a. False; if b is negative, then -b is positive, so
a - b = a + (-b)
is the sum of two positive numbers, which must be positive.
b. True; the sum of two negative numbers is again negative.
c. True; a + b will be positive as long as a > |b|. (For example, if a = 2 and b = -1, then of course 2 > |-1| = 1, and a + b = 2 + (-1) = 1 > 0.)
d. False; this would contradict the result of part (c). b + a is only negative if a ≤ |b|. (For example, if a = 1 and b = -2, then b + a = -2 + 1 = -1 < 0.)
wats 4000 squared and 40*7
Answer:
16000280
Step-by-step explanation:
hope this helps.
Given conversion factor what is the above line segment's unit
1 ft
measure in inches? Round your answer to the nearest tenth.
Answer here
Please help
24
Step-by-step explanation:[tex]Convert\ the\ unit\ for\ \frac{12in}{1ft}:\\ \downarrow\\ 24[/tex]
I hope this helps you
:)
4. If you are moving a 25 N weight, over a distance of 2.5 meters, how much work is being
done?
Answer:
62.5 J
Step-by-step explanation:
Formula
Work = Force x Distance (Displacement)Given :
Force = 25 NDistance = 2.5 mSolving
Work = 25 x 2.5Work = 62.5 JThe work done with the given force and distance is 62.5 Newton meter.
What is time and work?The basic concept of Time and Work is similar to that across all Arithmetic topics, i.e. the concept of Proportionality. Efficiency is inversely proportional to the Time taken when the amount of work done is constant.
Given that, force = 25 N weight and distance = 2.5 meters
We know that, work = Force×Distance
Here, work = 25×2.5
= 62.5 Newton meter
Therefore, the work done is 62.5 Newton meter.
To learn more about the time and work visit:
https://brainly.com/question/3854047.
#SPJ7
Please help pleeaassee!! >_<.
Answer:
Slope intercept form does not dictate whether or not a function is linear. What determines if a function is linear is if there is one independent variable, one dependent variable, and it makes a STRAIGHT line. This function is linear because there are only 2 variables and a horizontal line.
Levi could have determined that the graph was linear by checking the conditions stated above or graphing it out. Then, he would see that y = 2 is a straight horizontal line with an independent and dependent variable.
Hope this helps!
PLEASE HELP ASAP Write an equation that models the data in the table (Screenshot below)
Answer:
y = 7x
Step-by-step explanation:
Every y is greater 7 times than x. It means that everytime you multiply X by 7, it will be equal to y
Word problem. Help!! Will give brainlist
Answer:
133 degrees
Step-by-step explanation:
Supplementary angles equal 180.
the 1st angle is 180, so we do:
180-47
the answer is 133
Help please… thank you!
Answer:
B
Step-by-step explanation:
5 × pi ÷12 = 75 degrees
this is essentially cos75
= cos(30 + 45)
then we use the identities to solve.
the answer will = to 0.2588
what is 1/4x-6=-10 please i need something by tomorrow.
Answer:
If you need what x equals its -16
x = -16
Explanation:
[tex]\rightarrow \sf \dfrac{1}{4} x - 6=-10[/tex]
collect variables
[tex]\rightarrow \sf \dfrac{1}{4} x =-10+6[/tex]
simplify
[tex]\rightarrow \sf \dfrac{1}{4} x =-4[/tex]
cross multiply
[tex]\rightarrow \sf x=-4*4[/tex]
final answer
[tex]\rightarrow \sf x=-16[/tex]
Please help me with this question
3 t-shirts and 2 hats cost £14
2 t-shirts and 7 hats cost £15
Find the cost of one t-shirt
Find the cost of one hat
Answer:
The cost of one T-shirt is £4
The cost of a hat is £1
Step-by-step explanation:
Standing in your tree house, 50 feet off the ground, you look down at a 60° angle and notice a Frisbee. Approximately how many feet from the base of the tree is the Frisbee? Draw a picture to help you!
Answer:
About 29 feet.
Step-by-step explanation:
tan 60 = 50 / h
h = 50/ tan 60
= 28.87 ft
Part A Find the distances between points P and Q and between points R and Q. Explain your answer. Refer to the number line in your interpretation. * *
The points P, Q and R are collinear points on the number line
The distance PQ is 0.6The distance QR is 0.3How to determine the distance between P and Q?From the number line we have:
P = -0.6
Q = 0
The distance is calculated as:
PQ = Q - P
This gives
PQ = 0 - -0.6
Evaluate the difference
PQ = 0.6
Hence, the distance PQ is 0.6
How to determine the distance between R and Q?From the number line we have:
R = 0.3
Q = 0
The distance is calculated as:
QR = R - Q
This gives
QR = 0.3 - 0
Evaluate the difference
QR = 0.3
Hence, the distance QR is 0.3
Read more about number lines at:
https://brainly.com/question/10851163
Answer:
The distance PQ is 0.6
The distance QR is 0.3
q . (a + y) = 67y + 93
Space Shuttle Marion is observing the launch of a space
shuttle from the command center. When she first sees the
shuttle, the angle of elevation to it is 16°. Later, the angle
of elevation is 74°. If the command center is 1 mi from the
launch pad, how far did the shuttle travel while Marion was
watching? Round to the nearest tenth of a mile,
Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:
[tex]\tan{16^\circ} = \frac{1}{x_1}[/tex]
[tex]x_1 = \frac{1}{\tan{16^\circ}}[/tex]
[tex]x_1 = 3.5[/tex]
Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:
[tex]\tan{74^\circ} = \frac{1}{x_2}[/tex]
[tex]x_2 = \frac{1}{\tan{74^\circ}}[/tex]
[tex]x_2 = 0.3[/tex]
The distance is:
[tex]d = x_1 - x_2 = 3.5 - 0.3 = 3.2[/tex]
The shuttle traveled 3.2 miles while Marion was watching.
More can be learned about the slope concept at https://brainly.com/question/18090623
Evaluate the limit. (-2)^nn/4+n
Answer:
n
(
−
2
)
n
4
+
n
Step-by-step explanation:
Consider the quadratic equation x3 = 48-5. How many solutions does the equation have?
Answer:
you would have 84-.10 I think
Step-by-step explanation:
A window needs a piece of glass of 3m by 2m to fit into its frame. What is the total area of glass needed for 25 windows?
Can someone help me?
Answer:
70x+91
Step-by-step explanation:
Answer:
161
Step-by-step explanation:
Break it into separate parts based on order of operations:
[(3 x (2^5)) + (13 x (-2))] + 7[8 - (4 - 9)] then simplify:
3 x 32 + (-26) + 7[8 + 5]
96 - 26 + 7(13)
70 + 91
161
Factor 64r^2 −9s^2 ANSWER ASAP I WILL GIVE BRAINLEST
.
please answer i will give you
Answer: C) [tex]f^{-1}(x)=3-7x[/tex]
Step-by-step explanation:
When solving for an inverse of a function replace f(x) with x and replace the original x with y.
[tex]f(x) = \frac{3-x}{7} \\x=\frac{3-y}{7}[/tex]
Now solve for y
[tex]x=\frac{3-y}{7} \\(7)x=(\frac{3-y}{7}) (7)\\7x=3-y\\7x+y=3-y+y\\7x+y=3\\7x-7x+y=3-7x\\y=3-7x[/tex]
Replace y with the [tex]f^{-1}(x)[/tex]
26. An electronic game store is offering a 20% discount on all items in the store.
If the original price of a game is $55, how much will it cost after the discount?
Answer:
11$
Step-by-step explanation:
20% is equivalent to 0.20, so if we multiply that by 55, it will take off 20% of the price, giving us 11$.
0.20 × 55 = 11
Brainliest please?
Answer: ✨$75✨
Step-by-step explanation: ✨Well I added them I hope this helps✨
HURRY!!!! I ONLY HAVE 1 MIN!!!!!!
A rectangular prism is 3 meters long, 5 meters wide, and has a height of 10 meters. What is its surface area?
100 m 2
50 m 2
190 m 2
95 m 2
Answer:
190 cm^2
Step-by-step explanation:
Top and Bottom = 2(3*10)=60cm
Sides = 2(5*10)=100
Front and Back =2(3*5)=30
total = 190
Answer:
mew
Step-by-step explanation:
Need help with math please
Answer:
45°
Step-by-step explanation:
if angle 3 is 135 the angle 2 is 45 and angle 2 is equal to angle 4 which is 45°
Use the triangle to evaluate each function. sin(a) = tan(a) = sec(a) =
The value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.
How do we find the sin, tan, and sec function?By right-angled triangle, we can find the trigonometric function from the sides of the triangle.
sin x = perpendicular/ hypotenuse
cos x = base/ hypotenuse
sec x = hypotenuse /base
From a triangle ABC of base 4, perpendicular 3, and hypotenuse 5, we get
sin a = perpendicular/ hypotenuse
= 3/5
cos a = base/ hypotenuse
= 4/5
sec a = hypotenuse /base
= 5/4
Hence, the value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.
Learn more about trigonometry;
https://brainly.com/question/26719838
What is the side length of the image if the apothem is 8.3 feet and the area is
214.14 feet squared?
keeping in mind that regular polygon has 12 sides
[tex]\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ans~~ \begin{cases} a=apothem\\ n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ A=214.14\\ a=8.3\\ n=12 \end{cases}\implies 214.14=\cfrac{1}{2}(8.3)(12)s \\\\\\ 214.14=49.8s\implies \cfrac{214.14}{49.8}=s\implies 4.3=s[/tex]
Please help, will give 15 points!!!
A standard number cube is tossed. Find each probability.
P(even or less than 4)
Answer:
total 6
even 2, 4, 6
even or less than 4: 2, 4
p = 2/6 = 1/3
brainliest?
anyone? please answer it
Answer:
2(3-√13) is the answer
Step-by-step explanation:
Given that,
x = \frac{3 - \sqrt{13} }{2}
or, \frac{1}{x} = \frac{2}{3 - \sqrt{13} } (Taking reciprocal on both sides)
We know that,
(a + b)² = a² + b² + 2ab
or, (x \ + \frac{1} {x})^{2} = {x}^{2} + \frac{1}{x {}^{2} } + 2
or, {x}^{2} + \frac{1}{x {}^{2} } = (x \ + \frac{1}{x })^{2} - 2
Now,
or, {x}+ \frac{1}{x } = \frac{3 - \sqrt{13} }{2} + \frac{2}{3 - \sqrt{13} }
or, (3 - \sqrt{13 {})^{2} } + 4
2(3-√13) is the answer
If you didn't understand the frac etc... then I'll attach the f ans file.
helpppppppppppppppppppppppppppppppppppppppppppppppppppp
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
4:1
Step-by-step explanation:
The students in Herman's grade voted to select a guest speaker. 435 students voted for a famous athlete. The other 65 students in Herman's grade voted for a famous actor. What percentage of the students voted for the athlete?
Answer:
87%
Step-by-step explanation:
435 students who voted for athlete 87
___________________________ = ____ or 87%
500 total students 100
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution :
[tex]\qquad \sf \dashrightarrow \:(2 {x}^{2} + 5x - 7) + (3 - 4 {x}^{2} + 6x)[/tex]
[tex]\qquad \sf \dashrightarrow \: 2{x}^{2} + 5x - 7 + 3 - 4 {x}^{2} + 6x[/tex]
[tex]\qquad \sf \dashrightarrow \:2 {x}^{2} - 4 {x}^{2} + 5x + 6x - 7 + 3[/tex]
[tex]\qquad \sf \dashrightarrow \: - 2 {x}^{2} + 11x - 4[/tex]