Answer:
Step-by-step explanation:
First establish the pattern. Notice the sequence of numbers below. These are the ones making up the pattern. You can go as far as 47 - 31 which gives 16 which is 4^2.
18 -17 = 1 = 1^2
22 - 18 = 4 = 2^2
31 - 22 = 9 = 3^2
47 - 31 = 16 = 4^2
=================
Call the number comming x. 47 taken from x must give 5^2 which is 25
x - 47 = 5^2
x - 47 = 25 Add 47 to both sides
x -47 + 47 = 25 + 47
x = 72
=================
72 -47 = 25 which is 5^2.
Answer: The next number is 72
Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below.
1. p(x) = 5x2 + 30x
2. p(x) = 5(x2 + 6x)
3. (six-halves) squared = 9;
4. p(x) = 5(x2 + 6x + 9) – 5(9)
5. p(x) = 5(x + 3)2 – 45
What is the vertex of this function? Is it a maximum or a minimum?
What is the axis of symmetry of this function?
Answer:
Step-by-step explanation:
hello :
p(x) = 5(x + 3)2 – 45
the vertex is the point : A(-3 ; -45)
minimum -45
the axis of symmetry is the line when an equation is : x = -3
Find the interest rate for a principal of $9442 and charged $30233 in interest for 18 years.
It costs $5.25 to rent bowling shoes. Each game costs $3.00. You have $26.25. How many games can you bowl?
First lets write an equation to help us solve this.
26.25=3x+5.25
x=7
26.25 - 5.25 = 21.
21/3 = 7.
Answer:
You can bowl 7 games.
Step-by-step explanation:
To begin, you need shoes.
-$5.25
So, we would do $26.25 minus the amount for shoes $5.25
$26.25-$5.25 = $21
You now have $21 to spend on bowling the games. Since it is $3 each game, we can do the equation $21 = $3x. We can do this becuase you have $21 to spend and each game costs $3. So we can put x for how many games and 3 as the price of each game. Now, we simplify to get x alone. This will be how many games you can bowl.
21 = 3x
Divide by 3 on both sides
7 = x
So, you can bowl 7 games.
(бх -Зу = 9
Solve y=2x-5
-
Answer:
6x-3(2x-5)=9
6x-6x+15=9
15=9
no sollution
Help pls! I rlly need this
Answer:
799.04
Step-by-step explanation:
First take the area of the rectangle, which would be 50 × 20 = 1000.
Then find the area of the circle. The area of a circle is [tex]\pi r^{2}[/tex]. Since the question says to use 3.14 for pi, your area would be 3.14 × 8².
8² equals 8 × 8 which is 64 and 3.14 times 64 is 200.96.
Since the circle is not part of the shaded area, you subtract the area of the rectangle by the area of the circle. 1000 - 200.96 is 799.04
Solve 21 & 22 give explanation
Step-by-step explanation:
question no. 21 answer
8 units
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
Distance = 13 units[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
By using Distance formula ~
[tex]\qquad❖ \: \sf \: \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
[tex]\qquad❖ \: \sf \: \sqrt{ ( - 8 - ( - 8)) {}^{2} + ( - 8 - 5) {}^{2} } [/tex]
[tex]\qquad❖ \: \sf \: \sqrt{0 + ( - 13) {}^{2} } [/tex]
[tex]\qquad❖ \: \sf \: \sqrt{169} [/tex]
[tex]\qquad❖ \: \sf \:13 \: \: units[/tex]
[tex] \qquad \large \sf {Conclusion} : [/tex]
The distance between the points is 13 units
help for (40 points) this is a k 12 thing
Answer:
4240 in²
rectangle prism area: 2(wl+hl+hw)
=======
area:
2*(20*36+25*36+25*20)4240 in²30 points
The length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long. How long is the hypotenuse of the triangle?
Question 2 options:
12 cm
62–√ cm
63–√ cm
6 cm
Answer:
Your answer would be 12cm
Step-by-step explanation:
I just take a quiz and got it right.
[tex] \displaystyle\red{ \sf\lim_{x \to {0}^{ + } }\frac{1}{ {sin}^{2}x } \int _{ \frac{x}{2} }^{x} {sin}^{ - 1} t \: dt}[/tex]
Use L'Hopital's rule twice:
[tex]\displaystyle \lim_{x\to0^+} \frac1{\sin^2(x)} \int_{\frac x2}^x \sin^{-1}(t) \, dt = \lim_{x\to0^+} \frac1{\sin^2(x)} \left(\int_0^x \sin^{-1}(t) \, dt - \int_0^{\frac x2} \sin^{-1}(t) \, dt\right) \\\\ = \lim_{x\to0^+} \frac{\sin^{-1}(x) - \frac12 \sin^{-1}\left(\frac x2\right)}{2\sin(x)\cos(x)} ~~~~~~~~~~ (LHR) \\\\ = \lim_{x\to0^+} \frac{2\sin^{-1}(x) - \sin^{-1}\left(\frac x2\right)}{2\sin(2x)} \\\\ = \lim_{x\to0^+} \frac{\frac2{\sqrt{1-x^2}} - \frac1{2\sqrt{1-\frac{x^2}4}}}{4\cos(2x)} ~~~~~~~~~~ (LHR) \\\\ = \lim_{x\to0^+} \frac{\frac2{\sqrt{1-x^2}} - \frac1{\sqrt{4-x^2}}}{4\cos(2x)}[/tex]
The remaining limand is continuous at x = 0, and the limit is
[tex]\displaystyle \lim_{x\to0^+} \frac1{\sin^2(x)} \int_{\frac x2}^x \sin^{-1}(t) \, dt = \frac{2-\frac12}4 = \boxed{\frac38}[/tex]
what is the slope of the line that passes through -14, 13 and 7, 0
Slope = change in y / change in x
slope = (0 - 13) / (7 - -14)
slope = -13/28
If 65% of a number is 234 and 10% of the same number is 36, find 75% of that number
65%= 234
100%= 234÷65×100
100%= 360
75%= 360÷100×75
75%= 270
find square root of
[tex]244[/tex]
Answer:
15.6204994
Step-by-step explanation:
[tex]15.6204994^{2} = 244\\so\\\sqrt{244} = 15.6204994[/tex]
hope this helps!
If a floor plan has a key for 1 graph paper line = 5 ft in real life, what is the area of a rectangular room in real life if the area on the floor plan is 44?
*HINT: the key is for a dimension, but your answer is an area.*
=======================================================
Explanation:
1 unit along the grid represents 5 feet in real life.
A 1 unit by 1 unit square on the graph paper represents a 5*5 = 25 square foot area in real life.
This means we multiply by 25 when going from the floor plan's area to the real world area.
44*25 = 1100 square meters is the area of the room in real life when the floor plan says the area is 44 sq units.
Please help
(Also show work) and its volume not SA
Answer:
75 inches cubed
Step-by-step explanation:
V=lwh
2 1/2 = 2.5
4 = 4
7 1/2 = 7.5
2.5 x 4 x 7.5=75
75 cubic inches
write equivalent expressions 3(x-6)
Answer:
3(x-6)=3x-18
Step-by-step explanation:
can please someone help me with more of these asap
Answer: 75.36
Step-by-step explanation: Lenght of arc=2nr
=2nx12in
=75.36
lenght of arc of sector=120/360x75.36
=25.12
The maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.4
parts per million (ppm). A consumer health group measured the level of the chemical in a
random sample of tomatoes obtained from one producer.
The levels, in ppm, are shown below.
0.31 0.47 0.19 0.72 0.56
0.91 0.29 0.83 0.49 0.28
0.31 0.46 0.25 0.34 0.17
0.58 0.19 0.26 0.47 0.81
Does the data provide sufficient evidence to support the claim that the mean level of the
chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm?
Use a 0.05 significance level to test the claim that these sample levels come from a population
with a mean greater than 0.4 ppm. Use the P-value method of testing hypotheses. Assume that
the standard deviation of levels of the chemical in all such tomatoes is 0.21 ppm.
Choose the correct null and alternative hypotheses associated with this experiment.
Null hypothesis (H0): The mean level of the chemical in tomatoes from this producer is equal to or less than the recommended level of 0.4 ppm.
Given that, the maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.4 parts per million (ppm).
Alternative hypothesis (H1): The mean level of the chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm.
To test the claim, we will use a one-tailed hypothesis test with a significance level of 0.05. The test statistic is calculated by subtracting the mean of the sample from the mean of the population, and dividing the result by the standard deviation of the population.
Test statistic = (Sample mean - Population mean) / Standard deviation of population
Test statistic = (0.465 - 0.4) / 0.21
Test statistic = 2.38
Since the test statistic is positive, we can reject the null hypothesis. The P-value for this test statistic is 0.0095, which is less than 0.05.
Therefore, the data provides sufficient evidence to support the claim that the mean level of the chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm.
Learn more about the random sample here:
https://brainly.com/question/12719656.
#SPJ1
why do the leaves drop?
Why do the leaves drop:
Dropping them gives the plant a fresh start in the spring (naturally)environmental stress, diseaseHope that helps!
PLEASE HELP ASAP W EXPLANATION !!!
Based on the net shown below, what is the type of solid this represents and find the surface area of the solid to the nearest hundredth.
Answer:
326.6 cm²Step-by-step explanation:
The figure has 2 triangular and 3 rectangular faces.
This is a right triangular prism.
Find the area of each face and add up to get the total surface area.
Each triangle has base of 10 and height of:
[tex]h = \sqrt{10^2-5^2} =\sqrt{75} =8.66[/tex] cmTotal surface area is
[tex]A = 2(1/2*10*8.66) + 3(10*8) = 326.6[/tex]You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day. You have 100.00 to spend that day how many hours can you snowboard?
Answer:
6 Hours
Explanation:
Linear Equation: mx+b=y
x variable: Hour
Hourly Fee: $15(x)
(Initial) Rent Fee: $25
Balance: $100
Equation:
15x+25=100
15x+25-25=100-25 -- Separate the constant terms from the x by subtracting 25 from both sides.
15x=100
15x/15=100/15 -- Isolate the x variable by dividing 15 from both sides.
x=6.6.. -- Round down to 6 (not 7) because you can't afford to snowboard for 7 hours with less than $15.
x=6 Hours
answer: 6 hours
Step-by-step explanation:
I did this on a paper
a computer screen is 22cm by 12cm. what is the perimeter of the screen
Answer:
The perimeter is 68 cm.
Step-by-step explanation:
Two sides of 22cm = 44cm
Two sides of 12 cm = 24 cm
44cm + 24cm = 68cm.
Jose has scored 330 points on his math tests so far This semester. To get an for the semester he must score at least 425 points. Write and solve an inequality to find the minimum number of points he must score on the remaining tests,n, to get an A.
Answer:
(425-330)/n=A
Step-by-step explanation:
a. Use the appropriate formula to find the value of the annuity
b. Find the interest
Rate
Periodic Deposit
$6000 at the end of each year
15.5% compounded annually
Time
10 years
The value of the $6000 annuity given annual compounding is $124,836.12.
What is the value of the annuity?
The value of the annuity can be determining using this formula: amount deposited x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
n = number of years r = interest rate$6000 x [(1.155^10) - 1/0.155] = $124,836.12
To learn more about annuities, please check: https://brainly.com/question/24108530
If y - 18 = 14, what is the value of 3(y + 5)?
Answer:
y-18=14
add 18 on both sides
y=32
plug that into the equation below
3(Y+5)
3(32+5)
add 32 and 5
3(37)
multiply
3
....
3 x 37 = 111
Super easy, find the area! 7th grade math
[tex] \: [/tex]
Step-by-step explanation:
It is given that, the height of a triangle is 3cm, and its base is 3cm and we are to find the area of triangle.
[tex] \: [/tex]
To find the area of the triangle, we have to know this formula :
[tex]\\ {\longrightarrow \pmb{\frak {\qquad Area_{(Triangle)} = \: \frac{1}{2} \times Base \times Height \:}}} \\ \\ [/tex]
Now, substituting the values in the formula :
[tex]{\longrightarrow \pmb{\sf {\qquad Area_{(Triangle)} = \: \frac{1}{2} \times 3 \times 3 \:}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad Area_{(Triangle)} = \: \frac{1}{2} \times 9 \:}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad Area_{(Triangle)} = \: \frac{9}{2} \:}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad Area_{(Triangle)} = \: 4.5 \:}}} \\ \\ [/tex]
Therefore,
The area of the triangle is 4.5 cm² .Answer:
4.5cm^2
Step-by-step explanation:
Find area of a square 3*3=9
Half of a square is 9/2=4.5
.nxmdmxmxmdmmddmm mcmcmfmfmcmxmcmc fnnffn
Answer:
what do you want to ask brother...
Step-by-step explanation:
or you post this by mistake.....
A man earns Rs.9600 and he saves Rs.2400 in a month.What percentage does he spends?
Given Information :-
⠀⠀
A man earns rs. 9600He saves Rs. 2400⠀
To Find :-
⠀
The percentage of amount he spends⠀
Solution :-
⠀
To find the percentage of expenditure, we must know how much amount does he really spend, thus :
⠀
➥ Expenditure = Earnings - Savings
➥ Expenditure = Rs. 9600 - Rs. 2400
➥ Expenditure = Rs. 7200
⠀
Now, we can find the percentage,
⠀
[tex] \sf \hookrightarrow Percentage_{expenditure} = \dfrac{Expenditure}{Earnings} \times 100 \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{7200}{9600} \times 100 \qquad \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{72 \cancel{00}}{96 \cancel{00}} \times 100 \qquad \quad \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{ \cancel{72}}{ \cancel{96}} \times 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \cancel \frac{3}{4} \times 100 \qquad \qquad \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = 0.75 \times 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \underline{ \boxed{ \orange {\frak{75\%}}}} \: \star \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the percentage of his expenditure is 75%.
⠀
[tex] \underline { \rule{227pt}{2pt}}[/tex]
⠀
Answer:
5%
Step-by-step explanation:
Earns= Rs 640
Spends= Rs 608
Saves= (Rs 640 - Rs 608) =Rs 32
therefore, 32/640x100
What’s the circumference of circles
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the circumference of given circle ~
Circumference :
[tex]\qquad \tt\dashrightarrow \:c =2 \pi r[/tex]
where,
r = radius = 3 ydnow, let's calculate circumference ~
[tex]\qquad \tt \dashrightarrow \:c = 2 \times \pi \times 3[/tex]
[tex]\qquad \tt \dashrightarrow \:c = 6 \pi \: \: yd[/tex]
Now, let's plug in approximate value of pi :
[tex]\qquad \tt \dashrightarrow \:c = 6 \times 3.14 \: \: [/tex]
[tex]\qquad \tt \dashrightarrow \:c = 18.84 \: \: yd[/tex]
Which is the best example of an out-of-pocket cost?
A. A claim
B. A benefit
C. A deductible
D. A repair estimate
A best example of an out-of-pocket cost is: C. A deductible.
What is an Out-of-Pocket Cost?An out-of-pocket cost can be described as a cost you pay from your own personal reserve, which may include coinsurance, deductibles, copays, and some services covered by an individual's health plan.
Out-of-pocket cost may be reimbursed.
Thus, a best example of an out-of-pocket cost is: C. A deductible.
Learn more about out-of-pocket cost on:
https://brainly.com/question/26217317
Answer: C. A deductible
Step-by-step explanation:
in one year the water level of a lake change is b -3/8 in the water level of the lake continue to change at this rate for 7 years how many inches will the water level of the lake have changed
Answer:
-21/8 or -2 5/8
Step-by-step explanation:
The lake change is the same for all 7 years so you can subtract -3/8 seven times.
-3/8-3/8-3/8-3/8-3/8-3/8-3/8 = -21/8
as a mixed number it's -2 5/8