The speed limit on a highway is 80 miles per hour. How many miles per minute is this?
Answer:
1.3333
Step-by-step explanation:
1.3333
Conversion Table
miles per hour to miles per minute
mph mi/min
80 1.3333
90 1.5
100 1.6667
The speed of this:
70 miles per hour
1 hour = 60 minutes
70/60 = 7/6
around 1 1/6 mile per minute
hope this helps
The sum of a rational number and an irrational number equals.
A)a terminating decimal.
B) a rational number
C)a fraction
D)an irrational number
Answer:
I think D. but I'm not sure
A 0.60-kg basketball is dropped out of a window that is 6.1mabove the ground. The ball is caught by a person whose handsare 1.5m above the gound.1. How much work is done on e the ball by its weight?What is the gravitational potential energy of the basketball,relative to the ground, when it is ... 2. released and 3. caught?4. How is the change (PEf- PE0) in the ball'sgravitational potential energy related to the workdone by its weight?
The work that gravity does;
W = F.S = mgΔh
In light of the fact that gravity points downward and that displacement is also downward, their angle is 0 and their cosine 1, respectively.
W = mgΔh
g = 9.8 m/s²
Δh = 4.6 m
m = 0.60 kg
W = 0.60 x 9.80 x 4.6
W = 2.7 J
The source of gravitational potential energy in relation to the ground is;
U = mgh
The release point therefore
Ug = mgh(0)
U0 = 0.60 x 9.8 x 6.1
U0 = 35.87 J
At the point of release
U(gf) = mgh(f)
U(gf) = 0.60 x 9.80 x 1.5
U(gf) = 8.820 J
Gravitational potential energy changes are;
ΔU(g) = U(gf) - U0
ΔU(g) = 8.820 J - 35.87 J
ΔU(g) = -27.05 J
Result, we can see that the work done through gravity is the opposite of how the gravitational potential energy has changed.
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what is the volume of the box when x=4
Answer:
Volume of a box =x^3×=4×^3= 64
A fully loaded and fueled spacecraft can weigh close to 3.9 million pounds. What is this weight converted to tons?
Answer:
To convert the weight from pounds to tons, we can divide the weight by 2,000, since there are 2,000 pounds in a ton.
3.9 million pounds / 2,000 = 1,950 tons
So, a fully loaded and fueled spacecraft that weighs close to 3.9 million pounds can be said to weigh 1,950 tons.
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Answer:
BRAINLEST I LOVE M.INECRAFT R O B L O X
Step-by-step explanation:
Which of the following shows the image T of triangle ABC under the transformation (x,y)→(x−4,y+1)?
The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)
To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.
Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).
To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:
(x,y) → (x-4, y+1)
(a,b) → (a-4, b+1)
Therefore, the image of vertex A is A'(a-4, b+1).
Similarly, we can find the images of vertices B and C:
B'(c-4, d+1)
C'(e-4, f+1)
Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)
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What is the area of the following triangle?
Answer:
\( \frac{1}{2} \times base \times height\)
pls like and mark as brainliest if it helpz!
What are the solutions to the equation x minus StartFraction 7 Over x EndFraction = 6 x = –7 and x = 1 x = –6 and x = –1 x = –1 and x = 7 x = 1 and x = 6
Answer:
c
Step-by-step explanation:
The solution to the equation is x = -1 and x =7, the correct option is C.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
The equation is
x - (7/x) = 6
On solving the equation,
(x² -7) = 6x
x² - 7 = 6x
x² -6x -7 =
x² - 7x +x -7 = 0
x( x-7) +1(x-7)= 0
(x+1)(x-7) = 0
x = -1,7
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Is there a difference between \(-\frac{x}{y}\) and \(\frac{-x}{-y}\) ?
Do they mean different things?
There is a difference between the expressions -x/y and -x/-y
How to determine if there is a difference between the expression?The expressions are given as:
-x/y and -x/-y
When the expression -x/-y is evaluated, we have:
-x/-y = x/y
This means that
-x/y = -x/y
-x/-y = x/y
When the above expressions are compared, we can see that both expressions are not equal
Hence, there is a difference between the expressions -x/y and -x/-y
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2.
Carla is 5 years old and Jim is 13 years younger than Peter. One year ago, Peter's
age was twice the sum of Carla's and Jim age. How old is each child now?
Step-by-step explanation:
enjoyyyyyy brooooooooooooooooo
Find the weight of a 176-cm male to the nearest kg whose BSA = 2.3.
The weight of the male that has a body surface area of 2.3 would be = 108kg
What is Body Surface Area (BSA)?The body surface area (BSA) is defined as the parameter that can be used to estimate the surface area of a person's body based on body weight and height.
The formula for BSA = √w×h/3600
The weight of the male = X
The height of the male = 176cm
The BSA = 2.3
From the formula, make w the subject of formula;
w = BSA²× 3600/h
w = 2.3²× 3600/176
w= 5.29×3600 /176
w = 19044/176
w = 108kg
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A nutritionist wants to know how the taste of artificial sweeteners impacts food choices of diabetic patients. From which group would it be best to take a sample?
all patients
both type 1 and type 2 diabetic patients
patients who do not eat any artificial sweeteners
patients who eat mostly artificially sweetened foods
The nutritionist should collect data from all diabetic patients to obtain accurate results.
What is the ideal population for this study?This study aims at analyzing the food choices of diabetic patients. Because of this, the population studied should be diabetic patients including different types such as gestational, type I and II.
Moreover, because this affects to all diabetic patients, they all should be included even if they do not usually eat foods with arficial sweeteners.
Based on this, the best population is all diabetic patients.
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Answer:
A!!^^
Step-by-step explanation:
(8x + 6) - (x + 4).
Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.
What is the input?
Answer:
$577
Step-by-step explanation:
Let y = amount of money in the account.
Let x = number of months.
The withdrawals are always the same amount and occur every month, so this is a linear relation.
We are given two points of the relation: (5, 442) and (13, 226).
y = mx + b
m = (442 - 226)/(5 - 13) = 216/(-8) = -27
The slope, -27, represents the amount she withdraws each month.
y = -27x + b
442 = -27(5) + b
442 = -135 + b
b = 577
y = -27x + 577
b = y-intercept = initial amount
Answer: The input was $577.
Answer: B, B, and C
Step-by-step explanation: yo mama
Q1 Logarithmic Functions
An initial amount of $1200 is invested into an account earning 4.25% interest compounded annually.
Q1.1 Part a)
Write the equation for the amount of money in the account after t years. Hint: "compounded annually" means that the money will be compounded one time per year.
Q1.2 Part b)
How long will it be until the amount of money in the account reaches $3000 (use a logarithm to find the exact amount of time, and then round your answer to 2 decimal places)?
Q2 Logarithmic Functions
According to the CDC, the relationship between the median weight of a female child and the age of a female child (from 0 to 36 months) can be modeled approximately by W=7.5+5.9ln(M+1), where
M is the age in months and W is the median weight in pounds.
Q2.1
Graph this function in an appropriate window. Make sure to label axes, scale, and all important features of the graph.
Q2.2
Determine W ^−1(28). What does this mean in the given context?
This means that the median weight of a female child at 31.48 months is 28 pounds (approximately) base on logarithmic function.
Logarithmic function calculation.
Q1.1: The equation for the amount of money in the account after t years, compounded annually, can be given by:
A = P(1 + r/100)^t
where A is the amount of money in the account after t years, P is the principal amount invested, r is the annual interest rate, and t is the number of years.
Plugging in the values given in the problem, we get:
A = 1200(1 + 4.25/100)^t
Q1.2: We need to solve for t in the equation:
3000 = 1200(1 + 4.25/100)^t
Dividing both sides by 1200, we get:
2.5 = (1 + 4.25/100)^t
Taking the natural logarithm of both sides, we get:
ln 2.5 = t ln (1 + 4.25/100)
Solving for t, we get:
t = ln 2.5 / ln (1 + 4.25/100) ≈ 15.91 years
So, it will take approximately 15.91 years for the amount of money in the account to reach $3000.
Q2.1: To graph the function W = 7.5 + 5.9 ln(M + 1), we can use a graphing calculator or software. Here is a possible graph:
Graph of W = 7.5 + 5.9 ln(M + 1)
Q2.2: To find W ^−1(28), we need to solve the equation:
28 = 7.5 + 5.9 ln(M + 1)
Subtracting 7.5 from both sides, we get:
20.5 = 5.9 ln(M + 1)
Dividing both sides by 5.9, we get:
ln(M + 1) ≈ 3.474576
Taking the inverse logarithm of both sides, we get:
M + 1 ≈ e^3.474576
M ≈ e^3.474576 - 1 ≈ 31.48 months
So, W ^−1(28) ≈ 31.48 months. This means that the median weight of a female child at 31.48 months is 28 pounds (approximately).
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A train leaves the station and has to travel 486km. The train maintains a speed of 120km. After travelling for 3 hours and 15 minutes, how much further does the train have to travel to reach its destination?
Answer:
I think its 2 hours 30 minutes
Step-by-step explanation:
Solve the proportion.
w 100
88
3
a.
1
b. 9
A
B
C. 8
d.
Please select the best answer from the choices provided
OD
000
C. 8
8/3 = g/3
, x3 both side
8/3 x 3 = g
8/3 x 3/1 = g
24/ 3 = g
8 = g
Hope this helps!
The cone holds 12 cubic inches of grout. When the container below is fullit will hold____cubic inches.
Answer:
brainliest?
Step-by-step explanation:
the amount of space taken up by the cylinder, measured in cubic units ... A cylindrical container is used to hold water. It has a diameter of 30 ... A brand new filled can of chicken broth is 10 cm tall and has a radius of 10 cm. Mishka ... Isabella's Ice Cream Parlor uses waffle cones that are 5 inches in diameter and 6 inches tall.
Complete the table by rounding the given number to the given place value
The given number is 41556
The last digit on the right is the unit digit
The next digit to the left of the unit digit is the tens digit. To round the number to the nearest ten, we would consider the units digit. Since it is greater than or equal to 5, the tens digit increases by 1. Thus, rounding to the nearest ten, it becomes
41560
The next digit to the left of the tens digit is the hundreds digit. To round the number to the nearest hunderd, we would consider the tens digit. Since it is greater than or equal to 5, the hundreds digit increases by 1. Thus, rounding to the nearest hundred, it becomes
41600
The next digit to the left of the hunderd digit is the thousands digit. To round the number to the nearest thousand, we would consider the hundreds digit. Since it is greater than or equal to 5, the thousand digit increases by 1. Thus, rounding to the nearest thousand, it becomes
42000
please help! (its in the pic) thank you! :)
11. Mr. Egan has 5 more students in his class than Ms. Cyrus.
Together they have 87. How many students does Ms. Cyrus have
in her class?
Answer:
Ms.Cyrus's class has 46 students
Step-by-step explanation:
If there is 877 total then I will take 5 away to get 82, then divide 82/2 and that equals 41, then add 41 to 5 and you get 46, the answer
Answer: 435 or 17.4
Step-by-step explanation:
You can tell that is an irrational number because it has a what?
Answer:
Can't be written as fraction
Step-by-step explanation:
Irrational Numbers are Real Numbers which are not rational , which means that it can't be written as fraction
How would I mark the numberline?
Answer:
-4 < x ≤ 1.5
Step-by-step explanation:
First we will need to determine what signs to use for our inequality:
An open circle represents either greater than (>) or less than (<)A closed circle represents either greater than or equal to (≥) or less than or equal to (≤)According to the picture, we have one of each
The point on -4 will be either > or <The point on 1.5 or 3/2 will be ≥ or ≤So we need to write an equality for each point and then combine them
The sign of the inequality will "point" in the direction of the shaded line as long as the variable is on the left side of the inequalityThe first inequality will be x > -4 because here the shading is "pointing" to the right just as the inequality sign >
The second inequality will be x ≤ 1.5 because here the shading is "pointing" to the left just as the inequality sign ≤
Now to combine, we arrange the two number values that we have from least to greatest with the smallest number being on the leftmost side of the inequality and the larger number being on the rightmost side of the inequality.
So here -4 will be on the left and 1.5 will be on the rightThen we put x in the middle and add the signs that we have
Keep in mind, your "smaller numbered inequality" sign will be "flipped" because it will read backwards, but it is still equivalent to the same thingSo our complete inequality will read -4 < x ≤ 1.5
Use a calculator to solve the following equation for θ on the interval [−π2,π2]. csc(θ)=−5 Select all correct answers.
\(csc(\theta )=-5\qquad -\frac{\pi }{2}<\theta <\frac{\pi }{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=-5\implies \stackrel{\textit{using the reciprocal of } csc(\theta )}{\cfrac{1}{sin(\theta )}=-5}\implies \cfrac{1}{-5}=sin(\theta ) \\\\\\ sin^{-1}\left( -\frac{1}{5} \right) = sin^{-1}[sin(\theta )]\implies sin^{-1}\left( -\frac{1}{5} \right) = \theta \implies \begin{array}{llll} -11.54^o\\ ~\hfill or\\ 348.46^o \end{array} \approx \theta\)
The value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval [−π/2,π/2].
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
cosec(θ)=−5 for interval [−π/2,π/2].
We know Sinθ=1/cosecθ
Cosecθ=1/sinθ
Now cosec(θ)=−5
-5=1/sinθ
sinθ=-1/5
θ=sin⁻¹(1/5)
θ=sin⁻¹(1/5)
θ=-11.54⁰ or 348.86⁰
Hence the value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval [−π/2,π/2].
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Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?
possible answers -
By the cross product property, AB2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by AD.
By the cross product property, AB2 = BC multiplied by AD.
The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:
Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.
By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).
Using the proportionality of similar triangles, we can write the following ratio:
\($\frac{AB}{BC} = \frac{AD}{AB}$\)
Cross-multiplying, we get:
\($AB^2 = BC \cdot AD$\)
Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:
\($\frac{AC}{BC} = \frac{AD}{AC}$\)
Cross-multiplying, we have:
\($AC^2 = BC \cdot AD$\)
Now, we can substitute the derived expressions into the original equation:
\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)
It was made possible by cross-product property.
Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
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1. 18x^3-2x^2+4x-1
1.1 How many terms are in 18x^3-2x^2+4x-1
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.
In this polynomial, we have:
Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)
Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)
Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)
Term 4: -1 (This is a constant term with a degree of 0.)
We can see that there are four distinct terms separated by addition and subtraction operations:
18x³, -2x², 4x, and -1.
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Given the point with Cartesian coordinates, (3√3,−3), find the polar coordinates of the point.
Answer: (6,11π/6).
Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so
because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.
So the final answer is (6,11π6).
A machine requires three hours to make a unit of Product A and five hours to
make a unit of Product B. The machine operated for 395 hours, producing a total
of 95 units. How many units of Product B were produced?
Let A unit be a; B unit be b
a + b = 95
b = 95 - a
3a + 5b = 395
3a + 5(95 -a) = 395
3a + 475 - 5a = 395
-2a = -80
a = 40
a + b = 95
40 + b = 95
b = 55
Therefore, a = 40; b = 55.
Hope this helps
The 55 unit of products B were produced.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
A machine requires three hours to make a unit of Product A and five hours to make a unit of Product B.
Let x represents the time taken to make product A and y represents the time taken to make product B.
The machine operated for 395 hours.
So, x + y = 95.
y = 95 - x.
And the machine is producing a total of 95 units.
That means,
3x + 5y = 395.
3x + 5(95 - x) = 395
3x + 475 - 5x = 395
-2x = -80
x = 40.
y = 55.
Therefore, 55 products were unit of product B.
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Our customer retention rate has decreased 10% from last quarters goal of 250 consumers retained. We need to increase our current rate by at least 16% to meet this quarters goal. That means our target is?
well, on the last quarters we rambled about retaining 250 customers, but hell we ended up with 10% less than that
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 250}}{\left( \cfrac{10}{100} \right)250}\implies 25~\hfill \underset{current~amount}{\stackrel{250~~ - ~~25}{\text{\LARGE 225}}}\)
now, we need to increase our current amount by 16% more than that
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{16\% of 225}}{\left( \cfrac{16}{100} \right)225}\implies 36~\hfill \underset{target~amount}{\stackrel{225~~ + ~~36}{\text{\LARGE 261}}}\)