It's the third answer. This is because since there is no middle term where both variables are combined, that would lead to the signs of the 2 factors to be different. However, that still leaves 2 answers, 3 and 2. If we were to square i, you would get -1. This is because √-1 is equal to i. i^2 would be -1. Since the sign in the unfactored expression is positive and not negative, that would mean that the i in the factoring turned it around. that leads us to believe that answer 3 is the correct answer.
How many times do you have to multiply 4 to get to 56?
6-^3
------
6-^4
A) 6-7
B) 6-1
C) 61
D) 612
Answer:
[tex]6^1[/tex]
Step-by-step explanation:
[tex]Use\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{6^{-3}}{6^{-4}}=6^{-3-(-4)}=6^{-3+4}=6^1[/tex]
Volunteers were 3/4 finished with the walk-a-thon when they reached 4 1/2 kilometer mark how long was the walk-a-thon in kilometers
It would be 6 km because 4 1/2 divided by 3 = 1.5x4=6
Which values of P and Q result in an equation with no solutions? Qx+P=33x+25
Answer:
Step-by-step explanation:
Hat is the greatest common factor of 20 and 36? 2 4 5 6
He repartido mi colección de canicas entre mis tres amigos. A tales le he dado 1/5 del total, a arquímedes 1/3 del resto, y por último, a pitágoras, le he regalado 16 canicas que me quedaban
You originally had 30 canicas in your collection.
Let's denote the total number of canicas in your collection as C
According to the information provided:
1. Tales received 1/5 of the total:
Tales received [tex]\( \frac{1}{5} \)[/tex] of C, which can be expressed as [tex]\( \frac{1}{5} \times C \).[/tex]
2. You received 1/3 of the rest:
After giving Tales his share, there are [tex]\( \frac{4}{5} \)[/tex] of the canicas left. You received [tex]\( \frac{1}{3} \)[/tex] of this remaining amount. So, your share is [tex]\( \frac{1}{3} \times \frac{4}{5} \times C \)[/tex].
3. Pitagórica received the remaining 16 canicas:
After Tales and you received your shares, Pitagórica received the remaining canicas, which is given as 16 canicas.
Now, we can set up an equation to represent this situation:
[tex]\[ \frac{1}{5} \times C + \frac{1}{3} \times \frac{4}{5} \times C + 16 = C \][/tex]
Now, let's solve for C:
[tex]\[ \frac{1}{5}C + \frac{4}{15}C + 16 = C \][/tex]
Combine the terms with C:
[tex]\[ \frac{3}{15}C + \frac{4}{15}C + 16 = C \][/tex]
Combine the terms on the left side:
[tex]\[ \frac{7}{15}C + 16 = C \][/tex]
Subtract [tex]\( \frac{7}{15}C \)[/tex] from both sides:
[tex]\[ 16 = \frac{8}{15}C \][/tex]
Now, solve for C:
[tex]\[ C = \frac{15}{8} \times 16 \][/tex]
[tex]\[ C = 30 \][/tex]
Therefore, you originally had 30 canicas in your collection.
Complete question:
He divided my collection of dogs among my three best friends. A Tales to him he gave 1/5 of the total, a Here to me 1/3 of the rest, and lastly to Pitagórica, he gave me the 16 canicles that I sobraron.
How many canicas do I have in my collection?
One wintry week a ski town got 5 1/3 inches of snow. On monday the town got 2 3/4 inches; on tuesday it got 1 1/2 times as much; and on wednesday it got 7/8 inch. How much snow did the town get the rest of the week?
Answer: The amount of snow the town get the rest of the week is given by
[tex]\frac{5}{24}[/tex]
Step-by-step explanation:
[tex]\text{ Total inches of snow town got in a week }=5\frac{1}{3}=\frac{16}{3}[/tex]
[tex]\text{ Amount of snow it is receiving on Monday}=2\frac{3}{4}=\frac{11}{4}\text{ inches }[/tex]
[tex]\text{Amount of snow it is receiving on Tuesday}=1\frac{1}{2}=\frac{3}{2}\text{ inches }[/tex]
[tex]\text{Amount of snow it is receiving on Wednesday}=\frac{7}{8}\text{ inches }[/tex]
[tex]\text{Amount it is receiving in remaining week is given by}[/tex]
[tex]\frac{16}{3}-(\frac{11}{4}+\frac{3}{2}+\frac{7}{8})\\\\=\frac{16}{3}-\frac{22+12+7}{8}\\\\=\frac{16}{3}-\frac{41}{8}\\\\=\frac{128-125}{8}\\\\=\frac{5}{24}\text{ inches }[/tex]
So, the amount of snow the town get the rest of the week is given by
[tex]\frac{5}{24}\text{ inches }[/tex]
If their food and beverages cost 25.30 and there is an 8% meals tax, how much is the bill?
Please help and show work!! Timed!! Will mark brainliest!!
(3w²r)²(-2w⁵r²)³ = When a power is raised to a power the exponents have to be multiplied.
(3²w⁽²*²⁾r²)(-2³w⁽⁵*³⁾r⁽²*³⁾) = We can take out the constants
= (3²)(-2³)(w⁴r²)(w¹⁵r⁶) = We can group the same variables
= -72(w⁴w¹⁵)(r²r⁶) = When multiplying two powers that have the same base, you have to add the exponents.
= -72w⁽⁴⁺¹⁵⁾r⁽²⁺⁶⁾ = -72w¹⁹r⁸
Answer : F) -72w¹⁹r⁸
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
Bryan paid $19.95 for 2.5 pounds of turkey.What was the price per pound
Final answer:
The price per pound of turkey is $7.98.
Explanation:
To find the price per pound, divide the total cost by the weight. In this case, Bryan paid $19.95 for 2.5 pounds of turkey. So, the price per pound is $19.95 divided by 2.5, which is $7.98 per pound.To calculate the price per pound of turkey that Bryan paid, we divide the total cost by the total weight. Bryan paid $19.95 for 2.5 pounds of turkey.
Divide the total cost by the total weight in pounds.
$19.95 ÷ 2.5 pounds = $7.98 per pound
Thus, the price per pound of turkey that Bryan paid is $7.98.
To keep up with rising cost a carpenter needs to increase his $30.00 per hour rate by 18% what will be his hour rate ?
Answer:
In order to keep up with rising cost carpenter needs to increase his $30.00 per hour rate to 35.40 $.
Explanation:
To keep up with rising cost a carpenter needs to increase his $30.00 per hour rate by 18%.
So hour rate of carpenter = 30.00 $
Rate of increase = 18 % = 0.18
New hour rate = Initial hour rate + Rate of increase x Initial hour rate
= 30 + 0.18 x 30 = 30 + 5.4 = 35.40 $
So in order to keep up with rising cost carpenter needs to increase his $30.00 per hour rate to 35.40 $.
The carpenter's new hourly rate after an 18% increase on his current rate of $30.00 will be $35.40 per hour.
To calculate the new hourly rate with an 18% increase, first find 18% of the carpenter's current $30.00 per hour rate. The formula for calculating the percentage increase is:
Percentage increase in wage = (Current hourly rate) x (Percentage increase) / 100
In this case, the calculation would be: $30.00 x 18% / 100 = $5.40.
Next, add this increase to the current rate to find the new rate:
New hourly rate = Current hourly rate + Increase in wage
Applying the values:
New hourly rate = $30.00 + $5.40 = $35.40 per hour.
So, the carpenter needs to charge $35.40 per hour to achieve an 18% increase in his rate.
a cone is a polyhedron.
A.)True
B.)False
The statement "a cone is a polyhedron" is false. The correction option is B.)False
What is a Polyhedron?A polyhedron is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices.
Whereas, a cone is a three-dimensional geometric figure that has a flat surface and a curved surface, and is pointed towards the top.
From the above definitions, we can infer that a cone is not a polyhedron.
Hence, the statement "a cone is a polyhedron" is false. The correction option is B.)False
Learn more on Polyhedron here: https://brainly.com/question/3204708
#SPJ1
Answer: True
Step-by-step explanation:
A recipe for modeling clay requires 1/3 cup of salt. how many recipes of salt can carla make with 7 3/4 cups of salt
Answer:
- The error is: [tex](\frac{31}{4})(\frac{1}{3})[/tex]
- The correct solution is: [tex]\frac{93}{4}=23^{\frac{1}{4}}[/tex] (Carla can make approximately 23 recipes with the clay).
Step-by-step explanation:
1. Carla must divide [tex]\frac{31}{4}[/tex] ÷ [tex]\frac{1}{3}[/tex] as following:
- Take the reciprocal of [tex]\frac{1}{3}[/tex].
- Multiply the numerators and the denominators.
Then:
[tex](\frac{31}{4})(\frac{1}{3})=\frac{(31)(3)}{(4)(1)}=\frac{93}{4}[/tex]
2. As a mixed number:
[tex]\frac{93}{4}=23^{\frac{1}{4}}[/tex]
3. Therefore, Carla can make approximately 23 recipes with the clay.
Carla can make 23 full modeling clay recipes with 7 3/4 cups of salt, with a quarter cup of salt remaining.
To find out how many recipes of modeling clay Carla can make with 7 3/4 cups of salt, we need to divide the total amount of salt she has by the amount required for one recipe. Since one recipe requires 1/3 cup of salt, we will perform the following division: 7 3/4 divided by 1/3.
To simplify this, first, convert 7 3/4 to an improper fraction, which is (7 × 4 + 3)/4, or 31/4. Now, dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we multiply 31/4 by the reciprocal of 1/3, which is 3/1.
31/4 × 3/1 = 93/4, which simplifies to 23 1/4.
This means Carla can make 23 full recipes with a little salt left over.
The price of a necklace was increased by 20% to ?186. What was the price before the increase?
Answer:
148.8
Step-by-step explanation:
The original price of the necklace before the 20% increase was approximately £155 (£186 / 1.20).
To find the original price of the necklace before the 20% increase, we can use the formula:
Original Price = Final Price / (1 + Percent Increase)
Given that the final price is £186 and the increase is 20%, we substitute these values into the formula:
Original Price = £186 / (1 + 0.20)
Calculating inside the parentheses first:
1 + 0.20 = 1.20
Now, divide the final price by 1.20:
Original Price = £186 / 1.20 ≈ £155
So, the original price of the necklace before the increase was approximately £155.
The number [tex]27^{-\frac{2}{3} }[/tex], can be written in the form [tex]\frac{1}{\sqrt[A]{27^{B} } }[/tex]. What is the value of B?
1. [tex]\frac{2}{3}[/tex]
2. 3
3. -2
4. 2
Answer:
4. 2
Step-by-step explanation:
The value of B in the expression is the numerator of the fraction in the exponent: 2.
[tex]27^{-\frac{2}{3}}=\dfrac{1}{\sqrt[3]{27^2}}[/tex]
_____
= 1/9
Eight packages of strawberries cost $24. How many packages can you buy for $12
What are numbers that are either whole numbers or negatives of whole numbers
These are called integer numbers.
We start with natural numbers (or whole numbers), i.e. the set
[tex] \mathbb{N} = \{0,1,2,3,4,\ldots\} [/tex]
When you add the opposite of each whole number, you have the set of integers:
[tex] \mathbb{Z} = \{0,\pm1,\pm2,\pm3,\ldots\} [/tex]
Answer:the not called whole numbers there called integers
Step-by-step explanation: whole numbers are 0 1 2 3 4 and so on integers are 0 -1 -2 -3 -4 and so on
X=2y^3+3 find the inverse show all work
[tex]x=2y^3+3\\\\\text{change x to y and y to x}\\\\y=2x^3+3\\-----------------------\\\text{if you did it}\\\\2y^3+3=x\ \ \ \ |-3\\\\2y^3=x-3\ \ \ \ |:2\\\\y^3=\dfrac{x-3}{2}\to\boxed{y=\sqrt[3]{\dfrac{x-3}{2}}}[/tex]
Gina bought 2.3 pounds of red apples and 2.42 pounds of green apples. They were on sale for $0.75 a pound. How much did the apples cost together?
The formula for the area of a triangle is A =bh/2. Solve the formula for h. (30 points)
The given formula is A= bh/2
First multiply both sides by 2:
2A = bh
Now divide both sides by b:
h = 2A/b
What is the range of the function of y=4e^x
What does the graph of eˣ look like? It has an asymptote at y = 0, passes through (0, 1) and goes to ∞.
y = 4eˣ has a vertical stretch by a factor of 4 compared to the parent graph so the range is the same as it's parent graph.
Range: y > 0 Interval Notation: (0, ∞)
Geoff has a bag that contains 4 red marbles and 6 blue marbles. He chooses two marbles at random and does not replace them. What is the probability that the first marble is blue and the second marble is red? A. B. C. D.
Total number of marbles = 10
Number of red marbles = 4
Number of blue marbles = 6
Probability = [tex]\frac{number of favorable outcomes}{total number of outcomes}[/tex]
The probability that the first marble is blue = [tex]\frac{6}{10}[/tex]
The probability that the first marble is red = [tex]\frac{4}{9}[/tex] ; 9 because 1 marble has already been taken out.
Joint probability= probability of event A * Probability of event B
= [tex]\frac{6}{10}\times\frac{4}{9}[/tex]=[tex]\frac{24}{90}= \frac{4}{15}[/tex]
Consider these two histograms representing two sets of data with 10 observations each. Which of the following is true?
A. The means are equal and the standard deviation of Plot 1 is smaller than the standard deviation of Plot 2.
B. The means are equal and the standard deviations are equal.
C. The mean and standard deviation of Plot 2 are larger than the mean and standard deviation of Plot 1.
D. The means are equal and the standard deviation of Plot 1 is larger than the standard deviation of Plot 2.
Answer:
The answer is D . The means are equal and the standard deviation of Plot 1 is larger than the standard deviation of Plot 2.
Step-by-step explanation:
The histogram gives you information about the number of times a specific number appears on your sample. Then you can construct your sample looking at each histogram. For example in Plot 1 the value -2 appears two times. If you this, you obtain the following samples:
Plot 1: -2, -2, -1, -1, 0, 0, 1, 1, 2, 2
Plot 2: -2, -1, -1, 0, 0, 0, 0, 1, 1, 2
If you calculate the means by adding and dividing by the number of obs you find equal means (0) because the data is centered around 0. ( no deviations to left or right).
Now the standard deviation (sd) can be infered in the histogram. The sd measures the distance around the mean of the data. When data is concentrated very close to the mean, the sd is lower as in Plot 2 (More points are 0 or around zero in Plot 2). In plot 1 your points are farther apart from the mean of zero so the sd is higher.
Use the probability distribution table to answer the question.
What is P(1
ANSWER
[tex]P(1<X<5)=0.51[/tex]
EXPLANATION.
The probability of selecting a number between 1 and 5 can be calculated by summing all probabilities between 1 and 5
[tex]P(1<X<5)=P(X=2)+P(X=3)+P(X=4)[/tex]
[tex]P(1<X<5)=0.07+0.22+0.22[/tex]
[tex]P(1<X<5)=0.51[/tex]
Please help! Question below (:
The 3 inside angles of a triangle need to equal 180 degrees.
You are given 28 for one.
The second on is adding 58 + 77 = 135 degrees.
X = 180 - 28 - 135 = 17 degrees
Mateo reproducira una foto que mide 5 cm por lado a una escala de 3/4
cuanto medira el lado del cuadrado de la copia?
la medida de la copia sera mayor o menor que la original?
the question in English
Mateo will reproduce a photo measuring 5 cm per side on a scale of 3/4
How much will the square side of the copy measure?
Will the size of the copy be larger or smaller than the original?
we know that
the scale factor is equal to [tex]\frac{3}{4}[/tex]
Let
x----------> the original length side
y--------> the copy length side
[tex]y=\frac{3}{4}*x[/tex]
we have that
[tex]x=5\ cm[/tex]
substitute the values
[tex]y=\frac{3}{4}*5=3.75\ cm[/tex]
therefore
the answer Part a) is
the length side of the copy measure is [tex]3.75\ cm[/tex]
Part b)
we know that
the size of the original photo is------> [tex]5*5=25\ cm^{2}[/tex]
the size of the copy is------> [tex]3.75*3.75=14.06\ cm^{2}[/tex]
so
[tex]14.06\ cm^{2} < 25\ cm^{2}[/tex]
therefore
the answer part b) is
The size of the copy be smaller than the original
Is (1, 6) a solution to this system of equations? Y = 9x + 10 y = x + 5
Identify the complete predicate in the sentence below.
"The settlers traveled west in covered wagons"
a. traveled west
b. settlers traveled
c. traveled west in covered wagons
Identify the simple subject and verb
"Soon, telegraph lines provided additional communication to the city."
a. lines provided
b. telegraph lines soon provided
c. lines provided communication
Solution 1:
In the given statement :
"The settlers traveled west in covered wagons"
The Predicate is traveled west in covered wagons.
So option c. traveled west in covered wagons is the correct choice.
Solution 2:
In the given sentence:
"Soon, telegraph lines provided additional communication to the city."
The simple subject and verb are given by lines provided.
Answer : Option a: lines provided.
Plz Answer ASAP!!! (20 Points)
Equation is x= 558 t2/496
x=4.5
I got the answer from another brainly user asking the same question. Someone else answered it. I just typed your question into the search bar and got it. Good luck <3
Determine the constant of variation for the direct variation given. The number of fat calories varies directly with the grams of fat. There are 27 calories for each 3 grams of fat.
1/3
1/9
3
9
The Correct answer would be )9
27
---- = k K- Constant Variation
3
Hope This Helps
-Dante
9 is correct
27/3 = 9