Answer:
the points indicats exterior of the angle
Find the missing value.
Hint: Use the number line to find the missing value.
-5 = -8-
H
-15
-10
-5
0
5
10
15
Stuck? Review related articles/videos or use a hint.
Answer:
-3
Step-by-step explanation:
-8 - x =-5
I hope this helped! :)Mr. Johnston needs a shelf to hold a set of textbooks, each 1 3/4 in. Wide. How many books will fit on a 35-in.-long shelf?
Answer:
20 books
Step-by-step explanation:
35/1.75
20
Match the stem and leaf plot
to the correct set of data.
Slope -1/4, passes through (12,-4)
Answer:
y = - [tex]\frac{1}{4}[/tex] x - 1
Step-by-step explanation:
Assuming you require the equation of the line
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{4}[/tex] , then
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute (12, - 4) into the partial equation
- 4 = - 3 + c ⇒ c = - 4 + 3 = - 1
y = - [tex]\frac{1}{4}[/tex] x - 1 ← equation of line
Justin is saving money to buy a stereo. He has $25 saved in the bank right now. He earns $40 each week delivering newspapers.
Let y = the total amount of money Justin has, and x is in weeks.
RS=7y+4, ST=3y+6, and RT=90
Answer:
If it is a straight line then ;
RT= RS+ST
90=(7y+4) + (3y+6)
90 = 10y + 10
10y= 90 – 10
10y = 80
y= 80 / 10
y =8
ST = 3y+6= 3(8)+6= 24 +6 = 30
RS = 7y +4 = 7(8) + 4 = 56 +4 = 60
I hope I helped you^_^
find the supplement of 3/4 of a right angle
Answer:
Step-by-step explanation:
¾*90=67.5
180-67.5=112.5°
Answer:
60°
Step-by-step explanation:
You can see the explanation in the picture
FIND THE AREA OF THE SHADED REGION.
This problem can be a bit confusing, so let's break it down:
First, let's take the area of the square (A = b · h):
A = 15 · 15
A = 225 cm²
Now comes the confusing part:
We can tell that the non-shaded area is 1/4 of a circle, so, if we take 1/4 of the area of a circle, we can subtract its area from the area of the square:
A = πr²
A = 15²π
A = 225π
1/4 A = 225π / 4
New Area = 56.25π
Or... about 176.7
Since we have both of the areas, all we have to do is subtract:
225 - 176.7 =
48.3.
Your final answer is 48.3 cm²
A cafeteria offers oranges, apples, or bananas as its fruit option. It offers peas, green beans, or carrots as the vegetable option. Find the number of fruit and vegetable options. If the fruit and the vegetable are chosen at random, what is the probability of getting an orange and carrots? Is it likely or unlikely that a customer would get an orange and carrots?
i don't know please answer me
How much of a circle does a 100-degree angle turn through?
A.1
B.100/180
C.50/360
D.100/360
Answer:
100/360
Step-by-step explanation:
A circle is 360 degrees
100/360
10/36
5/18
Which expression is equivalent to the expression 10.5 - 7.5 + 12?
�� 10.5 + 7.5 + 12
�� 7.5 - 10.5 + 12
�� 10.5 + (-7.5) + 12
�� 10.5 + (-12) + 7.5
Answer:
The 3rd one, 10.5+(-7.5)+12
Step-by-step explanation:
If something is +(-), the answer is minus.
So therefore 10.5-7.5+12 would be our answer
Which is equivalent to the original expression
Hope this helps!
Write 0.2 repeating as a fraction in simplest form (The 0.2 is repeating, so the 2 has the repeating bar above it, just need someone to solve this, it would help a lot thanks.)
If x is the number 0.222…, then 10x = 2.222…. Subtracting x from 10x eliminates the fractional part, so that
10x - x = 2.222… - 0.222…
==> 9x = 2
and solving for x gives x = 2/9.
Solve this system of equations with matrices. x – 5y – 4z = 15 -3x +2y + 3z = -6 4x + 8y – 2z = 3
Answer:
x = 59/10, z = 237/70, and y = -121/70
Step-by-step explanation:
The lines shown below are perpendioular. If the green line has a slope of
-2/3 what is the slope of the red line PLEASE HELP ASAP
Answer:
C)3/2
Step-by-step explanation:
Perpendicular lines have a negative reciprocal slopes.
Therefore C)3/2
which equations have a leading coefficient of 3 and a constant term of -2?
Answer: the answer to this is 3x-2
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
I believe it is A. 1,1150.6cm^3
Step-by-step explanation:
To solve for the volume of a cone:
[tex]V = \pi radius^{2} \frac{height}{3}[/tex]
In XYZ, what is the cosine ratio of X?
Answer:
c) 12/15 = 4/5
Step-by-step explanation:
imagine we mirror the triangle up, so that Z is on top.
then you can clearly see that 6 is cos(X) times r (and r is then 7.5).
XY is sin(X)×7.5
and again, 7.5 is r (the line making the X angle).
so, the cosine ratio of X is
6 = cos(X)×7.5
cos(X) = 6/7.5 or then 12/15. or simplified 4/5.
PLEASE HELP ASAP Please?
Answer:
c
Step-by-step explanation:
First, from A to B, x=6, but y ranges from 8 to -8. From B to C, y=-8, but x ranges from 6 to -6. From C to D, x=-6, but y ranges from -8 to 8. From D to A, y=8, but x ranges from -6 to 6.
The ranges are as follows:
- x goes from -6 to 6
- y goes from -8 to 8
There are no x values less than -6, no x values greater than 6, no y values less than -8, and no y values greater than 8. x is always greater than or equal to -6 and less than or equal to 6. y is always greater than or equal to -8 and less than or equal to 8. We can write these as inequalities as follows:
x ≥ -6
x ≤ 6
y ≥ -8
y ≤ 8
The answer that is not in these 4 is c. y ≤ -8. y is never less than -8, so this is wrong
On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞
Answer:
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
Step-by-step explanation:
The minimum value of the curve = (1.9, -5.7),
The maximum value = (0, 2)
The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)
The point the function crosses the y-axis (the y-intercept) = (0, 2)
The given points can be plotted using MS Excel, from which we have;
F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5
The correct option is therefore, F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
Answer:
A. F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
Step-by-step explanation:
Find the accumulated value of an investment of $10,000 for 7 years at an interest rate of 5.5% if the money is a. Compounded semiannually;b. Compounded quarterly; c. Compounded monthly; d. Compounded continuously
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Annual interest rate (i)= 0.055
Initial investment (PV)= $10,000
Number of years (n)= 7
To calculate the future value (FV), we need to use the following formula (except in d):
FV= PV*(1+i)^n
a.
Semiannual interest rate= 0.055/2= 0.0275
Number of semesters= 7*2= 14
FV= 10,000*(1.0275^14)
FV= $14,619.94
b.
Quarterly rate= 0.055/4= 0.01375
Number of quarters= 7*4= 28
FV= 10,000*(1.01375^28)
FV= $14,657.65
c.
Monthly interest rate= 0.055/12= 0.0045833
Number of months= 7*12= 84
FV= 10,000*(1.0045833^84)
FV= $14,683.18
d.
To calculate the future value using continuous compounding, we need to use the following formula:
FV= PV*e^(n*i)
FV= 10,000*e^(7*0.055)
FV= $14,696.14
HELP! A semi circle of radius 6 is centered at the origin as shown. A rectangle has two of its vertices at (5,0) and (-5,0) and the other two vertices on the semi-circle. What is the exact area of the rectangle? What is the equation of the semi circle?
The Area of rectangle is "[tex]30 \ unit^2[/tex]" and the equation of the semi circle is "[tex]y = \sqrt{36-x^2}[/tex]".
According to the question,
The vertices of rectangle,
(5, 0) and (-5, 0)
Length,
l = 10 unit
Breadth,
b = 3 unit
Radius of semi circle,
r = 6
Centre of origin,
(0, 0)
As we know,
→ The Area of rectangle is:
= [tex]Length\times Breadth[/tex]
= [tex]10\times 3[/tex]
= [tex]30 \ unit^2[/tex]
and,
→ The Equation of semi circle is,
[tex]y = \sqrt{r^2-x^2}[/tex]
by substituting the values, we get
[tex]=\sqrt{(6)^2-x^2}[/tex]
[tex]= \sqrt{36-x^2}[/tex]
Thus the above is the correct answers.
Learn more about Area of rectangle here:
https://brainly.com/question/14383947
Vanessa and her friends are watching three movies consecutively. The first movie is 2 hours and 17 minutes long. The second movie is 84 minutes long, and the last movie is 99 minutes long. How much time will they spend watching the movies?
Answer:
320 minutes (5 hours and 20 minutes).
Step-by-step explanation:
2 hours and 17 minutes = 137 minutes
137 + 84 + 99 = 320
Therefore, they will spend 320 minutes (5 hours and 20 minutes) watching movies.
Help fast!
Describe at least two ways to find or
estimate the year the population of the town
will be 40 thousand. (You don't have to
actually find the value.)
How to find interquartilte range
============================================================
Explanation:
Each x represents a data point location.
So, for example, having an x over 60 means 60 is part of the set.
The set of values we're working with is
{59,60,61,63,63,64,66,68,70,71,71,73}
The repeated values are due to the fact we have a stack of two 'x' markers, and they occur at 63 and 71.
To find the IQR (interquartile range), we'll first need to find the median of this set. That's the middle most value.
Count out the number of values to find that there are n = 12 values.
The list splits into two halves that are n/2 = 12/2 = 6 items each
Between slots 6 and 7 is where the median is located.
The value in slot 6 is 64 and the value in slot 7 is 66. Average those two items to get (64+66)/2 = 65
The median is 65
---------------------------------
Next, we'll form two groups L and U such that
L = set of items lower than the median
U = set of items larger than the median
Because n is even, we simply just break the original set into two equal groups (6 items each)
L = {59,60,61,63,63,64}
U = {66,68,70,71,71,73}
The values of Q1 and Q3 represent the medians of L and U in that order.
The median of set L is (61+63)/2 = 62, so Q1 = 62
The median of set U is (70+71)/2 = 70.5, which is Q3
-----------------------------------
To summarize everything so far, we have found
Q1 = 62Q3 = 70.5Subtract those items to get the IQR
IQR = Q3 - Q1
IQR = 70.5 - 62
IQR = 8.5 which points us to choice C as the final answer.
(6 1/4)^4
Answer fast or i will report you
Answer:6
Step-by-step explanation: The rules of exponential says (a^x)^y=a^xy.
Therefore you will multiply 1/4 with 4 to get an exponent of 1. So the answer is 6^1 which is also written as 6
Plssss help me with this question!!!!
[tex]\\ \sf\longmapsto x+14+x=32[/tex]
[tex]\\ \sf\longmapsto 2x+14=32[/tex]
[tex]\\ \sf\longmapsto 2x=32-14[/tex]
[tex]\\ \sf\longmapsto 2x=18[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{18}{2}[/tex]
[tex]\\ \sf\longmapsto x=9[/tex]
what must be added to a + b to get a
Answer:
we have to add (-b) to get (a)
Step-by-step explanation:
a+b+(-b)=a
a+b-b=a
a=a
Hence verified.
Hope this helps you. Have a nice day^_^
what is 2/3 divide by 2/9
Answer:
3
Step-by-step explanation:
(2/3)/(2/9) = (2/3) * (9/2) = 3
Alec pulled a couch 3 meters, using a force of 400 N. The couch weighed 200 N. How do you calculate the work done by Alec?
A . Add 400 to 200
B . Divide 400 by 3
C . Multiply 200 by 3
D . Multiply 400 by 3
Answer:
D
Step-by-step explanation:
It is because work is done when a force cause an object to move in the direction of the applied force.
so work is equal to force × distance
help me, thank you!!!
Answer:
Step-by-step explanation:
i don't understand this language but i think you want to simplify it.
[tex]\frac{3x-3\sqrt{x} -3}{x+\sqrt{x} -2} -\frac{\sqrt{x} +1}{\sqrt{x} +2} +\frac{\sqrt{x} -2}{1-\sqrt{x} } \\=\frac{3x-3\sqrt{x} -3}{x+2\sqrt{x} -\sqrt{x} -2} -\frac{\sqrt{x} +1}{\sqrt{x} +2} -\frac{\sqrt{x} -2}{\sqrt{x} -1} \\=\frac{3x-3\sqrt{x} -3}{\sqrt{x} (\sqrt{x} +2)-1(\sqrt{x} +2)} -\frac{(\sqrt{x} +1)(\sqrt{x} -1)+(\sqrt{x} +2)(\sqrt{x} -2)}{(\sqrt{x} +2)(\sqrt{x} -1)} \\=\frac{3x-3\sqrt{x} -3}{(\sqrt{x} +2)(\sqrt{x} -1)} -\frac{(x-1)+(x-2)}{(\sqrt{x} +2)(\sqrt{x} -1)} \\[/tex]
[tex]=\frac{3x-3\sqrt{x} -3-2x+3}{(\sqrt{x} +2)(\sqrt{x} -1)} \\=\frac{x-3\sqrt{x} }{(\sqrt{x} +2)(\sqrt{x} -1)}[/tex]