Equation of line whose slope is 3 and passing point (2, 5) is y = 3x - 1.
What is Slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.
Here, Slope of line = 3
Passing point (2, 5)
Equation of line
(y - y₁) = m (x - x₁)
y - 5 = 3 (x - 2)
y - 5 = 3x - 6
y = 3x - 6 + 5
y = 3x - 1
Thus, equation of line whose slope is 3 and passing point (2, 5) is y = 3x - 1.
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what is Tan 46 = x/12
Answer:
≈ 12.43 ( to 2 dec. places )
Step-by-step explanation:
Given
tan46° = [tex]\frac{x}{12}[/tex]
Multiply both sides by 12
12 × tan46° = x, so
x ≈ 12.43
The value of x is 12.426 in the equation Tan 46° = x/12
Tan 46° represents the ratio of the opposite side to the adjacent side in a right triangle with a 46° angle.
Using the tangent function, we have:
Tan 46° = x/12
To find the value of x, we can multiply both sides of the equation by 12:
12 ×Tan 46° = x
Now, we can calculate the value of x using the tangent of 46°:
x = 12×Tan 46°
x= 12 × 1.03553031374
x = 12.4263637649
Therefore, the value of x is 12.426
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compare the number of sodas to candy bars 4 sodas and 3 candy bars.
Answer:
3:4 is the ratio there are more soda cans
Step-by-step explanation:
There are more sodas than candy bars. Specifically, there are 4 sodas and 3 candy bars, which means there is 1 more soda than candy bars.
To compare the number of sodas to candy bars, we simply look at the quantities given. We have 4 sodas and 3 candy bars. To determine which quantity is greater, we can subtract the number of candy bars from the number of sodas:
Number of sodas - Number of candy bars = 4 - 3 = 1
Since the result is a positive number, it indicates that there are more sodas than candy bars. In this case, there is exactly 1 more soda than candy bars. Therefore, we can conclude that the number of sodas is greater than the number of candy bars.
What is (a+2)(a+2) make sure to multiply
Answer:
a² + 4 a + 4
Step-by-step explanation:
( a + 2 ) ( a + 2 )
Expand brackets
a² + 2 a + 2 a + 4
Simplify
a² + 4 a + 4
[tex]\text{Hey there!}[/tex]
[tex]\text{(a + 2)(a + 2)}[/tex]
[tex]\text{In order for you to solve this, you need to DISTRIBUTE}[/tex]
[tex]\text{a(a) = a}^2[/tex]
[tex]\text{a(2) = 2a}[/tex]
[tex]\text{2(a) = 2a}[/tex]
[tex]\text{2(2) = 4}[/tex]
[tex]\text{Next, combine your like terms: 2a \& 2a}[/tex]
[tex]\text{2a + 2a = 4a}[/tex]
[tex]\text{Everything else stays the same because they aren't like terms}[/tex]
[tex]\boxed{\boxed{\bf{Thus,\ your\ answer\ is:a^2+4a+4}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Isabella has 7 bills, all tens and twenties. She has 100$ in all. How many ten dollar bills does she have
7 bills *10 and 20 dollar bills
= $100
20*3=60
3 bills used 4 left over
10*4=40
no bills left
60+40=100
Mark Brainlyest please
Answer:
4 ten dollar billsStep-by-step explanation:
In order to explain Isabella has 3 twenty dollar bills
3(20)
and 4 ten dollar bills
4(10)
3(20) + 4(10) = 100
60 + 40 = 100
on edge
sorry I know this won't help you, author but it might help people who are using edge in 2022
In parallelogram DEFG, DH = x + 2 HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to scale.
Final answer:
The problem involves finding the values of x and y in a parallelogram, using given segment lengths. Without an additional equation, we can only express one variable in terms of the other, resulting in the equation 4 = 3x + 2y.
Explanation:
The question is asking us to find the values of x and y in a parallelogram DEFG, where we know the lengths of some segments inside the parallelogram, specifically DH, HF, GH, and HE. As properties of a parallelogram dictate that opposite sides are equal in length, and segments DH and HF form one side, while segments GH and HE form the opposite side, we conclude that DH + HF must equal GH + HE.
Setting up the equation (x + 2) + (2y) = (4x - 3) + (4y + 1), we combine like terms, which gives us x + 2y + 2 = 4x + 4y - 2. Upon further simplification, by subtracting x and 2y from both sides, we get 4 = 3x + 2y. This equation allows us to express one variable in terms of the other.
Finding a specific value for x and y would require additional information, such as another equation involving x and y to solve this system of equations. Without this, we are limited to only expressing one variable in terms of the other.
Which of the following tables shows the correct steps to transform x2 + 8x + 15 = 0 into the form (x − p)2 = q? [p and q are integers] (5 points) Step 1 x2 + 8x + 15 − 2 = 0 − 2 Step 2 x2 + 8x + 13 = −2 Step 3 (x + 4)2 = −2 Step 1 x2 + 8x + 15 − 1 = 0 − 1 Step 2 x2 + 8x + 14 = −1 Step 3 (x + 4)2 = −1 Step 1 x2 + 8x + 15 + 2 = 0 + 2 Step 2 x2 + 8x + 17 = 2 Step 3 (x + 4)2 = 2 Step 1 x2 + 8x + 15 + 1 = 0 + 1 Step 2 x2 + 8x + 16 = 1 Step 3 (x + 4)2 = 1
The correct steps are:
start with
[tex]x^2+8x+15=0[/tex]
Add 1 to both sides:
[tex]x^2+8x+16=1[/tex]
The left hand side is a perfect square:
[tex](x+4)^2=1[/tex]
Answer:
Option D
Step-by-step explanation:
The given expression is x² + 8x + 15 = 0
We have to solve it further to transform into the form ( x - p )² = q
x² + 8x + 15 = 0
[ x² + 8x + 15 ] + 1 = 0 + 1
x² + 8x + 16 = 1
( x + 4 )² = 1
Option D is the answer.
Any good mathematicians out there that would help me understand this concept?
Please please...explain
The correct answer is (D) because 3 multiple 1/3, the 3 go with 3 and we get the 1. And 9 multiple 1/3, the 9 go with 3 and we will go 3 multiple 1 and we will get 3.
The following dot plot shows how many pets each customer owned before entering Jeremy's Pet Store today. Each dot represents one customer.
Based on this data, what is a reasonable estimate of the probability that the next customer to enter Jeremy's Pet Store has exactly 333 pets?
Choose the best answer.
Choose 1 answer:
Choose 1 answer:
Answer:
c
Step-by-step explanation:
Probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets is 0.23.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a dot plot shows how many pets each customer owned before entering Jeremy's Pet Store today.
Based on this data we need to find the reasonable estimate of the probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets.
The total number of customer enter Jeremy's Pet Store is 13.
Probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets= 3/13
=0.23
Hence, Probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets is 0.23.
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Find the cubed root of 512
Answer:
The cube root of 512 is 8
Step-by-step explanation:
The cube root of a number is expressed in radical form as;
[tex]\sqrt[3]{x}[/tex]
Using exponents, the above expression is equivalent to;
[tex]x^{\frac{1}{3}}[/tex]
512 can be expressed as;
2*2*2*2*2*2*2*2*2
This is equivalent to;
[tex]2^{9}[/tex]
Therefore;
[tex]512^{\frac{1}{3} }=(2^{9})^{\frac{1}{3} }=2^{3}=8[/tex]
The cube root of 512 is thus 8
Answer:
8
Step-by-step explanation:
8 into 8 into 8 is 512. b. NN n. NN
The area of the triangle is 3ft2. The height of the triangle is 2ft and the base of the triangle is ft
Answer: 3
Step-by-step explanation: 1/2 times, the height which is 3 and times 2 equals the base which is 3.
What is the area of parallelogram
H=4 in b=7 in
Answer:
A = 28 in²
Step-by-step explanation:
Equation for the area of a parallelogram: A = b * h
Plug in: A = 7 in * 4 in
Solve: A = 28 in²
Answer:
its 28
Step-by-step explanation:
The point (-2, 5) is located in quadrant
Answer: (-2, 5) Quadrant II
Step-by-step explanation:
For every point in the plane, we will identify the location using an ordered pair of the form (x, y).
The first coordinate, the x-coordinate, will refer to the number which corresponds with the point's horizontal location as determined by the number on the x-axis.
The second coordinate, the y-coordinate, will refer to the number which corresponds with the point's vertical location as determined by the number on the y-axis.
Quadrant II: x-coordinate is negative and y-coordinate is positive.
[tex]\textit{\textbf{Spymore}}[/tex]
The point (-2, 5) is located in the second quadrant.
What is the quadrant?A quadrant is a region defined by the two axes (x-axis and y-axis) of the coordinate system.
Given the location of Point A at (-2, 5):
This implies that x = -3 and y = 5 represent the coordinates of Point A. In reference to the Coordinate Plane:
Quadrant I (x, y): This quadrant comprises positive x- and y-values.Quadrant II (-x, y): This quadrant comprises negative x-values and positive y-values.Quadrant III (-x, -y): This quadrant comprises negative x- and y-values.Quadrant IV (x, -y): This quadrant comprises positive x-values and negative y-values.Since the coordinates of point A is (-2, 5), this matches the description of the points located in Quadrant II.
Therefore, the point (-2, 5) is located in the second quadrant.
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Which expression is equivalent to
Step-by-step explanation:
[tex]\log_{12}\left(\dfrac{\frac{1}{2}}{8w}\right)=\log_{12}\left(\dfrac{1}{16w}\right)\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\=\log_{12}(16w)^{-1}\qquad\text{use}\ \log_ab^n=n\log_ab\\\\=-1\log_{12}(16w)\qquad\text{use}\ \log_a(bc)=\log_ab+\log_ac\\\\=-\left(\log_{12}16+\log_{12}w\right)=-\log_{12}2^4-\log_{12}w\qquad\text{use}\ \log_ab^n=n\log_ab\\\\=-4\log_{12}2-\log_{12}w[/tex]
Help me answer this question please
Answer:
Step-by-step explanation:
f⁻¹(x) is the inverse of f(x).
y = 4x − 9. To find the inverse, switch x and y and solve for y.
x = 4y − 9
x + 9 = 4y
y = (x + 9) / 4
So the inverse function is:
f⁻¹(x) = (x + 9) / 4
ANSWER
[tex]{f}^{ - 1}(x) = \frac{x + 9}{4} [/tex]
EXPLANATION
The given function is
f(x)=4x-9
Let
y=4x-9
Interchange x and y.
x=4y-9
Add 9 to both sides,
x+9=4y
Divide both sides by 4
[tex] \frac{x + 9}{4} = y[/tex]
[tex]y = \frac{x + 9}{4} [/tex]
Therefore,
[tex] {f}^{ - 1}(x) = \frac{x + 9}{4} [/tex]
Determine the area of the composite figure to the nearest whole number
Check the picture below.
so, let's notice, is really just a 2x20 rectangle with a quarter of a semicircle with a radius of 11.
[tex]\bf \stackrel{\textit{area of a circle}}{A=\pi r^2}~~ \implies A=\pi 11^2\implies A=121\pi \implies \stackrel{\textit{one quarter of that}}{\boxed{A=\cfrac{121\pi }{4}}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\underline{\textit{area of the figure}}}{\stackrel{\textit{rectangle's area}}{(2\cdot 20)}+\stackrel{\textit{circle's quart's area}}{\cfrac{121\pi }{4}}\qquad \approx \qquad 135.03\implies \stackrel{\textit{rounded up}}{135}}[/tex]
Answer:
i think its A
Step-by-step explanation:
You are packaging expansion packs for the game of checkers. The table below lists the number
of each part needed per expansion pack, as well as the number of each part that you have
available.
_
- "Let's see how many packs of each item we can make and what's left over. That's the remainder.
287 = 6(287/6) = 6(47) + 5
143 = 3(143/3) = 3(47) + 2
341 = 7(341/7) = 7(48) + 5
So on that 48th pack we have 5 people markers so need 1 more and 2 dice, so we need one more. We have enough teleport markers for the 48th pack.
Choice A."
The following table gives the apples eaten in a week and the times sick in the year of 10 friends:
Describe the correlation between the apples eaten per week and the times sick per year.
Answer:
The correlation coefficient is 0 which implies no association between the number of apples eaten per week and the times sick in a year.
Step-by-step explanation:
The correlation coefficient between paired data gives information on the strength and the direction of the relationship between the paired data sets. The coefficient of correlation can imply strong or weak association as well as positive or negative association between data sets.
In the data given, the number of apples eaten per week can be used to explain the number of times an individual falls ill per year. This implies that the number of apples eaten per week is our explanatory or independent variable while times sick in a year is our response or dependent variable.
We can use Ms.Excel to compute the correlation coefficient between these two variables;
The first step is to enter the data in two adjacent columns in an excel workbook. We then type;
=CORREL
In an empty cell and enter the data arrays. This is an in-built function that computes the correlation coefficient.
Ms. Excel returns a correlation coefficient of 0. The correlation coefficient of 0 implies no association between the number of apples eaten per week and the times sick in a year.
the Drama club is running a lemonade stand to raise money for it's new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2 each and bottles of water sell for $1.50 each. The club needs to raise at least $500 to cover the cost of renting costumes. The students can accept a maximum of 360 cans and bottles.) Write a system of inequalities that can be used to represent this situation.) quick please I'm being timed
Answer:
Here's what I get.
Step-by-step explanation:
You have two conditions.
1. The club must raise at least $500, and that comes from the sale of lemonade and water.
Let c = cans of lemonade
and b = bottles of water
Then the first condition is
(1) 2c + 1.50b ≥ 500
2. The club can accept a maximum of 360 cans and bottles
Your second condition is
(2) c + b ≤ 360
Your system of inequalities is
[tex]\left[ \begin{array}{rcl}2c + 1.50b & \geq & 500\\c+b & \leq&360\\\end{array}\right][/tex]
Mike wants to paint one wall of his room.
The wall measures 12 feet by 9 feet. On the
wall is one square window that measures 4
feet on each side. Which of the following best
describes the number of square feet Mike will
paint?
Answer:
92 squre feeeet you willllll paintttttttttttttttttttttt
Step-by-step explanation:
estimations please!! asap (22 points)
Answer:
1) 15/32
2) 2
Step-by-step explanation:
1) 3 /8 / 5/4
= 3 · 5 /8 · 4
= 15 /32
2) 4/5 * 2 1/2
First solve --> 2 1/2 = 2 · 2 + 1 /2
= 5 /2
Then solve: 4 /5 * 5 /2
= 4 · 5 /5 · 2
= 20 /10
= 2 · 10 /1 · 10
= 2
Solve.
x2 + x – 6 = 0
{2, –3}
{6, –1}
{3, –2}
{2, 3}
Answer:
x = - 3, x = 2
Step-by-step explanation:
Given
x² + x - 6 = 0 ← in standard form
To factorise the quadratic
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)
The factors are + 3 and - 2, since
3 × - 2 = - 6 and 3 - 2 = + 1, hence
(x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
A pile of sand has a weight of 90kg.
The sand is put into a small bag, a medium bag and a large bag in the ratio 2 : 3: 7
Work out the weight of sand in each bag.
Small bag:
medium bag:
large bag:
Total Weight of sand =90Kg
Ratio in which sand is divided= 2:3:7
Let x be the fundamental unit in which the sand is divided.
By conservation of mass.
2x +3x + 7x= 90
=> 12x =90
=> x=90/12 =45/6=15/2=7.5
So Amount of sand in small bag=2×7.5=15Kg
Amount of sand in medium bag =3×(7.5)=23.5Kg
Amount of sand in Large bag =7×(7.5)=52.5 Kg
Hope it helps...
Regards;
Leukonov/Olegion.
Add the ratios to find the total shares:
2 + 3 +7 = 12
Divide the total weight by the number of shares:
90 kg/ 12 =7.5 kg per share.
Now multiple each share by the weight per share:
Small = 2 x 7.5 = 15 kg
Medium = 3 x 7.5 = 22.5 kg
Large = 7 x 7.5 = 52.5 kg
What is the difference? -6-(11)
Answer: [tex]=-17[/tex]
Step-by-step explanation:
The first thing you must remember is the mulplication of signs. You know that:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]
You can observe that the number inside the parentheses is positive (+) and the sign that is outside the parentheses is negative (-), therefore, when you multiply these signs you get a negative sign (-). Then you get:
[tex]-6-(11)=-6-11[/tex]
Now, you need to add these numbers. And the result obtained is:
[tex]=-17[/tex]
Answer:
It’s -17
Step-by-step explanation:
I just got it right in the quiz
Which of the following statements is true?
Answer: OPTION D
Step-by-step explanation:
We know that the function [tex]y=log(x)[/tex] is not defined for values of x less or equal than zero, therefore its domain is [tex](x|x>0)[/tex] and the range is all real numbers.
In this case we have the function [tex]y=log(x-2)+1[/tex], then [tex]x-2[/tex] must be greater than zero.
Then:
[tex]x-2>0\\\\x>2[/tex]
Therefore, the domain of the function is:
[tex]x>2[/tex] or [tex](2, \infty)[/tex]
And the range is:
All real numbers.
Answer:
the answer is D the other guy was right i just tried it.
Step-by-step explanation:
A $4,500 savings account earns $540 in interest. What is the percent of increase on the original value? Show work please
540:4500*100 =
(540*100):4500 =
54000:4500 = 12%
Find the average of these numbers to the nearest whole number. 516,497,501,528,476
Answer:
504
Step-by-step explanation:
To find the average of a series of numbers one must add them all then divide by the amount of numbers.
So....
516+497+501+528+476= 2,518
then...
2,518/5 = 503.6
6> 5 so you would round UP
ROUNDED : 504
June and Stella can each create six floral arrangements in one hour. If they take in 372 Valentine’s Day orders, how many hours will they need to fulfill them?
June and Stella can together create 12 floral arrangements per hour. To fulfill 372 orders, they would need to work for 31 hours.
Explanation:This problem is solved by calculating the combined rate of work of June and Stella and then using this to calculate the time it will take to complete the orders. June and Stella can create a total of 12 floral arrangements per hour (6 arrangements each). Therefore, to complete 372 orders, they would need 372 divided by 12 hours.
To perform this calculation, divide 372 by 12:
372 ÷ 12 = 31 hours
So, June and Stella would need 31 hours to complete 372 Valentine’s Day floral arrangements if they work together at their current rate.
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June and Stella will need 31 hours to fulfill the 372 Valentine's Day orders.
Explanation:To find out how many hours June and Stella will need to fulfill the orders, we can use the concept of unit rates. We know that June and Stella each create 6 floral arrangements in 1 hour. So together, they can create 12 floral arrangements in 1 hour. Now, we can set up a proportion using the given information: 1 hour is to 12 floral arrangements as x hours is to 372 floral arrangements. This can be written as: 1/12 = x/372. To solve for x, we can cross-multiply: 12x = 372. Dividing both sides by 12 gives us x = 31. Therefore, June and Stella will need 31 hours to fulfill the 372 orders.
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The cube of a number divided by two
The cube of a number (n) divided by two can be mathematically represented as n³/2.
Explanation:The cube of a number is achieved when you raise that number to the power of 3. If we have a number, let's denote it as 'n', and we cube it, and we get n³. Now, if you are to divide the cube of a number by two, the formula would be n³/2. For example, if n = 2, the cube of 2 is 8, divided by two equals 4.
The cube of a number divided by two means that you take a number raise it to the power of 3, and then divide the result by 2. For example, if the number is 4, the cube of 4 is 4 × 4 × 4 = 64. Dividing 64 by 2 gives you a result of 32.
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Which ordered pair is a solution of this equation? -7x - 5y = 42
(-5,0)
(0,-5)
(0,-6)
(-6,0)
(-6,0) is the ordered pair for this solution, you might want to double check though
-6,0 is the answer just substitute the numbers and boom
Jesse is baking several cakes for a bake sale. A pound bag of flour is enough to make 4 cakes. How much flour is needed to make 1 cake?
Answer:
4 ounces of flour will make 1 cake.
Step-by-step explanation:
16 ounces = 1 pound
16 ounces divided by 4 cakes = 4 ounces for 1 cake
Jesse needs ⅔ pound or 0.125 pounds (2 ounces) of flour to make one cake, calculated by dividing the half-pound bag of flour by the number of cakes it can produce (4 cakes).
Explanation:Jesse is baking cakes for a bake sale and needs to know how much flour is needed for one cake.
From the information provided, we know that a ½ pound bag of flour is enough to make 4 cakes.
To determine how much flour is needed for one cake, we use a simple division.
To find the amount of flour per cake, we divide the total amount of flour by the number of cakes that can be made from it. That gives us:
½ pound flour ÷ 4 cakes = ⅔ pound flour per cake.
Therefore, Jesse needs ⅔ pound (which is 0.125 pounds or 2 ounces) of flour to make one cake.