Answer:
yeah sure
Step-by-step explanation:
Answer 9 : 1
Answer 10 : 8b²/3a³c³
The sum of three consecutive integers is 144. What is the smallest of these integers?
Answer:
They are 46, 48, 50.
Step-by-step explanation:
An even number is a multiple of
2
, then can be written as 2n. The next even number after
2
n
is
2
n
+
2
and the following is
2
n
+
4
.
So you are asking for which value of
n
it you have
(
2
n
)
+
(
2
n
+
2
)
+
(
2
n
+
4
)
=
144
I solve it for
n
6
n
+
6
=
144
n
=
138
6
=
23
.
The three numbers are
2
n
=
2
⋅
23
=
46
2
n
+
2
=
46
+
2
=
48
2
n
+
4
=
46
+
4
=
50
Help a formula word problem. Thank you if you help. You're a genuis!
==========================================================
Explanation:
We start with one block at the very left side. This is algebraically written as [tex]a_1 = 1[/tex]. The small subscript '1' means we're dealing with the first term, and that is set equal to 1. In other words, the first term is 1.
The second term is three since we have three blocks as the next figure down the line. So [tex]a_2 = 3[/tex]. We can then see that [tex]a_3 = 6[/tex] and [tex]a_4 = 10[/tex]
The sequence of the first four terms are: 1, 3, 6, 10.
The notation [tex]a_n = a_{n-1} + n[/tex] tells us "to get the nth term [tex]a_n[/tex], we add the previous term ([tex]a_{n-1}[/tex]) to the value of n".
For example, if we wanted the third term, we would add the second term a2 onto the value of n = 2. In order to know a2, we need the diagram or you would have to use the recursive formula to find it.
Furthermore, it means that to find the fifth term [tex]a_5[/tex], we do the following
[tex]a_n = a_{n-1} + n\\\\a_5 = a_{5-1} + 5\\\\a_5 = a_{4} + 5\\\\a_5 = 10+5\\\\a_5 = 15[/tex]
The fifth figure will have 15 small little blocks to it. You can draw this out by copying the fourth figure, and then adding 5 smaller blocks to the very bottom portion. The sixth figure is basically a copy of the fifth one, but we have six little blocks along the bottom. This is the "plus n" being applied in the recursive formula.
So the 6th figure will have 15+6 = 21 blocks in total while the 7th figure has 21+7 = 28 blocks. This points us to choice (3).
Side note: These are known as triangular numbers. Note how the gaps between consecutive values of 1,3,6,10,15,21,28 is +2,+3,+4,+5,+6,+7.
MODELING WITH SYSTEMS OF INEQUALITIES
There are many situations that arise in business and engineering that necessitate systems of linear inequalities. The region in the xy-plane that solves the systems often represents all of the viable solutions to the system, so being able to visualize this region can be extremely helpful. As always, with modeling, it is important to really read the problems and understand the physical quantities involved.
(a) If John works 14 hours mowing and 30 hours at the bakery, does this satisfy all of the problem’s constraints?
(b) If x represents the hours John spends mowing and y represents the hours he spends at the bakery, write a system of inequalities that describes this scenario.
The question is incomplete. The complete question is :
John mows yards for his father's landscaping business for $ 10 per hour and also at a bakery for $ 15 per hour. He can work at most 52 hours per weak during the summer. He needs to make at least $ 600 per week to cover his living expenses.
a) If John works 14 hours mowing and 30 hours at the bakery, does this satisfy all of the problem’s constraints?
(b) If x represents the hours John spends mowing and y represents the hours he spends at the bakery, write a system of inequalities that describes this scenario.
Answer:
a). No
b). 10x + 15y ≥ 600
Step-by-step explanation:
a). Number of hours John works mowing = 14 hours
Number of hours John works at bakery = 30 hours
Therefore, according tot he question,
= 14($10) + 30($15)
= 140 + 450
= $ 590
This is not enough money. He needs to earn $ 600 per week.
b). Given :
x = hours John spends mowing
y = hours John spends at the bakery
Therefore, the inequalities which describes this situation is:
x + y ≤ 52
10x + 15y ≥ 600
REAL ANSWERS ONLY Trevors frying pan has an diameter of 14.5 inches what is the circumference of his frying pan use 3.14
A 7.25 inches
B 22.77 inches
C 45.53 inches
D 91.06 inches
Answer:
45.53 inches
Step-by-step explanation:
c=pi*d d=14.5, 14.5*3.14 is 45.53 inches
Answer:
L
Step-by-step explanation:
thats tuff ez points jk its c
1. Is 5(x+1) the same as 5x+1? Explain your
answer.
2. Write the expression one other way.
Answer:
Step-by-step explanation:
5(x+1), when expanded, becomes 5x + 5, which is ot the same as 5x + 1.
1 pts
Question 20
The population of a town is increasing at 6.2% per year. The city
council believes they will have to add another elementary school
when the population reaches 100,000. If there are currently
76,000 people living in the town, how long until a new
elementary school is needed. Round to the nearest tenth.
Answer:The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another elementary …
Step-by-step explanation:
Long until a new elementary school needed is 9.6.
How to estimate compound interest?Given:
Interest rate, r = 6.2% or 0.062
Amount, A = 100000
Principle, P = 76000
As we know,
[tex]$\Rightarrow A=P\left(1+\frac{r}{100}\right)^{n}$$[/tex]
On substituting the values, we get
[tex]$&\Rightarrow 100000=76000\left(1+\frac{6.2}{100}\right)^{n} \\[/tex]
[tex]$&\Rightarrow(1+0.062)^{n}=\frac{100}{76}[/tex]
On taking log both sides, we get
[tex]$&\Rightarrow n \log _{c}(1.062)=\log _{c}\left(\frac{100}{76}\right) \\[/tex]
[tex]$&\Rightarrow \quad n=\frac{\ln \left(\frac{100}{76}\right)}{\ln (1.062)}[/tex]
By putting the values of log, we get
[tex]$\Rightarrow \quad=4.5622$[/tex]
[tex]$\Rightarrow \quad=4.6[/tex]
Therefore, the correct answer is 4.6.
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You randomly pull a pen from a bag of pens. The bag has 1 red pen, 2
pink pens, 2 green pens, and 1 yellow pen.
What is the probability of drawing a red or a pink pen?
Answer:
For red you have a 1/5% chance for pink you have a 2/4% chance also know as 50% chance
Step-by-step explanation:
A baker used 4 bags of flour every 10 days. He used_
of a bag each day.
Answer:
0.40
Step-by-step explanation:
4/10 = 0.40
create a story problem for 2/3 x 2/4
A story problem for 2/3 x 2/4 is,
Milson have 2/3 gallons of water and He wanted to split half of it with his brother. What fraction of the cake does Harry have.
We have to given that,
Create a story for 2/3 x 2/4.
We can write a story problem for 2/3 x 2/4 as,
Milson have 2/3 gallons of water and He wanted to split half of it with his brother. What fraction of the cake does Harry have.
Which can be solve as,
⇒ 2/3 x 1/2
⇒ 1/3
Here, expression is,
⇒ 2/3 x 2/4
⇒ 1/3
Therefore, A story problem for 2/3 x 2/4 is,
Milson have 2/3 gallons of water and He wanted to split half of it with his brother. What fraction of the cake does Harry have.
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Bill launched a model rocket, and estimated its height h, in feet, after t seconds. His results are shown in the table.
Time, t
0
1
2
3
4
Height, h 0 110 190 240 255
Bill's data can be modeled by the function h(t) = -1612 + 128t.
Which value is the best prediction for the height of the rocket after 5.5 seconds?
A. 150 ft
B. 180 ft
C. 220 ft
D. 250 ft
E. 260 ft
Heyo!
So, the best prediction for the height of the rocket after 5.5 seconds, based on the given data above, I believe would be C. 220 ft.
Hope this helps! Pls, LMK if it does! Good Luck!
The best prediction for the height of the rocket after 5.5 sec will be 220 feet.
What is a quadratic equation?A quadratic equation is an equation where the highest power of the variable is 2.
Given data for the height of the rocket at different time is modeled by the function h(t) = -16t² + 128t
The height of the rocket after 5.5 sec will be
= h(5.5) = [- 16(5.5)² + 128 × 5.5] feet = (- 484 + 704) feet = 220 feet.
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What is the volume, in cubic feet, of a cylinder with a height of 3 feet and a
base radius of 2 feet, to the nearest tenths place?
Answer:
i think 4 feet tall
Step-by-step explanation:
i think if it is wrong im sorry i tried
Answer:
37.7ft³
Step-by-step explanation:
A baker made 15 loaves of bread from 3 pounds of flour. Each loaf had the same amount of flour. How many pounds of flour were used to make each loaf?
Answer:
0.2 pounds
Step-by-step explanation:
You can use unitary method:
To make 15 loaves of bread, flour needed is 3 pounds
To make 1 loaf of bread, flour needed is 3/15 pounds = 0.2 pounds
PLZ!!!!! SOMEONE HELP!!!!!
COULD ANYONE HELPME!!!!!!!! PLZ!!!!!!!!!
Answer:
area of shaded portion of figure = 76.24 cm²
Step-by-step explanation:
find the area of the circle, a 60° segment of the circle, and an equilateral triangle with sides of 5 cm:
area of circle = πr² = (3.14)(5²) = 78.5 cm²
area of 60° segment of circle = 78.5/6 = 13.08 cm²
area of triangle = 1/2(4.33)(5) = 10.82 cm²
The shaded area will be:
full circle area - (60° segment - triangle) = 78.5 - 13.08 + 10.82 = 76.24 cm²
solve y = -4x^2 - 24x + 9 algebraically
Answer:
-7-24x
Step-by-step explanation:
looked on photomath.
how are mimes and tableaus different. and how are they similar
What is the answer to my question
Describe the end behavior of the given function f(x)=2/3x-2
Answer:
The end behavior of f(x)=2/3x-2 is: as x->+ infinity, f(x)->+ infinity
as x->- infinity, f(x)->- infinity
Step-by-step explanation:
When you are asked about the end behavior of a function, look to see where the function is traveling on the graph. For instance, this graph is linear, so you should look to see if the slope is positive or negative. This linear function is positive, so as x is reaching positive infinity the f(x) would also be reaching positive infinity. As x is reaching negative infinity, f(x) would also be reaching negative infinity. The end behavior of a function describes the trend of the graph on the left and right side of the x- axis. (As x approaches negative infinity and as x approaches positive infinity).
Solve for M
4 (m -3) = 16
A bag contains eight black cards numbered 1 through 8 and six red cards numbered 1 through 6. You choose a card at random what's the possible outcome
Answer:
14 possible outcomes
Step-by-step explanation:
It is given that :
There are 8 black cards numbered 1 through 8.
Therefore, Black 1, Black 2, Black 3, Black 4, Black 5, Black 6, Black 7, Black 8.
And there are 6 red cards numbered 1 through 6.
Therefore, Red 1, Red 2, Red 3, Red 4, Red 5, Red 6.
So the total number of cards is 8 + 6 = 14 cards.
So, there will be 14 possible outcomes if we choose a card randomly.
Shona has to draw the line with equation y = 3x + 2. Here is her line. Explain why Shona's line cannot be correct.
Answer:
Step-by-step explanation:
The y intercept cannot possibly where it is shown. The slope is correct. The line is going from the lower left to the upper right, and the 3 makes the line closer to the y axis. For example if x = 1 then y = 3*1+2 = 5.
If x = 2, then y = 3*2 + 2 = 8 so each move of x makes a huge difference in where y is.
So lets go back to the y intercept. When x = 0, then y = 2. y = 2 is about the x axis, not below it.
Shona's drawn line cannot be the representation of her equation y = 3x + 2, as the y-intercept of her drawn line is negative, while the y-intercept of the equation is positive (b = 2).
What does the equation of a line imply?The equation of a line of the form y = mx + b shows a line on the coordinate plane, where for every value of x, we get a particular value of y, and m is the slope of the line. The slope is the value of tan θ, where θ is the positive angle formed between the x-axis and the line. b is the y-intercept. The y-intercept is the value of y when x = 0. This signifies that the line passes through the point (0, b).
How do we solve the given question?We are given an equation of a line y = 3x + 2, and a line of the coordinate plane.
We are asked to give the reason why the line on the plane is not the representation of the given equation.
The equation y = 3x + 2, when compared to the slope-intercept form of a line, y = mx + b, shows that the slope m = 3 and the y-intercept b = 2.
The line on the plane has a positive slope, so m = 3 can be its slope.
But the y-intercept of the drawn line is negative since it is below the origin. So b = 2 cannot be its y-intercept.
(Value of y is positive above the origin and negative below the origin)
(Value of x is positive to the right of the origin and negative to the left of the origin)
∴ Shona's drawn line cannot be the representation of her equation y = 3x + 2, as the y-intercept of her drawn line is negative, while the y-intercept of the equation is positive (b = 2).
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Here is the histogram of a data distribution. All class widths are 1.
What is the median of the distribution?
a:4
b:5
c:7
d:6
Answer: 5
Step-by-step explanation:
.
The sketch shows part of the graph y=ab^x
Answer:
a = 3, b = 2
[tex]y = 3\cdot 2^x[/tex]
Step-by-step explanation:
[tex]y = ab^x\\3 = ab^0\\12 = ab^2\\~\\3=ab^0=a\cdot 1 = a\\a = 3\\~\\12 = ab^2 = 3b^2\\4 = b^2\\b = 2 \vee b = -2[/tex]
but we know from the graph being defined and positive, that b cannot be -2
b = 2
The value of a is 3 and value of b is 2.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The graph is y=abˣ
The points with coordinates (0, 3) and (2, 12) lie on the graph.
We need to find the values of a and b.
The point (0, 3)
3=ab⁰
a=3
Now point (2, 12)
12=ab²
Now plug in a value as 3
12=3b²
Divide both sides by 3
12/3=b²
4=b²
b=2
Hence, the value of a is 3 and value of b is 2.
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In Exercises 2 and 3, find the value of x that makes PQR ~JKL.
Answer:
2. 4
3. 9
Step-by-step explanation:
2. 4 ~ 8
3 ~ x + 2
x + 1 ~ 10
8 / 4 = 2
2 (3) = x + 2
6 = x + 2
- 2 - 2
x = 4
2 (x + 1) = 10
/ 2 / 2
x + 1 = 5
- 1 - 1
x = 4
3. 9 ~ 13.5
x + 1 ~ 15
13.5 / 9 = 1.5
1.5 (x + 1) = 15
/ 1.5 / 1.5
x + 1 = 10
- 1 - 1
x = 9
Find the solution(s) to (x-3)^2=49. Check all that apply
A. x=-10
B. x=-4
C. x=7
D. x=-7
E. x=10
Answer:
B. x = -4
E. x = 10
Step-by-step explanation:
[tex](x-3)^2=49 \\ \\ x - 3 = \pm \sqrt{49} \\ \\ x - 3 = \pm 7 \\ \\ x = 3 \pm 7 \\ \\ x = 3 + 7, \: \: x = 3 - 7, \\ \\ x = 10, \: \: x = - 4[/tex]
k +-23 = -100
help me
Answer:
-77
Step-by-step explanation:
-77 + -23 = -100
I need help with the part that says “match the graph”!
Don’t bots or I’ll report them :)
7: Graph A
8: Graph B
9: Graph C
therefore: Graph A has infinitely MANY solutions; Graph B has ONE solution; Graph C has NO solution
also!! khan academy has a lesson that talks about this and is super helpful: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:number-of-solutions-to-systems-of-equations/a/number-of-solutions-to-system-of-equations-review
funny they were already in order :) also could you please give me brainliest? all my brainliest answers disappeared :/
what is 2324132352413142536-1342536435241342536/2354253643524125363541+425364763524142536475
That is going to be a looong answer...
[tex]2324132352413142536 - \frac{1342536435241342536}{2.354254e} - 21 + 425364763524142536475[/tex]
and done
Leon has $77,343 in a savings account that earns 9% annually.The interestis not compounded.To the nearest cent,how much interest will he earnin 4 months?
Answer:
$ 2320.3
Step-by-step explanation:
Leon has $77,343 in a savings account that earns 9% annually.The interestis not compounded.To the nearest cent,how much interest will he earnin 4 months?
Since the interest is not Compounded
We solve using Simple Interest formula
= P × R × T
P = $77,343
R = 9 %
T = 4 months
Converting to years
= 4/12 = 0.3333333333
Interest = $77,343 × 9% × 0.3333333333
=$2320.29
Approximately to the nearest cents = $2320.3
You know your parents left a 20% tip. If they left $16 for the tip, what was the cost of the meal?
Answer:
The meal cost 80 dollars
Given: a || b; c || d
a) List all angles congruent to angle 3._____________________
b) If m∠ 2 = 53º, then m∠ 12 = ______ and m∠ 8 = ______.
c) m∠ 4 + m∠ 12 + m∠ 13 + m∠ 6 = _________.
Answer:
c
Step-by-step explanation: