Answer:
I believe the answer is false
Answer:
√35 = 5.9
2π =6.3
since 6.3 is greater than 5.9, it is false
Eric jogged 3 1/4 on Mon, 5 5/8 >; Tues and 8 miles on Wed. Suppose he continues this pattern for the remainder of the week. how far will Eric jog on Fri?
Sequences
The distance in miles jogged by Eric in the week are shown below:
Mon: 3 1/4
Tue: 5 5/8
Wed: 8
The distances form a pattern which we will recognize below.
Let's compute the differences in the distance of each day with respect to the previous day:
\(r=5\frac{5}{8}-3\frac{1}{4}\)Converting each mixed fraction into improper fractions:
\(r=(5+\frac{5}{8})-(3+\frac{1}{4})=\frac{45}{8}-\frac{13}{4}\)The LCM of the denominators is 8, thus:
\(r=\frac{45}{8}-\frac{13}{4}=\frac{45}{8}-\frac{26}{8}=\frac{19}{8}\)Now we find the same difference between the third and the fourth terms of the sequence:
\(r=8-\frac{45}{8}=\frac{64-45}{8}=\frac{19}{8}\)Since both differences have the same value, the terms of the distances jogged by Eric form an arithmetic sequence. The general term of an arithmetic sequence is:
\(a_n=a_1+(n-1)\cdot r\)Where a1 is the first term, n is the number of the term, and r is the common difference.
We have the values a1=3 1/4= 13/4. r=19/8, thus the distance jogged by Eric on Friday (n=5) is:
\(a_5=\frac{13}{4}+(5-1)\cdot\frac{19}{8}\)Calculating:
\(a_5=\frac{13}{4}+4\cdot\frac{19}{8}=\frac{13}{4}+\frac{19}{2}\)The LCM of 2 and 4 is 4, thus:
\(a_5=\frac{13}{4}+\frac{38}{4}=\frac{51}{4}\)Converting to mixed fraction:
\(a_5=\frac{51}{4}=\frac{48+3}{4}=12+\frac{3}{4}=12\frac{3}{4}\)Eric jogged 12 3/4 miles on Friday
Find the equation of the line that passes through the points:
(-2, 4) and (1, 10)
Answer:y=2x+8
Step-by-step explanation:
based on the computer output above, which of the statements below is false? responses the price of the vehicle would be predicted to decrease by approximately $81.00 for every 500 miles driven. the price of the vehicle would be predicted to decrease by approximately $81.00 for every 500 miles driven. the price-intercept has a logical interpretation in context, as $38,257 would be the price of a vehicle that was new (had never been driven). the , price, -intercept has a logical interpretation in context, as $38,257 would be the price of a vehicle that was new (had never been driven). 66.4% of the variability in vehicle price is explained by the number of miles the vehicle is driven. 66.4% of the variability in vehicle price is explained by the number of miles the vehicle is driven. the correlation coefficient is r
The statement that is false is about the meaning of the intercept value in a linear regression model. The intercept value represents the predicted value of the response variable (in this case, vehicle price) when the predictor variable(s) (in this case, number of miles driven) is zero.
the intercept value of $38,257 represents the predicted price of a vehicle that has never been driven any miles. In a linear regression model, the intercept value is the predicted value of the response variable (vehicle price) when the predictor variable is zero.
So, the intercept value of $38,257 means that if a vehicle has never been driven any miles, then its predicted price is $38,257.Therefore, the intercept value of $38,257 represents the predicted price of a vehicle that has never been driven any miles.
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Solve 12 (10x + 3 -8y)
Answer:
120x - 96y + 32
Step-by-step explanation:
12 (10x + 3 -8y)
We use the distributive property to solve
120x - 96y + 32
One of the most important when writing the order of an equation is always written the number with the variable first; that is why the answer is
120x - 96y + 32
A train travels at 110 miles per hour. At this rate, how far will the train travel in 2 1/2 hours?110/1 (fraction) x 2 1/2 (mix number)
Answer:
275 mi
Step-by-step explanation:
110 mi/hr × 2½ hr
Convert the mixed number to an improper fraction.
110 mi/hr × ⁵/₂ hr
Multiply the numbers.
⁵⁵⁰/₂ mi
275 mi
I need answer immediately pls!!!!!!!
Let be a binominal random variable with =9 and p=0.2. What is the probability of four successes; that is, P(=4)?
The probability of four successes in this binomial distribution is 0.2668, or approximately 26.68%. This means that if we conduct 9 trials with a 20% chance of success on each trial, we would expect to get exactly 4 successes with a probability of 0.2668.
To find the probability of four successes in a binomial random variable, we use the formula for the probability mass function (PMF) of a binomial distribution:
P(X=k) = (n choose k) * \(p^k\) * (1-p)\(^(n-k)\)
where n is the number of trials, p is the probability of success on each trial, k is the number of successes, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.
In this case, we have n = 9, p = 0.2, and k = 4. So, we can plug these values into the formula:
P(X=4) = (9 choose 4) * 0.\(2^4\) * (1-0.2)\(^(9-4)\)
= (126) * 0.\(2^4\) * 0\(.8^5\)
= 0.2668
Therefore, the probability of four successes in this binomial distribution is 0.2668, or approximately 26.68%. This means that if we conduct 9 trials with a 20% chance of success on each trial, we would expect to get exactly 4 successes with a probability of 0.2668.
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What is a disadvantage of electron microscopes compared to light microscopes?
They do not have a very high power of resolution.
They cannot be used to view live specimens.
They can only be used by doctors.
They can only see surface details.
A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. Therefore, option B is the correct answer.
A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. This is because the electron microscope requires a vacuum environment to function properly, which would kill any live specimen. Additionally, electron microscopes can only see surface details and do not have a very high power of resolution. Lastly, electron microscopes can only be used by doctors or trained technicians, so they are not as widely available as light microscopes.
Therefore, option B is the correct answer.
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A disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens (option b). Electron microscopes use a beam of electrons to create an image, which requires a vacuum environment. This means that living organisms cannot survive in the vacuum and therefore cannot be observed with electron microscopes.
I hope this helped! :)
∠4 and ∠6 can be classified as:
Answer:
same side interior angles
Step-by-step explanation:
<4 and <6 are same side interior angles
Same side interior angles are on the same side of the transversal and inbetween the two lines
Kacey spends 30 minutes studying for her math and history tests. She spends twice as long studying math as studying history. How much time does she spend on each subject?
Answer: 20 mins math & 10 mins history
Step-by-step explanation:
if the work required to stretch a spring 1 ft beyond its natural length is 15 ft-lb, how much work is needed to stretch it 6 in. beyond its natural length?
To stretch a spring 1 ft. from its natural length, a 15 ft-lb work is needed. To stretch a spring 6 in. from its natural length, the required work is 3.75 ft-lb
The work done on a spring is given by the formula:
W = 1/2 . kx²
Where:
k = spring constant
x = spring displacement
From the formula, we know that the work is directly proportional to the square of displacement, or mathematically:
W ∝ x²
Therefore,
W₁ : W₂ = x₁² : x₂²
Data from the problem
W₁ = 15 ft-lb
x₁ = 1 ft
x₂ = 6 in. = 0.5 ft
Hence,
15 : W₂ = 1² : 0.5²
W₂ = 0.25 x 15 = 3.75 ft-lb
Hence, the required work to stretch the spring 6 in beyond its natural length is 3.75 ft-lb
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.4
Similar triangles JKL and NOP, with dimensions in centimeters (cm), are shown.
+
4 cm
K 4 cm
2 cm
J 4 cm
N
What is the length, in centimeters, of side OP?
PLEASE HURRY JDJDJDJNDND
The length in centimeters of side OP is 8.
Properties of similar triangles.A triangle is a plane figure which is bounded by three straight sides, and has a sum of its internal angle to be 180^o.
Two or more triangles can be referred to as similar if the corresponding sides and measure of corresponding internal angles have some common properties on comparison.
Thus on comparing the corresponding sides of the two given similar triangles, we have;
JK/ ON = KL/ OP
2/ 4 = 4/ OP
2OP = 4*4
= 16
OP = 16/ 2
= 8
OP = 8 cm
Therefore, the length of side OP is 8 cm.
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The top of the silo is a hemisphere with a radius of 12 ft. The bottom of the silo is a cylinder with a height of 40 ft. How many cubic feet of grain can the silo hold?
Use 3.14 for pi.
Enter your answer in the box. Round only your final answer to the nearest cubic foot.
PLEASE HELP ME AND I WILL GIVE BRAINLIEST AND TONS OF POINTS.
Answer:
21,704
Step-by-step explanation:
Find the volume of both the top of the silo (hemisphere) and the end bit of the silo (cylinder)
V = \(\frac{2}{3}\) \(\pi\)\(r^{3}\) is the formula for finding the volume of a hemisphere
V = \(\pi\)\(r^{2}\)h is the formula for finding the volume of a cylinder
Let's find the hemisphere first.
We're using 3.14 for pi, so the equation would look like this
V = \(\frac{2}{3}\) x 3.14 x \(12^{3}\)
V = \(\frac{2}{3}\) x 3.14 x 1728
V = 3617.28 \(ft^{3}\)
Now let's find the volume of the cylinder.
V = 3.14 x \(12^{2}\) x 40
V = 3.14 x 144 x 40
V = 18,086.4 \(ft^{3}\)
Last, you add both volumes together.
3617.28 + 18,086.4 = 21,703.68
Round it to make it 21,704.
The total number of cubic feet of grain or volume of the grain that the silo can hold is 28947.41 .
What is the volume of an object?The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
Given that the top of a silo is a hemisphere
Radius(r) = 12 ft.
Then, the volume of a hemisphere is,
V = 2/3πr³
V = 2/3 x 3.14 x 12³
V = 10851.84 feet³
And, the bottom of the silo is a cylinder with
height (h) = 40ft.
the volume of a cylinder is,
V = πr²h
V = 3.14 x 12² x 40
V = 18095.57
So, the total volume is
V = 10851.84 + 18095.57
V = 28947.41
Then, total volume = total number of cubic feet of grain
Hence, the required answer is, 28947.41 .
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Which equation represents a line that has a slope of 1/3 and passes through point 2 1?.
Equation which represents a line that has a slope of 1/3 and passes through the point (-2,1) is:
\(y=\frac{1}{3} x+\frac{5}{3}\)
What is the Equation of a Line?
The slope of the line and a point on the line can be used to create the equation of a line. To better comprehend how the equation for a line is formed, let's learn more about the line's slope and the necessary point on the line. The slope of the line, which can be stated as a numeric integer, fraction, or tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.
Let the equation of line be y=mx+c
Where m is the slope and c is the y-intercept
⇒ m=1/3
and The line passes through (-2,1)
Putting it in the equation
\(\begin{aligned}&1=\frac{1}{3} \times-2+c \\&c=1+\frac{2}{3} \\&c=\frac{5}{3}\end{aligned}\)
Hence,
An equation that represents a line that has a slope of 1/3 and passes through the point (-2,1) is: \(y=\frac{1}{3} x+\frac{5}{3}\)
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(i) 25x4 – x2 - 6x -9
Answer:8x+91
Step-by-step explanation:8x + 91
HELP PLEASE(7th grade)
!! for 2 and 3 these values are rounded
1) 693.5/18,250 = .038 x 100% = 3.8% commission
2) ~118.5% --- divide tip/meal then x 100%
3) ~21.33% divide sale price/over org., then subtract by 100%
100.48 in terms of pi
The correct answer is 100.48 degrees = 628π/1125 radians
Here is how to calculate 100.48 degrees to radians. The math to convert 100.48 degrees to radians, is as follows:
degrees in radians, we multiply degrees by π and divide by 180. The formula for conversion of degrees in radians: (degrees × π) ÷ 180 = radians. 100.48 degrees in our formula, we get 100.48 degrees in radians as follows:
(degrees × π) ÷ 180 = radians
(100.48 × π) ÷ 180 = 64251 0/4.4.
48 degrees = 628π/1125 radial
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if a rivet passes through two sheets of metal, each 1/16 of an inch thick, and has a shank of 1/4 inch, what length should the rivet be?
The length of the rivet should be 3/8 inch to pass through the two sheets of metal.
To solve this problemWe must take into account the shank length as well as the thickness of the two metal sheets.
Assumed:
Each sheet of metal has a thickness of 1/16 inch14 inch for the shank lengthThe thickness of the two metal sheets and the shank length must be added to determine the overall length of the rivet:
Total length = 2 * (Thickness of sheet metal) + Shank length
Substituting the values:
Total length = 2 * (1/16 inch) + 1/4 inch
Calculating the values:
Total length = 1/8 inch + 1/4 inch
Total length = 1/8 inch + 2/8 inch
Total length = 3/8 inch
So, the length of the rivet should be 3/8 inch to pass through the two sheets of metal.
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PLEASE HELP WILL GIVE BRAINLIEST AND 100 POINTS
Answer:
answer down below:
https://vsa.flvs.net/default.aspx?PageID=117&fn=Student-Dashboard
Step-by-step explanation:
Answer:
4, 7.5
Step-by-step explanation:
4. (x+6)(x+10)=140 ->
x=4
5. 550 = 8(x-2)(x+5) ->
x=15/2=7.5
Hope that helps! :)
The pictogram shows what people ate when they went to a restaurant.
a) 32 people ate chicken.
How many people does
represent?
Chicken
Beef
Fish
Vegetarian
b) Altogether, how many people
went to the restaurant?
pls help
Answer:
Step-by-step explanation: so you calculate how many people ate chicken, beef, fish or are vegetarian then you will add it all together
chicken=128
beef= 80
fish=32
vegetarian=112
128+80+32+112= 352 people ate at the restaurant
Answer:
Altogether, 88 people went to the restaurant.
Step-by-step explanation:
Need to solve for X
As per the given triangle, the height (x) of the right-angled triangle is 7 units.
Trigonometric ratios can be used to determine the height (x) of a right-angled triangle with a hypotenuse of 14 units and an angle of 30 degrees.
The ratio of the length of the side directly opposite the angle to the hypotenuse is known as the sine of an angle in a right-angled triangle. In order to determine the height (x), we can utilise the sine function.
The equation is:
sin(angle) = opposite / hypotenuse
sin(30°) = x / 14
x = sin(30°) * 14
x = 0.5 * 14
x = 7
Thus, the answer is 7 units.
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Which mode of persuasion does President Roosevelt use to appeal to his audience? ethos, an appeal based on the speaker’s credibility pathos, an appeal to the audience’s emotions logos, an appeal to the audience’s sense of logic an appeal based on emotion, logic, and the speaker’s credibility
Answer:
A.
Step-by-step explanation:
Edge 2021
The mode of persuasion President Roosevelt used to appeal to his audience is playfulness..
Who was President Franklin Delano Roosevelt?Franklin Delano Roosevelt was an American politician and lawyer who served as the 32nd president of the United States from 1933 until his death in 1945.
Given is the mode of persuasion does President Roosevelt use to appeal to his audience.
The mode of persuasion President Roosevelt used to appeal to his audience is playfulness.
Therefore, the mode of persuasion President Roosevelt used to appeal to his audience is playfulness.
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Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
The total cost would be $208
Step-by-step explanation:
First, we have to find the area of the square office which would be 4yards times 4yards which equals 16yd^2
Next, we'll multiply the area of the square office by $13 (since each square yard of new carpet costs that much).
So 16yd^2 times $13= $208
Hope I helped :)
Select the correct statement about the function represented by the table.
X
1
2
3
4
5
y
9
36
144
576
2304
O A. It is a linear function because the y-values increase by an equal
difference over equal intervals of x-values.
OB. It is a linear function because the difference between each x- and
y-value is constant.
OC. It is an exponential function because the factor between each x
and y-value is constant.
OD. It is an exponential function because the y-values increase by an
equal factor over equal intervals of x-values.
Answer:
D. It is an exponential function because the y-values increase by an
equal factor over equal intervals of x-values.
Step-by-step explanation:
The factor is equal, for example,
576/144 = 144/26 = 36/9 = 4
2) The Club Auto Parts Company has just recently been organized. It is expected to experience no growth for the next 2 years as it identifies its market and acquires its inventory. However, Club will grow at an annual rate of 5% in the third and fourth years and, beginning with the fifth year, should attain a 10% growth rate which it will sustain thereafter. The last dividend paid was $0.50 per share. Club has a cost of capital of 12%. What should be the present price per share of Club common stock?
Answer:
$20.84
Step-by-step explanation:
div 1 = $0.50
div 2 = $0.50
div 3 = $0.50 x 1.05 = $0.525
div 4 = $0.525 x 1.05 = $0.55125
years 5 and beyond we need to use the growing perpetuity formula:
stock price = [div 4 x (1 + g)] / (r - g) = ($0.55125 x 1.1) / (12% - 10%) = $30.32
now to determine the current value of the stocks we must calculate the present value of the future dividends and stock price:
stock price = $0.50/1.12 + $0.50/1.12² + $0.525/1.12³ + $0.55125/1.12⁴ + $30.32/1.12⁴ = $0.45 + $0.40 + $0.37 + $0.35 + $19.27 = $20.84
Answer these please!!!
The graph of 3x-2y≤6 is the third graph, for 3x-2y<6 is the first graph, for 3x-2y>6 is the fourth graph and for 3x-2y≥6 is the second graph. The solution has been obtained using concept of linear inequality.
What is linear inequality?
A linear inequality is one that would produce a linear equation if the equals relation were used instead of the inequality. When multiplying or dividing both sides by a negative number in order to solve the inequality, the direction of the inequality is reversed. The entire set of solutions to an inequality is known as the solution set.
We are given for graphs, of which two graphs are dotted and two are simple straight line graphs.
The dotted graphs are drawn for the inequalities having < or >
Whereas the simple straight line graphs are drawn for the inequalities having ≤ or ≥.
Now, to notice the shaded pattern, we will see whether the equations are true for (0,0) or not
1. 3x-2y≤6
⇒ 0≤6
So, the equation is true for the point.
Hence, the third graph represents this equation.
2. 3x-2y<6
⇒ 0<6
So, the equation is true for the point.
Hence, the first graph represents this equation.
3. 3x-2y>6
⇒ 0>6
So, the equation is false for the point.
Hence, the fourth graph represents this equation.
4. 3x-2y≥6
⇒ 0≥6
So, the equation is false for the point.
Hence, the second graph represents this equation.
Hence, the graphs are matched with the inequalities.
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Since, there are multiple questions so, the question answered above is attached below.
valentinas flora shop needs to mail 6,300 checks to the bank. if they can put 90 checks in each envelope how many will the shop need to use
Answer:
70
Step-by-step explanation:
you just have to divide the 6300 checks by 90
6300÷90=70
Find the value of x when 6 - 4x = 7x-9x - 6 The value of x is
Answer:
x = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
6 - 4x = 7x - 9x - 6
Step 2: Solve for x
Combine like terms: 6 - 4x = -2x - 6Add 4x on both sides: 6 = 2x - 6Add 6 on both sides: 12 = 2xDivide 2 on both sides: 6 = xRewrite: x = 6Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 6 - 4(6) = 7(6) - 9(6) - 6Multiply: 6 - 24 = 42 - 54 - 6Subtract: -18 = -12 - 6Subtract: -18 = -18Here we see that -18 does indeed equal -18.
∴ x = 6 is the solution to the equation.
Find the 50th term of
6, 12, 18, 24,...
A demographics researcher claims that the mean household income in a recent year is the same in Ada County, Idaho, and Cameron Parish, Louisiana. In Ada County, a sample of 18 residents has a mean household income of $58,300 and a standard deviation of $9,000. In Cameron Parish, a sample of 20 residents has a mean household income of $56,600 and a standard deviation of $15,600.
The mean household income in Ada County, Idaho, ($58,300) is not significantly different from that in Cameron Parish, Louisiana ($56,600).
To determine whether the mean household income in Ada County, Idaho, is the same as in Cameron Parish, Louisiana, we can conduct a hypothesis test.
Null Hypothesis (H₀): The mean household income in Ada County is equal to the mean household income in Cameron Parish.
Alternative Hypothesis (H₁): The mean household income in Ada County is not equal to the mean household income in Cameron Parish.
We can use a two-sample t-test to compare the means of the two samples. Here, we have two independent samples with known means, standard deviations, and sample sizes.
Let's calculate the test statistic and p-value using the provided data:
Sample 1 (Ada County):
Standard deviation (s1) = $9,000
Sample size (n1) = 18
Sample 2 (Cameron Parish):
Standard deviation (s2) = $15,600
Sample size (n2) = 20
Substituting the values:
t = (58,300 - 56,600) / √((9,000²/18) + (15,600²/20))
Calculating the numerator and denominator:
t ≈ 1700 / √((810,000 + 1,209,600))
t ≈ 1700 / √(2,019,600)
t ≈ 1700 / 1,421.819
t ≈ 1.195
To determine the p-value associated with the test statistic, we would need the degrees of freedom and consult a t-distribution table or use statistical software.
Without the specific degrees of freedom and given that the sample sizes are relatively small (less than 30), it is challenging to provide an exact p-value. However, based on the test statistic, we can make a general conclusion:
If the calculated p-value is less than the chosen significance level (commonly 0.05), we would reject the null hypothesis. If the p-value is greater than or equal to the chosen significance level, we would fail to reject the null hypothesis.
By conducting the two-sample t-test, we can determine whether there is sufficient evidence to support the researcher's claim that the mean household income in Ada County is the same as in Cameron Parish. However, without the specific degrees of freedom and the exact p-value, we cannot provide a definitive conclusion regarding the hypothesis test.
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