at A³:
A³ = A * A * A
We can replace each A with A^T, since they are equal:
A³ = A^T * A^T * A^T
Now, we can use the property that the transpose of a product of matrices is equal to the product of their transposes in reverse order:
A³ = (A^T * A^T * A^T)^T
A³ = (A^T)^T * (A^T)^T * (A^T)^T
Since the transpose of a transpose is the original matrix, we can simplify:
A³ = A * A * A
Therefore, A³ is also a symmetric matrix.
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Can i get a step by step for this?
Answer:
x = 85°Step-by-step explanation:
Sum of interior angles of any triangle is 180°:
52° + 43° + x = 180°95° + x = 180°x = 180° - 95°x = 85°HELP ME PLEASE.
find the perimeter, area , and T.S.A of the following solids
Answer:
area =l×b
perimeter=add all the sides
3 solids
A cube with 2.0-cm sides is made of material with a bulk modulus of 4.7 x 10^5 N/m^2. When it is subjected to a pressure of 2.0 x 10^5 Pa is the length of its any of its sides is
The answer is 2.6825 cm, which is not one of the given options. Therefore, the correct answer is E. none of these.
What is the bulk modulus?The bulk modulus, B is defined as:
B = (P / ΔV / V), where P is the pressure applied, ΔV is the change in volume, and V is the original volume.
For a cube, the change in volume, ΔV is related to the change in length, ΔL by:
\(\sf \Delta V = \Delta L^3\).
Given that the cube has 2.0 cm sides, the original volume, V is:
\(\sf V = (2.0 \ cm)^3 = 8.0 \ cm^3\).
The pressure applied is \(\sf P = 2.0 \times 10^5\) Pa and the bulk modulus is \(\sf B = 4.7 \times 10^5 \ N/m^2\).
We can rearrange the bulk modulus formula to solve for ΔL as:
\(\sf \Delta L = \huge \text(\dfrac{P}{B} \huge \text) \times \dfrac{V}{3}\).
Substituting the values, we get:
\(\sf \Delta L = (2.0 \times 10^5 \ \dfrac{Pa}{4.7} \times 10^5\ N/m^2) \times \dfrac{8.0 \ cm^3}{3} = 0.6825 \ cm\)
Therefore, the final length of any side of the cube is:
\(\sf L = 2.0 \ cm + \Delta L = 2.0 \ cm + 0.6825 \ cm = 2.6825 \ cm\)
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Complete Question:
A cube with 2.0-cm sides is made of material with a bulk modulus of4.7 × 10^5 N/m2. When it is subjected to a pressure of 2.0 × 10^5 Pa the length of its any of its sides is:
A. 0.85 cm
B. 1.15 cm
C. 1.66 cm
D. 2.0 cm
E. none of these
Which of the following domains are closed and which are bounded?
(a) {(x,y)∈R2:x2+y2≤1}
(b) {(x,y)∈R2:x2+y2<1}
(c) {(x,y)∈R2:x≥0}
(d) {(x,y)∈R2:x>0,y>0}
(e) {(x,y)∈R2:1≤x≤4,5≤y≤10}
(f) {(x,y)∈R2:x>0,x2+y2≤10}
(a) The domain closed and bounded.
(b) The domain bounded.
(c) The domain closed.
(d) The domain bounded.
(e) The domain closed and bounded.
(f) The domain closed and bounded.
In this question, we have been given some domains.
We need to check which domains are closed and which are bounded.
A domain of function is said to be closed if the region R contains all boundary points.
A bounded domain is nothing but a domain which is a bounded set.
(a) {(x,y)∈R2:x^2+y^2≤1}
The domain of x^2+y^2≤1 contains set of all points (x, y) ∈R2
so, the domain closed and bounded.
(b) {(x,y)∈R2:x2+y2<1}
The domain of x^2+y^2 < 1 contains set of all points (x, y) ∈R2
so, the domain is bounded.
(c) {(x,y)∈R2: x ≥ 0}
The domain of x ≥ 0 is R2 - {x < 0}
So, the domain is closed.
(d) {(x, y) ∈ R2 : x > 0,y > 0}
The domain is R2 - {(x, y) ≥ 0}
So, the domain is bounded.
(e) {(x, y) ∈ R2 : 1 ≤ x ≤ 4, 5 ≤ y ≤ 10}
The domain is closed and bounded.
(f) {(x,y)∈R2:x>0,x^2+y^2≤10}
The domain is closed and bounded.
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what is the slope of (0,5) (2,0)
cnnbc recently reported that the mean annual cost of auto insurance is 1007 dollars. assume the standard deviation is 241 dollars. you take a simple random sample of 99 auto insurance policies. find the probability that a single randomly selected value is less than 971 dollars.
Using the normal distribution, the probability that a single randomly selected value is less than 971 dollars is 0.2123.
In the given question,
CNNBC recently reported that the mean annual cost of auto insurance is 1007 dollars.
The standard deviation is 241 dollars.
We take a simple random sample of 99 auto insurance policies.
We have to find the probability that a single randomly selected value is less than 971 dollars.
From the question,
Mean = 1107 dollars
Standard Deviation = 241 dollars
So the probability that a single randomly selected value is less than 971 dollars.
Using the normal distribution
z = (x−mean)/Standard Deviation
P(x<971) = P(z<(973−1107)/241)
Simplifying
P(x<971) = P(z<(−134)/241)
P(x<971) = P(z<−0.56)
P(x<971) = 0.2123
Hence, the probability that a single randomly selected value is less than 971 dollars is 0.2123.
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TELL WHETHER THE TRIANGLE IS A RIGHT TRIANGLE
Answer:
use Pythagorean theorem
Step-by-step explanation:
:)
a^2+b^2=c^2 if equal triangle is right!
Answer:
7. No. 8. Yes.
Step-by-step explanation:
Use the pythagorean theorem.
\(a^{2} + b^2 = c^2\)
Where a and b are legs and c is the hypotenuse.
7.
\(3^2 + 7^2 \neq \sqrt{57}^2 \\9 + 49 = 58 \neq 57\)
So it isn't a right triangle.
8.
\((5\sqrt{5})^2 = 11^2 + 2^2\\(\sqrt{125})^2 = 121 + 4\\125 = 125\)
So this is a right triangle.
can someone help with question 19
Answer:
48. 192
Step-by-step explanation:
In order to get from 3/4 to 3/16, one way would be to divide by 4. Another way is to multiply 3/4 by 1/4.
You can test whether multiplying by 4 works by multiplying 3/4 by 4 and 3 by 4.
When 3/4 is multiplied by 4, it would equal 12/3 which will simplify to 3. This can be done again with 3*4=12.
So the answer would be 12*4 = 48 and 48*4 = 192.