Therefore, the answers are:
L = 76 ft.W = 38 ft.Hoped this helped
\(BrainiacUser1357\)
The values in the table represent a function.
A 2-column table with 5 rows. The first column is labeled x with entries negative 6, 7, 4, 3, negative 5. The second column is labeled f of x with entries 8, 3, negative 5, negative 2, 12.
Use the drop-down menus to complete the statements.
The ordered pair given in the first row of the table can be written using function notation as
.
f(3) is
.
f(x) = –5 when x is
.
The correct answers are:
f(-6) = 8f(3) = -2f(x) = -5 when x is 4What is the function?Functions are expressions separated by an equal sign. They have both dependent and independent variables.
How to solve* Lets explain how to solve the problem
- The table of the function has two column
# First column labeled x with entries:
-6 , 7 , 4 , 3 , -5
# Second column labeled f(x) with entries:
8 , 3 , -5 , -2 , 12
∴ The ordered pairs of the function f(x) are:
(-6 , 8) , (7 , 3) , (4 , -5) , (3 , -2) , (-5 , 12)
* Lets complete the missing
∵ The value of x in the first row is -6
∵ The value of f(x) in the first row is 8
∴ The function notation in the 1st row is f(-6) = 8
- The ordered pair given in the first row of the table can be
written using function notation as f(-6) = 8
∵ The ordered pair whose x = 3 is (3 , -2)
∴ The value of f(x) when x = 3 is -2
∴ f(3) = -2
∵ The ordered pair whose f(x) = -5 is (4 , -5)
∴ The value of x when f(x) = -5 is 4
∴ f(x) = -5 when x is 4
To learn more about the function visit, https://brainly.com/question/28278690
Which shows the correct way to
calculate the percent change if the
original value of your stock was $750
and the new value of your stock is
$1,000?
A. (1,000+ 750)/750 = 230%
B. (750-1,000)/1,000 = -25%
C. (1,000-750)/750 = 33%
The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.
C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%
Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.
There are 4 gear wheels on fixed axles next to each other, as shown. The first one has 30 gears, the second one 15, the third one 60 and the last one 10. How many revolutions does the last gearwheel make when the first one turns through one revolution?
Answer:
The last gearwheel would make 3 revolutions.
Step-by-step explanation:
The measure of the revolution of a gear per minute is referred to as the speed ratio. The speed ratio is the ratio of the speed of the driver gear to that of the driven gear, or ratio of the number of teeth of the driven gear to the number of teeth of the driver gear.
In the given question, the second and third gears are idlers. while the first is the driver and the fourth the driven.
The revolution of the last gearwheel can be determined by;
Speed ratio = \(\frac{number of teeth of the driven gear}{number of teeth of the driver gear}\)
= \(\frac{10}{30}\)
= \(\frac{1}{3}\)
Speed ratio = 1 : 3
The last gear would make 3 revolutions.
MULTIPLE CHOICE A thermometer is
accurate to +2°F. Which absolute value
equation can be used to find the greatest
and least possible temperatures if the
thermometer reading is 17°F?
The absolute value equation which could be used to obtain the greatest and least possible temperature values when the temperature reading is 17°F is (17 ± 2)°F
Thermometer accuracy = ±2°F Thermometer reading = 17°FThe least possible value of temperature can be calculated thus :
Thermometer reading - thermometer accuracy 17 - 2 = 15°FThe highest possible temperature can be calculated thus :
Themometer reading - thermometer accuracy 17 + 2 = 19°FHence, the absolute value equation which represents the scenario is (17 ± 2)°F
Learn more :https://brainly.com/question/15748955
find the slope-intercept form of the line whose slope os 4 and that passes through the point (-9,12)
Answer:
y = 4x+48
Step-by-step explanation:
Slope intercept form is y=mx+b. We already know the value for m(4), so we can plug in the x and y coordinates for x and y in the equation. This gives us 12=4(-9)+b. Solve for b to get 48
- Given the table below write an explicit
equation .
n
1
2
3
4
5
f(n)
5
58
13
20
29
The explicit equation for the table is,
f(n) = n² + 4
Given, the values of an explicit function,
Let the function be,
f(n) = an² + bn + c
f(1) = a(1)² + b(1) + c
5 = a + b + c
f(2) = a(2)² + b(2) + c
8 = 4a + 2b + c
f(3) = a(3)² + b(3) + c
13 = 9a + 3b + c
On subtracting the equations, we get
5 = 5a + b
3 = 3a + b
Again, on subtracting we get
2 = 2a
a = 1
On putting the values we get,
b = 0.
a + b + c = 5
1 + 0 + c = 5
c = 4
Hence, the explicit equation for the table is,
f(n) = n² + 4
Learn more about Explicit Functions here https://brainly.com/question/22340031
#SPJ9
The velocity of an object is given by the following function defined on a specified interval. Approximate the displacement of the object on this interval by subdividing the interval into the indicated number of subintervals. Use the left endpoint of each subinterval to compute the height of the rectangles. v = 1/(2t + 4) (m/s) for for 0 ≤ t ≤ 88; n = 22
Answer:
The displacement of the object on this intervals is 1.33 m.
Step-by-step explanation:
Given that,
The function of velocity is
\(v=\dfrac{1}{2t+4}\ m/s\)
For 0 ≤ t ≤8 , n = 2
We need to calculate the intervals
Using formula for intervals
For, n = 1
\(\Delta x=\dfrac{t_{f}-t_{i}}{n}\)
\(\Delta x=\dfrac{8-0}{2}\)
\(\Delta x=4\)
So, The intervals are (0,4), (4,8)
We need to calculate the velocity
Using given function
\(v=\dfrac{1}{2t+4}\)
For first interval (0,4),
Put the value into the formula
\(v_{0}=\dfrac{1}{2\times0+4}\)
\(v_{0}=\dfrac{1}{4}\)
For first interval (4,8),
Put the value into the formula
\(v_{4}=\dfrac{1}{2\times4+4}\)
\(v_{4}=\dfrac{1}{12}\)
We need to calculate the total displacement
Using formula of displacement
\(D=(v_{0}+v_{4})\times(\Delta x)\)
Put the value into the formula
\(D=(\dfrac{1}{4}+\dfrac{1}{12})\times4\)
\(D=1.33\ m\)
Hence, The displacement of the object on this intervals is 1.33 m.
The displacement of the object whose velocity function is given is 1.33 m
The given parameters are:
\(\mathbf{v = \frac{1}{2t + 4},\ 0 \le t \le 8; n =2}\)
The end point of intervals is calculated as:
\(\mathbf{\triangle t = \frac{b - a}{n}}\)
So, we have:
\(\mathbf{\triangle t= \frac{8 - 0}{2}}\)
\(\mathbf{\triangle t = \frac{8}{2}}\)
\(\mathbf{\triangle t= 4}\)
So, the intervals are (0,4) and (4,8)
Calculate the velocity at the beginning of each interval
\(\mathbf{v_0 = \frac{1}{2(0) + 4} = \frac 14}\)
\(\mathbf{v_4 = \frac{1}{2(4) + 4} = \frac 1{12}}\)
Calculate the displacement (S) using:
\(\mathbf{S = (v_0 + v_4) \times \triangle t}\)
So, we have:
\(\mathbf{S = (1/4 + 1/12) \times 4}\)
Expand
\(\mathbf{S = 1 + 1/3}\)
Add
\(\mathbf{S = 1 \frac 13}\)
Express as decimals to 2 decimal places
\(\mathbf{S = 1.33}\)
Hence, the displacement is 1.33 m
Read more about displacement at:
https://brainly.com/question/17131235
figure below represents a floor covered with white tiles and gray tiles. KEY = 1 square unit
According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).
How to find the correct expression?To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.
On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.
Learn more about tiles in: https://brainly.com/question/18257982
#SPJ1
A hotel room costs $435.92 for 4 nights. At the same rate, how much would it cost to rent the hotel room for 7 nights?
Answer:
basBdiqdia
Step-by-step explanation:
Answer:
$762.86
Step-by-step explanation:
$435.92/4 = $108.98
$108.98 · 7 = $762.86
Convert 88 ounces to pounds.
A.0.18 pounds
B.5.5 pounds
C.1408 pounds
Answer: it is b because 2.5 lbs = 40 oz. then i know that 40 is half of 80 then there is not way it is the 1000 pound choice
Step-by-step explanation:
Calculate the circumference.
Answer:
Circumference= 2πr
2 × π × r = 2 × 22÷7 × 2.2
= 13.82301
Answer = D
I will give Brainliest to First and Correct Answer. Can Somebody please help...I really need help and I am struggling.
When a shape is translated, point A moves to (–1, 8). Where do the other vertices of each shape move to?
Answer: B' (5,8), C' (3,1)
Step-by-step explanation:
You can use the points A' (-1,8) and A (-2,-3) to find how many units point A was translated.
-2 + 1 = -1
-3 + 11 = 8
Then, you simply add 1 to the x-values of points B and C and 11 to the y-values of points B and C to get B' (5,8), C' (3,1).
I hope this helps!
How do you write -3/8 as a fraction
Answer:
If you mean decimal, then -0.375
The perimeter of Marisa's garden is 32 feet. The width is 6 feet. What is the length of
Marisa's garden?
The length of Marisa's garden is 10
What is the length of Marisa's garden?The given parameters are:
Perimeter = 32 feet
Width = 6 feet
The perimeter is calculated as:'
Perimeter = 2 * (Length + width)
So, we have
2 * (Length + 6) = 32
Divide by 2
Length + 6 = 16
Subtract
Length = 10
Hence, the length of Marisa's garden is 10
Read more about perimeter at:
https://brainly.com/question/24571594
#SPJ1
How to solve 3.6 x 2.1? Please tell me step-by-step. Thank you!
Answer:
Multiply 36 and 21 and put point(.) after two digits
Step-by-step explanation:
7.57
please help me ASAP!!!!
The phrase can be written as:
\(\lvert x+5\rvert=3\)therefore the correct choice is the third one.
If a different number in domain of a function have different outputs the function is called?
A function is a rule that assigns each input exactly one output. We call the output the image of the input. The set of all inputs for a function is called the domain.
A function is one-to-one if no two elements in the domain correspond to the same element in the range.
Thus, if a different number in the domain of a function has different outputs the function is called a one-to-one function
Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
for such more question on values
https://brainly.com/question/11546044
#SPJ8
Jason used his car as collateral to borrow money from his bank. After losing his job, Jason is now unable to make his monthly payments for the loan, defaulting on the loan. If Jason is unable to continue to make his payments, what is likely to happen to his car?
a.
The bank will ask Jason to sell the car to help pay back his loan.
b.
The bank will seize the car and likely sell it to pay off Jason’s loan.
c.
The bank will notify the local government of Jason’s default on his loan, making it illegal for Jason to drive the car.
d.
The bank will put a “boot” on one wheel of the car, making it un-drivable until Jason begins making his payments again.
The situation from above will likely make the bank seize the car and likely sell it to pay off Jason’s loan.
Option B is the correct answer.
What is collateral?Collateral is an item of value that a lender can take away from a borrower when he or she fails to repay a loan according to the terms that were agreed upon while borrowing.
We have,
Collateral is an item that a lender can seize when the borrower is unable to pay the loan.
Collateral for Jason was his car.
Thus,
The situation from above will likely make the bank seize the car and likely sell it to pay off Jason’s loan.
Option B is the correct answer.
Learn more about collateral here:
https://brainly.com/question/6779619
#SPJ1
please help me
To begin a bacteria study, a petri dish had 2300 bacteria cells. Each hour since, the number of cells has increased by 12%.
Let t be the number of hours since the start of the study. Let y be the number of bacteria cells.
Write an exponential function showing the relationship between y and t.
The exponential function showing the relationship is y = 2300(1 + 0.12)^t
The exponential function showing the relationshipThe exponential function showing the relationship between y and t can be written as:
y = 2300(1 + 0.12)^t
where 2300 is the initial number of bacteria cells, 0.12 is the growth rate (12% expressed as a decimal), and t is the time in hours since the start of the study.
This function is obtained by using the formula for exponential growth, which is y = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is the time.
In this case, a = 2300, r = 0.12, and y represents the amount of bacteria cells after t hours.
Read more about exponential function at
https://brainly.com/question/2456547
#SPJ1
Which of the scatter plots below shows the most accurate line of best fit?
PLS LOOK AT PICTURE AND HELP ME, IM BEING TIMED
Answer:
Z
Step-by-step explanation:
please answer 5-7 i need it in 5 minutes please i’ll do anything
Answer:don’t understand number 5??
Step-by-step explanation:
Reduce 45/36 fraction into the
lowest terms.
Answer:
\( \frac{5}{4} \)
Hello there! :)
45/36
Let's look for common factors:
45 is divisible by 3, 9 (I list the common factors here)
36 is divisible by 3, 9
Now, the greatest common factor (9) is the one we will use.
Divide 45 by 9:
5
36 by 9:
4
So the answer is 5/4.
Hope this helps!
~Just a determined gal
#CarryOnLearning
\(MysteriousNature\)
(8x + 6) - (x + 4).
help me please I really need help
Answer:
25.46
Step-by-step explanation:
6.7X3.8
what is the answer I need help
Answer:
Step-by-step explanation:
The vertex is at (-3, -1) and the leading coefficient is negative ( because the curve is inverted)
y = -a(x + 3)^2 - 1
One point on the curve is (-2, -3) so
-3 = -a(-2+3)^2 - 1
-3 = -a - 1
-a = -2
So we have
y = -2(x + 3)^2 - 1
y = -2(x^2 + 6x + 9) - 1
y = -2x^2 - 12x - 19.
WHAT IS A VOLUME OF THE BOX WITH A HEIGHT OF 3\2 WIDTH OF 5\2 AND LENGHT OF 7\2
Answer:
13.125 or 105/8u^3
Step-by-step explanation:
To find the volume of the box, you can use the formula of length times width time height.
3 * 5 = 15
2*2=4
15/4*7/2=105/8 which can be divided to become 13.125
In the town of Centralburg (Figure 1), which is laid out in a uniform block grid, the grocery store is three blocks East and four blocks North of the post office. Which of the following is a correct equation for the quantities represented in this scenario?
Answer:
tan(θ)= dn/de
θ=arctan(dn/de)
Step-by-step explanation:
For what values of a and b is x^64 + ax^b +25 a perfect square for all integer values of x?
For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)
To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.
A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.
Let's examine the given expression: \(x^64 + ax^b\) + 25
For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.
So we have:\(x^64 + ax^64 + 25\)
Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)
By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)
Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)
From the second equation, we know that k = 25.
Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)
To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.
For more such information on: expression
https://brainly.com/question/1859113
#SPJ8
The children had 2 puzzles with 226 pieces and 4 puzzles with 558 pieces. How many pieces were in the puzzles altogether?
Answer:
2884 pieces
Step-by-step explanation:
First you have to multiply 2 and 226:
2 x 266 = 532
Then you have to multiply 4 and 558:
4 x 558 = 2352
After that you have add those two to make your answer:
532 + 2352 = 2884
There is your answer.