The f -intercepts and r -intercepts of the function are (0, 180) and (6, 0), (-6, 0),(5, 0)
What is y-intercept of a function?The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Assume that we've got: y = f(x)
At y-axis, we've got x = 0, so putting it will give us the y-intercept.
Thus, y-intercept of y = f(x) is y = f(0)
We are given that;
The function is f ( r ) = ( r − 6 ) ( r + 3 ) ( r − 1 )
Now,
Substituting r=0 for f -intercept
f(0) = (0-6)(0+6)(0-5)
f(0) = 180
The f-intercept is (0, 180);
Solving for the r-intercepts;
Set the function equal to 0.
0 = (r-6)(r+6)(r-5)
(r-6) = 0
r = 6
(r+6) = 0
r = -6
(r-5) = 0
r = 5
Therefore, the r-intercepts will be (6, 0), (-6, 0), and (5, 0)
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Sheet Metal Trades To determine the average thickness of a metal sheet, a Sheet metal worker measures it at five different locations. Her measurements are 0.0401, 0.0417, 0.0462, 0.0407, and 0.0428 in. What is the average thickness of the sheet?
The average thickness of the metal sheet is 0.0423 inches.
What do you mean by average?In statistics, the mean is a measure of central tendency of a set of data. It is also referred to as the arithmetic mean and is calculated by adding up all the values in the data set and dividing by the total number of values.
Mean = (sum of all values) / (number of values)
For example, suppose we have the following set of data: 5, 7, 9, 11, 13. To find the mean, we add up all the values and divide by the total number of values, which is 5 in this case:
Mean = (5 + 7 + 9 + 11 + 13) / 5
Mean = 9
Therefore, the mean of this data set is 9.
The mean is a commonly used measure of central tendency because it takes into account all the values in the data set and is sensitive to changes in the data. However, it can be affected by outliers or extreme values in the data set, which can skew the results.
To find the average thickness of the sheet, we need to add the five measurements together and then divide by 5 (the number of measurements):
Average thickness = (0.0401 + 0.0417 + 0.0462 + 0.0407 + 0.0428) / 5
Average thickness = 0.0423 in
Therefore, the average thickness of the metal sheet is 0.0423 inches.
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how do I calculate 1/6 of 11/12?
Answer: Exact Form:
11/72
Decimal Form:
0.1527 repeating
Step-by-step explanation:
6 x 12 and 1 x 11
Mia bought five pounds of potatoes and sent a total of 3.65 for them
The cost of one pound of potato is 0.73 pounds.
What is Algebra ?The mathematical field of algebra assists in the depiction of problems or conditions as mathematical statements. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
Now in the given question , we have to find the cost of one pound of potato.
here we have to find the cost of one pound of potato mia bought.
she total spent $3.65 for them and bought five pounds of potatoes.
cost of one pound of potato
= [tex]\frac{total spent}{total bought} = \frac{3.65}{5} =0.73 pounds[/tex]
hence, cost of one pound of potato is 0.73 pounds.
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The cardiovascular system transports materials around the body, taking nutrients from the digestive system to the tissues, moving oxygen from the lungs to the cells, and taking wastes to the kidneys where they are filtered and excreted. What functions does the cardiovascular system share with the endoplasmic reticulum of the cell? select all that apply.
There are no shared functions between the cardiovascular system and the endoplasmic reticulum of the cell.
The endoplasmic reticulum is an organelle within cells that plays a role in protein synthesis, lipid metabolism, and other cellular processes. It does not transport materials around the body or filter wastes.
The endoplasmic reticulum is equipped with a complex network of pathways designed to meet the needs of the cell's secretory and integral membrane protein manufacturing processes. It also has adaptive responses prepared for the endoplasmic reticulum to rely on under stressful situations.
Because to the complexity and necessity of these pathways, a variety of conditions can result in a defective endoplasmic reticulum and a dysfunctional cell, which may advance disease.
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Three vertices of a parallelogram are located at (-4, 3), (1, -2), and (-1, 4). What are
two possible locations of the fourth vertex? Explain your reasoning.
The two possible locations of the fourth vertex are (4, -1) and (-6, 9). The solution has been obtained by using the properties of parallelogram.
What is a parallelogram?
A parallelogram has two sets of parallel sides, making it a quadrilateral. A parallelogram's opposing sides and angles are both the same length.
Finding the vector that depicts the shift from one of the given vertices to another is necessary in order to determine the fourth vertex of a parallelogram.
The third given vertex must then be added to the vector.
We know that the opposite sides of a parallelogram are parallel and equal in length, we may determine the coordinates of the other two vertices by adding the same displacement vector to two of the given vertices.
The difference between the first and second provided vertices i.e.
(1 - (-4), -2 - 3), is one potential displacement vector which is (5, -5).
On adding this vector to the third vertex, we get the fourth vertex as (4,-1).
Similarly, the difference between the second and third vertices i.e.
(-1 - 1, 4 - (-2)) is another potential displacement vector which is (-2, 6).
On adding this vector to the third vertex, we get the fourth vertex as
(-6, 9).
Hence, the two possible locations of the fourth vertex are (4, -1) and
(-6, 9).
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What is the simplest form of
x^2+ 5x-36/
X^2-16
?
Can somebody help awnser these questions
A. The amount deducted from Frank's bank every years is $59700
B. The salary of the tax will be $99500.
C. Tax deducted from her new pay is $39800
What is simple interest?A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
a. 79600 - (79600 × 25%)
$59700
b. The formula for simple interest is:
S = p*t*r/100
p = 79600
r = 25%
t=1
S = 79600*1*25/100 = 19900
New salary = 79600 + 19900
= $99500
Hence the salary of the tax will be $99500.
c. 99500 - 59700
= $39800
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Car = V-8 sedan
Year driven = third
Miles driven = 10,000
The depreciation for this vehicle using method 2 will be $
The depreciation of the vehicle at third year with miles driven 10,000 is $590.
What is depreciation cost?A fixed asset's depreciated cost is equal to its value less the total amount of accumulated depreciation that has been recorded against it.
The depreciated cost is used to calculate an asset's value after its useful life is over.
The depreciated cost helps organizations examine their capital spending patterns and their accounting technique.
The depreciated cost is also known as the "residual value," "net book value," or "changed cost base."
The depreciation cost per mile for the third year is given as 5.9 cents.
The miles driven = 10,000
The depreciation for the vehicle is:
(5.9)(10,000) = 59000 cents.
Converting into dollars:
59000/100 = $590.
Hence, the depreciation of the vehicle at third year with miles driven 10,000 is $590.
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How to identify outliers in a set of data? Explain how to and answer my question.
Minimum: 1
Q1: 5
Median: 19.45
Q3: 31.5
Max: 41.6
The outliers in a set of data is the maximum value 41.6.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
Given that Minimum: 1
Q1: 5
Median: 19.45
Q3: 31.5
Max: 41.6
Range = Maximum - minimum
Range =41.6 -1
= 40.6
Since Mean not including the outlier.
The outliers in a set of data is 41.6.
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Which of the following strategies will help you gain instructional control? Behavior tech
Gaining instructional control is an important aspect of teaching and behavior management.
What is instructional control?Instructional control is a term used in behavior analysis to describe a situation in which a teacher or other instructional agent has established the conditions necessary for effective teaching to occur.
Here are some strategies that can help you gain instructional control:
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A cargo ship contains a total of 16,770
containers that are evenly placed in 65
rows. How many containers are in each row?
ANSWER AND I'LL MARK U BRAINLIEST PLS.
Answer:258 containers
Step-by-step explanation:
Simply,
16770/65=258.
Hope this helps :]
Miri and Sara are collecting bags of aluminum cans for a recycling drive. Miri collects 3 times as many bags of
cans as Sara. Miri collects 123 bags of cans. Which equation and solution represent the number of bags of cans,
s, Sara collects?
The equation and solution that represents the number of bags of cans of aluminum cans for recycling that Sara collects, given that Miri collects 3x cans as Sara, is x = 123/3, which is 41.
What is an equation?An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.
Mathematical expressions contain variables, constants, numbers, and values using mathematical operands.
Equations differ from mathematical expressions based on the use of the equation symbol (=).
The number of bags of aluminum cans collected by Sara = x
The number of bags of aluminum cans collected by Miri = 3x
3x = 123 bags
The equation representing the number of bags of cans Sara collects x = 123/3
x = 41 (123/3)
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please help as quickly as possible!
On solving the provided question we can say that the quadratic equation is 3x²+15x+9=0
What is quadratic equation ?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
the quadratic equation is 3x²+15x+9=0
by Shridhara Charya formula method, we have
x=−0.697224
x=−4.30278
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y=-2x-5 solve algebraically
The graph of ordered pairs (0, -5), (1, -3), (2, -1), (3, 1) is given below.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is y=2x-5.
Substitute x=0, 1, 2, 3, 4, ..... in the equation y=2x-5, we get
When x=0,
y=-5
When x=1,
y=-3
When x=2,
y=-1
When x=3
y=1
So, the ordered pair is (0, -5), (1, -3), (2, -1), (3, 1) and so on.
Therefore, the graph of ordered pairs (0, -5), (1, -3), (2, -1), (3, 1) is given below.
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The nutrition information on the cereal box says that a 1/2-cup serving provides 210 calories and 9 grams of dietary fiber. At that rate, find how many calories and grams of fiber are in a 2/3-cup serving.
Answer:
Step-by-step explanation:
To find the number of calories and grams of fiber in a 2/3-cup serving, we can simply multiply the values for a 1/2-cup serving by the appropriate factor. A 2/3-cup serving is 1.5 times larger than a 1/2-cup serving, so we multiply the calorie and fiber content by 1.5.
210 calories * 1.5 = 315 calories
9 grams of fiber * 1.5 = 13.5 grams of fiber
So a 2/3-cup serving would contain 315 calories and 13.5 grams of fiber.
Complete the steps of the flowchart proof.
Note that the complete steps of the Flow Chart Proof is given as follows:
1) RS = TS, QR = UT [Given]
2) QR + RS = QR + RS [Reflexive Property of Equality]
3) QR + RS = RS + UT [Substitution Property of Equality]
4) QR + RS = QS, TS + UT = US [Segment Addition Postulate]
5) QS = US [Substitution Property of Equality]
6) Line Segment QS is congruent to Line segment US [Definition of Congruent Segments].
What is a Flow chart proof?A flow chart proof is a type of proof that uses symbols and diagrams to show the logical flow of a proof.
It is a visual way of representing a mathematical argument that can be helpful for organizing and presenting complex ideas in a clear and concise manner.
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1/4 (x - 2/5) = -1 1/2
Step-by-step explanation:
-1 1/2 = -3/2
1/4 × (x - 2/5) = -3/2
let's multiply both sides by 4 to remove the first fraction on the left side :
x - 2/5 = -12/2
x = -12/2 + 2/5 = -6 + 2/5
-6 = -6 × 5/5 = -30/5
so,
x = -30/5 + 2/5 = -28/5 = -5 3/5 = -5.6
please pick any form you need for your result.
(c) 10:35 f the foll ing ratio
The ratio 10:35 can be simplified to 2:7.
What is a Ratio?
A ratio in mathematics demonstrates how many times one number is present in another.
For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.
Similarly, the ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.
The ratio 10:35 can be simplified to 2:7.
To simplify a ratio, you can divide both values by the greatest common factor. In this case, the greatest common factor of 10 and 35 is 5, so 10 divided by 5 is 2, and 35 divided by 5 is 7.
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Simply the following ratio 10:35
statements about -27 that are true
The statements about the number -27 that are true are given as follows:
-27 is an integer number.-27 is a rational number.What are rational and irrational numbers?Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating.
Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots.
Integer numbers are numbers that have no decimal part, hence -27 is an example of an integer number, which are also rational numbers.
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In a regression equation (linear prediction rule), the "predicted score" for a person with a "predictor variable" score of 0 is 7. In this scenario, what is the "regression constant"?
The required value of "regression constant" is 7.
What is regression equation?Y = a + b X + e is the formula for the regression equation. The dependent variable (Y), which is being predicted or explained, has a value of Y. a, or Alpha, is a constant; it equals the value of Y when the value of X is 0, and b, or Beta, is a coefficient of X; it determines how much Y varies for each unit change in X and determines the slope of the regression line.
According o question:In a linear regression equation, the regression constant (also called the intercept) represents the predicted score when the predictor variable has a value of 0. In this scenario, the predicted score for a person with a predictor variable score of 0 is 7.
Therefore, the regression constant is 7.
The regression constant is usually combined with the regression coefficient of the predictor variable to form the complete regression equation, which is used to predict scores for individuals with different values of the predictor variable.
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Last year at a certain high school, there were 100 boys on the honor roll and 80 girls on the honor roll. This year, the number of boys on the honor roll decreased by 2% and the number of girls on the honor roll decreased by 10%. By what percentage did the total number of students on the honor roll decrease ? Round your answer to the nearest tenth (if necessary ).
Answer:
5.6%
Step-by-step explanation:
2/100 x 100 = 2
100-2 = 98 Boys on new Honor Roll
1/10 x 80 = 8
80-8 = 72 Girls on new Honor roll
180 Original Roll
170 On new Roll
x/100 x 180 = 170
x/100 = 17/18
x = 1700/18
x = 94.4444444
Round 94.4
5.6 percent decrease.
In the diagram, $ABCD$ABCD is a parallelogram. Which congruence theorem(s) can you use to show that $\triangle AED\ \cong\ \triangle CEB$△AED ≅ △CEB ? Select all that apply. Parallelogram A B C D is drawn with diagonals intersecting at point E.
Answer:
you are to use patagorious theory
When we are given the value of the ______ variable, we can use the least-squares regression line to predict the value of the ______ variable.
When we are given the value of the explanatory variable, we can use the least-squares regression line to predict the value of the outcome variable.
The least square method is the process of finding the best-fitting curve or line of best fit for a set of data points by reducing the sum of the squares of the offsets (residual part) of the points from the curve. During the process of finding the relation between two variables, the trend of outcomes is estimated quantitatively. This process is termed as regression analysis. The method of curve fitting is an approach to regression analysis. This method of fitting equations that approximates the curves to give raw data is the least squares.
It is quite obvious that the fitting of curves for a particular data set is not always unique. Thus, it is required to find a curve having a minimal deviation from all the measured data points. This is known as the best-fitting curve and is found by using the least-squares method.
When we are given the value of the explanatory variable, we can use the least-squares regression line to predict the value of the outcome variable.
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A soccer field (football pitch) has a length of 105.1 m and a width of 67.1 m. Find the total area of the field in square meters (m2) and convert this measurement to square yards (yd2). Use the fact that 1 yard = 0.9144 m. Round your answer to the nearest whole number.
Answer:
Step-by-step explanation:
A = l x w
A = 105.1m x 67.1m
A = 7052.21m
Convert to yds.
7052.21 / 0.9144 = 7712.4
To the nearest whole, the area is 7712 yds2.
Marisa solved the equation -3 = 6x as shown: -3 = 6x x= -2 which statement is correct?
Answer:
The statement "x = -2" is correct. Marisa correctly solved the equation -3 = 6x by dividing both sides by 6 to find that x = -2.
Step-by-step explanation:
WILL MARK AS BRAINLIEST
PLS 100PTS
1. what is the reciprocal of 0.0002?
2. what is the reciprocal of c/d
3. what is the reciprocal of 1⅔
4. Given that x²-y²=(x-y)(x+y)
5. Evaluate 173²-127²
6. Evaluate (8.70)²- (8.60)²
7. Evaluate 1003²- 9
Reciprocal of 0.0002 is:
1/0.0002 = 1/(2/10000) = 10000/2 = 5000Question 2Reciprocal of c/d:
1/(c/d) = d/cQuestion 3Reciprocal of 1 2/3 is:
1/(1 2/3) = 1/(5/3) = 3/5Use identity x² - y² = (x - y)(x + y) to solve the following questions.
Question 5Evaluate 173² - 127²:
173² - 127² = (173 - 127)(173 + 127) = 46*300 = 13800Question 6Evaluate (8.70)²- (8.60)²:
(8.70)²- (8.60)² = (8.70 - 8.60)(8.70 + 8.60) = 0.10*17.30 = 1.73Question 7Evaluate 1003²- 9:
1003²- 9 = 1003² - 3² = (1003 - 3)(1003 + 3) = 1000*1006 = 10060001 < (c - 1)^2 ≤ 36
What is the greatest integer solution to the inequality above?
Answer:
The greatest integer solution to the inequality 1 < (c - 1)^2 ≤ 36 is c = 6.
Step-by-step explanation:
Please help. I'll give brainliest.
351 and 1053 are the next terms of geometric sequence 13, -39, 117...
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The given series is 13, -39, 117..
We need to find the fourth and fifth terms of the sequence.
The given sequence is geometric sequence.
Geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
The general term of sequence [tex]a_{n} =ar^{n-1}[/tex]
r is the common ratio
r=-39/13
=-3
a=13 first term
a₄=13(-3)³
a₄=13(-27)
Fourth term is 351.
Now plug in n as 5 to find 5th term.
a₅=13(-3)⁴
a₅=1053
Hence, the next two terms of geometric sequence are 351 and 1053.
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please help me answer this :((
a. The number of pizzas the pizzeria must sell today for employees to receive the bonus will be 78 pizza.
b. The percent decrease in the number of pizzas sold today compared to yesterday is 7.69%.
How to calculate the valuea) To determine the number of pizzas the pizzeria must sell today for employees to receive the bonus, we need to calculate 20% of the 65 pizzas sold yesterday. 20% of 65 pizzas is 0.20 * 65 = 13. So, the pizzeria must sell 65 + 13 = 78 pizzas today for employees to receive the bonus.
b) To calculate the percent increase or decrease in the number of pizzas sold today compared to yesterday, we need to divide the difference between the two days' sales by the number of pizzas sold yesterday and multiply by 100.
((60 - 65) / 65) * 100
= (-5 / 65) * 100
= -7.69%
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A bicycle wheel has a radius of 225 mm and has 25 equally spaced spokes. What is the approximate arc length, rounded to the nearest hundredth, between each spoke? Use 3.14 for π. Show your work.
The approximate arc length is 56.52mm.
What is an arc length?
The distance between two places along a segment of a curve is known as the arc length. Curve rectification is the process of measuring the length of an irregular arc section by simulating it with connected line segments. There are a finite number of segments in the rectification of a rectifiable curve.
Here, we have
Given: A bicycle wheel has a radius of 225 mm and has 25 equally spaced spokes.
To solve this question, we have to use the formula of the length of an arc which is given as
L = θ/360 * 2πr
To find the angle between each spoke, let's divide 360 by 25
θ = 360/25
θ = 14.4
Now that we have the value of the angle, let's substitute it and solve for the length of the arc.
L = 14.4/360 * 2(22/7)(225)
L = 56.52mm
Hence, the approximate arc length is 56.52mm.
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