Answer:
3.75 L
Step-by-step explanation:
3 liters / 36 m^2 = x liters / 9 x 5 m^2
3 liters / 36 m^2 = x liters / 45 m^2
(45)(3) = (x)(36)
(135) = (x)(36)
x = (135)/(36)
x= 3.75 L
The measure of arc MQL IS degrees
Answer: 214 degrees
Step-by-step explanation:
Mrs. Trevino was asked to provide at least 120 bagels for a workshop. She already has 2 dozen bagels. Mrs. Trevino will buy the remaining bagels in packages of 6. which inequality shows all the values of x if x equals the number of packages or bagels she could buy, beginning wath the minimum value of x? You must write and solve an inequality to receive credit.
First, we have "at least 120 bagels"
So we write ≥120 bagels.
Now, we are given that:-
Mrs. Trevino already has 2 dozen bagels.
Remember, a dozen is equal to 12, so if we have 2 dozen, then we have
[tex]\sf{2*12=24}\longleftarrow\sf{Mrs.Trevino~already~has~24~bagels}[/tex]
Now, she'll buy the remaining bagels in packages of 6, so we write
6x (packages of 6)
So the inequality looks like so:-
[tex]\sf{6x+24\geq 120}[/tex]
Now, let's solve the inequality :)
First, subtract 24 from both sides:-
[tex]\sf{6x\geq 120-24}[/tex]
[tex]\sf{6x\geq 96}[/tex]
Divide both sides by 6:-
[tex]\bigstar{\boxed{\pmb{x\geq 16}}}\longleftarrow\sf{number~of~packages~she~should~buy}[/tex]
note:-Hope everything is clear :)
Which sequence of transformations shows that Figure A is similar to Figure B?
Rotate Figure A 180º about the origin, then dilate it with the center at the origin and a scale factor of 2.
Rotate Figure A 90º about the origin, then dilate it with the center at the origin and a scale factor of 2.
Reflect Figure A across the y-axis, then dilate it with the center at the origin and a scale factor of 12.
Dilate Figure A with the center at the origin and a scale factor of 2, then translate it to the left 4 units.
Answer:
That would be the second option: Rotate Figure A 90º about the origin, then dilate it with the center at the origin and a scale factor of 2.
-yOuR nEiGhbOrhOoD cLEaNeR ;)
simplify exponents please! need the answer immediately.
Answer:
[tex]\frac{w^{6} }{9 }[/tex]Step-by-step explanation:
Given
[tex]\frac{3^{-2}*k^{0}*w^{0} }{w^{-6} }[/tex]Remember :
Any term raised to the power 0 is equal to 1Solving
[tex]\frac{3^{-2} }{w^{-6} }[/tex][tex]\frac{w^{6} }{9}[/tex]Answer:
[tex]\huge\boxed{\bf\:\frac{w^{6}}{9}}[/tex]
Step-by-step explanation:
[tex]\frac{ 3 ^ { -2 } \times k ^ { 0 } \times w ^ { 0 } }{ w ^ { -6 } }[/tex]
Any number with 0 as its exponent will be equal to 1. So,
[tex]\frac{3^{-2} \times 1 \times 1}{w^{-6}}\\= \frac{3^{-2}}{w^{6}}[/tex]
Now,
[tex]\frac{3^{-2}}{w^{6}}\\= 3^{-2}w^{6}[/tex]
Then,
[tex]3^{-2}w^{6}\\= \frac{1}{3^{2}}w^{6}\\= \frac{1}{9}w^{6}\\= \boxed{\bf\:\frac{w^{6}}{9}}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
*HIGHER POINTS* Solve for m<A
Answer:
The answer should be about 114.
Step-by-step explanation:
Of you look at the shape of the other angles. B and D seem to be about 90 and the shape of A is just a little bit bigger than ninety. I started by adding 78, 90, and 90 together which gave me 246. Then I subtracted 246 from 360 which gave me 114. I had estimated the answer to be around 110.
pleas help in math!! i need an explanation on how you got he answer too please!!
(no links please!)
Answer:
a = 70 degrees.
Step-by-step explanation:
Use this circle angle theorem:
The angle subtended by an arc at the center of a circle = 2 times the angle subtended by the arc on the circumference.
So m < a = 1/2 * 140 = 70 degrees.
The following points lie on a certain line.
х, у
-2, -11
1. -5
4, 1
6, 5
What is the equation of the line?
Oy=-3x + 3
Oy - 2x - 3
Oy - 2X-7
o y = -4x + 2
[tex]y = 2x - 7[/tex]
should be it
what is the inverse of f(x)=x^2+5
Answer:
[tex]\sqrt{X-5}[/tex], [tex]-\sqrt{X-5}[/tex]
Step-by-step explanation:
Replace X with Y
solve for Y; X = Y^2 + 5
subtract 5 from both sides
X - 5 = Y^2
take the square root
Y = plus or minus sqrt(X-5)
sqrt(X-5); -sqrt(X-5)
f(x)=2x^3-6x+k and the remainder when f(x) is divided by x+1=7 then what is the value of k
Given: f(x)=2x(cube)-6x+x
reaminder of f(x) when (x+1) diveded
to find value of k
solution,
f(x)=2x(cube)-6x+k
f(-1)=7
2(-1)(cube)+6+k=7
4+x=7
k=7
Hence,k=7
The population of a city is given by P(t) = Poe
-0.04t where t is time measured in years and
P0 is the population at time t=0. Assume that Po = 1,000,000.
a. Find the population when t=3.
b. During what year will the population drop below 750,000. (solve an equation, no
guess-and-check)
Answer:
a. 885,920
b. year 8
Step-by-step explanation:
The population at a given time is described by the exponential formula ...
P(t) = P0·e^(-0.04t)
where P0 is given as 1,000,000.
a.We are asked for the value of P(3). This ccan be found by substituting 3 for t in the equation and evaluating the numerical expression.
P(3) = 1,000,000·e^(-0.04·3) = 1,000,000·e^(-0.12)
P(3) ≈ 886,920
The population when t=3 is about 886,920.
__
b.We can put the given numbers in the equation and solve for t.
750,000 = 1,000,000·e^(-0.04t)
0.75 = e^(-0.04t) . . . . . divide by 1,000,000
ln(0.75) = -0.04t . . . . . take the natural log
-ln(0.75)/0.04 = t ≈ 7.192
The population will drop below 750,000 in year 8.
_____
Additional comment
These values can be confirmed by a graphing calculator.
Note that "year 1" is the year between t=0 and t=1. So, "year 8" is the year between t=7 and t=8.
Please help with this problem. I don’t understand the answer for this equation. The answer for this equation is 7/2( a+ b) i’m just not understanding where the seven is coming from.
Answer:
7/2(a+b)
Step-by-step explanation:
To add fractions you need to find the LCM (least common multiplier) and then combine.
least common multiplier of a+b, 2(a+b) : 2(a + b)
Adjust fractions based of LCM
2/2(a + b) + 5/2(a +b)
2+5/2 (a + b) =
7/2 (a + b)
I hope this makes sense! :)
How many pieces of tape measuring 2/3 meter can be cut from a roll of tape that measures 5 1/3 meters
how many pieces of tape can be cutted.
solution:[tex]5 \frac{1}{3} \div \frac{2}{3} [/tex]
[tex] = (5 + 0) + ( \frac{1}{3} + \frac{2}{3} )[/tex]
[tex] = 5 + \frac{1 + 2}{3} [/tex]
[tex] = 5 + \frac{3}{3} [/tex]
[tex] = 5 + \frac{3 \div 3}{3 \div 3} [/tex]
[tex] = 5 + \frac{1}{1} [/tex]
[tex] = 6[/tex]
therefore, 6 pieces of tape can be cutted.
Which is the graph of g(x) = (0.5)x + 3 – 4?
On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = negative 4. It crosses the y-axis at (0, negative 4).
On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = 3. It crosses the y-axis at (0, 3).
On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = negative 4. It crosses the y-axis at (0, 4).
On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = 4. It crosses the y-axis at (0, 12).
Mark this and return
Answer:
the graph will be an exponential function that crosses the y-axis at about (0, -4).
Step-by-step explanation:
Answer:
The answer is the first graph.
Step-by-step explanation:
I just did the quiz
PLEASE HELP NOW!! NO LINKS PLEASE!
The wholesale price for a bookcase is $189. a certain furniture store marks up the wholesale price by 19%. find the price of the bookcase in the furniture store. round your answer to the nearest cent, as necessary.
Answer:
it is 35.91, 36 to the nearest cent
Step-by-step explanation:
I don't know how to explain it to u sorry
An angle measures 46° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
68 and 22 degrees
Step-by-step explanation:
Complimentary angles sum to 90
x + (x-46) = 90
2x = 90 + 46
2x = 136
x = 68 and the other is 68 - 46 = 22
Find the measure of angle A.
(BRAINLIEST :D)
Answer:
180 - 90 - 60
Step-by-step explanation:
all internal angles of a triangle add up to 180. this means A must be equal to 180 - 90 - 60 = 30
Answer:
30
Step-by-step explanation:
A triangle always = 180 degrees :)
So first we can add :D
60 + 90 + a = 180
150 + a = 180
Now we subtract :)
180 - 150 = 30
The answer is 30!
Have an amazing day!!
Please rate and mark brainliest!!
a cylindrical tank has a diameter of 24 dm And a height of 30, dm.how many litters of a water can it hold when full (1 dm³ = 1 L)
The function P(x)=x^3−2x^2 is dilated by the function I(x)=P(4x).
Which function rule represents I(x)?
A.) I(x)=4x^3−8x^2
B.) I(x)=64x^3−32x^2
C.) I(x)=4x^3−2x^2
D.) I(x)=64x^3−2x^2
Answer:
Its C
Step-by-step explanation:
Why? because its C
You buy a car from your neighbor at a price of $9,000. You pay $500 down and pay 9.5% on the balance. If you make monthly payments of $200, how many months (to the nearest hundredth of a month) will it take to pay off the loan? (Hint: Solve for N.)
If the monthly payments mad s $200, the number of months it would take to pay off the loan is 46.54 months.
How many months would it take to pay off the loan?The first step is to determine the total value of the loan.
Total value of the loan = (1 + interest) x amount of the loan
Amount of the loan = 9000 - 500 = $8,500
Total value of the loan = (1.095) x $8500 = $9307.50
Number of months it would take to pay off the loan = total value of the loan / monthly payments
$9307.50 / 200 = 46.54 months
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The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 110I I2 + I + 4 where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum? I = thousand foot-candles
Using the vertex of a quadratic equation, it is found that P is at a maximum for l = -0.5 thousand foot-candles.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the function for P is given by:
[tex]P(l) = \frac{110l}{l^2 + l + 4}[/tex]
The function will be at a maximum when the denominator is at a minimum. The denominator is a quadratic function with coefficients a = 1, b = 1, c = 4, hence:
[tex]l_v = -\frac{b}{2a} = -\frac{1}{2} = -0.5[/tex]
P is at a maximum for l = -0.5 thousand foot-candles.
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#SPJ1
Compute x/y if
x + 1/y = 4 and
y + 1/x = 1/4
Please explain the process on how to solve it- I'll give brainliest!
Let first consider the equations one by one and will be solving one by one ;
[tex]{:\implies \quad \sf x+\dfrac{1}{y}=4}[/tex]
Multiplying both sides by y will lead ;
[tex]{:\implies \quad \sf xy+1=4y}[/tex]
[tex]{:\implies \quad \boxed{\sf xy=4y-1\quad \cdots \cdots(i)}}[/tex]
Now, consider the second equation which is ;
[tex]{:\implies \quad \sf y+\dfrac{1}{x}=\dfrac14}[/tex]
Multiplying both sides by x will yield
[tex]{:\implies \quad \sf xy+1=\dfrac{x}{4}}[/tex]
[tex]{:\implies \quad \sf xy=\dfrac{x}{4}-1}[/tex]
[tex]{:\implies \quad \boxed{\sf xy=\dfrac{x-4}{4}\quad \cdots \cdots(ii)}}[/tex]
As LHS of both equations (i) and (ii) are same, so equating both will yield;
[tex]{:\implies \quad \sf 4y-1=\dfrac{x-4}{4}}[/tex]
Multiplying both sides by 4 will yield
[tex]{:\implies \quad \sf 16y-4=x-4}[/tex]
[tex]{:\implies \quad \sf 16y=x}[/tex]
Dividing both sides by y will yield :
[tex]{:\implies \quad \boxed{\bf{\dfrac{x}{y}=16}}}[/tex]
Hence, the required answer is 16
The cubic root of 400 lies between which two numbers?
Answer:
Let x = cube root of 400
Using a calculator x = 7.368 to 3 decimal places
So: 7 < x < 8
another question !!!
Answer:
All are complementary angles
Step-by-step explanation:
See attachment
A washer and dryer cost a total of $1184. The cost of the washer is three times the cost of the dryer. Find the cost of each of them.
The cost of a washer is $1184 while the cost of a drier is $296
Word ProblemGiven Data
Total cost of washer and dryer = $1184let the cost of a washer be = wlet the cost of a drier be = dHence,
w+d = 1184 -------------1
we know that the cost of the washer is three times the cost of the dryer.
w = 3d -------------------2
put w = 3d in equation 1
3d + d = 1184
4d = 1184
d = 1184/4
d = 296
The cost of a drier is $296
put d = $296 in equation 2
w = 3*296
w = $888
Check:
$888+$296 = $1184
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A rhombus has a perimeter of 52 inches. It’s shorter diagonal is 10 inches in length. which of the following is the length of its longer diagonal?
Answer:
ok it's a good question... so answer to that is... I also don't know..
6 minutes3 minutes3 minutes 5 minutes 1 minute 3 minutes What is the mode
Answer:
the answer is 3.
Step-by-step explanation:
mode if what numberhappens most often
Tumbleweed, commonly found in the western United States, is the dried structure of certain plants that are blown by the wind. Kochia, a type of plant that turns into tumbleweed at the end of the summer, is a problem for farmers because it takes nutrients away from soil that would otherwise go to more beneficial plants. Scientists are concerned that kochia plants are becoming resistant to the most commonly used herbicide, glyphosate. In 2014 , 19. 7% of 61 randomly selected kochia plants were resistant to glyphosate. In 2017 , 38. 5% of 52 randomly selected kochia plants were resistant to glyphosate. Do the data provide convincing statistical evidence, at the level of α=0. 05 that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate
Using the z-distribution, it is found that the data provides convincing evidence that the proportion has increased.
What are the hypotheses tested?At the null hypotheses, it is tested if the proportion has not increased, that is, the difference of the 2017 proportion and the 2014 proportions is not positive, hence:
[tex]H_0: p_2 - p_1 \leq 0[/tex]
At the alternative hypothesis, it is tested if the proportion has increased, hence:
[tex]H_1: p_2 - p_1 > 0[/tex]
What are the mean and the standard error for the distribution of differences?For each sample, they are given by:
[tex]p_1 = 0.197, s_1 = \sqrt{\frac{0.197(0.803)}{61}} = 0.0509[/tex]
[tex]p_2 = 0.383, s_2 = \sqrt{\frac{0.385(0.615)}{52}} = 0.0675[/tex]
Hence, for the distribution of differences, they are given by:
[tex]\overline{p} = p_2 - p_1 = 0.383 - 0.197 = 0.186[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0509^2 + 0.0675^2} = 0.0845[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which p = 0 is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.186 - 0}{0.0845}[/tex]
z = 2.2
What is the decision?Considering a right-tailed test, as we are testing if the proportion is higher than a value, the critical value at the 0.05 significance level is [tex]z^{\ast} = 1.645[/tex].
Since the test statistic is greater than the critical value for the left tailed test, the data provides convincing evidence that the proportion has increased.
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i cant figure this problem can you guys help/i cant figure this problem can you guys help?
Answer:
50.0in²
Step-by-step explanation:
C=2πr
25.12/2π=r
r=3.99(taking π=22/7)
Area=πr²
=22/7×(3.99)²=50.0in²
help me with this math question
[tex]\text{Given that,} \sin x = \dfrac{\sqrt 5}3,~~ \text{and}~~~ \sin y =\dfrac{\sqrt 2}2\\\\\\~~~~~~~\sin x = \dfrac{\sqrt 5}3\\\\\implies \sin^2 x = \dfrac 59\\\\\implies 1- \cos^2 x = \dfrac 59\\\\\implies \cos^2 x =1- \dfrac59 \\\\\implies \cos^2 x = \dfrac 49\\\\\implies \cos x = \dfrac 23~~~~~~~;[\text{In quadrant I, all ratios are positive.}]\\\\\\\\[/tex]
[tex]~~~~~~\sin y =\dfrac{\sqrt{2}}2\\ \\\implies \sin y = \dfrac 1{\sqrt 2}\\\\\implies \sin^2 y = \dfrac 12\\\\\implies 1-\cos^2 y = \dfrac 12\\\\\implies \cos^2 y = 1-\dfrac 12=\dfrac 12\\\\\implies \cos y = \dfrac 1{\sqrt 2}\\\\\\[/tex]
[tex]\text{Now,}\\\\\cos(x+y) = \cos x \cos y - \sin x \sin y\\\\\\~~~~~~~~~~~~~~=\dfrac 23 \cdot \dfrac 1{\sqrt 2}- \dfrac{\sqrt 5}3 \cdot \dfrac 1{\sqrt 2}\\\\\\~~~~~~~~~~~~~~=\dfrac{2- \sqrt 5}{3\sqrt 2}\\\\\\~~~~~~~~~~~~~~=\dfrac{\sqrt2\left(2 -\sqrt 5 \right)}6[/tex]
The intensity of a radio signal from the radio station varies inversely as the square of the distance from the station. suppose intensity is 8000 units at a distance of 2 miles. what will the intensity be at a distance of 11 miles? round your answer to the nearest unit. a. 247 units b. 228 units c. 264 units d. 290 units
Answer:
The ratio of the new distance to the old distance is (11/2) .
The intensity is inversely proportional to the square of the distance,
so the new intensity will be (2/11)² times the old intensity.
Intensity = 8,000 (2/11)² =
32,000 / 121 = 262.463 units
Rounded to the nearest whole unit: 262 units
Step-by-step explanation:
264 units of intensity came from a distance of 11 miles option (c) 264 units is correct.
It is given that the intensity is 8000 units at a distance of 2 miles.
It is required to find the intensity at a distance of 2 miles.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The intensity of a radio signal from the radio station varies inversely as the square of the distance from the station.
Suppose the Intensity of the signal is I and the distance is d, then:
[tex]\rm I \propto\frac{1}{d^2}[/tex]
Intensity from the station [tex]\rm I_1=8000 \ units[/tex]
[tex]\rm I_1[/tex] intensity at distance [tex]\rm d_1=2 \ miles[/tex]
Intensity from the station [tex]=\rm I_2[/tex]
[tex]\rm I_1[/tex] intensity at distance [tex]\rm d_2=11 \ miles[/tex]
[tex]\rm \frac{I_2}{I_1} = \frac{d_1^2}{d_2^2}[/tex] (From the proportional relation)
[tex]\rm \frac{I_2}{8000} = \frac{2^2}{11^2}[/tex]
[tex]\rm I_2 =8000\times\frac{4}{121} \\\\\rm I_2 = 264.46 \ units[/tex] ≈ 264 units
Thus, the 264 units of intensity came from a distance of 11 miles.
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