Cancel the mile and kilometer units. Multiply 8 by 1.61, then multiply by 1000.
The correct option is (B).
What is fraction?A fraction is a part of a whole. The number is expressed as a quotient, in which the numerator is divided by the denominator.
Given:
8 miles / 1 × 1.61 km / 1 mile × 1000 meters / 1km
Now, the unit Km and miles will be cancel out
=8 miles / 1 × 1.61 km / 1 mile × 1000 meters / 1km
= (8 / 1 ) × (1.61 / 1 ) × (1000 meters / 1)
= 8 × 1.61 × 1000 meters
Now, Multiply 8 by 1.61, then by 1000
=8 × 1.61 × 1000 meters
= 12,880 meters
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Colin needs to make 18 dozen cookies for a bake sale. The recipe he plans to use makes 6 dozen cookies and requires cup of sugar. A 5-
pound bag of sugar holds 12 cups and costs $3.60. About how much will the sugar cost to make 18 dozen
Answer:
OK
Step-by-step explanation:
In an endurance race, Alyson rode her bicycle 7 miles less than Jeff. Together they rode 39 miles. How far did Alyson ride?
Answer:
Distance cover by Alyson = 16 miles
Step-by-step explanation:
Given:
Distance cover together = 39 miles
Assume;
Distance cover by Jeff = a
Distance cover by Alyson = a - 7
Find:
Distance cover by Alyson
Computation:
a + (a - 7) = 39
2a - 7 = 39
2a = 46
a = 23
Distance cover by Alyson = a - 7
Distance cover by Alyson = 23 - 7
Distance cover by Alyson = 16 miles
let a be a symmetric matrix. suppose u is an eigenvector of a corresponding to eigenvalue 3, v is an eigenvector of a corresponding to eigenvalue 10, then u must be orthogonal to v. true or false?
Yes the statement that is assume that an is a symmetric matrix. If v and u are eigenvectors of the same matrix with eigenvalues of 3 and 10, respectively, then u must be orthogonal to v is true.
A scalar matrix is a type of diagonal matrix. Diagonal elements of a scalar matrix are equal or equal. If the elements of a scalar matrix are all ones, then it is an identity matrix.
A square matrix A = [aij]n x n is called a scalar matrix.
aij = 0 if i ≠ j
aij = k (for i = j), for some constant k
Facts about scalar matrix :
A scalar matrix is a square matrixA scalar matrix is a diagonal matrixAll identity matrices are scalar matrixEigenvectors are a special set of vectors associated with a linear system of equations
If suppose u is an eigenvector of a corresponding to eigenvalue 3, v is an eigenvector of a corresponding to eigenvalue 10, then u must be orthogonal to v .
u.v=0.
So therefore the statement is true for the given data.
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Determine the vertical intercept
please help it due asap
Answer:
c.29
Step-by-step explanation:
Your equation is 3x+18+75=180
Then, you combine like numbers so 75+18 so your equation is now 3x+93=180
Next, you subtract the 93 and get 3x=87
Finally, divide 87 by 3 to get x=29!!
Hope this helps have a great day :)
1. Should there be a global effort to sharply reduce the cutting and burning of old-growth forests? Cite your references to support your claim.
2. If A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,PQ,,R,S,T,U,V,W,X,Y,& Z Equals 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27, & 28% respectively. Which makes ____ safe behavior which is your best choice both ON and OFF the job
Should there be a global effort to sharply reduce the cutting and burning of old-growth forests?
Yes, there should be a global effort to sharply reduce the cutting and burning of old-growth forests. Old-growth forests are vital ecosystems that provide numerous environmental, social, and economic benefits. They are home to diverse species, including endangered ones, and play a crucial role in carbon sequestration, mitigating climate change, and preserving biodiversity.
Cutting and burning old-growth forests contribute to deforestation, habitat loss, and greenhouse gas emissions. It disrupts ecosystems, threatens species survival, and exacerbates climate change. Protecting old-growth forests is essential for maintaining ecological balance and promoting sustainable development.
Numerous references and scientific studies support the importance of preserving old-growth forests. Some relevant sources include:
"The Importance of Old-Growth Forests" by the World Wildlife Fund (WWF): https://www.worldwildlife.org/initiatives/old-growth-forests
"Old-growth forest protection: A key tool in fighting climate change" by The Nature Conservancy: https://www.nature.org/en-us/what-we-do/our-insights/perspectives/old-growth-forest-protection-fighting-climate-change/
"Old-Growth Forests: Function, Fate and Value" by the United Nations Environment Programme (UNEP): https://www.unep-wcmc.org/resources-and-data/old-growth-forests-function-fate-and-value
These resources provide comprehensive information on the importance of old-growth forest conservation and the need for global efforts to reduce cutting and burning practices.
The question provided seems incomplete and unclear. It mentions a relationship between letters of the alphabet and percentages but does not provide any context or options to choose from. Please provide more information or clarify the question, and I'll be glad to assist you further.
If (5,k) is a solution of the equation 2x+y=-7=0, Find the value of k.
k = -3
Step-by-step explanation:
2x + y - 7 = 0
2x + y + k - 7 = 0
10 + k - 7 = 0
3 + k = 0
k = -3
Answer:
k = -17
Step-by-step explanation:
Substitute the solution (5, k) into the equation :
2x + y = -7 = 02x + y + 7 = 02(5) + k + 7 = 017 + k = 0k = -17CAN SOMEONE PLEASE HELP ME
Ms. Brown is preparing for an upcoming project in her art class. The students will be making paper mâché bowls and flowers. To prepare for the lesson, Ms. Brown needs to make the glue mixture that her students will be using. The mixture includes flour, water, and salt. For every 2 cups of flour she uses in the mixture, she also adds 5 cups of water and 1 tablespoon of salt.
Which statements are correct about the glue mixture?
Select the three correct statements.
A
There is 1 tablespoon of salt for each cup of water in the mixture
B
There are
2/5 cups of flour for each cup of water in the mixture.
C
There are 5/2 cups of flour for each cup of water in the mixture.
D
There is 1/2 tablespoon of salt for each cup of flour in the mixture.
E
There are 2/5 cups of water for each cup of flour in the mixture.
F
There are 5/2 cups of water for each cup of flour in the mixture.
Answer:
A. There is 1 tablespoon of salt for each cup of water in the mixture.
B. There are 2/5 cups of flour for each cup of water in the mixture.
D. There is 1/2 tablespoon of salt for each cup of flour in the mixture.
Step-by-step explanation:
A. Mentioned in the question.
B. 5 ÷ 5 = 1 cup of water
2 ÷ 5 = 2/5 cups of flour
D. 2 ÷ 2 = 1 cup of flour
1 ÷ 2 = 1/2 a cup of water
When testing a right-tailed hypothesis using a significance level of 0.025, a sample size of n=13, and with the population standard deviation unknown, what is the critical value? H0: u≥2 hours and H1:u<2 hours H0:u<2 hours and H1:u≥2 hours H0:u=2 hours and H1:u=2 hours H:u≤2 hours and H1:u>2 hours
The correct answer is a. H0: u≥2 hours and H1:u<2 hours. When testing a right-tailed hypothesis using a significance level of 0.025, a sample size of n=13, and with the population standard deviation unknown, the critical value is as follows:
To determine the critical value, we need to use the t-distribution since the population standard deviation is unknown.
Using a t-distribution table or calculator with 12 degrees of freedom (n-1), a one-tailed test, and a significance level of 0.025, the critical value is 2.1604.
If the test statistic is greater than or equal to this value, we can reject the null hypothesis in favor of the alternative hypothesis, which is a right-tailed hypothesis.
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I REALLY NEED HELP!! Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.
a
Yes, it is a proportional relationship because the graph goes through the origin
b
Yes, it is a proportional relationship because the graph is a straight line
c
No, it is not a proportional relationship because the graph is not a straight line
d
No, it is not a proportional relationship because the graph does not go through the origin
Answer:
d) No, it is not a proportional relationship because the graph does not go through the origin
Step-by-step explanation:
A proportional relationship has to pass through the origin (0,0)
What is the value of the expression 2x^3 y when x = -2 and y = 3?
Hey there!
2x^3y
= 2(-2)^3(3)
= 2(-3)^9
-2^9
= (-2)^9
= -2 * -2 * -2 * 2 * -2 * -2 * 2 * -2 * -2
= 4 * 4 * 4 * 4 * -2
= 16 * 16 * 2
= 256 * -2
= -512
= -2(-512)
= -1,024
Therefore, your answer is: -1,024
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
hi, can you please help me?
solve for EF
Answer:
I wish you and your family a very happy makar Sankranti ! May you are filled with extreme joy and happiness start a new year with great enthusiasm and positivity. ♥️
Answer:
see below
Step-by-step explanation:
ED = 2 units
DF = 7 units
EF^2 = 2^2 + 7^2
EF^2 = 4 + 49
EF^2 = 53
EF = 7.28
help me with the fonction please im stuck U_U
Answer:
It is NOT a function
Step-by-step explanation:
No it is NOT a function.....each value of x can only have one y value....
this has two y values for x = 2 : y = 2 and 4 therefore not a function
apply the distributive property to write an equivalent expression
4(2+w)
What are all of the factor pairs for 18?
Answer:
e
Step-by-step explanation:
because it iiiiiiiiiiiiiiis
Answer:
\(\huge\boxed{Factor \ Pairs \ Of \ 18 \hookleftarrow}\)
\(1 \times 18 = 18 \\ 2 \times 9 = 18 \\ 3 \times 6 = 18 \\ 6 \times 3 = 18 \\ 9 \times 2 = 18 \\ 18 \times 1 = 18\)
⎆ So, the factor pairs are :-
1, 182, 93, 6 (option E)# ꧁❣ RainbowSalt2²2² ࿐
You want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long must you invest that money to earn $500 in interest?
A) 1.25 years
B) 2.5 years
C) 5 years
D) 20 years
Answer:c
Step-by-step explanation:
Answer: C) 5 years
Step-by-step explanation:
Formula for the simple interest is: I = P * r * t, where: I = $500, P = $2,500, r = 0.04 and t stays for the number of the years. 500 = 2,500 * 0.04 * t; 500 = 100 * t; t = 500 : 100; t = 5.
The points V(-6,2)(−6,2), W(-6,-7)(−6,−7), and X(1,-3)(1,−3) form a triangle. Plot the points then click the "Graph Triangle" button. Then find the perimeter of the triangle. Round your answer to the nearest tenth if necessary.
Applying the distance formula, the perimeter of triangle VWX to the nearest tenth is: 25.7 units
What is the Perimeter of a Triangle?
Perimeter is defined as the distance or the enclosed path that surrounds the 2-D shapes or polygon. The perimeter of a triangle is the sum of all the three sides of a triangle.
Find the length of each sides of triangle EFG using the distance formula, d = √[(x2-x1)²+(y2-y1)²]
Given the coordinates of vertex of triangle :
V(-8,1)
W(1,1)
X(-3,8)
Using the distance formula:
length of side VW :
VW = √[(1−(1))² + (1−(-8))²]
VW = √81
VW = 9 units
length of side WX :
WX = √[(8−1)² + (-3−1)²]
WX = √65 units
WX ≈ 8.1 units
length of side XV :
EG = √[(8-1)² + (-3-(-8))²]
EG = √74
EG ≈ 8.6 units
The perimeter of triangle VWX = 8.1 units + 9 units + 8.6 units ≈ 25.7 units
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Regina's bird feeder holds 2 2/3 cups Regina is filling the bird feeder with a scoop that holds 1/3 of a cup how many scoops of birdseed will regina put into the feeder(help please)
For the following right traingle, find the side length x. Round your answer to the nearest hundredth
Answer:
20
Step-by-step explanation:
(Hypotenuse)²=(Opposite)²+(Adjacent)²
(25)²=(15)²+(A)²
A²=625-225
A=✓400
A=20.00
what's the value of x
Answer:
x = 122°
Step-by-step explanation:
There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .
Exterior angle is an angle formed from one side of the polygone and the extended side so
<A and <B are remot angle and <BCD is exterior angle .
And we write the equetion as
<A + <B = <BCD
58° + 64° = x°
122° = X°
so the exterior angle ( x ) measures 122° .
1. Write each of the following as a sum or a difference of logarithms
a. log(19/20)
b. log9(3 x 8)
2. Each of the following has an error. Identify the error and explain why its wrong
a. log56 + log37 = log542
b. 3 log216 = log2163
= 43
= 64
3. Use the laws of logarithms to simplify the expression S = 10 logl1 - 10logI0
The sum or a difference of logarithms are: a)= log-1 (b) log₉11 2) a) log2072 (b) log10077696 (3) s= 1
What is the sum and difference of logarithm?The logarithm of a product is the sum of the logarithms of the factors being multiplied, while the logarithm of the ratio or quotient of two numbers is the difference of the logarithms. To write the sum or difference of logarithms as a single logarithm, one can use the addition rule, the multiplication rule of logarithm, or the third rule of logarithms that deals with exponents.
the given logarithms are
a. log(19/20)
Applying the law of logarithm to get
log(19-20)
= log-1
b. log9(3 x 8)
log₉3 + log₉8
log ₉(3+8)
= log₉11
2 The logarithm that has error include
a. log56 + log37 = log542
The logarithm is wrong
Applying the law of multiplication we have
log(56*37)
= log2072
b. 3 log216 = log2163
This logarithm is wrong because applying the power law of logarithm
log216³ = log10077696
3) S = 10 logl1 - 10logI0
Using the low of logarithm we have
s= log11¹⁰/log10¹⁰
log(11/10)¹⁰⁺¹⁰
log(1.1)⁰
Any number raised to power zero is 1
therefore s= 1
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Please help meeee!!!!!!
Answer:
23
Step-by-step explanation:
basta isagot mo lamg ah
the altitude of a triangle is increasing at a rate of 2.5 2.5 centimeters/minute while the area of the triangle is increasing at a rate of 2.5 2.5 square centimeters/minute. at what rate is the base of the triangle changing when the altitude is 8 8 centimeters and the area is 81 81 square centimeters?
According to the question The rate at which the base is changing is 0 cm/min, as it remains constant.
To solve this problem, we can use the relationship between the area, altitude, and base of a triangle. The formula for the area of a triangle is given by:
Area = (1/2) * base * altitude
We are given that the altitude is increasing at a rate of 2.5 centimeters/minute and the area is increasing at a rate of 2.5 square centimeters/minute. We need to find the rate at which the base is changing.
Let's denote the altitude as h, the base as b, and the area as A. We have the following equations:
dA/dt = (1/2) * b * dh/dt (differentiating the area equation with respect to time)
dh/dt = 2.5 cm/min (given)
dA/dt = 2.5 cm^2/min (given)
Now we can substitute the given values into the equations and solve for db/dt, the rate at which the base is changing:
2.5 = (1/2) * b * 2.5
2.5 = 1.25b
b = 2 cm
So, when the altitude is 8 centimeters and the area is 81 square centimeters, the base is 2 centimeters. Therefore, the rate at which the base is changing is 0 cm/min, as it remains constant.
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Which is the best interpretation of the solution set for the compound inequality? x – 1 < 2x + 4 or 3(negative StartFraction 3 over 2 EndFraction x minus 1 less than 2 x plus 4 or 3 left-parenthesis StartFraction 2 over 3 EndFraction x plus 1 right-parenthesis less than 11.x + 1) < 11 no solution x > –10 x < 4 all real numbers
The required best interpretation of the solution set for the compound inequality, x - 1 < 2x + 4 or 3(-3/2x - 1) < 2x + 4 or 3(2/3x + 1) < 11
is x > -5 or x < 4
To get this solution set, we first solve each inequality separately, then combine the solutions using "or".
For the first inequality x - 1 < 2x + 4, we can simplify it as:
x > -5
For the second inequality 3(-3/2x - 1) < 2x + 4,
-9/2x - 3 < 2x + 4
-13/2x < 7
x > -14/13
For the third inequality 3(2/3x + 1) < 11, we can simplify it as:
2x + 3 < 11
2x < 8
x < 4
Therefore, the solution set for the compound inequality is:
x >-5 or x < 4
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Factor the trinomial :- 15x^2 19x + 7
The factored form of the trinomial -15x^2 + 19x + 7 is (2x + 7)(-8x - 1).
The given trinomial is: -15x^2 + 19x + 7.
To factor this trinomial, we can use the factoring method called "AC method" or "Splitting the Middle Term."
Step 1: Multiply the coefficient of the leading term (-15) by the constant term (7). This gives us -105.
Step 2: Find two numbers whose product is -105 and whose sum is equal to the coefficient of the middle term (19). In this case, the numbers are -7 and -15, because (-7) * (-15) = 105 and (-7) + (-15) = -22.
Step 3: Rewrite the middle term (19x) using the two numbers found in step 2. The trinomial becomes:
-15x^2 - 7x - 15x + 7
Step 4: Group the terms in pairs and factor out the greatest common factor from each pair. This gives us:
(-15x^2 - 7x) + (-15x + 7)
Step 5: Factor out the common terms from each pair. This gives us:
-8x(2x + 7) - 1(2x + 7)
Step 6: Notice that we now have a common binomial factor, (2x + 7). Factor this out, and we get:
(2x + 7)(-8x - 1)
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A circle graph has five
sections. Only four sections
are labeled. The labels are
11%, 18%, 15%, and 7%. What
should the missing section
be?
Answer:
the missing section is 49%
Step-by-step explanation:
11 + 18 + 15 + 7= 51
51 + 49 = 100
add the percentages together and you get 100%
Let x² + 15x = 49 . What values make an equivalent number sentence after completing the square? Enter your answers in the boxes.
x² + 15x + = [ ]
Answer:
Step-by-step explanation:
15/2 = 7.5 and (7.5)^2 = 56.25 so
x^2 + 15x + 56.25 = 49 + 56.25
x^2 + 15x + 56.25 = 105.25.
Answer:
\(x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}\)
\(x^2+15x+\boxed{56.25}=\boxed{105.25}\)
Step-by-step explanation:
General form of a quadratic equation: \(ax^2+bx+c\)
When completing the square, first add the number that is the square of half of \(b\).
Given equation: \(x^2+15x=49\)
Therefore, \(b=15\)
\(\implies \left(\dfrac{b}{2}\right)^2=\left(\dfrac{15}{2}\right)^2=\dfrac{225}{4}\)
So we need to add 225/4 to both sides of the equation:
\(\implies x^2+15x+\dfrac{225}{4}=49+\dfrac{225}{4}\)
\(\implies x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}\)
In decimal form:
\(\implies x^2+15x+\boxed{56.25}=\boxed{105.25}\)
To finish completing the square,
factor the left side of the equation:
\(\implies \left(x+\dfrac{15}{2}\right)^2=\dfrac{421}{4}\)
Finally, subtract 421/4 from both sides:
\(\implies \left(x+\dfrac{15}{2}\right)^2-\dfrac{421}{4}=0\)
In decimal form:
\(\implies (x+7.5)^2-105.25=0\)
1. How would you rewrite this equation?
10 points
(-5)-(-6)
(-5) - (+6)
(5)-(-6)
(-5) + (-6)
(-5) + (+6)
Answer:
-5 + 6
-5 - 6
5 + 6
-5 - 6
-5 + 6
PLS MARK BRAINLIEST!
Pls whoever knows how to do this best answer smart people 100% this geometry work give Brainly pls help
Answer is 24
Step-by-step explanation:
If line LN is equal to 12 and since rhombuses are morrored triangles then LN would be congruent or equal to line JN. Then you would add LN 12
pleasee help me with this i’m being timed
Answer:
I think she is correct
Step-by-step explanation:
in not. sure so dont take my word for it