The perimeter of the rectangle is P = (17.2x₊16.4).
Given that,
Length, l = 8.6x₊3
Width, b = 5.2
In the formula P=2l+2w, where l is the rectangle's length and w is its width, the perimeter P of a rectangle is determined. Using the formula A=l×w, where l is the length and w is the width, we can determine the area A of a rectangle.
We need to find the expression for the perimeter of the rectangle. The formula for the perimeter of the rectangle is given by :
P=2(l₊b)
Putting values of l and b in the above formula:
p = 2(8.6x ₊ 3 ₊ 5.2)
= 2(8.6x ₊ 8.2)
= 2(8.6x) ₊ 2(8.2)
= 17.2x ₊ 16.4
So, the required perimeter of the rectangle is 17.2x₊16.4.
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Help due in an hour and I am confused
Answer:
48 degree
Step-by-step explanation:
Angle EFD=Angle EGD=42 degree
Angle EFG=90 degree
Angle DFG=Angle EFG- Angle EFD=90 degree-42 degree=47 degree
Answer:
m∠DFG = 48°
Step-by-step explanation:
Angles in a semicircle Theorem
The angle at the circumference in a semicircle is 90°
Therefore, if EOG is the diameter of the circle, then
m∠EDG and m∠EFG are both 90°
As the sum of the interior angles of a triangle is 180°
m∠EDG + m∠EGD + m∠DEG = 180°
⇒ 90° + 42° + m∠DEG = 180°
⇒ m∠DEG = 48°
As the angles at the circumference subtended by the same arc are equal, (i.e. angles in the same segment are equal) then
m∠DFG = m∠DEG = 48°
The graph of g(x) is the result of translating the graph of f(x) = (1/2)^x three units to the left. What is the equation of g(x)
○ g(x) = (2-³
● g(x) = [-1-}***
○_g(x) = (--)* - 3
○ g(x) = 2*+3
In order to move the graph 3 units to the left, then g(x) = (1/2)⁽ˣ⁺³⁾.
What is meant by exponential functions?When a positive constant other than 1 is raised to a variable exponent, the function is said to be exponential. Solving at a certain input value yields the evaluation of a function. If you know the growth rate and the starting point, you can find an exponential model.
When a constant is added to the exponent of a constant in the case of exponential functions, the graph is shifted. The first formula, f(x), is:
f(x) = (1/2)ˣ
When horizontal shifting is occurring, the equation be:
y = Cˣ⁺ᵃ
If an is greater than zero, the graph shifts to the left by a number of units. The graph swings to the right and by an amount equal to a units if an is negative. In order to move the graph 3 units to the left, then:
g(x) = (1/2)⁽ˣ⁺³⁾
Therefore, the correct answer is option B. g(x)=1/2^x+3
The complete question is:
The graph of g(x) is the result of translating the graph of f(x) = three units to the left. What is the equation of g(x)?
A. g(x)=1/2^x-3
B. g(x)=1/2^x+3
C. g(x)=1/2^x -3
D. g(x)=1/2^x +3
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A rectangular pyramid has a height of 6 units and a volume of 40 units3. Shannon states that a rectangular prism with the same base area and height has a volume that is three times the size of the given rectangular pyramid. Which statement explains whether Shannon is correct?
A rectangular prism in which BA = 20 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.
A rectangular prism in which BA = 6.67 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.
A rectangular prism in which BA = 6.67 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.
Answer:
The first statement is true so Shannon is incorrect.
Step-by-step explanation:
Volume of the pyramid with base 20 and h = 6
= 1/3 * base area * height
= 1/3 * 20 * 6
= 40 unit^3.
Find the equation of the line that is parallel to the given line and passes through the given point.
y = 0.8x − 1; (−5, 8)
Answer:
y = 0.8x +12
Step-by-step explanation:
parallel line means it has similar gradient m= 0.8
Y = MX + C
just substitute the coordinate (-5,8) to find the variable c
8 = 0.8(-5) + C
C = 12
our answer is y = 0.8x + 12
If z = 5+4i, then what is zz? Select one: a. =5²+4²₁. O b. 4(5)+5(4). O c. 52+41². O d. 5²+4² Clear my choice
The correct choice for zz, when z = 5 + 4i, is (a) 5² + 4², which simplifies to 41. This can be obtained by multiplying z by itself and simplifying the expression.
To calculate zz, we need to multiply z by itself. Given that z = 5 + 4i, we can substitute this value into zz as follows:
zz = (5 + 4i)(5 + 4i)
Using the FOIL method (First, Outer, Inner, Last), we can expand the product:
zz = 5(5) + 5(4i) + 4i(5) + 4i(4i)
Simplifying further:
zz = 25 + 20i + 20i + 16(i²)
Since i² is defined as -1, we can substitute this value:
zz = 25 + 20i + 20i + 16(-1)
Combining like terms:
zz = 25 + 40i - 16
zz = 9 + 40i
Therefore, the correct choice is (a) zz = 5² + 4², which simplifies to 25 + 16 = 41.
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Find the slope of the line described by 2x − 5y = −10.
Answer:
2/5 is the slope
Step-by-step explanation:
Answer: y= \(\frac{2}{5}x + 2\) would be the equation the slope would be 2/5x
Abdul drives at a speed of 60 miles per hour.
He has covered 180 miles so far.
Which equation shows how to calculate the number of hours Abdul took to cover this
distance
180 miles = 60 miles per hour x number of hours Abdul
drove
180 miles = 60 miles per hour : number of hours Abdul
drove
Number of hours Abdul drove = 60 miles per hour x 180
miles
180 miles - 60 miles per hour = number of hours Abdul
drove
O
Answer:
Step-by-step explanation:
Option 1 : 180 miles = 60 miles per hour x number of hours Abdul
drove is the correct answer.
We have a boy named Abdul who drives at a speed of 60 miles per hour and he has covered 180 miles so far.
We have to find out which equation shows how to calculate the number of hours Abdul took to cover this distance.
What is the formula of measuring the distance travelled by the body?Distance travelled by the body is given by = speed of the body x time taken to cover that distance.
d = s x t
In the question given to us - d = 180 miles and s = 60 miles/hour.
Lets assume the time taken by Abdul be n.
We know -
d = s x t
180 = 60 x n
Hence, Option 1 : 180 miles = 60 miles per hour x number of hours Abdul
drove is the correct answer.
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can i get some help lol?
Answer:
48 miles
Step-by-step explanation:
36/3 = 12.
12 = 1/4 of the way home
12 x 4 = 48
The total length is 48 mi.
Write an explicit formula for the following sequences.
-4, -6, -8, -10...
Answer:
tn=-2n-2
hope this helps :)
Draw a sketch of a right angle triangle prism with length 5cm, 12 cm , 13cm and a base length of 20 cm?.
Answer:
Total Surface Area Atot = 790.331 cm2
Lateral Surface Area Alat = 611 cm2
Top Surface Area Atop = 89.6657 cm2
Bottom Surface Area Abot = 89.6657 cm2
Step-by-step explanation:
2. What is the angle measured on the protractor?
A. 135
B. 145
C. 180
D. 45
pls help me with this question
Answer:
32 cm
Step-by-step explanation:
The volume of the container is:
V= area of the base * the heigth
Since the container has a rectangular base the area of it is:
A = length * width
Let L be the missing length
A = L * 10
V = 10* 25 * L
The container can hold 8 Liters when it's completely full to its brim.
8 liters is 8000 cm^3 ( multiply by 1000)
8000 = 10*25*L
8000 = 250 *L
L = 8000/250
L = 32 cm
v=8litres which is 8 × 1000
l=?
b=10
h=25
since, v=lbh (volume of cuboid)
8000=l × 10 × 25
l=8000/250
l=32
therefore the length is 32cm
A student states that a triangle can be formed with side lengths 4 in, 5 in, and 8 in. Is the student correct? Why, or why not?
A) Yes, because 4 + 5 > 8
B) Yes, because 5 + 8 > 4
C) No, because 4 + 5 > 8
D) No, because 5 + 8 > 4
Answer: Yes, because 4 + 5 > 8
Step-by-step explanation: The sum of 4 + 5 must be more than 8 to be a triangle
Answer:
The answer is A) Yes, because 4 + 5 > 8
Step-by-step explanation:
I got it right loves <3
If point H(7,-4) is translated 3 units down and 6 units right, what are the coordinates of the translated image?
Answer:
H'(13, -1)
Step-by-step explanation:
3 units down ==> y coordinate increases by 3 units
6 units right => x coordinate increases by 6 units
So point H(7, -4) -> H'(7 + 6, -4 + 3) = H'(13, -1)
In a system of N gas molecules, the individual speeds are v7, V2, ..., VN. The rms speed of these molecules is: ov + 12 + ... + x)2/N (v + v + ... + v)/N ovv+ v + - + vx O V[(v + V2 + ... + vx)/N]" i vì + vị++ v
Here we have to find the root mean square (rms) speed of a system of N gas molecules, where the individual speeds are represented by v1, v2, ..., vN.
The rms speed is calculated as the square root of the average of the squared speeds. To compute the rms speed, we need to sum the squares of the individual speeds and divide it by the total number of molecules, N. Then, we take the square root of the resulting value. In equation form, the rms speed is given by: v(rms) = \(\sqrt{\frac{(v1^2 + v2^2 + ... + vN^2)}{N} }\). Here, we square each individual speed, sum them together, divide by N, and take the square root of the resulting value. The rms speed is a measure of the average speed of gas molecules in a system. It is commonly used in physics and thermodynamics to describe the kinetic energy of gas particles and their behavior in various systems.
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Topology question. Answer only subpart a. Need Asap.
3. Let (X, Jx) and (Y, Ty) be topological spaces defined as follows: X = {D, O, R, K} Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X} Y = {M, A, T, H} Jy = {0, {M}, {M, A}, {M, A, T}, Y} (a) Let E= {0, K
Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.
To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.
In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.
In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.
In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.
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What’s the answer hurry
Answer:
y=12x
Step-by-step explanation:
According to the table
48=12(4) which is true
60=12(5) which is true
96=12(8) which is true
Answer:
12, 60/5 is 12, 48/4 is 12, 96/8 is 12
The difference of a number and its successor
Answer:
1
Step-by-step explanation:
The difference between a number and its successor is 1
Please help me I am really confused and need help with this.
Answer:
Step-by-step explanation:
y=10
Sketch the region of integration and evaluate the following integral, using the method of your choice. Double integration root x^2 + y^2 dydx Sketch the region of integration. Choose the correct answer below. Double integration root x^2 + y^2 dydx= (Type an exact answer, using pi as needed)
The double integral of √(x²+y²) over the circle with radius 1 centered at the origin is 2π/3.
The region of integration in the Cartesian plane is a circle centered at the origin and with radius one. We have to compute the integral of the function sqrt(x² + y²) over this region.
Here's how to do it using polar coordinates. The region of integration is a circle of radius 1 centered at the origin, so we use the following polar coordinates:
x = r cosθ, y = r sinθ and integrate over r from 0 to 1 and θ from 0 to 2π.
Thus, we can find the solution for double integration of root x² + y² by using the polar coordinates. r: 0 to 1, θ: 0 to 2π
= ∫∫√(x²+y²) dy dx
= ∫_(0)^(2π)∫_(0)^(1)√(r²(rdrdθ)
=∫_(0)^(2π)∫_(0)^(1)r²drdθ
Similarly,
= ∫∫√(x²+y²)dydx
= ∫_0^(2π) [ r³/3 ] (0)^(1) dθ
= 2∫_0^(π/2) [ r³/3 ] (0)^(1) dθ
= 2(1/3) [ θ ] _(0)^(π/2)
= 2π/3.
Therefore, the double integral of √(x²+y²) over the circle with radius 1 centered at the origin is 2π/3.
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Complete question is,
Sketch the region of integration and evaluate the following integral, using the method of your choice. Double integration root x^2 + y^2 dydx Sketch the region of integration. Choose the correct answer below. Double integration root x^2 + y^2 dydx= (Type an exact answer, using pi as needed).
2.4. how many flags can we make with 7 stripes, if we have 2 white, 2 red, and 3 green stripes?
There are 1716 different flags that can be made with 7 stripes, consisting of 2 white, 2 red, and 3 green stripes using the formula for combinations with repetition.
We can use the formula for combinations with repetition to solve this problem
n = total number of items (stripes)
r₁ = number of items of type 1 (white stripes)
r₂ = number of items of type 2 (red stripes)
r₃ = number of items of type 3 (green stripes)
The formula is
C(n+r₁+r₂+r₃-1, r₁+r₂+r₃-1) = C(7+2+2+3-1, 2+2+3-1) = C(13, 6) = 1716
Therefore, we can make 1716 different flags with 7 stripes if we have 2 white, 2 red, and 3 green stripes.
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what is the measure of the base of the rectangle if the area of the triangle is 28ft2
Answer:56
Step-by-step explanation:
using f notaion, indentify f-value having area 0.975 to its left
The f-value having an area of 0.975 to its left is the critical value of the F-distribution with degrees of freedom (df1 = 1, df2 = infinity) or (df1 = infinity, df2 = 1). This value is approximately 3.84.
The F-distribution is a probability distribution that arises in the analysis of variance (ANOVA) and other statistical tests. It is a continuous distribution that takes values greater than or equal to zero. The distribution has two parameters, the degrees of freedom (df1 and df2), which depend on the sample sizes and the number of groups in the ANOVA.The critical value of the F-distribution is the value that separates the rejection region (where the null hypothesis is rejected) from the non-rejection region (where the null hypothesis is not rejected). The critical value depends on the level of significance (alpha), which is usually set at 0.05 or 0.01, and the degrees of freedom.
In this case, we want to find the critical value of the F-distribution with an area of 0.975 to its left. This means that the area to the right of the critical value is 0.025. Using a table of the F-distribution or a statistical software, we can find that the critical value with (df1 = 1, df2 = infinity) or (df1 = infinity, df2 = 1) is approximately 3.84. Therefore, if the calculated F-value is greater than 3.84, we can reject the null hypothesis with a significance level of 0.05 and conclude that there is a significant difference between the groups in the ANOVA.
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find the missing angle
please help
Answer:
48
Step-by-step explanation:
91+41+?=180
91+41=132
180-132=48
i’ll give brainliest.
Answer:
$7.39 per mug before sale price
Step-by-step explanation:
Divide $28.20 by 5 = 5.64
5.64 plus 1.75 equals $7.39.
Each mug was $7.39 before the sale.
does anybody know the answer?
Answer:
while answering this my brain stop working so i had to think fast so i remove my brain put some soil inside to light it up problem not solve im an alpha kid
do I have to multiply 3.5x2,000
Answer:
Yes, 7000 Pounds
Step-by-step explanation:
3.5 × 2000
PLEASEEEEEEE HELLLPPPPPPPPP EMERGENT
Answer:
She worked four hours and earned 36 dollars
Step-by-step explanation:
Answer:
it shows that when she works for 4 hours, she earns 36 dollars!!
Step-by-step explanation:
A single card is drawn from a standard deck of cards. Find the following probabilities.
A face card is a jack, queen, or king.
P(face card | queen)
P(three | not a face card)
The Probability of drawing a three given that the card is not a face card is 1/9.
In summary:
- P(face card | queen) = 1/13
- P(three | not a face card) = 1/9
The probabilities, we need to consider the total number of favorable outcomes and divide it by the total number of possible outcomes.
1. P(face card | queen):
A face card is a jack, queen, or king. There are four queens in a standard deck of 52 cards. So the total number of favorable outcomes is 4 (there are four queens in the deck). The total number of possible outcomes is 52 (the total number of cards in the deck).
P(face card | queen) = Number of favorable outcomes / Total number of possible outcomes
= 4/52
= 1/13
Therefore, the probability of drawing a face card given that the card is a queen is 1/13.
2. P(three | not a face card):
A face card is a jack, queen, or king. So not a face card includes all the other cards in the deck except for jacks, queens, and kings. There are 12 cards of each suit, and there are four suits in a deck. So the total number of not face cards is (12-3) * 4 = 9 * 4 = 36.
The total number of favorable outcomes is the number of threes in the deck, which is four.
P(three | not a face card) = Number of favorable outcomes / Total number of possible outcomes
= 4/36
= 1/9
Therefore, the probability of drawing a three given that the card is not a face card is 1/9.
In summary:
- P(face card | queen) = 1/13
- P(three | not a face card) = 1/9
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FREE BRAINLiest IF YOU ANSWER CORRECTLY!!(jwo26)
Answer:
what is the question? u do not say
Answer:
Whats the question?
Step-by-step explanation: