Answer: x= -1
Step-by-step explanation:
In mathematics when you have bases that are the same while multiplying you add the powers. In this case we do not have the same bases so we are going to make it look like 8 is 2. So we sort of simplify it. So we get 8 and put into like 2^4. We do not eliminate the power x that was already there though. So we will have 2^4x × 2^4-x. So like I said earlier we add the powers. Soo we will have
4x +4-x4x-x=13x+4-4 =1-43x/3 = -3/3x= -1Hope that helped!1. A department store kept records of how many fans were sold each day and the high temperature for that day. The results are shown in the scatterplot. Answer the questions about the scatterplot.
a. What is the explanatory variable (independent variable)? (1 point)
b. What is the response variable (dependent variable)? (1 point)
c. Circle the best range for the correlation coefficient. (1 point)
(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)
d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)
Answer:
a. What is the explanatory variable (independent variable)? (1 point)
Number of fans sold.
b. What is the response variable (dependent variable)? (1 point)
Outside temperature.
c. Circle the best range for the correlation coefficient. (1 point)
(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)
d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)
Yes because a rise in temperature causes fan sales to go up because people buy fans when it’s hot to cool off.
Step-by-step explanation:
I got it right on AP3X. Hope this helps!
Joe has four notes in his wallet. The total value of the notes is $75. Which type of note is not in Joe's wallet?
Answer:
$ 20
Step-by-step explanation:
Given that,
No. of notes Joe has = 4
The total value of the notes = $ 75
From the given notes, 4 notes that can make the sum of 75 would be
$ 50 note + $ 10 + $ 10 note + $ 5
= 50 * 1 + 10 * 1 + 10 * 1 + 5 * 1
= $ 75
Thus, the note that would not be included in the total value would $20 note as if we add it either the sum would be greater or lesser with four notes in combination.
A recipe requires 500 mL of milk. You will make the recipe once a month for the next 4 months. You do not use milk other than for cooking. Which container of milk should you buy? (1L=1000 mL) *
Answer:
2L
Step-by-step explanation:
Each recipe = 500 mL of milk
Number of times you make recipe per month = 1
Number of months you make recipe = 4
Total milk used for 4 months = 500 mL * 1 * 4
= 2000 mL
Recall,
1L = 1000 mL
Therefore,
2000 mL = 2L
You should buy 2L container of milk
For this exponential function,
what is the output value (y),
when the input value (x) is 3?
y = 10.5x.
(3, [?])
Replace x with 3 and solve:
10 x 5^3
Simplify:
10 x 125 = 1250
Answer: y = 1250
(3 , 1250)
Step-by-step explanation:I got it right on my test.
Need help quick g on cdth
Answer:
B. 16
Step-by-step explanation:
You can find it by subtraction.
for example:
70-54=16
54-38=16
22-6=16
and so on
2/5 divided by 8/5 .......
Answer:
1/4
Step-by-step explanation:
2/5 divided by 8/5 is the same as 2/5 * 5/8. we cross out the same 5's to get 2/8. We simplify that to 1/4.
1/4 is our answer.
You have two squares. The larger square has a side of 3 more than the smaller square. If the combined area of the two squares is 89 cm squared. What is the length of the smaller square.
A. 3
B. 5
C. 8
D. 10
Write in standard form using integers. (ASAP help)
Is it a, b, c or d?
Answer: D
Step-by-step explanation:
To get rid of denominator in x, multiply everything by 3
3y=2x+21
Move the variables to the left
-2x+3y=21
At the city museum, child admission is and adult admission is . On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of . How many child tickets were sold that day
Complete question :
At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?
Answer:
33 children ticket
Step-by-step explanation:
Let :
Number of Child admission = x
Number of Adult admission = y
On Wednesday ;
y = 3x
9.80y + 6.30x = 1178.10
9.80(3x) + 6.30x = 1178.10
29.40x + 6.30x = 1178.10
35.70x = 1178.10
x = 1178.10 / 35.70
x = 33
What's 672 divided by 32
Given the new regression model, which of the following statements is true? As the number of retail stands increases by one, the daily revenue increases by $2,298.36 on average. As the number of retail stands increases by one, the daily revenue increases by $2,298.36 on average, provided that the number of female visitors and food stands remains constant. As the number of female visitors increases by ten, the daily revenue increases by $29.34 on average. As the number of female visitors increases by ten, the daily revenue increases by $29.34 on average, provided that the number of retail stands and food stands remains constant.
Answer:
As the number of retail stands increase by one, the daily revenue increases by $2,298.36 on average, provided that the number of female visitors and food stands remains constant.
Step-by-step explanation:
This is gross relationship of regression model, multiple regression model describes net relationship. The net effect on number of retail stands on daily revenue. The average increase in daily revenue as the number of retail stands increases by one while other variables remains constant.
Question 13 of 46
What is the remainder for the synthetic division problem below?
Answer:
Step-by-step explanation:
Let's do this out as best as we can here. Here's the problem:
2 | 3 1 2 -7
___________
The rule is to bring down the first term, whatever it is (ours is a 3), and multiply it by the number "outside" which is a 2. Put that product up under the number next to the 3:
2 | 3 1 2 -7
6
3
Then add straight down, and multiply that sum by the 2 outside and put that product under the next number (the 2 "inside" the box):
2 | 3 1 2 =7
6 14
3 7
And do the same thing. Add straight down, multiply the sum by 2 and put the product up under the next number, -7, and add again. The final is shown below:
2 | 3 1 2 -7
6 14 32
3 7 16 25
The last number in the very bottom row, the depressed polynomial row, is the remainder. Ours is a 25. This is the super easy way to divide polynomials, as long as our divisor is a linear (first degree) term.
Instructions: Given the following constraints, find the maximum and minimum values for z.
x + 3y < 0
Constraints: X – Y > 0
3x – 7y < 16
Optimization Equation: 2 = -x + 5y
Maximum Value of z:
Minimum Value of z:
Check
Answer:
[tex]x+3y\leq 0[/tex]
[tex]x-y\geq 0[/tex]
[tex]1) x+3y=0[/tex]
[tex]x-y=0[/tex]
[tex]-----[/tex]
[tex]4y=0[/tex]
[tex]y=0[/tex]
[tex]x=0[/tex]
[tex](0,0)[/tex]
[tex]2)(x+3y=0)3[/tex]
[tex]3x-7y=16[/tex]
[tex]3x+9y=0[/tex]
[tex]3x-7y=16\\------\\16y=-16[/tex]
[tex]y=-1[/tex]
[tex](3,-1)[/tex]
[tex]3)(x-y=0)3[/tex]
[tex]3x-7y=16[/tex]
[tex]3x-3y=16[/tex]
[tex]3x-3y=0[/tex]
[tex]3x-7y=16\\------\\4y=-16[/tex]
[tex]y=-4[/tex]
[tex]x=4[/tex]
[tex](4,-4)[/tex]
[tex]Z=-x+5y[/tex]
[tex](0,0):z=0[/tex]
[tex](3,-1):z=-8[/tex]
[tex](4,-4):z=-24[/tex]
[tex]Maximum \:Value\: of\: z:0[/tex]
[tex]Minimum\: Value\: of\: z:-24[/tex]
OAmalOHopeO
please help have a lot of math to do today
Answer:
115 in.^2
Step-by-step explanation:
The total surface area is the sum of the areas of the square base and the 4 congruent triangular faces.
SA = b^2 + 4 * bh/2
SA = (5 in.)^2 + 4 * (5 in.)(9 in.)/2
SA = 25 in.^2 + 2 * 45 in.^2
SA = 115 in.^2
Answer fast please! I need an answer before 9:00!
Answer:
1536 cm^2 be the correct answ
Answer: Option 2
1536cm²
Lateral Area=32×(24/2)×4
=1536 (cm²)
Answered by Gauthmath must click thanks and mark brainliest
Question 3 of 10
Which of the following is(are) the solution(s) to |15x+2| = 8?
Answer:
x = 6/5 x = -2
Step-by-step explanation:
|5x+2| = 8
There are 2 solutions
5x+2 = 8 and 5x+2 = -8
Subtract 2 from each side
5x+2 -2 = 8-2 and 5x+2-2 = -8-2
5x= 6 5x = -10
Divide by 5
5x/5 = 6/5 5x/5 = -10/5
x = 6/5 x = -2
Answer:
b
Step-by-step explanation:
|5x+2|=8
1) |5×(-2)+2|=8
|-10+2|=8
|-8|=8
8=8
2) |5×6/5+2|=8
|6+2|=8
|8|=8
8=8
The lengths of the sides of a triangle are 3, 3, 312. Can the tangle be a right triangle?
Answer:
Yes it can be right angle triangle
Will Mark Brainlest helpppp
Answer:
R = [tex]\left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right][/tex]
Step-by-step explanation:
P - Q + R = I ( I is the identity matrix )
[tex]\left[\begin{array}{ccc}2&4\\3&5\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}-2&2\\4&1\\\end{array}\right][/tex] + R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex] ( subtract corresponding elements )
[tex]\left[\begin{array}{ccc}2-(-2)&4-2\\3-4&5-1\\\end{array}\right][/tex] + R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right][/tex] + R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]
R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right][/tex]
Diagnostic
Analytics
When completing an online shopping transaction, a typical shopper takes 7 seconds to
select each product and another 9 seconds to complete the check-out process. If it takes 37
seconds to complete a transaction, how many products are being purchased?
products
Submit
Answer:
In 26 seconds to complete a transaction, 2 products are being purchased.
Step-by-step explanation:
1 item = 9 seconds
Time taken in all to check out = 8 seconds
Time taken to shop = 26 seconds
Now as check out process takes 8 seconds, so the
Time left to ACTUALLY SHOP = Total Time - Time Used to check out
= 26 seconds = 8 seconds = 18 seconds
Shopping of 1 item = 8 seconds
Shopping of 2 items = 2 x ( Time taken in 1 item) = 2 x 9 = 18 seconds
So, in 18 seconds, 2 clothing item can be selected.
Hence,in 26 seconds to complete a transaction, 2 products are being purchased.
The point slope form of the equation off the line 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 ?
Whats different for the functions
Nicole Tobin receives a salary of $250
per week plus a commission of 15% of all
sales over $1,500. Find her earning
during a week in which sales totaled
$3,000.
Answer:
Earnings = 475
Step-by-step explanation:
She gets a straight salary of 250
She sold 3000 worth of merchandise 3000
She receives a commission on anything over 1500 Subtract
She gets a commission on 1500
15% of 1500 = 15/100 * 1500 225
Earnings 475
a student walks 50m on a bearing 0.25 degrees and then 200m due east how far is she from her starting point.
Answer:
Step-by-step explanation:
I'm going to use Physics here for this concept of vectors. Here are some stipulations I have set for the problem (aka rules I set and then followed throughout the problem):
** I am counting the 50 m as 2 significant digits even though it is only 1, and I am counting 200 as 3 significant digits even though it is only 1. 1 sig dig doesn't really give us enough accuracy, in my opinion.
** A bearing of .25 degrees is measured from the North and goes clockwise; that means that measured from the x axis, the angle is 89.75 degrees. This is the angle that is used in place of the bearing of .25 degrees.
** Due east has an angle measure of 0 degrees
Now let's begin.
We need to find the x and y components of both of these vectors. I am going to call the first vector A and the second B, while the resultant vector will be C. Starting with the x components of A and B:
[tex]A_x=50cos(89.75)[/tex] so
[tex]A_x=.22[/tex]
[tex]B_x=200cos(0)[/tex] so
[tex]B_x=200[/tex] and we need to add those results together. Due to the rules for adding significant digits properly, the answer is
[tex]C_x=200[/tex] (and remember I am counting that as 3 sig fig's even though it's only 1).
Now for the y components:
[tex]A_y=50sin(89.75)[/tex] so
[tex]A_y=50[/tex] (which I'm counting as 2 sig fig's)
[tex]B_y=200sin(0)[/tex] so
[tex]B_y=0[/tex] and we need to add those results together.
[tex]C_y=50[/tex]
Now for the resultant magnitude:
[tex]C_{mag}=\sqrt{(200)^2+(50)^2}[/tex] and that gives us a final magnitude of
[tex]C_{mag}=206[/tex] m
Now for the angle:
Since both the x and y components of the resultant vector are in quadrant 1, we don't need to add anything to the angle to get it right, so
[tex]tan^{-1}(\frac{50}{200})=14[/tex]
The girl is 206 meters from her starting point at an angle of 14 degrees
For several weeks, the function f(x) = 3(4)* represented the number of birds
infected with an illness x weeks after the first birds became sick. How did the
number of sick birds change each week?
A. The number quadrupled each week.
B. The number increased by 4 each week.
C. The number increased by a factor of 3 each week.
D. The number increased by 3 each week.
SUBMI
Can someone please help me with this
Answer:
Step-by-step explanation:
Answered by Gauthmath
Find the midpoint of the segment with the following endpoints.
(4, 2) \text{ and } (7, 6)
(4,2) and (7,6)
Answer:
( 5.5 , 4 )
Step-by-step explanation:
Use mid point formula shown in image
first x= (X+X)/2
x=(4+7)/2
x=11/2
x=5.5
y=(Y+Y)/2
y=(2+6)/2
y=8/2
y=4
(5.5,4)
Will give brainliest plz answer quick
Answer:
65
Step-by-step explanation:
Exterior angle = Sum of 2 interior angles
x + 31 = x + x - 34
x + 31 = 2x - 34
x - 2x = - 34 - 31
- x = - 65
x = 65
Step-by-step explanation:
A triangle's angles add up to 180°, and a straight line is 180 degrees, so 180 - x + 31 is the interior angle that isn't labeled.
[tex]x+x-34+180-x-31=180[/tex]
[tex]x=180-115[/tex]
[tex]x=65[/tex]
find the distance of gap d
Answer:
[tex]\displaystyle d \approx 15.8768[/tex]
Step-by-step explanation:
We want to find the distance of d or AB.
From the right triangle with a 35° angle, we know that:
[tex]\displaystyle \tan 35^\circ = \frac{50}{PB}[/tex]
And from the right triangle with a 42° angle, we know that:
[tex]\displaystyle \tan 42^\circ = \frac{50}{PA}[/tex]
AB is PA subtracted from PB. Thus:
[tex]\displaystyle d = AB = PB - PA[/tex]
From the first two equations, solve for PB and PA:
[tex]\displaystyle \frac{1}{\tan 35^\circ } = \frac{PB}{50} \Rightarrow PB = \frac{50}{\tan 35^\circ}[/tex]
And:
[tex]\displaystyle \frac{1}{\tan 42^\circ } = \frac{PA}{50} \Rightarrow PA = \frac{50}{\tan 42^\circ}[/tex]
Therefore:
[tex]\displaystyle d = AB = \frac{50}{\tan 35^\circ} - \frac{50}{\tan 42^\circ}[/tex]
Using a calculator:
[tex]\displaystyle d= AB \approx 15.8768[/tex]
Find the value of 9x + 4y, when x = 4 and y = -3.
Answer:
hope found the answers bye.
Step-by-step explanation:
9x + 4y - 4 = 0
Putting in the x-value of -1, we get:
9(-1) + 4y - 4 = 0
Simplifying:
-9 + 4y - 4 = 0
Combining the -9 and the -4:
4y - 13 = 0
Getting rid of the -13 by adding 13 to both sides:
4y - 13 + 13 = 0 + 13
4y = 13
Dividing both sides by 4:
y = 13/4
Checking: Is 9(-1) +4(13/4) -4 really zero? Yes!
Let 0° < a < 90°
Given: cos a=7/25
Find: sin a and cot a
The solutions are:
sin(a) = 24/25
tan(a) = 24/7
For a given point (x, y) and an angle "a" measured counterclockwise from the positive x-axis to a ray that connects the origin with our point, we can think on the situation as a triangle rectangle.
Where the ray is the hypotenuse, the x-component is the adjacent cathetus, and the y-component is the opposite cathetus.
So we have:
x = adjacent cathetus
y = opposite cathetus
h = hypotenuse = √(x^2 + y^2)
Then the trigonometric relations become:
cos(a) = x/√(x^2 + y^2)
sin(a) = y/√(x^2 + y^2)
tan(a) = y/x
Now, we know that we have:
cos(a) = 7/25
then we can see that:
x = 7
and
h = 25 = √(7^2 + y^2)
We can solve the above equation for y:
25 = √(7^2 + y^2)
25 = √(49 + y^2)
25^2 = 49 + y^2
625 - 49 = y^2
√576 = y = 24
Then we have:
x = 7
y = 24
h = 25
Now we can return to our known trigonometric relations and get:
sin(a) = y/√(x^2 + y^2) = 24/25
tan(a) = y/x = 24/7
If you want to learn more about trigonometry, you can read:
https://brainly.com/question/14746686
