Answer:
[tex]2 + b >z > 2 -a[/tex]
Step-by-step explanation:
Given
[tex]z - b < 2 < a + z[/tex]
Required
Solve for z
Split the inequality
[tex]z - b < 2[/tex] or [tex]2< a + z[/tex]
Make z the subject
[tex]z < 2 + b[/tex] or [tex]2 - a < z[/tex]
Rewrite as:
[tex]2 + b >z[/tex] or [tex]z > 2-a[/tex]
Combine the inequalities
[tex]2 + b >z > 2 -a[/tex]
Find the point on the terminal side of θ = three pi divided by four that has a y coordinate of 1. Show your work for full credit.
Answer:
Remember that tan=y/x from your notes from module 4.
Step-by-step explanation:
Refer to the unit circle to see the relationship between x and y at that angle, it is -1. Now you can set up your equation of tan=1/x and solve for x.
For all the problems in this section you can set up an equation where tan=y/x, sin = y/h, and cos=x/h. Then using your equation you can solve for whatever number is missing.
Answer:
-1/1
Step-by-step explanation:
Two of the desserts are sugar free
Three of the drinks are sugar free
Answer: 8/15
Step-by-step explanation:
You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.
Two of the desserts are sugar free (2/3).
Four of the drinks are sugar free (4/5)
Times these fractions together, 2/3x4/5= 8/15.
Hope this helps :)
I dont know how to do this please help me
problem 17=A
problem 4= C
problem 9= B
problem 11= C
problem 14= D
Express 240g as a percentage of 2.5kg
Answer:
0.1%
Step-by-step explanation:
Given that 240 g of 2.5 kg
We have to express this in percentage
But we know that 1 kg = 1000 g, So first convert 2.5 kg to g
2.5 kg = 2.5 x 1000 g = 2500 g
The formula of "a" % of "b" is given as:
[tex]percentage= \frac{a}{b}[/tex] × 100
Hence, 240 g as a percentage of 2500 g is given as:
[tex]= \frac{250}{2500}[/tex] × [tex]100[/tex]
= [tex]\frac{1}{10}[/tex] = 0.1
Thus, the answer is 0.1 %
(b) A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 4 to 19. What is the probability of a successful call
Answer:
0.1739 = 17.39% probability of a successful call.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The odds of making a sale on a single call are 4 to 19.
This means that in 4 + 19 = 23 calls, 4 are successful.
What is the probability of a successful call?
[tex]p = \frac{4}{23} = 0.1739[/tex]
0.1739 = 17.39% probability of a successful call.
Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of __________.
Answer: -1
Step-by-step explanation:
Just took the test
,and the equation is y=-1x+5, so the change of x is -1
Answer:
The answer is -1
Step-by-step explanation:
what that two numbers when multiplied give 600 and when added give 59
Answer:
Step-by-step explanation:
Let the 2 numbers be x and y
From the problem we have that
x * y = 600 and x + y = 59
From x + y = 59 -> x = 59 - y
Plug x = 59 - y to x * y = 600 we have
(59 - y) * y = 600
-> 59y - y^2 = 600
-> -y^2 + 59y - 600 = 0
-> y = [tex](59 - \sqrt{1081})/2[/tex] or [tex](59 + \sqrt{1081})/2[/tex]
Then we could plug the answers in and find x because x = 59 - y
Which algebraic expression has a term with a coefficient of 9? O A. 6(x + 5) O B. 6x - 9 O C. 6+ x - 9 O D. 9x=6
Answer:
D is the answer to your question
What amount of simple interest would you pay on a 2000 loan at 8% interest for 3 years
Answer:
480 is right answer of the question
definition of descartes
Answer:
French philosopher and mathematician; developed dualistic theory of mind and matter; introduced the use of coordinates to locate a point in two or three dimensions (1596-1650)
In a math class with 26 students a test was given the same day that an assignment was due. There were 17 students who passed the test and 18 students who completed the assignment. There were 15 students who passed the test and also completed the assignment. What is the probability that a student who failed the test completed the homework?
Answer:
3/26 is the answer........
Simplify Complex Numbers
3.
√250 = √(25 * 10) = √(5^2 * 10) = √(5^2) * √10
… = 5 √10
=> a = 5
4.
√(-300) = √(-1 * 3 * 100) = √(-1 * 3 * 10^2) = √(-1) * √3 * √(10^2) = i * √3 * 10
… = 10i √3
=> -a = 10 and b = 3 => a = -10 and b = 3
=> a - b = -10 - 3 = -13
5. The Colorado state flag consists of three horizontal stripes of equal height. The side lengths of the flag are in the ratio 2 : 3. The diameter of the gold-colored disk is equal to the height of the center stripe. What percentage of the flag is gold?
Answer:
the diameter of the circle is ⅓ of the height
so the radius is 1/6 of the height
the area of the flag is 1*1.5 of the height
(we need to consider this)
pi*(1/6)² / 1.5
= 0.058177
so the percentage is
5.82 %
So, the required percentage is [tex]5.81\%[/tex].
To understand the calculations, check below.
Area of the disk:The area of the disk is defined as the ‘ measure of surface ‘ surrounded by the round edge (circumference) of the disk. The area of a disk can be derived by breaking it into a number of identical parts of disk as units — calculating their areas and summing them up till the disk is reformed.
That is [tex]Area=\pi \frac{d^2}{4}[/tex]
Let the width and the length of the flag be [tex]2x[/tex] and [tex]3x[/tex] respectively.
So, the diameter of the gold-colored disk will be [tex]\frac{2x}{3}[/tex]
Now, by using the above formula the area of the gold disk will be,
[tex]\pi \frac{d^2}{4}=\pi\times\frac{4x^2}{4\times 9} \\ =\frac{\pi x^2}{9}[/tex]
And the area of the flag will be,
[tex]Area=l\times b\\=2x\times 3x\\=6x ^2[/tex]
So, the required percentage is,
[tex]\frac{(\frac{\pi x^2}{9} )}{6x^2} \times 100=\frac{\pi}{54}\times 100\\ =5.81\%[/tex]
Learn more about the topic Area of the disk:
https://brainly.com/question/21881629
In physics class, Carrie learns that a force, F, is equal to the mass of an object, m, times its acceleration, a. She writes the equation F=ma.
Using this formula, what is the acceleration of an object with F=7.92 newtons and m=3.6 kilograms? Express your answer to the nearest tenth.
The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.
When solved for C, the equation is
C = K – 273.15
C = 273.15 – K
C = K + 273.15
C = 273.15K
what is the domain of the table
Answer:
Letter A
Step-by-step explanation:
The domain is the input or the x-value
The range is the output or the y-value
Hope this helps
Given: AC and DB bisect each other.
Prove: AABE ACDE. HELP WILL GIVE BRAINLEST AND 5 stars
Answer: XY ≅ WZ
Hope this helps...
Have a great day!
What is the slope of the line that passes through the points (3, 2) and (-1,-4)?
Answer:
3/2
Step-by-step explanation:
slope formula is
y2 - y1 / x2 -x1 = m
so now we just plug in our coordinates.
-4 - 2 / -1 - 3 = -6 / -4 = 3/2
What is the value of xin the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
14
B
х
D
с
30
A. 6.5
B. 16
C. 14
D. 30.1
Answer:
the answer is letter A. 6.5
Step-by-step explanation:
it's correct if I'm rwong ( ╹▽╹ )
Plzzz help I don’t have a lot of time
Answer:
7
Step-by-step explanation:
It’s a right angle, so you can add the two expressions togther to get 90, then isolate x.
(8r-6)+(5r+5)=90
13r-1=90 (combine like terms)
13r-1+1=90+1 (add 1, addition property of equality)
13r=91
13r/13=91/13
r=7
The product of two consecutive odd integers is 399. What equation would be used to solve
this problem?
Step-by-step explanation:
the answer is in the image
Please help me no links!!
Answer:
Step-by-step explanation:
The line is parallel to y axis so
slope : undefined
y intercept : the line doesn’t intercept y axis
Equation : x = -6
what is the actual standard deviation for 68,68,68,68,68 133,133,133,133,133,
Answer: 21380.573997076
Step-by-step explanation:
please help me solve this
Answer:
(0, 3), (4, -5)Step-by-step explanation:
y = x² - 6x + 3y = -2x + 3Solve by substitution:
x² - 6x + 3 = -2x + 3x² - 4x = 0x(x - 4) = 0x = 0 ⇒ y = -2*0 + 3 = 3x = 4 ⇒ y = -2*4 + 3 = -5A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 20 child bikes and 6 adult bikes in a week.
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
9514 1404 393
Answer:
(a) No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
Build times are 4 hours for a child's bike and 6 hours for an adult's bike. The number of build hours cannot exceed 120. This gives the first inequality:
4c +6a ≤ 120
Test times are 4 hours each. The number of test hours cannot exceed 100. This gives the second inequality:
4c +4a ≤ 100
This pair of inequalities matches choices A and C.
When we use c=20 and a=6, these become ...
4(20) +6(6) = 116 ≤ 120 . . . true
4(20) +4(6) = 104 ≤ 100 . . . false
The order cannot be built because the test time constraint cannot be met. This matches choice A.
How many different ways may a set of 4 books be arraged side by side on a shell?
Answer:
24
Step-by-step explanation:
4 * 3 * 2 * 1 = 24
Multiple Select
Although there are many more, choose THREE reasons the U.S. government is strongly encouraging Sl to be used at all levels of
education.
students educated to use the metric system will be able to excel in the global marketplace
using the metric system helps students be more creative
the mandatory conversion from U.S. measurements to metric is official in 2020
the metric system is simpler for students to learn
education in math and science will become more efficient
Answer:
watts
Step-by-step explanation:
Answers:
students educated to use the metric system will be able to excel in the global marketplaceeducation in math and science will become more efficientthe metric system is simpler for students to learnhow do i solve this problem
Answer:
5 sqrt(2) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hypotenuse
sin 45 = x / 10
10 sin 45 = x
10 ( sqrt(2)/2) =x
5 sqrt(2) =x
What does 32.689 x 10³ =???
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{32.689\times 10^3}[/tex]
[tex]\mathsf{10^3}[/tex]
[tex]\mathsf{= 10\times10 \times10}[/tex]
[tex]\mathsf{= 100\times10}[/tex]
[tex]\boxed{\mathsf{= \bf 1,000}}[/tex]
[tex]\mathsf{32.689 \times1,000}[/tex]
[tex]\boxed{\mathsf{= \bf 32, 689}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 32, 689}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Why do we divide log2(4) by 15 and why log4(15) turned to log2(15) i need deep explanation and understand the rest but i didnt get where the first step came from
Answer:
see below
Step-by-step explanation:
log 4 (15)
We need to change the base from 4 to 2
log b (a) = log x(a) / log x(b) where x is the base that we need
log4 (15) = log 2 (15) / log 2 (4)
Identify which shapes are similar to shape A and which are not.
Answer: Shape 3 and Shape 2
Hope this helps...
Have a great day.
