Temperature at 6 a.m. was:
Houston = 64 °F,Buffalo = - 13 °F.The difference is:
64 - (-13) = 64 + 13 = 77 °FPart BTemperature in Buffalo at noon was 19 °F greater:
- 13 + 19 = 19 - 13 = 6 °FWhat is the product of -2/7 and -3/7 ?
Answer:
6/49
Step-by-step explanation:
-2/7 * -3/7 = (-2 * -3) / (7*7) = 6/49
A dog is running
around a circular track of radius 14
meters at a constant speed of 9 meters
per second. His owner is standing at a
distance 48 meters from the center of
the track.
-How fast is the angle theta changing?
- How fast is the distance between the dog and his owner changing when the dog
is at the northernmost point of the track?
The angle θ is changing is 36.9 degrees per second.
The distance between the dog and its owner when the dog is 46 meters at the northernmost point of the track.
As per the question, the circumference of the circular track is
⇒ 2 × 3.14 × 14 = 87.92 meters.
Since the dog is running at a constant speed of 9 meters per second, it will take the dog 87.92 / 9 = 9.77 seconds to complete one lap of the track.
The angle θ is defined as the angle between the position of the dog and the position of the owner, measured from the center of the track.
Since the track is circular, the angle theta will change at a constant rate of 360 degrees per lap. Since it takes the dog 9.77 seconds to complete one lap, the rate at which the angle θ is changing is 360 / 9.77 = 36.9 degrees per second.
To answer the second question, we must first calculate the distance between the dog and its owner when the dog is at the northernmost point of the track.
The owner is standing a distance of 48 meters from the center of the track, and the radius of the track is 14 meters, the distance between the dog and its owner is given by the Pythagorean theorem: d = √(48² - 14²) = 46 meters.
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Farmer and Taylor formed a partnership with capital contributions of $255,000 and $305,000, respectively. Their partnership agreement calls for Farmer to receive a $81,000 per year salary allowance. The remaining income or loss is to be divided equally. If the net income for the current year is $201,000, then Farmer and Taylor's respective shares of income are:
Help please what is this answer
Answer: there is nothing
Step-by-step explanation: there is nothing to see so if there is no photo nobody can help you. Sorry
At the district competition for 5th grade jump-roper of the year, the following number of jumps were recorded per student:
203, 245, 237, 233, 90, 100, 100, 277, 265, 264, 265, 285, 288, 291, 291, 290, 300, 224, 200, 257, 290, 279, 266, 288
What is the mean number of jumps, rounded to the nearest hundredth?
What is the median number of jumps?
At the district competition for 5th grade jump-roper of the year, the mean number of jumps, rounded to the nearest hundredth is 242.83 and the median number of jumps is 265
The mean can be calculated as follows:
Observations (the number of jumps each student without pausing was counted); There were 24 observations
Mean is calculated by adding all of the observations together.
Mean = (203 + 245 + 237 + 233 + 90 + 100 + 100 + 277 + 265 + 264 + 265 + 285 + 288 + 291 + 291 + 290 + 300 + 224 + 200 + 257 + 290 + 279 + 266 + 288)/24
Mean = 5828/24
Mean = 242.83
to figure out the median;
The observations must first be put into either ascending or descending order.
Ordered in descending order
90, 100, 100, 200, 203, 224, 233, 237, 245, 257, 265, 265, 265, 266, 277, 279, 285, 288, 288, 290, 290, 291, 291, 300
Given that there have been 24 observations (an even number).
The middle number, 265 and 265 at the midway of items 12 and 13, is used to calculate the median.
The average of these figures is then determined.
Median = 1/2 (265 + 265)
Median = 265
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help please! I dont understand! :(
brainliest
If I don’t get this answer I will fail my math class and get my phone taken so someone pls help me with this
2
x² + yz use x = 4, y = 6 and z= 3.
Answer: 50
Step-by-step explanation:
Assuming your expression is 2x^2+yz, just plug the numbers in: 2*4*4+6*3 = 32 +18 = 50
Plugging in just means looking at the values the probme give syou for variables (x=4 for example) and replacing the variable with that number in the expression you want to find the value of.
an order calls for 500 ml of heparin is to be administered over 18 hours. the tubing size delivers 15 drops per gtt/ml. what is the drip rate?
If the tubing size delivers 15 drops per gtt/ml, then the drip rate is 7 gtt/min.
What is the Drip rate and How can u calculate it?
This easy calculation can be used to determine the IV drip rate: Total Volume (mL)/Time (min) x Drop Factor (gtt/mL) equals IV Drip Rate (gtt/min) When given the volume to be injected, the drip rate, and the drop factor, this equation can also be rearranged to determine the amount of time needed for an infusion.
Based on how many drops (gtt) are given to the patient each minute, the rate of an intravenous infusion is described as having an IV drip rate. The amount that needs to be infused in total, the type of tubing used (microdrip vs. macrodrip), and the length of time the infusion is scheduled to run all have an impact on this.
We will use the drip rate formula
Total Volume(mL)/Time (min) x Drop Factor(gtt/mL) = IV Drip Rate (gtt/min)
18 hours = 18 × 60min
= 1080 mins
IV Drip Rate = 500/1080 × 15
= 7 gtt/ min
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A 4-sided polygon is classified as a quadrilateral.
True
False
Answer:
TRUEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
Find the p-value for a two-tailed hypothesis test with a test statistic of z = 2.57.
find the p-value
Answer:
z=10.5. give me brainly
Write and solve the inequality: Sixty-three is at most triple the difference of double a number and three
Answer: n=30
Step-by-step explanation:
first, you subtract 3, as 'and' refers to addition and the opposite is subtraction. this gives you 60.
then you divide by 2, which gives you 30.
if you want, you can input 30 into the equation the situation creates, which is 63 = 2n + 3. input 20 makes 2(30) + 3, which is 60 + 3, which is 63.
Can someone pls help I’ll give brainliest and tons of points
Answer:12,-8
Step-by-step explanation:
3 to the right 1 down
Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 20 gallons of fuel, the airplane weighs 2122 pounds. When carrying 35 gallons of fuel, it weighs 2296 pounds. How much does the airplane weigh if it is carrying 45 gallons of fuel?
The weight of 45 gallons of fuel is 2412 pounds.
What is weight ?
The force exerted on an object by gravity is known as the weight of the object in science and engineering. The gravitational force acting on the item is referred to as weight in several common textbooks. Some people refer to weight as a scalar quantity that measures the gravitational force's strength.
Weight is a gauge of how strongly gravity is pulling something down. It relies on the mass of the item and the acceleration brought on by gravity, which on Earth is 9.8 m/s2. F = m 9.8 m/s2 is the formula for computing weight, where m is the object's mass in kilograms and N is the object's weight in Newtons (N).
The weight of one gallon is
w = (2296 - 2122) / (35 - 20)
= 174 / 17
= 11.6 pounds
Now, to answer the question, we need to add the weight of (45-35) = 10 gallons of fuel to the weight of the plane
carrying 35 gallons of fuel, 2296 pounds.
So, the answer is 2296 + 10*11.6
= 2412 pounds.
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Radayna’s family put a new ladder on the side of their swimming pool. As shown below, the pool is 4 feet tall and the distance on the ground between the pool and where the ladder touches the ground is 3 feet.
What is the length, in feet, of the new ladder that Radayna’s family put on the side of their swimming pool?
A
25
B
12
C
7
D
5
The required length of the ladder using the Pythagorean theorem is (D) 5 ft.
What is the Pythagorean theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.
According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
The hypotenuse (third side) of a right-angled triangle, for instance, can be determined using the formula c² = a² + b², where 'c' stands for the hypotenuse and 'a' and 'b' are the two legs.
So, the length of the ladder will be:
Pythagorean theorem: c² = a² + b²
Now, substitute the values and calculate as follows:
c² = a² + b²
c² = 4² + 3²
c² = 16 + 9
c² = 25
c = √25
c = 5ft
Therefore, the required length of the ladder using the Pythagorean theorem is (D) 5 ft.
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Jacket and Jill are planning to meet at the top of the hill. Jack is 2 miles away and Jill is 3 miles away. Jill walks 1.5 miles per hour faster than Jack. It takes them the same amount of time to get there. What are their rates and how long will it take?
Answer:
Jacks Rate: 3 miles per hour
Jills Rate: 4.5 miles per hour
Time: 40 minutes or 2/3 of an hour
Step-by-step explanation:
Setting up the Algebraic Expressions:This problem in it self isn't necessarily too complex, but a crucial part of it is taking the context given and somehow making that into a algebraic expression which we can then use to solve the equation.
Assigning Unknowns and Variables:So let's first assign two unknowns to the rates at which Jack and Jill walk. Since both of there names start with J, I'll use a subscript to differentiate between the two.
[tex]\text{let }J_a=\text{Jack's walking rate}\\\text{let }J_i = \text{Jill's walking rate}[/tex]
Notice that both have a J, but there is a little letter to the right and below, which is a subscript. This way we can easily tell which person we are referring to while not having to write out their entire name as a variable.
Now let's assign two variables. First let's assign distance: [tex]D=\text{distance from top of hill}[/tex]
and let's also assign time to a variable: [tex]t = \text{time in hours}[/tex]
Deriving Equations:Now let's start making some equations! If jack is two miles away from the top of the hill, in general, the distance from the hill can be calculated using the following equation: [tex]D=2-t*j_a[/tex]
Essentially, Jack starts off with a distance of two miles away, and after one hour, Jack will walk [tex]j_a[/tex] miles, this is his rate, what Jake travels in one hour. After another hour passes, he will do the same thing, but twice. So this is why we're multiplying by time. Since for each hour that passes, he will walk a further: [tex]j_a[/tex] miles, meaning he will be that much closer, so we subtract it from 2, the initial distance.
The same logic can be applied to Jill, except with an initial distance of 3 miles and using the unknown: [tex]j_i[/tex] which is Jill's rate. So we get the following equation: [tex]D=3-t*j_i[/tex]
If we're looking for when they reach the top of the hill, that means that the distance from the hill is zero. So let's set both equations to zero.
[tex]0=3-t*j_i\\0=2-t*j_a[/tex]
From here let's solve for time for both equations. So let's start with the first equation.
[tex]0=3-t*j_i[/tex]
From here let's subtract 3 from both sides to get rid of the 3 on the right side.
[tex]0-3=(3-3)-t*j_i\implies-3=-t*j_i[/tex]
from here let's divide both sides by Jill's rate.
[tex]\frac{-3}{j_i} = \frac{-t*j_i}{j_i} \implies \frac{-3}{j_i}=-t[/tex]
From here let's divide both sides by -1 to get t isolated.
[tex]\frac{\frac{-3}{j_i}}{-1} = \frac{-t}{-1} \implies \frac{3}{j_i}=t[/tex]
We can essentially apply the same steps to the equation we derived from Jack's rate.
[tex]0=2-t*j_a\\\\(0-2)=(2-2)-t*j_a \implies -2 = -t*j_a\\\\ \frac{-2}{j_a} = \frac{-t}{j_a} \implies \frac{-2}{j_a} = -t\\\\\frac{\frac{-2}{j_a}}{-1} = \frac{-t}{-1} \implies \frac{2}{j_a} = t[/tex]
Now we have the equations:
[tex]\frac{2}{j_a} = t\\\\\frac{3}{j_i} = t[/tex]
and this represents the time needed to reach the top of the hill (since we set both equations equal to zero)
Substituting and Solving:From here we need to look once more at the question, specifically where it says: "It takes them the same amount of time to get there". So we set the equations equal to each other.
[tex]\frac{2}{j_a} = \frac{3}{j_i}[/tex]
Now we use our last piece of needed context: "Jill walks 1.5 miles per hour faster than Jack". We can set up one more equation: [tex]J_i = J_a+1.5[/tex].
This is super useful to have, since we can now make a substitution give this equation, converting our two-variable equation into a one-variable equation, allowing us to solve for one numerical value.
We have: [tex]\frac{2}{j_a} = \frac{3}{j_i}[/tex] and we know that: [tex]J_i = J_a+1.5[/tex], so let's simply plug in [tex]J_a+1.5[/tex] for [tex]j_i[/tex].
This gives us the equation:
[tex]\frac{2}{J_a}= \frac{3}{J_a + 1.5}[/tex].
Cross Multiply:
[tex]2(J_a+1.5) = 3(J_a) \implies 2J_a + 3 = 3J_a[/tex].
Subtract [tex]2J_a[/tex]:
[tex]3=J_a[/tex].
We can solve for Jills value, since Jill's value is just 1.5 miles per hour more than this, so [tex]J_i = 3+1.5=4.5[/tex]
Now let's take Jacks value and substitute it into his time equation
[tex]t = \frac{2}{3}[/tex]
we can keep this in hours, or we can convert this into minutes. We can convert this in to minutes by multiplying the amount of minutes in an hour by 2/3, so: [tex]60 * \frac{2}{3} = \frac{120}{3} = 40\text{ minutes}[/tex]
A rectangle initially has dimensions 6 cm by 7 cm. All sides begin increasing in length at a rate of 3 cm/s. At what rate is the area of the rectangle increasing after 23 s?
Answer:
The area of the rectangle is increasing at a rate of 54 cm2/s.
Step-by-step explanation:
Polynomial using Remainder Theorem and Factor Theorem checking using synthetic division.
x^4 - x^3 - 3x^2+ 4x + 2 ÷ (x + 2)
Answer: 2 / (x + 2)
Message: If this was helpful, let me know by giving me a thanks! :)
Which of the following properties could be used to rewrite the expression (1/3+2/7) + 3/4 as 3/4 + (2/7 + 1/3)
Answer: Commutative Property
Type an equation for the following pattern.
y=-2 x+[?]
The equation that satisfies the given pattern is y = -2x
Given,
x ; 1, 2, 3, 4, 5
y ; -2, -4, -6, -8, -10
The pattern; y = -2x + ?
We have to find an equation that satisfies the given pattern;
Here,
Take k as ?
Then,
y = -2x + k
Where,
x = 1 and y = -2
Now,
-2 = -2 × 1 + k
-2 = -2 + k
k = -2 + 2 = 0
k = 0
That is,
The equation will be like, y = -2x
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Given quadrilateral ABCD with A(-4,-2), B(-3,2), C(2,4) and D(4,-3). Find the area in square units.
The area of the quadrilateral is equal to √901 square units.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the quadrilateral in a two-dimensional plane is called the area of the quadrilateral.
Given that quadrilateral ABCD with A(-4,-2), B(-3,2), C(2,4) and D(4,-3). Calculate the sides of the quadrilateral by the distance formula,
AB = √[(2+2)² + (-3+4)²]
AB = √(16+1)
AB = √17
CD = √[(4-2)² + ( 4 + 3)²]
CD = √ (4+49)
CD = √53
The area will be calculated as,
Area = AB x CD
Area = √17 x √53
Area = √901 Square units
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1. what is an equation for the line shown?
2. graph the line with equation y=1/3x-5
Answer:
y= -1/2x+2
Start at -5 then go up 1 then right 3
Step-by-step explanation:
One less than five times a number is fewer than twenty-four. 24
Answer: 4 x 4 = 16
Step-by-step explanation: If you want a number one less that 5, subtract 1 from 5, then find a number that you can multiply by the answer to 1-5 to get less than 24. In this case, we used 4, to get 16. 16<24.
The Banana Apple company sells its Golden, Macintosh, and Red Ida apples in mixes Box A costs 3€, Box B 3€ and Box C 4€. Box A contains 4 Golden, 2 Macintosh and 4 Red Ida; Box B contains 6 Golde, 2 Macintosh, and 2 Red Ida; and Box C contains no Golden, 6 Macintosh and 4 Red Ida apples. At the end of the season, the company has altogether 2800 Golden, 2200 Macintosh, and 2300 Red Ida apples left. Determine the number of each kind of boxes that the company should make to maximize their profit.
Answer:
To maximize profit, the Banana Apple company should determine the number of each kind of apple box that they should make. To do this, they need to know the number of each type of apple that they have, as well as the price of each box.
Based on the information provided, the company has 2800 Golden apples, 2200 Macintosh apples, and 2300 Red Ida apples. This means that they can make 700 Box A's (2800 / 4 = 700), 1100 Box B's (2200 / 2 = 1100), and 575 Box C's (2300 / 4 = 575).
The price of each box is also given: Box A costs 3€, Box B costs 3€, and Box C costs 4€. This means that if the company makes 700 Box A's, they will earn 2100€ (700 x 3 = 2100€), if they make 1100 Box B's, they will earn 3300€ (1100 x 3 = 3300€), and if they make 575 Box C's, they will earn 2300€ (575 x 4 = 2300€).
To maximize profit, the company should make as many of the most profitable box as possible. In this case, the most profitable box is Box B, which earns 3€ per box. The company should make 1100 Box B's, which will earn them a total of 3300€.
Answer:
To solve this problem, we need to determine how many boxes of each type the company should make to maximize their profit. We can set up a system of equations to represent the number of apples in each box and the total number of apples the company has.
Let's call the number of boxes of type A x, the number of boxes of type B y, and the number of boxes of type C z. We can represent the number of apples in each box using the following equations:
x + y + z = 2800
4x + 6y + 0z = 2200
2x + 2y + 6z = 2300
To maximize the profit, the company should make as many boxes as possible while still having enough apples to fill all the boxes. We can solve this system of equations using substitution to find the values of x, y, and z that maximize the profit.
First, we can solve the first equation for z in terms of x and y:
z = 2800 - x - y
Next, we can substitute this expression for z into the second and third equations to eliminate z:
4x + 6y + 0(2800 - x - y) = 2200
4x + 6y = 2200
2x + 2y + 6(2800 - x - y) = 2300
2x + 2y + 17600 - 6x - 6y = 2300
2x + 2y = -15300
We can then solve this system of equations using substitution. From the second equation, we have:
4x + 6y = 2200
2x + 2y = -15300
We can solve the second equation for y in terms of x:
y = -15300/2 - x/2
We can substitute this expression for y into the first equation to solve for x:
4x + 6(-15300/2 - x/2) = 2200
4x - 45300 - 3x = 2200
x = (2200 + 45300) / (4 - 3)
x = 13600/1
x = 13600
We can then use this value of x to find the value of y:
y = -15300/2 - 13600/2
y = -13650
Finally, we can use these values of x and y to find the value of z:
z = 2800 - 13600 - (-13650)
z = 1650
Therefore, the company should make 13600 boxes of type A, -13650 boxes of type B, and 1650 boxes of type C to maximize their profit.
Step-by-step explanation:
Determine the measure of angles #1-#20 in the following figure.
Line AB is parallel to Line CD.
Line EF is parallel to Line GH.
Angle #5 = 63⁰
Angle #8 = 80⁰
The measure of all the angles from 1 to 20 is obtained from the concepts related to transversal lines.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
Given, AB || CD and EF || GH.
m∠5 = 63° and m∠8 = 80°.
Now from all the concepts of vertically opposite angles are equal,
pair of alternate angles are equal, the sum of all the sides of interior angles in a triangle is 180°, pair of linear angles is 180°, measure of an exterior angle in a triangle is the sum of two opposite interior angles we obtain that,
m∠1 = 37°, m∠2 = 63°, m∠3 = 80°, m∠4 = 37°, m∠5 = 63°, m∠6 = 80°,
m∠7 = 100°, m∠11, = 63°, m∠12 = 80°, m∠13 = 47°. m∠14 = 63°, m∠15 = 80°,
m∠16 = 47°, m∠17 = 110°, m∠18 = 70°, m∠19 = 110°, m∠20 = 70°.
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How many three-digit natural numbers have digits that sum to 13 and leave a remainder of 1 when divided by 4?
Which quotient is positive? A. -24 ÷6 B. 42-7 C. -35-5 D. 28 ÷ -4
Technically none of them because "quotient" means the answer to a division problem. But the only positive answer is B
Graph the line y=-2/3 x+8 with appropriate labels and scale. Plot the point on the line that represents the solution to the question in part D.
The graph of the line y = (-2/3)x + 8 with appropriate labels and scale has been plotted
The equation of the line is given that
y = (-2/3)x + 8
The given equation is in slope intercept form of the line
y = mx + b
Where m is the slope of the line
b is the y intercept
y is the y coordinate value
x is the x coordinate value
The slope of the line = -2/3
The slope of the line is the change in y coordinates with respect to the change is x coordinates of the line
y intercept is 8
Substitute the value of x in the equation and find the value of y
Plot the graph using the equation
Therefore the graph of the line has been plotted
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I NEED THIS FAST THIS IS TIMED PLEASE
The equations representing the situations are P + S = 384 and 2.5P + 1.25S = 696.25. The correct option is B.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the cost of pizza is $2.5 and the soda is $1.25 and the total cost is $696.25. The total number of the Pizza and the Soda is 384.
The equations can be written as,
P +S = 384
2.5P + 1.25S = 696.25
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22 divided by (7.8-|-3 2/5|)x(-3) to the power of 2 - 9 1/5
Answer:
35.8
Step-by-step explanation:
It looks like you want the value of ...
[tex]\dfrac{22}{7.8-\left|-3\dfrac{2}{5}\right|}\times(-3)^2-9\dfrac{1}{5}[/tex]
EvaluationSimplifying and writing the numbers as decimal values, we have ...
[tex]\dfrac{22}{7.8 -3.4}\times9-9.2=\dfrac{22}{4.4}\times9-9.2=5\times9-9.2\\\\=45-9.2=\boxed{35.8}[/tex]
(18 - 4) to the power of 2
Answer:
196
Step-by-step explanation:
(18-4)^2
14^2 or 14x14
14x14=196