The number of customers he would have in the seventh week is 37.
How many customers would there by in the seventh week?The customers of Felix grow at a linear rate. A linear growth rate is when a value increases a constant rate. The customers would increase by 2 each week.
The linear equation that represents the number of customers in the seventh week:
Initial number of customers + [ rate of increase x (number of weeks - 1)]
25 + [2 x (7 - 1)]
25 + (2 x 6)
25 + 12 = 37
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When inflating a balloon, which of the following represents an equal but opposite force acting on the balloon?
A.) releasing the balloon
B) the air entering the balloon
C) tying the balloon
D) the expansion of the balloon
When inflating a balloon, the expansion of the balloon represents an equal but opposite force acting on the balloon
What is force?A force is an influence that has the power to alter an object's motion. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F.Thrust, which increases an object's velocity; drag, which decreases an object's velocity; and torque, which causes changes in an object's rotational speed, are all concepts connected to force. Each part of an extended body often exerts stresses on the sections that are nearby; the distribution of these forces throughout the body is what is known as the internal mechanical stress. Due to the balance of the forces, such internal mechanical stresses do not generate acceleration of that body. Pressure is a straightforward form of stress that, if unbalanced, can cause the body to accelerate. Pressure is the distribution of several small forces applied over an area of a body. Stress typically results in the flow of fluids or the deformation of solid materials.To learn more about force, refer to
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100 brainly!! Which of the following values are in the range of the function graphed below? Check all that apply.
Answer:
B
Step-by-step explanation:
Write the equation in slope intercept form: x-3y=12
Answer:
[tex]\\ y = \frac{1}{3} x - 4[/tex]
Step-by-step explanation:
Hope this helps! :))
NEED HELP ASAP 25 pointsWhich equation best describes the data in the table?x y-2 -41 -73 1 6 28options:a. y=x-2b. y=3x-4c. y=x^2-8d. y=2x^2-3
To determine the equation that best describe the data in the table, let us substitute the value of x given on the table into each equation and check for the equation that gives us the corresponding values of y;
for x = -2, y=-4; substituting x= -2 into each equation, we have;
[tex]\begin{gathered} a)y=x-2=-2-2=-4 \\ b)y=3x-4=3(-2)-4=-16 \\ c)y=x^2-8=-2^2-8=4-8=-4 \\ d)y=2x^2-3=2(-2)^2-3=5 \end{gathered}[/tex]From the first substitution, only equation a and c gave us the corresponding value of y.
Secondly, let's substitute another value of x into the two right right equaabove to confirm the best;
At x=1, y= -7; substituting x=1 into equation a and c we have;
[tex]\begin{gathered} a)y=x-2=1-2=-1 \\ c)y=x^2-8=1^2-8=-7 \end{gathered}[/tex]From the above only equation c gave us the corresponding value of y at x=1.
Since only equation c gave us the corresponding values of y for both substituttions. The equation that best describe the data on the table is equation cequatio
[tex]c\text{. }y=x^2-8[/tex]If f(x) = 12x and g(x) = -4x-12, find (f ·g)(x).
A.) -48x^2 - 12x
B.) -48x^2 - 144x
C.) -4x^2 - 144x
D.) -192x^2
Answer:
[tex]-48x^2 - 144x[/tex]
Step-by-step explanation:
[tex](f \cdot g)(x)=f(x) \cdot g(x) \\ \\ =12x(-4x-12) \\ \\ =-48x^2-144x[/tex]
In the community of Greendale, a local restaurant donates 15% of the total sales to student-based clubs on certain funding nights.
A- Write an equation to represent the relationship between the dinner sales (d) and the amount (a) the organization will receive.
B- What is the constant of proportionality? Interpret the constant proportionally for the problem situation.
C- How much will the organization receive if dinner sales are $3600?
NEED BY 2:35 CENTRAL TIME!!! OFFERING 35 POINTS! MIDDLE SCHOOL MATH!
The equation that represents the relationship between dinner sales and the amount the organisation would receive is a = 0.15d
The constant of proportionality is 0.15.
Th amount the organisation will receive if dinner sales is $3600 is $540
What is the relationship between dinner sales and the amount the organisation would receive?The equation that would be used to represent the relationship between dinner sales and the amount the organisation would receive is a linear equation.
A linear equation is an equation that has one variable that is raised to the power of one. A linear equation can either be either be a positive function or a negative equation. When a linear equation is drawn on a graph, the graph is a straight line.
The form of the linear equation would be:
total amount received by the organisation = percentage x amount the restaurant receives.
a = 0.15d
0.15 is the constant of proportionality. It is the value that relates the amount the organisation would receive and the amount the restaurant would receive.
a = 0.15 x 3600
a = $540
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Which expression is equivalent to (m^−5n^−3)^−3?
Answer:
[tex]m^{15} n^{9}[/tex]
Step-by-step explanation:
WILL MARK BRAINLIEST FOR THE BEST AND MOST ANSWERED OUT REPLY
1. A recent election poll claims that Candidate A is projected to win the election with 53% of the vote. If a sample of 2436 voters is polled, determine if Candidate A can be guaranteed a win with 95% confidence.
Select an answer
a. yes
b. no
c. Not enough information
Explain why or why not using two sentences.
Using percentages we can conclude that 95% of votes that is 2,314 votes (B) cannot be guaranteed which is 1,023 votes more than the projected 53% winning votes (1,291 votes).
So, candidate A has a projection of winning 53% votes.
A sample of 2436 voters is pulled, then:
2436/100 × 53 = 1,291 votesCan candidate A be guaranteed 95% votes which are:
2436/100 × 95 = 2,314 votesDifference: 2,314 - 1,291 = 1,023
Therefore, using percentages we can conclude that 95% of votes that is 2,314 votes (B) cannot be guaranteed which is 1,023 votes more than the projected 53% winning votes (1,291 votes).
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can someone help me out with this?
Answer:
area of triangle is length *breathe
4.5 * 5.5 = 24.75
find the value of x in each case
Answer:
x=23
Step-by-step explanation:
The amount of degrees in a triangle is 180 degrees.
line AC and line DF are straight angles meaning that the opposite angles are equal to each other. That means that angle FBC is also equal to x. Because line AC and EF are parallel we know that FBC and BFE are equal. Therefore, BFE is equal to x. The sum of the values of each angle of the triangle should add up to 180. 5x+65=180
5x=115
x=23
if the work required to stretch a spring 3 ft beyond its natural length is 15 ft-lb, how much work (in ft-lb) is needed to stretch it 18 in. beyond its natural length? give your answer in decimal form.
The amount of work needed to stretch the spring 18 in. from its natural position is 3.75 ft-lb.
According to the Hooke's Law, the work done on the spring is:
W = 1/2. k . x²
Where:
k = spring constant
x = displacement.
Notice that the work done is directly proportional to x².
Hence,
W₁ : W₂ = x₁² : x₂²
Parameters given:
W₁ = 15 ft-lb
x₁ = 3 ft
x₂ = 18 in. = 1.5 ft
Plug the above parameters into the ratio equation:
15 : W₂ = 3² : (1.5)²
W₂ = (1.5)² . 15 / 3² = 15/4 = 3.75 ft-lb
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You want to go on a swamp tour. How long does it take a swamp vehicle that travels at 3.2 miles per hour to travel across the swamp, from point Z to point S ?
If the swamp vehicle that travels at 3.2 miles per hour to travel across the swamp, then the time taken to travel from point Z to point Y is 1.56 hours
The speed of the swamp vehicle = 3.2 miles per hour
From the figure we can see the two triangles ΔXVM and ΔXYZ
Here we have to use the ratio of the two similar triangles
The ratio will be
VW/WX = YZ/ZX
Substitute the values in the equations
10/6 = YZ/3
We have to find the distance from point Z to point Y
YZ = (10/6)×3
= 5 Miles
We know
Speed = Distance / Time
Time = Distance / speed
= 5/3.2
= 1.56 hours
Hence, if the swamp vehicle that travels at 3.2 miles per hour to travel across the swamp, then the time taken to travel from point Z to point Y is 1.56 hours
The complete question is
You want to go on a swamp tour. How long does it take a swamp vehicle that travels at 3.2 miles per hour to travel across the swamp, from point Z to point Y ?
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Please answer attached question with diagram :)
The translation observed by shape A after reflection is
x direction -5y direction -2What is translation?Translation refers to a linear movement used in describe repositioning of image during transformation
Transformation is the generally the repositioning of an image. Transformations are usually described in a cartesian plane for ease of comprehension.
The shape A after reflection had a new position. The new position was moved downwards, in the y direction by 2 units representing -2
The shape was further moved to the left 5 units in the x direction representing -5
Hence we say that c = -5 and d = -2
This describes the position of the image now labeled shape B
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what are the coordinates of a’?
Which of the following correctly uses the distributive property to multiply 12 and 9?
(10 x 10) − (2 x 1) = 100 − 2 = 98
(10 x 10) + (2 x 1) = 100 + 2 = 102
(10 x 9) − (2 x 9) = 90 − 18 = 72
(10 x 9) + (2 x 9) = 90 + 18 = 108
Answer:
(10 x 9) + (2 x 9) = 90 + 18 = 108
Step-by-step explanation:
This is the answer because you break 12 into different parts, multiply them separately multiply them with nine. You can check the answer by doing 12*9 = 108 which matches what we need.
there are 90 girls and 60 boys in the sixth grade at kimbrough middle school. Of these
students, 9 girls and 3 boys write left-handed. What percentage of the sixth graders at this middle school write left-handed?
The percentage of the sixth graders at this middle school write left-handed is 8%.
How to calculate the percentage?Since there are there are 90 girls and 60 boys in the sixth grade at kimbrough middle school. The total number will be:
= 90 + 60
= 150 students
Since 9 girls and 3 boys write left-handed, this will give a total of 9 + 3 = 12
Therefore the percentage for left handed people will be:
= Number of left handed people / Total students × 100
= 12 / 150 × 100
= 8%
The percentage is 8%.
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Britany is bringing birthday cake and cookies to her office. She has already spent $10.00 on the cake. Cookies cost $0.70 each, and she does not wish to spend more than $34.50 for all desserts. If x represents the number of cookies she can buy, which of the following inequalities symbolizes this situation?
A.
$10.00x + $0.70 < $34.50
B.
$0.70x + $10.00 < $34.50
C.
$0.70x + $10.00 < $34.50
D.
$10.00x + $0.70 < $34.50
Considering the definition of an inequality, the correct answer is option C. the inequiality $0.70x + $10.00 < $34.50 symbolize this situation
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.The solution of an inequality is the set of numbers that make the inequality true.
Inequality in this caseIn this case, you know that:
Britany has already spent $10.00 on the cake. Cookies cost $0.70 each. She does not wish to spend more than $34.50 for all desserts.Being "x" the number of cookies Britany can buy, the inequality that expresses the previous relationship is
10 + 0.70x <34.50
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what the meaning of geometric sequence?
Answer:
What is the meaning of geometric sequence?
Step-by-step explanation:
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value. Its general term is. a n= a 1 r n – 1. The value r is called the common ratio. It is found by taking any term in the sequence and dividing it by its preceding term.
Answer:
Below.
Step-by-step explanation:
It is a sequence of numbers with a common ratio. That is, each term after the first is obtained by multiplying the previous one by the common ratio.
Examples:
2, 6, 18, 54 ... is a geometrics sequence with common ratio 3.
1, 1/2, 1/4, 1/8 ... has a common ratio of 1/2.
-1, 1, -1, 1, -1 ... has a common ratio of -1.
The nth term of a geometric sequence is given by
a r^(n-1) where a = first term and r = common ratio.
3.) Martin charges $10 for every 5 bags of leaves he rakes, Last weekend, he raked 25 bags of leaves. How much money did he earn?
bags of leaves : 5
Cost = $10
Divide the cost by the number of bags:
10/5 = $2 per bag
Now, multiply by 25
2 x 25 = $50
fine the value of x. please help
Answer:
141 degrees
Step-by-step explanation:
The total angle interior of a triangle is 180 degrees. And the 2 angles opposite of x equal it so x=103+38
What is an equation of the line that passes through the points (4, -3) and
(5, -5)?
Can someone solve this I don’t understand the graph
The graph given in the problem is the function of cosine that is;
y = -cos x
How to find the function which was used to make a graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it. If the function crosses x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
Suppose that we've got:
f(x) = a cos (bx - c) + d
Then, this function has the Amplitude (the maximum distance of the graph from the middle line) = a
Period = [tex]\dfrac{2\pi}{b}[/tex]
Phase shift = [tex]\dfrac{c}{b}[/tex]
Maximum value: a + d
Minimum value: -a + d
Here we can see that the graph is the function of cosine that is;
y = -cos x
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three young brother-sister pairs from different families need to take a trip in a van. these six children will occupy the second and third rows in the van, each of which has three seats. to avoid disruptions, siblings may not sit right next to each other in the same row, and no child may sit directly in front of his or her sibling. how many seating arrangements are possible for this trip?
The number of permutations possible to seat the 3 pairs of siblings in a way that one may not sit right next to their sibling and no child may sit directly in front of his or her sibling is 96.
A permutation cannot be formed with siblings in the same row.
As a result, each row should have siblings from various families.
Any of the six youngsters can take the first seat.
After deducting the kid who currently occupies the first seat and their sibling, the second seat can be filled by any of the four children.
permutation = 6 × 4
permutation = 6 × 4 × 2
Now, for the third row, there are only 3 children left to be seated.
Only 2 out of the remaining three can be seated in the first position.
Hence, the remaining possibility is 2.
permutation = 6 × 4 × 2 × 2
Similarly, the third row can only be filled with one possibility remaining of the 6 since it is not allowed to seat siblings right up front.
permutation = 6 × 4 × 2 × 2 × 1 × 1 = 96
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5/3x+1/3x=11 1/3+8/3x
Answer:
-111/2
Step-by-step explanation:
Please look at the attachment below! :D
For her science fair project, Madelyn is growing crystals with sugar water. She wants to know if the size of the container has an effect on crystal growth. To start, Madelyn pours a sugar-water mixture into a small bowl. Then she pours triple the amount of the mixture into a large bucket. She decides to add red coloring so the crystals are more visible. Madelyn adds the same amount of red coloring to both containers. Which container's sugar water mixture is a darker shade of red?
The container whose sugar water mixture is a darker shade of red is: A. the small bowl's mixture is a darker shade of red.
What is a ratio?A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
In this scenario, the ratio of the sugar water mixture in the small bowl (S) to the sugar water mixture in the large bucket (L) can be represented by this mathematical expression:
S:L = 1:3
Also, when red coloring is added to both containers, we have:
S:L = 1r:3r
In this context, we can reasonably and logically deduce that the mixture in the small bowl would have a darker shade of red because it is less diluted in comparison with the sugar water mixture in the large bucket.
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Complete Question:
For her science fair project, Madelyn is growing crystals with sugar water. She wants to know if the size of the container has an effect on crystal growth. To start, Madelyn pours a sugar water mixture into a small bowl. Then she pours triple the amount of the mixture into a large bucket. She decides to add red coloring so the crystals are more visible. Madelyn adds the same amount of red coloring to both containers. Which container's sugar water mixture is a darker shade of red?
answer choices
The small bowl's mixture is a darker shade of red.
The large bucket's mixture is a darker shade of red.
Neither. The mixtures are the same shade of red.
Using the drawing tools to form the correct answer on the provided graph
Horizontal line with the given function: y = 4
Explanation:
Since the midline of a sine function is the horizontal centerline about which the functions oscilliart above and below, the corresponding line here is y = 4 with x = 0.
NB:
The midline is parrallel to y = 0 ~ the x-axis.
Find the derivatives of the following using increment method.1.y = 6x² +10x - 3
Given
[tex]y=6x²+10x-3[/tex]Find
derivatives using increment method.
Explanation
Given
[tex]y=6x²+10x-3[/tex]replace x and y by
[tex]\begin{gathered} x+\Delta x \\ y+\Delta y \end{gathered}[/tex]so ,
[tex]\begin{gathered} y+\Delta y-y=6(x+\Delta x)^2+10(x+\Delta x)-3-(6x^2+10x-3) \\ \Delta y=6x^2+6\Delta^2x^2+12\Delta x^2+10x+10\Delta x-3-6x^2-10x+3 \\ \Delta y=12\Delta x^2+6\Delta^2x^2+10\Delta x \\ \end{gathered}[/tex]now divide by
[tex]\Delta x[/tex]so ,
[tex]\begin{gathered} y^{\prime}=\frac{12\Delta x^2+10\Delta x+6\Delta^2x^2}{\Delta x} \\ \\ y^{\prime}=12x+10+6\Delta x \end{gathered}[/tex]now taking limit
[tex]\begin{gathered} \lim_{\Delta x\to0}y^{\prime}=\lim_{\Delta x\to0}(12x+10+6\Delta x) \\ \\ y^{\prime}=12x+10 \end{gathered}[/tex]Final Answer
Therefore , the derivative of the function using increment method is 12x + 10
A construction crew is lengthening a road that originally measured 10 miles. The crew is adding one mile to the road each day.Let L be the length (in miles) after D days of construction.Write an equation relating L to D. Then graph your equation using the axes below.
Let:
L = length of the road
D = Days of construction
We can write a linear equation in the slope-intercept form:
[tex]y=mx+b[/tex]Where:
m = Slope = rate = 1 mile per day
b = y-intercept = Initial value = 10 miles
Therefore:
[tex]\begin{gathered} L=1D+10 \\ L=D+10 \end{gathered}[/tex]The graph is:
A line has a slope of -2 and includes the points (8, 10) and (10, a). What is the value of a?
Answer: 6
Step-by-step explanation:
m = -4 / 2 = -2 / 1 = -2
What is the length of AC?
Answer:
126 units!
Step-by-step explanation:
I hope this helped!! c: