True or false? To begin an indirect proof, you assume the converse of what you intend to prove is true.
A. True
B. False
Answer:
The statement is false.
Step-by-step explanation:
To begin an indirect proof, you assume the converse of what you intend to prove is true. This is false.
Rather the correct answer is that to begin an indirect proof, you assume the inverse of what you intend to prove is true.
The converse can be either true or false, depending on what the original statement is, so assuming the converse is pointless.
The spelling contest awards four prizes Tim,Sam,Jen, and Kate all made it to the final round. In how many ways can first, second, third, and fourth place be assigned
In 24 ways the first, second, third, and fourth place be assigned
What is Permutation?A permutation is an arrangement of objects in a definite order. .
Given that, for a spelling contest awards four prizes Tim, Sam, Jen, and Kate all made it to the final round.
We need to find in how many ways can first, second, third, and fourth place be assigned.
This can be arranged in 4! ways.
4!=4×3×2×1
4!=24
Hence in 24 ways the first, second, third, and fourth place be assigned.
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100/225 square feet of your bakery will be used as your storefront, where customers come to visit. the rest will be for storage and baking. In simplest form, what fraction of the space will be for storage and baking?
Someone's work
(225-110)/225
125/225
5/9
how did you get (225-110)? if it's 100/225
Answer: 5/9 will be the fraction of the space will be for storage and baking.
Step-by-step explanation:
Since area of bakery will be used as our storefront, where customers come to visit= 100/225
Thus, the total area of bakery = 225
And, the area will be used our storefront, where customers come to visit= 100
So, the remaining area which is used for storage and baking = 225 - 100 =125
So the part of area which is used for storage and baking= the remaining area which is used for storage and baking/ total area
=125/225= 5/9
which is the simplest form.
can someone please simplify 81^5 = 3^x
Answer:
20
Step-by-step explanation:
:D
The value of the x is 20.
We have given that,
[tex]81^5 = 3^x[/tex]
We have to determine the value of x.
3^4 = 81
What is the exponent?Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b, and the exponent or power n, and pronounced as b raised to the power of n.
exponent 4 x 5 = 20
so, 3^20 = 81^5
Therefore the value of the x is 20.
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Please help me with these questions thank you.
Answer:
CPCTC; JP≅MI; SAS
Step-by-step explanation:
For the first question, we use the congruence statement. When we are using the congruence statement to match corresponding pieces, the justification is that Congruent Parts of Congruent Triangles are Congruent, or CPCTC.
For the second question, we again use CPCTC and the congruence statement. P matches T and B matches I, so PB = TI and B = I. J matches M also, so BJP = IMT. However, P does not match I, so JP does not equal MI.
For the third question, we have two sides (AM matching ZD and BD matching itself) and an included angle (AMD and ZDM). This is Side-Angle-Side, or SAS.
You earned $23.10. You would like to buy some new T-shirts. Estimate the number of T-shirts you can buy if each one costs $5.75.
The length of a rectangle is 5 in. more than 3 times its width. the area of the rectangle is 50in.2. a quadratic function represents the dimensions of the rectangle. what is the domain of the function?
In modified boxplots, a data value is a(n) _______ if it is above q3plus+(1.5)(iqr) or below q1minus−(1.5)(iqr).
In modified boxplots, a data value is a potential outlier if it is outside the range of Q3 + (1.5)(IQR) or Q1 - (1.5)(IQR). The IQR is the spread of the middle 50% of the data, calculated as Q3 - Q1.
Explanation:In modified boxplots, a data value is a potential outlier if it is above Q3 + (1.5)(IQR) or below Q1 - (1.5)(IQR). The interquartile range (IQR) is crucial in this determination, representing the spread of the middle 50 percent of the data. It is found by subtracting the first quartile (Q1) from the third quartile (Q3). For example, if Q1 is 2 and Q3 is 9, the IQR is 7. Any data value greater than 9 + (1.5)(7) or less than 2 - (1.5)(7) would be considered a potential outlier.
Constructing a box plot involves identifying these five key values: minimum value, first quartile, median, third quartile, and maximum value. The box plot visually represents the data's spread, with whiskers extending to the most extreme values within the acceptable range, and separate marks for potential outliers.
When making bread from scratch, the recipe calls for 2/4 cup of water. If you need to make a smaller portion of the recipe, how much water would you need in order to make only 1/6 of the recipe? Give your answer as a fraction, reduced to lowest terms
You would need 1/12 cups of water in order to make only 1/6 of the recipe
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
What are Arithmetic operations?Arithmetic operations can also be specified by addition, subtraction, dividing, and multiplying built-in functions.
When making bread from scratch, the recipe calls for 2/4 cup of water. If you need to make a smaller portion of the recipe,
If a recipe requires 2/4 cup of water, then a fraction of the recipe requires 1/6 cup of water.
So the fraction of the recipe requires 1/6 cup of water as
⇒ 1/6×2/4
⇒ 2/24
⇒ 1/12
Hence, you would need 1/12 cups of water in order to make only 1/6 of the recipe.
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If the volumes of two similar rectangular prisms are 40mm and 135mm find the scale factor of the two rectangular prisms.
(The answers are in fraction form)
A. 1/4
B. 8/27
C. 3/5
D. 2/3
The scale factor of the two rectangular prisms is 3/2 of the given problem the volumes of two similar rectangular prisms are 40 mm and 135 mm
To find the scale factor between two similar rectangular prisms, we can compare their volumes. The scale factor is the ratio of the cube root of the volumes.
Let's denote the volume of the first rectangular prism as V1 and the volume of the second rectangular prism as V2.
[tex]V1 = 40 mm^3\\V2 = 135 mm^3[/tex]
The scale factor (SF) can be calculated as follows:
[tex]SF = (V2)^{(1/3)} / (V1)^{(1/3)[/tex]
Plugging in the given values:
[tex]SF = (135)^{(1/3)} / (40)^{(1/3)[/tex]
To simplify the calculation, we can rewrite the values as prime factorization:
[tex]135 = 3^3 * 5\\40 = 2^3 * 5[/tex]
Now, let's calculate the cube roots:
[tex]SF = (3^3 * 5)^{(1/3) }/ (2^3 * 5)^{(1/3)}[/tex]
Using the property of exponents [tex](a^{(m/n) }= (a^m}^{(1/n)})[/tex]:
[tex]SF = (3^{(3/3)} * 5^{(1/3)}) / (2^{(3/3)} * 5^{(1/3)})[/tex]
Simplifying the fractions:
[tex]SF = 3 * 5^{(1/3)} / 2 * 5^{(1/3)[/tex]
The [tex]5^{(1/3)}[/tex] terms cancel out:
SF = 3/2
Therefore, the scale factor of the two rectangular prisms is 3/2 of the given problem the volumes of two similar rectangular prisms are 40 mm and 135 mm.
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Wilma and Betty are playing a number game. Wilma tells Betty, "I'm thinking of a number between 1 and 10. If I take the number and add 4 to it and then multiply that by 3, I get 30." What number is Wilma thinking of?
To find the number Wilma is thinking of, we create an equation and solve for x.
Explanation:To solve this problem, we need to create an equation based on the information given. Let's suppose the number Wilma is thinking of is x. According to the problem, if we add 4 to x and then multiply that result by 3, we get 30. We can write this as the equation 3(x + 4) = 30. To find the value of x, we need to isolate it. First, distribute the 3 to both terms inside the parentheses: 3x + 12 = 30. Next, isolate x by subtracting 12 from both sides of the equation: 3x = 18. Finally, solve for x by dividing both sides of the equation by 3: x = 6. Therefore, Wilma is thinking of the number 6.
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If you drive at 100km/hr for 6 hours, how far will you go
The distance covered by the vehicle in 6 hours will be 600 km.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
If you drive at 100km/hr for 6 hours.
Then the distance covered by the vehicle in 6 hours will be given as,
100 = Distance / 6
Distance = 100 x 6
Distance = 600 km
The distance covered by the vehicle in 6 hours will be 600 km.
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Assume ABC DEF. If AB = 12, BC = 15, and AC = 17, what is the length of EF? A. 15 B. 17 C. Cannot be determined D. 10
Answer:
Option A) EF = 15 units.
Step-by-step explanation:
We are given the following information in the question:
ΔABC ≅ ΔDEF
AB = 12, BC = 15, and AC = 17
If two triangles are congruent then they have the following properties:
AB = DE
BC = EF
AC = DF
[tex]\angle A = \angle D \\\angle B = \angle E \\\angle C = \angle F[/tex]
Hence, by congruency:
BC = EF
EF = 15 units.
Thus, option A is the correct answer.
A board is 4.6 feet long. How many meters long is the board?
Solve each system by substitution
y=-4x + 5
y= -2x + 1
Austin is watching a football game. His team loses 9 yards and then gains 5 yards. He doesn’t watch the next play, but afterwards he sees that his team now has a total loss of 1 yard. How many yards did the team gain or lose on the play Austin missed? Show your work.
Lorrae swims at a constant speed, s, for 2 hours. Create a formula for the distance she swims, d.
The formula for the distance Lorrae swims at a constant speed for 2 hours is d = 2s, where d is distance and s is her speed.
Explanation:The question is asking for a formula to calculate the distance that Lorrae swims. Since distance (d) is equal to speed (s) multiplied by time (t), and we know that Lorrae swims at a constant speed, s, for 2 hours, a formula for her distance would be d = s * t.
In this case, the time, t, is 2 hours. So, we can substitute t with 2 in our formula. Hence, the formula for the distance Lorrae swims is d = s * 2 or d = 2s. This is the equation you can use to compute the distance Lorrae swims for any given speed at a constant period of 2 hours.
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a large bottle of dragon mouth was is 5.00 before tax and 5.30 after tax. What is the percentage of tax
The posted speed limit is 55 MPH. If you’re driving 1000 feet per minute, are you going too fast?
Suppose p = log n ( g ) p=logn(g). define an exponential relationship between p , n , p,n, and g g.
8. Divide (18x^3+12x^2-3x) divided by 6x^2
9. Divide (2x^3-x^2-24x+12) divided by (2x-1)
Through: (-4,4), perp. To y=4/5x-1
Why is x = 4 a solution to the proportion 14/x = 56/16
[tex]\large\text{Hey there!}[/tex]
[tex]\large\text{Step 1: You have to \underline{\bf{CROSS MULTIPLY}}}[/tex]
[tex]\mathsf{\dfrac{14}{x}=\dfrac{56}{16}}\\\\\mathsf{14\times16=56\times x}\\\\\mathsf{14(16)= \ \bf{\underline{224}}}\\\\\mathsf{56(x)=\underline{\bf{56x}}}[/tex]
[tex]\huge\text{We get: \bf{\underline{224 = 56x}}}[/tex]
[tex]\large\text{Step 2: }\large\text{\bf{\underline{FLIP}}}\large\text{ the new equation around}[/tex]
[tex]\huge\text{\bf{\underline{56x = 224}}}[/tex]
[tex]\large\text{Step 3: \bf{\underline{DIVIDE}}}\large\text{ both of your sides by 56}[/tex]
[tex]\mathsf{\dfrac{56x}{56}=\dfrac{224}{56}}\\\\\mathsf{Cancel\ out: \dfrac{56x}{56}\ because\ that\ gives\ us\ 1}\\\\\mathsf{Keep: \dfrac{224}{56}\ because\ it\ gives you\ the\ value\ of\ x }\\\\\mathsf{\dfrac{224}{56}=4}\\\\\mathsf{x=4}[/tex]
[tex]\boxed{\large\text{So, the reason why x = 4 for this equation is because } \mathsf{\dfrac{14}{4}}\ \& \ \dfrac{56}{16}\ \large\text{ are equal to each}}\\\boxed{\large\text{other. }}[/tex]
[tex]\mathsf{\dfrac{14}{4} = 3.5}[/tex]
[tex]\mathsf{\dfrac{56}{16} = 3.5}[/tex]
[tex]\huge\text{\bf{3.5 = 3.5}} \ \checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dag\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Is 0.33 bigger than 20/60?
How to I work out the answer?
If one side of a square notebook measures 20 cm, what is the area of the front cover of the notebook?
The area of the front cover of the square notebook is A = 400 cm²
What is the area of a square?A square is a four sided quadrilateral with all of the side having equal lengths. The total internal angle of a square is 360° with each side perpendicular to each other.
A square is a 4 sided polygon where all the sides are of equal length.
The area of the square is the square of any one of its side
Let a be the side of the square
Area of the square = a²
Given data ,
Let the area of the square be represented as A
Now , the side length of the notebook a = 20 cm
And , the area of the front cover of the notebook = area of square
On simplifying , we get
The area of front cover A = a²
The area of the front cover of the notebook A = 20 x 20
The area of the front cover of the notebook A = 400 cm²
Hence , the area of the square notebook is 400 cm²
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Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like terms?
y = 3x
2x + 3y = 55
A. 11x = 55
B. 5x = 55
C. 9x = 55
D. 5y = 55
Answer: A(11x=55)
Step-by-step explanation:
in the equation 2x + 3y = 55, subsitute 3y for 3x, because y = 3x. this will result in the equation 2x + 3(3x) which equals 11x. so 11x=55
What is (0.3 x 2.8)2
PLEASE HELP! 10 POINTS!
Which algebraic expression represents the phrase below?
The quotient of the opposite of a number squared and three
*choices below*
Choose the correct answers for interest in dollars and the proceeds for the following problem. Sam Sounds received a $320 discount loan to purchase a stereo. The loan was offered at 16% for 90 days. Find the interest in dollars and the proceeds for the following problem.
The Interest is $12.595 while the value of the Proceeds is $307.405
How to find the interest and proceeds?The amount of loan; A = $320
The discount rate = 16%=0.16
Time = 90 days = 90/365 year = 0.246 year
The formula of interest is;
Interest = Amount × Discount rate × Time
Thus;
Interest = 320 × 0.16 × 0.246
Interest = $12.595
Proceed = Amount - Interest
Proceed = $320 - $12.595
Proceeds = $307.405
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Answer:
12.80
307.20
Step-by-step explanation: