Answer:
3x + 1 = 7
x = 2
Step-by-step explanation:
equation for the hanger diagram
3x + 1 = 7
Subtract 1 from both sides
3x = 6
Divide both sides by 3
x = 2
question number eight answer
I think you forgot to attach the picture w/ the question . .
The equation V equals pi r squared h, where r represents radius and h represents height, is used to find the volume of a ________.
Answer:
Volume of a cylinder.
Step-by-step explanation:
The given equation is :
[tex]V=\pi r^2 h[/tex]
Where
r is the radius
h is the height
This equation is used to find the volume of a cylinder.
For example, a cylinder having radius of 7 units and height of 10 units, its volume will be :
[tex]V=\dfrac{22}{7}\times 7^2\times 10\\\\V=1540\ \text{unit}^2[/tex]
So, the given equation is used to find the volume of a cylinder.
ordered pairs does not represent a function?
{(5,−2),(−6,−4),(−2,3),(−1,−4)}
\{(-3, 4), (-8, 0), (3, -8), (-3, -4)\}{(−3,4),(−8,0),(3,−8),(−3,−4)}
\{(6, 3), (-1, 5), (-7, 3), (3, 0)\}{(6,3),(−1,5),(−7,3),(3,0)}
\{(3, 9), (2, 7), (9, 9), (4, -3)\}{(3,9),(2,7),(9,9),(4,−3)}
Answer:
1. \{(-3, 4), (-8, 0), (3, -8), (-3, -4)\}{(−3,4),(−8,0),(3,−8),(−3,−4)}
Step-by-step explanation:
The x values are repeating
Given the system of equations, what is the solution?5x - 4y = 7x = 5 - 3/2y
9514 1404 393
Answer:
(x, y) = (61/23, 36/23)
Step-by-step explanation:
We assume you intend the equations to be ...
5x -4y = 7x = 5 -3/2yThen in general form, they are ...
5x -4y -7 = 0
2x +3y -10 = 0
The solution using the "cross multiplication method" is ...
1/(15 +8) = x/(40+21) = y/(-14 +50)
(x, y) = (61/23, 36/23)
_____
Comment on "cross multiplication method"
When the coefficients from the general form equations are written as a 2×4 array with the first and last columns the same ...
[tex]\left\{\begin{array}{cccc}5&-4&-7&5\\2&3&-10&2\end{array}\right\}[/tex]
the solution is 1/d1 = x/d2 = y/d3, where d1, d2, d3 are the determinants of successive pairs of columns.
d1 = (5)(3) -(2)(-4)d2 = (-4)(-10) -(3)(-7)d3 = (-7)(2) -(-10)(5)PLSSS ASAP HELP!! Find the area of the parallelogram shown below. The formula to find area of a parallelogram is base x height.
Given:
A parallelogram with base c, height h and other side a.
[tex]a=55.83[/tex] yds
[tex]c=100[/tex] yds
[tex]h=52[/tex] yds
To find:
The area of the parallelogram.
Solution:
The area of a parallelogram is:
[tex]A=base\times height[/tex]
In the given parallelogram, the base is [tex]c=100[/tex] yds and the height is [tex]h=52[/tex] yds. So, the area of the parallelogram is:
[tex]A=100\times 52[/tex]
[tex]A=5200[/tex]
Therefore, the area of the parallelogram is 5200 square yds . hence the correct option is A.
What is the name of this circle?
Circle
Answer:
Minor Sector
Step-by-step explanation:
solve the system of equations
y= 8x + 1
y = 6x + 3
choose:
(1,9)
(4,14)
(2,4)
(0,1)
How do I answer this?
Answer:
volume = 153.45 ft³
Step-by-step explanation:
area of base = 1/2 x base x height = 1/2 x 9 x 3.1 = 13.95 ft²
volume = base area x height= (13.95)(11) = 153.45 ft³
A random sample of 11 fields of rye has a mean yield of 20.1 bushels per acre and standard deviation of 7.66 bushels per acre. Determine the 80% confidence interval for the true mean yield. Assume the population is approximately normal. Round your answer to one decimal place.
Answer:
17.1≤x≤23.1
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as;
CI = x ± z*s/√n
x is the mean yield = 20.1
z is the 80% z-score = 1.282
s is the standard deviation = 7.66
n is the sample size = 11
Substitute
CI = 20.1 ± 1.282*7.66/√11
CI = 20.1 ± 1.282*7.66/3.3166
CI = 20.1 ± 1.282*2.3095
CI = 20.1 ±2.9609
CI = (20.1-2.9609, 20.1+2.9609)
CI = (17.139, 23.0609)
hence the required confidence interval to 1dp is 17.1≤x≤23.1
can someone pls give me an explanation and answer?
Answer:
x=50
Step-by-step explanation:
It is a line so it should be 180 degrease. You already have two of the angles and to find the third (x) you just need to subtract them from 180. 180-105=75, and 75-25 is 50, so x is 50.
Answer: x=50 degree
Step-by-step explanation: angle in a straight line is equal to 180 degrees.
Given;
25 degrees &
105 degrees.
180– (105+25)
180– 130
= 50degrees
The population of a city of 826,000 people decreases 3% per year.
Determine what the population of that city would be after 10 years.
Answer:
588200
Step-by-step explanation:
3% of 826,000 is 24780, 24780 x 10 years is 247800
826,000-247800= 588200
a circle has a radius of 9 inches. In inches, what is the length of the arc intercepted by central angle of 3.25 radians
Answer:
[tex]\boxed {\boxed {\sf 29.25 \ inches}}[/tex]
Step-by-step explanation:
Since we are given the central angle in radians, we should use the following formula for the arc length.
[tex]s= \theta r[/tex]
Where s is the arc length, θ is the angle in radians, and r is the radius.
We know this circle has a radius of 9 inches and the central angle is 3.25 radians.
θ= 3.25 r= 9 inSubstitute the values into the formula
[tex]s= (3.25)( 9 \ in)[/tex]
Multiply.
[tex]s= 29.25 \ in[/tex]
The arc length is 29.25 inches.
Is 3.37 less than 3.368
Answer:
no
Step-by-step explanation:
Answer:
it's not
Step-by-step explanation:
x plus 1 > 3
The souliton is
Answer:
x > 2
Step-by-step explanation:
x + 1 > 3
Subtract 1 from both sides
x + 1 - 1 > 3 - 1
x > 2
What is the area of the shape.
Ben found 6 tops to add to his 7 tops in his collections. he then had a competition with his friends and quadrupled his tops. I Have To Write a numerical expression to model this situation without performing any operations but I'm Just So Confused Can You Help Me Please.
Answer:
gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
Step-by-step explanation:
help fast please!!!!!!
Answer:
75
Step-by-step explanation:
7.5 x 5 = 37.5
1/2:1
37.5:74
Also, I did it :D
A recent survey by nerdwallet indicated Americans paid a mean of $6,658 interest on credit card debt in 2017. A sample of 12 households with children revealed the following amounts. 7,077 5,744 6,753 7,381 7,625 6,636 7,164 7,348 8,060 5,848 9,275 7,052 Click here for the Excel Data File State the null hypothesis and the alternate hypothesis. State the decision rule for 0.05 significance level. (Round your answer to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) Is it reasonable to conclude that these households paid more interest than the survey result
Answer:
The null hypothesis is [tex]H_0: \mu = 6658[/tex]
Tha alternate hypothesis is [tex]H_a: \mu > 6658[/tex]
The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is evidence to conclude that these households paid more interest than the survey result.
The test statistic is [tex]t = 1.94[/tex]
As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result
Step-by-step explanation:
A recent survey by nerdwallet indicated Americans paid a mean of $6,658 interest on credit card debt in 2017. Test if it is reasonable to conclude that these households paid more interest than the survey result.
At the null hypothesis, we test if they paid the same, that is:
[tex]H_0: \mu = 6658[/tex]
At the alternate hypothesis, we test if they paid more, that is:
[tex]H_a: \mu > 6658[/tex]
Test statistic:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
State the decision rule for 0.05 significance level.
Right-tailed test(test if the mean is higher than the value) with 12 - 1 = 11 degrees of freedom, has a critical value of t = 1.976.
So
The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no reasonable evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is reasonable evidence to conclude that these households paid more interest than the survey result.
6658 is tested at the null hypothesis:
This means that [tex]\mu = 6658[/tex]
Sample mean and standard deviation:
With the given data-set:
Mean of [tex]X = 7163.6[/tex]
Standard deviation of [tex]s = 902.25[/tex]
Sample of 12:
This means that [tex]n = 12[/tex]
Compute the value of the test statistic.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{7163.6 - 6658}{\frac{902.25}{\sqrt{12}}}[/tex]
[tex]t = 1.94[/tex]
As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result
A velocity vector has a magnitude of 137 miles per hour and a direction angle of 235º.
What is the y-component of the vector?
9514 1404 393
Answer:
CW from north: -78.58 mphCCW from +x: -112.2 mphStep-by-step explanation:
A couple of different references are used when talking about angles in the x-y coordinate plane. Conventionally, angles are measured CCW from the +x axis of the plane. This is the reference usually used in physics problems involving acceleration, velocity, and displacement.
If the angles refer to bearings on a map, the usual mapping is north = +y, east = +x, and angles are measured CW from north. This is the reference usually used in (flat earth) navigation problems involving airspeed and ground speed.
We cannot tell the intended meaning of "direction angle" here, hence there are two answers. Take your choice.
__
If the angle is measured counterclockwise from the +x direction, the (x, y) coordinates of the vector (137; 235°) are ...
(x, y) = 137(cos(235°), sin(235°))
(x, y) = (-78.58, -112.22)
The y-component is -112.22 miles per hour.
__
If the "direction angle" is a bearing measured clockwise from the +y direction, then the x- and y-coordinates are swapped from those listed above.
(x, y) = (-112.22, -78.58)
The y-component is -78.58 miles per hour.
_____
Additional comment
We say this is "flat earth" navigation because any serious navigation calculation must take into account the Earth's curvature. A path that follows a great circle will not have a constant compass bearing except along the equator or a longitude line.
A jar contains 13 red, 27 blue, and 20 green marbles. if one marble is drawn from the jar at random, find the probability that the marble is: red, blue, not blue, green, green or red
Answer:
The probability that a marble drawn from the jar at random is red is 21.66%, that it is blue is 45%, that it is not blue is 55%, that it is green is 33.33%, and that it is green or red is 55%.
Step-by-step explanation:
Since a jar contains 13 red, 27 blue, and 20 green marbles, to determine, if one marble is drawn from the jar at random, the probability that the marble is red, blue, not blue, green, and green or red, you must perform the following calculations:
13 + 27 + 20 = 60
Red = 13/60 = 0.2166
Blue = 27/60 = 0.45
Not blue = 33/60 = 0.55
Green = 20/60 = 0.333
Green or red = 33/60 = 0.55
Therefore, the probability that a marble drawn from the jar at random is red is 21.66%, that it is blue is 45%, that it is not blue is 55%, that it is green is 33.33%, and that it is green or red is 55%.
Plz help me well mark brainliest if correct................?
Answer:
B. 8cm*12cm
Step-by-step explanation:
Area is the product of the two sides:
6*16 = 96
8*12 = 96
10*10 = 100
Perimeter is the sum of all four sides:
6+16+6+16 = 44
8+12+8+12 = 40
The answer is B. 8cm*12cm
Does the quadratic function
f(x) = 3x2 + 5x + 17 have one,
two, or no real zeros? Utilize the
quadratic formula to determine
the answer
[?] real zero(s)
Answer:
[0] real zeros
Step-by-step explanation:
You can use the discriminant of the quadratic formula which is b² – 4ac to determine the # of real zeros by knowing that:
2 real zero(s) occur when b² – 4ac > 0.1 real zero(s) occur when b² – 4ac = 0.0 real zero(s) occur when b² – 4ac < 0.Taking into account the definition of zeros of a function, the function has no real roots and its graph does not intersect the x-axis.
Zeros of a functionThe function f(x) = ax² + bx + c
with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).
The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.
That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.
In summary, the roots or zeros of the quadratic function are those values of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.
The following expression is called discriminant:
Δ= b²- 4×a×c
The discriminant determines the amount of roots of the function. Then:
If Δ <0 the function has no real roots and its graph does not intersect the x-axis.If Δ> 0 the function has two real roots and its graph intersects the x-axis at two points .If Δ = 0 the function has a real root and its graph intersects the x-axis at a single point that coincides with its vertex. In this case the function is said to have a double root.Amount of roots in this caseIn this case, the function is f(x) = 3x² + 5x + 17, where:
a= 3b= 5c= 17Replacing in the definition of discriminant:
Δ= 5²- 4×3×17
and solving you get:
Δ= 25- 204
Δ= -179
Since Δ< 0, the function has no real roots and its graph does not intersect the x-axis.
Learn more about the zeros of a quadratic function:
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For each function, state whether it is linear, quadratic, or exponential.
Answer:
Function 1: exponential
Function 2: exponential
Function 3: quadratic
Step-by-step explanation:
I used a graphing calculator.
Hope this helps:)
If f(x)= 1/x+2 and a>3, which of the following could be f(a)
A =1/2
B = 1/3
C = 1/4
D = 1/6
The equivalent value of the function is f ( a ) = ( 1/6 ) , when a > 3
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1 / ( x + 2 )
Now , the value of x > 3
So , the value of f ( x ) = f ( a )
And , when x > 3
f ( 4 ) = 1 / ( 4 + 2 )
f ( 4 ) = 1 / 6
Hence , the function is f ( 4 ) = 1 / 6
To learn more about function rule click :
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The difference of x and y is the same as 3 times the sum of x and 2
Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
Answer:
spoke out of term and with no true option.
A pack of 4 chocolate bars costs £1.20
What is the price per unit?
what is it?
Answer:
0.30 you divided the total by the number of units which is 4
Answer:
£ 0.3
Step-by-step explanation:
Given that , a pack of 4 chocolates costs £1.20. We need to find cost of one chocolate .
We can simply use Unitary Method here ,as ,=> 4 chocolates costs £1.20 .
=> 1 chocolate will cost £1.20/4 = £ 0.3
Hence the cost of unit is £ 0.3HELP ME OUT
Ali bought 2 pounds of ground turkey at $2.50 per pound and 3 pounds of ground beef at $3.20 per pound What was her total cost?
Enter your answer in the box.
$
Answer:
$14.60
Step-by-step explanation:
you do 2×2.50= 5
3×3.20= 9.6
What length (in feet) along the circumference of a wheel with a radius of 1 foot is covered in a rotation of 260°?
A
13π9
B
9π13
C
26π9
D
13π18
plz help it is kind of easy i will give alot of points to anyone that knows the answers
B. 26 years
i think..
Which dilation is shown by this graph?
Need it fast!!
Will give 5 stars
The required dilation from XYZ to X'Y'Z' shown in the graph is D1/2(△XYZ)
What is dilation?Dilation is a transformation technique that changes the size and position of an object on the xy plane
From the given triangles
XZ = 6 units
X'Z' = 3 units
Determine the dilation factorDilation factor "k" = X'Z'/XZ
Substitute the given parameters
k = 3/6
k = 1/2
Hence the required dilation from XYZ to X'Y'Z' shown in the graph is D1/2(△XYZ)
Learn more on dilation here: https://brainly.com/question/10253650