Answer:
(4x²+36) feet²
Step-by-step explanation:
Area of the pool = L × W
Take width as x and Length as 4x
4x × x = (4x²)feet² {area of pool}
Area of walkway = L × W
6 × 6 = 36feet²
Total area = 4x² + 36 feet²
If x plus 3/4 = 1, then which point on the number line could be x?
Answer:
[tex]x = \frac{1}{4}[/tex]
Step-by-step explanation:
Step 1: Subtract [tex]\frac{3}{4}[/tex] from 1
[tex]1 - \frac{3}{4}\\\\= \frac{1}{4}[/tex]
Therefore, the point could be [tex]\frac{1}{4}[/tex]
You get a single payment loan of $4,400 at an interest rate of 12% the term of the loan is 172 days how much exact interest will you pay
9514 1404 393
Answer:
$248.81
Step-by-step explanation:
The interest formula is ...
I = Prt
where principal P earns interest at annual rate r for t years. Here, t is a fraction of a year: 172/365. The interest is ...
I = $4400×0.12×172/365 ≈ $248.81
You will pay interest of $248.81.
Answer:
$ 248. 81 is the answer.Step-by-step explanation:
[tex] \carryonlearning[/tex]600% of what number is 4,200
Answer: Trust me pleas, 14.29%.
Step-by-step explanation: On my dead moms grave.
Answer:
700
Step-by-step explanation:
600% of 700 is equivalent to multiplying them:
600% × 700 = ?
600% × 700 =
(600 ÷ 100) × 700 =
(600 × 700) ÷ 100 =
420,000 ÷ 100 =
4,200
A rectangular region is removed from another rectangular region to create the shaded regions shown below. Find the combined area of the
shaded regions
Syd
yd
16 yd
Answer:
50 yards
Step-by-step explanation:
Answer: 96yd²
Step-by-step explanation:
Multiply:
Larger Rectangle: 16 * 8 = 128ft²
Smaller Rectangle: 8 * 4 = 32ft²
Subtract both your solutions:
128 - 32 = 96ft²
Final Answer:
96ft²
Hope this helped! :)
The volume of a sphere is 113.04 cubic feet. Find the radius. Use 3.14 for pi.
Helppppppp pls
Which expression best matches the statement:
Twelve less than the product of three and a number.
12 - 3n
3n - 12
3 + 7 - 12
12 - 3 + n
Answer: 3n - 12
Product means multiplication. So the 3 and n are being multiplied. If 12 is less than, then that means it is being subtracted from 3n, not the other way around.
HELP PLEASE EDCITE !!!!
Answer:
between 30 and 60
Step-by-step explanation:
Which rules define the function graphed below?
eOf
y
4
0.3)
3
(3,2)
1
2
3
4
В
7
x
2
3
Answer: y= 2x+3; y=-1/3x+3
Step-by-step explanation:
First option on edge
y = 2x + 3 and y = -(1/3)x + 3 define the function graphed below.
The correct option is 1.
What is a graph?Graph, a visual depiction of statistical information or a relationship between variables that serves a purpose. Graphs serve a predictive purpose because they have the advantage of displaying broad trends in the quantitative behavior of data. But, as just approximations, they may be imprecise and occasionally deceptive. The majority of graphs include two axes: a horizontal axis that represents a set of independent variables and a vertical axis that represents a set of dependent variables. A broken-line graph, in which time is typically the independent variable, is the most typical type of graph.
The graph of the functions and the points on the line is given.
The points for 1st function = (0, 3)
The points for 2nd function = (3, 2)
The given function:
y = 2x + 3
Substituting (0, 3)
3 = 2(0) + 3
3 = 3
Similarly, for y = -(1/3)x + 3
Substituting (3, 2)
2 = -(3/3) + 3
2 = -1 + 3
2 = 2
Hence, y = 2x + 3 and y = -(1/3)x + 3 define the function graphed below.
To learn more about graph, click:
brainly.com/question/17267403
#SPJ7
bob bought three more then twice as many apples as Kathy. Together they ought 15 apples. How many did each of them buy?
Answer:
Kathy bought 4 and Bob bought 11.
Step-by-step explanation:
since we already know he bought 3 more than her we can subtract 3 from 15 which is 12, since he bought twice more than her we can divide 12 by 3 which is 4. Multiply by 2 and you get 8, and when you add it to the subtracted 3 you get 11. So she bought 4 and he bought 11
What is 34 x 45 - 14x (5235+-42) / 24x
Answer:
3(2040x-4039)/4x
Step-by-step explanation:
Two computer stores recorded the number of computers sold in a week along with the sizes of their hard drives. Number of Computers 20 GB drive 40 GB drive 80 GB drive 160 GB drive Store 1 13 11 19 9 Store 2 109 44 57 7 Use this data and a .05 significance level to test the claim that the type of hard drive and the store where the computers were bought are independent. g
Answer:
The calculated χ² = 21.455 falls in the critical region χ² ≥ 7.815 so we reject the null hypothesis that the type of hard drive and the store where the computers were bought are dependent and accept the claim the type of hard drive and the store where the computers were bought are independent.
Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: the type of hard drive and the store where the computers were bought are dependent
against the claim
Ha: the type of hard drive and the store where the computers were bought are independent
2) the significance level alpha is set at 0.05
3) the test statistic under H0 is
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
which has an approximate chi square distribution with ( 4-1) (2-1)= 3 d.f
4) Computations:
Using the calculator we summarize the results as
Under H0 , the observed frequencies are :
Observed Expected E χ²= (O-E)²/E
13 (23.58) [4.75]
11 (10.63) [0.013]
19 (14.69) [1.264]
9 (3.09) [11.282]
109 (98.42) [1.138]
44 (44.37) [0.003]
57 (61.31) [0.303]
7 (12.91) [2.703]
∑ 21.455
5) Conclusion:
The calculated χ² = 21.455 falls in the critical region χ² ≥ 7.815 so we reject the null hypothesis that the type of hard drive and the store where the computers were bought are dependent and accept the claim the type of hard drive and the store where the computers were bought are independent.
The p-value is .000085.
The result is significant at p < .05 meaning the claim is accepted.
Please answer the question and provide a solid definition of what an expression is, thank you :)
Answer:
Answers are: 2x - 7, and 2x -7 = 14
Step-by-step explanation:
An expression must have variables must have a coefficient, a number that is multiplied divided added or subtracted by our variable. The variable is a place holder.
So our answers would be 2x - 7, and 2x -7 = 14
A bag of skittles contains 18 yellow, 12 green, 20 red, 10 orange, and 14 purple
skittles. If one skittle is drawn at random, what is the
P( purple | color name with six letters )
===========================================================
Explanation:
The vertical bar is a shorthand way of saying "Given".
Writing P(A | B) means "probability of A given B"
In this case, we are given that "color name with six letters", so we are 100% certain that whatever was picked has six letters in the color name. That rules out green (5 letters) and red (3 letters). We'll ignore these colors entirely.
Instead we focus on yellow, orange, and purple.
Add up the frequencies for these colors to get: 18 yellow + 10 orange + 14 purple = 42 total
Of that total, there are 14 purple, so....
14/42 = (1*14)/(3*14) = 1/3
represents the probability we're after.
There's a 1 in 3 chance of getting a purple skittle if we are told, or we know 100%, that whatever color we picked has 6 letters in the name.
Side note: 1/3 = 0.333 = 33.3% approximately.
Please help !
Find a.
Round to the nearest tenth:
27 cm
102
28
a = [? ]cm
Law of Sines: sin A
sin C
sin B
b
a
A=?
Given:
In the given triangle the measure of two angles are 102 degree and 28 degrees and the sides of the triangle are a, 27 cm, c.
To find:
The value of a.
Solution:
Let the given triangle be ABC, such that,
[tex]m\angle B=28^\circ[/tex]
[tex]m\angle C=102^\circ[/tex]
[tex]b=27\ cm[/tex]
Using angle sum property of triangles, we get
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
[tex]m\angle A+28^\circ+102^\circ=180^\circ[/tex]
[tex]m\angle A=180^\circ-28^\circ-102^\circ[/tex]
[tex]m\angle A=50^\circ[/tex]
According to the Law of Sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]
[tex]\dfrac{\sin 50^\circ }{a}=\dfrac{\sin 28^\circ }{27}[/tex]
[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]
[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]
[tex]a\approx 44.06[/tex]
Therefore, the value of a is about 44.06 cm.
Plz help!!!
Which equation represents the graph?
Answer:
Option C : y=|x|-6
Step-by-step explanation:
What is the length of the segment connection the points that have the coordinates (-9, 8) and (2, -5) A √130 B √218 C √290 D √338
Answer:
Step-by-step explanation:
At Gabrielle's Restaurant, 2/5 of the dishes on the menu are vegetarian, or the vegetarian
dishes, 3/4 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta
dishes?
There are 165 deer in a state park. The population is increasing at the rate of 12% per year. Enter a prediction for how long it will take the population to reach 300. If necessary, round your answer to the nearest tenth.
The deer population will reach 300 in approximately _____
years.
Create a proportion for each set of similar triangles. Then solve the missing parts
Answer:
?=24
Step-by-step explanation:
12=?
13 26
solve for ?
Ratio of the ages of three children is 2:5:1. The sum of their ages is 32 years. Find the ages of the youngest and the eldest
child.
Answer:the ages of the youngest and the eldest is 4 years and 20 Years respectively
Step-by-step explanation:
Ratio of the ages of three children is 2:5:1.
Total ratio =2+5+1=8
So that
the 1st Child's age =2/8 x 32=8 years
2nd Child's age =5/8 x 32= 20 years
3rd Child's age =1/8 x 32= 4 years
Therefore the ages of the youngest and the eldest is 4 years and 20 Years respectively.
Which rational number represents a decrease in water level from 8 feet to 6 feet?
A.
6
B.
2
C.
−
2
D.
−
6
Answer:
C
Step-by-step explanation:
Plz help this if you want points
Answer:
First Question:
A) -15+20x B) 36x+28
Second Question:
-10/5, 1/25, 1/2, 3/5, 5/8
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify your results using the integration capabilities of a graphing utility. y = e^(x-1), y=0, x=1, x=2
Answer:
the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;
[tex]\frac{\pi }{2} [e^2 - 1 ][/tex] or 10.036
Step-by-step explanation:
Given the data in the question;
y = [tex]y = e^{(x - 1 )[/tex], y = 0, x = 1, x = 2.
Now, using the integration capabilities of a graphing utility
y = [tex]y = e_2}^{(x - 1 )_[/tex], y = 0
Volume = [tex]\pi \int\limits^2_1 ( e^{x-1)^2} - (0)^2 dx[/tex]
Volume = [tex]\pi \int\limits^2_1 ( e^{x-1)^2 dx[/tex]
Volume = [tex]\pi \int\limits^2_1 e^{2x-2}dx[/tex]
Volume = [tex]\frac{\pi }{e^2} \int\limits^2_1 e^{2x}dx[/tex]
Volume = [tex]\frac{\pi }{e^2} [\frac{e^{2x}}{2}]^2_1[/tex]
Volume = [tex]\frac{\pi }{2e^2} [e^4 - e^2 ][/tex]
Volume = [tex]\frac{\pi }{2} [e^2 - 1 ][/tex] or 10.036
Therefore, the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;
[tex]\frac{\pi }{2} [e^2 - 1 ][/tex] or 10.036
HELP MEEE IM TIMED. THANK UUU
Answer:
It's the third option, y = [tex]\frac{1}{3}[/tex] x + 2
Step-by-step explanation:
It is rise over run.
This means you go up one, then go three right.
Answer:
Read below please :)
Step-by-step explanation:
when writing an equation, you use rise over run, or, [tex]\frac{rise}{run} or ( \frac{y}{x} )[/tex], so you'd get 3/1 (3) + 6/2 (3) as you can see, y = half of x. So, because you know what x(6), and what y(3) is, just imput the answers and see which makes sense.
Hope this helps :)
It's the 3rd
Anyone smart at math?
Answer:
The function f(x) = 4.95x represents the cost to purchase x pounds of chocolate from a candy company. The function g(x) = 0.99x + 2.25 models the cost to ship x pounds of chocolate from the company. Write a function, h(x), that models the total cost to purchase and ship x pounds of chocolate from the company.
Step-by-step explanation:
boom it is big now
Which situation can be represented by -85+85 choose all that apply
X-2 is a factor of f(x) = x3 – 2x2 + ax +
+18. State the remainder when f(x) divided
by x-9.
Answer:
answer is in the picture above
Answer:
remainder: 504
Step-by-step explanation:
x³ – 2x² + ax +18 = x²(x-2) - 9*(x-2)
a = -9
(x³ – 2x² - 9x +18) / (x-9) = (x² +7x + 54)(x-9) + 504 ... long division
A paper company will manufacture 167 tons of paper this year. Each year, the company produces 18 more tons of paper
than in the previous year. How many total tons of paper will the company produce in the next 4 years (including this year
n = 4)?
Answer:776
Step-by-step explanation:
The product of 4 and triple the number 2
Answer:
32
Step-by-step explanation:
4 x 2 x 2 x 2 = 32
Follow the steps for dividing decimals. Then, round to two decimal places (hundredths).
1.476)6.380
Answer:
4.32
Step-by-step explanation:
The steps required are:
4.322
1.476 )6.380
5.904
____
0.476
0.4763
0.4428
_____
0.0335
0.03358
0.02952
_____
0.00406
0.004060
0.002952
_____
0.0011080
Therefore, the answer is 4.32.