(-10)-(-6) ( subtracting integers)
Negative when subtracted is counted as positive because negative multiplied with negative gives positive
-10-(-6)
-10+6
-4 answer
Answer:
-4
Step-by-step explanation:
(-10)-(-6)=
-10 + 6=
-4
hope this helps
have a good day
The pattern follows the "add one dot to the top of each column and one dot to the right of each row" rule. What will the 6th term be? (1 point)
A pattern showing the square term number rule. The first term has one dot. The second term has four dots. The third term has nine dots. The fourth term has sixteen dots.
a
36
b
49
c
64
d
81
The pattern for the 6th term of the sequence is A₆ = 36
Given data ,
The first term has one dot (1² = 1)
The second term has four dots (2² = 4)
The third term has nine dots (3² = 9)
The fourth term has sixteen dots (4² = 16)
So , the fifth term A₅ = 25
And , from the pattern , the 6th term A₆ = 36
Hence , the 6th term is A₆ = 36
To learn more about geometric progression click :
https://brainly.com/question/1522572
#SPJ1
i need to multi-step function inverse, photo will be included
Answer:
inverse: \(f^{-1}(x) = \sqrt[5]{x^3 - 5}\)
explanation:
Given: f(x) = \((x^5 +5)^{\frac{1}{3} }\)
let f(x) be y
y = \((x^5 +5)^{\frac{1}{3} }\)
To find inverse, make x the subject.
\(y^3 = x^5 + 5\)
\(y^3 - 5 = x^5\)
\(x = \sqrt[5]{y^3 - 5}\)
change signs:
\(f^{-1}(x) = \sqrt[5]{x^3 - 5}\)
The sum of two numbers is 45. One number is twice of the other. What is the greater number?
Answer:
30
Step-by-step explanation:
x + 2x = 45
3x = 45
x = 45 ÷ 3
x = 15
so the greater number is,
15 × 2 = 30
Round to the nearest 10th find circumference
Solve for x. Enter the solutions from least to greatest. x^2 +7=43
Answer:
x = - 6, x = 6
Step-by-step explanation:
Given
x² + 7 = 43 ( subtract 7 from both sides )
x² = 36 ( take the square root of both sides )
x = ± \(\sqrt{36}\) = ± 6
Thus
x = - 6, x = 6
Answer:
x exponent 2=43-7
x^2=36
x=6
Step-by-step explanation:
shannon and courtney share £42 into the ratio 3:4 . how much money do they each recieve?
Answer:
Total ratio = 3+4 = 7
Shannon's share = 3/7 × 42 = £18
Courtney's share = 4/7 × 42 = £ 24
Hope this helps.
Answer:
Shannon gets £18 and Courtney gets £24
Step-by-step explanation:
Total Money = £42
Ratio = 3:4
Total Parts = 3+4 = 7
Shannon:
=> \(\frac{3}{7} * 42\)
=> 3*6
=> £ 18
Courtney:
=> \(\frac{4}{7} *42\)
=> 4*6
=> £24
Iven that tanx=10 and sinx is positive, determine sin(2x), cos(2x), and tan(2x). Write the exact answer. Do not round. Calculator
Given that tanx=10 and sinx is positive, Therefore, `sin(2x) = 20/101`, `cos(2x) = 0`, and `tan(2x) = -1/5`.
We can start by using the identity:
\(tan^2(x) + 1 = sec^2(x)\)
to solve for cos(x) and sec(x)
Since `tan(x) = 10` we have:
\(tan^2(x) = 100\)
Using the identity\(tan^2(x) + 1 = sec^2(x)\) we get:
\(sec^2(x) = tan^2(x) + 1 = 100 + 1 = 101\)
So \(sec(x) = \sqrt{101}\).
Since `sin(x)` is positive and\(sin^2(x) + cos^2(x) = 1\), we can use\(cos(x) =\sqrt{ (1 - sin^2(x))}\)to solve for `cos(x)`.
Using \(tan(x) = sin(x)/cos(x)\)we can solve for `sin(x)`:
\(tan(x) = sin(x)/cos(x)\)
\(10 = sin(x)/\sqrt{101}\)
\(sin(x) = 10 * \sqrt{101} /101\)
Now that we have `sin(x)` and `cos(x)`, we can use the double angle formulas:
sin(2x) = 2sin(x)cos(x)
cos(2x) = cos^2(x) - sin^2(x)
\(tan(2x) =\frac{ (2tan(x))}{(1 - tan^2(x))}\)
Plugging in the values we calculated earlier, we get:
\(sin(2x) = 2(10 *\sqrt{101}/101) * (1/\sqrt{101} ) = 20/101`\)
cos(2x) = (1 - 101/101) = 0
tan(2x) = (2 * 10)/(1 - 100) = -1/5
Therefore, `sin(2x) = 20/101`, `cos(2x) = 0`, and `tan(2x) = -1/5`.
Learn more about angle here: https://brainly.com/question/31818999
#SPJ11
Marble C, with mass 5. 0 g, moves at a speed of
20. 0 cm/s. It collides with a second marble, D, with mass
10. 0 g, moving at 10. 0 cm/s in the same direction. After
the collision, marble C continues with a speed of
8. 0 cm/s in the same direction.
a. Sketch the situation, and identify the system. Identify
the before and after situations, and set up a coordi-
nate system.
b. Calculate the marbles' momentums before the
collision.
c. Calculate the momentum of marble C after the
collision.
d. Calculate the momentum of marble D after the
collision.
What is the speed of marble D after the collision?
a. The system in this situation is the two marbles.
b. The marbles' momentums before the collision is 100 g cm/s.
c. The momentum of marble C after the collision is 40 g*cm/s.
d. The momentum of marble D after the collision is 160 g*cm/s.
e. The speed of marble D after the collision is 16.0 cm/s.
a. We can sketch the situation as follows:
Before the collision:
Marble C --------------->
Marble D --------------->
After the collision:
Marble C --------------->
Marble D --------------->
The system in this situation is the two marbles. The before and after situations refer to the state of the system before and after the collision. We can set up a coordinate system with the positive direction being the direction in which the marbles are moving.
b. The momentum of marble C before the collision is given by p_C = m_C * v_C = 5.0 g * 20.0 cm/s = 100 gcm/s. The momentum of marble D before the collision is given by p_D = m_D * v_D = 10.0 g * 10.0 cm/s = 100 gcm/s.
c. The momentum of marble C after the collision is given by p_C = m_C * v_C = 5.0 g * 8.0 cm/s = 40 g*cm/s.
d. The total momentum of the system before the collision is p_before = p_C + p_D = 100 gcm/s + 100 gcm/s = 200 gcm/s. The total momentum of the system after the collision is p_after = p_C + p_D = 40 gcm/s + p_D. Since momentum is conserved, p_before = p_after, so 200 gcm/s = 40 gcm/s + p_D. Solving for p_D gives p_D = 160 g*cm/s.
e. The speed of marble D after the collision is given by v_D = p_D / m_D = 160 g*cm/s / 10.0 g = 16.0 cm/s.
To learn more about Collision,
visit; brainly.com/question/4322828
#SPJ4
Find the scale factor,and find the unknown side lengths.
Help if you can please
Step-by-step explanation:
Solution,
since two of these triangle are similar so,
i) LK/LJ=MN/NO
or,j/8=18/12
or,j=18×8/12
.°. j = 12m
ii)JK/JL=MO/NO
or,10/8=n/12
or,120/8=n
.°.n=15m
11. Simplify the equation below.
(12x +9y-15) + '. (&x-12 y-20)
A. 10x + 3y -15
B. 10x + 3y - 5
C. 10x +3y +15
D. 10x + 3y +5
i think it should be answer B
I believe its also b after working it out for around 20 minutes i have to come to the conclusion that its B this can be APPROVED by the nation math's government department
Use long division to determine the decimal equivalent of 2/3
Answer: 0.6666... (never ending digit)
Step-by-step explanation:
2/3 divide the numerator, '2' by the denominator '3'
Help me with this I don’t understand.
The equation of the parabola in the given graph is:
y = 2(x + 3)² + 1
Which is the equation of the parabola?Remember that for a parabola whose vertex is (h, k) and leading coefficient is a can be written as:
y = a(x - h)² + k
Here we can see that the vertex is at (-3, 1), then we can write:
y = a(x + 3)² + 1
Now, notice that the parabola opens upwards, which means that the leading coefficient must be positive.
From the options, we have only one where the leading coefficient is positive, which is:
y = 2(x + 3)² + 1
Learn more about parabolas at:
https://brainly.com/question/4061870
#SPJ1
There are two jars with marbles. The first jar contains 3 red, 4 green, and 5 blue marbles. The second jar contains 4 red, 2 green, and 6 blue marbles. What is the probability of the randomly drawing a green marble from the first jar and blue marble from the second jar
Answer:
both jars contain 12 marbles
for the first jar the probability is 4/12 which is 33%
for the second jar the probability is 6/12 which is 50%
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
theres 12 mables in each jar in this situation.
Chase ordered a set of beads. He received 4,000 beads in all. 3,000 of the beads were green. What percentage of the beads were green?
75% of the beads are green in color.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Chase ordered a set of beads
He received 4,000 beads in all.
3,000 of the beads were green.
We need to find the percentage of the beads were green of 4000.
x/100×4000=3000
40x=3000
Divide both sides by 40
x=75%
Hence, 75% of the beads are green in color.
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ1
two customers took out home equity loans.
Cathy took out a 10-year loan for $20,000 and paid %5.20 annual simple interest
Steven took out a 15-year loan for 20,000 and paid %4.80 annual simple interest
what is the difference that Cathy and Steven paid for their loans?
The difference in the amount paid by Cathy and Steven is $4000.
What is the difference in the amounts?
Simple interest is when the interest that is paid on the loan of a customer is a linear function of the loan amount, interest rate and the duration of the loan.
Simple interest = amount borrowed x interest rate x time
Simple interest of Cathy = $20,000 x 0.052 x 10 = $10,400
Simple interest of Steven = $20,000 x 0.048 x 15 = $14,400
Difference in interest = $14,400 - $10,400 = $4000
To learn more about simple interest, please check: https://brainly.com/question/27328409
#SPJ1
A store has 2000 grocery bags to give away as part of its grand opening. The store is handing out 150 bags per hour. In how many hours will the store have 950 bags remaining? Write an equation that represents this scenario. Then solve.
Answer:
13.3 repeated
Step-by-step explanation:
You need to take 2000 and divide it by 15. Then your answer will come.
*13.3*
Answer:
7 hrs
Step-by-step explanation:
2000 grocery bags
Let x be the number of hours
If they're handing out 150 bags per hour, then 150x would be the amount given out in x hrs.
Since we want to get 950 bags left over a certain number of hrs, make this equation and solve:
950=2000-150x
150x=1050
x=7
Please Help!
For this sequence, 4, 9, 14, 19, 24 ... state if it is arithmetic, geometric, or neither.
A. Geometric
B. Arithmetic
C.Neither
Answer:
Arithmetic
Step-by-step explanation:
It is adding by 5
Answer:
B. arithmetic
Step-by-step explanation:
it is in arithmetic sequence as we can see the common difference (d) = 9 - 4 = 5
and so all the other terms are greater by 5
Hope it will help :)
What are the domain and range of the function represented by the set of
ordered pairs?
{(-3, 2), (-2, 1), (-1,0), (0, -1)}
A. Domain: (-3, -2,-1,0)
Range: -1, 0, 1, 2}
B. Domain: {-1, 0, 2, 1)
Range: (-3, -2, -1,0}
OC. Domain: -3≤x≤0
Range: -1 ≤ y ≤ 2
D. Domain: -3≤x≤0
Range: {-1, 0, 1, 2}
The domain is the set with the first values of each pair, the range is the set with the second value of each pair.
Domain: {-3, -2, -1, 0}Range: {2, 1, 0, -1}How to identify the domain and range of the given relation?
A relation maps elements from a set, the domain, into another set, the range.
Such thar a relation is represented by pairs (a, b), where it means that the element a is being mapped into the element b. (So, a is in the domain, and b in the range)
In this case, our relation is represented by:
{(-3, 2), (-2, 1), (-1,0), (0, -1)}
The domain is the set with the first values of each pair, the range is the set with the second value of each pair.
Domain: {-3, -2, -1, 0}Range: {2, 1, 0, -1}So the correct option is A.
If you want to learn more about domain and range:
https://brainly.com/question/10197594
#SPJ1
Suppose Joan has a fair four-sided die with sides that are numbered 1, 2, 3, and 4.
After she rolls it 20 times, how many times does she roll the number 3?
A. 3
B. 5
C. 6
D. It is impossible to tell.
To find the expected number of times Joan rolls a 3, we use the formula for mean of a binomial distribution.
The correct option is, option (C) 6.
The probability of rolling a number 3 on any given roll is 1/4
If Joan rolls the die 20 times, the number of times she rolls a 3 will follow a binomial distribution with n = 20 (number of trials) and p = 1/4 (probability of success).
The formula for the probability mass function of a binomial distribution is:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
where X is the random variable representing the number of successes (the number of times Joan rolls a 3), k is the number of successes, n is the number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.
Using this formula, we can calculate the probability of rolling a 3 exactly k times out of 20 rolls:
P(X=k) = (20 choose k) * (1/4)^k * (3/4)^(20-k)
To find the expected number of times Joan rolls a 3, we can use the formula for the mean of a binomial distribution:
E(X) = n * p
In this case, E(X) = 20 * 1/4 = 5
Therefore, the expected number of times Joan rolls a 3 is 5.
Since the possible answers are integers, the closest answer to 5 is 6. Therefore, the answer is (C) 6.
Know more about binomial distribution here:
https://brainly.com/question/29163389
#SPJ11
what is $20.00 take away $4.60
The rate of change for of y = 2x + 6 is __________.
Answer:
2
Step-by-step explanation:
the rate of change is the coefficient of x
Which value of x makes the equation 1.25(4x − 10) = 7.5 true?
A. 3.5
B. -1
C. -0.5
D. 4
The awnser is x =4 or just 4
D=4
Answer:
x=4
Step-by-step explanation:
Using divisibility tests determine whether 4186650 is divisible by 6,by 8, by 11
(pls answer this)
Answer:
The Answer is only 6Step-by-step explanation:
To check for 6 - Number should be Divisible by 2 and 3
4186650 is divisible by 2 % 3
To check for 8 - Las Three digits should be taken as a number and be checked if its divisible my 8
4186650 / 4 = 165.5
So the number is not divisible by 8
To check for 11 - we need to add the odd places and the even places and then subtract them both. if the answer is 11 or 0 then its divisible
4 + 8 + 6 + 0 = 19
1 + 6 + 5 = 12
19 - 12 = 7
So the number is not divisible by 11
Hope you are clear
Pls mark Brainliest-> Which expression is equivalent to -3z + 17 – (-152) - (-4)?
-12z + 13
18z + 21
-18z + 13
12z + 21
Answer:
12z+21
Step-by-step explanation:
Did you mean: -3z + 17- (-15z) - (-4) :(-15z) and not (-152)!!
=-3z+17+15z+4
=12z+21
Assuming a three-variable model Yt = α1 + α2x2+ a3x3 where α2,and α3 are partial regression coefficients. You have been asked in a job interview to briefly describe the meaning of the two parameters in this context.
the partial regression coefficients in a multiple regression model represent the expected change in the dependent variable associated with a unit change in the corresponding independent variable, holding other variables constant.
In the context of the three-variable model Yt = α1 + α2x2+ a3x3 where α2 and α3 are partial regression coefficients, the coefficients represent the changes in Y associated with a unit change in x2 and x3, respectively. The partial regression coefficient represents the expected change in Y when x2 or x3 increases by one unit, while keeping other variables constant.
The partial regression coefficient for α2, α2, measures the effect of the variable x2 on Y. It tells us how much Y is expected to change for every unit increase in x2, holding the other variables constant. Similarly, the partial regression coefficient for α3, α3, measures the effect of the variable x3 on Y, and tells us how much Y is expected to change for every unit increase in x3, holding the other variables constant.
It is important to note that the regression coefficients are estimates obtained from sample data, and are subject to sampling variability. Therefore, it is important to consider the uncertainty associated with the estimates when interpreting the results.
To know more about coefficients visit:
https://brainly.com/question/1594145
#SPJ11
The eigenvalues of a matrix A are the same as the eigenvalues of the reduced row echelon form of A.TRUE/FALSE
False, The eigenvalues of a matrix A are not same as the eigenvalues of the reduced row echelon form of A.
A matrix's eigenvalues are not the same as those of the matrix's reduced row echelon form, contrary to what is claimed.
This is due to the fact that when a matrix is reduced to its echelon form via row operations, its eigenvalues may not always stay the same. The eigenvalues of a matrix may be different in the reduced row echelon form than they are in the original matrix as a result.
Think about these matrices as an illustration:
Likewise, B's reduced row echelon form is B, and B's eigenvalues are both 1.
A = [1 2; 2 1]
and
B = [1 0; 0 1].
The eigenvalues of a matrix and its reduced row echelon form are thus typically not the same.
Learn more about Matrix:
https://brainly.com/question/9967572
#SPJ4
FALSE. The eigenvalues of a matrix A are NOT the same as the eigenvalues of the reduced row echelon form of A.
Explanation:
Eigenvalues are scalar values that, when multiplied by an eigenvector, produce the same effect as the original matrix A on that eigenvector. Mathematically, for a matrix A and its eigenvector v, Av = λv, where λ is the eigenvalue.
Row echelon form is a matrix transformation using elementary row operations to obtain a triangular form. The reduced row echelon form (RREF) is a further simplified version of the row echelon form.
However, transforming a matrix A to its RREF changes the properties of the matrix, and therefore the eigenvalues of matrix A and its RREF are generally not the same. The eigenvalues are preserved only under specific matrix transformations, such as similarity transformations, which row echelon form is not one of them.
To learn more about Eigen values : brainly.com/question/30967600
#SPJ11
(3 x^3 y^3) (-6 y^5)
please help due tmr!!!
Answer:
y 4 4x + 2
y< 6 x+3
Step-by-step explanation:
Someone pls help?????????????????????????
Answer:
p=m*9+9
So 45/4=9
9*4=36
36+9=45
Check with table
5*9=45
45+9=54
6+9=54
63+9=63
7+9=63
63+9=72
So as you can se the equation is p=9*m+9
Hopes this helps!