Answer:
60%
Step-by-step explanation:
40 ft² is 100%
so, 1% = 0.40 ft²
now we need to ask, how often did 1% fit into the 16 ft².
that means
16 / 0.4 = 16 / (4/10) = (16×10)/4 = 160/4 = 40 %
so, the new, smaller area is only 40% of the original area.
and that means, that the area decreased by 100-40 = 60%
Abcdefghijklmnopqrsruvwxyz
For A do I put 4 or put 4^2 (16)?
Answer: a = -4, b = 8, c = 3
This is because the general template is ax^2+bx+c
Matching up the terms gets us what is shown in bold. The x's are not involved as part of a,b,c. We just focus on the numbers in front.
The graph is shown below. I used GeoGebra to make the graph.
Currently stuck on this problem. Can someone help me solve this? I don’t understand.
Step-by-step explanation:
the correct one is a = (-b)/2
im not sure how to go about this one. any help is appreciated
Answer:
The inequality that represents the graph is:
[tex]y\leq \frac{2}{3}x+2[/tex]
Step-by-step explanation:
First of all, we need to get the equation of the linear function. We need to choose two points using the graph.
The first point would be (-3,0)
The second point would be (6,1)
The equation of a line is:
[tex]y=mx+b[/tex]
m is the slope and can be calculated using the points chossen.
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{1+3}{6-0}[/tex]
[tex]m=\frac{4}{6}[/tex]
[tex]m=\frac{2}{3}[/tex]
Now, using one point we will find the b value. Let's chose (-3,0)
[tex]0=m(-3)+b[/tex]
[tex]0=(\frac{2}{3})(-3)+b[/tex]
[tex]0=-2+b[/tex]
[tex]b=2[/tex]
Then, the linear equation is:
[tex]y=\frac{2}{3}x+2[/tex]
Now, all the allowed values are below the function, therefore the inequality will be:
[tex]y\leq \frac{2}{3}x+2[/tex]
I hope it helps you!
find r if 0=pi/6 rad sector 64m^2
Given:
Area of a sector = 64 m²
The central angle is [tex]\theta=\dfrac{\pi}{6}[/tex].
To find:
The radius or the value of r.
Solution:
Area of a sector is:
[tex]A=\dfrac{1}{2}r^2\theta[/tex]
Where, r is the radius of the circle and [tex]\theta [/tex] is the central angle of the sector in radian.
Putting [tex]A=64,\theta=\dfrac{\pi}{6}[/tex], we get
[tex]64=\dfrac{1}{2}r^2\times \dfrac{\pi}{6}[/tex]
[tex]64=\dfrac{\pi}{12}r^2[/tex]
[tex]64\times \dfrac{12}{\pi}=r^2[/tex]
[tex]\dfrac{768}{\pi}=r^2[/tex]
Taking square root on both sides, we get
[tex]\sqrt{\dfrac{768}{\pi}}=r[/tex]
[tex]16\sqrt{\dfrac{3}{\pi}}=r[/tex]
Therefore, the value of r is [tex]16\sqrt{\dfrac{3}{\pi}}[/tex] m.
What equation should they enter into the distometer?
Answer:
92
Step-by-step explanation:
[tex]d = rt[/tex]
[tex]2r = 184[/tex]
[tex]r = \frac{184}{2} = 92[/tex]
Just to check the answer:
[tex]r = \frac{276}{3} = 92[/tex]
[tex]r = \frac{368}{4} = 92[/tex]
umm can u help me bcs well i aint good at math well not really ?
What is the end behavior of the graph of the polynomial function f(x)= 3x^6+30x^5+ 75x^4
9514 1404 393
Answer:
f(x) → ∞ as |x| → ∞
Step-by-step explanation:
The degree is even and the leading coefficient is positive. When the magnitude of x gets large (either positive or negative), the value of f(x) will be a large positive number.
f(x) → ∞ as |x| → ∞
4 + 9x + 8 + 3x + 5 + 2
Simplify the expression by combining the like terms
Answer:
12x+19
Step-by-step explanation:
First you would find the like terms. There is 9x and 3x, and 5, 2, 4, and 8. If you combine 9x and 3x, you get 12x, and if you combine 5, 2, 4, and 8, you get 19. You then combine your two answers to get 12x+19.
Answer:
12x + 19
Step-by-step explanation:
Add the exponents and then add the numbers.
In 2000, an estimated 7.7 x 10^7 spoke French as their first language and an estimated 1 x 10^8 people spoke German as their first language. In 2000, which language had more speakers?
Answer:
German
Step-by-step explanation:
Given :
Number of people who spoke French as first language in 2000 = 7.7 * 10^7 ; in standard form ;
7.7 * 10^7 = 7.7 * (10 * 10* 10 * 10* 10* 10 * 10) = 77,000,000 = 77 million
Number of people who spoke German as first language in 2000 = 1 * 10^8 ; in standard form ;
1 * 10^8 = 1 * (10 * 10* 10 * 10* 10* 10 * 10 * 10) = 100,000,000 = 100 million
German had more speakers
Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4.
Answer:
65.94
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
3.14(a² + ab)
a = 3
b = 4
Step 2: Evaluate
Substitute in variables: 3.14(3² + 3 · 4)(Parenthesis) Exponents: 3.14(9 + 3 · 4)(Parenthesis) Multiply: 3.14(9 + 12)(Parenthesis) Add: 3.14(21)Multiply: 65.94Hey there!
3.14(a^2 + ab)
= 3.14(3^2 + 3 *4)
3^2
= 3 * 3
= 9
3 * 4
= 12
3.14(9 + 12)
9 + 12
= 21
3.14(21)
= 65.94
Answer: 65.94
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
to the nearest whole number 16,671 is
Answer:
Step-by-step explanation:
17
Answer:
16,671 is a whole number but if you meant 16.671 the nearest whole number is 17
Step-by-step explanation:
Solve the equation using the distributive property and properties of equality
3(x+6) = 18
What is the value of x?
6
7 1/2
14 1/2
30
Answer:
0
Step-by-step explanation:
3(x+6)=18
3x+18=18
3x=18-18
3x=0
3x/3=0/3
x =0
What is the value of y?
Answer:
A
Step-by-step explanation:
Guess
What is the value of x?
Answer: x=6
.......................
Answer:
x = 6
Step-by-step explanation:
0.25(Figure A) = Figure B
0.25x = 1.5
x = 1.5/0.25
x = 6
Excel Assignment
Samsung manufactures cellphone with an average standby time of 10 hours between charges. The standby time of the cellphone is normally distributed. During the design stage, the quality engineering staff recorded 18 observations of the standby time of the cellphone. Using the observations below, is there evidence that the average standby time of a Samsung cellphones is not 10 hours? Use a level of significance of .05
Observation
Observations
Time
1
10.85
2
11.4
3
10.81
4
10.24
5
10.23
6
9.49
7
9.89
8
10.11
9
10.57
10
11.21
11
10.1
12
11.22
13
10.31
14
11.24
15
9.51
16
10.52
17
9.92
18
8.33
Answer the following questions:
What is the null and alternative hypothesis to the case above?
Copy the data into excel and do an analysis to test the hypothesis
What is the conclusion of your analysis?
Develop the 95% confidence interval.
18
Step-by-step explanation:
hduduxjajahxhuddixisuduvic
if you have one kilogram=2.2 pounds does a 3 kilogram roast beef weight more or less than 6 pounds
Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1 - 36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. What is the probability of landing on an number greater than 12?
Answer:
.6315 or 63.15%
Step-by-step explanation:
not sure if the question is trying to be tricky, but there are 0 and 00 which makes a total of 38 numbers on the wheel (and they are less than 12)
24/38 = .6315
2. My wife and I are racing around a 400m track going opposite directions. I am
running at 8 m/s and she has a head start of 50 meters running at 5m/s, how long
does it take for us to reach the same point.
Find the area of the triangle.
18 in.
25 in.
Answer:
225in
Step-by-step explanation:
i don't understand how to add the fractions
Answer:
5/4 or
1 and 1/4
Step-by-step explanation:
1/2 + 3/4 =
1 × 2
2 × 2 + 3/4
=
2/4 + 3/4
=
2 + 3
----------
4
so
5/4 or
1 and 1/4
A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes. What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week
Answer:
0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes.
This means that [tex]\mu = 112, \sigma = 12[/tex]
What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week?
This is the p-value of Z when X = 90. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{90 - 112}{12}[/tex]
[tex]Z = -1.83[/tex]
[tex]Z = -1.83[/tex] has a p-value of 0.0336
0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.
Simplify the expression below
Answer:
[tex]3\sqrt{10}[/tex]
Step-by-step explanation:
If 15 litres of paint covers an area of 250 m2, what area (in m2) will 20 litres of paint cover?
Answer: 333.33m²
Step-by-step explanation:
Since we are informed that 15 litres of paint covers an area of 250 m2, the the area that 1 liter of paint will cover will be:
= 250m²/15
= 16.666667m²
Therefore, the area that 20 litres of paint will cover will be:
= 16.666667m² × 20
= 333.33m²
You need 333 sticks of butter for every 242424 cookies you bake.
Complete the table using equivalent ratios.
Answer:
1/728
Step-by-step explanation:
333/242424 =
1/728
Complete the input-output table for the function y = 3x.
Input-Output table
Answer:
Y: 0, x:0
Y:1, x: 3
Y: 2, x: 6
Y: 3, x:9
Step-by-step explanation:
Plug in the x to get the y
A rectangle has an area of 243 square feet. One dimension is 9 feet. What is the length of the other dimension?
Answer:
350
Step-by-step explanation:makes sense
A roller coaster travels 350 feet
horizontally and then travels 130 feet
at an angle of 60° from the ground.
What is the magnitude and direction of the
resultant vector?
Answer:
its 430
Step-by-step explanation:
d. The equation of a line is y+6=-9(x - 1). The slope of the line is and the y-intercept is A point on the line is
Answer: The equation of a line is y+6=-9(x-1). The slope of the line is -9 and the y-intercept is 3. A point on the line is (0, 3)
Step-by-step explanation:
Let's start by putting it in slope intercept form.
First use the distributive property
[tex]y+6=-9(x-1)\\y+6=(-9)(x)+(-9)(-1)\\y+6=-9x+9[/tex]
Now subtract 6 from both sides
[tex]y+6-6=-9x+9-6\\y=-9x+3[/tex]
Now it is in slope intercept form (y=mx+b)
In slope intercept form the slope of the line is the value m. In our equation the value m is -9 making that our slope.
In slope intercept form the y-intercept of the line is b. In our equation the value of b is 3 making that our y-intercept.
To find a point on the line we can sub x with any number to find the y so that we can find the coordinate.
[tex]y=-9(0)+3\\y=0+3\\y=3[/tex]
A point on the line is (0, 3)
simplify 2 X + 1
whole cube
Answer:
So, After simplify : [tex](2x+1)^3=8x^3+12x^2+6x+1[/tex]
Step-by-step explanation:
Given question :
[tex](2x+1)^3[/tex]
Now,
Applying this formula
[tex](a+b)^3=a^3+b^3+3ab(a+b)[/tex]
So,
[tex](2x+1)^3=(2x)^3+1^3+3(2x)(1)(2x+1)\\\\ (2x+1)^3 =8x^3+1+6x(2x+1)\\\\ ( 2x+1)^3 =8x^3+1+12x^2+6x\\ (2x+1)^3 =8x^3+12x^2+6x+1[/tex]
Answer:
3x 0r 2x1
Step-by-step explanation:
