Answer:
Hello,
Are you still alive ?
Step-by-step explanation:
a)
c=k*b (c varies directly as b)
6=k*2 ==> k=3 ( c = 6 when b = 2.)
[tex]\boxed{c=3*b }\\[/tex]
b)
b=14 ==> c=3*14=42
c)
c=39
[tex]b=\dfrac{c}{3} =\dfrac{39}{3} =13\\[/tex]
T
On Melissa's 6th birthday, she gets a $2000 CD that earns 5% interest, compounded semiannually. If the
CD matures on her 16th birthday, how much money will be available?
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$
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9514 1404 393
Answer:
$3277.23
Step-by-step explanation:
The future value of the CD with interest at rate r compounded semiannually for t years will be given by ...
A = P(1 +r/2)^(2t)
where P is the principal value.
For the given rate and time, this is ...
A = $2000(1 +0.05/2)^(2·10) = $2000(1.025^20) ≈ $3277.23
The value of the CD at maturity will be $3277.23.
For what numbers is f(0) = sec 0 not defined?
Answer:
stundeez
Step-by-step explanation:
Nicki Minaj hdhsbskdhsnsk
(a) Find a vector parallel to the line of intersection of the planes −4x+2y−z=1 and 3x−2y+2z=1.
v⃗ =
(b) Show that the point (−1,−1,1) lies on both planes. Then find a vector parametric equation for the line of intersection.
r⃗ (t)=
Find the intersection of the two planes. Do this by solving for z in terms of x and y ; then solve for y in terms of x ; then again for z but only in terms of x.
-4x + 2y - z = 1 ==> z = -4x + 2y - 1
3x - 2y + 2z = 1 ==> z = (1 - 3x + 2y)/2
==> -4x + 2y - 1 = (1 - 3x + 2y)/2
==> -8x + 4y - 2 = 1 - 3x + 2y
==> -5x + 2y = 3
==> y = (3 + 5x)/2
==> z = -4x + 2 (3 + 5x)/2 - 1 = x + 2
So if we take x = t, the line of intersection is parameterized by
r(t) = ⟨t, (3 + 5t )/2, 2 + t⟩
Just to not have to work with fractions, scale this by a factor of 2, so that
r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩
(a) The tangent vector to r(t) is parallel to this line, so you can use
v = dr/dt = d/dt ⟨2t, 3 + 5t, 4 + 2t⟩ = ⟨2, 5, 2⟩
or any scalar multiple of this.
(b) (-1, -1, 1) indeed lies in both planes. Plug in x = -1, y = 1, and z = 1 to both plane equations to see this for yourself. We already found the parameterization for the intersection,
r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩
Im new, and i hope someone tells me the right answers!
A factor is a natural number that can be multiplied by another natural number to get a value. The greatest common factor refers to when one compares the factors of two numbers, the largest natural number that both numbers have in common is the number's greatest common factor.
In the case of ([tex]m^2[/tex]) and ([tex]m^4[/tex]), the greatest common factor is ([tex]m^2[/tex]) because there are no factors of ([tex]m^2[/tex]) that are larger than it. No number can have a factor larger than itself. Since ([tex]m^2[/tex]) is also a factor of ([tex]m^4[/tex]) it is the greatest common factor of the two numbers.
Pls help I literally am crying I don’t understand ):
Answer: Passes out in slow
Step-by-step explanation:
Step 1 be Einstein
Solve for x
Answer choices:
4
5
8
3
2
opposite angles are equal
[tex]\\ \sf\longmapsto 13x+19=84[/tex]
[tex]\\ \sf\longmapsto 13x=84-19[/tex]
[tex]\\ \sf\longmapsto 13x=65[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{65}{13}[/tex]
[tex]\\ \sf\longmapsto x=5[/tex]
Answer:
[tex]\boxed {\boxed {\sf x=5}}[/tex]
Step-by-step explanation:
We are asked to solve for x.
We are given a pair of intersecting lines and 2 angles measuring (13x+19)° and 84°. The angles are opposite each other, so they are vertical angles. This means they are congruent or have the same angle measure.
Since the 2 angles are congruent, we can set them equal to each other.
[tex](13x+19)=84[/tex]
Solve for x by isolating the variable. This is done by performing inverse operations.
19 is being added to 13x. The inverse operation of addition is subtraction. Subtract 19 from both sides of the equation.
[tex]13x+19-19= 84 -19[/tex]
[tex]13x= 84 -19[/tex]
[tex]13x=65[/tex]
x is being multiplied by 13. The inverse operation of multiplication is division. Divide both sides by 13.
[tex]\frac {13x}{13}= \frac{65}{13}[/tex]
[tex]x= \frac{65}{13}[/tex]
[tex]x= 5[/tex]
For this pair of vertical angles, x is equal to 5.
CAN SOMEONE HELP ME PLEASE CAN YOU FIGURE OUT WHERE I PUT 4 PI ON THE NUMBER LINE
Answer:
see below
Step-by-step explanation:
Pi is approximately 3.14
4*3.14 =12.56
So about halfway between 12 and 13
what is the prime product of 120
Answer:
[tex]2^{3} * 3 * 5[/tex]
Step-by-step explanation:
Find the area If you get this correct i WILL GIVE YOU 100 POINTS
Answer:
Area of yellow portion =54 in
Ayuda por fa con estos ejercicios por fa urgente
Step-by-step explanation:
A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.
h=-16t^2+16t+32
1-5. Graph MU (line MU) for M(-1, 1). (Look at the bottom of the pic)
a) The slope of the line MU is [tex]\frac{4}{5}[/tex]
b) The distance between the coordinates of the line MU is √41
c) There are differences and similarities between (a) and (b).
The slope of a line is used to describe how steep the line is. This is expressed mathematically as;
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where:
(x1, y1) and (x2, y2 are the coordinate points)
From the graph shown, we are given the coordinates M(-1, 1) and U(4, 5)
a) The slope of the line MU will be expressed as;
[tex]m=\frac{5-1}{4-(-1)}\\m=\frac{4}{5}[/tex]
The slope of the line MU is [tex]\frac{4}{5}[/tex]
The formula for calculating the equation of a line is expressed as y = mx + b
b is the y-intercept.
Substitute m = 4/5 and (-1, 1) into the expression y = mx + b
[tex]1 = -(4/5) + b\\1 = -4/5 + b\\b = 1 +4/5\\b = \frac{5+4}{5} \\b = \frac{9}{5}[/tex]
Get the required equation.
Substitute m = 4/5 and b = 9/5 into y = mx + b
[tex]y=\frac{4}{5}x+\frac{9}{5}\\5y=4x+9\\5y-4x=9[/tex]
The required equation of the line is 5y - 4x = 9
b) The formula for calculating the distance between two points is expressed as;
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the given coordinates in (a) to get the distance MU
[tex]MU=\sqrt{(4-(-1))^2+(5-1)^2}\\MU=\sqrt{(4+1)^2+(5-1)^2}\\MU=\sqrt{(5)^2+(4)^2}\\MU=\sqrt{25+16}\\MU=\sqrt{41}[/tex]
Hence the distance MU is √41
c) There are similarities and differences in the calculations in (a) and (b). The similarities lie in the usage of the change in the coordinates for the calculation of the slope and the distance.
The difference is that we do not need the slope of the line to calculate the distance MU but the slope y-intercept is required to calculate the equation of the line.
Learn more about lines here: https://brainly.com/question/12441680 and https://brainly.com/question/15978054
1/10 + 3/5
ANSWER QUICK PLS FIRST ANSWER GETS BRAINLIEST
Write a rule to describe the transformation.
A. reflection across y=x
B. rotation 90º clockwise about the origin
C. rotation 180º about the origin
D. rotation 90º counterclockwise about the origin
Answer:
C. rotation 180º about the origin
Step-by-step explanation:
Given
Quadrilaterals GWVY and G'W'V'Y'
Required
Describe the transformation rule
Pick points Y and Y'
[tex]Y = (5,-4)[/tex]
[tex]Y' = (-5,4)[/tex]
The above obeys the following rule:
[tex](x,y) \to (-x,-y)[/tex]
When a point is rotated by 180 degrees, the rule is:
[tex](x,y) \to (-x,-y)[/tex]
Hence, (c) is correct
It looks like there is an error on this statement. Please take 15% off of this $123.00 bill.
The 15 percent-off $123 or 15 percent discount for a item in which the original price is $123 is: $18.45
15 percent-off $123Using this formula
Amount = Original Price x Discount
Let plug in the formula
Amount= 123 x 15 / 100
Amount = 1845 / 100
Amount = $18.45
Inconclusion the 15 percent-off $123 is $18.45.
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a store sign reads "Take 75% of the original price when you take an additional 15% off the sale price, which is 60% off the original price." Is the stores sign accurate?
Answer:
The new price is 66% off the original not 75% off
Step-by-step explanation:
Let x be the original price
First take 60 percent off
x - x*60% = new price
x- .60x = .40x
The new price is .40x
Then take 15 % off
(.40x) - (.40x)*15%
.40x - .40x*.15
.40x - .06x
.34x
100 -.34 =.66
The new price is 66% off the original not 75% off
14. What, if any, is a real solution to 5x +1 +9 - 3?
1
C
D. There is no real solution.
I believe the question is:
What is the solution to 5x + 1 +9 - 3
In this case, we solve for X.
5x + 1 + 9 - 3
5x + 10 - 3
5x + 7
5x = -7
x = -7/5
Unfortunately, It is not one of the answer choices it looks like.
Maybe you should reword your question but hopefully this is correct.
If you meant to say 5x+1 + 9 < 3 --> 5x + 10 < 3 --> 5x < -7 --> x < -7/5
The value of x in a given expression is -7/5.
We have given that,
5x + 1 + 9 - 3
We have to determine the value of x.
What is the variable?A variable is any factor, trait, or condition that can exist in differing amounts or types. Scientists try to figure out how the natural world works
In this case, we solve for X.
5x + 1 + 9 - 3
5x + 10 - 3
5x + 7
5x = -7
x = -7/5
If you meant to say 5x+1 + 9 < 3 --> 5x + 10 < 3 --> 5x < -7 --> x < -7/5.
Therefore we get the value of x is -7/5.
To learn more about the value of the variable visit:
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Complete the table y+1=7/8x
Answer:
y = 7/8x - 1
Step-by-step explanation:
graph shown
Algebra 2, please help! thank you
The function y = 2 cos 3(x + 2π∕3) +1 has a phase shift (or horizontal shift) of
A) –2π∕3
B) 3
C) 1
D) 2
Answer:
-2pi/3
Step-by-step explanation:
y = 2 cos 3(x + 2π∕3) +1
y = A sin(B(x + C)) + D
amplitude is A
period is 2π/B
phase shift is C (positive is to the left)
vertical shift is D
We have a shift to the left of 2 pi /3
Answer:
A
Step-by-step explanation:
The standard cosine function has the form:
[tex]\displaystyle y = a\cos (b(x-c)) + d[/tex]
Where |a| is the amplitude, 2π / b is the period, c is the phase shift, and d is the vertical shift.
We have the function:
[tex]\displaystyle y = 2 \cos 3\left(x + \frac{2\pi}{3}\right) + 1[/tex]
We can rewrite this as:
[tex]\displaystyle y = \left(2\right)\cos 3\left(x - \left(-\frac{2\pi}{3}\right)\right) + 1[/tex]
Therefore, a = 2, b = 3, c = -2π/3, and d = 1.
Our phase shift is represented by c. Thus, the phase shift is -2π/3.
Our answer is A.
On the first day of a two-day meeting, 10 coffees and 10 doughnuts were purchased for a total of $20.00. Since nobody drank the coffee and all the doughnuts were eaten, the next day only 2 coffees and 14 doughnuts were purchased for a total of $13.00. How much did each coffee and each doughnut cost?
Answer:
1.25 dollars- the value of each coffee
0.75 dollars- the value of each doughnut
Step-by-step explanation:
Suppose that value of one coffee is x dollars, when one doughnut costs y dollars. The value o 10 coffee is 10x, when 10 doughnuts cost 10y. The sum is 10x+10y and it is 20.
10x+10y= 20 (we can divide each part by 10)
x+y=2
2coffee cost 2x, 14 doughnuts cost 14y
2x+14y=13 (it can be divided by two)
x+7y=6.5
We have the system of equations x+y=2, x+7y=6.5
Subtract the first equation from the second one (the left side of the first equation from the left side
x+7y - (x+y)= 6.5-2
6y=4.5
y=4.5/6= 3/4 = 0.75 dollars- the value of each doughnut
x=2-0.75=1.25 dollars- the value of each coffee
What is 3.142857 rounded three decimal places
Answer:
3.143
Step-by-step explanation:
Since you're rounded it to the third decimal, you look at the fourth one. And since the fourth one is 8, ur going round 2, which is the third decimal to 3.
Answer:
The answer is below
Step-by-step explanation:
In this question, to round three decimal place, we need to count three numbers after the dot.
Here..
the three numbers are 142
so after that we round it, so first of all we ignore 1 and, and focus on the number 2 and 4.
and if the number is below 5, it is rounded to the last number, but if the number is 5 or more than it, then we round it to the next number.
For example
142 - here we have 2, which is below 5, so we round it to '140'
where as if we have..
147 - here we have 7, which is above 7, so we round it to '150'
____________________________________________________________
So in this problem we round 142, so the number 2 is below 5 so it is round to 140
therefore the answer is - 3.14
The length side of xy is?
Answer:
10
Step-by-step explanation:
ok so you do 12/30 and u get a 0.4 ratio. boom multiply 0.4 by 25 and u get 10. so boom the length is 10
Answer:
XY=10
Step-by-step explanation:
Since they are similar the ratio between each sides should be the same.
Ratio is .4. Found by dividing 12/30.
Multiply .4 by 25= 10
Find the value of x.
A. 85
B. 131
C. 73
D. 95
Answer:
b
Step-by-step explanation:
The value of x 85.
What is the arc of the circle?The arc period of a circle can be calculated with the radius and relevant perspective using the arc period method.
⇒angle= arc/radius
⇒ 107°=arc/7
⇒ arc =1o7°*7
⇒arc=107π/180° *7
⇒arc = 85
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surface area of a prism please help its my last day 120 points
Answer:
Area of the base = (8×6)/2 = 24 yd²
Height of the prism = 8 yd
Perimeter of the base = 8+6+10 = 24 yd
Surface area = 2B + Ph = (2×24)+(24×8) = 48+192 = 240 yd²
you start at (5,3) you move down 4 units and up 6 units. where do you end?
You end up at the point (5, 5).
ABC are points; (2,3), (4,7), (7,3) respectively. Find the equation of the line through the point (3,-5) which is parallel to the line with the equation 3x+2y-5=0
Answer:
y = -3x/2 - 1/2
Step-by-step explanation:
slope m = -3/2
-5 = (-3/2)×3+b
or, b = -1/2
putting it into y = mx + b
y = -3x/2 - 1/2
Answered by GAUTHMATH
If 2x - 5y – 7 = 0 is perpendicular to the line ax - y - 3 = 0 what is the value of a ?
A) a =2/3
B) a =5/2
C) a = -2/3
D) a = -5/2
Answer:
D) a = - 5/2
Step-by-step explanation:
2x -5y - 7 = 0
5y = 2x - 7
y = 2/5 x - 7
the slope of this line is therefore 2/5 (factor of x).
the perpendicular slope is then (exchange y and x and flip the sign) -5/2, which is then a and the factor of x.
what is the absolute value of |9|?
Answer:
9
Step-by-step explanation:
it's as simple as that 9 is 9 away from 0
10
8
12
10
14
?
a. 16
b. 10
c. 12
d. 18
Answer:
12
Step-by-step explanation:
10 8 subtract 2
8 12 add 4
12-10 subtract 2
10 14 add 4
Now we subtract 2
14-2 = 12
In an experiment, you choose to have two randomly assigned groups. In one, you take measurements both pretest and posttest; with the second, a posttest-only measure. This describes which task of conducting an experiment
Answer:
The answer is "Specific treatment levels".
Step-by-step explanation:
When we experimenting with 'level' which is related to the quantity or magnitude of treatment. For this part of an experiment or study, a group or individual is exposed to a specified set of circumstances. For example: If four categories are exposed to different doses of a given drug, then each dose reflects a level of a treatment factor in the model.
Assume a researcher wants to compare the mean Alanine Aminotransferase (ALT) levels in two populations, individuals who drink alcohol and individuals who do not drink alcohol. The mean ALT levels for the individuals who do not drink alcohol is 32 with a standard deviation of 14, and 37 individuals were in the sample. The mean ALT levels for individuals who drink alcohol is 69 with a standard deviation of 19, and 38 individuals were in the sample. Construct and interpret a 95% confidence interval demonstrating the difference in means for those individuals who drink alcohol when compared to those who do not drink alcohol.
a. The researchers are 95% confident that the true mean difference in ALT values between the population of drinkers and population of non-drinkers is between 24.22 and 39.78.
b. The researchers are 95% confident that the true mean difference in ALT values between the population of drinkers and population of non-drinkers is between 24.33 and 39.67
c. The researchers are 95% confident that the true mean difference in ALT values between the population of drinkers and population of non-drinkers is between 24.32 and 39.68.
d. The researchers are 95% confident that the true mean difference in ALT values between the population of drinkers and population of non-drinkers is between 24.41 and 39.59.
Answer:
c. The researchers are 95% confident that the true mean difference in ALT values between the population of drinkers and population of non-drinkers is between 24.32 and 39.68.
Step-by-step explanation:
Given :
Groups:
x1 = 69 ; s1 = 19 ; n1 = 38
x2 = 32 ; s2 = 14 ; n2 = 37
1 - α = 1 - 0.95 = 0.05
Using a confidence interval calculator to save computation time, kindly plug the values into the calculator :
The confidence interval obtained is :
(24.32 ; 39.68) ; This means that we are 95% confident that the true mean difference in ALT values between the two population lies between
(24.32 ; 39.68) .
