1. 10 in. to millimeters: 254.00 mm
2. 60 ft. to meters: 18.29 m
3. 4.5 in. to millimeters: 114.30 mm
4. 12 U.S. quarts to liters: 11.36 L
5. 25 feet per second to meters per second: 7.62 m/s
6. 100 miles to kilometers: 160.93 km
Explanation:To convert inches to millimeters, we use the conversion factor 1 inch = 25.4 millimeters. Therefore, for 10 inches, the calculation is: [tex]\(10 \, in. \times 25.4 \, \frac{mm}{in.} = 254.00 \, mm.\)[/tex]
For the conversion from feet to meters, the conversion factor is 1 foot = 0.3048 meters. Thus, for 60 feet, the calculation is: [tex]\(60 \, ft. \times 0.3048 \, \frac{m}{ft.} = 18.29 \, m.\)[/tex]
Converting inches to millimeters again, using the same conversion factor, we get [tex]\(4.5 \, in. \times 25.4 \, \frac{mm}{in.} = 114.30 \, mm.\)[/tex]
Moving on to quarts to liters, 1 U.S. quart is approximately 0.94635 liters. For 12 quarts, the conversion is [tex]\(12 \, qts \times 0.94635 \, \frac{L}{qt} = 11.36 \, L.\)[/tex]
For the speed conversion from feet per second to meters per second, we use the conversion factor 1 ft/s = 0.3048 m/s. Thus,[tex]\(25 \, ft/s \times 0.3048 \, \frac{m}{ft} = 7.62 \, m/s.\)[/tex]
Finally, for miles to kilometers, the conversion factor is 1 mile = 1.60934 kilometers. Hence, [tex]\(100 \, miles \times 1.60934 \, \frac{km}{mile} = 160.93 \, km.\)[/tex]
Answer:1. 10 in. to millimeters: 254.00 mm2. 60 ft. to meters: 18.29 m3. 4.5 in. to millimeters: 114.30 mm4. 12 U.S. quarts to liters: 11.36 L5. 25 feet per second to meters per second: 7.62 m/s6. 100 miles to kilometers: 160.93 km
Step-by-step explanation:
Maria found the least common multiple of 6 and 15. Her work is shown below. Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . . Multiples of 15: 15, 30, 45, 60, . . . The least common multiple is 60. What is Maria's error?
Answer:
she overlooked 30
Step-by-step explanation:
The number 30 appears on both her lists. Maria apparently overlooked that value.
People who have a college degree tend to live longer than those who do not have a college degree. This is true for both men and women, and it is true across many different ethnicities and in many different geographical regions. This phenomenon is easily explained because it has been proven that people who have attended college have lifestyles and habits that are well known to increase lifespan: they eat balanced meals, they exercise often, they consider themselves happy, and they tend to have strong relationships. Therefore, if you want to have a longer lifespan, you should get your college degree.Which of the following, if true, weakens the argument above?a) Some people who attend college do not get their college degree.b) People with those four habits and lifestyles are more likely to go to college than those without them.c) People with college degrees tend to have more heart attacks than those without one.d) Women tend to live much longer than men do.e) People from certain geographical regions and certain ethnicities tend to have longer lifespans.
Answer:
pepple with college degree live longer
Step-by-step explanation:
people with college degree live longer because they get to have a good job wich gives good income
Solve each exponential equation by using properties of common logarithms. When necessary, round answers to the nearest hundredth.
7(^3x) - 1 = 5(^x - 1)
A. x ≈ 12.33
B. x ≈ -3.09
C. x ≈ 0.08
please help!!!!
Answer:
The answer is C
Step-by-step explanation:
Just graph these functions lol...
Type the correct answer in each box. The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x + 2) = 24, where x is the width in inches, represents this situation. The value of x from the set {1, 3, 5, 7} that holds true for the equation is . So, the width of the rectangle is inches and its length is inches
Answer:
5 is the width and 7 is the length
Answer:
x=5 in (Width)
x+2=5+2=7 in (Length)
Step-by-step explanation:
You are given the equation 2x+2(x+2)=24 to solve for x where x is the width.
First step, use distributive property 2x+2x+4=24
Second step, subtract 4 on both sides and combine the like terms on the left hand side: 4x=20
Divide both sides by 4: x=20/4
So x=5 in
And since length is 2 more than the width so the length is 2+5=7 in
I am so stuck on this. I need your help.
You're gonna have to draw your own plot; let's fill in the table.
First let's count and sort the numbers;
2, 9, 10, 12, 14, 14, 15, 22, 32, 36, 43
n = 11
Median is the sixth one, in the middle: 14
Min: 2
Max: 43
Q1: For 11 points, the first quarter is between the 2nd and the 3rd: 9.5
Q3: Between 32 and 36: 34
Outlier? 43 maybe, hard to tell.
Mean: (2+9+10+12+14+14+15+22+32+36+43)/11 = 19
Range: from 2 to 43
IQR: from 9.5 to 39.5
The mean doesn't get plotted in a box and whiskers plot. The left whisker goes to the minimum, the left box Q1, the line through the box the median, the right box edge Q3, and the right whisker the maximum.
2.
I'm not really sure what they're talking about here, how about b for big blue squares, r for blue rectangles and s for small squares:
(5b + 6r + 10s) - (3b + 2r + 7s) = 2b + 4r + 3s
NEED HELP
Find the value of X
Answer:
88°
the total angle of hexagon is 720°
so 720-(120+120+172+125+95)=88
The total number of degrees in a hexagon is 720.
x + 172 + 120 + 95 + 120 + 125 = 720
x + 632 = 720
x = 720 - 632
x = 88
Need help with a math question
Answer:
72%
Step-by-step explanation:
You are looking at graduate students. There are 2610 of them.
Of those graduates 1879 have financial aid.
So the probability of a graduate student having financial aid is 1879/2610.
Inserting this division into my calculator provides me with about 72%.
Which of the following is best modeled using a linear equation y=ax+b, where a is less than 0?
Your answer should be C because the slope line is negative so you're answer should be negative
We are given y = ax + b.
Here, [a] represents the slope.
Which graph shows NEGATIVE SLOPE?
The graph starting at the upper left going to the bottom right is CHOICE C.
CHOICE C is the answer because the slope [a] must be negative.
given the function y= 5x - 3, complete the table of values by entering the missing value.
x | -3 | -1 | 0 | 2 |
____________
y |-18 | -8 | -3 | |
Answer:
missing value: 7
Step-by-step explanation:
Put 2 where x is in the function and do the arithmetic.
y = 5·2 -3 = 10 -3 = 7
The value corresponding to x=2 is y=7.
To complete the table of values for the function y = 5x - 3, you substitute the given x-value into the equation. The missing y-value for x=2 is 7.
Explanation:The function provided is y = 5x - 3. This is a linear function. To get the y values, you need to substitute the x values from the table into this equation. For the last row where x = 2, substitute 2 into the equation:
y = 5(2) - 3 = 10 - 3 = 7
So, the y-value corresponding to x=2 is 7.
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PLEASE HELP ASAP 40 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
Answer:
-5
Step-by-step explanation:
∛-25 × ∛5
= ∛-75
= ∛(-5)^3
= - 5
Answer:
a
Step-by-step explanation:
(-25)^⅓ × 5^⅓
(-25 × 5)^⅓
(-125)^⅓
(-5)³^⅓
-5
Match the following linear function to the corresponding graph
Answer:
a red graph
Step-by-step explanation:
slope is 5 and the y intercept is negative 2(the y intercept is where the line crosses the y axis) then you rise over run
The predicted values were computed by using the line of best fit, y = 3.2x + 2. What are the residual values needed to complete the chart? a = b = c = d =
Answer:a= 0.9, b= -1, c= -0.6, d= 0.2
Step-by-step explanation:
Answer:
A= 0.9
B= -1
C= -0.6
D= 0.2
If $625 is invested at an interest rate of 7% per year and is compounded continuously, how much will the investment be worth in 12 years? Use the continuous compound interest formula: A = Pert.
[tex]\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$625\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &12 \end{cases} \\\\\\ A=625e^{0.07\cdot 12}\implies \implies A=625e^{0.84}\implies A\approx 1447.73[/tex]
The investment will be $1447.73 worth in 12 years.
What is continuous compound interest?Continuous compounding exists the mathematical limit that compound interest can reach if it's calculated and reinvested into an account's balance over a theoretically infinite number of terms. While this exists not possible in practice, the vision of continuously compounded interest stands important in finance.
Since, the amount formula is compounded continuously,
[tex]$$A=P e^{r t}$$[/tex]
Where,
P is the principal amount,
[tex]$\mathbf{r}$[/tex] is the rate per period,
t is the number of periods,
e is Euclid number,
Here, [tex]$P=\$ 625$[/tex],
[tex]$$r=7 \%=0.07 \text {, }$$[/tex]
t=12 years
Thus, the amount after 12 years would be,
[tex]$$A=625 e^{0.07 \times 12}=625 e^{0.84}=\$ 1447.72936049 \approx \$ 1447.73$$[/tex]
Hence, $1447.73 will the investment be worth 12 years.
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If an unfair coin is tossed into the air and drops without interruption, its probability of landing on heads is 0.51 whereas the probability of landing on tails is 0.49. If the payoff for landing on heads is $0.99 and the payoff for landing on tails is $1.01 and it costs $1 to play each game, should you play?
1)Yes, because over the long run your expected value is greater than the lowest payoff
2)No, because over the long run your expected value is lower than the lowest payoff
3)Yes, because over the long run your expected value is greater than the cost to play
4)No, because over the long run your expected value is less than the cost to play
Answer:
4) No, because over the long run your expected value is less than the cost to play
Step-by-step explanation:
The expected value is ...
0.51×0.99 + 0.49×1.01 = 0.5049 +0.4949 = 0.9998
This expected value is less than the cost to play, so you will lose money in the long run. You should not play.
HELP WITH THIS LDC EQUATION PLEASE
Answer:
x = -11
Step-by-step explanation:
It is convenient to use 3·4 = 12 as a common denominator. That is, we can clear the fractions by multiplying the equation by 12.
12(x +1)/2 -12(x +2)/3 = 12(x +3)/4
6x +6 -4x -8 = 3x +9 . . . . . . simplify
2x -2 = 3x +9 . . . . . . . . . . . . collect terms
-11 = x . . . . . . . . . . . . . . . . . . add -9-2x
_____
Check
(-11+1)/2 -(-11+2)/3 = (-11+3)/4 . . . . substitute -11 for x in the original
-10/2 - (-9/3) = -8/4 . . . . . . . . . . . . simplify
-5 +3 = -2 . . . . . . . . . . true
Find the x- and y-intercept of Y
Answer:
Step-by-step explanation:
x intercepts include
(-1/2,0)
y intercepts include
(0,-3)
Hope that Helps!
Find the point that lies on the following linear equation: y = -2x + 1.
( 3, 5 )
( 3, -5 )
( 3, 6 )
( 3, -6 )
Answer:
(3,-5
Step-by-step explanation:
x=3 y=-2*3+1=-5
In the final round of trivia competition, contestants were asked to name as many states that begin with the letter M as they could in 15 seconds. The bar graph shows the number of states the contestants were able to name. How many contestants participated in the final round of the competition?
A) 6
B) 8
C) 14
D) 20
Answer:
D) 20
Step-by-step explanation:
The sum of the heights of the bars (numbers of contestants) is ...
1 + 1 + 5 + 6 + 4 + 2 + 1 = 20
The correct answer is A) 6.
To determine the number of contestants who participated in the final round of the competition, we need to analyze the bar graph provided in the question. Since the actual bar graph is not available in the text, we will assume that the number of states named by each contestant is represented by a separate bar in the graph.
The question states that the contestants were asked to name as many states that begin with the letter M as they could. The states that begin with the letter M are Montana, Minnesota, Missouri, Mississippi, Massachusetts, and Michigan. There are a total of 6 such states
Given that there are 6 states that start with the letter M, the maximum number of states any contestant could have named correctly is 6. Therefore, each contestant is represented by a bar on the graph that corresponds to the number of states they were able to name, with the maximum possible value being 6.
Since the question asks for the number of contestants and we have established that there are 6 states beginning with the letter M, it follows that there must be 6 bars on the graph, each representing one contestant. Thus, 6 contestants participated in the final round of the competition.
In conclusion, by understanding the context of the question and the constraints provided (the number of states beginning with the letter M), we can deduce that the number of contestants who participated in the final round is equal to the number of states that start with the letter M, which is 6. Hence, the correct answer is A) 6.
Neoli is a nurse who works each day from 8:00 am to 4:00 pm at the blood collection centre. She takes 45 minutes for her lunch break. On average, it takes Neoli 15 minutes to collect each sample and record the patient's details. On average, how many patients can Neoli see each day?
Answer:
29
Step-by-step explanation:
Neoli can see 4 patients in an hour. (60 min)/(15 min) = 4
In the 8-hour work day, with no break, she could see (8 h)×(4 patients/h) = 32 patients.
However, her lunch break takes a time that is equivalent to the time for 3 patients.
Neoli can see 32 -3 = 29 patients per day on average.
Use the definition of continuity to determine whether f is continuous at a. f(x) = 5x4 - 9x3 + x - 7a = 7
We have [tex]f(7)=8918[/tex]. By the definition of continuity, we require that
[tex]\displaystyle\lim_{x\to7}f(x)=f(7)[/tex]
So for any [tex]\varepsilon>0[/tex], we want to find sufficient [tex]\delta[/tex] for which
[tex]0<|x-7|<\delta\implies|f(x)-8918|<\varepsilon[/tex]
We have
[tex]|5x^4-9x^3+x-7-8918|=|5 x^4 - 9 x^3 + x - 8925|=|x - 7||5 x^3 + 26 x^2 + 182 x + 1275|[/tex]
Suppose we let [tex]0<\delta\le1[/tex]. Then
[tex]|x-7|\le1\implies x\le8[/tex]
so that
[tex]|5 x^3 + 26 x^2 + 182 x + 1275|\le5|x|^3+26|x|^2+182|x|+1275\le6955[/tex]
[tex]\implies|5x^4-9x^3+x-7-8918|\le6955|x-7|<\varepsilon[/tex]
[tex]\implies|x-7|<\dfrac\varepsilon{6955}[/tex]
which suggests that it suffices to choose
[tex]\delta=\min\left\{1,\dfrac\varepsilon{6955}\right\}[/tex]
in order to meet the required condition.
Desmond wants to sell his car that he paid $8,000 for 2 years ago. The car depreciated, or decreased in value, at a constant rate each month over a 2-year period. If x represents the monthly depreciation amount, which expression shows how much Desmond can sell his car for today?
8,000 + 24x
8,000 - 24x
8,000 + 2x
8,000 - 2x
Answer:
8,000 - 24x
Step-by-step explanation:
Let
y ----> depreciated value of the car
x---> rate of depreciation
t ----> the time in months
we know that
The linear equation that represent this situation is
y=8,000-xt
For
t=2 years=2*12=24 months
substitute
y=8,,000-x(24)
y=8,000-24x
Answer: 8,000 - 24x
Step-by-step explanation:
Identify the transformation that appears to be a reflection. HELP ASAP!!
Answer: the first option
Step-by-step explanation:
A reflection means that the object is flipped.
A reflection is a transformation that flips a shape over a line, creating a mirror image. You identify a reflection by looking for a shape which appears to have been flipped across a line.
Explanation:In mathematics, a reflection is a type of transformation that flips a shape over a line, creating a mirror image. To identify a reflection, you should look for a shape that appears to be flipped over a line. This line is called the line of reflection. For example, if you have a triangle ABC and its image A'B'C' such that A'B'C' is a mirror image of ABC, this is a reflection. The point A is reflected over the line to point A', B to B', and C to C'. The distances from the line of reflection to A, B, and C are equal to the distances from the line to A', B', and C' respectively.
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please help asap giving brainliest to all of the questions i ask
I have to build a box for my scouting project with a volume of 36 cubic centimeters. The base of the box is 6 cm long and 2 cm wide.
How high should I build the box? in centimeters
Answer:
3 cm
Step-by-step explanation:
Volume = Length x Width x Height
given that the volume = 36 cm³ ,length = 6 cm and width = 2 cm
Height = volume / (length x width) = 36 / (6x2) = 3 cm
Answer:
Volume is length x width x height.
The base is 12. (2x6)
Then you do 36/12
Finally your answer is 3.
Step-by-step explanation:
Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of whyrot be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.
Step-by-step explanation:
There are six unique letters. Any of the six could be the first letter. Once we've picked a first letter, that leaves 5 letters that could go second. So on and so forth. So the number of ways they can be arranged is:
6×5×4×3×2×1 = 720
The correct unscrambling is "worthy". So the probability of randomly selecting this order from the 720 possible combinations is 1/720.
Find the lowest common denominator of the following fractions.
A.) 24y2
B.) 24(y2 - 1)
C.) 24(y2 - 1)(y + 1)
Answer:
B.) 24(y² -1)
Step-by-step explanation:
The denominator of the first fraction is 2³(y +1).
The denominator of the second fraction is 2·3(y +1)(y -1).
The LCD is the product of the unique factors to their highest powers:
2³·3·(y +1)(y -1) = 24(y² -1)
Answer:
B
Step-by-step explanation:
A dragonfly traveled a rate of 35 miles per hour for 2.5 hours what distance did the dragonfly travel
Multiply the speed by the time:
35 miles per hour x 2.5 hours = 87.5 miles total.
Answer: 87.5 miles
Step-by-step explanation:
35 miles per 1 hour
35 * 2.5 = 87.5
For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3?
A. 3/7
B. 7/3
C. 10
D. 21
Answer:
D. 21
Step-by-step explanation:
The equation tells you xy = k. Substituting the given values, you get ...
7·3 = k
21 = k
Answer:
D) 21
Step-by-step explanation:
The given inverse variation equation is x.y = k, where k is the constant of proportionality.
Given: x = 7 and y = 3.
We need to find the constant variation, k.
To find the constant variation, k, plug in x = 7 and y = 3 in the given equation and simplify.
k = 7*3
k = 21.
Therefore, the constant of variation k = 21.
Answer is D) 21.
A playground is in the shape of a square with each side equal to 109 yards. It has skating rinks in the shape of the quadrants of a circle at each corner. If the area of the remaining field is 9055, find the radius of each skating rink. Also, find the cost of cementing the skating rinks at $2.50 per square yards. Use (pie=3.14).
Answer:
radius = 30 ydcost of cement = $7065Step-by-step explanation:
First we find the area of the circular sectors. From that we can find the cost of cement and their radius.
The area of the playground is ...
playground area = (109 yd)^2 = 11,881 yd^2
Then the area of the skating rinks is ...
rink area = playground area - remaining field
rink area = 11,881 yd^2 - 9,055 yd^2 = 2,826 yd^2
Then the cost of cement for the rink area is ...
(2826 yd^2)($2.50/yd^2) = $7065
__
The four quarter-circle skating rinks add to a total area of a full circle. That area is given by ...
A = πr^2
Substituting what we know, we have ...
2826 = 3.14r^2
900 = r^2 . . . . . . . . divide by 3.14
30 = r . . . . . . . . . . . take the square root
The radius of each quadrant is 30 yards.
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not mixed number or decimal.
Answer:
The slope is:
[tex]m=-\frac{3}{2}[/tex]
Step-by-step explanation:
The slope m of a line is calculated using the following formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are two points belonging to the straight line
Notice in the graph that the line passes through the points
(0, 2) and (2, -1)
Then the slope is:
[tex]m=\frac{-1-2}{2-0}[/tex]
[tex]m=\frac{-3}{2}[/tex]
3. The sides of an angle inscribed in a circle are
A. a diameter and a tangent.
B. a tangent and a radius.
C. two chords.
D. two radii.
Answer:
C. two chords
Step-by-step explanation:
If the sides of an angle are inscribed in a circle that means that the endpoints of the sides of said angle lie on the circle. That makes both of them chords.
A diameter has to go through the center
A tangent is outside the circle
A radius comes from the center of the circle and meets the outside of the circle
The sides of an angle inscribed in a circle are two radii. These two radii connect from a single point on the circumference of the circle to two different points on the circumference.
Explanation:In the field of Geometry, particularly in relation to circles, the sides of an angle that is inscribed in a circle constitute two radii. An inscribed angle is an angle formed by two lines (in this case, two radii) drawn from a single point on the circumference of a circle to two different points on the circumference. Therefore, the correct answer to the given problem would be option D, which states that the sides of an inscribed angle in a circle are two radii.
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