x - (- 278) = - 12
x + 278 = - 12
x = - 12 - 278
x = -290
_____
Hope it helps ⚜
Answer:
- 290Step-by-step explanation:
= > x-(-278) = - 12
= > x + 278 = -12
= > x = -12 - 278
= > x = - 290
Hope it helps you!!!
simplify [Xn (X'nY)]'.
Answer:
(X'U'Y) + (XUY')
Step-by-step explanation:
Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:
[Xn(X'nY)]' = (Xn)' + (X'nY)'
Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:
(Xn)' + (X'nY)' = (X'U'Y) + (XUY')
where U represents the logical operator "or".
Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').
what is the perimeter of the shape
Answer:that is an s
Step-by-step explanation:
si quema cuh
Can you solve this?: 5+2x=12+x
Answer:
5+2x=12+x
put all numbers and Xs on one side each
-x=7
so x=-7
Which must be true in order for the relationship
ZYX WVU to be correct?
N
ZY || WV
ZZZY and ZW=ZV
ZY YX and WV = VU
ZZZW and ZX=ZU
According to the AA similarity theorem, the statement that must be true is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
What is the AA Similarity Theorem?The AA similarity theorem states that if two angles in one triangle is congruent to two corresponding angles in another triangle, then both triangles are similar.
For △ZYX ~ △WVU, any two pairs of corresponding angles must be congruent.
Therefore, the statement that must be true based on the AA similarity theorem is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
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1x²- 16x = 20 is mg questions
The solutions to the equation 1x² - 16x = 20 are x = 8 + 2√21 and x = 8 - 2√21.
To solve the quadratic equation 1x² - 16x = 20, we need to rearrange it into the standard form ax² + bx + c = 0. Let's simplify the equation step by step:
1x² - 16x = 20
First, move all terms to one side of the equation:
1x² - 16x - 20 = 0
Now we have a quadratic equation in the standard form. To solve it, we can use factoring, completing the square, or the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For our equation, a = 1, b = -16, and c = -20. Substituting these values into the quadratic formula:
x = (-(-16) ± √((-16)² - 4(1)(-20))) / (2(1))
Simplifying further:
x = (16 ± √(256 + 80)) / 2
x = (16 ± √336) / 2
x = (16 ± √(16 * 21)) / 2
x = (16 ± 4√21) / 2
Simplifying:
x = 8 ± 2√21
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Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
\((ln2x)^{ln3x} \)
how would one differentiate this using logarithmic differentiation?
\(\text{Let,}\\\\~~~~~~~~y = (\ln 2x )^{\ln 3x}\\\\\implies \ln y = \ln\left[(\ln 2x)^{\ln 3x} \right]\\\\\implies \ln y =\ln (3x) \ln( \ln 2x)\\ \\\implies \dfrac{d}{dx}( \ln y) = \dfrac{d}{dx}\left[ \ln (3x) \ln(\ln 2x) \right]\\\\\implies \dfrac 1y\cdot\dfrac{dy}{dx} =\ln(3x) \dfrac{d}{dx} \ln(\ln 2x) + \ln(\ln 2x) \dfrac{d}{dx}( \ln 3x)\\\\\implies \dfrac{dy}{dx} = \left[\ln(3x) \cdot \dfrac 1{\ln 2x} \cdot \dfrac 1{2x} \cdot 2 + \ln(\ln 2x) \cdot \dfrac 1{3x} \cdot 3\right]y\)
\(\implies \dfrac{dy}{dx} = \left[\ln(3x) \cdot \dfrac 1{\ln 2x} \cdot \dfrac 1{2x} \cdot 2 + \ln(\ln 2x) \cdot \dfrac 1{3x} \cdot 3\right]y\\\\\\\implies \dfrac{dy}{dx} = \left[\dfrac{\ln(3x)}{x \ln(2x)}+ \dfrac{\ln(\ln 2x)}{x}\right](\ln 2x)^{\ln 3x}\)
A class of 30 music students includes 13 who play the piano, 15 who play the guitar, and 9 who play both the piano and the guitar. How many students in the class play neither instrument?
Answer: 2
Step-by-step explanation:
As given, out of 30 students, 15 play guitar and 13 play piano, thats 28.
Among these, 9 play both the guitar and the piano.
That means, only 2 remaining students play neither instrument. (30-15-13)
A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram.
A circle labeled satellite 55 overlaps a circle labeled cable 75. Overlap is labeled 12. 4-column table with 3 rows. First column has no label with entries satellite, not satellite, total. Second column is cable with entries blank, 51%, blank. Third column is not cable with entries a, b, blank. Fourth column is labeled total with entries blank, blank, 100%.
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.
a = 82%, b = 3%
a = 38%, b = 50%
a = 38%, b = 3%
a = 93%, b = 19
The correct answer is:
a = 43%
b = 88%
To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.
From the Venn diagram, we can gather the following information:
The circle labeled "satellite" has a value of 55.
The circle labeled "cable" has a value of 75.
The overlap between the two circles is labeled as 12.
Using this information, we can complete the table:
First column - "Satellite":
Entries: Satellite, Not satellite, Total
Total: 55 (as given in the Venn diagram)
Second column - "Cable":
Entries: Blank, 51%, Blank
To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).
Cable: 75 - 12 = 63
Therefore, the entry becomes: Blank, 51%, Blank
Third column - "Not Cable":
Entries: a, b, Blank
To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).
a: 55 - 12 = 43
To find the value for "b," we subtract the overlap (12) from the total number of households (100).
b: 100 - 12 = 88
Therefore, the entries become: 43, 88, Blank
Fourth column - "Total":
Entries: Blank, Blank, 100%
The total number of households is given as 100% (as stated in the question).
Therefore, the values of a and b in the relative frequency table are:
a = 43% (rounded to the nearest percent)
b = 88% (rounded to the nearest percent)
Hence, the correct answer is:
a = 43%
b = 88%
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The volume of a right cone is 168π units^3. If its diameter measures 12 units, find its height
Answer:
14 unitsStep-by-step explanation:
In the question, it is given that a right cone has a diameter of 12 units and volume of 168π units³ and we have to find the height of the cone.
\( \: \)
To Find the height of the cone, we must know this formula :
\(\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { \dfrac{1}{3} \: \pi r^2h ={ Volume_{(cone) }}}}}}}}} \\ \\\)
Where,
r refers to the radius of the cone. Here, the diameter is 12, Therefore the radius will be 6 units.h refers to the height of the cone.Now, we will substitute the values in the formula :
\(\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \pi \times (6)^2 \times h = 168 \pi}}}}}}} \\ \\\)
Cancelling π from both sides we get :
\(\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \cancel\pi \times 36 \times h = 168 \cancel\pi}}}}}}} \\ \\\)
\(\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \ \times 36 \times h = 168 }}}}}}} \\ \\\)
\(\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{36}{3} \times h = 168 }}}}}}} \\ \\\)
\(\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { 12 \times h = 168 }}}}}}} \\ \\\)
\(\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { h = \frac{168}{12} }}}}}}} \\ \\\)
\(\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { h ={14 }}}}}}}} \\ \\\)
Therefore,
The height of the cone is 14 units .Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Answer:
Brand A Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^
al realizar una investigación sobre la preferencia que los estudiantes tienen del estudio con música ambiental ¿cual seria variable importante en la investigacion? ¿ como la representarias? ¿por que?
Answer:
Step-by-step explanation:isusususus
You deposit $6000 into an account that earns simple interest at an annual rate of 5%. How much interest does the account earn after 3 months?
The interest earned after 3 months is $75
What is simple interest?
The simple interest on a deposit is the principal deposited multiplied by the interest and the time the deposit lasted
I=PRT
I=interest=unknown
P=principal=$6000
R=interest rate=5%
T= 3 months=0.25 year
I=$6000*5%*0.25
I=$75
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Answer:
75 dollars
Step-by-step explanation:
i got it right
A railroad crew can lay 7 miles of track each day. They need to lay 196 miles of track. The length, L (in miles), that is left to lay after d days is given by the following function.
L (d) = 196 - 7d
(a). How many days will it take the crew to lay all the track?
(b) How many miles of track does the crew have left to lay after 19 days?
The number of miles of track does the crew have left to lay after 19 days is 63 miles.
The given equation is L (d) = 196 - 7d.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
a) Number of days will it take the crew to lay all the track = 196/7
= 28 days
b) Number of miles of track does the crew have left to lay after 19 days
L (d) = 196 - 7d
Put d=19 in the given equation
We get L=196 - 7(19)
= 196 - 133
= 63 miles
Therefore, the number of miles of track does the crew have left to lay after 19 days is 63 miles.
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I need help !! 3 questions for Algebra please
Answer:
the questions of Albania we don't know language of albera please don't disturbance and give me 10 marks
Joe told Mickey he got an hourly raise at work and his new rate will be $10.25 per hour. Mickey wants to know what Joe’s hourly rate was before his raise. If r represents the amount of the raise, which expression represents Joe’s hourly rate before his raise?
Answer:10.25-r= hourly rate
Step-by-step explanation:
IF THERE ARE 12 RUNNERS IN A RACE , HOW MANY DIFFERENT ORDERS COULD THE ALL RUNNERS FINISH?
Answer:
12
1,2,3,4,5,6,7,8,9,20,11,12
DUE TDYYYYY!!!!!!!??
The values that used to create the box and whisker plot
[using these values]
Minimum value: Lower whisker: 12
Q1: 23.5
Q2 (median): 36
Q3: 46
Maximum value: Upper whisker: 56
Here, we have,
Step 1: Order the data set from smallest to largest:
12, 19, 28, 32, 34, 38, 45, 47, 50, 56
Step 2: Calculate the lower quartile (Q1), median (Q2), and upper quartile (Q3):
Q1 (25th percentile): The value that separates the lowest 25% of the data from the rest. Since we have 10 data points, the first quartile will be the average of the 2.5th and 3.5th data points. In our case, it's the average of the 2nd and 3rd data points:
Q1 = (19 + 28) / 2 = 23.5
Q2 (50th percentile or median): The value that separates the lowest 50% of the data from the rest. Since we have an even number of data points, the median will be the average of the 5th and 6th data points:
Q2 = (34 + 38) / 2 = 36
Q3 (75th percentile): The value that separates the lowest 75% of the data from the rest. Since we have 10 data points, the third quartile will be the average of the 7.5th and 8.5th data points. In our case, it's the average of the 7th and 8th data points:
Q3 = (45 + 47) / 2 = 46
Step 3: Calculate the interquartile range (IQR):
IQR = Q3 - Q1 = 46 - 23.5 = 22.5
Step 4: Determine the whiskers:
Lower whisker: The smallest value that is not smaller than Q1 - 1.5 * IQR
Upper whisker: The largest value that is not larger than Q3 + 1.5 * IQR
Lower whisker limit: 23.5 - 1.5 * 22.5 = -10
Upper whisker limit: 46 + 1.5 * 22.5 = 79.5
Our data points are all within these limits, so the lower whisker is at the smallest value, 12, and the upper whisker is at the largest value, 56.
Now, you can plot the box and whisker plot using these values:
Minimum value : Lower whisker: 12
Q1: 23.5
Q2 (median): 36
Q3: 46
Maximum value: Upper whisker: 56
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create a box and whisker plot for the following set of data
12, 19, 28, 32, 34, 38, 45, 47, 50, 56
Which equation is the equation of the line, in point-slope form, that has a slope of 2 and passes through the point (-8, 1)?
012 (18)
Y82 (
11
1-2 (+8)
82 (1)
Answer:
y=2x+17
Step-by-step explanation:
y-y1=m(x-x1)
y-1=2(x-(-8))
y-1=2(x+8)
y=2x+16+1
y=2x+17
What is the volume of a sphere with a radius of 41.8 in, rounded to the of a cubic inch?
Answer:
402,124 cubic inches
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere.
Substituting the given radius of 41.8 inches into the formula, we get:
V = (4/3)π(41.8 in)^3
V = (4/3)π(75,927.832 in^3)
V = 402,123.732 in^3
Step-by-step explanation:
Volume of a sphere = 4/3 pi r^3 = 4/3 pi (41.8)^3 = 305,926.7511 in^3
(round as needed)
What is the image point of (2,8) after the transformation rx-axis D₂?
After transformation, the point (-1,2) in the image would be (-1,-2)
What is composition of transformations?Each transformation applied to the prior image is combined into a composition of transformations. The result of a translation is identical to a composition of reflections across parallel lines (twice the distance between the parallel lines). The composite transformation is carried out by multiplying the matrix in order from the right to the left side if it is represented as a column. The output from the preceding matrix is multiplied by the new matrix that will follow.
First, we must mirror the point (-1, 2) around the line y=-x.
(X, Y) is the rule (-y,-x)
you obtain (-1,2)—>(-2,1) (-2,1)
At this point, you must rotate (-2,1) by 90 degrees.
(X, Y) is the rule ( -y,x)
so (-2,1)—> (-1,-2) (-1,-2)
After transformation, the point (-1,2) in the image would be (-1,-2)
The complete question is,
What is the image point of (-1,2) after the transformation R 90° ry=-x
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If you were to make a purchase of $233 and it was on sale for 15% off, how much money would you spend?
Answer:
198.05
Step-by-step explanation:
calculator
How many terms does this have 7y+4z+9
Answer:
3 terms
Step-by-step explanation:
There are 3 terms: 7y, 4z, and 9. To explain simply, terms are a letter, number, or a group of letters and numbers that are multiplied, but not added or subtracted.
Find the measure of the angle.
The angle turns through
1/10
of the circle.
What measure is the angle?
Answer:
radian
Step-by-step explanation:
1/10 circle or degree The SI derived unit for angle is the radian. 1 radian is equal to 1.591549430919 or 1/10 circle, or 57.295779513082 degree.
36 deg
1/10 of a circle is equal to 36 deg.
Use the constant of proportionality to find x when y of s 408.5.
Using the constant of proportionality, the value of x when y = 408.5 is 43.
How to determine the value of x?The complete question is added at the end of this solution
From the question, we have the following parameters that can be used in our computation:
When x = 29, the value of y is 275.5
The constant of proportionality represented by the variable k can be calculated as
k = y/x
So, we have
k = 275.5/29
Evaluate the quotient
k = 9.5
Substitute k = 9.5 in k = y/x
9.5 = y/x
Make the variable x the subject
So, we have
x = y/9.5
When the value of y is 408.5
We have
x = 408.5/9.5
Evaluate the quotient
x = 43
Hence, the value of x is 43
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Possible question
Suppose the relationship between x and y is proportional. When x is 29, y is 275.5. Use the constant of proportionality to find x when y is 408.5.
describe these sets June July january
Answer:
Months that start with the letter "J"
Step-by-step explanation:
A boy walks 3km at a speed of km/h. If the journey takes 35 min, find the value of v.
The value of the speed(v) is 5.14 km/hr
What is speed?Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement. Put another way, speed is a scalar value, while velocity is a vector. Speed is measured in m/s and km/hr
speed = distance / time
distance = 3km
converting the time in seconds to hour,
time = 35 mins = 35/60 = 7/12 hr
speed = 3 ÷ 7/12
= 3× 12/7
= 36/7
= 5.14 km/hr
therefore the speed of the boy is 5.14 km/hr
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HURRY 50 POINTS Which of the points belong to the graph of the equation x–2y=4?
A (6,1)
B (-6,-5)
C (0,-2)
D (-1,3)
THESE ARE ALL YES/NO QUESTIONS AND PLEASE DONT GIVE ME A LINK TO THE ANSWER
Answer:
C (0,-2)
Step-by-step explanation:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps.
As you have two different variables (x and y) you aren't looking at a linear function but at a 3d function instead. Make sure you have the correct heading
Note that this equation is linear since all of the terms in
x and y are of degree at most 1.
Which equations are equivalent to Three-fourths + m = negative StartFraction 7 over 4 EndFraction? Select three options. m = StartFraction 10 over 4 EndFraction m = negative StartFraction 10 over 4 EndFraction m = negative five-halves StartFraction 11 over 4 EndFraction + m = negative one-fourth Negative five-fourths + m = negative StartFraction 15 over 4 EndFraction
Answer:
1) m = negative StartFraction 10 over 4 EndFraction
2) m = negative five-halves
3) m = \(-\frac{7}{4} - \frac{3}{4}\)
Step-by-step explanation:
The given equation is:
=> \(\frac{3}{4} +m = -\frac{7}{4}\)
Subtracting 3/4 to both sides
=> m = \(-\frac{7}{4} - \frac{3}{4}\)
=> m = \(\frac{-10}{4}\)
=> m = \(-\frac{5}{2}\)
Answer:
-5/2 ye
cause ya do the math
Step-by-step explanation:
Two friends are renting a property with a monthly rent of $975.00. The total square footage is 1,225 square feet, the first bedroom is 150 square feet, and the second bedroom is 130 square feet. Determine how much the friend with the smaller bedroom will pay for rent if they split the cost based on the square footage of each bedroom. (2 points)
$479.50
$481.35
$495.50
$501.35
Answer:
(a) $479.50
Step-by-step explanation:
You want to know how much the friend with the smaller bedroom will pay for rent if they split the $975 cost based on the square footage of each bedroom. The two bedrooms in the 1225 square foot property are 130 and 150 square feet.
SplitApparently, the cost of the non-bedroom area is to be split evenly. That common area is ...
1225 ft² -(150 +130) ft² = 945 ft²
Then the proportion due from the occupant of the smaller bedroom is ...
(945/2 +130)/1225 = 241/490 ≈ 0.49184
RentThat fraction of the rent is ...
0.49184 · $975 = $479.54
The nearest answer choice is $479.50.
__
Additional comment
If we were to assume the split is based only on bedroom size, then the rent paid for the 130 ft² space would be (13/28)($975) ≈ $452.68. This would be equivalent to splitting the rent for the common area in the same proportion as for the bedrooms.
We note that half the rent is $487.50, a number less than either of the last two answer choices. Those can be rejected for that reason. (The smaller bedroom is expected to pay less than half of the rent.)