Given f(x) = 4x - 1 and g(x) = x2, choose
the expression for (fºg)(x).
Click on the correct answer.
Step-by-step explanation:
step 1. f°g(x) = f(x^2)
step 2. f(x^2) = 4(x^2) - 1
step 3. answer: 4x^2 - 1
Having good study habits will help you learn more.
TrueFalse
Answer:
Ture
Step-by-step explanation:
I have experience and i answered this question before
Answer:
True.
Step-by-step explanation:
Studying helps implant the knowledge into your brain, allowing you to remember it, and succeed in that subject of knowledge, thus having good study habits will help you learn more!
Given a roll of nickels. The diameter of one nickel is 0.835 inches, and the thickness is 0.077 inches. Find the surface area of a roll of $2 in nickels. Round to the nearest tenth.
PLS RESPOND ASAP I NEED THE ANSWER PLSSSS
Answer:
124.8 Inches
Step-By-Step
1/2 0.835 Inches = 0.4175
r = 0.4175
h = 0.077
A=2πrh+2πr^2
A=2π(0.4175)(0.077)+2π(0.4175^2)
A = 3.12
Nickel = 5 Cents
$2 = 200 Cents
200 / 5 = 40
(3.12)(40) = 124.8 In
Answer:
The answer is 0.8 in^2
Step-by-step explanation:
Data
diameter = 0.835 in
thickness = 0.077in
Roll of $ 2.00
Procedure
1.- Find the total number of nickels
# of nickels = 2/ 0.05
# of nickels = 40
2.- Calculate the Circumference
C = 2*pi*r
r = 0.077/2
r = 0.0385
C = 2*3.14*0.0385
C = 0.242 in
3.- Calculate the area of the thickness
Area = 0.242* 0.077*40
Area = 0.745 in^2
4.- Calculate the area of the base and the top
Area = 2*pi*r^2
Area = 2*3.14*(0.0382)^2
Area = 0.0093 in^2
5.- Calculate the total area of the roll
Total area = Area of the thickness + Area of the base and top
Total area = 0.745 + 0.0093
Total area = 0.7543 in^2 This is the result
Rounding to the nearest tenth = 0.8 in^2
Which applies the power of a product rule to simplify (50) ?
(50) 3 - 56
(51) 3 = 3(57) - 154
(50 ° - 5373 = 1251
(50) 3 - 5 t = 1251
A map is shown.
How far is Sandra's house from Johnny's house?
Answer:
1681 miles
By Pythagoras theoram
Find the volume of a right circular cone that has a height of 4.4 in and a base with a diameter of 3.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
12.5 in squared 3
Step-by-step explanation:
Answer:
12.5!
Step-by-step explanation:
How do you decide where to shade an inequality whose boundary does not go through the origin?
Answer:
Step-by-step explanation:
basically, you have to look at the inequality. it is the same all around. so if the inequality has less than or equal too, or greater than or equal too, you need to have a thick solid line representing your function. if it is just less than or greater than, use a dotted line. to determine whether the shading goes above or below, you look at the in equality. greater than is above, and less than is below
ducks and pigs are in a barn. There a total of 20 animals with 56 legs all together. How many of each animal are in the barn?
Answer:
Ducks- 8
Pigs- 12
Step-by-step explanation:
56 divided by 8 is 12 and 12 plus 8 is 20.
Please help ASAP I will give brainliest!
Answer:
6 minutes
Step-by-step explanation:
2 degrees per minute
so you need 12 degrees so 12/2 = 6 degrees
In order for a rhombus to be proven using either its sides or angels, it must first be proven to be a
Answer:
It must be proven to be a quadrilateral
Step-by-step explanation:
The question is straightforward, and it requires a direct answer.
A rhombus has four sides and as such it means it is a type of quadrilateral.
So, before a shape is proven to be a rhombus, it has to first be proven to be a quadrilateral.
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 620 babies were born, and 341 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective?
Answer:
Based on the confidence interval, the method appears to not bring expected results
Step-by-step explanation:
The given parameters are;
The number of babies in the study, n = 620 babies
The number of girls in the study sample = 341 girls
The proportion of girls in the study sample, [tex]\hat p[/tex] = 341/620 = 0.55
At 99% confidence level, we have the critical z = 2.576;
The confidence interval is given by the following formula;
[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p} \cdot (1-\hat{p})}{n}}[/tex]
Plugging in the values of the variables, we get;
[tex]CI=0.55\pm 2.576\times \sqrt{\dfrac{0.55 \times (1-0.55)}{620}} \approx 0.55 \ \pm 5.14680 \times 10^{-2}[/tex]
Therefore, 0.498532 < p < 0.601468
Based on the result of the confidence interval, we can be 99% sure that the true mean is between 0.498532 and 0.601468, therefore, given that the range includes a true mean of 0.5 or 50% probability of conceiving a girl, which is the percentage predicted by genetics, the method appears ineffective
Chromebook - $249
Calculate a 25% discount using a proportion or an equation.
Proportion
Equation
Answer:
Discount- $62.25
Price after discount-$186.75
Step-by-step explanation:
25% of 249 is 62.25.
Therefore, 249-62.25=186.75
A rectangle has vertices located at (–4, 4), (2, 4), (2, –4) and (–4, –4). What is the length of a diagonal of the rectangle?
Answer:
A diagonal of this rectangle has length 10.
Step-by-step explanation:
The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4). These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.
Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4). To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.
Thus, the width of the rectangle is 6 and the length is 8.
Using the Pythagorean Theorem, we find the length of a diagonal as follows:
d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.
A diagonal of this rectangle has length 10.
A football field measures at 100 yards with 2 end zones. There are 2 end zones. Each end-zone is 10 yards long. What is the total length of the football field in feet?
Answer:
360 feet.
Step-by-step explanation:
If there are 2 end zones each measuring 10 yards long then that means that both together measure 20 yards long. We add this to the 100 yards of the field and we get a total length of 120 yards. Now we can simply turn this into feet, we know that ...
1 yard = 3 feet
120 yards = x feet
120 * 3 = x
360 feet = x
Finally, we can see that the length of the football field is 360 feet.
if the simple interest on 2000 for 4 years is 4000 then what is the interest rate
Answer:
Principal = Rs 2000
Time = 4 years
Interest = Rs 400
Now, Interest= Principal×Rate×Time/100
400= 2000×R×4/100
R= 400×100/2000×4
Step-by-step explanation:
Hope it is helpful....
If twice a number is 10, what is that number?
Answer:
2x = 10
x = 10 / 2
therefore, x can be 5
Step-by-step explanation:
check
2*5 = 10
BRAINLIEST ARMYYY
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=38(1.108)^x
Step-by-step explanation:
We are given this function:
y=8700* (1.04)^{4}y=8700∗(1.04)
4
8700 is the initial amount.
1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.
1.04 * 100% = 104%
Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.
In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.
104% - 100% = 4%
This would be our solution if we don't have an exponent.
We have exponent so first step is to calculate the number and then we repeat the steps from above.
1.04^{4} = 1,169858561.04
4
=1,16985856
1,16985856 * 100% ≈ 116,99%
116.99% - 100% = 16.99%
So, final solution is growth of 16.99%
We are given this function:
y=8700* (1.04)^{4}y=8700∗(1.04)
4
8700 is the initial amount.
1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.
1.04 * 100% = 104%
Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.
In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.
104% - 100% = 4
This would be our solution if we don't have an exponent.
We have exponent so first step is to calculate the number and then we repeat the steps from above.
1.04^{4} = 1,169858561.04
4
=1,16985856
1,16985856 * 100% ≈ 116,99%
116.99% - 100% = 16.99%
So, final solution is growth of 16.99%
HELPPPPPP!!!
find each missing length. give all answers in the simplest radical form.
Answer: 67.082
Step-by-step explanation: 67.1
If the measure of arc RT = 80 degrees and the measure of arc US = 40 degrees, what is the m<2?
6. A certain $400 investment is increasing 10%
every year.
a. What is the the sequence generator (multiplier)?
Answer:
0.10
Step-by-step explanation:
0.10 = 10/100 or 10%
Multiply 400*0.10 to get 10% of 400.
*
What is the slope and y-intercept of y=-3x+7?
Answer:
The slope is -3 and the y-intercept is (0, 7)
Step-by-step explanation:
In the slope-intercept form (y=mx+b), m is the slope and b is the y-intercept. -3 is substituted for m and 7 is substituted for b in your equation.
Mrs.Patrick bought a package of 15 expo markers. 20% of them were blue the other's were black. How many expo markers were blue?
Answer:
3 blue expo markers
Step-by-step explanation:
15(0.2)=3
Just number 14 pleaseee
9514 1404 393
Answer:
Step 2 is where the error lies.
The solution is x > 6
Step-by-step explanation:
The rules for solving inequalities are substantially similar to the rules for solving equations. If you perform the same operation on both sides of the comparison, the value of the variable does not change. (The exception is when that operation is an "order-reversing" operation. See comment below.)
Kahal's steps would be expected to be the same ones you would use:
Step 1: 4x -4 > 20 . . . given
Step 2: 4x > 24 . . . add 4 to both sides
Step 3: x > 6 . . . . . divide by 4
We note that our Step 2 is different from Kahal's Step 2. In Step 2 is where his mistake was made. He added 4 to one side and subtracted 4 from the other side.
__
Exception (order-reversing operations)
The operation you will usually run across in high-school algebra that will reverse ordering is multiplication (or division) by a negative number. Consider, for example, ...
1 < 2
-1 > -2 . . . . . both sides of the inequality multiplied (or divided) by -1
Notice that the order has been reversed: the larger magnitude number is now "less than".
The perimeter of a regular hexagon is 78 cm .What will be the length of each side?
Answer:
13 cm
Step-by-step explanation:
78/6=13
Answer:
13cm
Step-by-step explanation:
regular means the sides are equala hexagon has 6sides78/6=13Factor completely:
x³ - 9x
Answer:
x(x+3)(x-3)
Step-by-step explanation:
Factor out common term x
=x(x^2-9)
Factor x^2-9;
(x+3)(x-3)
=x(x+3)(x-3)
Answer:
x(x + 3)(x - 3)
Step-by-step explanation:
What we're given is a difference of squares multiplied by x. If we start by factoring x out, we can simply expand the binomial:
x³ - 9x
= x(x² - 9)
= x(x + 3)(x - 3)
Any time you see an expression in the format a² - b², that is called a difference of squares, and can always be expanded out to (a + b)(a - b). In this case, a is x, and b is 3.
Adult tickets to a basketball game cost $5. Student ticket cost $1. A total of 2,814 was collected on the sale of 1,150 ticket. How many of each type of ticket were sold?
Answer:
Adult: 333 tickets, Student: 1664 tickets
90 minutes in fraction hour?
Answer:
1.5 Hours
Step-by-step explanation:
So, 90 minutes is between 1 hour and 2 hours (2 x 60 = 120 minutes). It is exactly half way between, hence 90 minutes is 1 and 1 half hours (or less formally, 1 and a half hours).
or
90 Minutes = 1.5 Hours = 1 Hour and 30 Minutes. Minutes to hours Time Converter 90 hours to minutes. This conversion of 90 minutes to hours has been calculated by multiplying 90 minutes by 0.0166 and the result is 1.5 hours.
Jim Tree sells trees. The mean length of the trees purchased was 68 inches with a standard deviation of 10 inches. Jim wants to know what percent of his sales were more than 84 inches tall. He can use the standard normal distribution to help him.
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Given value:
[tex]\to X = 84\\\\\to \mu = 68\\\\\to \sigma= 10\\\\[/tex]
Using formula:
[tex]\bold{Z= \frac{X-\mu}{\sigma}}[/tex]
[tex]= \frac{84-68}{10}\\\\ = \frac{16}{10}\\\\=1.6[/tex]
Calculating the percent of the sales which is less than or equal to 84 inches:
[tex]\to P(Z \leq 1.6)=0.9452[/tex]
[tex]= 0.9452 \times 100\\\\ =94.52\% \approx 95.5\%[/tex]
Calculating the remaining value [tex]100-94.5=5.5\%[/tex] were more than 84 inches.
help with this too!!
Answer:
a
Step-by-step explanation:
What is another way to write x2.x4?
Answer:
If x2.x4 and x2= 2x, x4=4x, while . means multiplication. therefore it can be written as 2x × 4x