Find the value of each of the following
Answer: C
Step-by-step explanation:
A plane travels 2000 miles in 4 hours.What is the unit rate or miles per hour of the plane
Answer:
500
Step-by-step explanation:
2000/4=500
500*4=2000
Answer:
500 miles per hour
Step-by-step explanation:
4 multiplied by 500 is 2000
What is the midpoint of the segment shown below?
10.
(-3,4)
O A. (-3.3)
O B. (-9,3)
- (-6,-1)
10
C. (- )
D. (-9,3)
Need help please
Answer:
(-9/2,3/2)
Step-by-step explanation:
x coordinate of mid point=(x1+x2)/2
y coordinate of mid point=(y1+y2)/2
You are putting border around a poster frame that is 2 feet by 4 feet . How border will you need to buy?
Answer:
You will need to buy 12 feet of border.
Step-by-step explanation:
PLEASE HELP! Using completing the square to solve x2-5x+3=0. Round to the nearest tenth as needed
Answer:
[tex]\displaystyle x_1=\frac{5+\sqrt{13}}{2}\approx4.3\text{ and } x_2=\frac{5+\sqrt{13}}{2}\approx0.7[/tex]
Step-by-step explanation:
We are given:
[tex]x^2-5x+3=0[/tex]
And we want to solve this via completing the square.
First, we will subtract 3 from both sides. This yields:
[tex]x^2-5x=-3[/tex]
Next, we will factor out the leading coefficient from the left.
In this case, the leading coefficient is simply 1 so we can leave it as is.
Next, we want to add a constant that is half of the b coefficient squared.
In this case, b = -5.
Half of that is -5/2.
Squaring yields 25/4.
So, we will add 25/4 to both sides. Since our leading coefficient is 1, we don't need to multiply by anything when we add it on the right. Hence:
[tex]\displaystyle x^2-5x+\frac{25}{4}=-3+\frac{25}{4}[/tex]
The left side constitutes a perfect square trinomial as shown:
[tex]\displaystyle (x)^2-2\Big(\frac{5}{2} \Big)(x)+\Big(\frac{5}{2}\Big)^2=-\frac{12}{4}+\frac{25}{4}[/tex]
Factor and subtract:
[tex]\displaystyle \Big(x-\frac{5}{2}\Big)^2=\frac{13}{4}[/tex]
Taking the square root of both sides gives:
[tex]\displaystyle x-\frac{5}{2}=\pm\frac{\sqrt{13}}{2}[/tex]
Hence:
[tex]\displaystyle x=\frac{5}{2}\pm\frac{\sqrt{13}}{2}}=\frac{5\pm\sqrt{13}}{2}[/tex]
Approximate:
[tex]\displaystyle x_1=\frac{5+\sqrt{13}}{2}\approx4.3\text{ and } x_2=\frac{5-\sqrt{13}}{2}\approx0.7[/tex]
find the area of the shaded regions. give your answer as a completely simplified exact value in terms of π (no approximations)
Answer:
36π
Step-by-step explanation:
2π9² × 80/360 = area of sector
2π9² × 2/9 = 162π × 2/9 = 18π × 2 = 36π
36π is the area
Plzz help this is due today
Nina purchased a meal for $24. She left a 20% tip. How much was the tip?
Answer:
She left a $4.80 tip.
Answer:
Tip $4.80
Total $28.80
Step-by-step explanation:
20% = 0.2
24 x 0.2 = 4.8
24 + 4.8 = 28.8
A recipe for lemonade calls for 1 cup of sugar and 6 cups of water. How much sugar is used per cup of water?
100 points !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! please answer this question my grade needs to be up .
Write a multi-paragraph response that explains why preparing meals in space is more complicated than preparing meals on Earth. Include information about making the food appealing to astronauts, as well as about the challenges of the environment. Use information from both passages to support your response.
As you write your responses, be sure to:
Review the passages
Create clear, organized paragraphs
Draw information from both passages
Use evidence from the passages to support your points
Pay attention to the grammar, structure and mechanics of your audience
Be sure to include
and introduction
information from the passages to support your explanation
a conclusion
Answer:
Food in space
On earth we have a variety of foods, but we can not enjoy every food in space. Do you know why?In space astronauts eat non-delicious food but some people think the other way around. preparing food in space is complicated for many reasons, some are microgravity, some foods are not perfected for space and some foods do not meet the requirements of space food.
preparing food in space can be very different from earth because of microgravity which makes the food float. According to the text “ no pizza in space” the author states Soft drinks don't work because of microgravity. soda in space is a bit complicated, Because in microgravity the light gas bubbles won’t rush to the top of the liquid to escape.The bubbles of carbon dioxide in carbonated beverages aren't floatable in a weightless environment, so they remain randomly distributed throughout the fluid, even after drinking. astronauts can't sprinkle salt and pepper on their food in space,They just float away because of microgravity. Scientists have made space food better than before and they will make space food better in the future for astronauts.
Some foods are not perfected to go to space because of many reasons. Milk is one of the foods that is not perfected and It is also banned for going into space because milk is dehydrated. According to the text “ No Pizza in Space “ Pizzas have not been perfected yet to go to space.Bread is another food that is not perfected and also banned because the bread crumbs float around, and can fly into an astronaut’s eyes and interfere with important equipment.Ice cream is not perfect to go to space because in space shuttle there is no refrigerator and also scientists have not made an Ice-cream that can go without a refrigerator. Scientists are predicting more food for astronauts as they live longer in space.
Some foods do not meet the requirements of space food because they don't have enough nutrition to provide to astronauts. According to the text “ No Pizza in Space?” the author states that they use caloric requirements based on a World Health Organization equation. The most important thing in developing space foods is making sure that they are tasty, have good nutrient content, and can be easily prepared. Calorie requirements differ for astronauts. An astronaut can choose from many types of foods such as fruits, nuts, peanut butter, chicken, beef, seafood, candy, brownies, etc.Scientists ensure the food that astronauts eat provides them with a balanced supply of vitamins and minerals. In the past space food did not have enough nutrients to provide to astronauts and now it has triple the nutrients to give to astronauts.
In conclusion, preparing food in space is complicated for many reasons, some are microgravity, some foods are not perfected and some foods do not meet the requirements of space food. astronauts need to eat a Nutritionists diet to remain healthy in space as the discover the secrets of the unknown world
hope it helped
Step-by-step explanation:
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
[tex]\sf\qquad\qquad\qquad{\underline{ Food ~in~ space }}[/tex]
Explorers and travelers throughout history have had to develop methods for preserving food and carrying enough food for their journeys. This problem was especially difficult during the time when people made long sea voyages on sailing ships. Great explorers like Columbus, Magellan and Cook carried dried foods and foods preserved in salt and brine.
More recently, refrigeration and canning have provided solutions to the problem of food preservation. However, space travel required that new methods be devised for keeping foods edible. Foods taken into space must be light-weight, compact, tasty and nutritious. They must also keep for long periods without refrigeration. A variety of menus consisting of foods similar to those displayed here provided each astronaut with 2500 or more calories per day.
3x+2y=315
2x+4y=450
How long does it take to do a haircut?
Answer:
1.x
=
105
−
2
y
3
2.x
=
225
−
2
y
Step-by-step explanation:
ad them all up
I need a explanation plz
A family has two cars. During one particular week, the first car consumed 15 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week?
Answer:
Car 1 : 40 miles per gallon
Car 2: 25 miles per gallon
Step-by-step explanation:
family has two cars. During one particular week, the first car consumed 15 gallons of gas. The second car consumed 25 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week
Given that :
Fuel efficiency , car 1 = x
Fuel efficiency , car 2 = y
x + y = 65 - - (1)
15x + 35y = 1475 - - - (2)
x = 65 - y
15(65-y) + 35y
975 - 15y + 35y = 1475
20y = 14875 - 975
20y = 500
y = 25
Put y = 25 in (1)
x + y = 65
x + 25 = 65
x = 65 - 25
x = 40
-2(x-3)<10 what is x please help me
Answer:
x>-2
Step-by-step explanation:
-2x+6<10
-2x<10-6
-2x<4
x<4/-2
x>-2 because negative answer
A polynomial equation with rational coefficients has the roots:
Answer: (5 - √1) and (4 + √7)
Step-by-step explanation:
Here we have 4 roots, then this is a polynomial of 4th degree.
We can write it as
a*x⁴ + b*x³ + c*x² + d*x + e = 0
We could rewrite this as the product of two quadratic equations:
(a₁*x² + b₁*x + c₁)*(a₂*x² + b₂*x + c₂) = 0
This will be equal to zero when (a₁*x² + b₁*x + c₁) is equal to zero, and when
(a₂*x² + b₂*x + c₂) is equal to zero.
Then we need to find the roots of these two quadratic equations.
And we know that the roots of a quadratic equation like:
a₁*x² + b₁*x + c₁ are given by:
[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a} = \frac{-b}{2a} +-\frac{\sqrt{b^2 - 4ac}}{2a}[/tex]
Then the general form of the roots is something like:
[tex]A +-\sqrt{B}[/tex]
This means that if one of the roots is:
5 + √1, we must have another root equal to 5 - √1
And if we have one root equal to 4 - √7, then we must have another root equal to 4 + √7
Then the correct options are:
(5 - √1) and (4 + √7)
I rancher has a three sided plot of land that will be used for grazing sheet each side length is a multiple of 100 one side is 300 yards long and another side of 600 yards long what is the shortest possible length of the third side of the three sided land
Answer:
400 yards
Step-by-step explanation:
300+x>600
x>300, to be a multiple of 100, the third side must be 400 yards
10 of 12
How far does an object travel if it travels at 30km/h for 2 hours
Answer:
60km
Step-by-step explanation:
we multiply 30 with 2 and we get the answer as 60km in two hours.
what is -5y+6x+2y+5x?
Answer:
11x - 3y
Step-by-step explanation:
6x + 5x + 2y - 5y
11x - 3y
Hope this helps
PLS HELP WHAT IS THE MISSING ANGLE ?!
Answer:
Its B !!!
Step-by-step explanation:
Have a great day
PLEASE HELP IN COMPLETE SENTENCES I WILL MARK BRAINLIEST
Answer:
8km / 9 hours
Step-by-step explanation:
see the point is on
x axis = 9 = 9 hours
y axis = 8 = 8 kilometers
so the average speed of bus is 8 km in 9 hours
Answer:
mark as brainlest
Step-by-step explanation:
average speed = 9/10
=0.9kms-¹
A deep freezer has a temperature of -6°C when it is turned off.
The temperature then rises at 1.2°C per minute.
Find y, the current temperature of the freezer after x minutes. Fill in the blank below to complete the equation:
y =
Answer:
y = -6 + 1.2*x is the answer I would use, but see the note below.
Step-by-step explanation:
Let x = the number of minutes.
Let y = the temperature at any given time.
y = -6 + 1.2*x
This is the equation that you would use if you were calculating y with a calculator. If you are in a chemistry class it should be written as
y = - 6°C + 1.2°x/ min
find the sum of the series 1+2+4+5+7+8+10+11+...+299
Answer:
30,000
Step-by-step explanation:
Mr. Dorsey is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 3 meters high. The base of the ladder is 4 meters away from the house, where Mr. Dorsey's son is holding it steady. How long is the ladder?
Answer:
5
Step-by-step explanation:
Megan bought a box of 30 cookies. She ate 1/3 of
them. What is the total number of cookies that
Megan ate?
Answer:
10
Step-by-step explanation:
make x the subject formula x-3=q
Answer:
x = q +3
Step-by-step explanation:
+ 3 on both sides
hope this helps
Help please pls help help help
Answer:
A
Step-by-step explanation:
The solution we're looking at here is a set of all the points between two parallel lines. Let's see what we can find out about those lines from the inequality, and use that the pick the correct option.
We can start by splitting the inequality at the top into two seperate inequalities:
[tex]7\leq y-3x<11\\y-3x\geq7\\y-3x<11[/tex]
From here, we can put each inequality into slope-intercept form:
[tex]y\geq3x+7\\y<3x+11[/tex]
Our slope for both lines is positive, so we can immediately eliminate B and D. A and C both display lines with slopes of 3 and y-intercepts of 7 and 11; the only difference is in which line is dashed and which line is solid.
As a reminder, a dashed line means that the line itself is not included in the solution, a solid line means that it is. Dotted lines always pop up when you see the symbols < and >, while solid lines pop up when you see ≤ and ≥.
[tex]y\geq3x+7[/tex] (Solid)
[tex]y<3x+11[/tex] (Dashed)
This matches up very nicely with the graph in A, our solution.
I need help with my rsm hwrk pls help me
Answer: [tex]A= 32(\pi-2)\ cm^2, \ \ \ P=8\pi\ cm[/tex]
Step-by-step explanation:
When we consider Area under arc AC is is representing a quarter as ADBC is a square, [tex]\angle D=90^{\circ}[/tex].
Area of quadrant = [tex]\dfrac{\pi r^2}{4}[/tex]
here r= 8 cm
Area under Arc AC= [tex]\dfrac{\pi (8)^2}{4}=16\pi\ cm^2[/tex]
Area of white region ABC = Area of square ADBC - Area under Arc AC
[tex]=8^2-16\pi\ \ [\text{Area of square} = sides^2]\\\\= 64-16\pi\ \ =16(4-\pi)\ cm^2[/tex]
Similarly , Area of white region ADC = [tex]16(4-\pi)\ cm^2[/tex]
Area of shaded region = Area of square - Area of white region ABC - Area of white region ADC
[tex]=64-(64-16\pi)-(64-16\pi)\\\\= 32\pi-64\ cm^2 \\\\= 32(\pi-2)\ cm^2[/tex]
Area of shaded region =[tex]= 32(\pi-2)\ cm^2[/tex]
Length of arc AC = [tex]\dfrac{Circumference}{4}=\dfrac{2\pi r}{4}[/tex]
[tex]\dfrac{\pi (8)}{2}=4\pi cm[/tex]
Perimeter of shaded region = 2(AC) = [tex]8\pi\ cm[/tex]
There were x cookies at the beginning of a party. By the end of the party, 16 of them had been eaten. Using x, write an expression for the number of cookies that were left
Answer:
5
Step-by-step explanation:
xf
20. What is the value of x?
20
56°
Drawing not to scale
What are the vertex and axis of symmetry of the parabola y = x2 – 16x + 63?
A.
vertex: (8, -1); axis of symmetry: x = 8
B.
vertex: (8, 1); axis of symmetry: x = 8
C.
vertex: (-8, 1); axis of symmetry: x = -8
D.
vertex: (-8, -1); axis of symmetry: x = -8
Answer:
A
Step-by-step explanation:
Remember that the x-value of the vertex when an equation is given in standard form can be found with the equation [tex]\frac{-b}{2a}[/tex]. So, we can take the coefficients from the equation and plug them in.
[tex]\frac{-b}{2a} \\\frac{-(-16)}{2(1)}\\\\\frac{16}{2}\\\\8[/tex]
Now we know that the x-value of the vertex is 8. Next, the equation for the y-value is [tex]c-ah^2[/tex], where h is the x-value of the vertex (8).
[tex](63)-(1)(8)^2\\63-64\\-1[/tex]
So the vertex is (8,-1).
Finally, the axis of symmetry is the x-value of the vertex, also called h.
Final answer, vertex: (8,-1) and axis of symmetry: x=8
Hope this helps!
