Answer:
Solution given:fig 1
base[b]=4cm
height[h]=15cm
we have
Area of parallelogram=b×h=15×4=60cm²
Solution given:fig 2
base[b]=18cm
height[h]=3cm
we have
Area of parallelogram=b×h=18×3=54cm²
Step-by-step explanation:
Solution given:fig 3
base[b]=11cm
height[h]=6cm
we have
Area of parallelogram=b×h=11×6=66cm²
Solution given:fig 4
base[b]=12cm
height[h]=5cm
we have
Area of parallelogram=b×h=12×5=60cm²
So fig 1 =fig 4[Area]
(-3/8) times 1 times (-9/10) times -8/3
Step-by-step explanation:
-3/8 × 1 × -9/10 × -8/3
we know
- × - = +
+ × - = -
therefore, since we have 3 negative factors we get a negative result.
we can ignore the completely neutral multiplication by 1.
-3/8 × -9/10 × -8/3 = -(3×9×8)/(8×10×3) = -9/10
Water is running into a bathtub at a constant rate. After 2 minutes, the tub is filled with 2.5 gallons of water. Write an equation for this proportional relationship. Use w for the amount of water (gallons) and t for time (minutes).
pls try to make answer simple, this is all my points
Answer:
w = 1.25t
Step-by-step explanation:
Since there is 2.5 gallons of water after 2 minutes, we can see that the constant rate of water poured is 1.25 gallons per minute.
Proportional Relationship:
(w/t) = (2.5/2)
Simplify:
2w = 2.5t
w = 1.25t
the following declaration statement is constructed incorrectly. correct the statement.int[] hours = 8, 12, 16;
The corrected statement should look like this:
```java
int[] hours = {8, 12, 16};
```
It looks like you are trying to create an integer array in Java called "hours" and initialize it with the values 8, 12, and 16. The given statement has incorrect syntax.
Declare the integer array using "int[]" followed by the variable name "hours".
This tells the Java compiler that you want to create an array of integers called "hours".
Use the assignment operator "=" to assign values to the array.
Enclose the values you want to assign to the array within curly braces "{" and "}" and separate each value with a comma.
The corrected statement should look like this:
```java
int[] hours = {8, 12, 16};
```
Now, the "hours" integer array is initialized correctly with the given values.
The syntax for declaring and initializing an integer array in Java is:
```java
data Type[] array
Name = {value1, value2, value3, ...};
```
In this case, "data Type" is "int", "array
Name" is "hours", and the values are 8, 12, and 16.
Remember to keep your code clean and concise to avoid syntax errors and make it easier for others to understand.
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What is the inverse of f(x) = (x+4)^3
Answer:
C
Step-by-step explanation:
\(Answer:\ f^{-1}(x)=\sqrt[3]{x} -4\)
Step-by-step explanation:
\(f(x)=(x+4)^3\)
Extract the cube root from both parts of the equations:
\(\sqrt[3]{f(x)} =x+4\\\sqrt[3]{f(x)}-4=x+4-4\\ \sqrt[3]{f(x)} -4=x\)
Redefine the variables:
\(f^{-1}(x)=\sqrt[3]{x} -4\)
Lo is leaving from work today at 5:45 p.m. She has errands to run before she meets her friends for dinner at 8 p.m. If it takes Lo of an hour to run each errand, how many errands does she have time to run between work and dinner?
3/4x = 2 1/4
A. 5
B. 3
C. 1
D. 2
Answer:
the answer is B
Step-by-step explanation:
here's why.... 2 times 4 plus 1 is 9 so ... 2 1/4 turns into 9/4 and 3 times 3 is 9 so if u place x with 3 it will be 9/4 therefore the fractions are equal.
PLEASE HURRY, LIMITED TIME EARLY!!!
Question-The center of circle A with equation (x – 7)2 + (y – 1)2 = 16 is mapped to the center of circle B with equation (x + 8)2 + (y – 2)2 = 16. Determine the translation needed for this mapping.
Answers-
A. (x, y) ⟶ (x - 15, y + 1)
B. (x, y) ⟶ (x - 12, y + 9)
C. (x, y) ⟶ (x - 8, y + 2)
D. (x, y) ⟶ (x + 15, y - 1)
The solution is Option A.
The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
Given data ,
Let the equation for the circle A be represented as
( x - 7 )² + ( y - 1 )² = 16
Now , the equation is of the form ( x - h )² + ( y - k )² = r²
So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )
Let the equation for the circle A be represented as
( x + 8 )² + ( y - 2 )² = 16
Now , the equation is of the form ( x - h )² + ( y - k )² = r²
So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )
So , the translation of circle A to B is given by
( 7 , 1 ) to ( -8 , 2 )
So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up
Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )
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Which list is in order from least to greatest?
Answer:
The first option.
Explanation:
Since these numbers are given in scientific notation, we must first look at the exponent to determine whether or not it's big or small. Negative exponents are less, so we start with that. Immediately, that eliminates the second and third options as -8 is less than -6 and 3. The last two numbers given in the first and last options, however, both have 3 as the exponent. Now, we look at the number given in front. 2.5 is less than 7, so we know that the first option is in order from least to greatest.
What would be the degree of financial leverage for Foggy Futures Weather Forecasters if the company has earnings before interest and taxes of $750,000, has a 4. 5% loan on $1,000,000, and is in the 38% tax bracket? The firm does not have any preferred stock outstanding. A. 1. 22 b. 0. 97 c. 1. 06 d. 1. 78
The degree of financial leverage for Foggy Futures Weather Forecasters
is 1.06
Degree of Financial leverage (DFL) = (EBIT) / (EBT)
Earnings Before Interest and Taxes (EBIT) = $750,000
Amount to be given as loan on $1000000
$1,000,000 x 4.5% = $1,000,000 x 4.5/100
= $45000
To find EBT ( Earnings Before Tax),
EBT = EBIT - 45000
= 750000 - 45000
EBT = 705000
∴ DFL = (EBIT) / (EBT)
= 750000/705000
DFL = 1.06
The DFL is a percentage that accountants and financial professionals use to show changes in a company's net income due to changes in its profits before interest and taxes (EBIT).
Earnings before interest and taxes (EBIT) is a measurement of a company's profit in accounting and finance that takes into account all revenues and costs (both operating and non-operating), with the exception of interest costs and income tax costs.ve
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A taxi charges a flat rate of $3.00, plus an additional $0.50 per mile. Carl will only take the taxi home if the cost is under $10, otherwise he will take a bus. Carl is 15 miles from home. Explain how to write and solve an inequality to determine if Carl will take the taxi or a bus.
The inequality to check if Carl will take taxi or Bus to home can be written as 3 + 0.5x < 10 and Carl will take bus instead of taxi.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is a taxi that charges a flat rate of $3.00, plus an additional $0.50 per mile. Carl will only take the taxi home if the cost is under $10, otherwise he will take a bus. Carl is 15 miles from home.
We will estimate the total price it will cost Carl to take taxi. For a [x] miles distance, it will cost Carl -
C(x) = 3 + 0.5x
The inequality to check if Carl will take taxi or Bus to home can be written as -
C(x = 15) < 10
3 + 0.5 x 15 < 10
10.5 < 10
Which is false.
Hence, Carl will take bus instead of Car.
Therefore, the inequality to check if Carl will take taxi or Bus to home can be written as 3 + 0.5x < 10 and Carl will take bus instead of taxi.
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Answer:
Sample Answer
Step-by-step explanation:
Let the variable x be the number of miles. Then the problem can be modeled with the inequality 0.5x + 3 < 10,="" in="" which="">x is the number of miles. To solve, first subtract 3 from each side, then divide each side by 0.5. The solution is x < 14.="" carl="" can="" travel="" less="" than="" 14="" miles,="" but="" he="" lives="" 15="" miles="" away,="" so="" he="" will="" take="" a="" bus,="" not="" the="">
your welcome because all these others answers are wrong
( help me please ) ….
Answer:
The slope is 6/5, ;)))))))
A spinner has 25 congruent sections. There are 12 orange, 4 red, 6 blue, and 3 purple sections on the spinner. Which decimal represents the probability that the first spin will stop on a blue section?
Given:
Total number of congruent sections = 25
Orange sections = 12
Red sections = 4
Blue sections = 6
Purple sections = 3
To find:
The probability that the first spin will stop on a blue section.
Solution:
The probability that the first spin will stop on a blue section is the fraction of number of blue sections and total number of sections.
\(P=\dfrac{\text{Number of blue sections}}{\text{Total number of sections}}\)
\(P=\dfrac{6}{25}\)
\(P=0.24\)
Therefore, the required probability is 0.24.
20 points!!
look at image below.
The required graph is decreasing in -1 <x <0 and 0 < x < 1. Options b and c are correct.
Given that,
A graph of the function is shown it the domain at which the function is decreasing is to be determined.
The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.
Here,
Since in the initial stage, the function is increasing, from -3 < x < -1 after that function starts decreasing from -1 < x < 1 and afterward again increasing,
Thus, The required graph is decreasing in -1 <x <0 and 0 < x < 1. Options b and c are correct.
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Evaluate ƒ(x) = 2x2 for ƒ(3)
Answer:
f(3) = 18
Step-by-step explanation:
In f(x) = 2x² ltet x = 3
f(3) = 2(3)²
f(3) = 2(9)
f(3) = 18
cuantos litros de leche se necesitan para hacer un pastel para 53 personas? Tomando en cuenta que para 25 personas se usan 1.5 litros
Answer:
3.12 litros de leche
Step-by-step explanation:
Mrs Mabaspacked , prudence's mom packed a cooler box bag for the day of the painting . Two six pack cans fit exactly on top of each other in the cooler bag. A can has a diameter of 6 cm and a height of 8,84 cm 0:41 EZ07/67/90 dy the information given in the information above and answer the questions that follow. 2.1 2.2 2.3 2.4 Calculate the volume in ml of one can of cold drink, rounded to the nearest whole number. Determine the height of the cooler bag, rounded to the nearest whole number. Determine the volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm. Each can have a label on them as shown by the image below Piesse Circumference of the can NEW Diet, Soda 0 Calories! Calculate the length of the lable. CALORIES PER SERVING Nutrition Fac Hight of the can (3) (2) (3) (2) 27 [10]
2.1 The volume in ml of one can of cold drink is 83 ml.
2.2 The height of the cooler bag is 18 cm.
2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.
2.4 The circumference of the can is 18.84 cm.
How to calculate the volume of a cylindrical can?In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height or length of a cylinder.r represents the radius of a cylinder.By substituting the given side lengths into the volume of a cylinder formula, we have the following;
Volume of can = 3.14 × (6/2)² × 8.84
Volume of can = 83.27 cm³.
Note: 1 cm³ = 1 ml
Volume of can in ml = 83.27 ≈ 83 ml.
Part 2.2.
For the height of the cooler bag, we have:
Height of cooler bag = 2 × height of can
Height of cooler bag = 2 × 8.84
Height of cooler bag = 17.68 ≈ 18 cm.
Part 2.3
Volume of cooler bag = length × breadth × height
Volume of cooler bag = 18 × 12 × 18
Volume of cooler bag = 3,888 ml.
Part 2.4
The circumference of the can is given by:
Circumference of circle = 2πr
Circumference of can = 2 × 3.14 × 3
Circumference of can = 18.84 cm.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
A multiplication table. In the row labeled 3, the numbers 3, 6, 9, 12, 15, 18, 21, 23, and 27 are highlighted. In the row labeled 7, the numbers 7, 14, 21, 28, 35, 42, 49, 56, and 63 are highlighted.
Here the rows for 3 and 7 are highlighted.
Which ratio is equivalent to 3:7?
9:21
12:30
18:28
21:27
Answer:
9:21
Step-by-step explanation:
Answer:
9:21
Step-by-step explanation:
answer this question about algebra please.
(a) The solution of the given expression is x = 4 or -3.6
(b) Area of triangle is 60 square unit.
The given expression is,
5x² - 2x - 72 = 0
Applying quadrature formula to simplify it;
We know that for ax² + bx + c = 0
⇒ x = [-b ± √(b² - 4ac)]/2a
put the values we get,
⇒ x = [2 ± √(2² + 4x5x72)]/2x5
= 4 or -3.6
Since length is positive quantity therefore,
neglecting -3.6
Hence,
x = 4
Therefore,
For the given triangle,
height = 2x
= 2x4
= 8
Base = 4x - 1
= 4x4 - 1
= 15
Since we know that,
Area of triangle = ( 1/2)x base x height
= 0.5 x 8 x 15
= 60 square unit.
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calculate the expected return for stocks a and b. (do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)b.calculate the standard deviation for stocks a and b.
a) The expected return for stocks a and b is 13.56% and 20.02% respectively.
b) The standard deviation for stocks a and b are 8.32% and 32.60%.
a) Expected return = Probability of recession × Return during recession + Probability of normal × Return during normal + Probability of boom × Return during boom
Expected return for stock A = 0.21 × 0.04 + 0.61 × 0.12 + 0.18 × 0.30
The expected return for stock A = 0.1356
The expected return for stock A = 13.56%
Expected return for stock B = 0.21 × (-0.41) + 0.61 × 0.31 + 0.18 × 0.54
The expected return for stock B = 0.2002
The expected return for stock B = 20.02%
b) Standard deviation of stock = √{Probability(Recession) × (Rate during recession - expected rate )² + Probability(Normal)(Rate during normal - expected return)² + Probability(Boom) × (Rate in boom - Expected return)²}
Standard deviation of stock A = √[(0.21 × (0.04-0.1356)² + 0.61 × (0.12 - 0.1356)² + 0.18 × (0.30-0.1356)²)]
The standard deviation of stock A = 0.0832
The standard deviation of stock A = 8.32
Standard deviation of stock B = √(0.21 × (-0.41-0.2002)² + 0.61(0.31 - 0.2002)² + 0.18 × (0.54-0.2002)²)]
The standard deviation of stock B = 0.3260
The standard deviation of stock B = 32.60%
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Construct a scatterplot and identify the mathematical model that best fits the data. (I point) Assume that the model is to be used only for the scope of the given data and consider only linear, quadratic, logarithmic, exponential, and power models. Use a caleulator or computer to obtain the regression equation of the model that best fits the data. You may need to fit several models and compare the values of R2. x1 2 3 456 y9 13 25 27 31 46 Cy-4.87 + 18.5 In x y-8.34x0.88 , y = 1.07 + 6.89x y- 3.14+6.59x
The equation that best fits the data is, y = -8.34x1^2 + 18.5ln(x1) + 5.34.
To use software for analyzing data and generating a scatterplot, the first step is to input the data into the software. This is typically done by creating a spreadsheet with two columns, one for the independent variable (x) and one for the dependent variable (y). After inputting the data, the software can then generate a scatterplot. Most software packages have built-in functions for creating scatterplots, which can be customized by changing the axis labels, titles, and colors.
Based on the pattern observed on the scatterplot, a mathematical model can be selected to fit the data. Once a model has been chosen, the software can perform regression analysis to calculate the parameters of the chosen model. The output should include the equation of the line, the slope and intercept values, and the coefficient of determination (R2).
To evaluate the goodness of fit, the R2 value can be used. Higher R2 values indicate a better fit between the model and the data. If the R2 value is not satisfactory, the model may need to be refined by trying a different model or modifying the parameters of the chosen model. The overall goal is to find the model that best fits the data for the given scope, which can be achieved by using software tools to perform regression analysis and generate scatterplots.
Using a calculator or computer, we can obtain the regression equations for the various models and calculate their R-squared values:
Linear model: y = -4.87 + 7.55x1, R^2 = 0.3755
Quadratic model: y = -8.34x1^2 + 18.5ln(x1) + 5.34, R^2 = 0.9295
Logarithmic model: y = 1.07 + 6.89ln(x1), R^2 = 0.9041
Exponential model: y = -3.14 + 6.59x1, R^2 = 0.8672
Power model: y = 0.6214x1^1.0969, R^2 = 0.9087
Based on the R-squared values, we can see that the quadratic model has the highest value of 0.9295, indicating that it best fits the data. Therefore, the equation that best fits the data is,
y = -8.34x1^2 + 18.5ln(x1) + 5.34
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PLEASE PLEASE HELP ME ASAP
simplify -2x -2(3x-7) + 4(3x-5) - (4x-9)
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Simplify 6-2x + 5+4x
Answer:
2x + 11
Step-by-step explanation:
We are given
6 - 2x + 5 + 4x
Combining like terms with x, we have
6 + 5 + 2x
Combine like terms again, this time constants
11 + 2x
What is the volume of this prism? All angles are right angles.
the volume of the prism is 3000 cubic meters
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.
Given a prism, to calculate the volume of the given prism we need to slice it into three pieces
From the general formula of the Volume of the cuboid:
volume = height * base * width
For the first piece:(base one)
Volume = 5 * 15 *20
Volume = 1500 cubic meters
For the second piece: (Left one)
Volume = 10 * 5 *20
Volume = 1000 cubic meters
For the third piece:(right one)
Volume = 5* 5*20
Volume = 500
thus,
the final value = 500 +1500 + 1000
Volume = 3000 cubic meters
Therefore, the volume of the prism is 3000 cubic meters
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find thw two numbers ratio if their ratio is 9:11 and their difference if 6
Answer:
11x - 9x = 6
2x = 6
x = 3
The numbers are 9(3) = 27 and 11(3) = 33.
27/33 = 9/11
In the article we read by Ubelaker and colleagues, recovering the human remains from the BranchDavidian Compound was difficult because they were encased in :
Recovering the human remains from the Branch Davidian Compound was difficult because they were encased in , Building materials, Expended and live ammunition and Food storage items , the correct option is (d) .
In the article by Ubelaker and colleagues, the difficulty in recovering human remains from the Branch Davidian Compound was due factors, including being encased in building materials, being exposed to live and expended ammunition, and stored alongside food storage items.
⇒ The building materials, such as concrete and steel, made it challenging to access and remove the remains.
⇒ The use of Expended and live ammunition during the standoff resulted in bullets and shell casings being embedded in the remains, making identification and recovery more complicated.
⇒ The storage of the remains in areas also used for food storage further complicated the situation, as it increased the risk of contamination and made it more difficult to differentiate between human and non-human remains.
Therefore , the correct option is (d) All of the options.
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The given question is incomplete , the complete question is
In the article we read by Ubelaker and colleagues, recovering the human remains from the Branch Davidian Compound was difficult because they were encased in :
(a) Building materials
(b) Expended and live ammunition
(c) Food storage items
(d) All of the options
slope = -2,through (3,-5)
Answer:
y=-2x+1
Step-by-step explanation:
y=-2x+b
-5=-6+b
b=1
y=-2x+1
Answer:
The other pair of points are (4, 3) I think...
help me pls i give brainliest
Answer:
Decreased I think because they bumped into the other person
Step-by-step explanation:
Answer:
increased
i just heard my brother say it because he's in highschool. TwT
Rotate the following point (- 5, 7) with a 90 degree CCW rotation
Given:
The point is (-5,7).
To find:
The image of the given point after 90 degrees counter clockwise rotation.
Solution:
If a point rotated 90 degrees counter clockwise, then
\((x,y)\to (-y,x)\)
Let the given point is P(-5,7). Using the above rule, we get
\(P(-5,7)\to P'(-7,-5)\)
Therefore, the image of the given point after 90 degrees counter clockwise rotation is (-7,-5).
Find the dependent value
for the graph
y = 20 - 2x
when the independent value is 5.
y = [?]
Answer:
To find the dependent value for the graph y = 20 - 2x when the independent value is 5, we substitute x = 5 into the equation and solve for y.
y = 20 - 2x
y = 20 - 2(5)
y = 20 - 10
y = 10
Therefore, when x = 5, the dependent value y is 10.
Answer:
To find the dependent value (y) for the given graph y = 20 - 2x when the independent value (x) is 5, we substitute x = 5 into the equation and solve for y.
y = 20 - 2x
Substituting x = 5:
y = 20 - 2(5)
y = 20 - 10
y = 10
So, when x = 5, the dependent value (y) is 10.
What is the sign of the third term of the expansion of (x - y)n for n = 3, 4, and 5?
Cⁿ₁ is always positive, then the second term has negative sign.
What does binomial expansion mean?
Theorem that states that any power of a binomial (a + b) can be expanded as a specific sum of products (aibj), such as (a + b)2 = a2 + 2ab + b2.
The i-th term of the binomial expansion \((x- y)^{n}\)
Ti = nCi - 1 . (x)ⁿ+¹⁺i . (-y)i - 1
For any n, when i=2,
T₂ = nC₂₋₁ . xⁿ⁺¹⁻² . (-y)²⁻¹ = -Cⁿ₁ xⁿ⁻¹ . y
Given that is consistently positive, the second term has a negative sign.
Cn1 is consistently positive, and the second term is always negative.
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HOW DO U COMBINE LIKE TERMS in math?? DO NOT LOOK IT UP :) THX
Answer:
See below
Step-by-step explanation:
"Like terms" are terms with the same variable or exponents.
You can add or subtract these just like you would with regular numbers.
Examples:
2x + 4x = 6x
5xy + 7xy = 12xy
6\(x^{2}\) + 5\(x^{2}\) = 11\(x^{2}\)
Let me know if you need more examples or have any questions :)