The value of x for the function g(x) = 5x + 2 is x = 1.
How to solve for the value x for the function g(x)From the question we have that the function g(x) = 5x + 2 and also defined as g(x) = 7
So we have
5x + 2 = 7
subtract 2 from both sides of the equation
5x + 2 - 2 = 7 - 2
5x = 5
divide through by the coefficient of x
5x/5 = 5/5
x = 5
Thus the function g(x) = 5x + 2 has the value for x = 1
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A variable needs to be eliminated to solve the system of equations below. Choose the correct first step
X-7y=-45
-x+8y=51
Step-by-step explanation:
x - 7y = -45
-x +8y = 51
the X's cancel out
-7y + 8y = -45 + 51
y = 6
Can someone please help me please?
Answer: C
Step-by-step explanation:
How do do this problem
Answer:
42 in
Step-by-step explanation:
The lengths of the tangent segments drawn from an external point to a circle are equal.
AT and RT meet at point T
⇒ AT = RT = 9 in
RE and GE meet at point E
⇒ RE = GE = 5 in
AN and NG meet at point N
⇒ AN = GN = 7 in
Total perimeter = AT + RT + RE + GE + GN + AN
= 9 + 9 + 5 + 5 + 7 + 7
= 42 in
About 217,000 high school students took the AP Statistics exam in 2017. The free-response section of the exam consisted of five open-ended problems and an investigative task. Each free-response question is scored on a 0 to 4 scale (with 4 being the best). For one of the problems, a random sample of 30 student papers yielded a mean score of x =1.267 and a standard deviation of 1.230. a. Find and interpret the standard error of the mean. b. Construct and interpret a 90% confidence interval to estimate the true mean score on this question.
The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.
What is a confidence interval?The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.
The confidence interval formula is \(\bar x\pm t\frac{s}{\sqrt{n}}\).
Where, \(\bar x\) is the sample mean, t is the critical value, n is the sample size and s is the standard deviation for the sample.
Here,
\(\bar x\) =1.267, s=1.23, n=30
The standard error is Se= 1.23/√30
= 0.2246
Item a:
The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.
Item b:
Using a t-distribution calculator, considering a confidence level of 0.99 with 30 - 1 = 29 df, the critical value is t = 2.7564.
\(\bar x\pm tS_c\)
\(\bar x+ tS_c\) =1.267-2.7564(0.2246) =0.6479
\(\bar x- tS_c\) =1.267+2.7564(0.2246) =1.8861
Therefore, the 99% confidence interval to estimate the true mean score on this question is (0.6479, 1.8861). It means that we are 99% that the true mean score of all students in this question is between 0.6479 and 1.8861.
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Help me please it’s confusing
Answer: 1/6
Step-by-step explanation:
To subtract fractions, you must have a common denominator. To do this, the common multiple of 3 and 2 is 6. So 2/3 is multiplied by 2/2 and 1/2 is multiplied by 3/3. The multiplication is valid since we multiplied by one, it didn't alter the value but rather it put it into an alternate, equivalent form.
PLEASE HELPPP SOLVEE!!!
Answer:
no
Step-by-step explanation
Gia opened two savings accounts at two different banks. One account earns an annual 3.4% simple interest, and the other earns half as much.
If she deposited $500 in each account, how much total interest will she have earned in 4 years?
Answer:
$127.50
Hope this helps:)
A child walks 3/10 of a mile in 1/5 hour. At this rate, how far will the child walk in 1 hours ?
Answer:
1.5 miles
Step-by-step explanation:
.3 miles/12 minutes x 5/5 = 1.5 miles/ 1 hour
HELPPP ITS DUE TODAY!!!
Given the function rule h(x)=6x-1, find the value of h(3)
Answer:
put x=3 in equation we get
18-1
17 is the answer
Find the slant height of the pyramid.
7 mm
6 mm
8 mm
5 mm
Answer:
5 mm
Step-by-step explanation:
Given:
A rectangular pyramid
h (height) = 4 mm
l (side length) = 6 mm
Find: s (slant height) - ?
There is a right triangle in the middle
The bottom leg is 3 mm, because it's half the side length of the square
According to that, we can find x by using the Pythagorean theorem:
\( {x}^{2} = {3}^{2} + {4}^{2} = 9 + 16 = 25\)
\(x > 0\)
\(x = \sqrt{25} = 5\)
I Bought 10 apples three days ago. 3 of them were rotten, I ate 2 and gave 5 away. How many apples do I have left?
I'll give you 30 points if you get this right. CHOOSE WISELY :)
Answer: 0
Step-by-step explanation: if you gave 5 away your left with 5 if 3 were rotten your left with 2 but you ate 2 meaning you have no apples left.
(−3⋅10 3 )⋅(4⋅10 6 )=
Answers:
A. -12x10^9
B. -12x10^3
C. 12x10^3
D. 12x10^9
Answer:
A
Step-by-step explanation:
-3 x 4 = -12
\(10^{3}\) x \(10^{6}\) = \(10^{9}\) You add the exponents when you are multiplying powers with the same bases.
I really need this question someone please help
Answer:
\(\approx 15.9\)
Step-by-step explanation:
The length of an arc with measure \(\theta\) and radius \(r\) is given by \(\ell_{arc}=2r\pi\cdot \frac{\theta}{360}\). From the figure, we know that the radius of arc ADC is 4, but we don't know the measure of the arc. Since there are 360 degrees in a circle, the measure of arc ADC is equal to the measure of the arc formed by \(\angle AOC\) subtracted from 360. The measure of the arc formed by \(\angle AOC\) consists of two congruent angles, \(\angle AOB\) and \(\angle COB\). To find them, we can use basic trigonometry for a right triangle, since by definition, tangents intersect a circle at a right angle.
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
We have:
\(\cos \angle AOB=\cos \angle COB=\frac{4}{10},\\\angle AOB=\arccos(\frac{4}{10})=66.42182152^{\circ}\)
Therefore, \(\angle AOC=2\cdot 66.42182152=132.84364304^{\circ}\)
The measure of the central angle of \(\widehat{ADC}\) must then be \(360-132.84364304=227.15635696^{\circ}\)
Thus, the length of \(\widehat{ADC}\) is equal to:
\(\ell_{\widehat{ADC}}=2\cdot 4\cdot \pi \cdot \frac{227.15635696}{360},\\\ell_{\widehat{ADC}}=15.8585053832\approx \boxed{15.9}\) (three significant figures as requested by question).
Simplify the expression. -6 + 3(2 - 4t) *
Answer:
-6 + 6 - 12t *
0 - 12t *
12t *
Therefore the answer is 12t *
7. Solve for x. x/7=7
Answer:
49
Step-by-step explanation:
7x7=49
answer here literally 5th grade math (kinda not math just logic)
Answer:
Sophia: Deep Ocean, Heather: Soft Sky, Mia: Peacock Feathers
Step-by-step explanation:
If the first statement is true:
Sophia DID choose Peacock FeathersSophia DID choose Deep OceanHeather DID choose Deep OceanHeather DID choose Soft SkyIf the second statement is true:
Sophia DID NOT choose Peacock FeathersSophia DID NOT choose Deep OceanHeather DID NOT choose Deep OceanHeather DID NOT choose Soft SkyIf the third statement is true:
Sophia DID NOT choose Peacock FeathersSophia DID choose Deep OceanHeather DID NOT choose Deep OceanHeather DID choose Soft SkyIf the fourth statement is true:
Sophia DID NOT choose Peacock FeathersSophia DID choose Deep OceanHeather DID choose Deep OceanHeather DID NOT choose Soft SkyOut of all of these, only the third statement has no doubles.
Josie has a standard number cube and a fair coin. What is the probability that Josie will roll a 3 and flip a tail?
A) 1/4
B) 1/6
C) 1/8
D) 1/12
What is the LCD of 3/8 and 3/5
The lowest common denominator of 3/8 and 3/5 is 40.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3/8 and 3/5
LCD means the lowest common denominator.
So,
8 x 5 = 40
5 x 8 = 40
Thus,
The lowest common denominator of 3/8 and 3/5 is 40.
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Select the range of the following relation { (20, 2), (30, 4), (40, 1), (50, 2)} A {1, 2, 3) B {1,2,4} C {1, 2, 3, 4) D {2, 3, 4)
Answer:
B {1,2,4}
Step-by-step explanation:
I took the test
Given the recursive formula, find the eleventh term in the sequence.
an = an-1.3, a1 = 1
177147
3
31
59049
Answer:
This is the website for the answer it's the fourth question.
https://mathsheetz.weebly.com/uploads/1/0/9/1/109181607/03-07-18_key_notes___hw_geometric_sequences.pdf
Step-by-step explanation:
Hope this helped! :)
John has 312ft of fencing for a rectangular garden. If the garden’s length is to be 6 ft more than 5 times its width, what should the gardens dimensions be?
Step-by-step explanation:
The given is that John has 312ft of fencing. (Think of the 312ft as the perimeter)
The garden's legth is 6 ft more than 5 times it's width.
Let X be the garden's width:
This is what we know about the length:
It is 5 times + 6 more than the width
Now that we know this, lets set an equation to find the garden's dimentions.
X + (5X+6) = 312
(because we know Y = X * 5 + 6)
Now it's time to simplify:
Simplified X is equal to 51, so this is the length.
From the given the length is 5 times + 6 more than the width so the length is 5*51+6 which is 261
Answer:
The width is 51 and the length is 261. Hope this is correct and hope this helps. Brainliest would help :)
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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A soccer coach surveyed the players to determine the number who preferred selling coupon books, magazine subscriptions, or both for their fundraiser. The results are given in the Venn diagram. To the nearest whole percent, what is the value of a in the relative frequency table for the survey results? a = 27% a = 42% a = 81% a = 88%
The value of a in the relative frequency table for the survey results a = 27%
From the given Venn diagram, the total number of players = 11 + 3 + 7 + 5 = 26
The number of players preferred magazines books which are not coupon books = 7
The relative frequency for the players who preferred magazines books which are not coupon books (a)=
magazine books but not coupon books/ total player = 7 / 26 = 0.269
In percent,
7/26 x 100 = 26.9 = 27%
Hence, a = 27%
Therefore, the value of a in the relative frequency table for the survey results a = 27%
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Rauol made an investment in 155 shares of stock in a load fund for $3,117.05. After one year the stock had a net asset value of $18.35 per share. If Rauol redeems all 155 shares, which of the following is a correct statement?
a.Rauol will have a loss of $272.80.
b.Rauol will have a profit of $272.80.
c.Rauol will have a profit of $2,844.25.
d.There is not enough information to calculate profit or loss.
Answer:
The answer is A
Step-by-step explanation:
i got it right on edge <3
Answer:
It is A
Step-by-step explanation:
The other guy is right
The numbers 28, x+2, 112 form a geometric progression. What is the 10th term?
how can you use pythagora's theorem to solve problems involving right-angled triangles
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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Select all polynomials that have by (x -3) as a factor.
Choose all answers that apply:
A. A(x) = x^3-2x^2-4x+3
B. B(x) = x^3+3x^2-2x-6
C. C(x) = x^4-2x^3-27
D. D(x) = x^4-20x-21
Show that if matrices A and B have the same RREF, then A can be turned into B by a finite sequence of elementary row operations. Hint: Show that any elementary row operation can be undone (inverted,).
Answer:
The answer is below
Step-by-step explanation:
A matrix is in row echelon form if it satisfies the following three conditions:
(i). All non-zero rows are above any zero rows.
(ii). Each leading entry in a row is in a column to the right of the leading entry of the row above it.
(iii). All the entries in a column below a leading entry are zeros.
The following operations on a matrix are called elementary row-operations:
1. Interchanging the ith and the jth rows, expressed as ri <--> rj.
2. Replacing the ith row by a multiple of itself expressed as ri --> krj, where k is a non-zero scalar.
3. Replacing the jth row by the sum of itself and a non-zero multiple of the ith row, expressed as rj --> rj + kr.
It may be observed that all the 3 elementary row-operations are reversible. Thus. ri <--> rj can be reversed by ri <--> rj, ri --> kri can be reversed by ri -->(l/k)*ri, (here ri indicates the new ith row) and rj --> rj + kr can be reversed by rj --> rj - krj.
Now, since both the matrices A and B are reduced to the same RREF C (say), hence reversing the elementary operations used to reduce B to C, we get B from C. Thus, A can first be converted to C and then to B.
On a recent math assignment consisting of 32 problems, Wendy had 5 application problems, and the
rest involved only computation. What percent of the problems were only computation?
Answer:
84.375%
Step-by-step explanation:
Total no. of computation problem=32-5=27
Total no. problems in the assignment=32
=) per%= 27/32×100%=84.375%
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Which expression represents twice the sum of a number and six
Answer:
2(x + 6)
Step-by-step explanation:
If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:
2(x + 6)
Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)