Answer:
A
Step-by-step explanation:
We cannot take the square root of a negative number without using complex numbers. Because of this, both 5x and x+3 must be non-negative in order for the product to be defined.
5x ≥ 0 implies that x ≥ 0x + 3 ≥ 0 implies that x ≥ -3Both of these are satisfied if and only if x ≥ 0 (note that if x ≥ 0, then x is automatically greater than or equal to -3). Therefore, the correct answer is x ≥ 0.
Se arrastra un bloque de 18 kg a través de una superficie con una fuerza de 300 N en donde el coeficiente de fricción de dicha superficie es de 0.6 . Determine la aceleración resultante en m/s2 que lleva el bloque aproximando el resultado a las décimas.
Answer:
[tex]10.9\ \text{m/s}^2[/tex]
Step-by-step explanation:
m = Masa del bloque = 18 kg
F = Fuerza en el bloque = 300 N
[tex]\mu[/tex] = Coeficiente de fricción = 0.6
El equilibrio de fuerzas del sistema viene dado por
[tex]F-f=ma\\\Rightarrow 300-0.6\times 18\times 9.81=18a\\\Rightarrow a=\dfrac{300-0.6\times 18\times 9.81}{18}\\\Rightarrow a=10.9\ \text{m/s}^2[/tex]
La aceleración del bloque es [tex]10.9\ \text{m/s}^2[/tex].
The table shows the heights of students in a group.
Student Height (in inches)
A 45
B 48
C 49
D 40
E 53
What is the mean height of the students in the group?
A 47 inches
B 49 inches
C 51 inches
D 53 inches
plzzz help
Answer:
A 47 inches
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Please help!!!!!!!!!!ASAP!!!
In triangle abc ma=70 and mb=35, Select the triangle that is similar to triangle ABC
Answer:
Its D!
Step-by-step explanation:
all you have to do for the triangles to be simialr is they have to add up to the same number.
In triangle abc ma=70 and mb=35 add those gives you 105
and in triangle mnp and M<N =70 which also gives you 105
since u get the same answer their similar!
Hope this helps!
PLEASE HELP ASAP NO TROLLING PLEASE. HELP FIND MISSING TERM
Answer:
-3x is the answer
Step-by-step explanation:
Answer:
-3x
Hopefully this helps lol
Given that mDE = 49° and mFG = 12°, find mFE.
Answer:
mFE = 119°Explanation:
mGB = 90°
mGB = mBD
∴ mGD = 180°
⇒ mFE = 180 - (mDE + mFG)
mFE = 180 - (49 + 12)
mFE = 180 - 61
mFE = 119°
Answer:
119°
Step-by-step explanation:
[tex] In\: \odot A, [/tex] GD is diameter.
[tex] \therefore m\widehat{GFD} = 180\degree [/tex]
[tex] \because m\widehat {FG} +m\widehat {DE} = m\widehat {FE} \widehat{GFD} [/tex]
[tex] \therefore m\widehat {FG} +m\widehat {DE} + m\widehat {FE} = 180\degree [/tex]
[tex] \therefore 49\degree +12\degree + m\widehat {FE} = 180\degree [/tex]
[tex] \therefore 61\degree + m\widehat {FE} = 180\degree [/tex]
[tex] \therefore m\widehat {FE} = 180\degree - 61\degree [/tex]
[tex] \therefore m\widehat {FE} = 119\degree [/tex]
The temperature was 70 then dropped to 30 how much is it now?
Answer:
nmdjskln Jdj
Step-by-step explanation:
helppppp plzzz i will give brainiest im alost out of time
Answer:
[tex]10b^2-2b-6[/tex]
Step-by-step explanation:
Perimeter is 2(A+B)
[tex]5b^{2} -3b+2+2b-5\\5b^{2} -b-3\\2(5b^2-b-3)\\10b^2-2b-6[/tex]
(50 points) Write an equation for the sine waves.
Answer:
It started from the Origin(Sine graph). It curved upwards immediately it started... Meaning graph's amplitude is gonna be positive one
The Equation for a sine graph is ASin[B(x-C)] + D
A=Amplitude
B= 2π/period
C= c value at the starting point.
D= y value at starting point
Let your Starting point be at the sinusoidal axis (Max + Min)/2.
Looking at this graph
Let's take 1cm on the y axis to be 1unit(1,2,3,4...)
On the x axis... let's take 1cm to be π units(π,2π,3π....)
To get the sinusoidal axis Max - Min/2
Since 1cm is 1unit
Max =1 (from the graph)
Min= -1
1-1/2 = 0
The axis is at the center of middle
Meaning
D=y=0(Its directly at the x axis)
From this axis at the origin... The graph goes... Intercept Maximum... intercept Minimum... Meaning its a Positive sine graph.
A=amplitude = 1cm
B=Period...(Time to complete one Oscillation)
It doesn't fall directly on an x value... It falls at the 1.9th position. or 19/10
B=2π/Period.
B=2π/19/10
B=2π x 10/19
B=20π/19
C=0
Writing the Equation
Y= 1Sin[20π/19(x-0)] +0
ie
Y = Sin [20πx/19]
My thoughts on it
Correct me if wrong... Thanks
the area of a square is 225cm². On the map drawn to scale 1 : 3 find the area of the square
Answer:
25 cm^2
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Area if a square = length²
225 = length²
length = √225
length = 15
if the map is drawn to scale of 1 : 3
the length on the map = 15/3 = 5
area of the square 5 x 5 = 25
Pls I’m begging my soul
Answer:
2.
3p+15−8+11p
=3p+15+−8+11p
Combine Like Terms:
=3p+15+−8+11p
=(3p+11p)+(15+−8)
=14p+7
Answer:
=14p+7
3.
Let's simplify step-by-step.
14p+15−8
=14p+15+−8
Combine Like Terms:
=14p+15+−8
=(14p)+(15+−8)
=14p+7
Answer:
=14p+7
4. Factor 14p+7
14p+7
=7(2p+1)
Answer:
7(2p+1)
Describe how the graphs of y = |x| and y = |x+2| are related.
A. The two graphs have the same shape but the second graph is shifted 2 units right.
B. The two graphs have the same shape but the second graph is shifted 2 units up.
C. The two graphs have the same shape but the second graph is shifted 2 units left.
D. The two graphs have the same shape but the second graph is shifted 2 units down.
Answer: C
Step-by-step explanation:
A man walks 1500 metres.
On a map this is shown as 3cm.
What is the scale on the map?
The scale on the map is 1 cm for 500 m.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Given that, A man walks 1500 metres. on a map, this is shown as 3 cm.
3 cm = 1500 m
1 cm = 500 m
Hence, The scale on the map is 1 cm for 500 m.
For more references on scale, click;
https://brainly.com/question/841108
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0.326 as a fraction
Answer:
163/500
Step-by-step explanation:
we will not only clearly explain how to get the answer to 0.326 as a fraction, but also prove to you that our answer is correct.
First, note that 1000 multiplied by .326 will get rid of the decimal point. Therefore, make a fraction where the numerator is .326 times 1000 and denominator is 1000 like this:
.326 x 1000
1000
Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:
326
1000
The greatest common factor of 326 and 1000 is 2, which means you can divide the numerator and denominator by 2 and keep the same value:
326 ÷ 2
1000 ÷ 2
And when calculating the numerator and denominator in our fraction above, we get .326 as a fraction in the simplest form possible:
.326 =
163
500
The fish population is decreasing at a rate of 3% per year. In 2002 there were about 2100 fish. Find the fish population in 2010. Round to the nearest whole number
Answer:
Population of fish in 2010 = 1,646 fish (Approx.)
Step-by-step explanation:
Given:
Population of fish in 2002 = 2100 fish
Decrease rate = 3% per year
Find:
Population of fish in 2010
Computation:
Number of year = 2010 - 2002
Number of year = 8 year
A = P[1+r]ⁿ
Population of fish in 2010 = Population of fish in 2002[1+(-3%)]ⁿ
Population of fish in 2010 = 2100[1-0.03]⁸
Population of fish in 2010 = 2100[0.97]⁸
Population of fish in 2010 = 2100[0.7837]
Population of fish in 2010 = 1645.77
Population of fish in 2010 = 1,646 fish (Approx.)
The diameter of a circle is 8 feet. What is the length of a 45° arc?
Answer:
3.14 ft
Step-by-step explanation:
45/360 × 3.14 × 8
= 1/8 × 3.14 × 8 = 3.14 ft
Circle G contains the diameter BC
Find the measure of x and y.
Answer:
x = 24°, y = 53°
Step-by-step explanation:
An inscribed angle is half the measure of its intercepted arc.
arc EC = 2 × ∠ EDC = 2 × 78° = 156°
x = arc BE = 180° - arc EC = 180° - 156° = 24°
------------------------------------------------------------------
arc CD = 2 × CED = 2 × 41° = 82°
arc BD = 180° - arc CD = 180° - 82° = 98° , then
∠ BCD = [tex]\frac{1}{2}[/tex] × 98° = 49°
Then
y + 78° + 49° = 180° (sum of angles in triangle )
y + 127° = 180° ( subtract 127° from both sides )
y = 53°
What is the solution to 2 x minus 8 less-than 12?
Answer:
X less than 10
Step-by-step explanation:
The problem is set up 2x - 8 < 12
So add 8 to both sides to get 2x <20, and then divide by 2 to get x < 10
Answer:
x< or = 9
Step-by-step explanation:
if you try to fill in the equation, the highest you can go without equaling or surpassing 12 would be 9.
2(10)-8=12 but
2(9)-8=10
I really hope this helps, i am sorry if i misunderstood the question....
matthew made slightly larger blanket that was 8 Ft long. Its area is 64 sq ft what is its perimeter?
Answer:
32 ft
Step-by-step explanation:
Given data
Length= 8ft
Area= 64 f^2
Let us find the width
Area= Length*Width
64= 8* Width
Width= 64/8
Width= 8ft
Hence the perimeter= 2L+2W
P= 2*8+2*8
P= 16+16
P= 32 ft
HELP ASAP! THANKS!
Kade is gathering box tops for his school. Last year he was able to collect 312 box tops. Out of 312 box tops, 24 were already expired. He collected 441 box tops this year. How many boxtops will be expired this year if Kade can estimate the number of box tops that will expire this year using the ratio from last year? Round to the nearest whole number.
The number of box tops expired this year is 34.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, Last year he was able to collect 312 box tops. Out of 312 box tops, 24 were already expired.
So, the ratio is 312:24
39:3
13:1
He collected 441 box tops this year.
Here, the ratio is 441/13 =34
Therefore, the number of box tops expired this year is 34.
To learn more about the ratio visit:
brainly.com/question/13419413.
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Today's cafeteria specials at a high school in Westford are a deluxe turkey sandwich and a chef salad. During early lunch, the cafeteria sold 13 turkey sandwiches and 69 chef salads, for a total of $151. During the late lunch, 61 turkey sandwiches and 41 chef salads were sold, for a total of $143. How much does each item cost?
Answer:
chef salads = $2
turkey sandwiches = $1
Step-by-step explanation:
two equations can be derived from the question
13t + 69c = 151 eqn 1
61t + 41c = 143 eqn 2
t = turkey sandwiches
c = chef salads
multiply equation 1 by 61 and equation 2 by 13
793t + 4209c = 9211 eqn 3
793t + 533c = 1859 eqn 4
subtract equation 4 from 3
7352 = 3676c
c =2
substitute for c in equation 1
13t + 69(2) = 151
13t + 138 = 151
13t = 151 - 138
13t = 13
t = 1
Quadrilateral WXYZ has vertices at the points W(-3,2), X(-1,3), Y(0,1), and Z(1,0). Find the slope of side xy.
Answer:
The slope of the side xy is -2
Step-by-step explanation:
To find the slope of the side xy, we use the slope formula
we have the formula as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (-1,3)
(x2,y2) = (0,1)
m = (1-3)/(0 + 1) = -2/1 = -2
Given: BD ≅ DE, CD ≅ DF
Prove: BC ≅ EF
answer:
statements
1. BD ≅ DE
2. CD ≅ DF
3. ∠BDC ≅ ∠EDF
4. ▲BDC = ▲EDF
5. BC ≅ EF
reasons
1. given
2. given
3. definition of vertical angles
4. SAS
5. CPCTC
step-by-step explanation:
vertical angles are equalSAS means side-angle-side — two triangles are congruent when they meet the "requirements" for SASCPCTC means corresponding parts of congruent triangles are congruent — when two triangles are congruent, their corresponding parts are also congruentplease answer to the best of your ability
Answer:
C:reflection accross the x axis
Step-by-step explanation:
The cone and the sphere have the same volume. The diameter of the cone is 24 cm, and the diameter of the sphere is 18 cm.
What is the HEIGHT of the CONE? Use 3.14
hii i’ll give brainliest please help thanks :)
Answer:
a
Step-by-step explanation:
Susie flips a coin three times. what is the probability of her getting tails all three times?
Answer:
18
Step-by-step explanation:
Hoped this helped!!
Answer:
1/8 or 12.5%
Step-by-step explanation:
It is a 0.5 percent chance of getting tails in a coin flip. Since you flip the coin three times, multiply the probability of getting tails in a coin flip three times. (0.5) Times (0.5) Times(0.5)= 1/8 or 12.5%.
what graph represents the solution of 3t + 1 ≤ 5?
Somebody please help.
Lillian has b buttons. She gives away 72 buttons. Write an expression that shows the number of buttons Lillian has left.
Answer:
b-72
Step-by-step explanation:
an expression does not have an answer. she has b amount of buttons and gives away 72.
A cone of day has a radius of 6 cm and a height of 20 cm. What is its volume?
Help ASAP !! ❤️
Answer:
[tex] \frac{1}{3} \times \pi \times {r }^{2} \times h \\ \frac{1}{3} \times 3.14 \times 36 \times 20 \\ \\ = 753.6 {cm}^{3} [/tex]
either you can write it in terms of π
Answer:
ok so this is the solution go to search and look up the question you posted and it will give you the answer
THIS IS WHAT I found HOPE THIS HELPED
Step-by-step explanation:
Solution
753.98224cm³- think this is the answer check your answer choices to see if you have this choice 753.98224cm³
if not let me know 753.98224cm³