Answer:
5x+2y=3 3x-2y=5
7xy=3 xy=5
7xy+xy=3+5
6xy=8
Step-by-step explanation:
it's are the answers
7-12 find the limit.
8. [tex]\lim _{t \rightarrow \infty} \frac{t^{3}-t+2}{(2 t-1)\left(t^{2}+t+1\right)}[/tex]
Divide through the limand by the highest power of t :
[tex]\displaystyle \lim_{t\to\infty} \frac{t^3-t+2}{(2t-1)(t^2+t+1)} = \lim_{t\to\infty} \frac{1 - \frac1{t^2} + \frac2{t^3}}{\left(2-\frac1t\right) \left(1+\frac1t + \frac1{t^2}\right)}[/tex]
(I distributed 1/t³ in the denominator as 1/t (2t - 1) and 1/t² (t² + t + 1).)
As to goes to infinity, these 1/tⁿ terms will converge to 0, and you're left with
[tex]\displaystyle \lim_{t\to\infty} \frac{1 - \frac1{t^2} + \frac2{t^3}}{\left(2-\frac1t\right) \left(1+\frac1t + \frac1{t^2}\right)} = \frac{1 - 0 + 0}{(2-0)(1+0+0)} = \boxed{\frac12}[/tex]
The table shows the cumulative number of minutes Alice practices clarinet for the first part of the school year. The values will be graphed on the given coordinate plane. Which is the most appropriate choice of origin and scale for this graph?
The option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object, known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
As we can see in the table, data is given, we can plot it in the graph by using the scale factor.
On the x-axis, scale: 1 unit = 1 week
On the y-axis, scale: 1 unit = 150 minutes
On the y-axis, 2 units = 300 minutes
On the y-axis, 3 units = 450 minutes
Thus, the option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.
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A store owner must decide whether to continue stocking a particular brand of jeans in the upcoming year. The graph shows the unit sales of this item in the years since the store started stocking it.
The data is best modeled by a
Square Root, Quadratic, Linear
Based on the graph, the store owner
should
Should Not
The data is best modeled by a Quadratic function, and based on the graph, the store owner should continue stocking the product.
How do we know that the graph models a quadratic function?Because it decreases in value until the minimum value, then it increases again.
After that, the graph will continue to increase, that is, it will have no more turning points as it is a quadratic function, hence the store owner should continue storing the product.
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Sara can paint a small deck in 7 hours. Together with Joe, they can paint the deck in 3 hours.
How long would it take Joe to paint the deck by himself? Write a Rational Equation and use it to
solve for the answer to this question.
Answer:
12/5 hours
Step-by-step explanation:
Let the total area to be painted be X
Let S be the rate at which Sally paints and J be the rate at which Joe paints
We have:
X/S = 4 hours (1)
X/J = 6 hours (2)
(1) ÷ (2) ==>
LHS = X/S ÷ X/j = X/S × J/X ==> J/S (3)
RHS = 4/6 = 2/3 (4)
From (3) and (4)
J/S = 2/3 or J =2/3 × S
If they both paint at the same time time taken is
X/(S+J)
S + J = S + 2/3 *S = 5/3S
So time taken for both of them to paint is X/(5/3)*S = X/S * 3/5
But we know from (1) that X/S = 4 so time taken = 4 * 3/5 = 12/5 hours
When Tariq goes bowling, his scores are normally distributed with a mean of 110 and a standard deviation of 10. Using the empirical rule, what percentage of the games that Tariq bowls does he score between 80 and 140
Using the Empirical Rule, it is found that Tariq scores between 80 and 140 in 99.7% of the games that he bowls.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, considering the mean of 110 and the standard deviation of 10, scores between 80 and 140 are within 3 standard deviations of the mean, hence Tariq scores between 80 and 140 in 99.7% of the games that he bowls.
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If the positive difference between 3.2 and 1.09 is multiplied by 0.47, the result is:
Answer:
0,9917
Step-by-step explanation:
3.2 - 1.09 = 2.11
2.11 multiplied by 0.47 = 0.9917
28. Daniel uses 18 pints of water to fill 8 bottles. He
pours the same amount of water into each bottle.
How many pints of water does he pour into cach
bottle?
A. 8/12
*
B. 2 2/8
C. 8/26
D. 2 4/8
Answer:
b
Step-by-step explanation:
to find the answer to this you sould divide the amount of pints by the number of bottles
18/8
which is also 2 2/8
so the answer is b
what is 2.75% of 210,547
Answer:
5,790.0425
Step-by-step explanation:
plx help me plx ? can u tell me the answer of this algebra equation 2(x+3)+3(×-4)
Step-by-step explanation:
[tex] = 2(x + 3) + 3(x - 4)[/tex]
[tex] = 2x + 6 + 3x - 12[/tex]
[tex] = 2x + 3x + 6 - 12[/tex]
[tex] = 5x - 6[/tex]
...
12
y
8
41.81
48.199
33.69
56.31
ninate Education, Inc.
Answer:
hope this help you
Step-by-step explanation:
[tex] \cos(y) = \frac{b}{h} \\ \cos(y) = \frac{8}{12} \\ y = \cos {}^{ - 1} ( { 0.6666}^{ } ) \\ y = 48.19[/tex]
Which of these ordered pairs is a solution to the linear inequality 3y – 2x ≥ 8?
(2, –4)
(1, 3)
(–4, 2)
(3, 1)
Answer:
C
Step-by-step explanation:
Group the terms with variables on one side of the equal sign and simplify.
19p = 10p + 54
9p = 54
9p = −54
29p = 54
29p = −54
Answer:
9p = 54
Step-by-step explanation:
19p = 10p + 54
Subtract 10p on both sides,
19p - 10p = 54
9p = 54
Step-by-step explanation:
my dear this is very very simple
you can definitely solve it by yourself.
just take "like terms" pit them at one side make (if a negative sign crosses to the other side of the "equal to sign" (=) it changes to positive and vice versa.
19p = 10p + 54
so grouping like terms:
10p will come and meet 19p (but it will carry the positive sign because it has crossed the '=' sign
so we have,
19p -10p = 54
since 19p and -10p are like terms so we can subtract (imagine 19 apples - 10 apples)
so we get:
9p = 54 ( 9 apples = 54)
option (A)
Hope this helps.
Ace that assignment.
Good luck ✅.
you're super free to ask any further questions okay.
14. A bag contains 20 marbles. There are 4 blue
marbles, 10 green marbles, and 6 red marbles.
A marble is randomly selected from the bag. What is the
probability that the marble is red?
Answer:
30%, or 1/3
Step-by-step explanation:
If there are 20 total marbles, and 6 of them are red, to find the probability of pulling a red marble you would do 6/20, which simplifies to 1/3. This can also be written as 30%.
Hope this helps! :)
Each boy in a class has 11 pockets and each girl in a class has 13 pockets. How many boys and girls are in this class if all 21 students have a total of 251 pockets?
Answer:
10 girls and 11 boys
Step-by-step explanation:
That is the answer!!
Answer:
There are 10 girls and 11 boys.
Step-by-step explanation:
Set up two equations. One equation is from the info that there are 21 total students. The other equation is from the calculation for the number of pockets. See image.
Find the surface area of the prism.
Answer:
252m^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).
we just plug in the values.
2(12 x 6) + 2(12 x 3) + 2(6 x 3)
= 2(72) + 2(36) + 2(18) then simplify
= 144 + 72 + 36
= 252
Identify the axis of symmetry, vertex, and y intercept of y=-6x^2+12x-8
Answer:
See below for answers and explanations (with attached graph)
Step-by-step explanation:
It helps to transform the equation into vertex form by completing the square because it tells us a lot about the characteristics of the parabola:
[tex]\displaystyle y=-6x^2+12x-8\\\\y=-6\biggr(x^2-2x+\frac{4}{3}\biggr)\\\\y-6\biggr(-\frac{1}{3}\biggr) =-6\biggr(x^2-2x+\frac{4}{3}-\frac{1}{3}\biggr)\\\\y+2=-6(x^2-2x+1)\\\\y+2=-6(x-1)^2\\\\y=-6(x-1)^2-2[/tex]
Since vertex form is [tex]y=a(x-h)^2+k[/tex], we identify the vertex to be [tex](h,k)\rightarrow(1,-2)[/tex] and the axis of symmetry to be [tex]x=h\rightarrow x=1[/tex]. The y-intercept can be found by setting [tex]x=0[/tex] and evaluating:
[tex]y=-6(x-1)^2-2\\\\y=-6(0-1)^2-2\\\\y=-6(-1)^2-2\\\\y=-6(1)-2\\\\y=-6-2\\\\y=-8[/tex]
Hence, the y-intercept of the parabola is [tex]y=-8[/tex], or [tex](0,-8)[/tex] as an ordered pair.
∆CAT ≅ ∆DOG. Find x.
Answer:
A
Step-by-step explanation:
since the triangles are congruent , then corresponding sides are congruent
AC = OD
8x - 6 = 3x + 9 ( subtract 3x from both sides )
5x - 6 = 9 ( add 6 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Will mark brainlist to whoever answers first!
Full explanation please
Answer:
D
Step-by-step explanation:
To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor,
J-(2,2)
A-(4,4)
--
G-(-2,-2)
C-(-4,-4)
--
H-(4,4)
B-(8,8)
Which is a regular hexagon?
A.
B.
C.
D.
A regular hexagon consists of 3 main characteristics:
It is a closed shape.Six equal sidesSix equal anglesAnswer: Here u go
Step-by-step explanation:
An ice cream shop will allow you to build your own sundae. You must choose from vanilla, chocolate, or strawberry ice cream. You must choose with or without bananas, with or without nuts, and must pick between chocolate and caramel syrup. How many sundaes can you build?
Answer: 24
Step-by-step explanation: 3*2*2*2=24
You can build 24 sundaes
Natalie is hiking up a mountain while Simone is hiking down. When Natalie begins to ascend, Simone begins to descend at the same time. The graph shows Natalie’s elevation in feet over time in minutes. The table shows Simone’s elevation at different times. Who is hiking at a faster rate? Show your work.
To know who is hiking at a faster rate, calculate the rate for each hiker using the formula distance/ time and compare the rates.
How to find out who is faster?Calculate how fast each hiker moves or the rate for each hiker.Compare the rates.How to calculate the rate?The rate is equal to distance divided by time. For example,
Natalie travels 100 meters in 5 minutes:100/ 5 = 25 meters per minute.Note: This question is incomplete because the graphs are not provided; due to this, the answer is based on general knowledge.
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Using trig to find a side
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 117.8
Step-by-step explanation:
The tan value of an angle gives the ratio between the opposing side and the adjacent side of the angle.
Taking the tan value of the listed angle :
tan 50° = x/99
1.19 = x/99
x = 1.19 × 99
x = 117.8 (nearest tenth)
Complete this statement:
Which graph shows a dilation?
The graph that shows a dilation would show the reduction or enlargement of the original figure (see attachment).
What is a Dilation?Dilation is defined as a form of transformation where a figure is enlarged or reduced by scale factor. Simply put, a dilation is a process of resizing an original image.
The image containing the referenced graphs is missing. However, the image below shows what a dilation is.
Thus, the graph that shows a dilation would show an enlargement or reduction.
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How far will a cyclist riding at 25 miles per
hour travel in 3.5 hours?
Answer:
[tex]87.5\ miles[/tex]
Step-by-step explanation:
Step 1: Determine how far
Rate of speed * total hours
[tex]\frac{25\ miles}{hour}*3.5\ hours[/tex]
[tex]87.5\ miles[/tex]
Answer: [tex]87.5\ miles[/tex]
CONSTRUCTION Carlos is building a screen door. The height of the door is I foot more than twice its width. What is the width of the door if it is 7 feet high?
Answer:
width = 3 feetStep-by-step explanation:
Let h be the height of the door
and w be its width
The statement “The height of the door is I foot more than twice its width”
can be translated mathematically like this : h = 2w + 1
Let’s solve the equation for w:
h = 2w + 1
⇔ 2w = h - 1
[tex]\Leftrightarrow w=\frac{h-1}{2}[/tex]
now , if the door is 7 feet high then it’s width is equal to :
[tex]\Rightarrow \frac{7-1}{2} =\frac{6}{2} =3 \ ft[/tex]
Answer:
3 feet
Step-by-step explanation:
It mentions that the height of the door is 1 foot more than twice its width.
height (h) = 2 × width (w) + 1 footThe width of a door of height 7 feet will be :
7 feet = 2 × width (w) + 1 foot2× width (w) = 6 feetwidth (w) = 3 feetA linear pair must add up to 180 degrees is true or false?
Answer:
true
Step-by-step explanation:
(Screenshot included Need answer fast) easy question for experts. Select the graph that matches the equation y = 2 4/7x − 3
Answer: B
Step-by-step explanation:
This equation is in y = mx + b form, also known as slope-intercept form.
First, we will look at the y-intercept. Our y-intercept is -3, so the line will hit the y-axis at -3. This rules options A and C as incorrect.
Next, we will look to the slope. The slope is positive, 2 4/7, so the line will be going "up the stairs" from the bottom left to the top right. This rules out option D as incorrect, leaving us with our answer: B.
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What is the monthly payment on a 48-month loan for $28,000 with 2% interest?
Amortization formula:
$585
$608
$618
$625
help me please, will mark brainliest!
Step-by-step explanation:
remember (always remember) : a probability is desired cases divided by total possible cases.
what is our total here ?
1388 students at this school
what are our desired cases here ?
every student, who bikes to the school : 207
so, the probability that a randomly picked student is biking to the school is
207/1388 = 0.149135447...
so, b. is the right answer.
please let me know what is not clear to you.
we solved now many probability questions together, but this is very, VERY basic, and you could not do it.
so, what is not "clicking" with you ? what do you need explained ?