Answer:
see below
Step-by-step explanation:
Let x be the first integer
x+1 is the next integer
x+2 = next integer
x+3 = last integer
The sum of the 4 integers is -10
x+ x+1 + x+2 + x+3 = -10
Combine like terms
4x+6 = -10
Subtract 6 from each side
4x+6-6 = -10-6
4x = -16
Divide each side by 4
4x/4 = -16/4
x = -4
x+1 = -3
x+2 = -2
x+1 =-1
The integers are -4, -3, -2 ,-1
Radha is trying to choose between two bike rental companies, Comapny A and Company B. Company A charges a $25 initial fee and additional $5 for each hour rented . Company B charges an initial $18 fee and an additional $6
Y is directly proportional to x when x=600 y=10 find a formula for y in terms of x
Answer:
y = x/60
Step-by-step explanation:
y = kx
k = y / x = 10/600 = 1/60
y = x/60
[tex]y[/tex] is directly proportional to [tex]x[/tex] when [tex]x=600[/tex] and [tex]y=10[/tex] then the formula for [tex]y[/tex] in terms of [tex]x[/tex] is given as [tex]y=\frac{1}{60} x[/tex] .
What is directly proportional?We say that, [tex]y[/tex] and [tex]x[/tex] are directly proportional, if [tex]\frac{y}{x} =k[/tex] or [tex]y=kx[/tex].
So,
According to the question;
[tex]x=600[/tex]
[tex]y=10[/tex]
From the above statement;
[tex]\frac{10}{600} =k[/tex]
[tex]k = \frac{1}{60}[/tex] ,
So,
[tex]y[/tex] in terms of [tex]x[/tex] is given by,
[tex]y=\frac{1}{60} x[/tex]
Hence, we can say that [tex]y[/tex] is directly proportional to [tex]x[/tex] when [tex]x=600[/tex] and [tex]y=10[/tex] then the formula for [tex]y[/tex] in terms of [tex]x[/tex] is given as [tex]y=\frac{1}{60} x[/tex] .
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Suppose A is an m × n matrix in which m> n. Suppose also that the rank of A equals n Show that A is one to one. Hint: If not, there exists a vector x such that Ax = 0, and this implies at least one column of A is a linear combination of the others. Show this would require the rank to be less than n.
Step-by-step explanation:
If T:Rn→Rm is a linear transformation and if A is the standard matrix of T, then the following are equivalent:
1. T is one-to-one.
2. T(x) = 0 has only the trivial solution x=0.
3. If A is the standard matrix of T, then the columns of A are linearly independent.
Here, A is a mxn matrix where m ≥ n and the rank of A equals n. It implies that the columns of A are linearly independent, for, otherwise, the rank of A would be less than n. Hence the linear transformation represented by A is one-to-one.
A circle has an area of 49 cm^2. how do I find the circumference?
Answer:
28.81cm
Step-by-step explanation:
c=2TTy
Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Listed below are the measured radiation absorption rates (in W/kg) corresponding to various cell phone models. If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use? 0.83 1.39 1.39 1.03 0.66 1.26 1.39 1.18 1.41 1.19 1.15
Answer:
[tex] Range =1.41-0.66 = 0.75[/tex]
[tex] \bar X = 1.171 W/Kg[/tex]
[tex] s^2 = 0.0607[/tex]
And taking the square root we got the sample deviation:
[tex] s = \sqrt{0.0607}= 0.246 W/kg[/tex]
Step-by-step explanation:
For this case we have the following datset given:
0.83 1.39 1.39 1.03 0.66 1.26 1.39 1.18 1.41 1.19 1.15
We need to find the range, and the range is defined by:
[tex] Range = Max -Min[/tex]
And replacinng we got:
[tex] Range =1.41-0.66 = 0.75[/tex]
Then we can find the sample variance, but firt we need to find the sample mean with this formula:
[tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]
And replacing we got:
[tex] \bar X = 1.171 W/Kg[/tex]
Now we can find the sample variance with this formula:
[tex] s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}[/tex]
And replacing we got:
[tex] s^2 = 0.0607[/tex]
And taking the square root we got the sample deviation:
[tex] s = \sqrt{0.0607}= 0.246 W/kg[/tex]
a girl was 6 and sister was 2,the girl is now 24,how old is the sister?
Answer:
The sister is 20
Step-by-step explanation:
The sister is 4 years younger than the girl.
92+ 56/14−x =100.
Plz answer fast
Step-by-step explanation:
don't forget about PEMDAS
Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction
first you're going to want to do 56 / 14.
Which graph shows the solution to the system of linear inequalities? 2x – 3y <12 y < –3
Answer:
-3 please brainliest me PLease i expain it too
Step-by-step explanation:
Let's put the equation into point slope for
-3y < -2x + 12
Divide by -3
y < 2/3x - 4
The answer is the first one because the shades are pointing down.
y < -3 means the shade points down y because y is less than -3
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The inequality 2x – 3y <12 and y < –3 is shown in the third graph.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The inequalities are:
2x -3y ≤ 12
y < -3
First, for the second inequality, we can see that y must be strictly less than -3, so we should see a dotted line at y = 3, and a shaded section under that line.
From this, we can discard the second graph (the middle one).
The first inequality can be rewritten as:
2x - 3y ≤ 12
-3y ≤ 12 - 2x
Now we divide by -3 into both sides, as we are dividing by a negative number, the direction of the ≤ sign changes:
y ≥ (12/-3) + (-2/-3)x = -4 + (2/3)*x
This means that the shaded section must be above the line:
y = -4 + (2/3)*x
Therefore, the inequality 2x – 3y <12 and y < –3 is shown in the third graph.
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sec²θ=4+2tan²θ
Find θ
Recall the Pythagorean identity,
[tex]\sec^2\theta=1+\tan^2\theta[/tex]
So we have
[tex]\sec^2\theta=4+2\tan^2\theta[/tex]
[tex]1+\tan^2\theta=4+2\tan^2\theta[/tex]
[tex]-3=\tan^2\theta[/tex]
But squaring any real number always gives a non-negative number, so there are no real solutions to this equation.
what two numbers have a GCF of 5 and a LCM of 50
Answer:
10 and 5
Step-by-step explanation:
How do I find a radius of a can?
Answer:
Several ways, take the diameter and divide it by half.
Take the circumference "C" and r = C/2π
Step-by-step explanation:
Triangle ABC work out area of triangle
Answer:
Step-by-step explanation:I don't say you must have to mark my ans as brainliest but my friend if it has really helped you plz don't forget to thank me...
Answer:
2.5*4.6*0.5
= 2.5*2.3
= 5.75
Rounded to one decimal = 5.8
Someone please help me with this :3
Answer:
2
Step-by-step explanation:
[tex]\dfrac{\frac{2}{3}}{\frac{1}{3}}=\frac{2}{3}\cdot \frac{3}{1}=\frac{6}{3}=2[/tex]. Hope this helps!
Answer:
2/3 divided by 1/3
Multiply the reciprical
2/3 x 3/1 = 6/3
6/3=2
2 is your answer
Step-by-step explanation:
Please help me?? I am struggling and i need help :?/
I will mark you as the brainliest and i will give you points :)
Answer:
ZYX- CBA
Step-by-step explanation:
ZYX is backwards
so cba needs to be too
Answer:
ZYX-CBA
Step-by-step explanation:
welcome
What is the value of k in the product of powers below?
10 Superscript negative 3 Baseline times 10 times 10 Superscript k Baseline = 10 Superscript negative 3 Baseline = StartFraction 1 Over 10 cubed EndFraction
k=2
Step-by-step explanation:
since all the base are 10 you use the powers to solve it.
so it would be -3+1+k=-3=-3
Answer:
k = -1
Step-by-step explanation:
I did the test, good luck! :)
9. Mark drinks one cup of coffee everyday. He orders a coffee from Dunkin Donuts and it costs him $3.50 everyday. He is starting to think that he might buy a Keurig and k-cups instead. The Keurig is $150 and each k-cup costs $0.50. How many cups of coffee will it take for the cost at Dunkin Donuts to be the same as having a Keurig and k-cups?
Answer: 50 cups of coffee
Step-by-step explanation:
Let x represent the number of cups of coffee that it will take for the cost at Dunkin Donuts to be the same as having a Keurig and k-cups.
He orders a coffee from Dunkin Donuts and it costs him $3.50 everyday. It means that the cost of ordering x cups would be 3.5x.
The Keurig is $150 and each k-cup costs $0.50. It means that the cost of ordering x cups would be 150 + 0.5x.
For the ordering cost to be the same, it means that
3.5x = 150 + 0.5x
3.5x - 0.5x = 150
3x = 150
x = 150/3
x = 50
leroy draws a rectangle that has a length of 11.9 centimiters and a width of 7.6 centimieters.how much longer is the length than the width of leroys rectangle
Answer:
4.3 cm
Step-by-step explanation:
length - width: 11.9 - 7.6 = 4.3
The required answer is 4.3 cm.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Here given that,
He draws a rectangle that has a length of 11.9 cm.
And, a width of 7.6 cm
The required answer is:
length - width: 11.9 - 7.6 = 4.3
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How many solutions does the system formed by x - y = 9 and
ay - ax + 90 = 0 have for a nonzero number a ? Give your answer and
complete the explanation.
a
The system has (select) solution(s). Rearranging the left side of the
2nd equation and subtracting 9a from both sides gives -ax + ay =
Dividing both sides by -a gives x - y = So, the equations describe
the same line.
Answer:
infinite-99Step-by-step explanation:
If you read through the bottom paragraph, you see it concludes with, "the equations describe the same line." This means the system has infinite solutions, because the two lines intersect everywhere.
__
The rest of the solution is described in the paragraph. Starting with the rearranged form
-ax +ay +9a = 0
"subtract 9a from both sides" means you now have ...
-ax +ay +9a -9a = 0 -9a
or
-ax +ay = -9a . . . . . . . . "-9" goes in the first box
__
Now, dividing by -a gives you ...
(-ax)/(-a) +(ay)/(-a) + (-9a)/(-a)
x - y = 9 . . . . . . . . . . . . "9" goes in the second box, confirmed by the following statement that the equations (this, and x - y = 9) "describe the same line".
how many feet of outdoor carpet will we need? 4,4,2,2,2,2,5
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.
Expression A: 0.2p
Expression B: 0.8p
Expression C: 1-0.2p
Expression D: p-0.2p
Expression E: p-0.8p
Which two expression each represent the sale price of the item?
Expression A and E
Expression B and C
Expression B and D
Expression C and D
Answer:
B
Step-by-step explanation:
A girl was 6 and sister was 2,the girl is now 24,how old is the sister
Answer:
20
Step-by-step explanation:
There is 6-2 =4 years between them
24-4 =20
The sister is 20
Answer: 20 years old
Step-by-step explanation: So, we know the girl is 4 years older than the sister...how do we know that? Because...
6 - 2 = 4
She's 4 years older...we know the girl is 24, then the sister must be 20.
24 - 4 - 20...
The sister is 20 years old, I hope this helps
Can anyone plz answer the question?? It's in the photo. Thanks!
Answer:
11 because 10x2=20 and the 220 divided by 20 =11
Step-by-step explanation:
Let the speed of the train going from Boston to New York = X
Let the distance from Boston to when the trains meet = Y
The distance to New York when they meet would be 220 - Y
The Boston to New York train would be: Y = (2X-10)*2
New York to Boston train would be : 220 -Y = 2X
Using substitution:
220-(2X-10)*2 = 2X
Simplify the left side:
220 - 4X+20 = 2X
Add 4x to both sides and combine like terms:
240 = 6X
Divide both sides by 6:
x = 40
Now find distance from Boston by replacing x with 40"
Y = (2(40)-10)*2
Y = 160 -20
Y = 140 miles
This scatter plot shows the data collected by measuring the amount of water in a tank every 15 minutes. What is the equation of the line of best fit?
A: y= -4/3x+120
B: 4/2x+120
C: -3/4x+60
D: -4/3x-60
E: -3/4x-120
Answer:
A: y= -4/3x+120
Step-by-step explanation:
The blue line on the plot has a y-intercept of +120, matching choices A and B only.
The line has a negative slope, matching choice A. If you count grid squares, you find the slope is -40/30 = -4/3, also matching choice A.
Answer:
A: y= -4/3x+120
A recipe calls for one-half of a tablespoon of baking powder for 3 cups of flour. How
many tablespoons of baking powder is needed if 1 cup of flour is used?
A: 1/6
B: 1/4
C: 1/2
D: 1 1/2
Answer:1/4
Step-by-step explanation:
I need help on these 4 chooses.If you are able to help me i would appreciate it because i have been stuck on this for an hour or so.
The First choose is does not/does
The Second choose is 96/216/60
The Third choose is less/more
The Fourth choose is 106.5/194.25/25/50
Answer:
does216more194.25Step-by-step explanation:
If you don't consider how the wood might be cut, or how the tray might be assembled, you can look only at the area requirements.
A tray that is 10.5 inches square will have an area of ...
(10.5 in)^2 = 110.25 in^2
That base will have a perimeter that is 4×10.5 in = 42 in. If the perimeter piece(s) are 2 inches high, the area of the sides of the tray will be ...
(42 in)(2 in) = 84 in^2
Then the total area of wood required for the proposed tray is ...
110.25 in^2 +84 in^2 = 194.25 in^2
__
The area of the wood Stephan has is ...
A = LW = (18 in)(12 in) = 216 in^2 . . . . . . more than required
__
Stephan does have enough wood to make the tray, because he has 216 square inches, which is more than he needs to make the tray, 194.25 square inches.
Ashley mixes two types of soft drinks with different types of concentration: one soft drink has 20% sugar and the other drink has 45% sugar.
Each can has 250 milliliters of soda drink .
What is the sugar concentration of the mixed soft drink
Answer:
32.5% sugar
Step-by-step explanation:
You want to know the sugar concentration in the mix of two 250-mL cans of soft drink, one of which is 20% sugar, and the other of which is 45% sugar.
Weighted averageThe fraction of sugar in the mix is the weighted average of the fractions in the contributors. The weights are the volumes. Since the volumes are equal, the weights are equal, so the fraction in the final mix is simply the average of the two fractions:
(20% +45%)/2 = 65%/2 = 32.5%
The sugar concentration of the mixed soft drink is 32.5%.
What' the mean 3,2,2,12 6,5,14,4
Answer: 6
Explanation: The mean of a data set is the sum of the numbers in the data set divided by however many numbers are in the data set.
So, let's begin by adding the numbers.
So we have 3 + 2 + 2 + 12 + 6 + 5 + 14 + 4 which is 48.
Now we divide 48 by the number of numbers in the set which is 8.
48 ÷ 8 is 6.
So the mean of the given data set is 6.
Themes in The Heart of a Samurai?
Answer:
Family. Family is what you make of it in Heart of a Samurai.
Language and Communication.
Principles.
Art and Culture.
Identity.
Change.
Society and Class.
Step-by-step explanation:
Hope this helps:)
Rewrite from largest to smallest 2.09,2.9,2.59
Answer:
2.09, 2.59, 2.9
Step-by-step explanation:
Answer:
2.09, 2.59, 2.9
Step-by-step explanation:
hope this helps have a wonderful day
What is the surface area of the cylinder? Express the answer in terms of Pi?
Cylinder. Diameter 8 centimeters. Height 18 centimeters
a
176π cm2
b
304π cm2
c
152π cm2
d
792π cm2
Answer:
A
Step-by-step explanation:
Lids
It is not clear how many lids the cylinder has or perhaps it is a solid. I'll say it has 2 lids.
The surface area of one lid = pi * r^2
r = 4
The surface area of one lid is pi*4^2 =16 pi
The surface area of two lids is 32*pi
Body
Length of the body = pi * d
Length of the body = 8 * pi cm
Height of the body = 18 cm
Area = l*h
Area = 8pi * 18 cm
Area = 144 pi
Total
Total Area = 32 pi + 144pi
Area = 176 pi cm^2