Answer:
G
Step-by-step explanation:
Try to understand what this equation is saying and what plugging in different values would represent.
At x=0, b(0)=850; which means the initial balance is $850. So H is incorrect.
At x=1, b(1)=871.25; which means that after 1 year, the initial balance will have increase to $871.25. So J is incorrect.
Since the initial vacation of 850 is being multiplied by a factor which is greater than one, the balance will be increased each year. So F is incorrect.
Finally, if we look at the factor by which we are multiplying, do a simple Algebraic step, and convert it into percentages we get:
1.025 = (1 + 0.025) = 100% + 2.5%
Essentially this is showing us that the balance will increase by 2.5% on however much is in the account each year.
So G is your answer.
(PLEASE ANSWER THIS SERIOUSLY! ITS FOR A TEST) Move the yellow dots in order to make the segments intersect. Let the intersection be called point X. Make the lines intersect in such a way that ∠TXV is an obtuse angle less than 135°. Afterwards, use the protractor to determine the precise measure of all four angles. You should redraw the lines if ∠TXV is not the proper size.
Answer:)Angle FIH and GIE after keeping angle EIH at 140° is 40° while ∠FIG will is the opposite angle of ∠EIH so it will remain the same as 140°.
Step-by-step explanation:We need to intersect both lines and make ∠EIH > 135°
So,Let's keep ∠EIH = 140°
Then,∠FIG = 140° (opposite angle)∠FIH = ∠GIE = x (opposite angle)
Now,The Sum of all angles around I will be 360 degrees.
So,140 + x + 140 + x = 360 ,2x + 280 = 360, 2x = 80 ⇒ x = 40°.
What is the slope of the line?
Please give me an explanation and the formula of:Sum of cubesplease don't copy and paste of internet
Sum of cubes.
The sum of cubes is a multiplication of polynomials in which we have the sum of the cube roots, times the trinomial composed by the squares of the cube roots, and the product of the cube roots with different sign.
Formula:
x³ + y³ = (x + y)(x² − xy + y²)
Amya is making a swayed flower bed with a circular fountain in the middle she wants to figure out mthe area if the part where she will plant flowers
Answer:
A
Step-by-step explanation: if u read closely and think about it hard enough youll see
20 students each rolled dice 5 times each to measure the median. Here is the data in the picture attached. What can we infer from this graph by looking at the median data?
A. when rolling a dice multiple times, the median is less likely to fall between numbers 1 and 6.
B. it's not possible to tell the likelihood of where the median is going to be when measuring probability since rolling dice is completely randomized, etc.
C. some other response
We can deduce that option A is likely to be true based on the given graph of rolling dice median data.
What is the median?The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.
The graph illustrates that the median value of the rolls is closer to the center of the possible outcomes (numbers 3, 4, and 5) than the extremes (numbers 1 and 6).
This implies that when rolling a dice several times, the median is less likely to fall between the numbers 1 and 6.
However, because rolling the dice is a random process, there is always a degree of uncertainty in predicting the outcomes.
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I’ll give brainliest! Please help
Answer:
65
Step-by-step explanation:
The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65
Do the side lengths 4, 8, and 10 form a triangle? Select the correct answer and reasoning. Question 11 options: A) Yes, because the sum of any two side lengths is greater than the third side length. B) No, because 4 + 8 is greater than 10. C) Yes, because the sum of all three side lengths is greater than 20. D) No, because the third side length is greater than the sum of the other two side lengths.
Answer:
A) Yes, because the sum of any two side lengths is greater than the third side length.
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 4 + 8 = 12, which is greater than 10, and the other two combinations (4 + 10 and 8 + 10) also satisfy this rule. Therefore, the given side lengths do form a triangle.
Step-by-step explanation:
What ordered pairs are the solutions of the system of equations shown in the graph below?
Answer:
(4,0) & (9,5)
Step-by-step explanation:
Where the equations cross are the solutions!
Hope this Helps! :)
Happy Studies
A recipe for pancake batter uses 2 cups of flour and makes 10 small pancakes. How many cups of flour are needed to make batter for 25 small pancakes? *
A3 B4 C5 D6
Answer:
C5
Step-by-step explanation: 10 x 2 = 20 so you add the 2 to the other one and get 4. Then half of 10 is 5 and half of 2 is 1, so add 1 to 4 and your answer is 5.
10x2= 20 +5= 25 Answer:5
Write five demicals that round to 0.96?
Answer:
0.964
0.959
0.961
0.958
0.963
Step-by-step explanation:
Anything below 5 can be rounded down, anything above 5 can be rounded up.
You can have a decimal after 0.96 to be less than 5, or a decimal after 0.95 to be greater than 5.
Here's some I picked:
0.964
0.959
0.961
0.958
0.963
Steven is paid $4.25 for each wodden duck he paints that passes inspection. What is his pay on a day when he paints 38 ducks, 2 of which were rejected?
His pay on that day will be $153
From the question, he paints 38 ducks while two of these failed inspection and were rejected
The number of ducks passing inspection will be 38-2 = 36
This means he will get paid on that day for painting 36 ducks
Since he gets $4.25 for a duck
For 36 ducks, the amount he will get will be = 36 * $4.25 = $153
2 over 9 times 3 over 8
Answer:
1/12
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
have a great day and have fun in the snow
Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.)
At least 11
The probability that the sum of the pips selected that is at least 11 would be = 1/12.
How to determine the probability of the selected events?To determine the probability of the selected events, the formula for problem should be used which is given below;
Probability = possible outcome/sample space
Possible outcome = at least 11 = (5,6),(6,5),(6,6)
= 3
Sample space = 36
Probability = 3/36 = 1/12
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Which of the following explains why this inequality is true?
7 3/8 × 4/5 < 7 3/8
The answers I have to choose from are:
A. When 7 3/8 is multiplied by a number greater than 1, the product is more than 7 3/8
B. When 7 3/8 is multiplied by a number greater than 1, the product is less than 7 3/8
C. When 7 3/8 is multiplied by a number less than 1, the product is more than 7 3/8
D. When 7 3/8 is multiplied by a number less than 1, the product is less than 7 3/8.
The correct option is B: The result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
Explain about the term mixed fractions:Once kids have a firm grasp on right fractions, they are exposed to mixed numbers and improper fractions.
Divide the numerator and denominator to create a mixed fractions from an incorrect fraction. The solution to this problem is the whole number portion; the leftover portion is the numerator; its denominator stays the same.
We can convert the two fractions to decimal form in order to compare them.
7.375 is equivalent to 7 3/8, and
4/5 is equivalent to 0.8.
7.375 multiplied by 0.8 results in:
7.375 × 0.8 = 5.9
Since the result is 5.9, which is less than 7.375, it follows that 7 3/8 multiplied by 4/5 is less than 7 3/8.
Thus, the result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
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Can someone please help and explain I will mark brainliest
Answer:
I really don't know I am sorry.
Step-by-step explanation:
Answer:
i = integers greater than n
n < i
n = smallest integer
a = 2nd largest integer
b = 3rd largest integer
c = largest integer
d = sum of all the integers
n + a + b + c = 2174
Step-by-step explanation:
Is 1.05 greater than or less than 1.3
The larger number is obtained as 1.3.
What is a Decimal number?A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.
The given decimal numbers are 1.05 and 1.3.
The decimal 1.3 can be written as 1.30.
Now, the two decimals can be compared as below,
1.05 and 1.30
Both the decimals have equal integer part.
Digit at tenths of 1.05 is 0 and for 1.30 is 3.
Since, 3 > 0.
⇒ 1.30 > 1.05
Hence, 1.3 is greater than 1.05.
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“Three angles are supplementary. The m<1 is x + 2 and m<2 is 2x + 4, and m<3 is x-2. find the measures of the angles. “ Help please:(
Since the three angles are supplementary, their sum equals 180. Then, we can write the following equation:
\((x+2)+(2x+4)+(x-2)=180\)solving for x, we get:
\(\begin{gathered} x+2+2x+4+x-2=180 \\ \Rightarrow4x+4=180 \\ \Rightarrow4x=180-4=176 \\ \Rightarrow x=\frac{176}{4}=44 \\ x=44 \end{gathered}\)now that we have that x = 44, the measures of each angle are:
\(\begin{gathered} m\measuredangle1=44+2=46 \\ m\measuredangle2=2(44)+4=88+4=92 \\ m\measuredangle3=44-2=42 \end{gathered}\)Which of the following statements is TRUE?
a. If f(x) and g(x) are differentiable functions defined on the closed interval [a, b], and f(x) attains its global maximum at x = c and g(x) d, then the function f(x) · g(x) attains its global maximum at x = attains its global maximum on [a, b] at x = c · ·d. b. The critical points of f' (x) are same as the critical points of f(x) c. The global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint. d. All of the statements are false. e. Every local maximum a global maximum
The global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint is correct. Statement C.
What is a critical value of a function?The critical value is the value of x for which the double derivative of the function f(x) becomes zero.
When double derivative becomes zero, the graph of the function is neither increasing nor decreasing and hence, the the function attains either
a maxima or a minima.
Hence, he global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint.
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which graph represents the linear function y=1/4x-3
90 points pls help
Answer:
Straight line graph with positive gradient (slope)
y-intercept: (0, -3)
x-intercept: (12, 0)
Step-by-step explanation:
\(y=\dfrac14x-3\) is a linear function
The line intercepts the y-axis when x = 0:
\(y=\dfrac14(0)-3=-3\)
Therefore, the y-intercept is (0, -3)
The line intercepts the x-axis when y = 0:
\(\implies \dfrac14x-3=0\\\\\implies \dfrac14x=3\\\\\implies x=12\)
Therefore, the x-intercept is (12, 0)
\(\\ \rm\Rrightarrow y=1/4x-3\)
Slope=m=1/3y intercept=b=-3Graoh attached
mark has a board that is 12 feet long he cuts the board into 8 peices that are the same lenght. how long is each peice
Answer: So, all you have to do is divide in this situation. He starts with a board that is 12 feet long, keep that in mind. If he cuts that into 8 pieces it's like he is dividing. So 12 divided by eight or 12/8 would be 1.5. Your answer is that each piece would be 1.5ft long.
Answer number 13 and 14 using piece wise and using interval notation
The piece wise function is \(\left \{ {{x} \ x < -1 \atop {1 \ -1 \leq x < 1}} \atop {x+ 1 \ x \geq 1}} \right.\) and the domain in the interval notation is {x| x ∈ R}.
What is piecewise function?A function with many parts of curves in its graph is said to be piecewise. It implies that based on the value of the input, it has many definitions. In other words, a piecewise function responds differently to various inputs.
A function with many definitions in various x-intervals is said to be piecewise. A piecewise function's graph is divided into sections that each correspond to one of its definitions. A very good illustration of a piecewise function is the absolute value function.
The piecewise function has the following intervals from left to right.
For an open dot on -1 we have x < -1.
For the close dot on -1 and open dot on 1 we have -1 ≤ x < 1.
For a close dot on 2 we have x ≥ 2.
The equation of the line on the interval is as follows:
The slope of the line is 1 and it intersects the y axis at 0, thus the function of the line is x.
The slope for the line in between is 0 and it intersect at 1, thus the function of the line is 1.
The slope of the line to the right is 1 and it intersects the y-axis when extended at 1. Thus, the function of the line is x + 1.
Putting the intervals and function together, the piece wise function is:
\(\left \{ {{x} \ x < -1 \atop {1 \ -1 \leq x < 1}} \atop {x+ 1 \ x \geq 1}} \right.\)
Domain are all the input values that the function takes, or the x-coordinates of the graph.
The domain of the piecewise function in the interval notation is:
Domain: {x| -∞ < x < ∞} or {x| x ∈ R}
Hence, the piece wise function is \(\left \{ {{x} \ x < -1 \atop {1 \ -1 \leq x < 1}} \atop {x+ 1 \ x \geq 1}} \right.\) and the domain in the interval notation is {x| x ∈ R}.
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Complete the equation that represents the proportional relationship shown in the table.
x 2 3 7
y 8 12 28
The equation that represents the proportional relationship shown in the table of values is y = 4x based on the given parameters
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to complete the equation that represents the proportional relationship shown in the table?The table of values is given as:
x 2 3 7
y 8 12 28
From the above table of values, we can see that the values on the y row are the results of multiplying 4 and values on the x rows
i.e. 8 = 4 * 2, 12 = 4 * 3 and 28 = 4 * 7
So, we have:
y = 4 * x
Evaluate
y = 4x
Based on the given parameters, the equation that represents the proportional relationship shown in the table of values is y = 4x
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Use the information to answer the question. The table shows the amount of lemon juice and water that 4 students mix. Student Luca Kal Jenna Micah Lemon Juice Water (fluid ounces) (fluid ounces) 2 6 4 6 10 8 9 B Which two students mix the same ratio of lemon juice to water? Choose two students to show the answer.
The two students that mix the same ratio of juice to water is given as follows:
A. Luca.
D. Micah.
How to obtain the ratio between two amounts?The ratio between two amounts a and b is given as follows:
a to b.
Which is also the division of the two amounts.
Hence the ratio of juice to water for each person is given as follows:
Luca: 2/6 = 1/3.Kal: 6/10 = 3/5.Jenna: 4/8 = 1/2.Micah: 3/9 = 1/3.Hence Luca and Micah used the same ratio, meaning that options A and D are correct.
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Actuall price of wedget is 10$ and bugeted Price is 7$ .what is price variance for 1000wedgets
The price variance for 1000 wedgets is found as $3,000.
Explain about the price variance?Price variance is calculated by multiplying the number of actual units bought by the actual unit cost of the item less the standard cost.Pricing variation is a key consideration when creating a budget.A pricing difference reveals which costs need to be handled by management since they are going above or below expectations.Actuall price of wedget = 10$.
Bugeted Price = 7$
For 1000 wedgets.
Actuall price of wedget = 10*1000$ = $10,000.
Bugeted Price = $7*1000 = $7,000.
Price variance = Actuall price of wedget - Bugeted Price
Price variance = 10,000 - 7,000
Price variance = $3,000
Thus, the price variance for 1000 wedgets is found as $3,000.
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NEED HELP NOW!!!! find the measure of the angle BXE using the figure below
Answer:
bxe is a triangle
Step-by-step explanation:
Question 20. Describe the graph of the following equation.
Answer: I'm really sorry its not clear enough for me to answer
Step-by-step explanation:
Gate posts are parallel and m<4 =47, what is m<1
The value of angle 1 given the value of angle 4 as 47° will be 133°
How to explain parallel linesParallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.
Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.
The value will be:
= 180° - 47°
= 133°
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The number N of locations of a popular coffeehouse chain is given in the table. (The numbers of locations as of October 1 are given.)(a) Find the average rate of growth between each pair of years.(b) Estimate the instantaneous rate of growth in 2006 by taking the average of the last two rates of change in part (a). locations/year(c) Estimate the instantaneous rate of growth in 2006 by measuring the slope of the tangent line through(2005, 10236) and (2007, 15005).locations/year(d) Estimate the instantaneous rate of growth in 2007 by measuring the slope of the tangent line through(2006, 12441) and (2008, 16683). locations/yearCompare the growth rates you obtained in part (c) and (d). What can you conclude?The rate of growth is constant.There is not enough information. The rate of growth is increasing.The rate of growth is decreasing.
The average rate of growth between each pair of years was calculated in part (a). The instantaneous rate of growth for 2006 was estimated in part (b) and (c), and the instantaneous rate of growth for 2007 was estimated in part (d). Comparing the growth rates from parts (c) and (d), it can be concluded that the rate of growth is constant.
In part (a), the average rate of growth between each pair of years was calculated by dividing the difference between the number of locations in two consecutive years by the number of years between them. For example, to find the average rate of growth between 2005 and 2006, the difference in the number of locations (12441-10236) was divided by the number of years (1). The result was 22.05 locations/year. In part (b), the instantaneous rate of growth in 2006 was estimated by taking the average of the last two rates of change from part (a). This was done by adding the rates of growth from 2005 to 2006 (22.05 locations/year) and 2006 to 2007 (27.64 locations/year) and then dividing by two. The result was 24.85 locations/year. In part (c), the instantaneous rate of growth in 2006 was estimated by measuring the slope of the tangent line through (2005, 10236) and (2007, 15005). This was done by finding the difference in the number of locations (15005-10236) and dividing by the number of years (2). The result was 22.85 locations/year. In part (d), the instantaneous rate of growth in 2007 was estimated by measuring the slope of the tangent line through (2006, 12441) and (2008, 16683). This was done by finding the difference in the number of locations (16683-12441) and dividing by the number of years (2). The result was 22.21 locations/year. Comparing the growth rates from parts (c) and (d), it can be concluded that the rate of growth is constant.
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Help solve this question and show how to do it
We have the function:
\(f(x)=-x^2+6x+8.\)We must find a simplify the difference quotient:
\(\frac{f(x+h)-f(x)}{h},h\ne0.\)1) First, we compute f(x + h):
\(\begin{gathered} f(x+h) \\ =-\mleft(x+h\mright)^2+6\mleft(x+h\mright)+8 \\ =-(x^2+2xh+h^2)+6(x+h)+8 \end{gathered}\)2) Now, we compute the difference f(x + h) - f(x):
\(\begin{gathered} f(x+h)-f(x) \\ =\lbrack-(x^2+2xh+h^2)+6(x+h)+8\rbrack-\lbrack-x^2+6x+8\rbrack \\ =-2xh-h^2+6h \\ =(-2x+6-h)\cdot h^{} \end{gathered}\)3) Finally, the quotient between difference and h is:
\(\frac{f(x+h)-f(x)}{h}=\frac{(-2x+6-h)\cdot h^{}}{h}=-2x+6-h\)Answer
\(\frac{f(x+h)-f(x)}{h}=-2x+6-h\)The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro