Answer:
SA = 153.9m^2
Step-by-step explanation:
SA = 4[tex]\pi[/tex][tex]r^{2}[/tex]
r = 3.5
SA = 4[tex]\pi[/tex][tex](3.5)^{2}[/tex]
SA = 4[tex]\pi[/tex](12.25)
SA = 49[tex]\pi[/tex]
SA = 153.9m^2
does x represents Mount Everest height ?
Answer:
Bro what do you mean to represent Mount Everest height by x but if you want to sove a maths sum than you can take any alphabet
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Which expression is not a polynomial
Answer:
the last option [tex]x^{3}[/tex] + 1 / x
Step-by-step explanation:
first option's x has the power 3
second option's x has the power 1
third option's x has the power 1
but in the last option it has the power -1
polynomials doesn't support negative power
*remember
Derivatives concept:
Equation of the secant line and tangent to a curve.
Let the function [tex]f(x)=2x^{2}+1[/tex] and its graph be:
(In both graphs (activity A and B) all the corresponding development must be carried out to arrive at the requested equation)
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Answer:
A. y = -2x +13
B. y = 8x -7
Step-by-step explanation:
A. We can read the y-intercept of the secant line from the graph. It is 13.
The slope can also be read from the graph, but we choose to use the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (19 -9)/(-3 -2) = 10/-5 = -2
Then the slope-intercept formula for the line is ...
y = mx + b . . . . . . line of slope m and y-intercept b
y = -2x +13
__
B. The vertex of the given parabola is (0, 1). We notice that when x=1 (1 unit right of the vertex), y = 3 (2 units up from the vertex). This tells us the vertical scale factor of the parabola is 2. That means the vertex form equation is ...
y = a(x -h)^2 +k . . . . . . . . vertex (h, k), scale factor 'a'
y = 2(x-0)^2 +1 . . . . . . . use known values for (h, k)
y = 2x^2 +1
The derivative of this is ...
y' = 4x
So, at x=2, the given point A, the slope of the tangent line is ...
m = y' = 4(2) = 8
We have a point and the slope, so we can write the point-slope form of the equation for the tangent line:
y -9 = 8(x -2)
Rearranging to slope-intercept form, this is ...
y = 8x -7
__
Additional comment
You can also read the slope of the tangent line from the graph. The line also goes through the point (1, 1), so has a rise of 8 for a run of 1. The y-intercept can be found from ...
b = y -mx = 9 -8(2) = -7
This lets you write the equation of the tangent line directly from the graph.
That is, the parameters of both lines can be read from the graph, so there is very little "development" required.
PLEASE HELP
-6/5k=12
Show your work in details if you can, I have a hard time understanding this.
[tex]\begin{cases}\large\bf{\green{ \implies}} \tt \: - \frac{6}{5} \: k \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{6k}{5} \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: - 6k \: = \: 12 \: \times \: 5 \\ \\ \large\bf{\green{ \implies}} \tt \: - 6k \: = \: 60 \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: \cancel\frac{60}{ - 6} \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: - 10 \end{cases}[/tex]
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
Chapter 11 part 4:
Of the three functions {f(x), g(x), h(x))} featured on the graph below (on the following page), rank the functions in order of greatest rate of growth to least.
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Answer:
g, h, f
Step-by-step explanation:
A graph of two exponential curves will have the one with the least growth rate crossing under the one with the greater growth rate. Here, f(x) is shown crossing under g(x) and is on its way to a point of intersection with h(x). So, f(x) has the least growth rate.
g(x) and h(x) start out at about the same level, but g(x) curves upward faster, indicating it has the higher growth rate.
In order from greatest to least growth rate, the functions are ...
g(x), h(x), f(x)
A grocery store manager notices that this month her store sold a total of 682 gallons of ice cream, which represents a decrease of 10% from last month. On the other hand, her store sold 515 pounds of broccoli this month, which represents an increase of 11% from last month. How much ice cream and broccoli did the store sell last month? Round your answers to the nearest integer.
The store sold __________ gallons of ice cream last month.
The store sold __________ pounds of broccoli last month.
Answer:
The store sold 758 gallons of ice cream last month.
The store sold 464 pounds of broccoli last month.
Step-by-step explanation:
Find how much ice cream they sold last month:
682/0.9
= 758
Find how much broccoli they sold last month:
515/1.11
= 464
The store sold 758 gallons of ice cream last month.
The store sold 464 pounds of broccoli last month.
A sample of 900 computer chips revealed that 61% of the chips fail in the first 1000 hours of their use. The company's promotional literature claimed that under 64% fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to support the company's claim
Answer:
The p-value of the test is 0.0301 > 0.02, which means that there is not sufficient evidence at the 0.02 level to support the company's claim.
Step-by-step explanation:
The company's promotional literature claimed that under 64% fail in the first 1000 hours of their use.
At the null hypothesis, we test if the proportion is of at least 64%, that is:
[tex]H_0: p \geq 0.64[/tex]
At the alternative hypothesis, we test if the proportion is of less than 64%, that is:
[tex]H_1: p < 0.64[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
64% is tested at the null hypothesis:
This means that [tex]\mu = 0.64, \sigma = \sqrt{0.64*0.36}[/tex]
A sample of 900 computer chips revealed that 61% of the chips fail in the first 1000 hours of their use.
This means that [tex]n = 900, X = 0.61[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.61 - 0.64}{\frac{\sqrt{0.64*0.36}}{\sqrt{900}}}[/tex]
[tex]z = -1.88[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.61, which is the p-value of z = -1.88.
Looking at the z-table, z = -1.88 has a p-value of 0.0301.
The p-value of the test is 0.0301 > 0.02, which means that there is not sufficient evidence at the 0.02 level to support the company's claim.
If f(x) = 2x – 1 and g(x) = x^2 – 2, find [g ◦ f](x).
Show work please
Answer:
2x^3-x^2-4x+2
Step-by-step explanation:
(g*f)(x) = g(x)*f(x) = (x^2-2)*(2x-1) = 2x^3-x^2-4x+2
a firm employs 360 people of whom 1/9are killed workers and the rest are unskilled workers. Of the unskilled workers, six are foremen who earn sh 13500 per month each while the rest earn sh9000 per month .of the skilled workers. a half earn sh19500 each pm while the rest earn sh 24500 each per month .prepare one months wages bill for the firm
Answer:
3787000
Step-by-step explanation:
360*1/9=40 - skilled workers
360-40=320- the quantity of unskilled
6*13500=81000- wage for six unskilled
(320-6)*9000= 314*9000= 2826000- wage for the rest of unskilled
2826000+81000= 2907000- wage for unskilled
40/2=20 - the half on skilled
20*19500= 390000- Payment for a half
20*24500= 490000- Payment for ANOTHER HALF OF SKILLED WORKERS
2907000+390000+490000= 3787000
????????????????????????
Answer:
Minimum = -1
Maximum = None
Step-by-step explanation:
The minimum is the lowest y value of a given function and the maximum is the highest y value. In this instance, the vertex is the minimum. This means the minimum value is -1. There is no maximum as the function seemingly increases forever.
purchased a book rs 500 sold 20%profit find its actual profit and sel
ling price
Answer:
Selling price=rs.600.
Profit of rs=100.
Step-by-step explanation:
C.P=500; profit%=20%
S.P.=100+profit%×C.P/100
S.P=120×500/100
=rs.600
S.P>C.P
Profit S.P-C.P
600-500=100
he gained for rs.100.
Solve for x
Answer choices:
4
5
8
3
2
opposite angles are equal
[tex]\\ \sf\longmapsto 13x+19=84[/tex]
[tex]\\ \sf\longmapsto 13x=84-19[/tex]
[tex]\\ \sf\longmapsto 13x=65[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{65}{13}[/tex]
[tex]\\ \sf\longmapsto x=5[/tex]
Answer:
[tex]\boxed {\boxed {\sf x=5}}[/tex]
Step-by-step explanation:
We are asked to solve for x.
We are given a pair of intersecting lines and 2 angles measuring (13x+19)° and 84°. The angles are opposite each other, so they are vertical angles. This means they are congruent or have the same angle measure.
Since the 2 angles are congruent, we can set them equal to each other.
[tex](13x+19)=84[/tex]
Solve for x by isolating the variable. This is done by performing inverse operations.
19 is being added to 13x. The inverse operation of addition is subtraction. Subtract 19 from both sides of the equation.
[tex]13x+19-19= 84 -19[/tex]
[tex]13x= 84 -19[/tex]
[tex]13x=65[/tex]
x is being multiplied by 13. The inverse operation of multiplication is division. Divide both sides by 13.
[tex]\frac {13x}{13}= \frac{65}{13}[/tex]
[tex]x= \frac{65}{13}[/tex]
[tex]x= 5[/tex]
For this pair of vertical angles, x is equal to 5.
Order the tiles to match the scenario of the graph of the
Answer:
i dont see a graph...
Step-by-step explanation:
???
I need help wit this ASAP 6 minutes
8. 15x - 10 = 80
a. X= 2
b. x=4
c. X= 6
Answer:
C
Step-by-step explanation:
15x-10=80
15x=90
x=90/15, x=6
Answer:
x = 6
Step-by-step explanation:
15x - 10 = 80
Add 10 to each side
15x-10+10 = 80+10
15x = 90
Divide each side by 15
15x/15 = 90/15
x = 6
Nicole took a taxi from her house to the airport. The taxi company charged a pick-up fee of $2.90 plus $1.75 per mile. The total fare was $44.90, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.
Answer:
25.66 miles
Step-by-step explanation:
fee of $2.90 plus --> $2.90 + _______ = ______
total fare was $44.90--> ______ +______ = $44.90
$1.75 per mile,per mile would be x since the number of miles are unknown
$1.75 per mile --> ______ + $1.75x = ______
Put together: $2.90 + $1.75x = $44.90
Note: It could be written as '$1.75x + $2.90 = $44.90', it really doesn't matter
1. Subtract $2.90 from both sides : $1.75x + $2.90 - $2.90 = $44.90-$2.90 resulting in $1.75x = $44.90
2. Divide $1.75x form both sides: $1.75/$1.75x = $44.90/$1.75 resulting in x=25.66*rounded from 25.6571428571
x=25.66 miles
Note: If you are subtracting,adding, or etc. on one side, you HAVE to do it on the other side too.
A (5,3) and B (2,-1) are two verticles of a square ABCD and D is on the x axis. Find the coordinate of C and D
Answer:
1) D(1,0), C(-2,-4) or 2) D(9,0), C(6,-4)
Step-by-step explanation:
The vector AB is (2-5, -1-3)= (-3,-4)
The modul of the vector is equal to sqrt (3squared+4squared)=5 (the length of the side AB of square)
Explore the point D (the coordinates of the point is (x,0), y=o, because it is an axis x). AD (x-5, -3)
The modul of AD is sqrt ((x-5)^2+(-3)^2)= sqrt (x^2-10x+25+9), it is equal to the side AD which is equal to AB
sqrt(x^2-10x+34)= 5
x^2-10x+34=25
x^2-10x+9=0
x=1, x=9
D is (1,0) or D is (9,0),
find C, (for D1(1,0))
Find the midpoint of BD (O)
xo= (2+1)/2= 1.5
y0=(-1+0)/2= -0.5
It is the midpoint of Ac too
x0= (xa+xc)/2 1.5 = (5+xc)/2 xc= -2
y0=(ya+yc)/2 -0.5= (3+yc)/2 yc=-4
c(-2,-4)
Find C2 (for D(9,0))
Find the midpoint of BD (O)
x0= (2+9)/2=5.5
y0= (-1+0)/2=-0.5
o(5.5, -0.5)
It is the midpoint of Ac too
x0= (xa+xc)/2 5.5= (5+x)/2 x=6
y0=(ya+yc)/2 -0.5= (3+x)/2 y=-4
As a student, you are able to earn extra money by assisting your neighbors with odd jobs.
If you charged $10.25 an hour for your assistance, about how many hours would you
need to work to earn $8,425? Show your work. (
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Answer:
about 822 hours
Step-by-step explanation:
If h is the number of hours for which you are paid $10.25 per hour, then the number you need is ...
8425 = 10.25h
Divide by the coefficient of h:
8425/10.25 = 10.25h/10.25
821.95121...(5-digit repeating decimal)
You need to work about 822 hours to earn $8425.
_____
Your pay for 822 hours will be $8425.50. If taxes are deducted, you need to work a while longer.
Suppose a restaurant offers the following prix fixe menu:
Main course: prime rib, steak, chicken, filet of sole, shrimp
Side dish: soup, salad, crab cakes
Dessert: cheesecake, chocolate chip delight, ice cream.
Beverage: coffee, tea, milk
In how many ways can someone order a meal consisting of one choice from each category?
There are 135 ways someone can order a meal consisting of one choice from each category.
Permutation and combinationTo find the total number of ways someone can order a meal consisting of one choice from each category, we need to multiply the number of options in each category:
Number of options for the main course = 5
Number of options for the side dish = 3
Number of options for the dessert = 3
Number of options for the beverage = 3
Using the multiplication principle, the total number of ways to order a meal is:
5 x 3 x 3 x 3 = 135
Therefore, there are 135 ways someone can order a meal consisting of one choice from each category.
More on permutation can be found here: https://brainly.com/question/30557698
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.The sum of two number is 40 when 13/4 multiplied by the larger number is subtracted from 11/2 multiplied by the smaller number. The difference is-25 Find the number
Answer:
Step-by-step explanation:
x + y = 40
x>y
(11/2)y - (13/4)*x = - 25
x = 40 - y
(11/2)y - (13/4)(40-y) = - 25 multiply by 4
22y - 13( 40 - y) = - 100
22y - 520 + 13y = -400 Add 520
35y = 120
y = 120 / 35
y = 3 3/7
x = 40 - y
x = 36 4/7
what is the area of the trapezoid?
Answer:
A = 70 mm²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 10, b₁ = 10, b₂ = 4 , then
A = [tex]\frac{1}{2}[/tex] × 10 × (10 + 4) = 5 × 14 = 70 mm²
if ella earns x dollars, she is taxed x%. How much money should she earn to maximize her income?
Answer:
just devide it. after that ÷ with 100 per time
Which calculation and answer show how to convert 9/16 to a decimal?
Answer:
answer d
Step-by-step explanation:
fraction to decimal conversion is basically 9÷16
which is 0.5625
How many ways can a president, vice president, secretary, and treasurer be chosen from a club with 8 member
Answer:
504
Step-by-step explanation:
Cynthia invests some
money in a bank which
5% compound interest per year.
pays
She
wants it to be worth
over £8000 at the end of 3
years.
What is the smallest amount, to the nearest pound, she can invest?
I
Answer:
The smallest amount is £6911
Step-by-step explanation:
Rate of Interest = R = 5% per year
Duration in years = n = 3 year
Amount expected after three years when compounded annually = A = £8000
Formula for Amount of compound interest annually is a follows
A = P( 1 + R/100)^n
In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get
8000 = x ( 1 + 5/100)^3
⇒8000 = x ( 105/100)^3
⇒8000 = x ( 21/20 )^3
⇒(8000 × 20 × 20 × 20)/(21×21×21) = x
⇒x = 6910.70≈6911
Solve this inequality:
-9 > 3b + 6
Answer:
- 5 > b
Step-by-step explanation:
- 9 > 3b + 6
- 9 - 6 > 3b
- 15 > 3b
Divide 3 on both sides,
- 5 > b
Answer:
-5 >b
Step-by-step explanation:
-9 > 3b + 6
Subtract 6 from each side
-9-6 > 3b + 6-6
-15 > 3b
Divide each side by 3
-15/3 > 3b/3
-5 >b
Write the equation of the line that contains the point (2,1) and is parallel to the line 4x−2y=3
Answer:
y=2x-3
Step-by-step explanation:
4x-2y=3
-2y=3-4x
2y=4x-3
y=4x/2-3/2
y=2x-1.5 m1=2 (the number near x)
If the searched line is parallel to the line 4x−2y=3, m1=m2= 2
y=m2x+b - the searched line
1=2*2+b
b=-3
y=2x-3
The times to complete an obstacle course is normally distributed with mean 87 seconds and standard deviation 7 seconds. What is the probability that a randomly selected finishing time is greater than 80 seconds? Use the empirical rule
The probability that a randomly selected finishing time is greater than 80 seconds is 0.84.
How to calculate the probability?Mean = 87
Standard deviation = 7
We convert this to standard normal as
P( X < x) = P( Z < x - Mean / SD)
Since, 80 = 87 - 7
80 is one standard deviation below the mean.
Using the empirical rule, about 68% of data falls between 1 standard deviation of the mean. So, 32% is outside the 1 standard deviation of the mean, and 16% is outside to either side.
We have to calculate P( X > 80) = ?
That is probability of all values excluding lower tail of the distribution.
P(X > 80) = 68% + 16%
= 84%
= 0.84
Learn more about probability on:
https://brainly.com/question/25870256
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Order 0.5, -0.2
, and 1/3 from least to greatest.
Answer:
-0.2, 1/3, 0.5
Step-by-step explanation:
A negative is a negative, making it the smallest answer. The 1/3 is 0.333 repeating, so that goes next and then theres 0.5!
power sharing helps the ruling party to retain power for a long time. tick or wrong