Answer:
9 hours
Step-by-step explanation:
Number of bracelet varies directly with the amount of time she spends
If number of bracelet =n
Amount of time=t
It means,
n=kt
5 bracelet in three hours
5=k3
k=5/3
To make 15 bracelet,
n=kt
15=5/3*t
15=5/3t
t=15÷5/3
=15×3/5
=45/5
t=9 hours
Kay will spend 9 hours making 15 bracelet
Need help with this please
Answer:
arc UTR = 212°
Step-by-step explanation:
The measure of an arc is congruent to the central angle subtended by the arc, thus
arc UT = 90° , arc TS = 90° and arc SR = 32°
arc UTR = UT + TS + SR = 90° + 90° + 32° = 212°
What is the domain function of -3(x-5)+8
↝ Quadratic Function has the domain of all real numbers. (Even not given the specific domain.)
↝ The equation \(y=-3(x-5)+8\) is a parabola with (5,8) as a vertex. We call the equation \(y=a(x-h)^2+k\) as vertex equation.
The domain of -3(x-5)+8 is all set of real numbers.
↝ Interval Notation ↝
Since the domain of the equation is set of all real numbers.
Therefore, the domain is x ∈ R or (-∞,∞) or -∞<x<∞
There of them work. Recall that the domain of quadratic function is all set of real numbers.
Mona is planning a 1,163 mile driving trip. His car gets an average of 19 mpg, and the cost of gas is about $3.96/gallon. What is the approximate driving cost of the trip? Round answer to the nearest whole number.
I need help asappp
Answer:
$242
Step-by-step explanation:
1,163 divided by 19 is 61.2105263158 which means 61.2105263158 gallons will be used. 61.2105263158 times 3.96 is 242.393684211. 242.393684211 rounded to the nearest whole number is 242.
hope this helps
If y varies directly with x and y is 18 when x is 6, what is the constant of variation?
Answer:
k = 3
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 18 when x = 6 , then
18 = 6k ( divide both sides by 6 )
3 = k
Which of the following are characteristics of the correlation coefficient? Choose all that apply.
A. It must be between -1 and 1.
B. It indictes the percentage of points that lie on the regression line.
C. If correlation is positive, the slope of the regression line is also positive.
D. It must be positive.
E. The correlation coefficient tells you how strong the residuals are.
The characteristics of the correlation coefficient are A. It must be between -1 and 1. C. If the correlation is positive, the slope of the regression line is also positive. E. The correlation coefficient tells you how strong the residuals are.
The correlation coefficient is a statistical measure that quantifies the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. Therefore, option A is correct.
Regarding option B, the correlation coefficient does not indicate the percentage of points that lie on the regression line. Instead, it measures the overall strength and direction of the relationship between the variables.
Option C is correct because if the correlation is positive, it means that as one variable increases, the other variable tends to increase as well. This positive relationship is reflected in the positive slope of the regression line.
Option D is incorrect because the correlation coefficient can be positive, negative, or zero, depending on the nature of the relationship between the variables.
Option E is correct. The correlation coefficient provides information about the strength of the relationship between the variables, which can be used to assess the strength of the residuals or the deviations from the regression line.
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The university needs to transport 421 fans from the stadium parking lot to the football game. If a van holds 10 people, how many fans will be in the partially full van?
(x 2 + 3) (x 3 + 4x)(x 2 + x - i - xi) = 0
The possible values of x according to the give. equation are; 0, ±√3i, ±2i, i, -1.
What are the possible values of x?The possible values of x in the equation given in the task content represent the zeroes of the equation and can be determined as follows;
(x²+3) (x³+4x) (x²+x-i-xi) = 0.
Hence, by further factorisation; we have;
x(x²+3) (x²+4) (x-i) (x+1) = 0.
The possible values of x are therefore;
x = 0;
x²+3 = 0; x = ±√3i
x² +4 = 0; x = ±2i
x -i = 0; x = i.
x +1 = 0; x = -1
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A jury pool consists of 12 angry people and 8 chill people. How many 12 member juries:Can be made?Consist of 7 chill and 5 angry people?Consist of at least 10 angry people?
Given that the number of angry people=12 and the number of chill peoples=8.
The total number of peoples=The number of angry people + the number of chill people.
The total number of people in juries=12+8=20
Let A be an event that made 12 members of juries consists of 7 chill and 5 angry people.
The probability of A =P(A)
\(P(A)=\frac{8C_7+12C_5}{20C_{12}}\)\(=(\frac{8!}{7!(8-7)!}+\frac{12!}{5!(12-5)!})\div\frac{20!}{12!(20-12)!}\)\(=(\frac{8\times7!}{7!}+\frac{12\times11\times10\times9\times8\times7!}{5\times4\times3\times2\times(7)!})\div\frac{20\times19\times18\times17\times16\times15\times13\times12!}{12!\times8\times7\times6\times5\times4\times3\times2}\)\(=800\div8997.857=0.0889\)\(P(A)=0.09\)Hence only one 12 member jury pool can be made that consist of 7 chill and 5 angry people.
Hence the answer is 1.
Find the range of the data set shown in the table below.
Data Set A
1.76
1.47
1.89
0.84
1.72
Answer:
1.05
Step-by-step explanation:
range is the difference between the maximum value and minimum value
thus, range = 1.89-.84=1.05
Find the value of 3x²+2x+5, if x = -7.OA. 138B. -156C. 33D. 432E. 154
Given:
\(3x^2+2x+5\)To Determine: The value of the expression when x = - 7
Solution
Substitute x = -7 into the expression
\(\begin{gathered} 3x^2+2x+5 \\ =3(-7)^2+2(-7)+5 \\ =3(49)-14+5 \\ =147-9 \\ =138 \end{gathered}\)Hence, the value of the expression is 138, OPTION A
Question 11 Objective: Solve for unknown side lengths of right triangles using trigonometric ratios. A right triangle has one angle that measure 27. The adjacent leg measures 29.6 cm and the hypotenuse measures 40 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = 1/2bh а
Answer:
A≈ 268.76 sq cm.
Step-by-step explanation:
sine 27 = opposite side/hypotenuse
sine 27 = x/40
sin 27(40) = x
18.15961999 =x
18.16 = x
A = 1/2(29.6)(18.1596199)
A = 268.7623759
A≈ 268.76 sq cm.
A house purchased for $216,500 gains 2% of its value every year. If this growth rate continues, in how many years will the house be worth twice its original value
Answer: 36 years
Step-by-step explanation:
You can use the Rule of 72 to calculate how long it might take the house to double in value.
The Rule of 72 works by dividing 72 by the interest rate as a whole number and the result will be a rough estimate of the time in years it will take for the investment to double in size:
= 72 / 2
= 36 years
You were lifting weights with 220,000 and a volume of 1000cm^3. what is the density?
Answer:
220g/cm³
Step-by-step explanation:
Given parameters:
Mass of the weight = 220000g
Volume = 1000cm³
Unknown:
Density of weight = ?
Solution:
Density is the mass per unit volume of a substance.
Mass is the amount of matter in a substance.
Volume is the amount of space a substance occupies
Density = \(\frac{mass}{volume}\)
Input the parameters and solve
Density = \(\frac{220000}{1000}\) = 220g/cm³
If you have a bit of honesty and sincerity, kindly avoid spamming just for points!
A production process consists of consumption of the following material in Kgs:
49, 50, 38, 60, 75 of materials A, B, C, D. E respectively. How many angle difference between C & D in the pie chart?
a. 25.12% b. 29.12% C.38.15
Need solution with some explanation
Answer:
29.12%
Step-by-step explanation:
Given that :
A = 49
B = 50
C = 38
D = 60
E = 75
Total = (49 + 50 + 38 + 60 + 75) = 272
Pie chart % for each :
A = (49 / 272) * 360 = 64.85
B = (50 / 272) * 360 = 66.18
C = (38 / 272) * 360 = 50.29
D = (60 / 272) * 360 = 79.41
E = (75 / 272) * 360 = 99.26
Difference between C and D
(79.41 - 50.29) = 29.12%
Which expression is equivalent to −30+(−40)+(−70) ?
−(30−40)+(−70)
−30+(−70)+(−40)
30+40+70
−30−(40−70)
Answer:
the second on 222222222222
2(7x-7)=14x-20
with work plss and ty :)
Answer: 0= negative 6
Step-by-step explanation:
Find the total surface area of this triangular prism. first correct answer will get brainiest!!!
THANK YOUUU
Answer:
1930.47
Step-by-step explanation: formula=bh+(surface 1+surface 2+surface 3)H
how do you solve x - 2y = 10; for y
Answer:
Y=5
Step-by-step explanation:
Tom has completed 26 deliveries so far this week. He needs to make 65 deliveries for the week.What percentage of his deliveries has Tom completed
Tell whether the figure has line symmetry. If so how many lines of symmetry are there?
It cost Alexandra $9.90 to send 198 text messages. How many text messages did she send if she spent $2.35?
Answer:
47
Step-by-step explanation:
The area of a circle is 47.39cm2. find the length of the radius rounded to 2 dp.
The length of the radius rounded to 2 decimal points is 3.88cm.
In geometry, the area enclosed by a circle of radius r is pie π\(r^2\).
How to round decimals?
Rounding decimals consists of rounding a decimal number to a certain number of decimal places, to save time and help us express really long numbers in shorter terms. There are certain rules to follow when rounding a decimal number. Put simply, if the last digit is less than 5, round the previous digit down. However, if it’s 5 or more than you should round the previous digit up. So, if the number you are about to round is followed by 5, 6, 7, 8, 9 round the number up. And if it is followed by 0, 1, 2, 3, 4 round the number down.
The area of circle is \(47.39cm^2\).
Putting it in the formula we get
\(47.39cm^2\) = π\(r^2\)
\(r^2\) = 47.39 / π
r^2 = 15.0847
r = 3.88 cm
Hence the length of the radius rounded to 2 decimal points is 3.88cm.
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Keith added 15 fish to his pond over a period of 5 days. He added the same number of fish each day what was the change in the number of fish in the pond each day?
ik this is probably easy I'm just lazy it 12 am rn
60 POINTS - write in exponential form please!!! and show all steps!
Step-by-step explanation:
(∜(6x))³
The fourth root (∜) is the same as raising to the ¼ power.
((6x)^¼)³
(6x)^¾
Only answer if you will help thank you
A manufacturer is considering building a new and better mousetrap. She estimates the probability that the new mousetrap will be successful is . If it is successful, it would be able to make $120,000. Of course, she would make nothing if it were unsuccessful. The development costs for the mousetrap are $98,000. What is the expected value?
8,000
-$8,000
$22,000
-$32,000
Answer:
$22,000
Step-by-step explanation:
Subtract the development cost from the amount it would make.
And boy, that's one expensive mousetrap.
How do you do the second one?
Answer:
9
Step-by-step explanation:
First, all the sides of a rhombus are congruent (equal).
So, we just set the side values equal to each other.
This gives us:
6x-5 = 4x+13
-4x -4x
2x-5 = 13
+5 +5
2x = 18
Then, divide both sides by 2
x = 9
Hope this helps!
Find the volume and surface area of a square pyramid. Volume of a pyramid: v = 1/3(area of base) x (height) surface area of a pyramid: a = 1/2(perimeter of base) x (slant height) + (area of base) a pyramid has a height of 4. 7 in. And a slant height of 5. 2 in. Its base is a square with sides of 3. 5 in. Find the pyramid's volume and surface area. Volume (to the nearest tenth) = in3 surface area (to the nearest tenth) = in2.
The Volume of the Pyramid=19.19in³
Surface Area of the Pyramid=48.65in²
What is meant by volume?Volume is a unit of measurement for the area occupied in three dimensions. It is widely quantified and measured using SI-derived units, alternative imperial units, or US standard units (such as the gallon, quart, cubic inch). Volume and length (cubed) have a similar meaning.
First, volume was calculated using naturally occurring vessels with a similar shape, and then using standardized containers. Calculating the volume of numerous common three-dimensional forms is made simple by arithmetic formulas. The volumes of increasingly complicated shapes can be calculated using integral calculus.
Given that,
Height of the pyramid =4.7
Pyramid's slant height= 5.2
Base of pyramid is a square with side=3.5
Volume of the pyramid=(1/3)(3.5×3.5)×(4.7)
=19.19 in³
The surface area of a pyramid=((1/2)×(4×3.5)×5.2)+(3.5×3.5)
=18.65in²
Therefore, the volume of the pyramid=19.19 in³
And the surface area of the pyramid=18.65in²
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What is the value of y?
Enter your answer in the box.
simplify the expression step by step explanation: 80−−√−2 45−−√
To simplify the expression 80−−√−2 45−−√, we can use the fact that the square root of a number squared is equal to the number itself.
First, we can simplify the expression inside the square root:
80−−√−2 45−−√ = √(80−−2 45−−)
Then, we can simplify the expression inside the parentheses:
√(80−−2 45−−) = √((80−−2) 45−−)
Using the fact that the square root of a number squared is equal to the number itself, we can simplify the expression further:
√((80−−2) 45−−) = √(80−−2 * 45−−) = √(80−−2 * 45)
Finally, we can simplify the expression inside the parentheses:
√(80−−2 * 45) = √(80 * 45) = √(3600) = 60
Therefore, the simplified form of the expression 80−−√−2 45−−√ is 60.
Find the percent change and tell whether it is a percent decrease or
increase.
Original amount: 30
End amount: 45