Answer:
A. 180Step-by-step explanation:
5×6= 30
150+30
= 180
Answer:
a
Step-by-step explanation:
x/150=6/5
x=6/5×150=6×30=180 inches.
When 3 liters of oil are removed from an upright cylindrical can, the level falls by 10cm. Find the radius of the can
Answer:
9.8 cm
Step-by-step explanation:
Volume of a cylinder can be gotten with this formula
V=πr2h
h = height of the oil.
We were told that 3 litres of oil was removed, then, there is a falling in the level of oil by 10 cm, hence the height of the oil is now
h° =( h) - (0.1)
Then the new volume can be calculated as
V°= V - (3×10^-3)
But
volume= (π r2h°)
Then substitute we have
πr2h - 0.003 = π r2 (h-0.1)
If we open the bracket we have
0.003 = (πr2 ×0.1)
πr2=0.003/0.1
Then r=√ (0.03/0.1π)
=9.8 cm
Note that 1L = 10-3 m3
The figure shown to the right is an isosceles triangle, and
R is the midpoint of PS.
The fig
labeled
A. Explain when it is appropriate to use the statement PT TS.
P
R
S
B. Explain when it is appropriate to use the statement PT = TS.
Answer:
We know that an isosceles triangle has 2 of its sides being equal
With R, being the midpoint of PS, we can say that
PR=RS
Noting that, with R as midpoint, we can conclude that RT is a straight line which divides angles TPR and TSR into 2 right angle triangles
Step-by-step explanation:
therefore angle at P is 45°. Angle at S also 45°
Therefore PT = TS
This is because T is 45 degrees as well as P which is also 45 degrees
angle in triangle PTS is 180 degrees
R is 90 degrees, P is 45 degrees and the whole of T is also 45 degrees(which has been split into 2)
You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you construct using these measurements?
Answer:
1
Step-by-step explanation:
Once you have two sides and the included angle, there is only one triangle.
Answer: 1
Answer:
The answer is B. 1
Step-by-step explanation:
I hope I helped
Maddie guessed that there were
1,905 candies in the jar.
What is the value of the 9?
Answer:
hundreths the 9 represents 900
Step-by-step explanation:
Answer:
900
Step-by-step explanation:
1,905
Expand the number
1000 + 900 + 5
900 is the value of the 9
which value of g makes 26=7(g-9)+12 a true statment
Answer:
11
Step-by-step explanation:
26=7(g-9)+12
14=7(g-9)
2=g-9
g=11
HELP.... please??????????????
Answers:
Functions
y = -x+11y = 2x^2-6x+4y = -7Not functions
x = 3x^2+y^2 = 81y^2 = -5x-12=======================================================
Explanation:
A function is possible if and only if any given x input leads to exactly one y output.
For something like x^2+y^2 = 81, we can see that x = 0 leads to either y = 9 or y = -9. So this would not be a function. We would need x to pair with only y value to have it be a function.
We have the same thing going on with y^2 = -5x-12 as well.
For anything of the form x = k, where k is any real number, this is also not a function. We have one single input only and it leads to infinitely many outputs. So in a sense, this is even worse compared to the other examples.
-----------------
In summary, we have these three non-functions:
x = 3x^2+y^2 = 81y^2 = -5x-12Everything else is a function. You can use the vertical line test as a visual way to check.
Question: "If y > 3, what is the value of n ?"
Answer:
y-3
Problem:
What is the remainder when the dividend is xy-3, the divisor is y, and the quotient is x-1. ?
Step-by-step explanation:
Dividend=quotient×divisor+remainder
So we have
xy-3=(x-1)×(y)+remainder
xy-3=(xy-y)+remainder *distributive property
Now we just need to figure out what polynomial goes in for the remainder so this will be a true identity.
We need to get rid of minus y so we need plus y in the remainder.
We also need minus 3 in the remainder.
So the remainder is y-3.
Let's try it out:
xy-3=(xy-y)+remainder
xy-3=(xy-y)+(y-3)
xy-3=xy-3 is what we wanted so we are done here.
I need help please!!!!
what should be added to 4.289 to get 11
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{We do not know the unknown number just yet so we will label it}\\\large\text{as the variable of \boxed{\bf n}}\large\text{ until we find the result of the unknown}\\\large\text{number}[/tex]
[tex]\large\text{So, your equation is now: \underline{\underline{n + 4.289 = 11}} or \underline{\underline{4.289 + n = 11}}}[/tex]
[tex]\large\textsf{n + 4.289 = 11}\\\large\text{SUBTRACT \underline{4.289} to BOTH SIDES}\\\large\text{n + 4.289 - 4.289 = 11 - 4.289}\\\large\text{CANCEL out: 4.289 - 4.289 because that gives you 0}\\\large\text{KEEP: 11 - 4.289 because that helps you get the n-value}\\\large\text{SIMPLIFY ABOVE AND YOU HAVE YOUR RESULT}\\\large\text{n = \bf 6.711}\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \bf 6.711}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Let the number which should be added is x
ATQ
[tex]\\ \sf\longmapsto x+4.289=11[/tex]
Take 4.289 to right[tex]\\ \sf\longmapsto x=11-4.289[/tex]
[tex]\\ \sf\longmapsto x=6.711[/tex]
6.711 should be added to 4.289 to get 11
8/3=12/n solve for n
Answer:
[tex]n=\frac{9}{2}[/tex]
Step-by-step explanation:
[tex]\frac{8}{3} =\frac{12}{n}[/tex]
Cross multiply.
8n=12(3)
8n=36
[tex]n=\frac{9}{2}[/tex]
I hope this helps!
pls ❤ and give brainliest pls
Answer: n = 9/2
Step-by-step explanation:
8/3 = 12/n
Now doing cross multiplication
8/3 = 12/n
8(n) = 12(3)
8n = 36
n = 36/8
n = 9/2
Therefore value of n is 9/2
Must click thanks and mark brainliest
Solve Each of the following equations:
|5x|=3
Answer:
|5x|=3
5x=3 or 5x=-3
divide both side by 5
x=3/5 or -3/5
Step-by-step explanation:
Answer: X = -3/5
X = 3/5
Step-by-step explanation:
-3=5X=3
5X= -3
X= -3/5
5X = 3
X = 3/5
What are the solutions to the system of equations?
{y=2x²−6x+3
{y=x−2
Answer:
x = 1, y = −1
x = 5/2, y = 1/2
Step-by-step explanation:
From the question given above, the following data were obtained:
y = 2x² − 6x + 3 ........ (1)
y = x − 2 ...... (2)
We can obtain the solutions to the equation as follow:
y = 2x² − 6x + 3 ........ (1)
y = x − 2 ...... (2)
Substitute the value of y in equation 2 into equation 1
y = 2x² − 6x + 3
y = x − 2
2x² − 6x + 3 = x − 2
Rearrange
2x² − 6x − x + 3 + 2 = 0
2x² − 7x + 5 = 0
Solve by factorization
Obtain the product of 2x² and 5. The result is 10x².
Find two factors of 10x² such that their sum will result to −7x.
The factors are −2x and −5x.
Replace −7x in the equation above with −2x and −5x as shown below:
2x² − 2x − 5x + 5 = 0
2x(x − 1) − 5(x − 1) = 0
(x − 1)(2x − 5) = 0
x − 1 = 0 or 2x − 5 = 0
x = 1 or 2x = 5
x = 1 or x = 5/2
Substitute the value of x into equation 2 to obtain y
y = x − 2
x = 1
y = 1 − 2
y = −1
x = 5/2
y = x − 2
y = 5/2 − 2
y = (5 − 4)/2
y = 1/2
SUMMARY:
x = 1, y = −1
x = 5/2, y = 1/2
15) The sum of one-fourth, one-ninth and one- third of a number is 25. Find the number.
Answer:
Step-by-step explanation:
(1/4 + 1/9 + 1/3)x = 25.
x = 36
Answer:
Let the number be x
(1/4 + 1/9 + 1/3) * x = 25
25/36 * x = 25
25x = 25*36
x = 25*36/25
x = 36
Step-by-step explanation:
The perimeter of a rectangle is 56 feet and
its area is 192 square feet. What are the
dimensions of the rectangle?
Answer:
Step-by-step explanation:
P = 2(L + W)
Area = L*W
Area = 192
(L + W)*2 = 56
L+W = 28
L = 28 - W
W*(28 - W) = 192
28W - w^2 = 92
-w^2 + 28w - 192 = 0
w^2 - 28w + 192 = 0
This factors into
(w - 12)(w - 16) = 0
w - 12 = 0
w = 12
L = 28 - 12 = 16
What is the solution to this inequality?
-16x>-80
A. x < 5
O B. x>-5
O c. x<-5
O D. x>5
Answer:
A
Step-by-step explanation:
Divide both sides with -16. ALWAYS remember that if you divide any number with a negative number, this "< ≤ > ≥" symbols have to change to the opposite direction
Write in word form.
4. 572
5. 2.897
6. $325.10
Answer:
heyyy thereee
4) 572 = five hundred seventy two
5) 2.897 = two and eight hundred ninety seven thousandths
6) three hundred twenty five and 10 hundredths or three hundred twenty five and 1 tenth
glad if brainliest ig ?
simplify 2 root 3 multiply by root 7
Answer:
[tex]2 \sqrt{3} \times \sqrt{7} = 2 \sqrt{21} = 2 \times 4.58 = 9.16[/tex]
I hope I helped you^_^
Someone help pleaseee
Answer:
see explanation
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = length × breadth
= (2 + [tex]\sqrt{2}[/tex] )(4-2[tex]\sqrt{2}[/tex] ) ← expand using FOIL
= 8 - 4[tex]\sqrt{2}[/tex] + 4[tex]\sqrt{2}[/tex] - 4 ← collect like terms
= 4 units²
--------------------------------------------------------
The opposite sides of a rectangle are congruent , so
perimeter = 2(4 - 2 [tex]\sqrt{2}[/tex]) + 2(2 + [tex]\sqrt{2}[/tex] ) ← distribute parenthesis
= 8 - 4[tex]\sqrt{2}[/tex] + 4 + 2[tex]\sqrt{2}[/tex] ← collect like terms
= 12 - 2[tex]\sqrt{2}[/tex] units
prove that.....cos^2α(cosec^2α-cot^2α)=cos^2α
Step-by-step explanation:
hope this helps. ........
In circle O, and are diameters. The measure of arc AB is 55° and the measure of arc CD is 25°.
Circle O is shown. Line segments A D and B E are diameters. Line segments O F and O C are radii.
What is the measure of Arc E A C?
Your Answer Is in this attachment.
Answer:
D-212 Degrees
Step-by-step explanation
i got it right on edge
see question in image
Answer:
b) 1/9Step-by-step explanation:
Rolling two dice, there are 6*6 = 36 outcomes
The outcomes with the difference of 4:
1&5, 2&6, 6&2, 5&1 - total of 4Required probability:
P = 4/36 = 1/9Correct choice is b
Which composite function can be used to find the
force of the object based on its volume?
The density of titanium is 4.5 g/cm3. A titanium object
is accelerating at a rate of 800 cm/s2. The mass of
the object can be modeled by the function m(v) =
4.5v, where v is the volume in cubic centimeters.
Additionally, the force of the object can be found
using the function F(m) = 800m.
A. F(m(v)) = 177.8V
B. F(m(v)) = 795.5v
C. F(m(v)) = 804.5v
D. F(m(V)) = 3,600V
Given:
The mass function is:
[tex]m(v)=4.5v[/tex]
where v is the volume in cubic centimeters.
The force function is:
[tex]F(m)=800m[/tex]
To find:
The composite function can be used to find the force of the object based on its volume.
Solution:
The composite function can be used to find the force of the object based on its volume is:
[tex]F(m(v))=F(4.5v)[/tex] [tex][\because m(v)=4.5v][/tex]
[tex]F(m(v))=800(4.5v)[/tex] [tex][\because F(m)=800m][/tex]
[tex]F(m(v))=3600v[/tex]
Therefore, the correct option is D.
Answer: F(m(v)) = 3,600v
Step-by-step explanation:DDDD
find the missing side of triangle
Using Pythagoras Theorem
[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{H^2-P^2}[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{29^2-21^2}[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{841-441}[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{400}[/tex]
[tex]\\ \sf\longmapsto B=20[/tex]
A sample of 50 observations is taken from an infinite population. The sampling distribution of : a.is approximately normal because of the central limit theorem. b.cannot be determined. c.is approximately normal because is always approximately normally distributed. d.is approximately normal because the sample size is small in comparison to the population size.
Answer:
a.is approximately normal because of the central limit theorem.
Step-by-step explanation:
The central limit theorem states that if we have a population with mean μ and standard deviation σ and we take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
For any distribution if the number of samples n ≥ 30, the sample distribution will be approximately normal.
Since in our question, the sample of observations is 50, n = 50.
Since 50 > 30, then our sample distribution will be approximately normal because of the central limit theorem.
So, a is the answer.
PLS HELP I'M SOO CONFUSED
Consider the arithmetic senes 336+ 332+328+....+4 Numeric Response 1 The number of terms in the series above is (Record your answer in the numerical-response section below) Your answer DCC Numeric Response 2. The sum of the series above is (Record your answer in the numerical-response section below)
The first term in the series is 336. The second term is obtained by subtracting 4 from the first term; subtract 4 from that to get the third term; and so on. Then the n-th term in the series is
336 - 4 (n - 1)
or
340 - 4n
The last term in this series is 4, so we solve for n :
340 - 4n = 4
336 = 4n
n = 336/4 = 84
The sum of the series is then
[tex]\displaystyle\sum_{n=1}^{84}(340-4n) = 340\sum_{n=1}^{84}1 - 4 \sum_{n=1}^{84}n[/tex]
Recall that
[tex]\displaystyle \sum_{n=1}^{N} 1 = N[/tex]
[tex]\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2[/tex]
Then the sum we want is
[tex]\displaystyle\sum_{n=1}^{84}(340-4n) = 340\times84 - 4\times\frac{84\times85}2 = \boxed{14,280}[/tex]
Please Help I don't get this
Answer:
The choose (D)
Step-by-step explanation:
[tex] \frac{x - 16}{ {x}^{2} + 6x - 40 } + \frac{1}{x + 10} \\ = \frac{x - 16}{(x - 4)(x + 10)} + \frac{1}{x + 10} \\ = \frac{(x - 16) + (x - 4)}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{ {x}^{2} + 6x - 40 } [/tex]
please help. only need to do part b
helpppppppp will mark brainlest
Answer:
-8
Step-by-step explanation:
what do you think, when you look at the examples given in the problem definition ?
don't you see the pattern, that f(x) = x+2 ?
f(1) = 1+2 = 3
f(2) = 2+2 = 4
f(3) = 3+2 = 5
so, if we follow this assumption, then
f(-10) = -10 + 2 = -8
Sara brought a car for 16,586 and paid 1,038 for tax, title, and registration.Which equation shows about how much Sara paid, to the nearest hundred?
Answer:
P+T+t+R=TA
Step-by-step explanation:
this should help
Answer:
17,600
Step-by-step explanation:
16,586 + 1,038 = 17,624 ≈ 17,600
Solve for x 3x+3/x-4 = 3x+2/x+4
Answer:
here you go! with step by step so you can do it next time
Answer:
-7/8
Step-by-step explanation:
cross multiply first then expand the equations when you cross multiply it will be
(3x+3)(x+4)=(3x+2)(x-1)
3x(x+4)+3(x+4)=3x(x-1)+2(x-1)
3x²+12x+3x+12=3x²-3x+2x-2
3x²+15x+12=3x²-x-2
3x²-3x²+15x+x=-2-12
16x/16=-14/16
x=-14/16
simplified to
-7/8
I hope this helps