How are the graphs of the functions f(x) = V16 and g(x) = 3/64 related?
The functions f(x) and g(x) are equivalent.
The function g(x) increases at a faster rate.
The function g(x) has a greater initial value.
The function g(x) decreases at a faster rate.
Answer:
Step-by-step explanation:
hello :
* 64 = 4^3 so : g(x) = (∛4^3)^x = 4^x
* 16=4² so : f(x) = (√4²)^x = 4^x
the functions f(x) and g(x) are equivalent
The weight distribution of parcels sent in a certain manner is normal with mean of 12 lb and standard deviation of 3 lb. The parcel service wishes to establish a weight value c beyond which there will be a surcharge. What value of c is such that 99% of all parcels are under the surcharge weight?
Answer:
21.16
Step-by-step explanation:
Starting from the theory we have the following equation:
[tex]fi*P(x<c-1) = 0.99[/tex]
Using the data supplied in the exercise, we have subtracting the mean and dividing by the standard deviation:
[tex]P( z \leq \frac{c-1-12}{3.5}) =0.99/fi[/tex]
solving for "c", knowing that fi is a tabulating value:
[tex]\frac{c-13}{3.5}=0.99/fi\\\frac{c-13}{3.5}=2.33\\c-13=2.33*3.5\\c = 8.155 +13\\c = 21.155[/tex]
therefore the value of c is equal to 21.16
PLZZZZZ HELP!!!!! WILL MARK BRAINLIEST. solve for t
–4(t − 12) + 12 = –4
t =
Answer:
t = 16
Step-by-step explanation:
–4(t − 12) + 12 = –4
-12 -12
-4(t - 12) = -16
/-4 /-4
t - 12 = 4
+12 +12
t = 16
or
–4(t − 12) + 12 = –4
distribute the -4
-4t + 48 + 12 = -4
simplify
-4t + 60 = -4
-60 -60
-4t = -64
/-4 /-4
t = 16
Answer:
64/3
Step-by-step explanation:
The lower supports are and the area of the two supports is square meters. The upper arch can be decomposed as one semicircle with radius meters minus a semicircle with radius 3 meters. The area of the archway is (π + 24) square meters
Answer:
The lower supports are Congruent Rectangles and the area of the two supports is 24 square meters.
The upper arch can be decomposed as one semicircle with radius 6 meters minus a semicircle with radius 3 meters.
The area of the archway is (13.5 π + 24) square meters.
Step-by-step explanation:
See attachment for the firgure,
In order to determine the area of archway = The area of upper support + area of lower support.
As given, the lower support are two congruent rectangles consists of dimension 3 m × 4 m
Therefore, the area of lower support can be written as,
The area of lower support = 3 × 4 + 3 × 4 = 12 + 12 = 24 square m.
Now, the upper support arch can be decomposed as the two concentric semi circles having radius 3 m and 6 m,
Hence, the area of the upper support = Area of semi circle having radius i.e 6 m - Area of semi circle having radius i.e 3 m
=> π6²/2 - π3²/2= 27π/2= 13.5π square m
Therefore, the area of the archway = (13.5 π + 24) square meters
Answer:
1. congruent rectangles
2. 24
3. 6
4. 13.5
Step-by-step explanation:
Got it right, have a nice day!
Write 1.7.7.7.7.7 using an exponent
Answer:
1^7 is the answer you are looking for
Step-by-step explanation:
A home decor store donated a percent of every sale to charity .The total sales were $7,400 so the store donated $148.What percent of $7,400 was donated to charity
The correct answer is 2%. The store donated 2% of $7,400 to charity.
To find out what percent of $7,400 was donated to charity, we need to divide the amount donated by the total sales and then multiply by 100 to convert it into a percentage.
Let's denote the percent donated as P. The amount donated is given as $148, and the total sales are $7,400. The relationship between the percent donated, the total sales, and the amount donated can be expressed as:
[tex]\[ P \times 7,400 = 148 \][/tex]
To find P, we divide both sides of the equation by 7,400:
[tex]\[ P = \frac{148}{7,400} \][/tex]
Now, we calculate the value of P:
[tex]\[ P = \frac{148}{7,400} = \frac{2}{100} \] \[ P = 0.02 \][/tex]
To express P as a percentage, we multiply by 100:
[tex]\[ P = 0.02 \times 100 \] \[ P = 2\% \][/tex]
1. What is the volume in cubic inches of the prism?
3inx5inx8in
Answer:
120 in or 60in or 60^2
Step-by-step explanation:
brainly pls
I need to find the surface area
Answer:
389.846
Step-by-step explanation
Sorry if its wrong
Pete is conducting a survey to determine his customers’ overall satisfaction about the quality of his company’s products. He sends out surveys to the 5 customers who have purchased the largest number of items over the past year. Are his results likely to be representative of the population he is trying to analyze? Explain.
The sample is from the right population, his customers. However, because he is surveying such a small number of people and only asking his best customers (who are probably the most satisfied, or they would not buy so much from him), the results are going to be biased, most likely positive, and not representative of his entire customer base.
No, Because, when to do some sort of analysis (such as this one), you need to take (for example) a Random sample from the population of the problem that is being analyzed.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Pete is conducting a survey to determine his customers’ overall satisfaction about the quality of his company’s products.
Let an example a Random sample from the population of the problem that is being analyzed.
In this example (problem), Pete wants to evaluate overall satisfaction of customers, so he should not send the surveys only to the customers who have purchased the largest number of items, but to the randomly selected customers, in order to obtain representative results of the overall satisfaction.
If he sends the surveys only to the customers who have bought the largest number of items, he will obtain very high satisfaction of customers, as results, of course, and this will not be representative results.
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Two angles in a triangle have measures of 23 and 98 what is the third measure of the third angle
Answer:
59
Step-by-step explanation:
As far as I know every triangle has to equal 180°
So if you add 98+23 you would get 121
subtract that from 180 and get 59
Hope this helps!
An aquarium Is 8 feet long , 5feet wide , and 5.5 feet deep . What is the volume of the tank ?
Answer:
220 ft^3
Step-by-step explanation:
Assuming a rectangular tank,
V = l*w*h
= 8*5*5.5
=220 ft^3
If x represents the amount Rita earns each week, which expression represents the amount she earns in a year?
x+52
52-
Determine the length of arc JL. A) 25/ 9 π B) 5 /13 π C) 25 /18 π D) 14 /17 π
Answer:
Option C is the right choice where length of the arc is 25/18π.
Step-by-step explanation:
Given:
Length of the radius of the circle, [tex]r[/tex] = 2 unit
Angle between the arc, [tex]\theta[/tex] = 125°
We have to find the arc length.
Let the arc length JL be "a" unit.
Formula to be used:
Arc length = (Circumference times angle ) / 360°
Using the above formula and plugging the values.
⇒ Arc length, JL, 'a' = [tex]2\pi r\times (\frac{\theta}{360})[/tex]
⇒ [tex]a=2\pi r\times (\frac{\theta}{360})[/tex]
⇒ [tex]a=2\pi (2)\times (\frac{125}{360})[/tex]
⇒ [tex]a=4\pi \times (\frac{125}{360})[/tex]
⇒ [tex]a=\frac{4\pi \times 125}{360}[/tex]
⇒ [tex]a=\frac{500\pi }{360}[/tex]
⇒ [tex]a=\frac{50\pi }{36}[/tex]
⇒ [tex]a=\frac{25\pi }{18}[/tex] ... reducing to lowest term.
So,
The length of the arc JL is 25/18π and option C is the right choice.
In this question, all lengths are in cm. ABC. 3x-4, 2x+12, 7x-2. Given that AB:AC = 1:2 Show that AC:BC = 2:3
Answer: AC : BC = 22 : 33 = 2 : 3
Step-by-step explanation:
Since we have given that
AB = 3x-4
AC= 2x+12
BC = 7x-2
And AB: AC = 1 : 2
and To show : AC : BC = 2 : 3
So, it becomes ,
[tex]\dfrac{AB}{AC}=\dfrac{3x-4}{2x+12}=\dfrac{1}{2}\\\\2(3x-4)=2x+12\\\\6x-8=2x+12\\\\6x-2x=12+8\\\\4x=20\\\\x=\dfrac{20}{4}\\\\x=5[/tex]
So, AC: BC becomes:
[tex]\dfrac{AC}{BC}=\dfrac{3x-4}{7x-2}=\dfrac{2(5)+12}{7(5)-2}=\dfrac{22}{33}=\dfrac{2}{3}[/tex]
Hence, proved.
Step-by-step explanation:
First find x:
AB:AC=1:2
2(3x-4)=2x+12
6x-8=2x+12
4x-8=12
4x=20
x=5
Substitute:
AC=2x+12
=(2x5)+12
=10+12
=22
BC=7x-2
=(7x5)-2
=35-2
=33
22/33=2/3
Therefore AC:BC = 2:3
okay so The top of the slide is 12 feet from the ground and has an angle of depression of 53 degree . What is the length of the slide? Round your answer to the nearest whole number. please help!!!
To find the length of the slide, you can use trigonometry and the angle of depression. The length can be found using the tangent function, and rounding to the nearest whole number gives an answer of approximately 9 feet.
Explanation:To find the length of the slide, we can use trigonometry and the angle of depression. We can use the tangent function, which is opposite over adjacent, to find the length of the slide. In this case, the opposite side is the height of the slide (12 feet) and the adjacent side is the length of the slide. So we have:
tan(53 degrees) = opposite/adjacent
tan(53 degrees) = 12/adjacent
To solve for the length of the slide, we can rearrange the equation:
adjacent = 12/tan(53 degrees)
Using a calculator, we can find that the length of the slide is approximately 9 feet when rounded to the nearest whole number.
work out the following questions
Answer:
work out the following questions
Step-by-step explanation:
a.
[tex] \frac{3}{4} \times \frac{1}{2} [/tex]
[tex] \frac{3}{8} [/tex]
Now
b.
[tex] \frac{4}{7} \times \frac{21}{40} [/tex]
Now here we can see 21 is 3 times of 7 and 40 is 10 times of 4 so
[tex] \frac{3}{10} [/tex]
Hope this helps.
Toms parents let him choose whether to play his favorite board games for 7/8 hours or 8/8 hours explain which amount of time you think tom should choose and why ?
Answer:
8/8
Step-by-step explanation:
8/8 is equal to one, so it would mean he would get to play his favorite board games for a full hour.
7/8 is only about 50 or so minutes, which is less than an hour.
If Tom chooses 8/8 of an hour, he will get to play longer.
if y varies inversely with x, and y = 4.75 when x =38, find y when x = 50
Answer:
y=3.61
Step-by-step explanation:
y=k/x
4.75= k/38
(4.75)(38)=k
k=180.5
y=180.5/50
y=3.61
Final answer:
y varies inversely with x, which means y = k/x. With y = 4.75 when x = 38, the constant k equals 180.5.
Hence, when x = 50, y equals 3.61.
Explanation:
If y varies inversely with x, this means the relationship between y and x can be described by the equation y = k/x, where k is a constant. Given that y = 4.75 when x = 38, we can first find the constant k by multiplying y by x:
k = y * x = 4.75 * 38 = 180.5
Now that we have found the constant k, we can use it to find y when x = 50. Using the inverse variation formula again, we have y = k/x:
y = 180.5 / 50 = 3.61
Therefore, when x is 50, y is 3.61.
Which describes the relationship between 15,700 and 157,000? A 15,700 is 1/10 of 157,000 B 157,000 is 1/10 of 15,700 C 15,700 is 1/100 of 157,000 D 157,000 is 1/100 of 15,700
Answer: 15,700 is 1/10 of 157,000 (A)
Step-by-step explanation:
The relationship between 15,700 and 157,000 is that 15,700 is 1/10 of 157,000
1/10 × 157,000 = 15,700
A 15,700 is 1/10 of 157,000
= 1/10 × 157,000
= 15700 (Correct)
15700 equals 15700
B 157,000 is 1/10 of 15,700
= 1/10 × 15700 = 1570 (Wrong)
1570 is not equal to 157000
C 15,700 is 1/100 of 157,000
= 1/100 × 157,000 = 1570 (Wrong)
1570 is not equal to 15700
D 157,000 is 1/100 of 15,700
1/100 × 15700 = 157 (Wrong)
157 is not equal to 157000
I need help with #1 and #2 how do I do this?
Answer:
2
Step-by-step explanation:
2
Answer:
The answer to your question is below
Step-by-step explanation:
Data
1) AB = 6 BC = 4 AE = 9 ED = ?
Use proportions to solve this problem
AB / AE = 6/9 (AB + BC) / (AE + ED) = (6 + 4) / (9 + ED)
-Equal both proportions
6/9 = 10 / (9 + ED)
-Solve for ED
9 + ED = 10(9)/ 6
-Simplification
9 + ED = 90/6
9 + ED = 15
ED = 15 - 9
-Result
ED = 6
2.- AB = 12 AC = 16 ED = 5 AE = ?
Use proportions to solve this problem
AE / AB = AE / 12 AD/AC = (AE + 5) / 16
-Equal both proportions
AE/12 = (AE + 5 ) / 16
-Solve for AE
16AE = 12(AE + 5)
16AE = 12AE + 60
16AE -12AE = 60
4AE = 60
AE = 60/4
-Result
AE = 15
If 5^3b-1 = 5^b-3 what is the value of b?
Answer:
b = -1
Step-by-step explanation:
Your equation is ...
(5^3)b -1 = 5^b -3
This is a mix of exponential and linear terms, and cannot be solved algebraically.
___
We suspect you might mean ...
5^(3b -1) = 5^(b -3)
We can equate the exponents to find a value for b:
3b -1 = b -3
2b = -2 . . . . add 1-b to both sides
b = -1 . . . . . . divide by 2
Calculate the portion of skiing in degrees Soccer - 5 hours Jogging - 20 Hours Walking - 10 hours Skiing - 5 hours Football - 10 hours Total - 50 hours
Answer: The portion of skiing is 36 degrees (36°)
Step-by-step explanation: In order to calculate the value of any of the given variables in degrees, we must calculate it as a fraction of the total and then convert it to a degree measure in relation to a total of 360 degrees. (Please note that a pie chart has a total of 360 degrees measurement for all the variables given)
The variables are;
Soccer - 5
Jogging - 20
Walking - 10
Skiing - 5
Football - 10
Total - 50
Therefore, the fraction that represents skiing is given as
Skiing = 5/50
Skiing = 1/10
Calculating this portion in degrees becomes,
Skiing = 1/10 x 360
Skiing = 36 degrees (36°)
Answer:
x = 36° represents the proportion of hours spent on skiing.
Step-by-step explanation:
Solution:-
- The time taken for various activities is to be represented using a pie chart.
- The individual times for various activities are given:
Soccer : 5 hours
Jogging : 20 hours
Walking : 10 hours
Skiing : 5 hours
Football : 10 hours
=========================
Total time : 50 hours
=========================
- An entire pie chart is represented by a circle. Where the angle representation of a complete circle is 360° - mapping the total number of hours taken for all activities.
- So, 360° ............. Total Time = 50 hours
- So we will use direct proportions to evaluate the angle representation for the number of hours spent on skiing for a pie chart:
x ................. Skiing time = 5 hours
======================================
50*x = 5*360
x = 36°
Rewrite x^2 + 6x +15 in the form of a perfect square and a constant
Answer:
[tex](x+3)^{2}+6[/tex]
Step-by-step explanation:
The given expression is:
[tex]x^2+6x+15[/tex]
We have to re-write the given expression in form of perfect square. The above equation can be rewritten as:
[tex](x^2+6x)+15\\\\ =(x^2+2(x)(3))+15[/tex]
The general formula of a perfect square is:
[tex](a+b)^{2}=a^{2}+2(a)(b)+b^{2}[/tex]
Comparing previous two equations we can conclude that:
We have the square of first term(x), we have twice the product of first term(x) and second term(3). The square of second term(3) is missing. We can rewrite the previous equation as:
[tex](x^2+2(x)(3))+9+6\\\\ =(x^2+2(x)(3)+9)+6\\\\ =(x^2+2(x)(3)+3^{2})+6\\\\ =(x+3)^{2}+6[/tex]
This is the required form of the given expression.
Name: Joseph Sandoval, single, 1 exemption. Pay Rate: 5? per unit Unit produced: M-900, T-840, W-825, T-905, F-910
Answer:
1-4380 2-219 3-15.44 4-37.1 5-6.13 7-58.67 8-160.33
Step-by-step explanation:
Is 24, 45, and 51 a right triangle?
Answer: The dimensions are that of a right triangle.
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
you can solve by checking with the Pythagorean theorem (a^2 + b^2= c^2)
24 and 45 are the legs because the hypotenuse is the largest side so they will be substituted for a and b. if c is equal to 51 then it would be a right triangle
24^2 + 45^2= c^2
576 + 2025 = c^2
2601 = c^2
51 = c
because c = 51 and 51 was the hypotenuse on the triangle previously mentioned 24 45 51 is a right triangle
whats 4,583,000,000 in scientific notation?
Answer:
4.583 *10^9
Step-by-step explanation:
for scientific notation, the number has to be 1<x<10
so in this case, move the decimal point behind the 4. since there are 3 other non 0 digits behind the 4, write it as 4.583
now count how many spaces there are after the 4 and put that as the exponent for 10
Answer:
4.58 x 106
Step-by-step explanation:
i hope this help
The distance traveled can be calculated using the formula D
= S. t where s is the speed and t is the total time. Which of
the situations below represent a total distance of 120 km?
Select all that apply.
A) 40 km/hr for 3 hours
B) 60 km/hr for 2 hours
C) 30 km/hr for 4 hours
D) 25 km/hr for 5 hours
Final answer:
Situations A (40 km/hr for 3 hours), B (60 km/hr for 2 hours), and C (30 km/hr for 4 hours) represent a total distance of 120 km when applying the formula D = S * t. Situation D (25 km/hr for 5 hours) does not represent the required distance of 120 km.
Explanation:
The distance traveled can be calculated using the formula D = S * t where S is the speed and t is the total time. To find out which situations represent a total distance of 120 km, we will apply this formula to each of the given situations.
A) 40 km/hr for 3 hours: D = 40 km/hr * 3 hr = 120 kmB) 60 km/hr for 2 hours: D = 60 km/hr * 2 hr = 120 kmC) 30 km/hr for 4 hours: D = 30 km/hr * 4 hr = 120 kmD) 25 km/hr for 5 hours: D = 25 km/hr * 5 hr = 125 kmAfter calculating each situation, we can see that situations A, B, and C each yield a total distance of 120 km, while situation D yields a total distance of 125 km, which is not the distance we are looking for.
Eight less than twice a number is fourteen.
Answer:
x = 11
Step-by-step explanation:
2x - 8 = 14
2x = 22
x = 11
Tell me if I am wrong.
Can I get brainliest
Answer:
Let that number be 'x'
Now first part of the question tells us that 8 less than twice a number which is"x".
so twice a number would be 2x
then 8 less than would 2x-8
and the given result of the equation is 14
so the equation iis 2x-8=14
2x=14+8
2x=22
x=22/2
x=11 So the number is 11
Hope you find it helpful
Solve the equation v3 = 36.
Answer:
The answer is v=12.
Step-by-step explanation:
[tex]\frac{v3}{3} =\frac{36}{3\\}[/tex]
[tex]v= \frac{36}{3}[/tex]
[tex]v=12[/tex]
The solution of v³ = 36 for v will be 3.32.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
Given the equation,
v³ = 36
Now,
By taking inverse exponents,
v = [tex]36^{1/3}[/tex]
v = 3.32
Hence "The solution of v³ = 36 for v will be 3.32".
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Assuming the pattern in the table continues, what is the function value when x = 6?
Answer:
486
Step-by-step explanation:
it multiplies by 3 each time
Answer:
486
Step-by-step explanation:
I just did 6/2 and got three and that was the rate of change so I multiplied 3 to 2 to get 6 and then multiplied 3 again to get 18 and kept going until I got to 162 and multiplied that to 3 to get 486.