Answer:
7th measurement = -26
Step-by-step explanation:
The sequence is 16, 9, 2, –5, ...,
First term( a)= 16
Second term=9
Common difference (d) = 9-16
Common difference= -7
The sequence is a arithmetic progression
For AP's ,the terms formula is
Term(n) = a + (n-1)d
Where n represent the term to be found
In this case,we Are looking for the 7th term , so n= 7
Term(7) = 16+ (7-1)-7
Term(7)= 16 +6(-7).
Term (7) = 16-42
Term(7) = -26
7th term =-26
Rachel tells Jonah that she can turn a square, but he won’t be able to tell that it was turned after she is finished turning it.
Please help with this question
Find a vector of magnitude 3 in the direction of v = 10i - 24k. The vector is Oi-Oj+k (Simplify your answer. Use integers or fractions for any numbers in the expression).
Given :
A vector v = 10i - 24k.
To Find :
A vector of magnitude 3 in the direction of v = 10i - 24k.
Solution :
Unit vector in the direction of vector v is :
[tex]\^{v}=\dfrac{v}{|v|}\\\\\^{v}=\dfrac{10i-24k}{\sqrt{10^2+24^2}}\\\\\^{v}=\dfrac{10i-24k}{26}[/tex]
Now , vector of magnitude 3 in direction v is :
[tex]r=3 \^{v}\\\\r=3\times \dfrac{ (10i-24k)}{26}\\\\r=\dfrac{3}{13} (5i-12k)[/tex]
Hence , this is the required solution .
The vector of magnitude 3 in the direction of given vector is, [tex]\frac{30i-72k}{26}[/tex]
Unit vector :First we have to calculate unit vector of given vector.
Given vector, [tex]v=10i-24k[/tex]
Unit vector of vector v is,
[tex]v=\frac{10i-24k}{\sqrt{(10)^{2}+(24)^{2} } }\\ \\v=\frac{10i-24k}{\sqrt{100+576} }=\frac{10i-24k}{26}[/tex]
For vector have magnitude 3 is,
[tex]v=3(\frac{10i-24k}{26} )=\frac{30i-72k}{26}[/tex]
The vector of magnitude 3 in the direction of given vector is, [tex]\frac{30i-72k}{26}[/tex]
Learn more about the magnitude of vectors here :
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If youdivide3/4by4/7 which of the following will be your answer? A.3/7 B.7/11 C.1 5/6 D.2 1/3
Answer:
C) 1 5/16
Step-by-step explanation:
(3/4)/(4/7)=(3/4)(7/4)=21/16=1 5/16
Vertical Stretch of 2, up 12, left 7!!! :)
A rectangular box contains 198 cubic inches. If a similar box has the same width but triple the length and triple the height, how many cubic inches does this box contain? The similar box contains cubic inches.
Answer:
the volume of the 2nd box is 1200 cubic inches
Step-by-step explanation:
Answer:
198
Step-by-step explanation:
Early European explorers who discovered the New World were actually looking for a Northwest Passage in order to- Question 2 options:
find a shorter water-route to Asia.
prove the world was round.
improve trade with Native American Indians.
explore the Great Lakes
Answer:
find a shorter water-route to Asia.
Step-by-step explanation:
A farmer creates a maze with bales of hay. The data set below represents the number of minutes it takes children of various ages to complete the maze.
4,4,6, 11, 11, 12, 14, 14, 21, 21, 24, 26
Which of the following histograms correctly displays this data set?
The Histogram is attached blow.
What is Histogram?A histogram is a representation of statistical data that makes use of rectangles to illustrate the frequency of data items in a series of equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most popular type of histogram.
Given:
Data: 4,4,6, 11, 11, 12, 14, 14, 21, 21, 24, 26
So, Interval Frequency
0- 5 4 , 4 (2)
5-10 6(1)
10- 15 11, 11, 12, 14, 14
15- 20 _
20- 25 21, 21, 24
25- 30 26
Hence, the Histogram is attached blow.
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Ashley works in accountant’s office and makes $45 per hour. She must pay $40 for daycare each day. If she wants to make more than $300 a day, at
Answer:
The answer is "8 hours"
Step-by-step explanation:
by the given value we create the equation that is:
[tex]\to 45x-40=300\\\\\to 45x=300+40\\\\\to 45x=340\\\\\to x=\frac{340}{45}\\\\\to x= 7.55\ \ hours \ or \ \ \ 8 \ hours[/tex]
7. Compare the value of the 5 in 85,327 and 435.
Answer:
5 in the 85327= five thousand units
5 in the 435= five units
Step-by-step explanation:
85,327= eighty five thousand, three hundred and twenty seven
Value of five or the position if five in the above number is the thousand position
5 in the above = five thousand unit
435= four hundred and thirty five
The position of five in the above number is the unit position
Five in the above= five unit
A triangle has three interior angle measures; x is the largest angle, y is the next largest angle, and z is the smallest angle. The measure of the largest angle is 60 degrees less than the twice the sum of the measure of the other two angles. The largest angle is twice the smaller angle plus 20 degrees. The sum of the triangle's interior angles is x + y + z = 180. Which two equations represent the remaining angle relationships? Select each correct answer.
x = 2z + 20
x=2(z+y)−60
x=2z+y−60
x = z + 20
x=60−2(z+y)
The answer can be seen on the attachment that I have given.
The two equations that represent the remaining angle relationships are (x = 60 - 2(y + z)) and (x = 2z + 20) and this can be determined by using the given data.
Given :
A triangle has three interior angle measures; x is the largest angle, y is the next largest angle, and z is the smallest angle.The measure of the largest angle is 60 degrees less than twice the sum of the measure of the other two angles. The largest angle is twice the smaller angle plus 20 degrees. The sum of the triangle's interior angles is x + y + z = 180.The linear equation that represents the situation "The measure of the largest angle is 60 degrees less than the twice the sum of the measure of the other two angles" is:
x = 60 - 2(y + z) --- (1)
The linear equation that represents the situation "The largest angle is twice the smaller angle plus 20 degrees" is:
x = 2z + 20 --- (2)
Therefore, the correct option is A) and E).
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WILL MARK BRAINLIST please help! Im stuck
Answer:
width = 5k²
length = 3k² + 7k + 4
Step-by-step explanation:
(see attached)
(3x2 + 3) - (6x + 4) + (3x2 - 5x)
Answer: 16
Step-by-step explanation:
Which represents the solution set of the inequality 5x-9<21?
IA
oli olio
X26
X<6
Answer:
x < 6
Step-by-step explanation:
Given
5x - 9 < 21 ( add 9 to both sides )
5x < 30 ( divide both sides by 5 )
x < 6
Answer:
x < 6
Step-by-step explanation:
5x-9<21
Add 9 to each side
5x-9+9<21+9
5x < 30
Divide by 5
5x/5 < 30/5
x < 6
Let A and B be n-by-n matrices in R^n, and let c be a real number. Which of the following statements about trace is not necessarily true? a. tr(A+B) = tr(A) + tr(B) b. tr(AB) = tr(BA) c. tr(AB) = tr(A)tr(B) d. tr(CA) = ctr(A)
Answer:
c. tr(AB) = tr(A)tr(B)
Step-by-step explanation:
The trace of a matrix is only valid for a square matrix, that is a n by n matrix. The trace of a matrix is the sum of all its diagonal elements. The following properties of trace holds for a matrix A and B with size n by n and a real number c.
i) The trace sum of two matrix is equal to the sum of their individual traces. That is:
tr(A + B) = tr(A) + tr(B)
ii) The trace of the product of a scalar and a matrix is the same as the product of the scalar and the trace of the product, that is:
tr(cA) = ctr(A)
iii) The trace of a transpose of a matrix is equal to the trace of the matrix, that is:
[tex]tr(A^T)=tr(A)[/tex]
iv) The trace of a product of matrix is given as:
tr(AB) = tr(BA)
Answer:
c. tr(AB) = tr(A)tr(B)
1 point An old Honda Civic can go 351 miles on average before it runs out of gas. Its tank holds 11 gallons of gas. What is the car's mph? (miles per gallon) s
Answer:
32 miles per gallon
Step-by-step explanation:
351 divided by 11 = 31.90909090909090909090909090 e.t.c
how are T minus 4 and T plus 4 related?
Answer:
T will equal 4
Step-by-step explanation:
T-4=T-4
T+4=T+4
1
Solve: -1/2x+2=-x+7
Answer:
x=10
Step-by-step explanation:
Step 1: Add x to both sides
Step 2: Subtract 2 from both sides.
Step 3: Multiply both sides by 2.
B. You are given nine stones which look and feel identical. One of them contains a valuable gem worth $250,000 and is actually slightly heavier than the other eight (but not enough to detect by lifting by hand). If you identify the gemstone it is yours to keep. You have a balance scale, (see diagram) which you can use exactly two times. Once you have used the scale twice you never get another opportunity. How can you be certain to find the stone contains the gem. (If you guess at any point you lose your chance to win the gem stone.)
Answer:
Separate the stones into 3 groups of 3.
Let's call each the three groups A, B, and C.
1) Place group A and group B on the two plates of the scale. There are two possible outcomes i) and ii) below:
i) The groups have different weights. A is heavier than B or B is heavier than A. Take the heavier group. Place two stones from this group on the scale. If one is heavier than the other, this is it. If they are equal, the stone not on the scale is it.
ii) Groups A and B have equal weights. The heavier stone in in group C. Using group C, place two stones from this group on the scale. If one is heavier than the other, this is it. If they are equal, the stone not on the scale is it.
Hi Folks, please any hand with this equation of a straight line / gradients coordinates excercise please. thanks
don't give up you got it always stay positive
Help please thank you
37 points! Need this asap
Answer:
a. Point E
b Line AB
Step-by-step explanation:
The lines AB and CD will intersect at a point
The Point is Point E
Planes will intersect at a line
Planes X and Plane Y intersect at line AB
Answer:
a. point E
b. points A and B ( which is line AB )
Step-by-step explanation:
a. the intersection of AB and CD = point E
b. the intersection of plane X and Y = points A and B ( which is line AB )
Twenty-three student compete in a math competition in which the top three studentsare recognized with trophies for first, second, and third place. How many different outcomes arethere for the top three places?
Answer:
10626 ways
Step-by-step explanation:
Given
Number of students = 23
Prizes = 3
Required
Number of different outcomes for the top 3
This question will be solved using permutation formula because it implies selection of 3 students from 23
[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]
Where n = 23 and r = 3
The formula becomes
[tex]^{23}P_3 = \frac{23!}{(23-3)!}[/tex]
[tex]^{23}P_3 = \frac{23!}{(20)!}[/tex]
[tex]^{23}P_3 = \frac{23!}{20!}[/tex]
[tex]^{23}P_3 = \frac{23 * 22 * 21 * 20!}{20!}[/tex]
[tex]^{23}P_3 = 23 * 22 * 21[/tex]
[tex]^{23}P_3 = 10626[/tex]
Hence, there are 10626 ways
The perimeter of a square can be expressed by the function f(s) = 4s, where s is the length of the side in inches.
Answer:
answer choice D
Step-by-step explanation:
CORRECT ANSWER IS D
i believe
5. Topic 1 Independent Practice
Use the following set to answer the question.
{ (-2,1), (-1,0), (0,1), (1,2)}
True or false, this set is a function?
O True
O False
Plisss
Answer:
True
Step-by-step explanation:
This set is a function because every input value only has one output value.
the point-slope form of the equation that passes through (-4, -3) and (12, 1) is y - 1 = 1/4(x-12). what is the standard form of the equation for this line?
A) x-4y=8
B) x-4y=2
C) 4x-y=8
D) 4x-y=2
Answer:
A
Step-by-step explanation:
So we know that the point-slope form of the line that passes through the points (-4,-3) and (12,1) is:
[tex]y-1=\frac{1}{4}(x-12)[/tex]
And we want to convert this to standard form.
The standard form of a linear equation is:
[tex]Ax+By=C[/tex]
Where A, B, and C are integers, and, traditionally, A is positive.
So, first, multiply everything by 4 to remove the negative:
[tex]4(y-1)=4(\frac{1}{4}(x-12))[/tex]
Distribute the left. The right cancels:
[tex]4y-4=x-12[/tex]
Add 4 to both sides. The left cancels:
[tex]4y=x-8[/tex]
Subtract x from both sides:
[tex]-x+4y=-8[/tex]
As I mentioned previously, the coefficient of A tends to be positive. So, divide everything by -1:
[tex](-x+4y)/-1=(-8)/-1[/tex]
Simplify:
[tex]x-4y=8[/tex]
So, our answer is A
And we're done!
What is the Absolute value of -6
Answer:6
Step-by-step explanation:
convert 32.615 to exponential notation
Answer:
In exponential form
3.2615 X 10¹
equation
Be sure that your last entry is the solution to the equation
and in simplest form.
You do not need to use all rows of the table.
10x + 8 = 4x + (-4)
Enter equivalent equations below
Answer:
10x+8=4x+(-4).
10×+8=4x-4.
collect like terms.
10x-4x=-4-8.
6x=-12.
x=-12/6.
x=-2.
A pianist plans to play 7 pieces at a recital. In how many ways can she arrange these pieces in the program?
Answer:
5040
Step-by-step explanation:
7 x 6 x 5 x 4 x 3 x 2 = 5040 different ways. Look at it this way: The first place can be taken by any of the 7 objects, which leaves any of 6 objects available for second place, which leaves any of 5 objects that then leaves 4 then 3 then 2 then 1
HOPE THIS HELPS
What is the conjugate of 5 - 4i?
Answer:
5 + 4i
Step-by-step explanation:
In general, the conjugate of a + bi is a - bi