Answer:
slope of a line parallel to this line= -3/8
slope of a line perpendicular to this line= 8/3
Step-by-step explanation:
The general equation of a line in terms of a and b is:
y=ax+b where a=slope
in order to get the slope of the line we have to write its equation as the form shown above:
3x+8y=1
8y= -3x+1
y= (-3/8)x+(1/8)
so slope= -3/8
Parallel lines have equal slopes
⇒ slope of parallel line= -3/8
The slope of the line perpendicular to another line is the opposite reciprocal of the original line's slope. This means that we have to exchange the numerater by the denomenator and multiply the obtained number by a negative sign:
⇒ slope of perpendicular line= -(-8/3) = 8/3
what is the mode of 250,100,75,200,150,100
Answer:
100
Step-by-step explanation:
because 100 showed twice more then the others
Answer:
To find the mode of this question. You look for the number that showed up the most out of the values given. In this case you answer is 100.
Step-by-step explanation:
state the rule obeyed by the variables in each relation diagram below
Answer:
y = 2x + 1
Step-by-step explanation:
You can see a pattern in the group of x's that the numbers go up by 1 Also in the y-set that the numbers go up by 2. So this pattern is linear, that means the "rule" you are looking for does not have exponents or square roots or any very complicated stuff. You can use a guess and check method. Say to yourself how can I get a 7 out, when I put a 3 in? "times by2 and plus 1" works.
3 times 2, and plus1
gives you 7.
Test it on the other numbers.
-1 times2, and plus1
2(-1)+1 = -1
2(0)+1 = 1
2(1)+1 = 3
2(2)+1 = 5
It works for all the numbers.
You can calculate it also, using any two pairs of (x,y) from the data set. Put y-y on top of a fraction and x-x on the bottom. You will get the slope and that is the 2 in the "rule"
(3,7) and (2,5) for example. 7-5 so put 2 on top and 3-2 so put 1 on the bottom. 2/1 is just 2. From the point (0,1) we know the y-intercept is 1. This also gives the equation y=2x+1.
If you are just starting to learn this, probably just guess and check a rule. The rule has to work for all the points.
Tyler bought a wedge. He measured the arc length of the wedge to be 12 centimeters and the radius to be 8 centimeters. Priya bought a wedge that came from a circular cheese block with radius 9 centimeters. The block was cut into 6 congruent sectors. Whose wedge is larger? Explain or show your reasoning.
The wedge is an illustration of arc lengths, and Tyler's ledge is larger than Priya's wedge
How to determine the larger wedge?From the question, the arc length of Tyler's wedge is:
L = 12 cm
For Priya's wedge, we have the following highlights:
Radius = 9 cm
Angle = 60 degrees i.e. the angle when a circle is divided into 6 sectors
Priya's arc length is then calculated as:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
This gives
[tex]L = \frac{60}{360} * 2 * 3.14 * 9[/tex]
Evaluate
L = 9.42
By comparing the arc lengths 9.42 and 12 cm, we have 12 cm > 9.42 cm
Hence, Tyler's ledge is larger than Priya's wedge
#SPJ1
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Which of the following cosine functions has a period of 3π?
y = 3cos x
y = cos3 x
y = 1/3 cos x
y = cos 2/3 x
Answer:
y = cos 2/3 x
Step-by-step explanation:
Find the area of the given triangle. Round your answer to the nearest tenth.
A right triangle with a base of 36. The angle of elevation is 25 degrees.
Group of answer choices
302.2 units squared
1 comma 389.6 units squared
766.6 units squared
Using relations in a right triangle, it is found that it's area is of 302.2 units squared.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.In this problem, we have that the opposite side to the angle of 25º is of x, while the adjacent side is of 36, hence:
[tex]\tan{25^\circ} = \frac{x}{36}[/tex]
[tex]x = 36\tan{25^\circ}[/tex]
x = 16.79.
What is the area of a right triangle?It is given by half the multiplication of it's sides, hence:
A = 0.5 x 16.79 x 36 = 302.2 units squared.
More can be learned about relations in a right triangle at https://brainly.com/question/26396675
please help asap tysm <3
Answer:
9:20 AM
Step-by-step explanation:
they spend 4 hours in total doing activities
We get this value by adding up all the time spent
1:30pm - 4 hours =
9:20 AM
Order the steps to solve the equation
log(x^2-15)= log(2x) form 1 to 5
x^2-2x-15=0
Potential solutions are -3 and 5
x^2-15=2x
x-5=0 or x+3=0
(x-5)(x+3)=0
Answer:
Step-by-step explanation:
When the base of a logarithm is not specified, it is assumed that the base is 10. Therefore we have:
[tex]log_1_0(x^2-15)=log_1_0(2x)[/tex]
Intuitively you can see that if the two arguments inside of the logarithm equal each other, then both sides will be equal to each other. Therefore, you can say the following requirement:
[tex]x^2-15=2x[/tex]
Subtract 2x on both sides to get:
[tex]x^2-2x-15=0[/tex]
Use the quadratic formula to solve for 'x' to get:
[tex]x=(-b+\sqrt{b^2-4ac} )/2a[/tex]
[tex]x=(-b-\sqrt{b^2-4ac} )/2a[/tex]
Beginning with the first solution:
[tex]x=(-(-2)+\sqrt{(-2)^2-4(1)(-15)} )/2(1)[/tex]
[tex]x=2+\sqrt{4+60} )/2[/tex]
[tex]x=(2+\sqrt{64}) /2[/tex]
[tex]x=(2+8)/2[/tex]
[tex]x=5[/tex]
Second solution:
[tex]x=(-(-2)-\sqrt{(-2)^2-4(1)(-15)} )/2(1)[/tex]
[tex]x=(2-\sqrt{4+60} )/2[/tex]
[tex]x=(2-8)/2[/tex]
[tex]x=-6/2[/tex]
[tex]x=-3[/tex]
Since the 'x' value inside of the logarith is squared, the -3 is a valid solution. Ordinarily, the log function cannot take on negative values.
If a florist uses 10 red roses in a bouquet , how many white roses did she use?
Answer:
2 white roses.
A dozen is 12.
12-10 red roses = 2 white roses
Step-by-step explanation:
Answer:
she used 2 white rose
Step-by-step explanation:
12 is a dozen so 12-10 is 2 white roses
Hope this helps :)
It says "write the fraction in the simplest form." i want the answer, the fraction is '27/36'
Answer:
3/4
Step-by-step explanation:
Find each real root.
Answer:
Step-by-step explanation:
I'm assuming the 7 is the question number.
The cube root is -2. There is only 1 real root.
You could find it this way. ∛(-8) = ∛-2 * - 2 * - 2
The rule for cube roots when the number has 3 roots that are the same is to take one outside the ∛ sign and discard the other 2.
-2 ∛1 The cube root of one is one.
help please this is hardddddddd
Answer:
#1: 4) D
#2: 1) 34.89 = 3 × C
#3: 4) 6y + 18
Step-by-step explanation:
#1
Using the distributive property:
3 × 5z = 15z
3 × -3 = -9
The correct expression is 15z - 9. Hence, D is the right option.
#2
You need to find the cost of each box.
3 × C = 34.89
34.89 ÷ 3 = 11.63
3 × 11.63 = 34.89
Hence, 1) is the right option.
#3
Using the distributive property:
6 × y = 6y
6 × 3 = 18
The expression is 6y + 18. Hence, 4) is the right option.
hope this helps!! p.s. i really need brainliest :)
Answer:
1. #4, D
2. #1, 34.89 = 3 x c
3. #4, 6y + 18
Step-by-step explanation:
1. Which pair of expression are equivalent (=)?
A.
10c + 20 = 5(5c + 4) <== distribute
10c + 20 = 25c + 20
This pair is not equivalent
B.
3(4e - 2) = 7e - 5 <== distribute
12e - 6 = 7e - 5
This pair is not equivalent
C.
4(4h + 6) = 16 + 24 <== distribute
16h + 24 = 16 + 24
This pair is not equivalent (look carefully, it's missing an h)
D.
15z - 9 = 3(5z - 3) <== distribute
15 - 9 = 15z - 3
This pair is equivalent
Therefore, the correct answer is D
2. Mr. James bought 3 boxes of pencils for $34.89. Each box of pencils costs the same. Which equaiton can be used to find the cost, c, of each box?
We know that 3 boxes of pecils cost $34.89, and c represents the cost of one box. If c represents the cost of one box and there are 3 boxes, it would be 3c or 3 x c.
Looking at the answer choices, #1 is the only option that represents that.
Therefore, the correct answer is 1) 34.89 = 3 x c
3. Aidan wrote an expression 6(y + 3). Which expression is equivalent to the one Aidan wrote?
6(y + 3) <== distribute
6y + 18
Therefore, the answer is 4) 6y + 18
Hope this helps!
Find the missing number
What number Am I?
Elmo wants answers
Answer:
20
Step-by-step explanation:
Since it's a multiple of 5 between 18 and 30, possible answers are:
20 and 25
The GCF of 18, 36, and the number is 2, and 25 is not divisible by 2, leaving only 20.
please help me? tysm!!!!!!!
Answer:
Round 55.99 to the nearest tenth is: 56.0
We have 2 1/3 cup of peanut butter. We are making peanut butter sandwiches. If we put 1/16 cup of peanut butter on each sandwich, how many complete/whole peanut butter sandwiches can we make?
The fraction computed shows that the number of peanut butter sandwiches that can be made will be 14.
How to compute the fraction?From the information given, it was stated that there are 2 1/3 cup of peanut butter and that they put 1/16 cup of peanut butter on each sandwich.
Therefore, the number of peanut butter sandwiches that can be made will be:
= 2 1/3 ÷ 1/6
= 7/3 × 6/1
= 14
In conclusion, the correct option is 14.
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How would you expand log412 so that it can be evaluated, given log43 ≈ 0.792? Log Subscript 4 Baseline 3 times log Subscript 4 Baseline 4 StartRoot a squared + b squared EndRoot log 3 + log 4 log Subscript 4 Baseline 3 + log Subscript 4 Baseline 4 log 3 times log 4
Answer: log412 = 1.792
Step-by-step explanation:
log412 = log4(3 x 4)
log4(3 x 4) = log4(3) + log4(4)
log4(4) = 1
log4(3) = .792
1 + .792 = 1.792
log412 = 1.792
Which statement is true about the given function
Since spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes out every day and computes the average number of leaves on a sample of trees. He created a scatter plot where the y-axis represents the average number of leaves on the trees, and the x-axis represents the number of weeks since spring started. Use the 2 given points to write a linear equation that can be used to approximate the data distribution.
Answer:
y = 1566.67x + 1716.67
is the actual answer..
The linear equation that can be used to approximate the data distribution is y = 1566.67x + 1716.67.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Given two points on the line.
(0.5, 2500) and (3.5, 7200)
Slope intercept form of a linear equation is y = mx + c, where m is the slope and c is the y intercept.
Slope = (7200 - 2500) / (3.5 - 0.5)
= 4700 / 3
= 1566.67
So the equation is, y = 1566.67x + c
Substitute the point (0.5, 2500) to the equation.
2500 = (1566.67 × 0.5) + c
c = 1716.67
So the equation is, y = 1566.67x + 1716.67
Hence the required equation is y = 1566.67x + 1716.67.
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#SPJ2
Find five pairs of integers with a sum of -6
Answer:
-5, -1
-9, 3
5, -11
-8, 2
-18, 12
Step-by-step explanation:
Answer:
_8 2. c. bbx. hx xhdj audiovisual audible Suffolk erudition Ayrshire Ysidro rump sidi ecru his
Read the short selection and answer the questions from 11 to 16. Ann, Bill, Carl, and Dan work in the same office building. Dan works in the basement while Ann, Bill, and Carl share an office on level X. At any given moment of the day, they are all typing at their desks. Bill likes a window seat; Ann likes to be near the bathroom; and Carl prefers a seat next to the door. Their three cubicles do not line up.
__________________.
Answer:
can you add more context to the question it makes no sense with current given clues
DARIO is a regular pentagon, RIP is an equilateral triangle, and EIOU is a square.
The area of the shaded region will be equal to the (area of the hexagon - area of pentagon) + (area of a square - area of equilateral triangle).
How to explain the shape?From the complete question, the area of the shaded region 1 will be:
= Area of regular hexagon - Area of regular pentagon
The shaded region 2 will be:
= Area of a square - Area of equilateral triangle
Therefore, the area of the shaded region will be equal to the (area of the hexagon - area of pentagon) + (area of a square - area of equilateral triangle).
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Is this correct please give correct answer but no links
Answer:
I give answers I think their correct but as humans we make mistakes so there may be errors
Calculate the perimeter of the shape below. Show your work.
Answer:
88 ft
Step-by-step explanation:
The perimeter of a shape is the sum of the lengths of all its sides.
Perimeter of rectangle
= 2(length +breadth)
= 2(18 +26)
= 2(44)
= 88 ft
I NEED THIS ANSWER IN THE NEXT 10 MINUTES
Answer:
D
Step-by-step explanation:
Consecutive integers are integers with the progression n, n+1, n+2 (EXAMPLE)
Since w, x, y are consecutive integers, that means w, w+1, w+2; x = w+1, y = w+2
By referring to D,
w + x + y = w + w+1 + w+2
= 3w + 3
Hence, D is true.
Answer:
D
Step-by-step explanation:
A is wrong because if w is -1, x is 0, and y is 1, then wy is negative.
B is wrong because if w is -1, x is 0, and y is 1, then -1 + 1 = 0, which is x.
C is wrong because if w is -1, x is 0, and y is 1, then w³ + 3 = -1 + 3 = 2, which is greater than w + x + y which is 0.
D is correct because w + x + y is always equal to 3w + 3. For example, if w is 1, x is 2, and y is 3, then w + x + y = 6. 3w + 3 = 3(1) + 3 = 6.
E is wrong because if w is 1, x is 2, and y is 3, then wx is 2 and xy is 6, which means xy is greater than wx.
I hope this helps and please mark me as brainliest!
what is the equation of the line that hasthe solution "-2" and 4
Answer:
First you need to find the slope: (y2 - y1)/(x2 -x1) = (-4 -(-4))/(0-2) = 0. So the line is horizontal, which means the y coordinate is constant and equal to -4, so the equation of the line is y = -4.
Step-by-step explanation:
since both points have a y value of -4 you could have jumped directly to y = -4
Find the surface area of this figure.
Answer: 297 in.^2
Step-by-step explanation:
Area of a triangle: b*h/2 ---> (9*12)/2=544 triangles--->4*54(area of triangle)= 216Area of square: b*h ----> 9*9 = 81Add area of all four triangles plus are of square-----> 216+81 = 297 in.^2
can someone please help me with this question
Answer: I think its D
Step-by-step explanation:
Karly borrowed $6,200 from her parents for 4 years at an annual simple interest rate of 2.8%. How much interest will she pay if she pays the entire loan at the end of the fourth year?
Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.
Answer:
$724.11
Step-by-step explanation:
This requires the use of the growth formula.
Growth Formula:
[tex]y = a*(1+r)^x[/tex]
y = total/answer
a = starting value
r = rate (1.25 = 25%)
x = the amount of time (years/months)
Equation:
[tex]y = 6200 * (1+0.028)^4[/tex]
Solving:
y = $6924.11
$6924.11 - $6200 = total interest
$724.11
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$6200\\ r=rate\to 2.8\%\to \frac{2.8}{100}\dotfill &0.028\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (6200)(0.028)(4)\implies I=694.4[/tex]
25 PTS Help pls
If a single card is drawn from a standard 52-card deck, what is the probability it is a diamond or a face card (Jack, Queen, or King)?
A. 11/26
B. 2/7
C. 1/4
D. 2/52
Using it's concept, it is found that the probability that the card is a diamond or a face card is given by:
D. 25/52
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
A standard deck has 52 cards, of which 13 are diamond and 12 are face, hence:
p = (13 + 12)/52 = 25/52.
Which means that option D(25/52) is correct.
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PLEASE HELP IM SO CONFUSED
Which of the following is a solution for the inequality 2x < 9?
OX= 5.5
O x= 4.5
O x = 6
OX= 4
I think answer is 4
Step-by-step explanation:
I think so the answer is 4 because the questoin is 2x <9 2 time x =the answer and 2 times 4 = 8 and it is smaller than 9 and if we will do the same with the other numbers it will be greter than 9
solution:
2 x < 9
x = 4
2 × 4 = 8
and it is smaller than 9
like this :
8 < 9
this is what I think other wise I am not sure thankyou