Answer: im not 100% sure this is correct but i think it is
A= $7638.11
Step-by-step explanation:
A= Pe^rt ,
let r= is rate,
let t= is time in years
A=3200*e^(.0725*12)
=3200*e6^0.87
which gives you
A= $7638.11
The area of a triangle is 2/5 square feet. What is the base of the triangle if the height is 6/5 feet?
24/25 feet
25/24 feet
2/3 feet
3/2 feet
Answer:
2/3 feet.
Step-by-step explanation:
The formula for finding the area of a triangle is A = (B x H)/2. Or, area is equal to base times height, all divided by two. In your case, we don't know the base. If we substitute in values, we get 2/5 = (B x 6/5)/2.
Next, we have to multiply both sides by two, to cancel the "/2." That results in 4/5 = B x 6/5. Then, to isolate the variable, we have to divide both sides by 6/5. 4/5 ÷ 6/5 is 4/5 x 5/6. The fives cancel out, and we are left with 4/6.
Finally, we simplify! 4/6 simplifies to 2/3.
A certain group of test subjects had pulse rates with a mean of 75.2 beats per minute and a standard deviation of 11.2 beats per minute. Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. Is a pulse rate of 147.6 beats per minute significantly low or significantly high?
Answer:
The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
By the Range Rule of Thumb, if Z < -2, the measure X is significantly low, and if Z > 2, the measure X is significantly high.
Mean of 75.2 beats per minute and a standard deviation of 11.2 beats per minute.
This means that [tex]\mu = 75.2, \sigma = 11.2[/tex]
Is a pulse rate of 147.6 beats per minute significantly low or significantly high?
We have to find Z when X = 147.6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{147.6 - 75.2}{11.2}[/tex]
[tex]Z = 6.46[/tex]
The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.
1/2n+3=6 what is the solution to this equation
Answer:
n=6
Step-by-step explanation:
1/2 n + 3 = 6
Subtract 3 from each side
1/2 n +3-3=6-3
1/2n = 3
Multiply each side by 2
1/2 n * 2 = 3*2
n = 6
Given that,
1/2n + 3 = 6
Now we can subtract 3 from each side,
→ 1/2 n +3-3 = 6-3
→ 1/2n = 3
Now we can multiply each side by 2,
→ 1/2 n × 2 = 3 × 2
→ n = 6
Hence, 6 is the correct answer.
can someone help me solve this pls ? solve |x| + 7 < 4
Answer:
no solution
Step-by-step explanation:
|x| + 7 < 4
Subtract 7 from each side
|x| + 7-7 < 4-7
|x| < -3
But an absolute value must be greater than or equal to zero
There is no solution
Answer: No solutions
Let's solve the inequality step-by-step
[tex]|x|+7<4[/tex]
First subtract 7 from both sides
[tex]|x|+7-7<4-7\\|x|<-3[/tex]
Now usually you'd solve absolute value, but absolute value cannot be less than 0 so there can't be a solution.
What is the slope of a line perpendicular to the line whose equation is x + 2y = 2. Fully simplify your answer.
9514 1404 393
Answer:
2
Step-by-step explanation:
We can solve for y to find the slope of the given line.
x +2y = 2
2y = -x +2 . . . . . subtract x
y = -1/2x +1 . . . . divide by the coefficient of y
The slope is the x-coefficient, -1/2.
Any perpendicular line will have a slope that is the opposite reciprocal of this:
-1/(-1/2) = 2
A perpendicular line will have a slope of 2.
Solve for X.
A. 10.96
B. 4.88
C. 0.04
D. 5.34
Answer:
4.88
Step-by-step explanation:
That may be the question
A rectangular room has a perimeter of 70m what could be the length of the longest side of the room
Answer:
34
Step-by-step explanation:
70-2=68
side 1 & 3=1m each
68 divided by 2 = 34
side 2 & 4 = 34m each
What is the MEDIAN or Q2 of the data set: 24, 25, 29, 30, 31, 31, 32, 34, 34?
Answer:
31
Step-by-step explanation:
Median = middle number in terms of value
Usually the first step is to list the numbers in order from least to greatest however the numbers are already listed in order from least to greatest
24, 25, 29, 30, 31, 31, 32, 34, 34
We the just go to the middle number
The middle number would be 31
So we can conclude that the median is 31
If the measure of angle 2 Is (4x+10)degrees and the measure of angle 3 is (3x-5)degrees, what is the measure of angle 2 in degrees?
Answer:
110°
Step-by-step explanation:
4x+10 + (3x-5) = 180
7x + 5 = 180
7x = 175
x = 25
∠2 = 4(25) + 10 = 110
The measure of angle 2 in degrees, when both lines are perpendicular, is approximately 58.56 degrees.
To find the measure of angle 2 when the lines are perpendicular, we can set up an equation. Since the angles are formed by perpendicular lines, we know that the sum of angle 2 and angle 3 will be equal to 90 degrees. Mathematically, we can write this as:
(4x + 10) + (3x - 5) = 90
Now, let's solve the equation to find the value of x. First, combine like terms:
4x + 3x + 10 - 5 = 90
7x + 5 = 90
Next, isolate x by subtracting 5 from both sides:
7x = 85
Finally, divide by 7 to solve for x:
x = 85 / 7 ≈ 12.14
Now that we have the value of x, we can find the measure of angle 2 by substituting x back into its expression:
Angle 2 = 4x + 10
Angle 2 = 4(12.14) + 10
Angle 2 ≈ 48.56 + 10
Angle 2 ≈ 58.56 degrees
To know more about angle here
https://brainly.com/question/4316040
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Find the length of arc AC.
B
红
120°
10
A
С
Answer:
36.2
Step-by-step
GCF of 9x^2y^2 and 5x^2y^3
Answer:
x^2y^2.
Step-by-step explanation:
Will Mark Brainlest Help pls
Answer:
13
HOPE THIS HELPS YOU......
In a study of reaction times to a specific stimulus, a psychologist recorded these data (in seconds). Find the variance and standard deviation. Use a TI-83 Plus/TI-84 Plus calculator and round the answers to at least two decimal places.
Answer:
s² = 0.7965
s = 0.8925
Step-by-step explanation:
Given the data :
Class limit __ midpoint(x) ___ Frequency
2.1 - 2.7 ______2.4 ________13
2.8 - 3.4 ______3.2 _______ 14
3.5 - 4.1 ______ 3.8 _______ 10
4.2 - 4.8 ______4.5 _______ 6
4.9 - 5.5______ 5.2 ________2
5.6 - 6.2______ 5.9 ________ 1
The midpoint was calculated thus :
(Upper limit + lower limit) / 2
Using a graphing calculator :
The sample variance, s² = 0.7965
The sample standard deviation, s = 0.8925
Determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify your answer. T: , T()(,), T()(,), and T()(,), where , , are the columns of the 33 identity matrix. a. Is the linear transformation one-to-one? A. T is one-to-one because T(x)0 has only the trivial solution. B. T is not one-to-one because the columns of the standard matrix A are linearly independent. C. T is not one-to-one because the standard matrix A has a free variable. D. T is one-to-one because the column vectors are not scalar multiples of each other. b. Is the linear transformation onto? A. T is onto because the columns of the standard matrix A span . B. T is not onto because the columns of the standard matrix A span . C. T is onto because the standard matrix A does not have a pivot position for every row. D. T is not onto because the standard matrix A contains a row of zeros.
Answer:
C. T is not one-to-one because the standard matrix A has a free variable.
Step-by-step explanation:
Given
[tex]T(x_1,x_2,x_3) = (x_1-5x_2+4x_3,x_2 - 6x_3)[/tex]
Required
Determine if it is linear or onto
Represent the above as a matrix.
[tex]T(x_1,x_2,x_3) = \left[\begin{array}{ccc}1&-5&4\\0&1&-6\\0&0&0\end{array}\right] \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right][/tex]
From the above matrix, we observe that the matrix does not have a pivot in every column.
This means that the column are not linearly independent, & it has a free variable and as such T is not one-on-one
The first side of a triangle measures 4 in. less than the second side, the third side is 3 in more than the first side, and the perimeter is 15 in. How long is the third side?
If s represents the length of the second side, which of the following represents the length of the third side?
O S-4
OS-1
OS+3
Answer:
s-1
Step-by-step explanation:
1st side: s-4
2nd side: s-4+3, which is 's-1'
The base of a triangle is 9cm correct to the nearest cm.
The area of this triangle is 40 cm2 correct to the nearest 5 cm?.
Calculate the upper bound for the perpendicular height of this triangle.
Answer:
can you show the picture plz
Can somone help me solve this
Answer:
solid shade above
Step-by-step explanation:
graph line same way you would if it was an equal sign
all the y's that are greater are above the line
its solid because is greater than OR equal to. Equal to includes the line itself as a set of solutions
2x^2 + 3x - 12 when x = 5 help pls
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{2x^2 + 3x - 12}[/tex]
[tex]\mathsf{= 2(5)^2 + 3(5) - 12}[/tex]
[tex]\mathsf{5^2}[/tex]
[tex]\mathsf{= 5 \times 5}[/tex]
[tex]\mathsf{\bf = 25}[/tex]
[tex]\mathsf{2(25) + 3(5) - 12}[/tex]
[tex]\mathsf{2(25)}[/tex]
[tex]\mathsf{= \bf 50}[/tex]
[tex]\mathsf{3(5)}[/tex]
[tex]\mathsf{= \bf 15}[/tex]
[tex]\mathsf{= 50 + 15 - 12}[/tex]
[tex]\mathsf{50 + 15}[/tex]
[tex]\mathsf{= \bf 65}[/tex]
65 - 12
[tex]\mathsf{= \bf 53}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 53}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
3.
June has 248 oranges. She sells of these oranges. How many oranges did June sell?
Answer.
Answer:
93. Divide 248 by 8. One eighth of 248 = 31.
June sold 3/8 of the 248 oranges.
If 1/8 = 31 and June sold 3/8 of the oranges.
Multiply 3 × 31. Therefore June sold 93 oranges.
Step-by-step explanation:
Answer:
93 oranges
Step-by-step explanation:
3/8 of 248
[tex]\frac{y}{248} :\frac{\frac{3}{8} }{1}[/tex]
y × 1 = 248 × 3/8
y = 93
please helppppp
i am v stuck
Answer:
Below
Step-by-step explanation:
First find the area of the triangle
A = bh/2
= (5)(10)/2
= 50/2
= 25 in^2
*the height of the triangle is 10 because we are disregarding the 3 inches as it is not a part of the triangle
You can now find the volume of the triangular part
V = area x height
= (25)(10)
= 250 in^3
Now find the volume of the rectangular part
V = LWH
= (10)(5)(3)
= 150 in^3
Add these two up to get the total volume
150+250 =400 in^3
I hope that is correct.... good luck!
Write an augmented matrix of each system. Then, solve each system using matrix notation. Describe the solution set in vector notation.
Answer:
The answer is below
Step-by-step explanation:
Given the system of equations:
x + y + 2z = 9
2x + 4y - 3z = 1
3x + 6y - 5z = 0
This system of equation can be solved using matrix. This done by first representing the equations as matrix and then solving:
The matrix form is:
[tex]\left[\begin{array}{ccc}1&1&2\\2&4&-3\\3&6&-5\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&2\\2&4&-3\\3&6&-5\end{array}\right] ^{-1} \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2&-17&11\\-1&11&-7\\0&3&-2\end{array}\right] \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1\\2\\3\end{array}\right][/tex]
1;3;5;7…(determine the value of the 19th term of the sequence)
Answer:
37
Step-by-step explanation:
fistly find how much different
3-1=2 5-3=2 7-5=2
so for the next and next value just plus two until the 19th then you will get 37
=============================================================
Explanation:
a = 1 is the first term
d = 2 is the common difference, since we add 2 to each term to get the next term.
The nth term is a+d(n-1) which becomes 1+2(n-1). That simplifies to 2n-1
The last step is to plug in n = 19 and you should get 2(19)-1 = 37
PLEASE HELP ME I WILL MARK TOU JT YOU HELP ME!!!
Given:
The figure of a construction.
To find:
The correct option that represents the given construction.
Solution:
In the given figure, the given angle is angle CAB.
The steps for the given figure are:
1. Draw a ray PQ.
2. Mark an arc BC on the given angle and mark the same arc on the line and the intersection of line and arc is point Q.
3. Set the compass of the length BA.
4. Put the compass on the point Q mark arc that intersect the first arc. The intersection of arcs is R.
5. Draw a ray PR.
These are the steps of construction to copy an angle.
Therefore, the correct option is A.
)Which statement best describes the area of the triangle shown below?
A coordinate grid is shown with a triangle.. The base is 4 units, and the height is 4 units.
It is one-half the area of a rectangle of length 4 units and width 2 units.
It is one-half the area of a square of side length 4 units.
It is twice the area of a rectangle of length 4 units and width 2 units.
It is twice the area of a square of side length 4 units.
9514 1404 393
Answer:
(b) It is one-half the area of a square of side length 4 units.
Step-by-step explanation:
The triangle described can be formed by drawing the diagonal through a square 4 units on a side. Such a diagonal cuts the square cleanly in half, so the area of the triangle is half the area of the square.
Answer:
B
Step-by-step explanation:
Hope you have a nice day! :o)
which exponential equation is equivalent to the logarithmic equation below? log478=a
A. 478^10 = a
B. a^10 = 478
C. 478^a = 10
D. 10^a = 478
Choose all the points that would be acceptable points to choose to test for shading for −3(m+7)≥−24
Answer:
m≤1
Step-by-step explanation:
The given inequality is :
−3(m+7)≥−24
Dividing both sides by -3.
(m+7) ≤ 8
Subtract 7 from both sides,
(m+7)-7 ≤ 8-7
m≤1
Hence, this is the required solution.
f(x)=2x^2-x-6 g(x)=4-x (f+g)(x)
[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]
The property above is distribution property where we distribute x-term in the function.
Substitute both f(x) and g(x) in.
[tex] \large{ \begin{cases} f(x) = 2 {x}^{2} - x - 6 \\ g(x) = 4 - x \end{cases}} \\ \large{f(x) + g(x) = (2 {x}^{2} - x - 6) + (4 - x)} \\ \large{f(x) + g(x) = 2 {x}^{2} - x - 6 + 4 - x}[/tex]
Évaluate/Combine like terms.
[tex] \large{f(x) + g(x) = 2 {x}^{2} - 2x - 2} [/tex]
The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)
[tex] \large{(f + g)(x) = 2 {x}^{2} -2x -2}[/tex]
Alternative
[tex] \large{(f + g)(x) = 2({x}^{2} -x - 1)}[/tex]
Answer
(f+g)(x) = 2x²-2x-2(f+g)(x) = 2(x²-x-1)Both answers work. The second answer is in factored form.
Let me know if you have any doubts!
ANSWER ASAP!! Use the substitution method to solve the system of equations. 3x+7y=1 and y=x-7
Answer:
x=5
y = -2
(5,-2)
Step-by-step explanation:
3x+7y=1 and y=x-7
Substitute the second equation in for y in the first equation
3x+7( x-7)=1
Distribute
3x+ 7x - 49 = 1
Combine like terms
10x - 49 =1
Add 49 to each side
10x-49+49 = 1+49
10x = 50
Divide by 10
10x/10 = 50/10
x = 5
Now find y
y = x-7
y = 5-7
y = -2
Part
The number 3.14 is a rounded value of the mathematical quantity . If you replace 3.14 with 1, what is the exact formula for the circumference in
terms of the diameter, d, and in terms of the radius, r?
B IV x x
Font Sizes
А
E1 E2
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Submit
I need help
Answer:
C = 2(3.14)r
C = (3.14)d
Step-by-step explanation:
Circumference in terms of radius:
[tex]c \: = 2\pi \: r[/tex]
So replacing pi with 3.14 you would get 2(3.14)r
Circumference in terms of diameter:
[tex]c = d\pi[/tex]
So replacing pi with 3.14 you would get d(3.14)
Telephone poles are stored in a pile with 30 poles in the first layer, 29 in the second, and so on. If there are 12 layers, how many telephone poles does the pile contain?
Answer: 294
Step-by-step explanation:
Given
First layer has 30 Poles
Second layer has 29 Poles
There are twelve layers
It follows an A.P. with first term [tex]a_1=30[/tex] and common difference [tex]d=-1[/tex]
Sum of n terms of an A.P. is
[tex]\Rightarrow S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
Insert the values
[tex]\Rightarrow S_n=\dfrac{12}{2}[2\times 30+(12-1)(-1)]\\\\\Rightarrow S_n=6[60-11]\\\Rightarrow S_n=294[/tex]
So, there are 294 Poles in 12 layers
