Answer:
35
Step-by-step explanation:
The range is found by taking the largest number and subtracting the smallest number
The largest number is 38
The smallest number is 3
38-3 = 35
If _A = 28°, what must the measure of D be in order for A ABC to be similar
to A DEF?
A. 14
B. 28
C. 31
D. 62°
Answer:
62°
Step-by-step explanation:
If it is a right triangle, subtract 90, from 180 and then subtract 28 to get D. D should = 62°
D must be equal to 28° in order for triangle ABC to be similar to triangle DEF.
The correct answer is option B.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
We know that if two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.
Since angle A is congruent to angle D, we need to find the value of D that makes this true.
Therefore,
D must be equal to 28° in order for triangle ABC to be similar to triangle DEF.
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Please help me!
If you wanted to find the difference of 6/25 - 4/5, what common denominator should you choose? Why?
Answer:
Choose 1/25 as the common denominator
Step-by-step explanation:
1/25 is the lowest number that both existing denominators can be factored into.
6/25 would remain the same.... 6/25
4/5 would become 20/25..... multiply the top and bottom by 5
So 6/25 - 20/25 = - 14/25
In many applications it is necessary to write expressions in the form cxn where c is a constant and n is an integer. Write the following expression in this form.
5/2x6
The exponential expression in the format cx^n is given as follows:
2.5x^(-6).
How to rewrite the expression?The expression for this problem is defined as follows:
5/(2x^6).
The desired format is given as follows:
cx^n.
For the parameter c, we must simply divide the numeric coefficients of the numerator and the denominator, hence:
5/2 = 2.5.
For the parameter n, we have the positive exponent in the denominator, hence it can be written as a negative exponent in the numerator, that is:
n = -6.
Hence the expression is given as follows:
2.5n^(-6).
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y-1=-1/2 (x-2) graph point and slope
Answer:
The slope of the line \(m = -\frac{1}{2}\)
The point ( x₁ ,y₁) = ( 2,1)
Step-by-step explanation:
Explanation:-
Given that the line
\(y -1 = -\frac{1}{2} ( x-2)\)
Comparing y- y₁ = m(x-x₁)
The slope of the line \(m = -\frac{1}{2}\)
The point ( x₁ ,y₁) = ( 2,1)
The equation of the straight line
\(y -1 = -\frac{1}{2} ( x-2)\)
2(y-1) = -(x-2)
2y -2 = -x +2
x + 2y -2-2=0
x +2y -4=0
Final answer:-
The equation of the straight line x+ 2y-4=0
The slope of the line \(m = -\frac{1}{2}\)
The point ( x₁ ,y₁) = ( 2,1)
Number 28!!!!!!!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
Z doesn't have to be positive... it can be negative as well. It can also equal 0 and 1, so that leaves D... there are no restrictions.
If you have $20 and spend $12 on food, what fraction of your money do you still have?
Answer:
2/5
Step-by-step explanation:
please mark brainliest
Answer:
The fraction of the money that would be left would be 2/5. Hope this helps. :D
Step-by-step explanation:
The mug is 5/8 full, the mug contains 3/4 of water find the capacity of the mug
The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).
What is capacity?It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.
In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.
Let the capacity of the mug be x.
Given,
Mug is 5/8 full and contains 3/4 of water
So, 5/8 of the mug is filled with water
Therefore,
5/8 of x = 3/4
(5/8 )x = (3/4)
x = (3/4) × (8/5)
x = (24/20)
x = 1.2
Therefore, the capacity of the mug is 1.2.
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The price of a new slide in stove is $794. Pedro makes a 10% down payment for a
two-year installment purchase. The monthly payment is $34.25 dollars. What is his
down payment?
Answer:
$79.4
Step-by-step explanation:
Given that :
Price of stove =$794
Down payment = 10% =
Time = 2 years = 24 months
Monthly payment = $34.25
Down payment = 10% of 794
Down payment = 0.1 * $794
Down payment = $79.4
Hence, down-payment = $79. 4
solve 5x + 2 = 3x + 4(2x - 1)
Answer: x=4
Step-by-step explanation:
5x+2=3x+4(2x-1)
5x+2=3x+6x-4
-2 -2
5x=3x+6x-2
-3x -3x
2x=6x-2
+6x +6x
8x=2
Divide
X=4
2x| if X is less than 0
I NEED HELP EVERYONE THIS IS DUE
Answer:
-2x
Step-by-step explanation:
1. Flip it around and then it turns Negative
2. The answer will be -2x!
Happy Card Co. designs personalized cards which cost $1.10 per card. The fixed cost to make the cards is $264 per day. If the company charges $5.10 per card, how many cards must be delivered daily to make a profit of $52? Show work below.
Step-by-step explanation:
x = number of cards
the production costs (PC) per day are
PC(x) = 264 + 1.1x
the sales (S) are
S(x) = 5.1x
the profit (P) per day is sales minus costs
P(x) = S(x) - PC(x) = 5.1x - (264 + 1.1x) =
= 5.1x - 264 - 1.1x = 4x - 264
we need to find the value of x, so that P(x) = 52.
52 = 4x - 264
316 = 4x
x = 316/4 = 79
79 cards must be delivered daily to make a profit of $52.
Which is more, 6 liters or 6,001 milliliters?
Answer: 6,001 milliliters
Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.
Answer:
I believe 6 liters is more.
What is x-²y (x³y5)³ in simplest form for all values of x and y where the expression is defined?
Move the correct answer to each box. Each answer may be used more than once. Not all answers will be used
-18-12 4
X
7
8
9 15 16
Step-by-step explanation:
To simplify the expression x^-2y(x^3y^5)^3, we need to perform the operations inside the parentheses first, using the exponent rule that (a^m)^n = a^(mn):
x^-2y(x^3y^5)^3 = x^-2y(x^(33)y^(53)) = x^-2y(x^9y^15)
Next, we can simplify the expression by multiplying the coefficients (numbers) and adding the exponents of x and y, using the product rule that x^mx^n = x^(m+n) and (xy)^m = x^my^m:
x^-2y(x^9y^15) = (1y/x^2)(x^9*y^15) = y^(15+1)x^(9-2) = y^16x^7
Therefore, the simplified form of x^-2y(x^3y^5)^3 is y^16*x^7.
Note that this expression is defined for all values of x and y except for x=0.
A grocery store introduced two new flavors of scones: cranberry and orange.
On the first day, 28 cranberry scones and 16 orange scones were sold.
Each day after that, 14 cranberry scones and 11 orange scones were sold.
Drag the tiles to complete the table. Each tile may be used once, more than once, or not at all.
Step-by-step explanation:
For the Cranberry Scones you all add 14 with it so 14+28=42 42+14=56 56+14=70 70+14=84. So, the answers on Cranberry scones are
28 42 56 70 84
Orange scones you add 11 to all of them so 11+16=27 27+11=38 38+11=49 49+11=60.So the answer on Orange Scones is
16 27 38 49 60
Santos Company provided the following information for 2022:
Common Stock Outstanding 100,000 shares
Convertible Preferred, Total Par Value $50,000; Dividend Rate 4%; Convertible into 1,900 Common Shares Dividend Declared & Paid
Stock Options – A Exercise Price $12; Average Market Price $11; 3,000 Options
Stock Options – B Exercise Price $7; Average Market Price $8; 4,000 Options
Convertible Bonds, 5%, Face Value $1,000,000; Convertible into 40,000 Common Shares
Tax Rate 30%
Net Income $120,000
Round to nearest two decimal places.
Part A: Complete all steps to determine EPS to be reported including:
1. Computation of Basic EPS
2. Individual dilution/anti-dilution with decision making
3. Ranking of potential dilutors
4. Step-by-step inclusion of individual dilutors to arrive at reportable EPS with decision making.
Part B: Partial Financial Statement Presentation of EPS for this company for the current year (2022) with a proper heading. Start your partial statement with Net Income.
Reminder: You must show all supporting computations
Answer:
Part A:
1. Computation of Basic EPS
Basic EPS = (Net Income - Preferred Dividends) / Weighted Average Shares Outstanding²
Net Income = $120,000
Preferred Dividends = 4% x $50,000 = $2,000
Weighted Average Shares Outstanding = 100,000 (assuming no change in common stock during the year)
Basic EPS = ($120,000 - $2,000) / 100,000
Basic EPS = $1.18
2. Individual dilution/anti-dilution with decision making
We need to check if any of the convertible securities or stock options are dilutive or anti-dilutive by comparing their impact on EPS with the basic EPS.
Convertible Preferred: Each preferred share can be converted into 1.9 common shares (1,900 / 1,000). The conversion would increase the common shares outstanding by 1,900 and decrease the preferred dividends by $2,000.
EPS after conversion = ($120,000 - $0) / (100,000 + 1,900)
EPS after conversion = $1.16
Since this is lower than the basic EPS of $1.18, the convertible preferred is dilutive and should be included in the diluted EPS calculation.
Stock Options - A: Each option can be exercised at $12 to buy one common share when the average market price is $11. This means that the options are out of the money and would not be exercised by the holders. Therefore, they have no impact on EPS and are anti-dilutive.
Stock Options - B: Each option can be exercised at $7 to buy one common share when the average market price is $8. This means that the options are in the money and would be exercised by the holders. The exercise would increase the common shares outstanding by 4,000 and generate cash proceeds of $28,000 ($7 x 4,000). The cash proceeds can be used to buy back some common shares at the market price of $8. The number of shares bought back is 3,500 ($28,000 / $8). The net increase in common shares outstanding is 500 (4,000 - 3,500).
EPS after exercise = ($120,000 - $2,000) / (100,000 + 500)
EPS after exercise = $1.17
Since this is lower than the basic EPS of $1.18, the stock options - B are dilutive and should be included in the diluted EPS calculation.
Convertible Bonds: Each bond can be converted into 40 common shares (40,000 / 1,000). The conversion would increase the common shares outstanding by 40,000 and decrease the interest expense by $50,000 ($1,000,000 x 5%). The interest expense is net of tax, so we need to multiply it by (1 - tax rate) to get the after-tax amount. The tax rate is 30%.
EPS after conversion = ($120,000 - $2,000 + $50,000 x (1 - 0.3)) / (100,000 + 40,000)
EPS after conversion = $1.19
Since this is higher than the basic EPS of $1.18, the convertible bonds are anti-dilutive and should be excluded from the diluted EPS calculation.
3. Ranking of potential dilutors
We need to rank the potential dilutors from the most dilutive to the least dilutive based on their impact on EPS.
The most dilutive security is the convertible preferred with an EPS of $1.16.
The second most dilutive security is the stock options - B with an EPS of $1.17.
The least dilutive security is the convertible bonds with an EPS of $1.19.
4. Step-by-step inclusion of individual dilutors to arrive at reportable EPS with decision making.
We need to include the potential dilutors in order of their dilution until we reach a point where the next security would be anti-dilutive.
The first security to include is the convertible preferred.
EPS with convertible preferred = ($120,000 - $0) / (100,000 + 1,900)
EPS with convertible preferred = $1.16
The next security to include is the stock options - B.
EPS with stock options - B = ($120,000 - $0) / (100,000 + 1,900 + 500)
EPS with stock options
please help
Find the volume of each prism. Round to the nearest tenth if nessary
11. What is the unknown number in
Sequence 2 in the chart?
Sequence Number
Sequence 1
Sequence 2
A 126
B 127
c 147
D 154
2 3 5
7
14 21 35 49
?
1
7
21 42 63 105
The missing number in Sequence 2 is 780.
To find the missing number in Sequence 2, let's analyze the pattern:
In Sequence 1, the numbers increase by 1 each time: 126, 127, 128, 129, ...
In Sequence 2, the numbers seem to follow a pattern where each number is obtained by multiplying the corresponding number in Sequence 1 by a certain factor:
2 x 126 = 252
3 x 127 = 381
4 x 128 = 512
5 x 129 = 645
...
Looking at this pattern, we can see that the missing number in Sequence 2 should be:
6 x 130 = 780
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find the product in lowest terms 24/18x2/17x34/3
Answer:
Step-by-step explanation:
To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:
(24/18) * (2/17) * (34/3)
First, we can simplify the fractions by reducing any common factors in the numerators and denominators:
24/18 = (212)/(29) = 12/9 = 4/3
2/17 = 2/17
34/3 = (2*17)/3 = 34/3
Now we can multiply the simplified fractions:
(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153
The product of the given fractions in lowest terms is 272/153.
1. If AACB AEDF, what is the measure of ZEFD.
Answer:
Step-by-step explanation:
110
surface area of a cylinder 1m radius and 5m side
Answer:
37.7 m
Step-by-step explanation:
Use this formula:
A=2πrh+2π\(r^{2}\)
Answer: A=12pi
Step-by-step explanation:
A= 2*pi*R*H + 2*pi*R^2
A=2*pi*1*5 + 2*pi*1^2
A=10pi + 2pi
A=12pi
Log 1/5 m= -2 in exponential form
For the given logarithmic function, the exponential form is m = 25.
What is exponential function?
An exponential function is a mathematical function of the form f(x) = \(a^x\), where "a" is a positive constant (called the base of the exponential function) and "x" is the independent variable.
What is log?
In mathematics, a logarithm is an exponent that indicates how many times a certain number, called the base, must be multiplied by itself to produce a given value.
According to given information:The exponential form of log 1/5 m = -2 is:
m = \((1/5)^{(-2)\)
Simplifying:
m = \(5^2\)
m = 25
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what are the elements found in both a narrative and a story
The theme is the underlying message, lesson, or central idea conveyed by the narrative or story.
Both a narrative and a story share several common elements that contribute to their structure and presentation. These elements include characters, setting, plot, conflict, and theme.
Characters are essential components of both narratives and stories. They are the individuals or entities that drive the events and experiences within the narrative or story. The setting is the time and place in which the events occur and provide the context for the story.
The plot refers to the sequence of events that unfold and create a structure for the narrative or story. Conflict represents the central problem or challenge faced by the characters and is often a driving force behind the plot's progression.
These shared elements create a framework for both narratives and stories, enabling the development and communication of experiences, ideas, and emotions to the audience. They contribute to the engagement, coherence, and impact of the narrative or story, regardless of the medium or genre in which they are presented.
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The brain volumes (cm3) of 20 brains have a mean of 1162.5 cm3 and a standard deviation of 126.7 cm3. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of 1405.9 cm3 be significantly high?
Answer:
No, the brain volume of 1405.9cm³ would not be significantly high.
Step-by-step explanation:
We would use the Empirical rule to determine the answer for this question.
The empirical rule - formula states that:
a) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ
b) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ
The question asks us to use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high.
The range rule of thumb tells us that the range is four times the standard deviation. So we say that the usual values will be 2 standard deviations away from the mean of the data distribution.that the values are usually within 2 standard deviations from the mean.
Hence, μ = mean =1162.5 cm³
σ = Standard deviation = 126.7 cm³
μ – 2σ
1162.5 cm³ - 2(126.7 cm³)
= 1162.5 cm³ - 253.4 cm³
= 909.1cm³
μ + 2σ
1162.5 cm³ + 2(126.7 cm³)
= 1162.5 cm³ + 253.4 cm³
= 1415.9cm³
From the calculation above, we can see that for such data, 1405.9 cm³ is within the lower limits of 909.1 cm³ and the higher limits of 1415.9 cm³. Therefore the brain volume of 1405.9 cm³ would not be significantly high.
In the making of ball bearings, diameters vary from one bearing to the next because of minor variations in the
manufacturing process. The diameter of the ball bearings varies according to a distribution that is approximately Normal
with mean 11.5 mm and standard deviation 0.05 mm. Two ball bearings are randomly selected. Find the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm.
On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
he diameter of the ball bearings varies according to a distribution that is approximately Normal
mean 11.5 mm and standard deviation 0.05 mm
the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm
Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%
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Determine the equation (picture).
The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
How to find equation of a line?The equation of a line can be describe as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, lines that a perpendicular follows the rule below:
m₁m₂ = -1
Hence,
y + 6 = 3 / 4 (x - 2)
y + 6 = 3 / 4 x - 6 / 4
y = 3 / 4 x - 6 / 4 - 6
y = 3 / 4 x - 30 / 4
y = 3 / 4 x - 15 / 2
Hence,
3 / 4 m₂ = -1
m₂ = - 4 / 3
Therefore,
slope of the line is - 4 / 3
Let's find the y-intercept of the second line
4x + 5y -20 = 0
5y = -4x + 20
y = -4 / 5 x + 4
y-intercept = 4
Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
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The temperature outside changed from 66°F to 42°F over a period of eight days. If the temperature changed by the same amount each day, what was the daily temperature change?
What is the volume of the rectangular prism?
Type the answer in the boxes below.
Answer:
3.75 cubic centimeters
Step-by-step explanation:
1.5*2.5*1 cubic centimeters
Answer:
3/20
Step-by-step explanation:
1/2 x 3/5 x 1/2
L x W x H is the formula
Length x Width x Height
count the squares, they're each 1/2 so multiply the number of squares with 1/2.
For example, the rectangular prism is 3 squares high, which means it's 3/6, and that simplifies to 1/2. Now you have your height. You do the same for the width and length.
Hope this helps <3
Which system of linear inequalities is represented by the
graph?
+ 3 and 3x - y> 2
O y2x+3
Oy23x+3 and 3x –y> 2
O yzx-
Oy2x+3 and 2x-y> 2
(+ 3 and 3x + y > 2
-2
Answer:
first choice: y≥1/3 x+3 and 3x-y>2
Step-by-step explanation:
The system of linear inequalities is: \(y \ge \frac{1}{3}x + 3\) and \(3x -y > 2\)
The orange lineThe equation of the orange line is calculated using:
\(y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1\)
This gives
\(y = \frac{3- 4}{0-3} \times (x -3) + 4\)
\(y = \frac{- 1}{-3} \times (x -3) + 4\)
\(y = \frac{1}{3} \times (x -3) + 4\)
Open the bracket
\(y = \frac{1}{3}x -1 + 4\)
\(y = \frac{1}{3}x + 3\)
The inequality has a thick line, and the upper region is shaded.
So, the inequality is:
\(y \ge \frac{1}{3}x + 3\)
The gray lineThe equation of the gray line is calculated using:
\(y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1\)
This gives
\(y = \frac{4- 1}{2-1} \times (x -1) + 1\)
\(y = \frac{3}{1} \times (x -1) + 1\)
\(y = 3 \times (x -1) + 1\)
Open the bracket
\(y = 3x -3 + 1\)
\(y = 3x -2\)
The inequality has a dotted line, and the right region is shaded.
So, the inequality is:
\(y < 3x -2\)
Rewrite as:
\(3x -2 > y\)
So, we have:
\(3x -y > 2\)
Hence, the system of linear inequalities is:
\(y \ge \frac{1}{3}x + 3\) and \(3x -y > 2\)
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Math help guys please
Answer:
- 4 / 9
Step-by-step explanation:
..........................
A developer wants to purchase a plot of land to build a house. The area of the plot can be described by the following expression: (5x+1)(7x−7) where x is measured in meters. Multiply the binomials to find the area of the plot in standard form
Answer:
35x^2 - 28x - 7
Step-by-step explanation: