The sum of the given expression is found as 6y - 15.
What is termed as the distributive property?To "distribute" something means to divide it or give a share or portion of it. The distributive property refers to the distributive law of multiplication placed above a white basic arithmetic operations such as addition and subtraction. This property states that multiplying the sum of two or even more addends by a number produces the same outcome as multiplying each addend separately by the number and afterwards adding this same products together.In other words, a combination of the type A (B+ C) can be solved using the distributive property as A (B + C) = A B +AC.For the given question,
The equation is stated as;
sum: 3(2y-5)
Using distributive property.
= 3×2y - 3×5
On simplification;
= 6y - 15
Thus the sum of the given expression is found as 6y - 15.
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Suppose f(x) represents the amount of money in a bank account after x weeks.If you want to represent the amount of money in a bank after 7 weeks, what should you write instead of f(x)?
Since f(x) represents the amount of money in a bank account after x weeks and we want to know the money after 7 weeks we need to plug x=7 in the function, that is we need to write f(7).
What’s the correct answer answer asap for brainlist
Answer: its protein channels
Step-by-step explanation:
d 2 6.28 3 9.42 5 15.7 What is the constant of proportionality? Type your answer below as a number texample: 5.3.1. + H2. or 3/2):
Ok,we can calculate the constant of proportionality as the slope of a line
with this equation
[tex]m=\frac{y2-y1}{x2-x1}[/tex]where (x2,y2) is a point to the right compared to (x1, y1)
for this case I will choose the points (2,6.28) and (3,9.42)
where (3,9.42) is (x2,y2)
[tex]\begin{gathered} m=\frac{9.42-6.28}{3-2} \\ m=\frac{3.14}{1} \\ m=3.14 \end{gathered}[/tex]if we want a more exact number we can divide one number by another
[tex]\begin{gathered} \frac{6.28}{2}=3.14 \\ \frac{9.42}{3}=3.14 \\ \\ \frac{15.7}{5}=3.14 \end{gathered}[/tex]so the correct constant of proportionality is 3.14
Please answer question 11, 12, And 13 there different word problems.
radius= 12 meters
Explanation
11)the area of the sector is given by:
[tex]A=\frac{5}{18}\pi r^2[/tex]
where r is the radius ( in meters)
then
Step 1
Let
[tex]\begin{gathered} \text{radius}=r \\ \text{Area}=\text{ A=}40\pi(m^2) \end{gathered}[/tex]
now replace and solve for r
[tex]\begin{gathered} A=\frac{5}{18}\pi r^2 \\ 40\pi=\frac{5}{18}\pi r^2 \\ \text{the }\pi\in\text{ both sides is eliminated,so} \\ 40=\frac{5}{18}r^2 \\ \text{now,multiply both sides by 18/5} \\ 40\cdot\frac{18}{5}=\frac{5}{18}r^2\cdot\frac{18}{5} \\ 144=r^2 \\ \text{square root in both sides} \\ \sqrt{144}=\sqrt{r^2} \\ 12=r \end{gathered}[/tex]therefore, the answer is
radius= 12 meters
I hope this helps you
Find the area. I'll add picture
The area of a triangle is represented below
[tex]\text{area}=\frac{1}{2}bh[/tex]where
b = base = 14 mm
h = height = 8.2 mm
[tex]\begin{gathered} area=\frac{1}{2}\times14\times8.2 \\ \text{area}=\frac{114.8}{2} \\ area=57.4mm^2 \end{gathered}[/tex]Find the distance between the two points below. If your answer is not aninteger then type it as a decimal rounded to the nearest hundredth.(-4,1) and (3,-4)The distance between the two points is
The distance between two points is defined as follows:
[tex]d(a,b)=\sqrt[]{(x_2-x_1)^2-(y_2-y_1)^2}[/tex]Replacing the points in the equation:
[tex]\begin{gathered} a\to(-4,1) \\ b\to(3,-4) \\ d(a,b)=\sqrt[]{(3_{}-(-4))^2-(-4_{}-1_{})^2} \\ d(a,b)=\sqrt[]{(7)^2-(-5_{})^2} \\ d(a,b)=\sqrt[]{49-25} \\ d(a,b)=\sqrt[]{24} \\ d(a,b)=4.8989 \end{gathered}[/tex]The distance between the two points is 4.89 aprox 4.9
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
The value of x in the given quadratic equation (x - 3)² = 49 is; x = 10
How to solve Quadratic equations?
The general form of a quadratic equation is given as;
ax² + bx + c = 0
The quadratic formula that is used to solve this is given by;
x = [-b ± √(b² - 4ac)]/(2a)
Now, we are given the quadratic equation as;
(x - 3)² = 49
Taking the square root of both sides gives us;
x - 3 = √49
x - 3 = 7
Add 3 to both sides to get;
x - 3 + 3 = 7 + 3
x = 10
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According to Descartes's rule of sign, how many possible positive and negative roots are there for the equation 0=-4x^6 - 3x^5+2x² - 4x +1? Drag the choices to the boxes to correctly complete the table.
[tex] -4x^6 - 3x^5+2x^2 - 4x +1 = 0[/tex] has 1 or 3 Positive roots and one only Negative roots.
Descartes' rule of sign.Function has the same number of positive real zeroes as there are number of changes in the sign of the coefficients, or an even number less than the found number.
Now, here the given expression is : p(x) = [tex] -4x^6 - 3x^5+2x^2 - 4x +1 [/tex]
Now here, the number of sign changes are:
First : + to - in [tex] - 3x^5 => + 2x^2 [/tex]
Second : - to + in [tex]+2x² => - 4x [/tex]
Third: + to - in [tex] - 4x => +1 [/tex]
So, the total sign changes = 3
⇒ The total positive roots of p(x) = 3 or a EVEN NUMBER LESS THAN 3 = 1.
So, p(x) has either 3 or 1 POSITIVE ROOTS.
⇒ The number of negative roots p(x) has is either 4 or 6.
Hence has 1 or 3 Positive roots.
Now I look at f (−x). That is, having changed the sign on x, I'm now doing the negative-root case:
p(-x) = [tex] -4(-x)^6 - 3(-x)^5+2(-x)^2 - 4(-x) +1 [/tex]
= [tex] -4x^6 + 3x^5+2x^2 + 4x + 1 [/tex]
the number of sign changes are:
First : + to - in [tex] -4x^6 => +3x^5 [/tex]
So, the total sign changes = 1.
so there is exactly one negative root. (In this case, I don't try to count down by two's, because the first subtraction would give me a negative number.)
Hence has 1 or 3 Positive roots and one only Negative roots.
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8. Multi-Step Willie bagged his potatoes
in 18 ten-pound bags, 16 five-pound bags,
and 4 twenty-five pound bags. He has
2 pounds of potatoes left over. How many
pounds of potatoes does Willie have?
The total pounds of the potatoes Willie have is 362 pounds.
What is defined as the term addition?Addition is a method of combining items and counting them as a single large group. In mathematics, addition is the method of integrating two or more numbers together. The numbers added are referred to as addends, and the result or final answer obtained after the method is referred to as the sum.For the given question.
Multi-Step Willie bagged his potatoes in -
18 ten-pound bags, 16 five-pound bags,4 twenty-five pound bags,2 extra pounds of potatoes.Thus, the total pounds of the potatoes are-
Total potatoes = 18×10 + 16×5 + 4×25 + 2
Total potatoes = 362
Thus, the total pounds of the potatoes Willie have is 362 pounds.
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Don't understand −52(6+24)=−12
The equation is given
[tex]-52(6x+24)=x-12[/tex]ExplanationTo determine the value of x ,
[tex]\begin{gathered} -52\times6x-52\times24=x-12 \\ -312x-1248=x-12 \\ -313x=1248-12 \\ -313x=1236 \\ x=-3.948 \end{gathered}[/tex]AnswerHence the answer is x= -3.95.
Point H(-7, 5) is rotated 270° clockwise to create H a.write a rule for transformation. B.give thelocation of each.
The image of the point after the rotation is (-5, 7)
What is a 270 degrees rotation?A 270 degrees rotation is a rotation that has the same effect as the 90 degrees counterclockwise of a figure.
How to determine the image of the rotation?The coordinate of the point is given as
H = (-7, 5)
The rotation is given as 270° clockwise
As mentioned above,
The algebraic rule of its rotation to be changed from (x, y) to (-y, x) i.e. (x, y) => (-y, x)
So, we have
(x, y) => (-y, x)
Substitute (-7, 5) in (x, y) => (-y, x)
So, we have
(-7, 5) => (-5, 7)
Rewrite as
H' =(-5, 7)
Hence, the coordinates of the image using the rotation rule is (-5, 7)
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Find an equivalent expression without parentheses -(6-n)=
Given the expression;
[tex]-(6-n)[/tex]Step 1: We multiply the expression in the parentheses by -1, we have;
[tex]\begin{gathered} =-1(6)-1(-n)_{} \\ =-6+n \end{gathered}[/tex]Hence, -(6-n)= -6+n
a cone has a radius of 4 cm and a height of 3 cm what is the volume of the cone to the nearest tenth of a cubic centimeter?A. 12.6 B. 25.1 C. 50.2 D. 150.7
Which tree diagram shows the possible outcomes of choosing either black or gray shorts and a blue,green,white, or red T-shirt
The second option is the correct answer
Outcome can be
x² + 8x + 17, x ≤ -5X+4,x>-52B) Does not exist.5) lim f(x), f(x) =x->-5
Evaluate each limit separately:
[tex]\begin{gathered} \lim_{x\to-5}x^2+8x+17 \\ \\ \lim_{x\to-5}(-5)^2+8(-5)+17=25-40+17=2 \\ \\ \end{gathered}[/tex][tex]\begin{gathered} \lim_{x\to-5}-\frac{x}{2}+4 \\ \\ \lim_{x\to-5}-\frac{-5}{2}+4=\frac{5}{2}+4=\frac{5+8}{2}=\frac{13}{2}=6.5 \end{gathered}[/tex]As the one-sides limits are different, the limit doesn't existAnswer: Does not exist.Does the table show a proportional relationship? If so, what is the value of y when x is 3/5?
There is a directly proportional relationship between "x" and "y" which is y=5x i.e., for every "x", value of "y" is "5x" hence the value of "y" if value of x=3/5 will be y = 3.
As per the question statement, we are supposed to find out a proportional relationship between "x" and "y" and also find the value of "y" when x=3/5.
After observing the given data, we conclude that y = 5x i.e., for every value of "x", value of "y" is "5x".
So we derive a formula y = 5x and the proportionality constant is 5
Now when x = 3/5
Then by the formula, y = 5x,
y = 5*(3/5)
y = 3
Hence, there is a directly proportional relationship between "x" and "y" which is y=5x i.e., for every "x", value of "y" is "5x" hence the value of "y" if value of x=3/5 will be y = 3.
Direct Proportionality. When two values are directly proportional, it indicates that if one increases by a specific percentage, the other also increases by the same percentage.To learn more about direct and inverse proportionality, click on the link given below:
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solve 8,961 ÷ 29 in standard algorithm.
500 points
The value of the quotient expression 8,961 ÷ 29 = 309
How to determine the quotient of the numbers?The numbers are given as
8961 and 29
So, we have
8,961 ÷ 29
By using the standard algorithm i.e. the partial quotient method, we have the following equation
8,961 ÷ 29 = (8700 + 261)/29
Open the bracket
So, we have the following equation
8,961 ÷ 29 = 8700/19 + 261/29
Evaluate the quotients
So, we have the following equation
8,961 ÷ 29 = 8700/19 + 261/29
Next, we evaluate
So, we have the following equation
8,961 ÷ 29 = 309
This means that the quotient is 309
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Answer:
Step-by-step explanation:
309
Jasmine is packing her bag for a four-day music festival. The weather forecast for each of the days states that the probability of rain is a constant value of 30%. Find the probability that it will rain on at least two of the four days.
The probability that it will rain for a particular day is 30 % .
Calculating the individual probabilities ,
[tex]\begin{gathered} P(\text{ two days ) = }2\text{ }\times\text{ 30 = 60 \%} \\ \text{ } \\ \end{gathered}[/tex]The required probability is calculated as ,
[tex]\text{Required probability = }\frac{60\text{ }}{100}\text{ = 0.60 }[/tex]Thus the probability that it rains for atleast 2 days is 0.60 .
5(2x − 4)= 10x − 20Solve for x
5(2x − 4)= 10x − 20
5*2x - 5*4 = 10x - 20
10x - 20 = 10x - 20
10x = 10x
Any real value attributed to x satisfies this equation. Therefore, there are infinite solutions to this equation.
Answer: X= (-∞,∞)
Step-by-step explanation:
Simplifying
5(2x + -4) = 10x + 20
Reorder the terms:
5(-4 + 2x) = 10x + 20
(-4 * 5 + 2x * 5) = 10x + 20
(-20 + 10x) = 10x + 20
Reorder the terms:
-20 + 10x = 20 + 10x
Add '-10x' to each side of the equation.
-20 + 10x + -10x = 20 + 10x + -10x
Combine like terms: 10x + -10x = 0
-20 + 0 = 20 + 10x + -10x
-20 = 20 + 10x + -10x
Combine like terms: 10x + -10x = 0
-20 = 20 + 0
-20 = 20
Solving
-20 = 20
help me pleasee!!
thank you <3
what is the answer to 13 /5/6 - 17 /3/8
When the fractions, 13 5/6 and 17 3/8 are subtracted, the answer would be -3 ⁵ / ₁₂
How to subtract mixed fractions?To subtract mixed fractions, the first thing to do is to convert the mixed fraction to an improper fraction.
To convert improper fractions, multiply the denominator by the whole number and then add the numerator. The result would be the numerator.
Converting the fractions gives:
13 5/6 = 83 / 6
17 3/8 = 139 / 8
Subtracting these fractions then gives:
= 83 / 6 - 139 / 8
Find a common denominator for 6 and 8 which will be 24 as this is their lowest common multiple.
Then, divide 24 by the denominator and multiply the result by the numerator of the fraction:
= 332 / 24 - 417 / 24
= -85 / 24
= - 3¹⁰ /₂₄
= -3 ⁵ / ₁₂
In conclusion, the answer would be -3 ⁵ / ₁₂
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on Monday a local hamburger shop sold a combined total of 375 hamburgers and cheese burgers. the number of cheeseburgers sold was two times the number of hamburgers sold.how many hamburgers were sold?
Answer =
Equations:
Quantity Eq. : h + c = 375
Quantity Eq. : c = 3h
----------------------------
Substitute to solve for "h":
h + 2h = 375
3h = 375
h = 125 (# of hamburgers)
----------
Substitute to solve for "c":
125 + c = 375
c = 250 (# of cheeseburgers)
The midpoint M of CD has coordinates (-2.5, 5.5). Point C has coordinates (4, 2). Find the
coordinates of point D.
Write the coordinates as decimals or integers.
D=(_____, _____)
graphing problem need help with it
Answer:
(2,-3)
Step-by-step explanation:
I used desmos to graph and find point of interception
Write an equation in slope-intercept form of the line that passes through the point (-6,-5) with slope 6.A. y = -5 + 6(2 + 6)B.y=6x + 31c. y - 5 = 6(x+6)D. 6x – y + 31 =0
Using the Point-Slope Formula :
[tex]y-y_1=m(x-x_1)[/tex]where m is the slope and (x1, y1) is the point on the line
From the given problem, m = 6 and the point is (-6, -5)
Subsitute the given to the formula :
[tex]\begin{gathered} y-(-5)=6\lbrack x-(-6)\rbrack \\ y+5=6(x+6) \\ y+5=6x+36 \\ y=6x+36-5 \\ y=6x+31 \end{gathered}[/tex]The answer is Choice B. y = 6x + 31
Share 12 sweets between ife and jumai in ratio 3:1. How many sweets will Jumai get?
Consider the following inequality:2(3z - 4) > - 2z + 16Step 1 of 2: Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Let's solve the inequality:
[tex]\begin{gathered} 2(3z-4)\ge-2z+16 \\ 6z-8\ge-2z+16 \\ 6z+2z\ge16+8 \\ 8z\ge24 \\ z\ge\frac{24}{8} \\ z\ge3 \end{gathered}[/tex]Therefore the solution of the inequality is:
[tex]z\ge3[/tex]sketch one cycle of y= -3 sin θ
Answer:
Explanation:
One cycle of the function runs from 0 to 2 pi.
To sketch one cycle one -3 sin θ, we first plot find some points that lie on it and then plot them to sketch the graph.
We evaluate the function at 0, pi/2, and 2pi.
[tex]\begin{gathered} y(0)=-3\sin 0=0 \\ y(\frac{\pi}{2})=-3\sin \frac{\pi}{2}=-3 \\ y(2\pi)=-3\sin 2\pi=0 \end{gathered}[/tex]We now sketch the three points we found above.
Hence, we get the graph of the function for one cycle.
In the diagram below, lines k and intersect lines
m and n at points A, B, C, and D
Which statement is sufficient to prove ABCD is a
parallelogram?
1) Angles 1 and 3
2)angles 4 and 7
3)angles 2 and 5, angles 5 and 7
4) angles 1 and 3, angles 3 and 4
Answer:
actually c is the right answer
Angles 2 = angle 5, and angles 5 = angle 7. Option 3 is correct.
What is quadrilateral?A quadrilateral is a four-sided shape as given in the picture in question.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
here,
In the diagram,
Lines k and intersect lines m and n at points A, B, C, and D,
So,
For ABCD, proved to be a parallel gram, ,
Angles 2 = angle 5, and angles 5 = angle 7
Thus, Angles 2 = angle 5, and angles 5 = angle 7. Option 3 is correct.
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A 12-in.-long steel cable weighs 0.428 lb.How much does an 11.4-ft-long cableweigh?
4.8792 lb
1)Since a 12 inch weighs 0.428 lb
2) We need to convert a 11.4 ft to lb
1 ft -----12 inches
11.4 -----x
x=136.8 inches
3) If a 12 inches long steel weighs 0.428 lb, let's calculate the weight of 136.8 inches cable
12 inches -----------------0 .428 lb
136.8 inches ------- y
12y =0.428 x 136.8
12y =58.5504
y=4.8792 lb
