Answer:
7/
Step-by-step explanation:
3/4 * 7/
3 can be crossed
Leaving 7/
Katherine has at least 2 hours of homework every night. If "h" is the number
of hours of homework, write an inequality that represents the sentence
above.
Answer:
[tex]h \geq 2[/tex]
Step-by-step explanation:
h has to be 2 or more since there is at least 2 hours.
72 ounces and 6 steaks = what rate and unit rate
The perimeter of a rectangle is 64 feet. The length is two more than double the
width. Find the dimensions of the rectangle.
(Remember Perimeter of rectangle = 2L+ 2w)
Answer:
To solve this problem, we can set up the following equation:
2L + 2W = 64
We are told that the length of the rectangle is two more than double the width, so we can write the following equation:
L = 2W + 2
Substituting this equation into the first equation, we get:
2(2W + 2) + 2W = 64
Simplifying this equation, we get:
6W + 4 = 64
Subtracting 4 from both sides, we get:
6W = 60
Dividing both sides by 6, we get:
W = 10
The width of the rectangle is 10 feet.
To find the length of the rectangle, we can substitute this value back into the equation L = 2W + 2 to get:
L = 2(10) + 2
= 20 + 2
= 22
The length of the rectangle is 22 feet.
Therefore, the dimensions of the rectangle are 10 feet by 22 feet.
Step-by-step explanation:
Help pls due right now
Will give brainlist
Answer:
D. 1.89 sq. m
Step-by-step explanation:
Plz mark brainliest
area of a parallelogram help wanted ty
The area of the parallelogram is 72 square units. Option B
How to determine the area of the parallelogramThe formula for calculating the area of a parallelogram is expressed as;
A = bh
Given that;
A is the area of the parallelogramb is the base of the parallelogramh is the height of the parallelogramFrom the information given, we have that;
The base of the parallelogram = x + yThe height of the parallelogram = hNow, substitute the values
x + y = 8 + 4
add the values
x + y = base = 12 units
h = 6 units
Now, substitute the values into the formula, we get;
Area, A = 12(6)
multiply the values
Area, A = 72 square units
Hence, the value is 72 square units
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Which of the following lines is perpendicular to the line passing through the points (-3, 4) and (-5, 6)?
The equation of the perpendicular line will be x + y - 5 = 0. Then the correct option is B.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line passing through (-5, 6) and (-6, 5) will be given as,
(y - 6) = [(5 - 6) / (- 6 + 5)](x + 5)
y - 6 = (x + 5)
y = x + 1
The equation of the line that is perpendicular to the above line is given as,
y = - x + c
The equation of the line is passing through (3, 2)
3 = - 2 + c
c = 5
Then the equation of the perpendicular line will be given as,
y = -x + 5
x + y - 5 = 0
The equation of the perpendicular line will be x + y - 5 = 0. Then the correct option is B.
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The complete question is given below.
A motorboat travels 244 kilometers in 4 hours going upstream and 665
kilometers in 7 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Answer:
Rate of the current: 19 kilometers per hour
Rate of the boat in still water: 80 kilometers per hour
Decompose the fraction 1 3/4
Decomposition of the fraction [tex]1\frac{3}{4}[/tex] =7/4 = 17/4 - 10/4
Here, the numerator, or top number, 7, indicates how many pieces we will examine.
Please look at figure a and pay attention to the three coloured components. The bottom number, our denominator, provides the total number of components. As a result, pay close attention to figure a. There are a total of four parts, numbered 1, 2, 3, and 4. However, since we are working with 7/4, we will just examine the three shaded parts.
7/4 = 17/4 - 10/4
7/4 = 11/4 - 4/4
Unit fraction decomposition will be used. Unit fraction - what is it? What would we focus on if we just looked at one element? It is one in four, or 1/4. Because this is the first of a series that includes 1, 2, 3, and 4. The third component would also be 1/4, and the second piece would be 1/4.
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50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
c = 52 yards
Step-by-step explanation:
You have to use the Pythagorean theorem to solve this question.
[tex]a^2+b^2=c^2[/tex]
The hypotenuse is longest side of a triangle.
Lets substitute in our values:
[tex]20^2+48^2=c^2[/tex]
Lets simplify this to:
[tex]400 + 2304 = 2704[/tex]
Now we need to find the square root of 2704:
[tex]\sqrt{2704}=52[/tex]
Therefore, the hypotenuse is 52 yards long.
a rectangular garden has length twice as great as it’s width. a second rectangular garden has the same width as the first garden and length that is 4 meters greater than the length of the first garden. the secon garden has area of 70 square meters. what is the width of the two gardens?
The width of the two gardens will be equal to 5 feet.
What is the area of the rectangle?A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that a rectangular garden has a length twice as great as it’s width. a second rectangular garden has the same width as the first garden and a length that is 4 meters greater than the length of the first garden. the second garden has an area of 70 square meters.
For the first rectangle, the dimensions will be,
L = 2w
For second rectangle width is same then the area is,
L x w = 70
( 2w +4 ) x w = 70
2w² + 4w - 70 = 0
w² + 2w -35 = 0
w² + 7w - 5w -35 = 0
w(w + 7 ) -5(w+7) = 0
w =-7 and w = 5
Hence, the width is w = 5 ft.
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What is the surface area of the cylinder with height 8 mi and radius 6 mi? Round your answer to the nearest thousandth.
Answer:ANSWER would either be 120π or about 376.8
Step-by-step explanation:
A=2πrh+2πr2
A=2π*6*8+2π*6*2
A=96π+24π
A= 120π
or
A≈376.8
ANSWER would either be 120π or about 376.8
Answer: the real answer is 527.788 the top answer is wrong I did it and it said it was wrong
Step-by-step explanation:
A line is parallel to y=2x-8 and intersects the point (-4,-1) what is the equation of this parallel line?
Answer:
y = 2x + 7
Step-by-step explanation:
y + 1 = 2 ( x + 4 )
y = 2x + 8 - 1
y = 2x + 7
State the order and type of each transformation of the graph of the function
ƒ(x) = –(x + 1)3 + 1 as compared to the graph of the base function
Answer:
steps below (C)
Step-by-step explanation:
1. x³ -> (x+1)³ ... horizontal translation left 1 unit
2. (x+1)³ -> -(x+1)³ .... reflection over x axis
3. -(x+1)³ -> -(x+1)³ + 1 ... vertical translation up 1 unit
Graph the parabola.
y=x²+2x+2
(Will mark brainliest)
Answer:
Step-by-step explanation:
Tides The length of time between consecutive high tides is 12 hours and 25 minutes. According to the National Oceanic and Atmospheric Administration, on Saturday, April 26, 2014, in Charleston, South Carolina, high tide occurred at 6:30 am (6.5 hours) and low tide occurred at 12:24 pm (12.4 hours). Water heights are measured as the amounts above or below the mean lower low water. The height of the water at high tide was 5.86 feet, and the height of the water at low tide was − 0.38 foot.
(a) Approximately when will the next high tide occur?
(b) Find a sinusoidal function of the form
y = A sin(ωx – ϕ) + B
that models the data.
(c) Use the function found in part (b) to predict the height of the water at 3 pm on April 26, 2014.
Answer:
(a) The next tide will occur at 6:55pm
(b) [tex]y = 3.12 \cos(\frac{24\pi}{149}(x - 6.5)) + 2.74[/tex]
(c) The height is: 2.904ft
Step-by-step explanation:
Given
[tex]T_1 = 12hr:25min[/tex] --- difference between high tides'
Solving (a): The next time a high tide will occur
From the question, we have that:
[tex]High =6:30am[/tex] --- The time a high tide occur
The next time it will occur is the sum of High and T1
i.e.
[tex]Next = High + T_1[/tex]
[tex]Next = 6:30am + 12hr : 25min[/tex]
Add the minutes
[tex]Next = 6:55am + 12hr[/tex]
Add the hours
[tex]Next = 6:55pm[/tex]
Solving (b): The sinusoidal function
Given
[tex]High\ Tide = 5.86[/tex]
[tex]Low\ Tide = -0.38[/tex]
[tex]T = 12hr:25min[/tex] -- difference between consecutive tides
[tex]Shift = 6.5hr[/tex]
The sinusoidal function is represented as:
[tex]y = A\cos(w(x - C)) + B[/tex]
Where
[tex]A = Amplitude[/tex]
[tex]A = \frac{1}{2}(High\ Tide - Low\ Tide)[/tex]
[tex]A = \frac{1}{2}(5.86 - -0.38)[/tex]
[tex]A = \frac{1}{2}(6.24)[/tex]
[tex]A = 3.12[/tex]
[tex]B = Mean[/tex]
[tex]B = \frac{1}{2}(High\ Tide + Low\ Tide)[/tex]
[tex]B = \frac{1}{2}(5.86 - 0.38)[/tex]
[tex]B = \frac{1}{2}(5.48)[/tex]
[tex]B = 2.74[/tex]
[tex]w = Period[/tex]
[tex]w = \frac{2\pi}{T}[/tex]
[tex]w = \frac{2\pi}{12:25}[/tex]
Convert to hours
[tex]w = \frac{2\pi}{12\frac{25}{60}}[/tex]
Simplify
[tex]w = \frac{2\pi}{12\frac{5}{12}}[/tex]
As improper fraction
[tex]w = \frac{2\pi}{\frac{149}{12}}[/tex]
Rewrite as:
[tex]w = \frac{2\pi*12}{149}[/tex]
[tex]w = \frac{24\pi}{149}[/tex]
[tex]C = shift[/tex]
[tex]C=6.5[/tex]
So, we have:
[tex]y = A\cos(w(x - C)) + B[/tex]
[tex]y = 3.12 \cos(\frac{24\pi}{149}(x - 6.5)) + 2.74[/tex]
Solving (c): The height at 3pm
At 3pm, the value of x is:
[tex]x=3:00pm - 6:30am[/tex]
[tex]x=9.5hrs[/tex]
So, we have:
[tex]y = 3.12 \cos(\frac{24\pi}{149}(x - 6.5)) + 2.74[/tex]
[tex]y = 3.12 \cos(\frac{24\pi}{149}(9.5 - 6.5)) + 2.74[/tex]
[tex]y = 3.12 \cos(\frac{24\pi}{149}(3)) + 2.74[/tex]
[tex]y = 3.12 \cos(\frac{72\pi}{149}) + 2.74[/tex]
[tex]y = 3.12 *0.0527 + 2.74[/tex]
[tex]y = 2.904ft[/tex]
help me pls the question is in the picture
Answer:
M<C = 37 degrees
M<D = 86 degrees
M<DEC = 111 degrees
Step-by-step explanation:
The exterior angle theorem can be measured by the hypotenuse of a 90 degree angle. Since there is no hypotenuse in the matrix, you don't need to make it positive :)
Therefore, after using this theorem, I came to the conclusion that m/C would be 37 degrees, since I calculated the measure of the angle. I used the same tactic on m/D and m/DEC.
I hope this helps :)
Marcus makes the statement "15 more than twice a number is equal to 5” What number makes Marcus's statement true?
O-5
O 7.5
O -2.5
O 10
So we know that we need to add 15 to the double of this number. We know we need to add 15 since it says "15 more than" and we know we need to double/multiply the number by two since it says "twice a number"! We also know that this mystery number equals 5.
Therefore, we can set up our equation and solve! The variable x is used to represent the number we're looking for!
2x + 15 = 5
2x = -10
x = -5
So, your answer should be -5!
Mrs. Bike was looking for books at the library. She decided to check
out 2 books from each shelf in the children's section. Which expression
below can represent the total number of books Mrs. Bike checked out if
there are v number of shelves in the children's section?
1) x + 2
2) 2 - v
3) v x 2
4) 2 divided by v
Answer:
2 x v
Step-by-step explanation:
Two books per shelf would mean 2+ per shelf.
So if she took out 5 shelves it would be 2+2+2+2+2 in other words. 5*2.
So the equation would be 2 x v
Simplify: 9- 4x + 2x + 8x° +1+ 6x?
Answer:
10+12x
Step-by-step explanation:
9−4x+2x+8x+1+6x
(9+1)+(−4x+2x+8x+6x)
10+12x
For what value of x does 4^x =(1/8)^x+5
9514 1404 393
Answer:
(b) -3
Step-by-step explanation:
It can work well to rewrite the equation as powers of 2.
[tex]4^x=\left(\dfrac{1}{8}\right)^{x+5}\\\\(2^2)^x=(2^{-3})^{x+5}\qquad\text{as powers of 2}\\\\2x=-3(x+5)\qquad\text{equate exponents}\\\\5x=-15\qquad\text{add $3x$}\\\\\boxed{x=-3}\qquad\text{divide by 5}[/tex]
__
Check
4^-3 = (1/8)^(-3+5) ⇒ 1/64 = (1/8)^2 . . . . true
Can someone help me with 18 and 20 please
Answer:
both are b
Step-by-step explanation:
the point is equal to -2 because there is a point on -2 and with 20 it b because 2 time 10 is 20 +26 makes 46 which makes 43 less than 46
A certain forest covers an area of 4000 km². Suppose that each year this area decreases by 4.25%. What will the area be after 15 years?
The area of the forest after 15 years will be 2189.4
What is an area?The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.
i = The initial area of the forest = 4200km
r = Per year decrease is = 4.25%
n = Number of years = 15
The required formula is
The area of forest will be
A = i (1-r)^n
A = 4200(1-0.425)^15
A= 2189.4
Hence, the area of the forest will be 2189.4
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Write an equation
Y=|x| 10 units down
To translate the point P(x,y) , a units left and b units down, use P'(x−a,y−b) .
Write an equation Y=|x| 10 units down?y=|x-10|-3
Inside, is opposite. So therefore, to move it right 10 units, you subtract ten. However, outside of the absolute value, it is normal, so to move it down 3 units, you subtract 3.The number –45.3 is 45.3 units away from zero and the number 10 is 10 units away from zero. Therefore, the absolute value of any number is really a positive number (or zero).As we know that absolute value means remove the negative sign from the number and make it positive. So we get the absolute value of -10 as 10. So we get the absolute value of 10 as 10. Hence absolute value of -10 and 10 is 10 and 10 respectivelyTo know more about units visit:
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Answer:
Triangle, rectangle
Step-by-step explanation:
I solved it visually
Answer:
Triangle and rectangle
what is the slope of the table below? 3/8 15/12 9/10 0/7
The slope of the table shown in the image attached below is equal to: D. 1/3.
How to calculate the slope of the given table?Mathematically, the slope of the given table can be calculated by using the following mathematical expression;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
From the information provided in the table, we have the following data points:
Points on x-axis = (-2, 2).
Points on y-axis = (-4, -2).
Substituting the given points into the slope formula, we have;
Slope, m = (12 - 8)/(15 - 3)
Slope, m = 4/12
Slope, m = 1/3
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The fourth term of an arithmetic sequence is 20. The common difference is -1/5 times the first term. Graph the sequence.
Answer:
To graph an arithmetic sequence, you can start by plotting the first few terms of the sequence on the coordinate plane. The x-axis represents the term number, and the y-axis represents the value of the term.
In this case, we are given that the fourth term is 20 and the common difference is -1/5 times the first term. Let's say the first term is x. Then, the second term is x - (1/5)x = 4/5x, the third term is 4/5x - (1/5)x = 3/5x, and the fourth term is 3/5x - (1/5)x = 2/5x.
Therefore, the first four terms of the sequence are x, 4/5x, 3/5x, and 2/5x. If we plot these terms on the coordinate plane, we get the following graph:
(0, x)
(1, 4/5x)
(2, 3/5x)
(3, 2/5x)
This graph represents the first four terms of the arithmetic sequence. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n - 1)d, where a_1 is the first term, d is the common difference, and n is the term number.
For this sequence, the fifth term is x + (-1/5)x = 4/5x. To find the sixth term, we can use the same formula: a_6 = x + (-1/5)x = 3/5x.
By continuing this process, we can plot the rest of the terms of the arithmetic sequence on the coordinate plane.
Step-by-step explanation:
find the measure of each side of an equilateral triangle whose area is √3 cm
STEP BY STEP
Answer:
s = 2 cm
Step-by-step explanation:
Given the following data;
Area of equilateral triangle = √3 cm
Mathematically, the area of an equilateral triangle is given by the formula;
A = √3 * s²/4
Where, s represents the sides of length.
Substituting into the formula, we have;
√3 = √3 * s²/4
Dividing both sides by √3, we have;
1 = s²/4
Cross-multiplying, we have;
4 = s²
Taking the square root of both sides, we have;
s = √4
s = 2 cm
Is f(x)= 7e^-21 an example of exponential growth or decay?
Answer:
[tex]\small\mathfrak\green{here \: is \: your \: answer...} \\ \\ \small\mathfrak\pink{exponential \: decay...} \\ \\ \small\mathfrak\green{hope \: it \: helps...}[/tex]
Is it possible that
1952
is the remainder of 375139654 - 1953?
Please help me faster if know what the answer please answer???!?!?!
Answer:
17
Step-by-step explanation:
First of all we find the total number of students:
4+6+2+2+3+4+6+3=30
Then we find the amount of seniors:
2+3=5
Now to find the probability we find the percentage of students which are seniors:
[tex]\frac{5}{30}[/tex] Which is also [tex]\frac{1}{6}[/tex] and when you put that into your calculator you get:
0.16666... which is a decimal, we need a percentage, so we multiply by 100 to convert it:
0.16666...×100=16.666...
which is equal to 17 once rounded as the third digit (6) rounds up