Answer: 12 hours
Step-by-step explanation:
Let's set the speed as "s".
Remember that distance = speed * time
So, plugging the numbers given...
7 = s * 8.4
Divide both sides by 8.4
s = 5/6
Now, plug this into the distance = speed * time, with the distance being 10. Set the time as "t"
10 = 5/6 * t
Divide both sides by 5/6
12 = t
So, it would take 12 hours for the snail to crawl 10 miles.
Do the ratios 7:14 and 3:6 form a proportion?
Answer:
Yes
Step-by-step explanation:
7:14=1:2
3:6=1:2
Which is the best definition of coefficient?
A letter that represents an unknown value.
O A number that itinultiplied by a variable.
Operations that "undo" each other.
O A fixed value that does not change.
Answer:
A number multiplied by a variable.
Step-by-step explanation:
For example, 4 is a coefficient.
[tex]4x[/tex]
Freeman High School's drill team will be attending the national competition and needs to raise $1,600. To raise money for the trip, the girls are selling tickets to a luncheon. Tickets are $8 for students and $10 for adults. The equation 8x+10y=1600, where x represents the number of student tickets sold and y represents the number of adult tickets sold, can be used to represent this situation. The graph of this equation is shown below.
The equation that can be used to represent this situation is 8x + 10y = 1600
Let x represent the number of student tickets sold and y represents the number of adult tickets sold.
Since students ticket cost $8 and adult tickets cost $10, and the total ticket sold was $1600, hence this can be represented by the equation:
8x + 10y = 1600
Therefore the graph of the above equation is attached
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The slope of Consider the line whose equation is 3x + y - 3 = 0. The slope of any line that is parallel to this line is any line that is perpendicular to this line is
Answer:
parallel : y = -3x + 3
perpendicular : y = 1/3x + 3
Step-by-step explanation:
rewrite 3x + y - 3 = 0
y = -3x + 3
parallel has the same slope
so
parallel : y = -3x + 3
perpendicular is negative reciprocal of the slope
so
-3x becomes 1/3x
so
perpendicular : y = 1/3x + 3
Suppose that Paul's checking account shows a balance of $725.35 at the beginning of the month. During this month,
he makes deposits of $472.25, $175.35, $194.50, and $317.85, and he writes checks for $150.30, $237.60,
$45.75, and $257.85. Find the end-of-the-month balance in his account.
Answer:
$ 1,193.80
Step-by-step explanation:
Balance + deposits =
725.35+472.25+175.35+194.50+317.85 = $ 1,885.30
$1,885.30 - withdrawals =
1885.30 - 150.30-237.60-45.75-257.85 = $ 1,193.80
Daniel was offered a job after college earning a salary of $60,000. He will get a raise of $4,000 after each year working for the company. Answer the questions below regarding the relationship between salary and the number of years working at the company.
Answer: point o.
Step-by-step explanation:
find the slope of the parabola y equals to e^(-4x) sin6x at the point P(2,4). write an equation for the tangent to the parabola at this point
The equation of the tangent line to the curve is:
[tex]y - 4 = 0.0024(x - 2)[/tex]
Which has a slope of 0.0024.
The tangent line of a curve [tex]f(x)[/tex] at a point [tex](x_0,y_0)[/tex] is given by:
[tex]y - y_0 = f^{\prime}(x_0)(x - x_0)[/tex]
In this problem, the curve is:
[tex]f(x) = e^{-4x}\sin{6x}[/tex]
The derivative is:
[tex]f^{\prime}(x) = -4e^{-4x}\sin{6x} + 6e^{-4x}\cos{6x}[/tex]
Point P(2,4), thus [tex]x_0 = 2, y_0 = 4[/tex].
The slope is:
[tex]f^{\prime}(2) = -4e^{-4(2)}\sin{6(2)} + 6e^{-4(2)}\cos{6(2)} = 0.0024[/tex]
Then, the equation of the line is:
[tex]y - y_0 = f^{\prime}(x_0)(x - x_0)[/tex]
[tex]y - 4 = 0.0024(x - 2)[/tex]
A similar problem is given at https://brainly.com/question/22426360
What is the value of x? 3/4x−4−5/8x=−3
Answer:
here.
3/4x−4−5/8x=−3
or, 3/4x−5/8x=−3+4
or, 3/4x−5/8x=1
or, 3*2/2*(4x)-5/8x=1
or,6/8x-5/8x=1
or,(6-5)/8x=1
or,1/8x=1
or,1=8x
or,x=1/8
PLS SOLVE I WILL GIVE BRAINLIEST
Answer:0.8004
Step-by-step explanation:
The population P of a small town, measured in hundreds, is modeled by the inverse of the function P−1(t) = 10ln(50t − 1000), where t is measured in years. Find the equation to model the population and determine its initial value.
P = 5t +100 where P(0) = 100
P = 1/50 In(0.1t)+20
P = 1/500e^t + 20
P = 1/50e^0.1t + 20
Using the inverse function, it is found that the equation is:
[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]
It's initial value is 20.
---------------------------
We want to find the inverse of:
[tex]y = P^{-1}(t) = 10\ln{50t - 1000}[/tex]
To do this, we exchange y and t, and isolate y.
Then:
[tex]10\ln{50y - 1000} = t[/tex]
[tex]\ln{50y - 1000} = \frac{t}{10}[/tex]
[tex]e^{\ln{50y - 1000}} = e^{0.1t}[/tex]
[tex]50y - 1000 = e^{0.1t}[/tex]
[tex]50y = e^{0.1t} + 1000[/tex]
[tex]y = \frac{e^{0.1t} + 1000}{50}[/tex]
[tex]y = \frac{e^{0.1t}}{50} + \frac{1000}{50}[/tex]
[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]
It's initial value is:
[tex]P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02[/tex]
Rounding, 20.
A similar problem is given at https://brainly.com/question/23950969
Answer:
P = 1/50e^0.1t + 20
Step-by-step explanation:
Which of the following is equivalent to 10,000
30 points so please give right answers
Answer:
just count the zero A is the answer
Step-by-step explanation:
Hello! I need help with coordinate planes in math. I don't need an explanation, because I do kind of understand it. If you don't know the answer, please don't answer it. If you have any questions about the question, please drop in a comment! Thank you!
Answer:
the first one
the third one
thats all I know but this should help I have some work to do soooo sorry big zozo ;(
Step-by-step explanation:
Joshua delivered 30 hives to the local fruit farm. If the farmer has paid to use 5% of the total number of Joshua’s hives, how many hives does Joshua have in all?
Answer:
600 hives
Step-by-step explanation:
If 30 is 5% of the total number of hives Joshua has, then 5%x20=100%
So, 30x20=100%
30x20=600
hope it helped :)
8/t + t^2; t=4 please help me
Answer:
8/t + t^2 = 18
Step-by-step explanation:
8/t + t^2
t = 4
8/4 + 4^2
2 + 16 = 18
8/t + t^2 = 18
write an addition equation or subtraction equation your choice to describe the diagram. I'll Mark brainest
Answer:
[tex]0+2-4=-2[/tex]
Step-by-step explanation:
We start at 0 and move 2 to the right to get to 2. Then, we move 4 to the left to get to -2.
So, our equation is [tex]0+2-4=-2[/tex], the 0 being our starting point, the +2 coming from moving to the right 2, the -4 coming from moving to the right 4, and the -2 being our end point.
Solve for w.
–1.01 = 1.4(w + 2) − 2.41
Answer:
w=-1
Step-by-step explanation:
Algebra.
Answer:
w = - 1Step-by-step explanation:
–1.01 = 1.4(w + 2) − 2.412.41 - 1.01 = 1.4(w + 2)1.4 = 1.4(w + 2)w + 2 = 1w = 1 - 2w = - 1Which of these is the smallest number?
A. 1 1/2 ( one and one over two)
B. 1/3
C. 1 1/10 (one and one over ten)
D. 1/4
E. 1/2
Answer:
B this is the smallest number
Mr. Thompson asked 50 students were about their
favorite ice cream.
1/5 of the students chose Vanilla
1/2 of the students chose Chocolate The remaining chose Strawberry
How many students chose Strawberry as their favorite flavor?
What decimal represents the students who
prefer cookie dough?
Answer:
0.12 chose strawberry as their favorite
Find the missing factor A that makes the equality true
8x 3 =(−2x)(A)
4x-5y=6 for y
Solve the equation for the specified variable
Answer:
[tex]y = - \frac{4}{5} x + \frac{6}{5} [/tex]
Step-by-step explanation:
First subtract 4x on both sides in order to get -5y alone. Now you have -5y = 4x + 6 (since neither 6 nor 4x are like terms). Now divide -5 on both sides in order to get rid of it, so we can get y by its self. Now you have y = -4/5 x + 6/5
Hope this makes sense. Also please tell me if I'm wrong and I'll be happy to look at it again for ya :)
Newton uses two properties ti rewrite the expression (4x23)x25 identify the properties he used why would Newton use these properties
The two properties newton used to rewrite the expression are;
- Associative Property; Because it involves change of grouping of numbers in the expression.
- Distributive Property; Because it involves distribution of a number outside a bracket to numbers inside that same bracket.
This involves algebraic properties. There are 3 major types that work on only addition and multiplication namely;- Associative Property
- Commutative Property
- Distributive Property
Let us define each of them;
1) Associative Property; This property in algebra is one that means that no
matter how we group the numbers, we will still get the same result. e.g.
x + (y + z) = (x + y) + z.
2) Commutative Property; This property means that we can change the
order of operation and still get the same answer. For example;
p × q × r = p × r × q
3) Distributive Property; This property means that multiplying the sum of
two or more which are in a bracket by a number outside the will be equal to
the answer gotten when we multiply each number in the bracket
individually by the number outside and then adding their respective
products together. For example; p(q + r) = (p * q) + (p * r)
Newton has the expression; (4 × 23) × 25
Since it is multiplication, he can use any of the three properties above but let us use the associative and distributive properties as they are most suited to this expression.
For the associative property as shown above, he will arrive at;(4 × 23) × 25 = 4 × (23 × 25)
For the distributive property as shown above, he will arrive at;(4 × 23) × 25 = (25 × 4) + (25 × 23)
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1. A rectangular canvas picture measures 12 inches by 28 inches. The canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches. Find the uniform width of the frame.
The uniform width of the frame is 16.61 inches.
Since a rectangular canvas picture measures 12 inches by 28 inches, and the canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches, to find the uniform width of the frame you must perform the following calculation:
√ (612 - (28 x 12)) = X √ (612 - 336) = X √276 = X 16.61 = X
Therefore, the uniform width of the frame is 16.61 inches.
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Write the expression using exponents. g⋅g⋅g⋅g⋅g
If x is semi-prime, how many prime factors does it have?
please, 20 points for this!!
Answer:
2 prime factors
Answer: 2 prime factors
Step-by-step explanation: A semiprime is a number n that has just 2 prime factors p and q so n = p × q. It is therefore "almost" a prime (which has only one prime factor, itself!) or a semiprime.
15/2.25(step by step 100 points and mark brainliest)
Answer:
[tex]\sf\longmapsto \: 6.666[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: \: \frac{15}{2.25} [/tex]
Or it can be written as 15÷2.25
Thus,the answer will be in decimal.
[tex]\sf\longmapsto \: 6.666[/tex]
What is the answer can you hello me
Answer:?
Step-by-step explanation:
?
The following equation models a rock that is thrown upward from an elevation of 4.9 feet
at a speed of 63.2 feet per second. The variable h represents the height in feet, and
represents the time in seconds.
h= –1672 + 63.2t + 4.9
The rock reaches 50 feet on its way up, and again on its way down.
How long does it take the rock to reach 50 feet on its way down? Round your answer to 1
decimal places.
3.0 seconds
13.2 seconds
0.9 seconds
54.9 seconds
Answer:
3.0 seconds
Step-by-step explanation:
i took the test.
The time it takes the rock to reach 50 feet on its way down is 13.2 seconds and option B is the correct answer.
We have,
We are given the equation for the height of the rock as it travels upward and then downward:
h = -1672 + 63.2t - 4.9t²
We want to find the time it takes for the rock to reach a height of 50 feet on its way down.
This means we need to solve for t when h = 50:
50 = -1672 + 63.2t - 4.9t²
Rearrange the equation to isolate the quadratic term:
4.9t² - 63.2t + (1672 + 50) = 0
4.9t² - 63.2t + 1722 = 0
For an equation of the form "ax² + bx + c = 0", the solutions for "x" are given by:
x = (-b ± √(b² - 4ac)) / 2a
In your equation, the coefficients are:
a = 4.9
b = -63.2
c = 1722
Plugging these values into the quadratic formula:
t = (-(-63.2) ± √((-63.2)² - 4 * 4.9 * 1722)) / (2 * 4.9)
Now, let's calculate the discriminant (the value inside the square root):
Discriminant = (-63.2)² - 4 * 4.9 * 1722 ≈ 39884.96 - 33529.6 ≈ 6355.36
Since the discriminant is positive, there are two distinct real solutions for "t".
Now, plug the discriminant back into the quadratic formula and solve for "t":
t = (63.2 ± √6355.36) / 9.8
Now, calculate the square root of the discriminant:
√6355.36 ≈ 79.58
Now, plug in the values for "t":
t₁ = (63.2 + 79.58) / 9.8 ≈ 13.02
t₂ = (63.2 - 79.58) / 9.8 ≈ -1.69
So, the solutions for the equation 4.9t² - 63.2t + 1722 = 0 are approximately:
t₁ ≈ 14.61
t₂ ≈ -1.69 (rejected)
Thus,
The time it takes the rock to reach 50 feet on its way down is B. 13.2 seconds.
Learn more about equations here:
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#SPJ3
please answer both thank you
Answer: 3/4 are eqivelent to 6/8
Step-by-step explanation:
ANSWER QUICK PLEASE!!
combine like terms. 8x + 3 - 5x + 9
A. -13x - 12
B. 13x + 12
C. 3x - 6
D. 3x + 12
NO LINKS OR WEBSITES!!
Answer:
D
Step-by-step explanation:
8x-5x+3+9=3x+12
combine like terms
Lori brought sunglasses and flip-flops at a half-off sale.If she spent a total of $21 on the two items, what was the original price of the sunglasses?
The sunglasses were originally priced at $ 21.
Given that Lori brought sunglasses and flip-flops at a half-off sale, to determine, if she spent a total of $ 21 on the two items, what was the original price of the sunglasses (taking into account that they both cost the same) will be you must perform the following calculation:
50 = 21 100 = X 100 x 21/50 = X 2100/50 = X 42 = X
Thus, the total price of both goods is $ 42, which, divided in half, results in $ 21 (42/2).
Therefore, the sunglasses were originally priced at $ 21.
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