Answer:
y = -1/4x + 3
Step-by-step explanation:
Step 1: Write out known variables
m = -1/4
y = -1/4x + b
Step 2: Find b
2 = -1/4(4) + b
2 = -1 + b
b = 3
Step 3: Rewrite equation
y = -1/4x + 3
ASAP The rectangle below has been enlarged by a scale of 3.5. A rectangle with a length of 8 and width of 6. [Not drawn to scale] What is the area of the enlarged rectangle?
Answer:
588 units^2
Step-by-step explanation:
To find the area of the enlarged rectangle, first find the length and width of the enlarged rectangle.
This is 3.5 multiplied by their original measures:
Length = 3.5 x 8 = 28
Width = 3.5 x 6 = 21
Now, area =. LxW = 588 units^2
Hope this helps
Answer:
588 units squared
Step-by-step explanation:
We have a rectangle that has dimensions 8 units by 6 units.
From the problem, we know that this rectangle has been enlarged by a scale of 3.5. Essentially, to obtain the dimensions of the new, bigger rectangle, we multiply the current length (8 units) by 3.5 and the current width (6 units) by 3.5:
new length = 8 * 3.5 = 28 units
new width = 6 * 3.5 = 21 units
Given this, we can now calculate the area.
The area of a rectangle is denoted by A = lw, where l is the length and w is the width.
Here, the length is l = 28 and the width is w = 21. Plug these in:
A = lw
A = 28 * 21 = 588
The answer is thus 588 units squared.
~ an aesthetics lover
square root of -16 plus the square root of -25 plus 5
This answers are not possible because you can’t take the square root of a negative number. So, there is not answer for this question.
If the numbers were positive:
√16 = 4
√25 = 5
4 + (5 + 5)
4 + 10
14
Best of Luck!
Answer: 9i + 5
Step-by-step explanation: √-16 =4i and √-25 = 5i +5
The way to handle the square root of a negative number is to multiply the "real" root times √-1 which is i , an imaginary number
Complete the solution to y = cos-1(1).
a) y = 2 pi k
b) y= pi k
c) y = pi ± pi k
Answer:
a) y = 2 pi kStep-by-step explanation:
Given the solution to the equation y to be cos⁻¹(1)
y = cos⁻¹(1)
y =0°
In trigonometry identity, the general solution for cosine function is expressed as θ = 2kπ ± n, where n is any integer.
Substituting the solution gotten to the equation above into the general formula θ = 2kπ ± n, will give;
y = 2kπ ± n
since we have just one solution, we will find the value of y at n = 0
y = 2kπ ± 0
y = 2kπ
Please help me.. very appreciated if you do
1 Answer:
D
2 Answer:
B
Step-by-step explanation:
-x ≤ -3all we should do here is multiply both sides by -1 and switch the sign ≤ since we multiplied by a negative number
-x ≤ -3 x ≥ 3x is equal or greater than 3 so 3 is included
3 will be represented by a clored dot
so the graph is D
-6- x ≤ -3again multiply by -1 to get rid of the - signs and switch ≤ by ≥ since it's a negative number
-6 -x ≤ -3 6+x ≥ 3 substract 6 from both sides x+6-6 ≥ 3-6 x ≥ -3x is equal or greater than -3 so -3 is included
the graph is b since there is a dot in -3
Which line has a slope of 0
A.) 2y+8x=0
B.) x=0
C.) y=-1
D.) y=x-1
Answer:
The answer is option C.
y = - 1
Hope this helps you
Please answer now only have two minutes left do it fast
Answer:
work is shown and pictured
What is the length h of the right triangle, rounded to the nearest tenth?
Answer:
8
Step-by-step explanation:
sin35=opp/hyp
opp=sin35(14)=8.03 close to 8
The length h for the given triangle is h units.
What are trigonometric ratios?The trigonometric ratios are defined for a right angled triangle.
The example of these ratios are sin, cos, tan, cosec, sec and cot.
The trigonometric ratios are useful in determining the heights and distances of the large objects.
The given triangle is a right triangle.
Apply trigonometric ratio to find the length h of the triangle as follows,
Sin 35° = h/14
⇒ 0.573 = h/14
⇒ h = 8.02
It can be approximated as 8.
Hence, the required length is obtained as 8 units.
To know more about trigonometric ratio click on,
https://brainly.com/question/25122825
#SPJ2
Which best describes the relationship between the line that passes through the points (9, –1) and (11, 3) and the line that passes through the points (–6, –4) and (–4, 0)?
Answer:
They are parallel
Step-by-step explanation:
You can tell that they are parallel because if you find the slope of it, you can see that they both have a slope of 2.
Hope this is the answer you were looking for. :)
Calculate the measure of arc AG if a=20 and b=10
Answer:
90°
Step-by-step explanation:
∆GFD is an isosceles right triangle, so angle FDG is 45°. Segment DF bisects angle EDG, so that angle is 90°.
Arc AG is the other half of the semicircle AGE that includes 90° arc GE.
So, arc AG is 90°.
__
Comment on the problem
"a" and "b" are irrelevant to arc AG. They come into play for arc CE.
What is the cost of an $8,000 car including 5½% tax?
Answer:
$8,440
Step-by-step explanation:
5.5% of 8,00 = 440
8,000 + 440 = 8,440
Answer:
The answer is....................................... $8440
Step-by-step explanation:
What is the missing number from 18,27,36,?, 54
Answer:
45
Step-by-step explanation:
18 + 9 = 27
27 + 9 = 36
36 + 9 = 45
Thus,
45 is the answer.
Hope this helps :)
Answer:
45
Step-by-step explanation: 18, 27, 36, 54 are all the multiples of 9..
so..
9*2=18
9*3=27
9*4=36
9*5=45and, 9*6=54therefore, the missing number is 45.HOPE IT HELPS:)
***BRAINLIEST ANSWER**
Line segment TS is tangent to circle O at point N. If the measure of AngleQNT is 65°, what is the measure of Arc QPN?
65
74
130
148
Answer:
130°
Step-by-step explanation:
Arc QPN is formed by angle QNT. Angle QNT is formed by an intersecting tangent and chord meaning arc QPN is two times the measure of angle QNT.
65° · 2 = 130°
Solve the equation 2x^2+8x-1=0 by completing the square. Give your answer to 2 decimal places 4 marks
Answer:
Step-by-step explanation:
The slope of the line below is 2. Use the coordinates of the labeled point to
find a point slope equation of the line.
10
(1.9)
O A. y-9--2(x - 1)
B. y + 9 --2(x+1)
C. - 9. 2(x - 1)
D. y + 9 + 2(x + 1)
Answer:
A. y -9 = 2(x -1)
Step-by-step explanation:
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
You are given m=2 and (h, k) = (1, 9). Putting these values into the form gives ...
y -9 = 2(x -1)
Okay, what is the value of x: 2x + 3x + 43 = 565
Answer:
x = 522/5 or x = 104.4
Step-by-step explanation:
2x + 3x + 43 = 565
Combine like terms.
5x + 43 = 565
Subtract 43 on both sides.
5x + 43 - 43 = 565 - 43
5x = 522
Divide both sides by 5.
(5x)/5 = 522/5
x = 522/5
Answer:
x = 104.4
Step-by-step explanation:
2x + 3x + 43 = 565
5x + 43 = 565
5x + 43 - 43 = 565 - 43
5x = 522
5x/5 = 522/5
x = 104.4
I need help pls A certain university in the United States has a student enrollment of 19,100. Mr. Hill knows the percentage of students that are male and the percentage of students that are female. Suppose a student reaches in the bag and randomly selects nine red chips and eleven yellow chips. Based on this sample, what is a good estimate for the number of enrolled university students that are male?
Answer:
About 8595 students
Step-by-step explanation:
If approximately 9/20 of the students are male, multiplying this by the total number of students enrolled will give a good approximation of the total number of enrolled males. 9/20 * 19100=8595. Hope this helps!
Answer:
8595
Step-by-step explanation:
9/11 is the ratio of male to female
9/20 of students are male and 11/20 are female
If total number is 19100,
then male= 19100*9/20= 8595
I need help ASAP!! If you know what you’re doing go ahead and answer but if you don’t, don’t even bother thanks
Answer:
133.97 cm³
Step-by-step explanation:
The volume of a cone is given by:
[tex]V = \frac13 \pi r^2h[/tex]
r is half the diameter, so 4 cm
h is 8 cm
So:
V= 1/3 * 3.14 * 16 * 8 ≈ 133.97 cm³
Determine whether the formula describes y as a function of x. Explain your reasoning. (2 points) y = -x
Answer: Yes, it describes y as a function of x.
Step-by-step explanation:
A function describes y as a function of x if we have:
y = f(x)
where f(x) can be any function.
in this particular case, we have:
y = -x
so we can get this like f(x) = -x, that as we know this is a function of x.
then the relation y = -x is a function of x.
Another way to see it is that this actually is written as:
y = -1*x
the variable that is not being affected is the one being described, (in this case y) and the other variable is the variable of the function (in this case x.)
solve the inequality 2(4+2x)≥5x+5
Answer: 3 [tex]\geq[/tex] x
Step-by-step explanation:
[tex]2(4+2x)\geq 5x+5\\\\Distribute\\\\8+4x\geq 5x+5\\\\Subtract\\\\8\geq x+5\\\\Subtract\\\\3\geq x[/tex]
Hope it helps <3
Answer:
x≤3
Step-by-step explanation:
2(4+2x)≥5x+5
Distribute.
2*4+2*2x≥5x+5
8+4x≥5x+5
Subtract 8 from both sides.
8-8+4x≥5x+5-8
4x≥5x-3
Subtract 5x from both sides.
4x-5x≥5x-5x-3
-x≥-3
Divide both sides by -1.
Note that when you divide an inequality by a negative number, you must flip the sign.
x≤3
Patty buys a new car and gets it appraised every few years. After owning the car for 3 years, it’s value is $15,000. After owning the car for 5 years, it’s value is $9,000. What is the constant of proportionality in this inverse variation?
Answer: $3,000 per year
Step-by-step explanation: 15,000 divided by 9,000 is 6,000, 5 minus 3 is 2 6,000 divided by 2 equals 3,000.
A drawer contains three red marbles, four green marbles, and five blue marbles. One marble is taken from the drawer and then replaced. Another marble is taken from the drawer. The problem models: a dependent event. independent events.
Answer:
independent events
Step-by-step explanation:
dependent is when the previous event affects the outcome of the next event.
Ex: When I draw a card without replacement at first I will have 52 cards. Once I draw the card, I will have only 51 cards to choose from.
Independent event is when the outcome is not related.
Example like the problem given to you
Work out the mean for the data set below: 1, 2, 1, 2, 2, 5 Give your answer as a fraction.
Answer:
13/6 or 2 and 1/6
Step-by-step explanation:
The mean (or average) is the sum of all elements divided by the amount of elements. In this case that would be (1 + 2 + 1 + 2 + 2 + 5) / 6 = 13 / 6 or 2 1/6
Please answer this question now in two minutes
Answer:
y = 2x +10
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
__
Comparing this to the given equation, we see that line s has a slope of -1/2. The perpendicular line t will have a slope that is the negative reciprocal of this:
m = -1/(-1/2) = 2
Using the above point-slope form equation, we can write the equation of line t as ...
y -4 = 2(x -(-3))
y = 2x +6 +4 . . . . add 4, simplify
y = 2x +10 . . . . equation of line t
Which value of x from the set {4, 5, 6, 7), makes this equation true?
4(8 - x) = 8
OA.
4
B.
5
OC. 6
OD.
7
Hey there! :)
Answer:
C. x = 6.
Step-by-step explanation:
Given:
4(8 - x) = 8
Solve for x. Distribute:
32 - 4x = 8
Subtract 32 from both sides:
-4x = -24
Divide both sides by -4:
-4x/(-4) = -24/(-4)
x = 6.
Anyone know the answer to this one ?
Answer: B) y = 2 · 3ˣ
Step-by-step explanation:
We can see that (2, 18) is a point on the graph.
Plug it into the equations to see which one make a true statement.
A) y = 1 · 3ˣ
18 = 1 · 3²
18 = 1 · 9
18 ≠ 9
B) y = 2 · 3ˣ
18 = 2 · 3²
18 = 2 · 9
18 = 18 This works!
C) y = 3 · 2ˣ
18 = 3 · 2²
18 = 3 · 4
18 ≠ 12
D) y = 4 · 3ˣ
18 = 4 · 3²
18 = 4 · 9
18 ≠ 36
If y varies inversely as x, and y = 10 when x = 20,
find x when y = 16.
Answer:
12.5
Step-by-step explanation:
y varies inversely as x.
y = k/x
10 = k/20
200 = k
The constant proportion k is 200.
16 = 200/x
Cross multiply.
200 = 16x
200/16 = x
x = 12.5
Which of the following expressions is equivalent to -10? Which of the following expressions is equivalent to -10?
-7 + 3
-3 - 7
3 - 7
7 - 3
Answer:
-3-7
Step-by-step explanation:
-3-7=10
Answer:
-3 - 7.
Step-by-step explanation:
-3 - 7 = -10.
the lowest number is 11 the range is 13 and the median is 17 what are the 3 numbers
Answer:
11, 17, and 28.
Step-by-step explanation:
[tex]x, y, z\\[/tex]
Lowest number is [tex]x[/tex]
Median is [tex]y[/tex]
Highest number is [tex]z[/tex]
[tex]x=11\\y=17\\\\z-x=17\\z-11=17\\z-11+11=17+11\\z=28\\\\x=11\\y=17\\z=28\\\\11, 17, 28[/tex]
The three numbers are 11 , 17 and 24
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first number be = a
Let the second number be = b
Let the third number be = c
And , the lowest number is 11
So , the value of a = 11
The median is 17
So , the value of the middle number b = 17
Now , the range of the three numbers = 13
So , the maximum value - minimum value = 13
Substituting the values in the equation for range , we get
c - a = 13
c - 11 = 13
Adding 11 on both sides , we get
c = 11 + 13
c = 24
Therefore , the value of a = 11 , b = 17 and c = 24
Hence , The three numbers are 11 , 17 and 24
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
The tables represent the functions f(x) and g(x). A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15. Which input value produces the same output value for the two functions? x = –12 x = –9 x = –6 x = –3The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal. What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years? $60 $80 $90 $100
Answer:
(1) For x = –12, g (x) = -9
For x = –9, g (x) = -3
For x = –6, g (x) = 3
For x = –3, g (x) = 9
(2) The principal amount of money is $80.
Step-by-step explanation:
(1)
The expression of g (x) is,
[tex]g(x)=2x+15[/tex]
The complete table is:
x g (x)
-15 [tex]2(-15)+15=-15[/tex]
-12 [tex]2(-12)+15=-9[/tex]
-9 [tex]2(-9)+15=-3[/tex]
-6 [tex]2(-6)+15=3[/tex]
-3 [tex]2(-3)+15=9[/tex]
0 [tex]2(0)+15=15[/tex]
(2)
The formula for simple interest is:
[tex]I=P\times r\times t[/tex]
Given:
I = $40
r = 10%
t = 5 years.
Compute the value of P as follows:
[tex]I=P\times r\times t[/tex]
[tex]P=\frac{I}{r\times t}[/tex]
[tex]=\frac{40}{0.10\times 5}\\\\=80[/tex]
Thus, the principal amount of money is $80.
Answer:
80
Step-by-step explanation:
The equation 8c = $40.80 represents the cost of 8 t-shirts, with c representing the cost of one t-shirt. How much do 5 t-shirts cost?
Answer:
To find the price of one t-shirt, we can do 40.80 / 8 = $5.10 per shirt. Therefore, the price of 5 shirts is 5.10 * 5 = $25.50.