Answer:
4 61/90
Step-by-step explanation:
6 - 2 = 4
9 / 10 - 2 / 9 = 61 / 90
1.What values could replace the "?" in these equations to make them true?
2. How would you explain to a friend who doesn't know about logarithms what the equation
LaTeX: \log_{10}x\:=\:y
log
10
x
=
y
says about x and y?
Answer:
Remember that logarithms are inverse of exponentials. That means the result of the logarithm is equal to the exponent of a power with the same base.
1. (a)[tex]log_{10} (10)=1[/tex]
Notice that the result is one beacuse [tex]10^{1}=10[/tex]
(b)[tex]log_{10}(10000)=4[/tex]
Because [tex]10^{4}=10000[/tex]
(c)[tex]log_{10}(?) =7 \implies 10^{7} =10000000[/tex]
So, [tex]log_{10}(10000000)=7[/tex]
2.I would say to thim that [tex]x[/tex] and [tex]y[/tex] are variables of the logarithm, which be solved by imagine the logarithm as an exponential like
[tex]log_{10} (x)=y \implies 10^{y}=x[/tex]
In other words, the [tex]y[/tex] is the exponent and the [tex]x[/tex] is the result of the exponential.
Write the correct order of letter to the finish line. HELP ITS URGENT and btw it’s not L
Answer:
M
hope this helps
Answer:3rd row (abcg) skip a line h
Step-by-step explanation:
One hundred examiners each marking eighty scripts per day are needed to mark an examination in fourteen days.How many days would two hundred examiners each marking forty scripts per day take to mark the same examination?
Answer:
SOS
Step-by-step explanation:
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no later than 12 October for a November
series, 9 November for a January series and 30 March for a June series.
An engineer wants to determine how the weight of a​ gas-powered car,​ x, affects gas​ mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts​ (a) through​ (d) below.Weight (pounds), x Miles per Gallon, y3648 163847 172709 253550 183286 202922 233654 172533 253427 183809 173372 19A) Find the​ least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.y with caret = ___x + ___(Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as​ needed.)B) Interpret the slope and​ y-intercept, if appropriate.C) A certain? gas-powered car weighs 3600 pounds and gets 20 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this? weight?D) Would it be reasonable to use the​ least-squares regression line to predict the miles per gallon of a hybrid gas and electric​ car? Why or why​ not?
Answer:
Step-by-step explanation:
Given the following data :
(Weight, miles per gallon) (x, y) = 3648, 19), (1638, 47), (1727, 09), (2535, 50), (1832, 86), (2029, 22), (2336, 54), (1725, 33), (2534, 27), (1838, 09), (1733, 72)
Using the least square regression calculator :
y = -0.00941x + 59.07
B) slope = -0.00941
The slope 'm' of the graphical relationship is -0.009406
Intercept = 59.07 ( where the regression line crosses the x-axis)
C.) Using the regression equation:
y = -0.00941(3600) + 59.07
y = 25.194 gallons (above)
D.) No, because other factors also contribute to gas mileage such as cylinders, Displacement, mdoel e. T. C
2 sin^2 + sin x - 3 = 0
Answer:
x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
Step-by-step explanation:
Solve for x:
-3 + sin(x) + 2 sin^2(x) = 0
The left hand side factors into a product with two terms:
(sin(x) - 1) (2 sin(x) + 3) = 0
Split into two equations:
sin(x) - 1 = 0 or 2 sin(x) + 3 = 0
Add 1 to both sides:
sin(x) = 1 or 2 sin(x) + 3 = 0
Take the inverse sine of both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) + 3 = 0
Subtract 3 from both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) = -3
Divide both sides by 2:
x = 2 π n_1 + π/2 for n_1 element Z
or sin(x) = -3/2
Take the inverse sine of both sides:
Answer: x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
Which figure has a greater area?
19 ft
16.4 ft
.
15 ft
16.1 ft
Answer:
green triangle
Step-by-step explanation:
The green triangle has an area of
A = 1/2 bh
A = 1/2 (15) * 19
A =142.5 ft^2
The blue triangle has an area of
A = 1/2 bh
A = 1/2(16.1) (16.4)
A =132.02 ft^2
The green triangle has a greater area
Determine the slope of the line that passes through the points: x−8,0,4,5,y,−33,−1,15,19
Answer:
The equation of a line y = ax + b passes point (-8, -33) and point (0, -1) can be formulated by:
(Note: we do not need all of 4 points, 2 points are enough)
-33 = a x (-8) + b
-1 = a x 0 + b
From 2nd equation, we have:
b = -1
From 1st equation, we have:
b - 8 x a = -33
=> -1 - 8 x a = -33
=> 8 x a = 32
=> a = 4
=> The equation of line: y = 4a - 1
Hope this helps!
:)
What will the horizontal axis represent?
Sin2x + cos3x expand the expression
Step-by-step explanation:
Use double and triple angle identities:
sin(2x) + cos(3x)
2 sin x cos x + 4 cos³x − 3 cos x
calculo la superficie de las figuras sabiendo que cada cuadrado mide 5m2
I need more help (: sorry
Answer:
Converse: If I passed, then I studied.
Inverse: If I don't study, then I will not pass
Contrapositive: If I didn't pass, then I didn't study.
Step-by-step explanation:
What is the discount for a iPod that’s $75 dollars but labeled “ save 15% “
Discount = [tex]\frac{15}{100}[/tex] x 75
= [tex]\frac{1125}{100}[/tex]
= $11.25
Example 3
Question:
The perimeter of a rectangular swimming pool is 150 feet. The length is 15 feet more than the width. Find the length and width.
THE WIDTH=67.5 feet & LENGTH=67.5+15=82.5 feet
What is perimeter of a rectangle?Perimeter of a rectangle (A) is the 2× sum of of its length (l) and width (w).
A=2(l+ w)
Here, given that,
Perimeter=150 feet
Let, width be x
then, length be x +15
ATQ
x+x+15=150
2x+15=150
2x=150-15
2x=135
x=135/2
x=67.5 feet
Then:
WIDTH=67.5 feet
LENGTH=67.5+15
=82.5 feet
To learn more on Perimeter of rectangle click:
brainly.com/question/20693059
#SPJ2
Question 5 (20 points)
A six-sided number cube is rolled twice.
What is the probability that the first roll is an even number and the second roll is a number greater than 4?
5
6
2
3
Ос
1
6
1
3
Saved at 1:47 pm
Review Answers
Answer:
2 the probability would be2/5 because of the two dice
Answer:
6
Step-by-step explanation:
6/12 simpify 1/2
what does the pythagorean theorem and it’s Converse state? why is this theorem important? what are some real world examples in which this theorem is used?
Answer:
The converse of the Pythagorean Theorem states that: If the square of the longest side of the triangle is equal to the sum of the squares of the other two sides of the triangle, then the triangle is a right triangle.
Step-by-step explanation:
What are the solutions to this equation?
Answer:
It would be (1) 5/4 and -5
4x^2+15x-25+0
Answer: (1) 5/4 and -5
I had this in school and i got this right
Hope i helped
have a nice day
A bottling plant fills one-gallon jugs with milk. The labels on the jugs state that the volume of milk they contain is 128 fluid ounces (fl. oz.). Federal law mandates that the jugs must contain no less than the stated volume. The actual volume of milk in the jugs is normally distributed with mean μ=129 fl. oz. and standard deviation σ=0.8 fl. oz. Plant workers take a simple random sample (SRS) of 8 jugs, measure the volume of milk in each jug, and calculate the sample mean.
Use this information to answer questions1. What is the shape of the distribution of sample means?A. Skewed rightB. NormalC. Skewed left2. Calculate the mean of the distribution of sample means. Round your answer to the nearest whole number. 3. Calculate the standard deviation of the distribution of sample means. Round to three decimal places4. If plant workers sampled 100 jugs instead of 8, which one of the following changes in the distribution of means would they see?A. The mean would decrease.B. The standard deviation would increase.C. The standard deviation would decrease.D. The sample means would be uniformly distributed.
Answer:
(1) The correct option is (B).
(2) The mean of the distribution of sample means is 19 fl. oz.
(3) The standard deviation of the distribution of sample means is 0.283 fl. oz.
(4) The correct option is (C).
Step-by-step explanation:
According to the Central Limit Theorem if we have a normal population with mean μ and standard deviation σ and a number of random samples are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
The mean of the sampling distribution of sample mean will be:
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sampling distribution of sample mean will be:
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
The information provided is:
μ = 129
σ = 0.80
n = 8
(1)
The shape of the sampling distribution of sample mean will be Normal.
This is because the population from which the sample is selected is normal.
The correct option is (B).
(2)
Compute the mean of the distribution of sample means as follows:
[tex]\mu_{\bar x}=\mu[/tex]
[tex]=129[/tex]
Thus, the mean of the distribution of sample means is 19 fl. oz.
(3)
Compute the standard deviation of the distribution of sample means as follows:
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
[tex]=\frac{0.80}{\sqrt{8}}\\\\=0.282843\\\\\approx 0.283[/tex]
Thus, the standard deviation of the distribution of sample means is 0.283 fl. oz.
(4)
Any change in the sample size will have no effect on the mean of the distribution of sample means.
But, if the sample is increased or decreased than the standard deviation will be decreased or increased respectively.
This is because the standard deviation of the distribution of sample means is inversely proportional to the sample size.
So, for n = 100 the standard deviation is:
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
[tex]=\frac{0.80}{\sqrt{10}}\\\\=0.282843\\\\\approx 0.08[/tex]
Thus, the standard deviation was decreased.
The correct option is (C).
Using the Central Limit Theorem, it is found that:
1. B. Normal.
2. The mean is of 129 fl. oz.
3. The standard deviation is of 0.283.
4. C. The standard deviation would decrease.
Central Limit TheoremThe Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n is approximately normal with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.Item a:
The underlying distribution is normal, hence the distribution is normal and option B is correct.Item b:
The mean of the population is of 129 fl. oz, hence it is the same for the distribution of sample means.Item c:
The population standard deviation is of [tex]\sigma = 0.8[/tex].A sample of size 8 is taken, hence [tex]n = 8[/tex].Then:
[tex]s = \frac{0.8}{\sqrt{8}} = 0.283[/tex]
Item d:
The standard deviation is inversely proportional to the square root of the sample size, hence it would decrease, and option C is correct.
To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/24663213
The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of 8 cm/s. When the length is 8 cm and the width is 5 cm, how fast is the area of the rectangle increasing?
Answer:
Step-by-step explanation:
[tex]A = lw \nl\frac{\dA}{\dt}[/tex] =[tex]\frac{\dA}{\text{d}l}\frac{\text{d}l}{\dt} + \frac{\dA}{\text{d}w}\frac{\text{d}w}{\dt}[/tex] =[tex]w\frac{\text{d}l}{\dt} + l\frac{\text{d}w}{\dt}[/tex] [tex]\nll = 20 \text{ cm}[/tex] \;\; [tex]\frac{\text{d}l}{\dt} = 8 \text{ cm/s}[/tex] \;\;w = 10 \text{ cm}, \;\; [tex]]\frac{\text{d}w}{\dt} = 3 \text{ cm/s}[/tex] [tex]\nl\frac{\dA}{\dt} =( 10 \text{ cm} )( 8 \text{ cm/s} ) + ( 20 \text{ cm} )( 3 \text{ cm/s} ) =140 \text{ cm}^2\!\text{/s} [/tex]
Given :
The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of 8 cm/s. When the length is 8 cm and the width is 5 cm .To find :-
how fast is the area of the rectangle increasing?Solution :-
As we know that :-
A = lbTo find the rate :-
d(A)/dt = d(lb)/dt .Differenciate :-
dA/dt = l (db/dt ) + b (dl/dt )Substitute :-
dA/dt = 8*8 + 5*4dA/dt = 64 + 20 cm²/s dA/dt = 84 cm²/sWhat would you do to find the arc length around 5/8 of a circle?
Answer:
5/8 * 2 * pi *r
Step-by-step explanation:
First find the circumference of the circle
C = 2 * pi *r
Then multiply it by the fraction of the circle ( arc length) you wish to find
5/8 * 2 * pi *r
Lynn has two jobs. She earns $7.50 per hour as the hostess for a restaurant and earns
$10 per hour babysitting for a neighbor.
Part 1
Which inequality represents the number of hours working as a hostess, h, and the
number of hours babysitting, b, that Lynn needs in order to earn at least $150 in one
week?
A. h + b > $150
B. h + b 2 $150
7.5h + 10b > $150
• D
7.5h + 10b $150
e here to search
Answer:
7.5h + 10b > $150
Step-by-step explanation:
h represents the amount of hours Lynn works as a hostess for a restaurant, and she gets $7.50 per hour. $7.50h is how much money she gets per hour. b represents the amount of hours Lynn spends working as a babysitter, and she gets $10 per hour. $10b is how much money she gets from babysitting per hour. The total amount of money she gets this week must be more than $150. So the answer is 7.5h + 10b > $150. Hope this helped!
If y=sin2x+cos2x then dy/dx
2(cos2x - sin2x)
Step-by-step explanation:
Y = sin2x + cos2x
Differentiate wrt x
dy/dx = cos2x . 2 - sin2x . 2
= 2(cos2x - sin2x)
Which type of quadrilatera can have exactly 1 pair of parallel side
A rectangle
B rhombus
C square
D trapezoid
6)
A flat object with two sides, one colored red (R), the other green (G), is tossed 2 times. List all possible outcomes of the experiment.
Answer:
3 possible outcomes
Step-by-step explanation
1) R R
2) R G
3) G G
Carl pays $45 per month for car insurance. How much does he spend on car insurance in 1 year?
Answer:
He spends $540
Step-by-step explanation:
literally just 45 multiplied by 12
Hints- A net is folded at shared edges. Visualize the folding of each shared edge to meet an opposite edge. PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEDEEEEEEEEEEE answer ASAP! I don’t have much time.
Answer:
The net folds into a cube
Step-by-step explanation:
* The net folds into a cube *
How can we guess? Well here all the surfaces of this 3-dimensional figure are squares, provided the dimensions of each surface are congruent, all being 2 inches. In addition, if we were to fold each of these squares on the net on the appropriate lines, we could imagine it to be a cube, perfectly fit to be as well!
I think of a number and I add one and then I double it
Answer:
I think of a number "4"
4+1 = 5
then 5+5 or (5X2) = 10
Step-by-step explanation:
Hope this helped :)
PLEASE HELP
Sara and Sam are each working on a science project in which they need to research the individual masses of the nine planets (including the dwarf planet Pluto as the ninth planet). Sara completes her data for the planets' masses in kilograms while Sam's data is in milligrams.
Sara:
Approximate how many times greater Saturn's mass is than Mercury's.
A: 2,000,000
B: 200,000
C: 20,000
D: 2,000
please help with this
Answer:
10x^2 -4x +6
Step-by-step explanation:
The area of the blue square is
2* 5x^2 = 10x^2
The area of the pink square is
2 * -2x = -4x
The area of the green square is
2 *3 = 6
Add it all together
10x^2 -4x +6
What’s the correct answer for this?
Same slopes, different constant, so parallel lines.
Answer: ... parallel because their slopes are equal. Last choice.
Answer:
D
Step-by-step explanation:
Yes, lines l and k are parallel since they are having equal slopes
Find x when
-1/2
+
X
=
-21/4
Answer:
-19/4
Step-by-step explanation:
-1/2 + x =-21/4
x=-21/4+1/2
x=-21/4+2/4
x=-19/4