Answer:
Carlos is risking breaking another bone or getting hurt because he doesn't use any safety equipment to prevent it from happening.
Step-by-step explanation:
A book has 180 pages. Hailey read 12 pages each day. After a certain number of days, there are 60 pages left. Which equation, when solved for x, gives the number of days Hailey read?
Answer:
180 − 12x = 60
Step-by-step explanation:
The lighthouse was moved 230 feet inland at a rate of 40 feet per hour. How many hours did it take to move the lighthouse? What must you do to solve this? *
1. add 230 ft and 40 fph
2. subtract 40 fph from 230 ft.
3. multiply 230 ft by 40 fph
4. divide 230 ft by 40 fph
Answer:
5.75
Step-by-step explanation:
4) 230 ÷ 40 = 5.75
Answer:
lol
Step-by-step explanation:
A cup of coffee has approximately 310 mg of caffeine. Each hour, the caffeine in your system decreases by about 35%. How much caffeine would be left in your system after 5 hours? Round to the nearest whole.
Answer:
Amount of caffeine left after 5 hours = 36 mg
Step-by-step explanation:
We are told that the cup has 310 mg of caffeine originally.
Since it decreases by 35 percent or 0.35 each hour, it means that for each additional hour, the new amount of caffeine would be (1 - 0.35) x previous amount i.e. 0.65 x previous amount. Thus;
After 0 hour, we have; 310 mg
After 1 hour, we have; 310(0.65)
After 2 hours, we have; 310(0.65)(0.65)
After 3 hours, we have; 310(0.65)(0.65)(0.65)
We can see this follows a pattern of;
A(t) = 310(0.65)^(t)
Where;
A(t) is the amount left after t hours
And t is time t hours
Thus, amount left after 5 hours is;
A(5) = 310(0.65)^(5)
A(5) = 310 x 0.11603
A(5) ≈ 36 mg
Answer:
36 mg
Step-by-step explanation:
Please refer to the attached image for explanations
As the SAT is used for college admissions the GRE is used for graduate school admissions. A sample of verbal and
quantitative scores from the GRE are both normally distributed, with the values of H and a are given below.
Verbal Quantitative
670 550
1121 148
Kevin scored 610 on the verbal section and 700 on the quantitative section. Use the standard deviation as a unit of
measurement to comnare Kevin's verhal and quantitative scores on the GRE
Answer:
Step-by-step explanation:
Kevin’s verbal score is 610 is 140 points above the mean,which is 470. the standard deviation is 121 so his verbal score is 140/121≈1.16 standard deviations above the mean. Kevins quantitative score of 700 is 150 points above the mean, which is 500. The standard deviation is 148, so his quantitative score is 150/148 ≈ 1.01 standard deviation above the mean.Thus, Kevins verbal score is better than his quantitative score.
Tyler kicks a football into the air from a height of 3 feet with an initial vertical velocity of 48 feet per second. Use the vertical motion model, h= -16t^2 + vt + s, where v is the initial velocity in feet per second and s is the height of the football. Round your answer to the nearest tenth if necessary. Maximum height: Feet?
Answer:
39 feet
Step-by-step explanation:
In this problem, the height of the football at time t is modelled by the equation:
[tex]h(t)=-16t^2+vt+s[/tex]
where:
s = 3 ft is the initial height of the ball
v = 48 ft/s is the initial vertical velocity of the ball
[tex]-32 ft/s^2[/tex] is the acceleration due to gravity (downward)
Substituting these values, we can rewrite the expression as
[tex]h(t)=-16t^2+48t+3[/tex]
Here we want to find the maximum height reached by the ball.
This is equivalent to find the maximum of the function h(t): the maximum of a function can be found requiring that the first derivative of the function is zero, so
[tex]h'(t)=0[/tex]
Calculating the derivative of h(t), we find:
[tex]h'(t)=-32 t+48[/tex]
And imposing it equal to zero, we find the time t at which this occurs:
[tex]0=-32t+48\\t=-\frac{48}{-32}=1.5 s[/tex]
And substituting back into h(t), we can find the maximum height of the ball:
[tex]h(1.5)=-16\cdot (1.5)^2 + 48\cdot 1.5 +3=39 ft[/tex]
Using the vertical motion model, the time when the football reaches maximum height is calculated to be 1.5 seconds. Substituting this into the model, the maximum height of the football is found to be 39 feet.
Explanation:To find the maximum height, we consider the vertical motion model h = -16t^2 + vt + s, where v is initial velocity in feet per second and s is the initial height of the football. The information provided include: initial velocity v = 48 feet/sec and initial height s = 3 feet.
The maximum height reached by the football is achieved when the velocity becomes zero (time at which the ball reaches its highest point). This time can be calculated using the formula t = v / (2 * g), with g being half the coefficient of t^2 (g = 16 feet/sec^2 in this case). Substituting v and g gives us approximately t = 1.5 seconds.
We then substitute this time into our initial equation to find the maximum height. This gives: h = -16*(1.5)^2 + 48*1.5 + 3 = 39 feet. Therefore, the maximum height reached by the football is 39 feet.
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Lanie's Room Is In The Shape Of A Parallelogram. The Floor Of Her Room Is Shown And Has An Area Of 108 Square Feet. Lanie Has A Rectangular Rug That Is 6 Feet Wide And 10 Feet Long. Will The Rug Fit On The Floor Of Her Room? Explain.
Answer:
The rug will fit on the floor of her room
Step-by-step explanation:
The floor's area is given as 108
Will the rug fit this area of 108 sq. ft.?? We have to find the area of the rug and if it is less than 108, then definitely it will fit.
The rug is in the shape of a rectangle. The area of a rectangle is length times width.
Given length 10 and width 6, the area is:
Area of Rectangle = 10 * 6 = 60
Area of Rug = 60
Is 60 less than 108?? Yes, definitely!
The rug will fit on the floor of her room
Answer:
yessssss
Step-by-step explanation:
When you flip a biased coin the probability of getting a tail is 0.44.
Find the probability of getting a head.
The probability of getting a head when flipping a biased coin, which has the probability of 0.44 for tails, is 0.56 or 56%. This is calculated by subtracting the probability of tails from 1.
Explanation:When dealing with a biased coin, the probability of the two outcomes, heads and tails, must still add up to 1, since these are the only two possible outcomes of a flip. In this case, you have been given the probability of getting tails as 0.44. Therefore, the probability of getting heads must compliment this to sum up to 1.
To find the probability of getting a head, you simply subtract the probability of a tail from 1:
Probability of heads = 1 - Probability of tails
= 1 - 0.44
= 0.56 or 56%
In the context of probability, this means that over a large number of flips, you would expect to get a head about 56% of the time on this particular biased coin.
A circle is centered on point BBB. Points AAA, CCC and DDD lie on its circumference. If \orange{\angle ADC}?ADCstart color orange, angle, A, D, C, end color orange measures 35^\circ35 ? 35, degree, what does \blue{\angle ABC}?ABCstart color blue, angle, A, B, C, end color blue measure?
Answer:
∠ABC=[tex]70^0[/tex]
Step-by-step explanation:
In the attached diagram,
If Angle ADC =[tex]35^0[/tex]
Since the center of the circle is at B
∠ABC is the angle subtended at the center by arc AC.
∠ADC is the angle subtended at the circumference by arc AC.
Theorem
The angle subtended by an arc at the center of a circle is double the size of the angle subtended by the same arc at the circle's circumference.
Therefore by the theorem above
∠ABC = 2 X ∠ADC
=2 X 35
∠ABC=[tex]70^0[/tex]
a = 16, b = 30, c = ?
what is c equivalent to
Answer:
ok the anwer is C= 34
16^2+30^2=1156
√1156=34
so double check
16^2+30^2=34^2
256+900=1156
√1156=34
Step-by-step explanation:
Substituting the given values of Simple Algebra 'a' and 'b' into the equation a+b=c we get 16 + 30 = c. This simplifies to c = 46, so the answer is C) 46.
We are given that a is equal to 16 and b is equal to 30. The equation given is a+b=c. Substituting the given values of 'a' and 'b' into the equation, we get 16 + 30 = c. This simplifies to c = 46. Therefore, the answer is C) 46.
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The probable question may be:
If a is equal to 16, b is equal to 30, what is the value of c in the equation a+b=c?
Additional Information: In this question, we have two known values, a and b, which are 16 and 30, respectively. To find the value of c, we'll use the equation a+b=c Solving this equation will give us the equivalent value of c.
Options:
A) 14
B) 36
C) 46
D) 62
How do I find the quadratic equation from its graph?
Here's a picture to explain it better.
Given that f (x) = 22 + 16x + 63 and g(x) = x + 9, find f(x) + g(x) and
express the result in standard form.
Answer:
17x + 94
Step-by-step explanation:
Step 1 : Add 16x and x = 17x
Step 2: Add 22 + 63 + 9 = 94
Because the highest exponent of x goes first
And there's only one x
Then simply add the constant (any number with no x)
17x +94
There are six different French books, eight different Russian books, and five different Spanish books. How many ways are there to arrange the books in a row on a shelf with all books of the same language grouped together?
Step-by-step explanation:
The number of books in French language = 6
The number of books in Russian language = 8
The number of Spanish books = 5
So, in total there are 19 books in 3 different languages F , R and S.
Now, the books are to be arranged in such a way that each language books are stacked together.
The possible number of ways to do it is :
1. French, Russian , Spanish.
2. French, Spanish, Russian.
3. Russian , Spanish, French.
4. Russian , French , Spanish.
5. Spanish, French, Russian.
6. Spanish, Russian, French.
So,there are total 6 ways to arrange the books in the desired manner.
Hence, there are 6 possible ways to arrange the books in a row on a shelf with all books of the same language grouped together.
The total number of ways to arrange the books on the shelf, with each language's books grouped together, is computed by the formula 3! * 6! * 8! * 5! which covers arranging the language groups and the books within each group.
Explanation:This problem can be approached through the use of factorial operations in combinatorics, a branch of math dealing with combination and permutation. You want to find out how many ways there are to arrange these books with the condition that each language's books are grouped together. First, we take into account how to arrange the groups of languages, and then we arrange the books within each group.
We have 3 groups of books (French, Russian and Spanish) which can be arranged in 3! (3 factorial) ways, that is 3*2*1 equaling 6 ways to arrange the group of languages.
Within each group, suppose we arrange the French books in 6! ways, Russian books in 8! ways, and Spanish books in 5! ways. These can be arranged within their group in these many ways due to different book titles.
Thus, the total number of ways to arrange the books on the shelf under the given condition would be the arrangement of groups multiplied by the arrangements within each group. Or, 3! * 6! * 8! * 5!. This represents your answer.
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Maya drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 8 hours. when Maya drove home, there was no traffic and the trip only took 5 hours. if her average rate was 21 miles per hour faster on the trip home, how far away does maya live from the mountains? do not do any rounding.
Answer: The distance from her house to the mountains is 280 miles.
Step-by-step explanation:
Let x represent the her speed while driving to the mountains.
if her average rate was 21 miles per hour faster on the trip home, it means that her speed while driving home is (x + 21) mph.
Distance = speed × time
Her trip to the mountains took 8 hours. It means that the distance she travelled on her way to the mountains is 8 × x = 8x
when Maya drove home, there was no traffic and the trip only took 5 hours. It means that the distance she travelled on her way to home is
5(x + 21)
Since the distance is the same, it means that
8x = 5(x + 21)
8x = 5x = 105
8x - 5x = 105
3x = 105
x = 105/3
x = 35 mph
The distance from her house to the mountains is
8 × 35 = 280 miles
Darren invests $4,500 into an account that earns 5% annual interests. How much will be in the account after 10 years if the interest rate is compounded annually, quarterly, monthly, or daily? Which compounded interest rate should Darren choose?
We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.
We will use compound interest formula to solve our given problem.
[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
[tex]5\%=\frac{5}{100}=0.05[/tex]
When compounded annually, [tex]n=1[/tex]:
[tex]A=4500(1+\frac{0.05}{1})^{1\cdot 10}[/tex]
[tex]A=4500(1.05)^{10}[/tex]
[tex]A=4500(1.6288946267774414)[/tex]
[tex]A=7330.025820498\approx 7330.03[/tex]
When compounded quarterly, [tex]n=4[/tex]:
[tex]A=4500(1+\frac{0.05}{4})^{4\cdot 10}[/tex]
[tex]A=4500(1.0125)^{40}[/tex]
[tex]A=4500(1.6436194634870132)[/tex]
[tex]A=7396.28758569\approx 7396.29[/tex]
When compounded monthly, [tex]n=12[/tex]:
[tex]A=4500(1+\frac{0.05}{12})^{12\cdot 10}[/tex]
[tex]A=4500(1.00416666)^{120}[/tex]
[tex]A=4500(1.64700949769)[/tex]
[tex]A=7411.542739605\approx 7411.54[/tex]
When compounded daily, [tex]n=365[/tex]:
[tex]A=4500(1+\frac{0.05}{365})^{365\cdot 10}[/tex]
[tex]A=4500(1.0001369863013699)^{3650}[/tex]
[tex]A=4500(1.6486648137656943695)[/tex]
[tex]A=7418.9916619456\approx 7419.00[/tex]
Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.
A storekeeper wants to mix two types of flour to get 300 pounds, so he can sell it by 2.50$ per pound. If he uses flour worth $2.40 a pound with another flour worth $3.00 a pound, how many pounds of each does he use?
Answer:
90 pounds, 210 pounds
Step-by-step explanation:
Given:
A storekeeper wants to mix two types of flour to get 300 pounds, so he can sell it by 2.50$ per pound.
He uses flour worth $2.40 a pound with another flour worth $3.00 a pound.
Question:
How many pounds of each does he use?
Solution:
Let pounds of one type of flour mixed = [tex]x[/tex]
Then pounds of another type of flour mixed = [tex]300-x[/tex]
Cost of 1 pound of one type of flour = $2.40
Cost of [tex]x[/tex] pounds of one type of flour = [tex]2.4x[/tex]
Similarly,
Cost of 1 pound of another type of flour = $3
Cost of [tex]300-x[/tex] pounds of another type of flour = [tex]3(300-x)=900-3x[/tex]
Cost of mixed flour per pound = $2.5
Total cost of mixed flour per pound = $2.5 [tex]\times[/tex] 300 = $750
Cost of [tex]x[/tex] pounds of one type + Cost of [tex]300-x[/tex] pounds of another type = $750
[tex]2.4x+900-3x=750\\\\ -0.6x+900=750\\ \\ Subtracting\ both\ sides\ by\ 900\\ \\ -0.6x+900-900=750-900\\ \\ -0.6x=-150\\ \\ Minus\ canceled\ by\by\ minus\\ \\ 0.6x=150\\ \\ Dividing\ both\ sides\ by\ 0.6\\ \\ x=90[/tex]
Pounds of one type of flour mixed = [tex]x[/tex] = 90 pounds
Pounds of another type of flour mixed = [tex]300-x[/tex] = 300 - 90 = 210 pounds
Thus, 90 pounds of one and 210 pound of another type of flour mixed.
Answer:
50lb of 3.00
250lb of 2.40
Step-by-step explanation:
I need help with this
Answer:
Which ones
Step-by-step explanation:
11.a
Range: 16
To find the range, you subtract the biggest number(52) from the smallest number(36)
52-36=16
11.b
Mean: 43.75
To find the mean, you have to add all the numbers, then divide by the total amount of numbers
(36+45+52+40+38+41+50+48)/2 = 43.75
Median: 43
To find the median, the numbers must be put in either ascending or descending order and the middle must be found. In this case, there were 2 numbers(41 and 45) so you add the two and divide by 2.
36,38,40,41,45,48,50,52 (41+45)/2=43
Mode: N/A
The mode is the number that occurs the most and in this case each number is only seen once , so there is no mode
I am going to put the answers for the rest since I've explained the process
12a.
Range: 3655
12b.
Mean: 1014.166667 = 1014.17
Median: 608.5
Mode: N/A
13a.
Mean: You: 4 Friend: 8
Median: You: 17 Friend: 17
Mode: You: N/A Friend: 20
13b.
Your Friend
The scale of the drawing was 1 millimeters,2 meters in the drawing, the lawn in the backyard is 28 millimeters long, what is the length of the actual lawn
Answer:
The length of the actual lawn is 56 meters.
Step-by-step explanation:
Given:
The scale of the drawing was 1 millimeters : 2 meters, in the drawing the lawn in the backyard is 28 millimeters long,
Now, to find the length of the actual lawn.
Let the length of the actual lawn be [tex]x.[/tex]
The length of the lawn in the drawing = 28 millimeters.
The scale of the drawing was 1 millimeters : 2 meters.
So, 1 millimeters is equivalent to 2 meters.
Thus, 28 millimeters is equivalent to [tex]x.[/tex]
Now, to get the length of the actual lawn by using cross multiplication method:
[tex]\frac{1}{2} =\frac{28}{x}[/tex]
By cross multiplying we get:
[tex]x=56\ meters.[/tex]
Therefore, the length of the actual lawn is 56 meters.
Please respond quickly thanks
Answer:
cookies
Step-by-step explanation:
Kaci bought a birthday cake like the one shown below. If a=5inches,b=5inches,c=10 inches, and d=3inches what is the volume of the cake
Answer:
75+150=225 in^2
Step-by-step explanation:
Separate each layer.
Area1+Area2= Total area
A1= a*b*d
A2=a*c*d
A1=5*5*3=75 in^2
A2=5*10*3=150 in^2
75+150=225 in^2
Answer:
210
Step-by-step explanation:
I need some help with Parent Functions
Please help question in picture
Answer:
I think the answer is B
Step-by-step explanation:
180 - 104 - 36 = 40
Pip was thinking of a number. Pip halves the number and gets an answer of 87.2. Form an
equation with x from the information.
Answer:
x/2=87.2
Step-by-step explanation:
Pip was thinking of a number - Let's call this number x
Pip halve the number - So half of x = x/2 (or 1/2 x)
And gets an answer of 87.2 - x/2=87.2
So your equation would be x/2=87.2
I hope this helps :)
Final answer:
Pip's mystery number is found by taking the equation x / 2 = 87.2, where x is the original number. By solving it, we find that x = 174.4.
Explanation:
Pip is thinking of a number. When Pip halves this number, the result is 87.2. To formulate an equation with x based on this information, we consider that halving a number is equivalent to multiplying that number by 0.5 or dividing it by 2.
Therefore, we can represent the situation with the equation x / 2 = 87.2. This equation states that half of Pip's unknown number (x) equals 87.2.
To solve for x, we multiply both sides of the equation by 2:
x = 87.2 × 2
Which simplifies to:
x = 174.4
This means that Pip was thinking of the number 174.4.
How do you write 8.91 x 10⁴ in standard form?
Answer:
89100
Step-by-step explanation:
all you do it move the decimal place over 4 to the right
What is the circumference of a circle
with a diameter of 4?
Type in your response.
Answer:
12.57
Step-by-step explanation:
hope this helps
Answer:
3.14 x 4 = 12.57
Step-by-step explanation:
30 POINTZ
What is the determinant of the coefficient matrix of this system?
Answer:
Determinant of matrix = 12
Step-by-step explanation:
rewrite this system with matrices
[{4 , -3]
[8, -3]]
determinant = 4*(-3) - (-3)*8 = -12 + 24 = 12
are you finding the inverse too?
the system should look like A* v = C
where matrix A is
[{4 , -3]
[8, -3]]
and V = [x , y] vector
C = [-8, 12] vector
Answer:
Explanation: When the determinant of the coefficient matrix of a system of linear equations equals zero it means that at least one equation in the system is a scalar multiple of another equation. Hence it is not possible to find the inverse matrix and so the system cannot be solved.
Step-by-step explanation:
how many solutions does this eq
Answer:
There's one solution to this equation and that is 2
Step-by-step explanation:
5 (2x-3) = 5 multiply inside the parenthesis by 5
10x - 15 = 5 add 15 to both sides
10x - 15 + 15 = 15 + 5
10x = 20 divide both sides by 10
x = 2
When Alex bought his new car in 2006, it was worth $28,350. In 2015, it was worth a third of its original value. Find the percent of change in the value of the car from 2006 to 2015.
The percent change in the value of the car from 2006 to 2015 is approximately -66.67%, meaning the car's value decreased by about 66.67% over that time period.
Explanation:The subject of this problem is percent change, and it is a mathematical concept used to understand the degree of change over time. In this case, the percent change in the value of the car from 2006 to 2015. As per the problem, the value of the car in 2006 was $28,350. In 2015, the value dropped to a third of the original value. Therefore, the value of the car in 2015 was $28,350 / 3 = $9,450.
Now, to find the percent change, you use the formula:
Percent Change = ((New Value - Original Value) / Original Value ) * 100
Substituting the given values in the formula, you get:
Percent Change = (($9,450 - $28,350) / $28,350) * 100
Simplifying that further, you find that the percent change is approximately -66.67%. This means, the value of the car decreased by approximately 66.67% from 2006 to 2015.
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Numa turma, 5% dos homens e 2% das mulheres tem mais de 1,60m de altura. Por outro lado, 60% dos estudantes são homens. Se um estudante é selecionado aleatoriamente e tem mais de 1,60m de altura, qual a probabilidade de que o estudantes seja mulher?
Answer:
0.8%
Step-by-step explanation:
Because they are two independent events, the final probability is the product of the probability of each event.
First event:
The complement of a student being male is that he is female.
Therefore, if 60% is male, the remaining 100% is 40%, meaning that 40% of the students are female.
Second event:
If she's taller than 5'4", we're told she has a 2% chance of being a woman.
Therefore the final probability is:
0.4*0.02 = 0.008
That is, the probability that it is female and that it is over 1.6 meters tall is 0.8%.
What is the value of x?
10 + 2х
Answer:
x = -5
Step-by-step explanation:
Get 2x by itself, so subtract to the other side. 2x = -10. Then get x alone, so divide by 2. Then your answer is -5
PLEASE MARK BRAINLIEST!
Answer:
I think you meant a "=" instead of a "+"
Step-by-step explanation:
10 = 2x
10 = 2x
2 2
5 = x
Your answer is 5I hope this helps!
- sincerelynini
I NEED HELP ASAP PLSSS
Answer:
y = x^2 - 4x - 5
y = (x + 1)(x - 5)
Answer:
[tex] Standard \: form :\:y= {x}^{2} - 4x - 5\\
Factored\: from:\:y = (x + 1) (x - 5)[/tex]
Step-by-step explanation:
[tex]y = (x - 2)^{2} - 9 \\ y= {x}^{2} - 4x + 4 - 9 \\ \red{ \boxed{ \bold{y= {x}^{2} - 4x - 5}}} \\ is \: in \: standard \: form \\ \\ y = (x - 2)^{2} - 9 \\ y = (x - 2)^{2} - {3}^{2} \\ y = \{(x - 2) + 3\} \{(x - 2) - 3 \} \\ y = \{x - 2 + 3\} \{x - 2- 3 \} \\ \purple{ \boxed{ \bold{y = (x + 1) (x - 5)}}} \\ is \: in \: factored \: form[/tex]