Answer:
[tex]y = -0.25x -1.5[/tex]
Step-by-step explanation:
Given
[tex](x,y) = \{(-12,1.5)(-1,-1.25),(5,-2.75),(8,-3.5)\}[/tex]
Required
The function rule (in slope intercept)
First, we calculate the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{-1.25 -1.5}{-1 - -12}[/tex]
[tex]m = \frac{-2.75}{11}[/tex]
[tex]m = -\frac{2.75}{11}[/tex]
[tex]m = -0.25[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = -0.25(x - -12) + 1.5[/tex]
[tex]y = -0.25(x +12) + 1.5[/tex]
Open bracket
[tex]y = -0.25x -3 + 1.5[/tex]
[tex]y = -0.25x -1.5[/tex]
Ashish is 175 cm tall his sister Annu is 8% shorter than him what is Annu's height
pls help
Answer:
8% out of 175 = ( 8 ÷ 100 ) × 175 = 14
175 cm - 14 = 161 cm
...............
If you help me, you will get this cookie
Answer:
B. 7y - 15
Step-by-step explanation:
Simplifying
10y + -3(y + 5) = 0
Reorder the terms:
10y + -3(5 + y) = 0
10y + (5 * -3 + y * -3) = 0
10y + (-15 + -3y) = 0
Reorder the terms:
-15 + 10y + -3y = 0
Combine like terms: 10y + -3y = 7y
-15 + 7y = 0
Solving
-15 + 7y = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 7y = 0 + 15
Combine like terms: -15 + 15 = 0
0 + 7y = 0 + 15
7y = 0 + 15
Combine like terms: 0 + 15 = 15
7y = 15
Divide each side by '7'.
y = 2.142857143
Simplifying
y = 2.142857143
Answer:
b. 7y-15
Step-by-step explanation:
First, write out the expression
1. [tex]10y-3(y+5)[/tex]
To simplify the expression distribute the -3 to the terms within the paratheses.
2. [tex]10y-3y-15[/tex]
Then, combine like terms to simplify further. Since 10y and -3y are like terms they can be subtracted
3. [tex]7y-15[/tex]
This means that B is the correct answer.
If a wheel has a radius of 5cm
how much is one rotation of the wheel
How many rotations can the wheel do within a distance of 50km
Answer:
circumference = 2*PI*radius
circumference = 2 * PI * 5 cm
circumference = 31.4159265358979 cm
50 km = 500,000 centimeters
rotations = 500,000 / 31.4159 cm
15,915.51 rotations
Step-by-step explanation:
Solve inequality problem (urgent help please)
Answer:
B
Step-by-step explanation:
|3m-2|=>1
1 <= 3m-2 or 3m-2 <= -1
3 <= 3m or 3m <= 1
1 <= m or m <= (1/3)
solve for x.
solve for x.
solve for x.
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
A secant is a line segment that intersects a circle in two places. One property of a secant is the product of the lengths ratio. This ratio can be described as the following, let ([tex]inside[/tex]) refer to the part of the secant that is inside the circle, and ([tex]outside[/tex]) refer to the part that is outside of it. ([tex]total[/tex]) will refer to the entirety of the secant or ([tex]inside+outside[/tex]). The numbers (1) and (2) will be used as subscripts to indicate that there are two different secants.
[tex](outside_1)(total_2)=(outside_2)(total_2)[/tex]
Substitute,
[tex](outside_1)(total_2)=(outside_2)(total_2)[/tex]
[tex](outside_1)(inside_1+outisde_1)=(outside_2)(inside_2+outside_2)[/tex]
[tex](6)(6+x+5)=(7)(7+x+1)[/tex]
Simplify,
[tex](6)(6+x+5)=(7)(7+x+1)[/tex]
[tex]6(x+11)=7(x+8)[/tex]
[tex]6x+66=7x+56[/tex]
Inverse operations,
[tex]6x+66=7x+56[/tex]
[tex]66=x+56[/tex]
[tex]10=x[/tex]
The data set represents the total number of pencils each student in a class needs to sharpen.
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
Which box plot correctly represents the data?
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 3.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.
Given:
The data set is:
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
To find:
The correct statement that represents the box plot of the data correctly.
Solution:
We have,
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
Divide the data in 2 equal parts.
(0, 1, 1, 1, 2), 3, (4, 4, 6, 6, 9)
Divide each parenthesis in 2 equal parts.
(0, 1), 1, (1, 2), 3, (4, 4), 6, (6, 9)
Here,
Minimum value = 0
First quartile = 1
Median = 3
Third quartile = 6
Maximum value = 9
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.
Therefore, the correct option is D.
Answer:
its d
Step-by-step explanation: my yt Tray Clayps
This year, a small business had a total revenue of $42,900 . If this is 35% less than their total revenue the previous year, what was their total revenue the previous year?
if this value 35% less than the total, we conclude that:
42,900 = 65%
1% = 660
100% = 66,000
if you want to check the value, just do 65% of 66000, which equals to 42,900
hope it helps :)
binomial expansions for clever cookies
The answers are in the red rectangles with the work.
Let me know if something is unreadable.
find x
2 ^30 divided by 8^9= 2x
Answer:
see below
Step-by-step explanation:
2^30
-------
8^9
Rewriting
8^9
2^3 ^ 9
We know a^b^c = a^(b*c)
2^(3*9) = 2^27
2^30
-------
2^27
We know a^b / a^c = a^(b-c)
2^(30-27) = 2^3
Assuming you mean 2^x
2^3 = 2^x
x=3
If you mean 2x
2^3 = 8
8 = 2x
Divide by 2
4 =x
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{2^{30}}{8^9}=2x}[/tex]
[tex]\mathsf{2^{30}}\\\mathsf{= \bf 1,073,741,824}\\\\\mathsf{8^9}\\\mathsf{= \bf 134,217,728}[/tex]
[tex]\mathsf{\rightarrow \dfrac{1,073,741,824}{134,217,728}= 2x}\\\\\\\mathsf{\dfrac{1,073,741,824}{134,217,728}= \bf 8}\\\\\\\mathsf{\rightarrow \ 8 = 2x}\\\\\\\\\large\textsf{TURN\ the\ EQUATION\ around}\\\\\\\mathsf{\rightarrow\ 2x = 8}\\\\\\\large\textsf{DIVIDE 2 to BOTH SIDES}\\\\\\\mathsf{\dfrac{2x}{2}=\dfrac{8}{2}}\\\\\\\large\textsf{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\textsf{ because it gives you 1}\\\\\\\large\textsf{KEEP: }\mathsf{\dfrac{8}{2}}\large\textsf{ because it gives you the answer of x}[/tex]
[tex]\mathsf{x = \dfrac{8}{2}}\\\\\\\mathsf{x = 8\div 2}\\\\\\\mathsf{x = \bf 4}\\\\\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 4}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the place value of 8 in 2456.1387.
Tenths
Hundredths
Thousandths
Thousands
Answer: Third Choice. Thousandths
Step-by-step explanation:
Concept:
Here, we need to know the order and name of each place value.
Please refer to the attachment below for the specified names.
Solve:
STEP ONE: Orde and name each place
2 ⇒ One Thousands
4 ⇒ Hundreds
5 ⇒ Tens
6 ⇒ Ones
.
1 ⇒ Tenths
3 ⇒ Hundredths
8 ⇒ One Thousandths
7 ⇒ Ten Thousandths
STEP TWO: Find the number [8] in the number
As we can see from the list above, 8 is at the right of the decimal point, thus, the place value is Thousandths.
Hope this helps!! :)
Please let me know if you have any questions
HELP ASAP LIKE PLEASE
Answer: (3b+2)(b+2)
Step-by-step explanation:
Solve for x: -5 < 8x + 11 < 19
Answer:
-2<x<1
Step-by-step explanation:
-5 < 8x + 11 < 19
Subtract 11 from all sides
-5-11 < 8x + 11-11 < 19-11
-16 < 8x<8
Divide by 8
-16/8 < 8x/8 <8/8
-2<x<1
What is the area for the circle?
Answer:
108 squared centimeters
Step-by-step explanation:
Let's exchange π for 3:
area = πr^2
= 3r^2
Now, as you can see, the radius of this circle is 6. Let's plug in the value of r:
area = 3r^2
= 3 · 6^2
Simplify 6^2:
area = 3 · 6^2
= 3 · 36
Multiply 3 by 36:
area = 3 · 36
area = 108
108 squared centimeters
Find the measure of the indicated angle to the nearest degree.
Answer:
Step-by-step explanation:
Adjacent to the undetermined angle is 6, and the hypotenuse has been given. We can conclude, after looking at our SOHCAHTOA, that we will be using cosine(CAH) to solve this problem.
Let the unspecified angle be [tex]\theta\\[/tex] (This sign is called theta, which is just a sign for angle)
Lets start!
cos[tex]\theta\\[/tex] = adj/hyp
cos[tex]\theta\\[/tex] = 6/13
[tex]\theta\\[/tex] = [tex]cos^{-1}[/tex](6/13)
[tex]\theta\\[/tex] = 62.5
[tex]\theta\\[/tex] = 63
Hope that helped!
What is the surface area of the right prism?
92 ft2
46 ft2
48 ft2
70 ft2
(will mark brainliest <3)
=========================================================
Work Shown:
L = 8 ft = lengthW = 3 ft = widthH = 1 ft = heightSA = surface area of the rectangular prism (aka block or box)
SA = 2*(LW + LH + WH)
SA = 2*(8*3 + 8*1 + 3*1)
SA = 2*(24 + 8 + 3)
SA = 2*(35)
SA = 70 square feet
This is the amount of wrapping paper you would need to cover all six sides of the box. This assumes that there are no gaps or overlaps.
The number of bags of Brand Y dog food sold on these five days was 175. Which bar represents the data for Day 5 for Brand Y?
Answer:
30
Step-by-step explanation:
Someone please help me find y if you don’t mind Thankyouu so much
Answer:
Step-by-step explanation:
Decreasing rate = 12% = 0.12
y = 2400 * (1- 0.12)^x = 2400*(0.88)^x
x = 8 years
[tex]y = 2400 *(0.88)^{8}\\\\= 2400*0.36\\\\= 863[/tex]
express the ratio 7day to 6weeks as a decimal fraction
Answer:
6 weeks=6*7 days=42days
7/42 =1/6 =0.16667
OR
7 days=1 week
therefore 1/6=0.16667
Note that both must be in the same unit.
Determining the Domain and Range from a Graph
Determine the domain and range of the given function.
The domain is
ty
4
The range is
2
-4
-2
4
Into
Answer:
Domain is all real numbers, and range is all numbers greater than or equal to -2. If thee was anything you didn't understand let me know.
Step-by-step explanation:
The domain is what x values work, or it may be better to say the horizontal axis. is there any number you cannot use? if you cannot tell, this is a parabola, like x^2. Is there any number you cannot plug into x^2. The answer is no, the domain for all parabolic functions is all real numbers.
The range you really want to look at visually here. Range is y values you can get, or values on the vertical axis. I would also compare it to x^2 again. You should know you can make it as high as you want, here is the same. but at -2, there is no point below that. so the range is -2 and up
The other options are just specific numbers. you can disprove those by choosing a number not on their lists. For the domain literally any other number. For range any number not on the list greater than -2
The population of a city is currently 45,000 and is declining at a rate of 2% each year. Give a formula for determining the total population after a period of t years.
Question 4 options:
A)
A = (45,000)e–0.02t
B)
A = 45,000 + e–0.02t
C)
A = (45,000)e0.02t
D)
A = 45,000 + e0.02t
Answer:
Step-by-step explanation:
The general form of this equation is
[tex]A=Pe^{rt}[/tex] where P is the initial population, e is Euler's number (a constant), r is the rate of decay, and t is the time in years.
Therefore, filling in:
[tex]A=45000e^{-.02t[/tex]
9)Using appropriate properties , find 7
5
×
5
12
−
3
12
×
7
5
−
1
15
Answer:
-20940
Step-by-step explanation:
5 x 512 - 312 x 75 - 115
According to BODMAS ,
2575 - 23400 - 115
= -2090
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]
Can someone help me with this please !!
Step-by-step explanation:
I need help to...
I keep putting it in and no one has ever answered it and I'm struggling and getting stressed.
The following ordered pairs represent a function: {(-3, 1), (1, -2), (3, 0), (4, 5)}.
True or False
Answer:
false
Step-by-step explanation:
this is because there is no function of an unknown in this set
a man's income is rupees 12000 per month if the.If the rate of income tax ia rs2.50 per rs100,how much tax should he pay?
Answer:
don't know
Step-by-step explanation:
Y'ALL PLEASE HELP ME I WOULD GREATLY APPRECIATE IT!!!!!:)!!!!!!
Find the measure of angle TOS in the figure below. SHOW YOUR WORK SO I CAN SEE HOW YoU GOT IT!!!!
Step-by-step explanation:
<TOS=122° [being vertically opposite angle]
Answer:
angleTOS =122°
EXPLANATION:
[ If two straight lines intersect at point O, vertically opposite angles are equal]As vertically opposite angles are equal; Hence AngleTOS=QOR=122°
Help me! thank you so much
Answer:
Step-by-step explanation:
[tex]\frac{sinxcos^3x-cos xsin^3x}{cos^42x-sin^42x} \\=\frac{sin x cos x(cos^2x-sin ^2 x)}{(cis^2 2x+sin^2 2x)(cos^2 2x-sin ^22x)} \\=\frac{2sin x cos x cos 2x}{2(1)(cos 4x)} \\=\frac{sin 2x cos 2x}{2 cos 4x} \\=\frac{2 sin 2x cos 2x}{4 cos 4x} \\=\frac{sin 4x}{4 cos 4x} \\=\frac{1}{4} tan 4x[/tex]
2.
Lucy shares 42 marbles between her and her 6 friends. How many does each child?