Answer:
k = -17 + 4x
Step-by-step explanation:
Simplifying
4x + -1k = 17
Reorder the terms:
-1k + 4x = 17
Solving
-1k + 4x = 17
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-4x' to each side of the equation.
-1k + 4x + -4x = 17 + -4x
Combine like terms: 4x + -4x = 0
-1k + 0 = 17 + -4x
-1k = 17 + -4x
Divide each side by '-1'.
k = -17 + 4x
What expression is equivalent to 2(t-4)+1
Answer:2t-7
i just kinda solved it hehe
The (2t - 7) is the expression that is equivalent to (2(t-4)+1) and this can be determined by using the arithmetic operations.
Given :
Expression - 2(t - 4) + 1
The following steps can be used to evaluate the given expression:
Step 1 - Open the parenthesis in the given expression. Then multiply 2 by t and then multiply 2 by -4.
= 2t - 8 + 1
Step 2 - Now, subtract 8 from 1 in the above expression.
= 2t - 7
So, the (2t - 7) is the expression that is equivalent to (2(t-4)+1).
For more information, refer to the link given below:
https://brainly.com/question/2353072
plz Help your fav. Marshmello i wasn' t,,,,, xx born yesterday.
Answer:
[tex] \boxed{B. \: 16 \: yards} [/tex]
Given:
Length of rectangle (l) = 28 yards
Perimeter of rectangle = 88 yards
Step-by-step explanation:
Let width of rectangle be 'w'
[tex] = > Perimeter \: of \: rectangle = 2(l + w) \\ \\ = > 88 = 2(28 + w) \\ \\ = > \frac{88}{2} = 28 + w \\ \\ = > 44 = 28 + w \\ \\ = > 28 + w = 44 \\ \\ = > w = 44 - 28 \\ \\ = > w = 16 \: yards[/tex]
Width of rectangle = 16 yards
A rectangle is 18.4 cm long and 16.3 cm wide. What is a) the perimeter of this rectangle and b) the area of this rectangle?
Answer:
Perimeter = 69.4 cm
Area = 299.92 square cm
Step-by-step explanation:
Given:
length of rectangle (l) = 18.4 cm
Width of rectangle (w) = 16.3 cm
a) Perimeter of rectangle
= 2( l + w)
= 2 ( 18.4+16.3)
= 2 * 34.7
= 69.4 cm
b) Area of rectangle = lw = 18.4*16.3 = 299.92 square cm
Write an exponential equation in the form y = ab* whose graph passes through points (2, 18) and (5, 60.75).
Let [tex]y=ab^x,[/tex] as described in the problem statement. Plugging in [tex]x=2[/tex] and [tex]x=5[/tex] gives us the equations [tex]18=ab^2[/tex] and [tex]60.75=ab^5.[/tex] Since [tex]a,b[/tex] are nonzero, we divide the second equation by the first to get [tex]\frac{27}{8}=b^3,[/tex] which means that [tex]b=\frac{3}{2},[/tex] after taking the cube root. Plugging this value for [tex]b[/tex] into the first equation, we now have [tex]18=a(3/2)^2=\frac{9a}{4}.[/tex] Solving gives [tex]a=8,[/tex] and our desired exponential equation is [tex]\boxed{y=8\left(\frac{3}{2}\right)^x}.[/tex]
Which one of these lines is the equation
y = -½x + 2?
Line A - blue line
Line B - red line
Line C - black line
Line D - gold line
Answer:
Line B - red line
Step-by-step explanation:
2. Evaluate the logarithm. (
log,1024
Answer:
exact form: log(1024)
decimal form : 3.01029995
Step-by-step explanation:
What values of x make the equation 2 + 9x - 22 = 0 true? Check all that apply.
-2
0
2
11
Answer:
x = 20/9
Step-by-step explanation:
2 + 9x - 22 = 0
Combine like terms
9x - 20 =0
Add 20 to each side
9x-20 +20 = 20
9x = 20
divide each side by 9
9x/9 = 20/9
x = 20/9
How do I find how many times a line intersects?
Answer:
you should count how many time two or more line touches each other
Answer:
If you want to know where a line intercepts the y axis then you make substitute x for 0 and solve for y. If you want to know the intercepts for the x axis, then substitute y for 0 and solve for x.
Step-by-step explanation:
formulate the quadratic function that contains the points (-2,1),(0,1)and (1,4)
Answer:
y = x^2 +2x +1
Step-by-step explanation:
Let's see how this works.
Two of the given points have the same y-value, so the axis of symmetry is located halfway between. If we translate the desired curve down 1 unit, those symmetrical values become zeros, and our function will look like ...
f(x) = ax(x +2)
We want this to go through the third point, also translated down by 1 unit, so we have ...
3 = a(1)(1+2) = 3a
That is, a=1, so f(x) = x(x+2) and translating that up 1 unit gives our desired function:
y = x(x+2) +1
y = x^2 +2x +1
_____
Using the quadratic regression function of a graphing calculator gives the same result.
_____
Comment on the solution approach
For arbitrary points, one would generally substitute them into the formula for the function you want:
y = ax^2 +bx +c
to get three equations in the parameters a, b, and c. These equations would be solved to find the desired coefficients. As noted elsewhere, one of the given points for this problem is the y-intercept (0, 1), so right away we know c = 1. ("c" is the y-intercept.)
That leaves two remaining equations in two unknowns (using the other two points).
Using the point (-2, 1), the equation is ...
1 = a(-2)^2 +b(-2) +1 ⇒ 4a - 2b = 0 ⇒ 2a -b = 0
Using the point (1, 4), the equation is ...
4 = a(1^2) +b(1) +1 ⇒ a +b = 3
Adding these gives 3a = 3, or a=1. Then substitution gives b=2, so the final equation is ...
y = x^2 +2x +1
Determine whether the equation is an identity or not an identity.
The function g(x) = x3 has the point (-3, -27) on its graph. The function g(x) is even or odd
Answer:
The function g(x) is odd.
Step-by-step explanation:
Even and odd functions:
If for every value of x, f(x) = f(-x), the function is even.
If for every value of x, f(x) = -f(x), the function is odd.
If those statements are false, the function is neither even nor odd.
In this question:
[tex]g(x) = x^{3}[/tex]
[tex]g(-x) = (-x)^{3} = -x^{3} = -g(x)[/tex]
Since g(x) = -g(-x), the function g(x) is odd.
MATHEMATICS
please answer it i am waiting
choose the correct option :
1: set A = { 1,5,6,7 } and set B = { 0,1,7,15 } . what is the A U B ?
a) A U B = { 0,1,5,6,7,15 }
b) A U B = {0,1,1,5,6,7,15}
c) A U B = { 1,5,6,7,15}
d) A U B = { 1, 7 }
2: which equation shows the identity property of multiplication ?
a) a+a+a+= 3× a
b) ( a + b ) + 4 = a + ( 4 + b )
c) a ( b + c ) = ab + ac
d) a×1 = a
3: which is an example of associative property of addition ?
a) 7+ 0 = 7
b) (3+9) + 8 = 3 + ( 9+ 8)
c) 5 + ( -5 ) = 0
d) 4+ 3 = 3 +4
4: which property of addition is used in the following ?
( 9+8 ) + 5 = 9 + ( 8+ 5 )
a) associative property
b) closure property
c) distributive property
d) commutative property
5: which property is used in the following expression ?
( 2 × 6 ) × 4 = 6 × ( 4 × 2 )
a) distributive property of multiplication
b) commutative property of addition
c) associative property of addition
d) associative property of multiplication
6: which property is used in the following ?
2×( 4+3 ) = 2 x 4 + 2 × 3
a) commutative property
b) distributive property
c) associative property
d) none of the above
7: which is an example of identity property of addition ?
a) (4+6) + 2 = 4 + ( 6 + 2 )
b) 9+ 0 = 9
c) 8× 1 = 8
d) 7+ 4 =4+ 7
8: which of the following does NOT show the commutative property of addition ?
a) ab = ba
b) 3x + 4y = 4y + 3x
c) a+ b =b+ a
d) 8+ x = x + 8
9: which operation will not change the value of any nonzero number ?
a) dividing by zero
b) adding one
c) multiplying by zero
d) multiplying by one
10: which property of addition does 2 + 0= 2 illustrate ?
a) commutative property
b) zero property
c) distributive property
d) identity property
please , i am in a hurry
Answer:
1 .i think it is d
Step-by-step explanation:
Answer:
Step-by-step explanation:
Choose the correct option
The ratio of boys to girls in a class is 4:5
a) What fraction of the class are boys?
b) What fraction of the class are girls?
Answer:
Boys 4/9 ; 5/9 Girls
Step-by-step explanation
Boys 4:5 Girls
Total pupil = 9
The fraction of boys in the class is 4/9
The fraction of girls in the class is 5/9
James has a desk job and would like to become more fit, so he purchases a tread walker and a standing desk which will allow him to walk at a slow pace as he works. However, he is concerned that standing and walking while working may cause his productivity to decline. After working this way for 6 months he takes a simple random sample of 15 days. He records how long he walked that day (in hours) as recorded by his fitness watch as well as his billable hours for that day as recorded by a work app on his computer. Assuming that all conditions for inference are met, which of the following is a 95 percent confidence interval for the average change in the number of billable hours for each increase of 1 hour spent walking?
Answer:
answer is
[tex]-0.245 \pm2.160(0.205)[/tex]
Step-by-step explanation:
After working this way for 6 months he takes a simple random sample of 15 days. He records how long he walked that day (in hours) as recorded by his fitness watch as well as his billable hours for that day as recorded by a work app on his computer.
Slope is -0.245
Sample size n = 15
Standard error is 0.205
Confidence level 95
Sognificance level is (100 - 95)% = 0.05
Degree of freedom is n -2 = 15 -2 = 13
Critical Value =2.16 = [using excel = TINV (0.05, 13)]
Marginal Error = Critical Value * standard error
= 2.16 * 0.205
= 0.4428
[tex]-0.245 \pm2.160(0.205)[/tex]
Answer:
The correct answer is C. [-0.245±2.160*0.205]
Step-by-step explanation:
Hello!
To analyze the if walking while working (independent variable X) affects his working productivity (dependent variable Y) James took a random sample of 15 days (from a 6 month period in which he worked and trained at home) and recorded how long he walked and his billable hours for that day.
Using this information he estimated the linear regression between the working productivity and the time spent training.
^Y= 7.785 -0.245X
The interest is to estimate the change in the average number of billable hours every time he increases the time spent walking in 1 hour.
To estimate the range of values the average billable hours may take each time the training time increases sone hour, you have to calculate a confidence interval for the population slope of the regression. The statistic is a t-test:
[tex]t= \frac{b-\beta}{Sb} ~~t_{n-1}[/tex]
[b±[tex]t_{n-2;1-\alpha /2}[/tex]*Sb]
Using a 95% confidence level the value of t is [tex]t_{n-2;1-\alpha /2}= t_{13; 0.975}= 2.160[/tex]
b= -0.245
Sb= 0.205
[-0.245±2.160*0.205]
[-0.68780.1978]
Using a 95% confidence level you'd expect the interval [-0.68780.1978] to contain the value of the average billable hours when the time spent walking increases in 1 hour.
I hope this helps!
With individual lines at the checkouts, a store manager finds that the standard deviation for the waiting times on Monday mornings is 5.7 minutes. After switching to a single waiting line, he finds that for a random sample of A customers, the waiting times have a standard deviation of B minutes.
a) Use a 0.025 significance level to test the claim that with a single line, waiting times vary less than with individual lines.
Answer:
Step-by-step explanation:
Complete Question
With individual lines at the checkouts, a store manager finds that the standard deviation for the waiting times on Monday mornings is 5.7 minutes. After switching to a single waiting line, he finds that for a random sample of A customers, the waiting times have a standard deviation of B minutes.
a) Use a 0.025 significance level to test the claim that with a single line, waiting times vary less than with individual lines.
If we let italic sigma be the population standard deviation of waiting times for a single line, what are the hypotheses for this test?
Use the traditional method to test the claim. Assume the population of waiting times is normally distributed.
Calculate the test statistic for this test, italic chi to the power of 2 . Round your answer to three digits to the right of the decimal point.
What is the critical value for this left-tailed test? Round your answer to three digits to the right of the decimal point.
Based on the critical value and test statistic, should the null hypothesis be rejected?
Since the claim is the alternative hypothesis, what final conclusion can you draw from this test?
1) Null and Alternative hypothesis
Null hypothesis: H₀ = 5.7
and Alternative hypothesis: H₁ < 5.7
2) Test Statistic
[tex]x^2=\frac{(n-1)s^2}{\sigma^2}[/tex]
where s is the standard deviation = 4.9
n sample size = 29
[tex]=\frac{28 \times 4.9^2}{5.7^2} \\\\=20.692[/tex]
complete solution is detailed in the image
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
C
Step-by-step explanation:
y = -f(x) is the reflection about the x-axis of the graph y = f(x).
The set of all numbers greater than 2
A rocket is traveling at 283 miles per minute. How far will the rocket travel in 15 minutes?
Answer:
4,245 miles
Step-by-step explanation:
Hello there,
the reason the answer is 4245 is because its says per minute therefore each minute of the rocket is going 283 miles and when it ask how miles did it travel in 15 minutes u just multiply 283 and 15 which gets you the answer 4245 miles
Hope dis helps.
Step-by-step explanation:
Step 1: Multiply them together
Miles Per Minute * Minutes = Miles Traveled
283 * 15 = Miles Traveled
4245 = Miles Traveled
Answer: The rocket will travel 4,245 miles
(-6/5)x- 4 = -46
•23
•35
•-23
•-35
help help help
Answer:
35
Step-by-step explanation:
Equation:
(-6/5)x - 4 = -46
Add 4 on both sides:
(-6/5)x - 4 = -46
+4 +4
(-6/5)x = -42
Multiply both sides by the reciprocal, or opposite:
-5/6[(-6/5)x] = (-42)-5/6
x = 35
Therefore, x is equal to 35.
Answer:
x = 35
Step-by-step explanation:
Step 1 : 6/5 Simplify
Step 2 :
Rewriting the whole as an Equivalent Fraction
Adding fractions that have a common denominator
Step 3
Rewriting the whole as an Equivalent Fraction
Answer: x = 35
Hope this helps.
I think of a number, double it, and subtract two. I get nine. using the statement above, from an equation. Use the letter "X" for the unknown number.
solve the equation as well.
Answer:
5.5
Step-by-step explanation:
your number is X
doubling it=2X
2X-2=9
using like terms...
2X=9+2
2X=11
dividing through by 2
2X/2=11/2
X=5.5
Answer: The no. thought is 5.5
Step-by-step explanation: Let the no. thought be ' x '
2x - 2 = 9
2x = 9+2
2x = 11
x = 11/2 = 5.5
Here is a garden and a pond.
The garden and the pond are rectangular..
14 m
garden
9 m
pond
2.4 m
3.8 m
v
grass
Kayla is covering the garden with seed.
She will not put any grass seed in the pond.
One box off grass seed covers 15m of the garden.
Work out the mumber of boxes off grass seed Kaydla meeds to cover the garden.
Answer:
Kayla needs 8 boxes of grass seed to cover the whole garden without including the pond.Step-by-step explanation:
You can observe a representation of this problem in the image attached.
Notice that the grass seed is gonna be put only in the green zone, out of the pond. So, we need to find each area and subtract them.
[tex]A_{garden}= 14 \times 9 =126 \ m^{2} \\A_{pond}=2.4 \times 3.8 = 9.12 \ m^{2}[/tex]
The difference is
[tex]A_{seed}=126 - 9.12 = 116.88 \ m^{2}[/tex]
Now, according to the problem, one box of grass seed covers 15 meters of the garden, let's divide this number with the seed area.
[tex]n=\frac{116.88}{15} \approx 7.792[/tex]
Therefore, Kayla needs 8 boxes of grass seed to cover the whole garden without including the pond.
Layla ran the 200 m race three times. Her fastest time was 26.3 seconds. Her slowest time was 30.3 seconds. If Layla’s average time was it 28.0 seconds, what was her time for the third race? ANSWER QUICK!!!
Average for 3 races to be 28.0, the total times need to equal 28 x 3 = 84 seconds.
84 - 26.3 - 30.3 = 27.4
Her third time was 27.4 seconds.
Answer:
27.4 seconds
Step-by-step explanation:
If |x| = 7 and |y| = 13, then which of the following could be equal to x + y?
Answer:
20, -20, -6, 6
Step-by-step explanation:
x and y could be negative or positive.
Answer:
Answer shown from explanation
Step-by-step explanation:
|x| means modulus of x such that positive or negative value of x evaluates to a positive value.
|x| = 7 is the same as x = -7 and x = 7
Similarly,
|y| = 13 is the same as y = -13 and y= 13;
Hence the possible values are;
7+13= 20
7-13= -6
-7-13= -20
-7 + 13 = 6
marking brainliest right away!!!!
Answer:
(-3,-1)
Step-by-step explanation:
When you graph it on a graphing paper, you can see that the graph touches it but barely
What is (GCD) of 24, 48 and 60?
Answer:
12
Step-by-step explanation:
-9x+7y=28 find the y intercept
In slope-intercept form, we have these values (y = mx + b):
m = slope
b = y-intercept
Change the equation from standard form to slope-intercept form.
-9x + 7y = 28
-9x + 9x + 7y = 28 + 9x
7y = 28 + 9x
7y/7 = 28/7 + 9x/7
y = 4 + 9/7x
y = 9/7x + 4
Therefore, the y-intercept is 4.
Best of Luck!
Please solve this ASAP I have been stuck on this for an hour or so.
Please???
Answer:
27 m² (blue fabric)
9 m² (brown fabric)
Step-by-step explanation:
Area of a triangle = 1/2*base *height
Area of 4 triangles = 4* 1/2*3*4.5 = 27 m² (blue fabric)
Area of a square = side² = 3² = 9 m² (brown fabric)
What’s the correct answer for this question?
Answer:
D = (x+6)² = 13
Step-by-step explanation:
In the attached file
3. What are the first four terms of the sequence represented by the expression n(n-1) - 4?
-2, 2, 6, 10
-3,0,3,6
-4,-2, 2, 8
-5,-4,-2,6
Answer:
-4, -2, 2, 8
Step-by-step explanation:
The first four terms will be found by evaluating the expression for values of n that are 1, 2, 3, 4. Evaluating for n=1 is sufficient to determine the correct answer choice:
n(n -1) -4
1(1 -1) -4 = -4 . . . . matches the third choice
PLEASE HELP
PLEASE HELP
Sara and Sam are each working on a science project in which they need to research the individual masses of the nine planets (including the dwarf planet Pluto as the ninth planet). Sara completes her data for the planets' masses in kilograms while Sam's data is in milligrams.
Sara:
Approximate how many times greater Saturn's mass is than Mercury's.
A: 2,000,000
B: 200,000
C: 20,000
D: 2,000
Answer:
D About 2000 times
Step-by-step explanation:
About 2000 times
Saturn = 5.683 × 10^32
Mercury = 3.302 × 10^29
Unit of measurement is irrelevant in ratios.