Answer:
\(x\geq 4y\\y\leq \frac{x}{4}\)
What is the proportion
4m 10m - - The accompanying figure is a water tank whose radmis is 4m and height 10m. 4.1 Determine the total surface area of the tank. (3)
Answer:
45789932
Step-by-step explanation:
3456899954433222222344577890009
Use the expression 6.7s - (10÷2) +15 to answer 9–10. 9. Which part of the expression represents a quotient? Describe its parts. 10. Which part of the expression represents a product of two factors? Describe its parts. 9. The part of the expression that represents a quotient is. (Use the operation symbols in the math palette as needed. Do not simplify.)
Answer:
9. The part of the equation that represents a quoient is (10÷2) because inside the parentheses you solve the division equation and a quoitent is the answer to a division equation
10. The part of the expression that represents the product of two factors would be 6.7s because 6.7 is being multiplied by s, and a product is an answer to a multiplication problem
Step-by-step explanation:
9. The part of the equation that represents a quotient is (10÷2). 10. The part of the equation that represents the product of two elements is 6.7s.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
6.7s - (10÷2) +15
9. The part of the equation that represents a quotient is (10÷2) since the division equation is solved inside the parenthesis and a quotient is the answer to a division problem.
10. Here 6.7 is multiplied by s, the component of the equation that represents the product of two elements is 6.7s, and a product is an answer to a multiplication expression.
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ2
The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards. Find the average change in field position on each run. Enter the average change as a simplified mixed number.
The average change as a simplified mixed number would be,
⇒ 1 3/4
A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
We have to given that;
The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.
Now, The average change as a simplified mixed number would be,
⇒ (12 1/4) / 7
⇒ (49/4) / 7
⇒ (49 / 4×7)
⇒ 7/4
⇒ 1 3/4
Therefore, The average change is,
⇒ 1 3/4
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ1
Determine the measure of the third angle in a triangle when the other two angles total 165 degrees.
Answer:
15
Step-by-step explanation:
180-15
Hello!
the sum of the angles in the triangle = 180°
so the 3rd angle = 180° - 165° = 15°
The answer is 15°Fill in the missing amounts. July Aug. Sept. Oct. Nov. Dec. Receipts $500 $550 $700 $850 $795 $715 Expenses $490 $550 $600 $795 $ $650 Net Cash Flow $ $0 $ $55 $45 $ Cumulative Balance $10 $ $110 $ $210 $275
July Aug. Sept. Oct. Nov. Dec. Receipts $500 $550 $700 $850 $795 $715 Expenses $490 $550 $600 $795 $ $650 Net Cash Flow $ $0 $ $55 $45 $ Cumulative Balance $10 $ $110 $ $210 $275 the missing values are 750, 10, 100, 65, 10, 165
This is further explained below.
What is Cumulative Balance?Generally, The term "cumulative balance" refers to the total amount of money left over at the end of a fiscal year after all surplus amounts have been subtracted from deficit amounts. If there is a negative amount in the Cumulative Balance at the conclusion of a fiscal year, then that balance will be carried forward and used as the opening balance for the next fiscal year.
The term "cumulative account" refers to the total amount of an employee's account under a defined contribution plan (for an unaggregated plan) or the total amount of an employee's account under all defined contribution plans included in an Aggregation Group (for aggregated plans), both of which are determined as of the most recent plan valuation date within the most recent 12-month period that ends on the...
In conclusion, for the following data July Aug. Sept. Oct. Nov. Dec. Receipts $500 $550 $700 $850 $795 $715 Expenses $490 $550 $600 $795 $ $650 Net Cash Flow $ $0 $ $55 $45 $ Cumulative Balance $10 $ $110 $ $210 $275 the missing values are 750, 10, 100, 65, 10, 165
Read more about Cumulative Balance
https://brainly.com/question/15009346
#SPJ1
Rewrite the following equation in slope-intercept form.
17x + 18y = -6
Answer:
y= -17/18x-1/3
Step-by-step explanation:
The slope-intercept form of the equation is y = (-17/18)x -1/3.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
A linear equation 17x + 18y = -6.
To find the slope-intercept form:
Simplifying,
17x + 18y = -6
18y = -6 -17x
y = -17/18x -1/3
Therefore, y = (-17/18)x -1/3 is the slope-intercept form.
To learn more about the linear equation;
https://brainly.com/question/29739212
#SPJ2
The theater was full when the movie began. Seventy-six people left
before the movie ended. One hundred twenty-four people remained.
How many people were in the theater when it was full?
The number of people were 200 in the theater when it was full.
What is a theater?
In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.
Given that, the theater was full when the movie began.
76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.
Apply algebraical operation that is addition to find the required answer.
Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.
To learn more about arithmetic operation, click on below link:
https://brainly.com/question/10639071
#SPJ1
What are the x-coordinates to the solutions of the system of equations:
x + y + 10 = 0
x ^ 2 + y - 2 = 0
A) x = - 4, -3
B) x= 4, 14
C) x= -3, 4
D) x= -3, -7
Answer:
C
Step-by-step explanation:
x + y + 10 = 0 ( subtract x + 10 from both sides )
y = - x - 10 → (1)
x² + y - 2 = 0 → (2)
substitute y = - x - 10 into (2)
x² - x - 10 - 2 = 0
x² - x - 12 = 0 ← in standard form
(x - 4)(x + 3) = 0 ← in factored form
equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 4 = 0 ⇒ x = 4
Ken solved the linear equation 2(5y - 1) = 18 using the following steps.
Step 1: 2(5y - 1) = 18
Step 2: 10y - 1 = 18
Step 3: 10y = 19
Step 4: y = 1.9
Which statement is true about Ken's method?
A. Ken made a mistake between Steps 1 and 2.
B. Ken made a mistake between Steps 2 and 3.
C. Ken made a mistake between Steps 3 and 4
D. Ken solved the equation correctly.
Answer:
A
Step-by-step explanation:
in step 1, when expanding the bracket, ken needed to do 2×5y AS WELL as 2×-1 which they didn't do. the correct answer after the first step should be 10y-2=18
Is the range a subset or a proper subset of the codomain?
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
What is a subset?A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
Learn more about subset here:
https://brainly.com/question/24138395
#SPJ1
Find the answer to 3/5 × 4 1/3
We are asked to find the product of a fraction times a mixed number as shown below:
\(\frac{3}{5}\cdot4\frac{1}{3}\)So we proceed to convert the mixed number into an improper fraction as shown:
\(4\frac{1}{3}=\frac{12}{3}+\frac{1}{3}=\frac{13}{3}\)and now we complete the product of fractions:
\(\frac{3}{5}\cdot\frac{13}{3}=\frac{13}{5}=2\frac{3}{5}\)which gives as answer the improper fraction 13/5 which we can convert in mixed number as: 2 3/5
Eloise practiced piano for 25 of an hour. Sarah practiced piano for 34 of an hour.
How much longer did Sarah practice than Eloise?
Answer:
34 - 25 = 9
Step-by-step explanation:
guys they meant 2/5 and 3/4...
what is the slope of the line of y=2x-100
The spread of a fungal infection in an ant colony
Given the equation:
\(\frac{dy}{dt}=\frac{y+1}{2\sqrt[\placeholder{⬚}]{t}}\)When t=1, y=3 (three percent of the ants are infected).
Replacing in the equation:
\(\frac{dy}{dt}=\frac{3+1}{2\sqrt{1}}=2\)a) The equation of the line tangent to the graph is:
\(\begin{gathered} y=3+2(t-1) \\ y=3+2t-2=2t+1 \end{gathered}\)In t= 1.2.
\(\begin{gathered} y(t)=2t+1 \\ y(1.2)=2(1.2)+1=3.4 \end{gathered}\)The percentage of the colony infected in t=1.2 is 3.4.
b) y explicity:
\(\begin{gathered} \frac{dy}{dt}=\frac{y+1}{2\sqrt{t}} \\ \\ \frac{dy}{y+1}=\frac{dt}{2\sqrt[\placeholder{⬚}]{t}} \end{gathered}\)integrating both sides:
\(\int\frac{dy}{y+1}=\int\frac{dt}{2\sqrt[\placeholder{⬚}]{t}}\)The first one will be:
\(\begin{gathered} \int\frac{dy}{y+1} \\ u=y+1 \\ du=dy \\ \int\frac{du}{u}=ln(u)=ln(y+1)+c \end{gathered}\)The second one, will be:
\(\begin{gathered} \frac{1}{2}\int\frac{dt}{\sqrt[\placeholder{⬚}]{t}} \\ \frac{1}{2}\int t^{-\frac{1}{2}}dt=\frac{1}{2}*(\frac{t^{-\frac{1}{2}+1}}{-\frac{1}{2}+1})=\frac{1}{2}(\frac{t^{\frac{1}{2}}}{\frac{1}{2}})=t^{\frac{1}{2}}+k \\ \end{gathered}\)Substituing:
\(ln(y+1)+c=t^{\frac{1}{2}}+k\)Using D=k-c
\(\begin{gathered} ln(y+1)=t^{\frac{1}{2}}+D \\ y+1=e^{\sqrt[\placeholder{⬚}]{t}}*e^D \end{gathered}\)Finally:
\(y=e^{\sqrt[\placeholder{⬚}]{t}}e^D-1\)
What is the solution to this system of equations?
x + y = 6
{ x = y +2
0 (3, 3)
o (4, 2)
O (2, 4)
O (6, 4
Answer:
3,3
....................
Help somebody please help
Answer:
D
Step-by-step explanation:
if u consider tangent of H angle in HJK u will have lm/9=4.5/6
If m∠J = 44°, what is m∠I?
Answer:
6666
Step-by-step explanation:
find the sum of the fractions below 2 1 over 2 + 2 1 over 3
Answer:
\( \frac{105}{6} \)
Step-by-step explanation:
\( \frac{21}{2} + \frac{21}{3} \)
lowest common multiple of 2 and 3 is 6
21×3 = 63
21×2= 42
they are now going to have the same denominator of 6
\( \frac{63}{6} + \frac{42}{6} \)
now u are just gonna add the neumerators and keep the denominator
\( \frac{105}{6} \)
y=3x²-5x+4 is there a relationship between the degree of a polynomial and how steep it is on the left and right edges. If it is so, what is it?
Answer:
Step-by-step explanation:
The revenue can be modeled by the polynomial function
R
(
t
)
=
−
0.037
t
4
+
1.414
t
3
−
19.777
t
2
+
118.696
t
−
205.332
where R represents the revenue in millions of dollars and t represents the year, with t = 6 corresponding to 2006. Over which intervals is the revenue for the company increasing? Over which intervals is the revenue for the company decreasing? These questions, along with many others, can be answered by examining the graph of the polynomial function. We have already explored the local behavior of quadratics, a special case of polynomials. In this section we will explore the local behavior of polynomials in general.
Multiplicity and Turning Points
Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Suppose, for example, we graph the function
f
(
x
)
=
(
x
+
3
)
(
x
−
2
)
2
(
x
+
1
)
3
.
Notice in the figure below that the behavior of the function at each of the x-intercepts is different.
Graph of h(x)=x^3+4x^2+x-6.
The behavior of a graph at an x-intercept can be determined by examining the multiplicity of the zero.
The x-intercept
x
=
−
3
is the solution to the equation
(
x
+
3
)
=
0
. The graph passes directly through the x-intercept at
x
=
−
3
. The factor is linear (has a degree of 1), so the behavior near the intercept is like that of a line; it passes directly through the intercept. We call this a single zero because the zero corresponds to a single factor of the function.
The x-intercept x=2
is the repeated solution to the equation (x−2)2=0
. The graph touches the axis at the intercept and changes direction. The factor is quadratic (degree 2), so the behavior near the intercept is like that of a quadratic—it bounces off of the horizontal axis at the intercept.
(x−2)2=(x−2)(x−2)
Begin by graphing the standard absolute value function f(x) = | x |. Then use transformations of this graph to describe the graph the given function.
g(x)=|x|+3
Using translation concepts, it is found that the graph of g(x) is a shift up of 3 units of the graph of f(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the functions are:
f(x) = |x|.g(x) = |x| + 3 = f(x) + 3.That is, the graph of g(x) is a shift up of 3 units of the graph of f(x), as shown at the end of this problem in the graph.
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
How do I do number 1??
Help me it’s due tomorrow!!!
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
We have,
In a parallelogram,
- Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths.
- Opposite angles are congruent:
The opposite angles of a parallelogram have equal
Now,
a)
Opposite angles are congruent:
So,
5x + 29 = 7x - 11
29 + 11 = 7x - 5x
40 = 2x
2x = 40
x = 40/2
x = 20
And,
3y + 15 = 5y - 9
15 + 9 = 5y - 3y
24 = 2y
y = 24/2
y = 12
b)
Opposite sides are congruent:
So,
-6x = -4x + 6
-6x + 4x = 6
-2x = 6
x = -3
And,
7y + 3 = 12y - 7
12y - 7y = 3 + 7
5y = 10
y = 2
Thus,
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
Learn more about parallelograms here:
https://brainly.com/question/1563728
#SPJ1
PLEASE ANSWER
10 points
Answer:
Step-by-step explanation:
-3.99
-1
-3.9
1
-3.999
-3
4
Hope this help!
I don’t get this can someone help me please?
Answer:
x=144
Step-by-step explanation:
since they are similar their sides have a common ratio
24/x=42/7
7x=42*24
7x=1008
x=144
Mid topic checkpoint chapter 4 for questions 3,and 4
3) The equation of the linear model would be y = 7.5x+60.
4) If Adam studies for 6 hours then his score would be 88.
What is the Linear equation?
An algebraic equation with only a constant and a first-order (linear) term is said to be linear if it has the formula y = mx + b, where m is the slope and b is the y-intercept. The above is occasionally referred to as a "linear equation with two variables," where y and x are the variables.
y = mx + c
where m denotes the slope.
The y-intercept is represented by the constant c. (Where x is zero)
In our instance, y-intercept equals 60.
The line's equation will therefore be:
y = mx + 60
y = mx + 60
There are given the line's coordinates (4, 90). These considerations will thus satisfy the equation.
90 = 4*m + 60
4.m = 30 m = 7.5 m = 7.5 y = 7.5x + 60 y = 7.5 * 6 + 60 y = 45 + 60 y = 105 is
y = 7.5x + 60.
If Adam's study for 6 hours then his score would be
y = 7.5x + 60.
y = 7.5(6) + 60
y = 105
Hence,
3) The equation of the linear model would be y = 7.5x+60.
4) If Adam studies for 6 hours then his score would be 88.
To learn more about equations refer to:
brainly.com/question/4344214
#SPJ1
I have 3 red balls, 3 blue balls and 3 yellow balls in a box. Total of 9 balls. Let's say that I randomly pick 3 balls, what are the chances of having at least 2 red balls in the 3 that I picked?
The probability of having at least 2 red balls in the 3 that I picked will be 1/3.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
I have 3 red balls, 3 blue balls, and 3 yellow balls in a crate. All out of 9 balls.
If the three balls are picked randomly, then the probability of having at least 2 red balls in the 3 that I picked will be given as,
P = 3/9
P = 1/3
The probability of having at least 2 red balls in the 3 that I picked will be 1/3.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ1
How many different 6-letter arrangements are possible using the letters in ALTUVE?
The answer is 32 because there are 5 in the actual one
Write 1 1/6 as an improper fraction
Step-by-step explanation:
Improper fractions have a numerator that is larger than the denominator
1 = 6/6
so 1 1/6 = 7/6
In ΔRST, the measure of ∠T=90°, the measure of ∠R=39°, and TR = 55 feet. Find the length of ST to the nearest tenth of a foot.
Answer:
ST = 44.54 ftExplanation:
given:
∠T=90° , ∠R=39° and TR = 55 ft
ST = 55×tan(39)
ST = 55×0.80..
ST = 44.54 ft
4. Solve the system using substitution.
x + 2y = -1
y = -3x - 8
A. (-3, 1)
B. (-3,-1)
C. (2,-2)
(-3,-17)
Answer:
A
Step-by-step explanation:
-3+2=-1 and (9)- 8=1