Answer:
size
Step-by-step explanation:
Example: (1 0 2) has 1 row and 3 columns, so m = 1 & n = 3 and the size is 1 x 3.
Taylor read 32 pages on Monday. On Tuesday, she read twice as much as she read on Monday. On Wednesday, she read 14 fewer pages than she did on Tuesday. How many total pages did Taylor read during the three days?
Answer:
Taylor read 146 pages during these three days.
Step-by-step explanation:
32 pages on Monday.
On Tuesday twice, as much as Monday. So 2*32 = 64 on Tuesday.
On Wednesday, 14 less pages than Tuesday. 64 - 14 = 50. So he read 50 pages on Wednesday.
How many total pages did Taylor read during these three days?
32 + 64 + 50 = 146
Taylor read 146 pages during these three days.
A town's population is 53 comma 350. About 75 people move out of the town each month. Each month, 175 people on average move into town. A nearby town has a population of 55 comma 825. It has no one moving in and an average of 175 people moving away every month. In about how many months will the populations of the towns be equal? Write an equation to model the situation. Then solve the equation and answer the question.
Answer:
In about 9 months the population of the towns will be equal.
Step-by-step explanation:
The population of both cities, after t months, can be modeled by linear functions.
Town A:
Population of 53330.
About 75 people move out of the town each month. Each month, 175 people on average move into town.
So, after t months, the population will be:
[tex]A(t) = 53300 + (175 - 75)t[/tex]
[tex]A(t) = 53300 + 100t[/tex]
Town B:
Population of 55,825.
An average of 175 people moving away every month.
So, after t months, the population will be:
[tex]B(t) = 55825 - 175t[/tex]
In about how many months will the populations of the towns be equal?
This is t for which:
[tex]A(t) = B(t)[/tex]
[tex]53300 + 100t = 55825 - 175t[/tex]
[tex]275t = 2525[/tex]
[tex]t = \frac{2525}{275}[/tex]
[tex]t = 9.18[/tex]
Rounding to the nearest number
In about 9 months the population of the towns will be equal.
Write an equation to solve for the value of x. What is the value of x in the figure shown?
Answer:12
Step-by-step explanation:37=3x+1
The points A-1,-9) and K(5,1) are endpoints of a diameter of circle 5. Which equation represents circle S?
A. (x - 2)2 + (y + 4)2 = 34
B. (x - 2)2 + (y + 4)2 = 136
C. (x + 2)2 + (-4)2 = 34
D. (x + 2)2 + (-4)2 = 136
Answer:
A
Step-by-step explanation:
if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is
(x-x1)(x-x2)+(y-y1)(y-y2)=0
reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0
[tex]x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}[/tex]
center is (2,-4)
r=√(2²+(-4)²-(-14))
=√(4+16+14)
=√(34)
eq. of circle is (x-2)²+(y+4)²=34
or
(x²-4x)+(y²+8y)=14
(x²-4x+4)+(y²+8y+16)=14+4+16
(x-2)²+(y+4)²=34
Graph x^3 + 3x^2 − x − 3 = 0. What are the solutions to the equation?
x = −3, x = 0, and x = 1
x = −3, x = −1, and x = 0
x = −3, x = −1, and x = 1
x = −1, x = 1, and x = 3
Answer:
x = −1, x = 1, and x = - 3
Step-by-step explanation:
hello :
if : x=1 1^3 + 3×1^2 − 1 − 3 =1+3-1-3 =4-4=0......true
if : x=-1 (-1)^3 + 3×(-1)^2 +1− 3 =-1+3.+1-3.=0...true
if : x=3 (-3)^3 + 3×(-3)^2 + 3 − 3 =-27+27+3-3.=0.....true
A car used 1/64 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can a car travel using 1 gallon of gas?
Answer:
16 miles
Step-by-step explanation:
In order to find one gallon of gas, you multiply the 64 by 1/64 which will get you to 1 whole. Now you multiply the 64 by the 1/4 miles which will give you 16 miles.
A student has an allowance of $20 a week. He wants to buy lunch at school for $3.50 everyday. Does this student have enough money to buy lunch for the week?
Answer:
no
Step-by-step explanation:
in a 7 day week, he would need $24.50
No, $20 is not enough to buy lunch for a week.
What is comparison?Comparing numbers in maths, defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.
Given that, A student has an allowance of $20 a week. He wants to buy lunch at school for $3.50 every day.
Since, there is off on Sundays in a school, so we will consider 6 days in week.
3.50x6 = 21
That means he need $21 to buy lunch for the week
21>20
Hence, $20 is not enough to buy lunch for a week.
For more references on comparison, click;
https://brainly.com/question/14047951
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Please solve for x. I need this answered.
2.5x - 3 + 2x = 1.75x - 1.25x + 13
4.5x - 3 = 0.50x + 13
4.0x = 16
x = 4
Answer: 4
2. We'll assume those xs are in the numerator
(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1
(6/7)x - 1/4 = (6/7)x - 1/4
0 = 0
That's always true.
Answer: Any x is a solution.
Answer:
2.5x - 3 + 2x = 1.75x - 1.25x + 13
4.5x - 3 = 0.50x + 13
4.0x = 16
x = 4
Answer: 4
2. We'll assume those xs are in the numerator
(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1
(6/7)x - 1/4 = (6/7)x - 1/4
0 = 0
That's always true.
I'm am like, really serious. WHO THE FREAK IS JOE?
Answer: My momma of course
Step-by-step explanation:
can i get the answer ASAP
Answer:
Step-by-step explanation:
If two triangles are similar, the ratio of the area of the triangles is proportional to the squares of its corresponding sides.
area of ΔJKL/area of ΔLMN = (JK)²/(NM)²
[tex]\frac{392}{8}=\frac{(35)^{2}}{(NM)^{2}}\\\\49=\frac{(35)^{2}}{(NM)^{2}}\\[/tex]
Cross multiply,
49*(NM)²= 1225
[tex](NM)^{2}=\frac{1225}{49}\\\\(NM)^{2}=25\\\\NM=\sqrt{25}\\\\[/tex]
NM = 5 cm
Please help with this
Answer:
C
Step-by-step explanation:
A quadratic function can be defined as a function where the highest degree or exponent is 2. Since option B has a zero in front of the x squared, it is not a quadratic function because 0 times anything is zero. Therefore, the only other option with an exponent of 2 is C.
Hope this helped! :D
I was wondering what the surface area was. for this prism?
Answer:
392 units^3
Step-by-step explanation:
What you are using is a "net." The net of a solid figure is formed when a solid figure is unfolded along its edges and its faces are laid out in a pattern in two dimensions. Nets of rectangular prisms are made up of rectangles and squares
Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.
For this problem, it would be the area of one triangle times two (since there are two) and the area of a rectangle times 3 (since there are three rectangles). Let's start with the triangles...
Triangles
The formula for area of a triangle is 1/2bh. The base is 8 and the height is 4, so 8*4 = 32/2 = 16. Now 16 *2 = 32, meaning that the combined areas of the triangles is now 32.
Let's try rectangles...
Rectangles
The formula for area of a rectangle is simply bh. Base is 8, height is 15, meaning the product is 120. Multiply by 3 and you get 360. The combined areas of the rectangles is now 360.
Now add the two values for the surface area:
360 + 32 = S.A. = 392 units^3
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Simplify the expressions:
1) [tex]\sqrt{x^6}[/tex] where x<0
2) [tex]\sqrt{m^4}[/tex]
3) 1.5 * [tex]\sqrt{t^1 ^4}[/tex] where t<0
Answer:
1. -x³
2. m²
3. -1.5t⁷
Step-by-step explanation:
x⁶^½ = +/- x³
Since x is negative, postive square root would be -x³
m⁴^½ = +/- m²
Positive square root is m²
t¹⁷^½ = +/- t⁷
Since t is negative, postive square root would be -t⁷
1.5 × -t⁷ = -1.5t⁷
can someone please help with this ?
Answer:
Step-by-step explanation:
If we are to find f(x) + g(x) that we means that we are to add the functions together by combining like terms, if any, and put it all together into one function. Adding them looks like this:
[tex]-3x+7+2x^2-8[/tex] and combining like terms gives us
[tex]2x^2-3x-1[/tex]
every natural number is a whole number why?
Answer:
Step-by-step explanation:
0 is whole number and 1 is natural number they both end in infinity. So there is only 0 in whole number but not in natural number.thats why every natural number is whole number
Natural numbers are the counting
numbers and they are always positive.
The set of natural numbers begin at 1 and go on indefinitely.
The natural numbers look like {1, 2, 3, 4, 5, ...}.
When we include 0 in the set of natural numbers, the new set,
{0, 1, 2, 3, 4, ...} is called the set of whole numbers.
Notice that all natural numbers are
included within the set of whole numbers.
We can represent the relationship between these
two sets of numbers using a diagram.
The bigger circle below represents the set of whole numbers
and all natural numbers will appear within the set of whole numbers.
In summary, natural numbers are the same as whole numbers except for the fact that whole numbers include 0.
The probability that Terry buys a sandwich is 0.4.
The probability that Terry gets the bus is 0.6.
Assuming the events are independent, what is the probability that Terry buys a sandwich and gets the bus?
0.4 * 0.6 this gives
0.24
Predict what will happen to the graph of the function f(x) = xã, if the function
is changed to
f(x) = (x+5).
A. The graph will shift up 5 units.
B. The graph will shift down 5 units.
C. The graph will shift to the left 5 units.
D. The graph will shift to the right 5 units.
What is the formula to find the volume of the solid ?
Answer:
Step-by-step explanation:
This solid figure is a cone,
Volume=(πr²H)/3 cubic units
r ----> radius
H -------> height
which is the equation of a line that has a slope of -2/3 and passes through point (-3,-1)
Answer:
y = -2/3x - 3
Step-by-step explanation:
y = mx + b
m = slope
(-3,-1) = (x,y)
Plus in the coordinates
-1 = -2/3(-3) + b
negative times negative = positive
-2/3 * -3 = 2
-1 = 2 +b
Use inverse operations
-2 --2
-3 = b
y = -2/3x - 3
Answer:
y = -2/3 x - 3
Step-by-step explanation:
since you have a point and a slope, you can use point - slope form
[tex]y - y_{1} = m (x - x_{1} )[/tex] plug in the point as [tex](x_{1}, y_{1})[/tex] and the slope as my - (-1) = -2/3(x - (-3)) change two negatives into positivey + 1 = -2/3 (x+3) distribute the -2/3y + 1 = -2/3x - 2 subtract 1 from both sidesy = -2/3 x -3Help me please help me thank you
Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I
Step-by-step explanation:
8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.
9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.
10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So, b will also equal 70 degrees.
Part B:
1. G
2. J
3. F
4. E
5. B
6. A
7. H
8. C
9. D
10. I
What is the slope of the line?
Answer:
It is the change in y for a unit change in x along the line.
A bag contains 4 red, 2 blue, 6 green, and 8 white marbels. Round anwsers to the nearest tenth. What is the probibility of selecting a green marble, replacing it, and then selecting a red marble.
Answer:
[tex]\frac{3}{50}[/tex] chance.
Step-by-step explanation:
Probability of getting a green: [tex]\frac{6}{4+2+6+8}[/tex] = [tex]\frac{6}{20} = \frac{3}{10}[/tex]
Probability of getting red: [tex]\frac{4}{4+2+6+8} = \frac{4}{20} = \frac{1}{5}[/tex]
[tex]\frac{1}{5} * \frac{3}{10} = \frac{3}{50}[/tex]
There is a [tex]\frac{3}{50}[/tex] chance of getting a green then red marble with replacement.
Terry's investment of $2,200 in the stock market earned $528 in two years. Find the simple interest rate for the investment
Answer:
24%
Step-by-step explanation:
Answer:
24%
Step-by-step explanation:
t = ???
P = 2,200
I = 528
r = 12%
528 = 2,200(t x 1)
t = 528/2,200
t = 0.24
t = 0.24 x 100 = 24%
You're welcome.
Can someone please help
Answer:
1. 24 ft
B. 2
3. 150
4. 34
5. 864
6. 1925
7. 480
8. 22440
Step-by-step explanation:
Study the following frequency distribution table.
xi 15 17 20 30 10 + f
fi 4 4 6 5 6
If the mean of the data is 18.8, then the value of f is
(A) 4 (B) 3 (C) 2 (D) 1
PLS ANSWER THIS AS QUICKLY AS POSSIBLE
Answer:
Option C is correct.
f = 2
Step-by-step explanation:
The mean is the sum of variables divided by the number of variables
Mean = (Σfx)/(Σf)
xi | 15 | 17 | 20 | 30 | 10 + f
fi | 4 | 4 | 6 | 5 | 6
Σfx = (15×4) + (17×4) + (20×6) + (30×5) + [(10+f)×6] = 60 + 68 + 120 + 150 + 60 + 6f = (458 + 6f)
Σf = 4 + 4 + 6 + 5 + 6 = 25
Mean = 18.8
18.8 = (458+6f) ÷ 25
458 + 6f = 25 × 18.8 = 470
6f = 470 - 458 = 12
f = (12/6) = 2
Hope this Helps!!!
7/2x + 1/2x = 22 + 9/2
Answer:
[tex]x = \frac{53}{8} [/tex]
alternative form:
[tex]x = 6 \frac{5}{8} \: or \: x = 6.625[/tex]
Step-by-step explanation:
[tex] \frac{7}{2} x + \frac{1}{2} x = 22 + \frac{9}{2} \\ add \: \frac{7}{2}x \: to \: \frac{1}{2} x \\ \\ 4x = 22 + \frac{9}{2} \\ add \: 22 \: to \: \frac{9}{2} \\ \\ 4x = \frac{53}{2} \\ divide \: both \: sides \: by \: 4 \: \\ \\ x= \frac{53}{8} [/tex]
Find the 90th term of the arithmetic sequence 16 , 21 , 26
Answer:
The 90th term of the arithmetic sequence is 461.
Step-by-step explanation:
Arithmetic sequences concepts:
The general rule of an arithmetic sequence is the following:
[tex]a_{n+1} = a_{n} + d[/tex]
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
[tex]a_{n} = a_{1} + (n-1)*d[/tex]
In this question:
[tex]a_{1} = 16, d = 21 - 16 = 26 - 21 = 5[/tex]
So
90th term
[tex]a_{90} = a_{1} + (90-1)*d[/tex]
[tex]a_{90} = 16 + 89*5[/tex]
[tex]a_{90} = 461[/tex]
The 90th term of the arithmetic sequence is 461.
Help me pleaseeee:
Ravi wants to earn at least 569 trimming trees. He charges $8 per hour and pays $3 in equipment fees. What are the possible numbers of hours Ravi could trim
trees?
Use t for the number of hours.
Write your answer as an inequality solved for t
PLEASE HELP ME!!
Answer:
8t+3>569
Step-by-step explanation:
i think this is right
Answer:
8t-3 ≥ 569.
Step-by-step explanation:
'T' represents the number of hours.
'-3' represents the amount paid for equipment fees.
When solved, we get:
8t ≥ 572
t ≥ 71.5 hours.
can anyone help me find the volume? i will help you be the brainliest!!
Answer:
6,912....
Step-by-step explanation:
6 times 12 times 6 time 4 times 4 = 6,912
Answer:
= 360 ft³
Step-by-step explanation:
Rectangular prism
Volume = length x width x height
V = l x w x h
V = 12 x 6 x 4
V = 288 ft³
Triangular prism
Volume = 1/2 x base x height x length
V = 1/2 x 6 x 4 x 6 ( the width of the rectangular prism is the base of the triangular prism)
V = 1/2 x 144
V = 72 ft³
ADD BOTH VOLUMES
= 288 + 72
= 360 ft³
Need help pls have no idea how to this
Answer:
The local minimum point of f(x) is at the point (-2,-2)
Step-by-step explanation:
the minimum point is located on the very bottom of the parabola!
so its cut off but its (-2,-2)
sorry I didnt see the 6,-2
so I am gussing the y-value is the minimum point so it should be -2....tell me if I am wrong but if your looking for a points it (-2,-2) if your looking for the value it would be -2
pls mark me brainliest
