Answer: 10,000
Step-by-step explanation: 10 to the 2nd power or 10^2 is 100 so you multiply 100x100 which is 10,000
Answer:
10,000
Step-by-step explanation:
10^2*10^2
10^4=10,000
Show that the curve x = 7 cos(t), y = 5 sin(t) cos(t) has two tangents at (0, 0) and find their equations.
y = __________ (smaller slope)
y = __________ (larger slope)
The equations of the two tangents are; Larger slope; y = (5/7)x Smaller slope; y = (-5/7)x
What is the slope?Slope tells how vertical a line is.
The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.
To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.
This is because the more the height of the line to thee amount we walk or run on the horizontal axis, the more the slope is. Thats why we took difference of horizontal axis in denominator and difference of vertical axis on numerator.
The curve x = 7 cos(t), y = 5 sin(t) cos(t) has two tangents at (0, 0) and we need to find their equations.
We can write
cos(t) = x/7
so
y = 5(±√(1 -(x/7)^2)*x/7
Then
y' = (±5/7)*(√(1 -(x/7)^2) + x/(2√(1 -(x/7)^2)*(-2(x/7))
The limit as x → 0 is ±5/7
The equations of the two tangents are;
Larger slope; y = (5/7)x
Smaller slope; y = (-5/7)x
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The density of an object has the equation d = m/v. If an object has a mass of 20 g and a volume of 3.5 cm^3, what is its density?
Answer:
[tex]\Large \boxed{\mathrm{5.71 \ g/cm^3 }}[/tex]
Step-by-step explanation:
[tex]\sf \displaystyle density = \frac{mass}{volume}[/tex]
[tex]\displaystyle \rho = \frac{m}{V}[/tex]
[tex]\sf Mass \rightarrow 20 \ g \\ Volume \rightarrow 3.5 \ cm^3[/tex]
[tex]\displaystyle \rho = \frac{20}{3.5}[/tex]
[tex]\rho \approx 5.71[/tex]
Density is defined as the mass per unit volume of an object and It is calculated using the equation: density (d) = mass (m) / volume (v).
In this scenario, the mass of the object is given as 20 grams and the volume is given as 3.5 cm^3. To find the density, we can substitute these values into the equation: density =[tex]20 g / 3.5[/tex] cm^3 To simplify the unit of the measurement, we can convert cm^3 to mL (since 1 cm^3 is equal to 1 mL).
Thus, the equation becomes: density = [tex]20 g / 3.5[/tex] mL Calculating the division: density ≈ 5.71 g/mL Therefore, the density of the object is approximately 5.71 g/mL.
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Only a very small (<5) percentage of measurements can be more than 2 standard deviations from the mean of the normal distribution.
A. True
B. False
Answer:
A. True
Step-by-step explanation:
The empirical rule in statistics states that:
68% of the data will be within 1 standard deviation95% of the data will be within 2 standard deviations99.7% of the data will be within 3 standard deviationsSo yes, we can state that 5% or less of the data will be more than 2 standard deviations away from the mean. Of course, statistics is not 100% certain, so this rule is not 100% right all the time. Some exceptions might result, but generally speaking, the results should follow the empirical rule.
Answer:
The answer is true
Step-by-step explanation:
True
i need help bad and fast
Answer: E) CD
Step-by-step explanation:
A segment with a slope of 0 on this graph represents a time where no distance is made, or a break. The only segment with a slope of 0(where distance does not increase) is segment CD.
Hope it helps <3
Answer:
CD
Step-by-step explanation:
CD is the answer because the graph becomes a flat line when a body is at rest
Find the z-scores (two of them) that separate the middle 48% of the distribution from the area in the tails of the standard normal distribution.
Answer:
The z-scores are [tex]Z_{\frac{\alpha }{2} } = 0643[/tex] and [tex]Z_{\frac{\alpha }{2} } = - 0643[/tex]
Step-by-step explanation:
From the question we are told that
The middle of the distribution area considered is 48%
Now the rest of the area under the standard normal distribution area is mathematically evaluated
[tex]\alpha = 100- 48[/tex]
[tex]\alpha = 52 \%[/tex]
[tex]\alpha = 0.52[/tex]
Now to obtain the area occupied by this proportion at the two tails we divide by 2 i.e
[tex]\frac{\alpha }{2} = \frac{0.52}{2} =0.26[/tex]
Now the z-score is obtained from the normal distribution table and the value is
[tex]Z_{\frac{\alpha }{2} } \pm 0.643[/tex]
The [tex]\pm[/tex] shows that we are considering the two-talil
A sample of single persons in Towson, Texas, receiving Social Security payments revealed these monthly benefits: $426, $299, $290, $687, $480, $439, and $565. (a) What is the median monthly benefit? (b) Is the mean you computed in (a) a statistic or a parameter? Why?
Answer:
a) Median Monthly Benefit = $439
b) The mean computed above is a STATISTIC. This is because, the mean of their monthly benefits ($455.14) was calculated from a SAMPLE (which could have been known or random) of single persons in Towson Texas.
Step-by-step explanation:
In the above question, we are given:
: $426, $299, $290, $687, $480, $439, and $565.
a) Median Monthly benefits
First we arrange the monthly benefits from the lowest to the highest
$290, $299, $426, $439, $480, $565, $687
Median Monthly Benefit is the number found in the middle of the Monthly benefits.
We were given 7 monthly benefit
$290, $299, $426,) $439, ($480, $565, $687
The median monthly benefit = $439
(b) Is the mean you computed in (a) a statistic or a parameter? Why?
The Mean Monthly Benefit = Sum of terms/Number of terms
Number of terms = 7
($290 + $299 + $426 + $439 + $480 + $565 + $687)/ 7
= $3186/7
= $455.14285714286
Approximately ≈$455.14
In the question we are asked if the Mean calculated or computed above is a Statistic or a Parameter.
The mean computed above is a STATISTIC. This is because, the mean of their monthly benefits ($455.14) was calculated from a SAMPLE (which could have been known or random) of single persons in Towson Texas.
24a + 72b - 40c what’s the answer can somebody help me I’m confused
Answer:
8⋅(3a+9b−5c)
Step-by-step explanation:
The equation in a simple form by using the greatest common factor is
8 ( 3a + 9b -5c ).
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The greatest common factor is the largest positive number which can be divided into given numbers evenly.
The expression will be simplified as below:-
E = 24a + 72b - 40c
Take the number 8 common from the expression.
E = 8 ( 3a + 9b -5c ).
Therefore, the equation in a simple form by using the greatest common factor is 8 ( 3a + 9b -5c ).
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Bank A charges $30 monthly fee for a check account bank B charges $15 a month How much would Keiko pay at each bank each month
Answer:
Keiko would pay $30 a month at bank A.
Keiko would pay $15 a month at bank B.
Both bank A and bank B combined would be $45 a month.
Step-by-step explanation:
Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
Twice the difference of a number and 8.
Answer:
2(x - 8)
Step-by-step explanation:
A researcher performs an experiment to test a hypothesis that involves the nutrients niacin and retinol. She feeds one group of laboratory rats a daily diet of precisely 41.59 units of niacin and 17,995 units of retinol. She uses two types of commercial pellet foods. Food A contains 0.22 unit of niacin and 100 units of retinol per gram. Food B contains 0.23 unit of niacin and 65 units of retinol per gram. How many grams of each food does she feed this group of rats each day
Answer:
Food A = 165 grams
Food B = 23 grams
Step-by-step explanation:
Daily precise diet fed to the group:
Niacin = 41.59 units
Retinol = 17,995 units
Two food types :
Food A :
Niacin = 0.22 units per gram
Retinol = 100 units per gram
Food B:
Niacin = 0.23 units per gram
Retinol = 65 units per gram
Let:
a = gram of food A fed per day
b = gram of food B fed per day
Hence in 'a' grams of food A:
0.22a of Niacin + 100a of Retinol
In 'b' grams of food B:
0.23b of Niacin + 65b of retinol
Recall :
Total Niacin = 41.59 ; total Retinol = 17995
Then,
0.22a + 0.23b = 41.59 - - - (1)
100a + 65b = 17995 - - - (2)
From (2) ; 100a + 65b = 17995
100a = 17995 - 65b
a = 179.95 - 0.65b - - - (3)
Substitute (3) into (1)
0.22(179.95 - 0.65b) + 0.23b = 41.59
39.589 - 0.143b + 0.23b = 41.59
0.087b = 2.001
b = 2.001 / 0.087
b = 23
Put b = 23 in (3)
a = 179.95 - 0.65(23)
a = 179.95 - 14.95
a = 165
2. The cost of a pair of jeans was changed from $52 to $47.82. What was the percent change?
8% decrease
9% increase
9% decrease
8% increase
Answer:
I Think its 8% decrease
Answer:
The answer is
8% decreaseStep-by-step explanation:
To find the percentage change we use the formula
[tex]Percentage \: \: change = \frac{change}{original \: quantity} \times 100[/tex]
To find the change subtract the lesser one from the larger one
Original price = $ 52
Current price = $ 47.82
Change = 52 - 47.82 = $ 4.18
Substitute the values into the above formula
Percentage change is
[tex] \frac{4.18}{52} \times 100[/tex]
We have the final answer as
Percentage change = 8%
Since the current price was lesser than the original price there is a percentage decrease in the amount
Use the given data to find the minimum sample size required to estimate a population proportion or percentage.
Margin of error 0.03: confidence level 95%; and unknown
Answer:
1067
Explanation:
The formula that will be used to calculate the sample size if population proportion isn't given is expressed as;
Sample size n = |Z|² × 0.25/E² where;
Z is the z-score at 95% confidence
E is the margin of error
Given parameters
Z score at 95% confidence interval = 1.96
E = 0.03
Substituting the given values into the formula to get the sample size n we will have;
n = 1.96²×0.25/0.03²
n = 3.8416×0.25/0.0009
n = 0.9604/0.0009
n = 1067.11
n ≈ 1067
Hence, the minimum sample size required to estimate a population proportion is approximately 1067
PLEASE HELP MEEE
Simplify the expression to a polynomial in standard form
(x+3)(2x2+3x+7)
Answer:
2x^3 + 9x^2 + 16x + 21.
Step-by-step explanation:
We first multiply the expression in the second parentheses by x , then by +3:
(x + 3)(2x^2 + 3x + 7)
= x(2x^2 + 3x + 7) + 3(2x^2 + 3x + 7)
= 2x^3 + 3x^2 + 7x + 6x^2 + 9x + 21 Now we add like terms:
= 2x^3 + 9x^2 + 16x + 21.
Write an equation parallel to the line y=3/2x-2 that goes through (5,1) in point slope form.
Answer: y=3/2x-13/2
Step-by-step explanation:
concept to know: two parallel lines have the same slope
y=3/2x+b
in order to find b or the y-intercept, we plug the point in
y=3/2x+b
1=3/2(5)+b
1=15/2+b
b=-13/2
----------------------------
y=3/2x-13/2
Hope this helps!! :)
What percent of 175 is 7?
Answer:
12.25
7 percent of 175 = 12.25
(example attached below)
suppose a certain brand of smoke detector functions properly 85 percent of the time. i installed 3 of thse in my room, what is probability that at least one of the three smoke detectors functions propoerly
Answer:
The probability that at least one of the three smoke detectors functions properly = 0.996625
Step-by-step explanation:
Given that:
a certain brand of smoke detector functions properly 85 percent of the time
Let X represent the certain brand of smoke detector
X = 85%
X = 0.85
Let the probability that at least one of the three smoke detectors functions properly be P(Y)
P(Y) = 1- (1 - X)³
P(Y) =1 - (1 - 0.85)³
P(Y) = 1 - 0.003375
P(Y) = 0.996625
∴
The probability that at least one of the three smoke detectors functions properly = 0.996625
c+2c+12=75 find the value of c
Answer:
c+2c+12=75
c = 21
Steps:
c+2c+12=75
Simplify both sides of the equation.
c+2c+12=75
(c+2c)+(12)=75(Combine Like Terms)
3c+12=75
3c+12=75
Subtract 12 from both sides.
3c+12−12=75−12
3c=63
Divide both sides by 3.
A refrigerator is priced at 525.50 there is a 7% sales tax rate
Answer:
562.29
Step-by-step explanation:
you would just multiply 525.50 by 7 which is 3678.5 and divide that by 100 which is 36.785 and add that to 525.50 which is 562.285 which can be rounded to 562.29
4x+y=10
( ,-6)
find the x value
please hellllpppp !!
Answer:
x=4
Step-by-step explanation:
4x+y=10
y=-6
4x-6=10
4x=16
x=4
(4,-6)
How do i write 2.200 (in decimals) into word form. Explain pls
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Two Thousand Two Hundred
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Answer:
Two and Two Tenths.
Step-by-step explanation:
The whole number if you were to just say it is two, so you have that part, but then for the decimals, the zeros don't really matter you can take them off and you have the same number ( but only if there is nothing after the zeros) so now you are left with 2.2 and the first decimal spot is the tenths so the wording for this would Two and Two Tenths.
The deepest ocean depth is 35 , 840 feet, found in the Pacific Ocean's Mariana Trench. The tallest mountain is Mount Everest, with a height of 29 , 028 . What is the difference between the highest point on Earth and the lowest point on Earth?
Answer:
64868 feet
Step-by-step explanation:
The deepest point as a negative 35,840 feet mark
The tallest point has a positive 29,028 feet mark
The difference between them:
29,028 - (-35,840) = 64,868 feetAnswer is 64,868 feet
f(x)=x2–5x+7, find f(3)
Answer:
1
Step-by-step explanation:
Hello!
To find f(3) we put 3 in for x
[tex]3^{2} -5(3)+7[/tex]
Follow PEMDAS
9 - 5(3) + 7
9 - 15 + 7
-6 + 7 = 1
The answer is 1
Hope this helps!
Answer:
f(3) = 1
Step-by-step explanation:
f(x) = x^2 – 5x + 7
f(3) = 3^2 - 5(3) + 7
f(3) = 9 - 15 + 7
f(3) = -6 + 7
f(3) = 1
On three science tests, Olivia has received scores of 89%, 98%, and 96%. What is the lowest score Olivia can get on her fourth and final science test to achieve an average score of 95%?
a
94%
b
97%
c
96%
d
95%
Answer:
97%
Step-by-step explanation:
Average = x1 + x2 + x3 + x4 + x5 ........ + xN
------------------------------------------
N
N = total numbers
=> (89 + 98 + 96 + x) / 4 = 95
=> (283 + x) /4 = 95
=> (283+ x) / 4 * 4 = 95 * 4
=> 283 + x = 380
=> 283 -283 + x = 380 - 283
=> x = 97
I divided the sum of all numbers by 4 we are adding 4 numbers.
So, she needs to get 97% in the last test in order to have an average score of 95%
Are the points B, F, and W coplanar?
Answer:
yes
Step-by-step explanation:
Because the point lie on the plane they are coplanar
what is the biggest galaxy in the universe
Pleasee help multiple choice whoever gets it correct gets brainlest
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{j = 6}}}}[/tex]Option D is the correct option
Step-by-step explanation:
[tex] \sf{(5 + 3)j = 48}[/tex]
Distribute j through the parentheses
⇒[tex] \sf{5j + 3j = 48}[/tex]
Collect like terms
⇒[tex] \sf{8j = 48}[/tex]
Divide both sides of the equation by 8
⇒[tex] \sf{ \frac{8j}{8} = \frac{48}{8} }[/tex]
Calculate
⇒[tex] \sf{j = 6}[/tex]
Hope I helped!
Best regards!!
Complete the following sentence. The coefficient of determination between the dependent variable, TEST SCORE, and the independent variable, HOURS SPENT STUDYING, equals 043. This means that:_________.
a. variation in the variable, HOURS SPENT STUDYING explains 43% of the variation in the variable. TEST SCORE
b. variation in the variable, TEST SCORE, explains 43% of the variation in the variable, HOURS SPENT STUDYING
c. the correlation between HOURS SPENT STUDYING and TEST SCORE equals 0.43
d. the correlation between HOURS SPENT STUDYING and TEST SCORE equals 0.57,
Answer: a. variation in the variable, HOURS SPENT STUDYING explains 43% of the variation in the variable. TEST SCORE
Step-by-step explanation:
The coefficient of determination is denoted by R square is the proportion of the variance in the dependent variable that is predictable from the independent variable.
Given: dependent variable = TEST SCORE
independent variable = HOURS SPENT STUDYING
coefficient of determination = 0.43
That means variation in the variable, HOURS SPENT STUDYING explains 43% of the variation in the variable. TEST SCORE.
Hence, the correct option is a.
In a survey of 200 game lovers,it was found that 130 liked football, 90 liked cricket, and 20 didn't like both games.i) How many people were there who liked both football as well as cricket? ii)How many people like only cricket? A. 30,60 B. 40,50 C. 50,40
Step-by-step explanation:
Hey, there!!
Your required answer is:
i). = 40
ii). = 90
See explanation in picture..
Here, no(F) represents no. of people who just like football. and n (F intersection C) represents who like both games.
Hope it helps...
For parts a through f., A denotes an mxn matrix. Determine whether each statement is true or false. Justify each answer. a. A null space is a vector space. Is this statement true or false?
A. True because the null space of an mx n matrix A is a subspace of Rm
B. False, a column space is a vector space, but a null space is not a vector space
C. False, a vector space is a null space, but a null space is not necessarily a vector space
D. True because the null space of an mxn matrix A is a subspace of Rn
Answer:
D. True because the null space of an m x n matrix A is a subspace of [tex]$R^n$[/tex]
Step-by-step explanation:
A null space is also the vector space.
We know that a null set satisfies the following properties of a vector space.
Now let [tex]$x,y \in Null (A), \alpha \in IR$[/tex] , then
[tex]A[\alpha x+y] = \alpha A(x)+ A(y) = \alpha . 0 + 0 = 0$[/tex]
Thus, [tex]$ \alpha x+y \in Null (A)$[/tex]
Hence, option (d) is true.
Hello. There is 2 questions in the links below if you could solve them that would be awesome!