Answer:
the answer is 42.875
Step-by-step explanation:
3.5^3 = 42.875
Answer:
[tex]\large\boxed{V=42\dfrac{7}{8}\ ft^3}[/tex]
Step-by-step explanation:
The formula of a volume of a cube:
[tex]V=a^3[/tex]
a - edge
We have
[tex]a=3\dfrac{1}{2}\ ft[/tex]
Convert to the improper fraction:
[tex]a=\dfrac{3\cdot2+1}{2}=\dfrac{7}{2}\ ft[/tex]
Substitute to the formula of a volume:
[tex]V=\left(\dfrac{7}{2}\right)^3=\dfrac{7^3}{2^3}=\dfrac{343}{8}=42\dfrac{7}{8}\ ft^3[/tex]
A classroom floor has an area of
(30x3 + 8x2) ft, with a width of 2x feet.
What is the length of the floor?
Answer:
The length of the floor is [tex](15x^{2}+4x)\ ft[/tex]
Step-by-step explanation:
we know that
The area of a rectangle ( classroom floor) is equal to
[tex]A=LW[/tex]
in this problem we have
[tex]A=(30x^{3}+8x^{2})\ ft^{2}[/tex]
[tex]W=2x\ ft[/tex]
substitute in the formula and solve for L
[tex](30x^{3}+8x^{2})=2x(L)[/tex]
Divide by 2x both sides
[tex]L=(15x^{2}+4x)\ ft[/tex]
Simplify the expression.
-(10)^-2
Answer:
-1/100
Step-by-step explanation:
-(10)^-2
Exponents first
We need to make the negative in the exponent positive, which means move it to the denominator
-1
--------
10^2
-1
---------
100
Answer:
-1/100
Step-by-step explanation:
10^(-2) becomes 1/100.
-(10)^(-2) is -1/100.
Simplyify t^12/t^6 *PLEASE HELP*
Answer:
C
Step-by-step explanation:
In division when bases are same you do top exponent minus bottom exponent.
So here you do t^(12-6) which is t^6.
Two consecutive positive integers have a
product of 6. What are the integer?
Answer:
They are 2 and 3.
Step-by-step explanation:
2 * 3 = 6
2x^2+y^2=8xy find dy/dx
Answer:
2(x-2y)/(4x-y) = dy/dx
Step-by-step explanation:
2x^2+y^2=8xy
Take the derivative of each term, remembering that we take the 8xy as derivative by parts)
2 * 2x dx + *2y dy = 8 ( x dy + dx *y)
4x dx +2y dy = 8x dy + 8y dx
Subtract 2y dy from each side
4x dx +2y dy -4y dy = 8x dy - 2y dy + 8y dx
4x dx = 8x dy - 2y dy + 8y dx
Subtract 8y dx from each side
4x dx -8y dx = 8x dy - 2y dy + 8y dx-8y dx
4x dx -8y dx = 8x dy - 2y dy
(4x-8y) dx = (8x-2y) dy
Factor out a 4 from the left side and a 2 from the right side
4(x-2y) dx = 2( 4x-y) dy
Cancel a 2
2(x-2y) dx = ( 4x-y) dy
Divide each side by (4x-y)
2(x-2y)/(4x-y) dx = ( 4x-y)/(4x-y) dy
2(x-2y)/(4x-y) dx = dy
Divide by dx
2(x-2y)/(4x-y) dx/dx = dy/dx
2(x-2y)/(4x-y) = dy/dx
6. Solve the following equation for x. Show each step.
5x + 2 = 3x + 4(2x - 1)
Answer:
x=1
Step-by-step explanation:
5x + 2 = 3x + 4(2x - 1)
Distribute the 4
5x + 2 = 3x + 8x - 4
Combine like terms
5x + 2 = 11x - 4
Subtract 5x from each side
5x -5x + 2 = 11x - 5x - 4
2 = 6x-4
Add 4 to each side
2+4 = 6x-4+4
6 = 6x
Divide each side by 6
6/6 =6x/6
1= x
The value of x is 1 for equation 5x + 2 = 3x + 4(2x - 1).
A statement that affirms the equivalence of two expressions joined by the equals symbol "=" is known as an equation.
Given,
[tex]5x+2=3x+4(2x-1)\\[/tex]
[tex]5x+2=3x+8x-4[/tex]
On transposing like terms on one side of the equation.
[tex]5x-3x-8x=-4-2\\-6x=-6[/tex]
On multiplying -1 on both sides,
[tex]-6x\times(-1)=-6(-1)\\6x=6[/tex]
On dividing by 6 on both sides,
[tex]\frac{6x}{6}=\frac{6}{6}\\x=1[/tex]
Hence, the value of x is 1.
Learn more about equations, here:
https://brainly.com/question/1441065
#SPJ6
What is the truth value for the following conditional statement?
If the grass is red, then the snow is white.
T T → F
F T → T
F T → F
T F → T
Answer: the correct option is
(B) F T → T.
Step-by-step explanation: We are given to find the truth value of he following conditional statement :
"If the grass is red, then the snow is white."
Let us consider that
p : the grass is red. This is a false statement
and
q : the snow is white. This is a true statement.
So, we get
p → q
F → T, which is true (T).
Thus, the required answer is F T → T
Option (B) is CORRECT.
Two angles of a triangle have the same measure and the third one is 3 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
The LARGEST angle has a measure of ___ degrees.
Answer:
62 DEGREES
Step-by-step explanation:
TWO ANGLES=2A
LARGEST ANGLE=A+3
2A+A+3=180
3A=180-3=177
A=177/3=59
LARGEST ANGLE=59+3=62
Answer:
The Largest Angle angle has a measure of 62 degrees.
Step-by-step explanation:
In triangle ABC, angle ABC equals to angle ACB.
and BAC is the largest angle.
Let angle measure of ABC and ACB angles be "x" degree.
then, measure of third angle i.e BAC will be "x + 3" degrees.
Since sum of all angles of any triangle is 180 degree.
so, first angle + second angle + third angle = 180
x + x + (x + 3) = 180
3x = 180 - 3
3x = 177
x = 59 degrees
So, First angle = 59 degree
Second angle = 59 degree
Third Angle = 62 degree.
The Largest Angle angle has a measure of 62 degrees.
Which expression can be used to determine the slope of the line that passes through the points (–7, 3) and (1, –9)?
Answer:
-9-3/1-(-7)
Step-by-step explanation:
Answer:
The slope of given line = -3/2
Step-by-step explanation:
Points to remember
slope of the line with end points (x1, y1) and (x2, y2) is given by,
Slope = (y2 - y1)/(x2 - x1)
To find the slope of the line
Here (x1, y1) = (-7, 3) and (x2, y2) = (1, -9)
Slope = (y2 - y1)/(x2 - x1)
= (-9 - 3)/(1 - -7)
= (-12)/8
= -3/2
Therefore the slope of given line = -3/2
Swill sells 35 liters or milk in a day. How many liters of milk will be sold if he has to sell 125% more milk per day
Answer:
43.75 liters.
Step-by-step explanation:
125% = 1.25 as a decimal fraction.
number of liters of milk = 35 * 1.25
= 43.75 liters.
What is the value of k?
Answer:
i thought its -9
Step-by-step explanation:
x / x-2=x-k / x-4x /x=x-k/x-4+2cut x/x of first side
k=x/x-6now cut x/x
k=-63=-6-6-3-97 days left until the launch of our new product and we have $668.00 left in our promotion budget we need to spend 85.00 on the last day how many dollars can we spend on the remaining days
Answer:
$97.16 per day
Step-by-step explanation:
Total amount you have = $668.00
You have to spent $85.00 on the last day.
$668.00-85.00
=$583
It means you have $583 for the remaining 6 days in the week.
If you spend equal amount of money each day , you can calculate it by dividing remaining amount and number of days
=583/6
=$97.16
It means you can spend $97.16 per day....
A researcher determined the amount of ducks that were in a pond over a four-year time span. The results are shown in the table below.
Year 1, 2, 3, 4
Ducks 64, 78, 92. 106
Year Ducks
1 64
2 78
3 92
4 106
Select an equation that best models the amount of ducks (d) that will be in the pond during the nth year.
d= 64(1.22)^n-1
d=14n +64
d= 14n + 50
d + 50(1.14)^n-1
Answer:
Option C (d = 14n + 50).
Step-by-step explanation:
The observations for Year 1, 2, 3, and 4 are 64, 78, 92, and 106 respectively. It can be observed that the difference between second term and the first term is 78 - 64 = 14. This is also true for the third term and the second term. In fact, the difference between the terms is fixed. This means that the sequence is an arithmetic sequence, in which the difference between the terms is fixes for all the terms. The nth term in this case is defined as:
S = a + (n-1)*d; where S is the output at a given n, a is the first term, n is the position, and d is the common difference. In this question, S = ducks (d), a = 64, and d = 14. Therefore, plugging in the values in the above formula gives:
d = 64 + (n-1)*14.
d = 64 + 14n - 14.
d = 14n + 50.
Therefore, the model which best describes the amount of ducks that will be in the pond during the nth year is d = 14n + 50, i.e. Option C!!!
Answer: Third Option
[tex]a_n =14n+50[/tex]
Step-by-step explanation:
By subtracting consecutive terms from the number of ducks each year you will get a common difference of 144.
[tex]78-64 = 14\\92-78 = 14\\106-92 = 14[/tex]
This means that the data can be modeled by the equation of an arithmetic sequence
The arithmetic sequences have the following form:
[tex]a_n = a_1 + d(n-1)[/tex]
Where [tex]a_1[/tex] is the first term and d is the common difference between the consecutive terms.
So :
[tex]a_1 = 64[/tex]
[tex]d = 14[/tex]
Then the equation is:
[tex]a_n = 64 + 14(n-1)[/tex]
[tex]a_n = 64 + 14n-14[/tex]
[tex]a_n =14n+50[/tex]
Dimensions for an office floor plan is 15ft. By 15ft and 28ft. By 28ft. Tile runs $1 per square foot and carpeting $5 per square foot. What is the estimated total cost for the floor coverings installed
Answer:
$2520
Step-by-step explanation:
Taking the dimensions of the office floor from the plan to be;
[tex]15ft*28ft[/tex]
Area of the floor to be covered will be the product of the sides dimensions
[tex]=15*28=420ft^{2}[/tex]
Cost of putting tile on the floor
1ft²=$1
420ft²=?
=[tex]\frac{420*1}{1} =420[/tex]
=$420
Cost of putting a carpet on the floor
1ft²=$5
420ft²=?
[tex]=\frac{420*5}{1} =2100[/tex]
=$2100
Estimated cost
Total estimated cost =cost for putting tiles+cost for putting carpet
=$420+$2100=$2520
help can’t find the answer
Answer:
Volume= 82.4in³
Step-by-step explanation:
Volume is the measure of the amount of space inside of a solid figure, like a cube, ball, cylinder or pyramid. It's units are always "cubic"
To find the volume of sphere, we will use the following formula of Volume:
Volume = 4/3 πr³
Put the values in the formula:
As we know that the value of π is 22/7 or 3.14
Radius = 2.7
According to the formula:
Volume = 4/3 * 3.14 *(2.7)³
Volume= 4/3* 3.14(19.683)
Volume=4/3(61.80462)
Volume=247.21848/3
Volume= 82.4in³....
Elsie pays $8.99 for a one-pound canister of Georgia pecans. Write and solve a proportion to determine the cost of 4
ounces of the pecans she needs for a particular recipe. Round answer to the nearest cent.
(SHOW WORK)
To find the cost of 4 ounces of pecans, we set up a proportion comparing the cost to weight, resulting in $2.25 after rounding to the nearest cent.
Explanation:To determine the cost of 4 ounces of pecans when a one-pound (16 ounces) canister costs $8.99, we set up a proportion where the cost is directly proportional to the weight.
The proportion is $8.99/16 ounces = $X/4 ounces, where X represents the cost of 4 ounces of pecans.
Multiplying both sides by 4 to solve for X gives us $X = (4 ounces × $8.99) / 16 ounces.
Simplifying this, we find that $X = $2.2475, which, when rounded to the nearest cent, gives us an answer of $2.25.
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common labeled AB.
A
[tex]y \leqslant - 2 + 3 \\ y \leqslant x + 3[/tex]
B
[tex]y \geqslant - 2x + 3 \\ y \geqslant x + 3[/tex]
C
[tex]y \leqslant - 3x + 2 \\ y \leqslant - x + 2[/tex]
D
[tex]y > - 2x + 3 \\ y > x + 3[/tex]
Answer:
[tex]\large\boxed{A.\ y\leq-2x+3,\ y\leq x+3}[/tex]
Step-by-step explanation:
<, > - dotted line
≤, ≥ - solid line
<, ≤ - shaded region below the line
>, ≥ - shaded region above the line
=============================================
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we have the points:
(0, 3) - y-intercept → b = 3 (for both lines)
f(x)
(0, 3), (1, 1)
[tex]m=\dfrac{1-3}{1-0}=\dfrac{-2}{1}=-2[/tex]
Substitute:
[tex]f(x):\ y=-2x+3[/tex]
The shaded region is below the solid line. Therefore: [tex]y\leq-2x+3[/tex]
g(x):
(0, 3), (2, 5)
[tex]m=\dfrac{5-3}{2-0}=\dfrac{2}{2}=1[/tex]
Substitute:
[tex]g(x):\ y=1x+3=x+3[/tex]
The shaded region is below the solid line. Therefore: [tex]y\leq x+3[/tex]
Answer:
b
Step-by-step explanation:
In the number 2010, the value represented by the digit 1 is what fraction of the value represented by the digit 2?
Answer:
Step-by-step explanation:
The two represents 2000
The one represents 10
The fraction you want is 10/2000 = 1/200 or 0.005
The value represented by the digit 1 in the number 2010 is 1/200 of the value represented by the digit 2. This is determined by comparing their place values, with 1 in the tens place and 2 in the thousands place.
To determine the value represented by the digit 1 in the number 2010, we need to understand place value.
→ The digit 1 is in the tens place, so its value is 10 (1 × 10).
→ The digit 2 is in the thousands place, so its value is 2000 (2 × 1000).
The fraction of the value represented by the digit 1 to the value represented by the digit 2 is calculated as follows:
→ Fraction = Value of digit 1 / Value of digit 2
= 10 / 2000
= 1/200
Therefore, the value represented by the digit 1 is 1/200 of the value represented by the digit 2 in the number 2010.
Sure would help a lot
Hello There!
X = 6
First, we would add 5 to both sides so adding 5 to -5 is 0 and adding 5 to 7 is 12 so we would get the equation 2x = 12
Next, we would divide 2x by 2 and divide 12 by 2 and we would get a quotient of 6.
Our final answer is x = 6
Answer:
x=6
Step-by-step explanation:
2x - 5 = 7
Add 5 to each side
2x-5+5= 7+5
2x = 12
Divide by 2
2x/2 = 12/2
x = 6
14. Solve this system of equations:
4x + 2y = 22
3x – 2y = 13
Answer:
(x,y)= (5,1)
Step-by-step explanation:
4x+2y=22
3x-2y=13
2y=22-4x
3x-2y=13
3x-(22-4x)=13
x=5
3·5-2y=13
y=1
(x,y)= (5,1)
Answer:
(5, 1); x = 5 and y = 1.
Step-by-step explanation:
Step 1: Add the system of equations
4x + 2y = 22
3x - 2y = 13
-----------------------------
7x = 35
Step 2: Solve for x
x = 5
Step 3: Substitute the value of x in one of the original equations
4(5) + 2y = 22
Step 4: Solve for y
20 + 2y = 22
2y = 2
y = 1
Step 5: Write your answer as an ordered pair
(5, 1)
The product of two numbers is 144 and their difference is 10. What is the sum of the two numbers
Answer:
18+8=26
Step-by-step explanation:
Their sum would be 18 and * because they have difference of ten. In order o get this you would have to multiply 1 X144 and so on.
Answer:
Step-by-step explanation:
Its 134 hope this helos
A side of a square is 8 3/2 inches. Using the area formula A = s2, determine the area of the square.
Answer:
Area=512 square inches
Step-by-step explanation:
According to the given data;
A side of a square = (8)³/² inches.
Area of a square = ?
To find the area of a square we use the formula:
Area = s²
Area=(8)³/²)²
Area = 8³
Area= 8*8*8
Area=512 square inches....
64 -[16 x (-3) – 2 x{17 – 25 }]
Answer:
96
Step-by-step explanation:
64 -[16 x (-3) – 2 x{17 – 25 }] I'm going to take a couple of steps that are very small and they can be combines along with other steps. Combine 16*-3
64 - [-48 - 2*(17 - 25)] Combine what is inside (17 - 25)
64 - [-48 - 2*(-8)] Combine -2*-8
64 - [-48 + 16] Combine what is in the brackets.
64 - [-32] Remove the brackets
64 + 32 Combine
96
The trick in this question is the signs.
Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.
Answer:
Part 1) [tex]c=21.9\ units[/tex]
Part 2) [tex]B=61.1\°[/tex]
Part 3) [tex]A=28.9\°[/tex]
Part 4) [tex]C=90\°[/tex]
Step-by-step explanation:
step 1
Find the length side c
Applying the Pythagoras Theorem
[tex]c^{2}=a^{2}+b^{2}[/tex]
substitute the given values
[tex]c^{2}=10.6^{2}+19.2^{2}[/tex]
[tex]c^{2}=481[/tex]
[tex]c=21.9\ units[/tex]
step 2
Fin the measure of angle B
we know that
In the right triangle
[tex]tan(B)=b/a[/tex]
substitute the given values
[tex]tan(B)=19.2/10.6[/tex]
[tex]B=arctan(19.2/10.6)=61.1\°[/tex]
step 3
Find the measure of angle A
we know that
The measure of interior angles in a triangle must be equal to 180 degrees
so
∠A+∠B+∠C=180°
Remember that in a right triangle the measure of angle C is 90 degrees
we have
[tex]B=61.1\°[/tex]
[tex]C=90\°[/tex]
substitute
[tex]A+61.1\°+90\°=180\°[/tex]
[tex]A=28.9\°[/tex]
Answer:
A = 28.9 degrees, B = 61.1 degrees, c = 21.9
Step-by-step explanation:
I got it correct on founders edtell
what is the range of y=log_8 x
The answer is:
Range: All the real numbers or (-∞,+∞)
Why?To solve the problem, we need to rewrite the variable "x" as "y" and the variable "y" as "x", and then, isolate "y". Then, we need to look if there is any restriction to the resulting value of "y".
We are given the function:
[tex]y=log_8(x)[/tex]
Now, rewriting we have:
[tex]x=log_8(y)[/tex]
Then, isolating we have:
[tex]8^{x} =8^{(log_8(y))}\\\\8^{x}=y[/tex]
Therefore, we can see that the resultant function is a quadratic or polynomial function, we need to remember that there is no restriction for this type of functions, it means that the range of the function is equal to the Real numbers where the values of "x" exist.
Hence, the answer is:
Range: All the real numbers or (-∞,+∞)
Have a nice day!
Note: I have attached a picture for better understanding.
For 1-Z; the local craft store charges a
registration fee of $10 and $5.50 per
class.
1. Which expression can be used to
determine the total charge, in
dollars, to participate inx number
of classes?
[tex]\huge{\boxed{5.5x+10}}[/tex]
We multiply the class fee by the number of classes. [tex]\bf{5.5x}[/tex]
A registration is a one-time fee, so it is simply added. [tex]5.5x \bf{+10}[/tex]
Samir is trying to decide between two checking account plans. After researching plans at two banks, he finds that Unity Bank offers a monthly compounded interest rate of 0.14%, while Sunrise Banking offers 1.6% interest compounded annually. Which is the better plan? Explain.
(SHOW WORK)
Answer:
The monthly compounded interest rate of 0.14% of Unity Bank is a better plan.
Step-by-step explanation:
Step 1 : Write the formula for calculating a monthly compound interest rate and for calculating an annually compounded interest rate.
Monthly compound interest rate = P(1+r/n)^nxt
n=12 (number of months in a year)
t=1 (number of years)
Annually compound interest rate = P(1+r/n)^nxt
n=1 (because it is for 1 year only)
t=1 (number of years=1)
Step 2 : Lets assume that P is $100 in both banks and time is 1 year.
Step 3 : Lets substitute the values to find out which one is better.
Monthly compound interest rate = P(1+r/n)^nxt
Monthly compound interest rate = 100(1+0.14/12)^12x1
Monthly compound interest rate = 114.93
114.93 - 100 = $14.93 per month
14.93 x 12 = $179.16 for 12 months or 1 year
Annually compound interest rate = P(1+r/n)^nxt
Annually compound interest rate = 100(1+1.6/1)^1x1
Annually compound interest rate = 260
260-100 = $160 for 1 year
Therefore, the monthly compounded interest rate of 0.14% of Unity Bank is a better plan.
!!
Answer:
The Unity Bank is offering a good plan.
Step-by-step explanation:
Unity Bank offers a monthly compounded interest rate of 0.14%
So, yearly rate will be = [tex]0.14\times12=1.68[/tex]% or 0.0168
Sunrise Banking offers 1.6% or 0.016 interest compounded annually.
Lets check an example with these two rates.
The compound interest formula is = [tex]A=P(1+r/n)^{nt}[/tex]
Lets take P = $1000 and t = 1 year
Case 1: when r = 1.68% and n = 12
Putting the values in formula we get
A = [tex]1000(1+0.0168/12)^{12}[/tex]
= [tex]1000(1.0014)^{12}[/tex]
A = $1016.92
Case 2: when r = 1.6% and n = 1
Putting the values in formula we get
A = [tex]1000(1+0.016/1)^{1}[/tex]
= [tex]1000(1.016)^{1}[/tex]
A = $1016.00
So, we can see that the first case gives more return than second one.
Therefore, the Unity Bank is offering a good plan.
An 'A' is considered 4.0, a 'B' is 3.0, a 'C' is 2.0, a 'D' is 1.0, and an 'F' is 0. If you received the following grades in your first semester, what would your grade point average be?
English: 3.0 credits, B.
Biology: 4.0 credits, B.
Communications: 3.0, F.
New student seminar: 1.0, A.
Express your answer rounded to the hundredths place.
Answer:
Your grade point average would be 2.75(B- or C+)
Step-by-step explanation:
[tex]\frac{3+4+3+1}{4} \\\frac{11}{4} \\2.75[/tex]
Final answer:
Explaining the calculation of GPA based on given grades, resulting in an approximate value rounded to the hundredths place.
Explanation:
The grade point average (GPA) for the given grades can be calculated as follows:
English: 3.0 credits, B, which is 3.0 in GPA scale
Biology: 4.0 credits, B, which is 3.0 in GPA scale
Communications: 3.0, F, which is 0.0 in GPA scale
New student seminar: 1.0, A, which is 4.0 in GPA scale
Calculating the GPA:
(3.0 + 3.0 + 0.0 + 4.0) / 11 = 10.0 / 11 = 0.91
Therefore, the grade point average would be approximately 0.91 rounded to the hundredths place.
Which of the following describes a triangle?
A. One-dimensional
B. Two-dimensional
C. Zero-dimensional
D. Three-dimensional
Answer:
B
Step-by-step explanation:
A triangle has both x and y values making it 2D. A 1D object is a point, a 3D object is a cube or something, and a 0D object is nothing.
which of the following binomials below is a factor of this trinomial x(x)-13x+36
Answer:
(
x
+
4
)
(
x
+
9
)
=
0
Your answer would be x=-4 and x=-9.
Explanation::
(
x
+
4
)
(
x
+
9
)
x
times
x
=
x
2
x
(
9
)
+
x
(
4
)
=
13
x
4
times
9
=
36
=
x
2
+
13
x
+
36
Answer:
So the factors of the given are:
(x-4) and (x-9).
The factored form of the given expression is (x-4)(x-9).
Step-by-step explanation:
To factore the given quadratic with leading coefficient one, you must find two numbers that add to be and multiply to be c.
a=1
b=-13
c=36
So we need two numbers that multiply to be 36 and add to be -13.
These numbers are -4 and -9 since
(-4)(-9)=36 and -4+-9=-13.
So the factors of the given are:
(x-4) and (x-9).
The factored form of the given expression is (x-4)(x-9).