Answer:
y = -4x + -3
Step-by-step explanation:
(x,y) is how we write a coordinate and the formula for slope intercept is y=mx+b so we can replace the x and y for (-2,5) and m=slope so we put -4 in place of m.
5 = -4(-2) + b
5 = 8 + b
-8 -8
-3 = b
So b = -3 and now we can write the complete equation.
y = -4x + -3
Hope that helps and have a great day!
Seventy-five 6th- grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?
The management of a restaurant conducted a survey and found that 18 % of the customers preferred Orange Juice to Apple Juice. Based on this information, what is the probability that for a random sample of 17 customers, 7 preferred Orange Juice?
Answer:
The customers are wrong.
Step-by-step explanation:
Apple juice is wayyyyyyyyy better than orange juice.
Vector v = (2,1). What operation has been performed on v to result in the vector that is shown?
The operation that has been performed on v to result in the vector that is shown is multiplication by -1.
How to explain the vectorThe vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.
Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).
Here is the mathematical equation:
(-1) * (2, 1) = (-2, -1)
Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.
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Need help solving this equation by rewriting using the laws of exponents!
Using Law of exponents, The value of \(5\sqrt{\frac{8xz^{2} }{y^{3} } }\) \((\frac{8xz^{2} }{y^{3} } )^{\frac{1}{5} }\)
Exponent rules are the laws that are applied to simplify exponent-based expressions. The principles of exponents make it simple to carry out numerous arithmetic operations, such as addition, subtraction, multiplication, and division, in a short amount of time. Additionally, these rules aid in the simplification of numbers with complex powers incorporating roots, fractions, and decimals.
Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements. These guidelines are useful for reducing the complexity of expressions whose exponents are decimals, fractions, irrational numbers, or negative integers.
Given,
\(5\sqrt{\frac{8xz^{2} }{y^{3} } }\)
⇒ \((\frac{8xz^{2} }{y^{3} } )^{\frac{1}{5} }\)
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A musical group performs two concerts. a total of 512 people attend the two concerts. the bar model represents the number of people that attend each concert. which expression models the number of people attending concert 1?
The expression that models the number of people attending concert 1 is given as follows:
512/6.
How to obtain the number of people attending concert 1?The number of people attending concert 1 is obtained applying the proportions in the context of the problem.
From the bar model, the fractions corresponding to each concert are given as follows:
Concert 1: 1/6.Concert 2: 5/6.The total number of people is given as follows:
512.
Hence the expression that models the number of people attending concert 1 is given as follows:
512/6.
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Determine whether the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence. 4096, 1024, 256, 64, 16,...
Answer: geometric series
Step-by-step explanation:
If it is arithmetic, the difference from each term to the next will always be the same.
4096 - 1024 = 3072; 1024 - 256 = 768
3072 ≠ 768. so not arithmetic
If it is geometric, the ratio of each term to the next will always be the same.
4096/1024 = 4
1024/256 = 4
256/64 = 4
64/16 = 4
This is a geometric series. Each term (after the first) is (1/4) of the term before.
Hope this helps.
Somebody can help me
Answer:
Add 4 linear
Multiply by 3/2 exponential
Multiply by 1/2 exponential
Add -10 linear
Step-by-step explanation:
Look at what you need to do to the y value to get the next y value. Linear is when you add and exponential is when you multiply.
Solve for e:
-13 + 7e = -3e - 33
Answer:
e = -2
Step-by-step explanation:
-13+7e=-3e-33
We move all terms to the left:
-13+7e-(-3e-33)=0
We get rid of parentheses
7e+3e+33-13=0
We add all the numbers together, and all the variables
10e+20=0
We move all terms containing e to the left, all other terms to the right
10e=-20
e=-20/10
Answer:
e = -2
Step-by-step explanation:
= 7e + 3e = -33 + 13
= 10e = -20
= e = -2
Arrange these fractions in order, smallest first.
2/3, 7/9, 5/6, 11/18
Answer:
\(\frac{11}{18},\frac{2}{3},\frac{7}{9},\frac{5}{6}\)
Step-by-step explanation:
18 is the common multiple of all the denominator, so:
\(\frac{2}{3}=\frac{12}{18} \\\\\frac{7}{9}=\frac{14}{18} \\\\\frac{5}{6}=\frac{15}{18} \\\\\frac{11}{18}\)
Now that they have a common denominator, we can order them just by looking at the numerator.
\(\frac{11}{18},\frac{2}{3},\frac{7}{9},\frac{5}{6}\)
Solve for h -110=13+3(4h-6)
Answer:
H= -35/4
Decimal form: -8.75
Explanation:
Subtract 13 from both sides. { -110 - 13 =3(4h - 6) }Simplify -110 -13 to -123 { -123 = 3 (4h - 6) }Divide both sides by 3 { -123/3 = 4h - 6 }simplify 123/3 to 41 { -41 = 4h - 6 }add 6 to both sides { -41 +6 = 4h }simplify -41 + 6 to -35 { -35 = 4h }divide both sides by 4 { - 35/4 = h }switch sides { h= - 35/4 }Which two numbers multiply to -52 and add to 24?
Answer: -2 and 26
Step-by-step explanation:
-2 * 26 = -52
-2 + 26 = 24
Answer:
-2 and 26
Step-by-step explanation:
simplify 6to the power of-3 over 6 to the power of5
1/1679616 or 5.9537418 times 10 to the power of -7
an airplane flew for one hour and landed 100 miles north and 80 miles east from its origin. what was the distance traveled, speed and angle of direction from its origin?
The distance traveled by airplane is 180 miles.
The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°
The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.
Then, the total distance traveled by airplane will be:
= 100 miles + 80 miles = 180 miles.
The speed can be defined as the distance traveled by the total time taken.
Speed = distance/time
Speed = 180 miles/ 1 hour
Speed = 180 miles/60 minutes
Speed = 3 miles per minute
The angle of direction from its origin will be:
tan (x) = 100 miles/80 miles
x = tan⁻¹ ( 100/80)
x = tan⁻¹ ( 10/8) = tan⁻¹ ( 5/4)
x = 51.34°
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BRUUUHHH PLZ
HELP GIVING 5 STARS TO ALL
Approximately how many times has your heart beaten in your lifetime? Give your answer in 3 different forms? How did you solve this problem?
Answer:
In your full life time, your heart may beat about 2 billion thru 3billion times.
Every day your heart beats about 9,500 thru 100,000 times
Every minute your heart beats 75 times.
Step-by-step explanation:
im pretty sure this answers your question.
I solved this problem because I learned about it in health class.
What is lower quartile the median upper quartile for these numbers 1,3,4,6,6,8,9
Answer:
Step-by-step explanation:
Quartile means fourth
break up the numbers in to 4 groups, start by finding the middle numbers and split the numbers in half. Then split both of those two groups in half to find the quartiles.
Lower quartile is the group with the smallest numbers.
Median is the middle number (of the whole group).
Upper quartile is the group with the largest numbers.
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
Venessa bought 80 apples for 4$.out of these apples 25 precent were rotten and had to be thrown away Vanessa sold the remaining apples at 6 cents per apple. What is the profit or loss percentage
The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.
Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.
Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.
Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.
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Can someone please help me on this I’m not sure if what I is the correct answer someone help
Answer: you got it right, it is the one that is blue highlighted.
Hypothesize whether you believe the mitochondria can live independent of the cell, meaning outside on its own. Explain, in your own words, why you believe it can or cannot do this.
Answer:
Mitochondria arise from the division of existing mitochondria. They may fuse together. They move around inside the cell by interactions with the cytoskeleton. However, mitochondria cannot survive outside the cell.
Step-by-step explanation:
hope this helps
sophia says that you can solve the problem in the Example by multiplying both quantities in the ratio 60 : 36 by 1 . Is Sophia correct? Explain.
Answer:
No multiplying both quantities in the ratio 60 : 36 by 1 would not give the answer .
But multiplying both quantities in the ratio 60 : 36 by 1/6 would solve it.
Step-by-step explanation:
Multiplying any number or ratio by 1 gives the same answer no matter what the expression or how much bigger the number is.This will not give the solution .
If it is multiplied with a fraction like 1/6 that would give the correct answer.
Multiplying it with 1/6 reduces the ratio and gives a better estimate.
A:B
60:36
60*1/6: 36*1/6
10: 6
Meaning that for a total of 16 there are 10 of category A and 6 of category B.
But if we do the same procedure with the answer is same which does not solve the question.
A:B
60:36
60*1: 36*1
60: 36
Resuelve el problema en lenguaje algebraico
De 10 animales en peligro de extinción disminuye 3
Ayuda plis
Given g(k) = 2k² - 4, find g(-5).
Answer:
g(-5)=46
Step-by-step explanation:
given that function is,
g(k) = 2k² - 4,
and we find the value of g(-5)
so,
g(-5)=2(5)^2-4
simpley put -5 in place of k
g(-5)=2×25-4
g(-5)=46
Answer:
g(-5) = 46
Step-by-step explanation:
Given function:
\(g(k)=2k^2-4\)
To find g(-5), substitute k = -5 into the given function:
\(\begin{aligned}\implies g(-5)&=2(-5)^2-4\\&=2(25)-4\\&=50-4\\&=46\end{aligned}\)
A bowl contained 59.16 grams of salt. Then, Omar poured in another 13.2 grams. How much salt does the bowl contain now?
Answer: 72.36
Step-by-step explanation:
To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.
The initial amount of salt in the bowl was 59.16 grams.
Omar added 13.2 grams of salt to the bowl.
To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36
Therefore, the bowl contains 72.36 grams of salt now.
8.2: Word Problems - UNDERLINE key words, set up your division sentence, then solve!
Ms. K's cooking club needs 2 1/4 cups of flour to make enough crepes for everyone in the class. The
club split into 6 smaller groups, each making their own batch. How much flour does each group
need?
Answer:
3/8
Step-by-step explanation:
hope it helps :)
A candy company has fixed costs (costs that it must pay regardless of how much candy they
make) of $500 per day, and it costs them an additional $3 to manufacture each box of candy.
They can sell their candy for $3 a box. If we jet x represent the boxes of candy sold, the number of
boxes they need to sell to break even can be found by solving the equation 3x + 500 = 3x. How
many boxes of candy to they need to sell to break even?
You can never achieve break even by selling any number of boxes of candy if it costs them an additional $3 to manufacture each box of candy.
What is Break even point?In economics, business, and particularly cost accounting, the break-even point is the point at which total cost and total income are equal, or "even."
Although these opportunity costs have been paid and then capital has received the risk-adjusted, projected return, there is no net loss or gain, and one has "broken even."
Fixed cost (in manufacturing) = $500
Manufacturing cost of each candy = $3
and selling price of candy = $3
let x be a box of candy sold,
hence for no of box to be sold for a break even,
3x + 500 = 3x
but if you see above equation, that has no solution
Hence by providing each candy at $3 with $500 fixed cost and selling cost again at $3 you cannot achieve a break-even point.
hence there is no solution, and you will never be able to achieve break even.
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siete veces un número en expresión algebraica
In algebra, "seven times a number" is written as 7x, which is the multiplication of seven instances of the symbol x.
What is the formula for algebraic expressions?An equation that includes constants, variables, and a few algebraic operations is said to be algebraic. A good example of an algebraic expression is 3x2 2xy + d. So, three different types of fundamental building blocks make up an algebraic expression: Coefficient (i.e. numbers) (i.e. numbers)
A seven-times-a-number is represented by multiplying it by seven or adding it to another integer (since this is an abbreviated successive addition ).
If x is any number, then it may be written as follows seven times: Algebraic expressions (numbers or letters) are linked by fundamental operations including addition, subtraction, multiplication, and division in mathematical language.
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Complete question -
Seven times a number in algebraic expression
Six more than 7 times a number equals 10 times the number minus 12.
Answer: 64
Step-by-step explanation:
Answer:
7x + 6 = 10x - 12
Step-by-step explanation:
x = the number
six more than is +6
7 times a number is 7x
10 times the number is 10x
and minus 7 is -7
Need help asap!! For this algebra
It is noticed that the factors then the x-intercepts are the same value as that of factors.
Given that, the quadratic equation represented on the graph in factored form is y=(x-3)(x+2).
From the graph, x-intercepts are x=-2 and x=3.
The vertex of the given quadratic graph is (0.5, -6)
Therefore, it is noticed that the factors then the x-intercepts are the same value as that of factors.
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Solve following modular equation, using reverse Euclidean algorithm:
\((5 * x) mod 91 = 32\)
The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is
x = 6(mod 91).
Given that (5*x) mod 91 =32.
To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.
Consider (5*x) mod 91 =32.
5x = 32(mod 91)
Apply the Euclidean algorithm to find GCD of 5 and 91 is
91 = 18 * 5 + 1.
Rewrite it in congruence form,
1 = 91 - 18 *5
On simplifying the equation,
1 = 91 (mod 5)
The modular inverse of 5 modulo 91 is 18.
Multiply equation by 18 on both sides,
90x = 576 (mod91)
To obtain the smallest positive solution,
91:576 = 6 (mod 91)
Divide both sides by the coefficient of x:
x = 6 * 90^(-1).
Apply the Euclidean algorithm,
91 = 1*90 + 1.
Simplify the equation,
1 + 1 mod (90)
The modular inverse of 90 modulo 91 is 1.
Substitute the modular inverse in the given question gives,
x = 6*1(mod 91)
x= 6 (mod91)
Therefore, the solution to the modular equation (5x) mod 91 is
x = 6(mod 91).
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How many solutions does the following equation has
Answer:
I think only 1 but not 100% sure
Step-by-step explanation:
Answer:
One solution
Step-by-step explanation:
Combine like terms and simplify.
20z - 5 - 12z = 10z + 8
⇒ z(20 - 12) - 5 = 10z + 8
⇒ z(8) - 5 = 10z + 8
⇒ 8z - 5 = 10z + 8
Subtract 8z both sides.
⇒ 8z - 8z - 5 = 10z + 8 - 8z
⇒ -5 = 2z + 8
Subtract 8 both sides.
⇒ -5 - 8 = 2z + 8 - 8
⇒ -13 = 2z
⇒ -13/2 = 2z/2
⇒ -6.5 = z
Thus, there is 1 solution.