Answer:
563.25 km
Step-by-step explanation:
let [tex]d_1[/tex] be the the distance it takes for the car to get to top speed and [tex]d_2[/tex] be distance traveled can be found by multiplying its top speed (150 km/h) by the number of hours that it takes for the car to finish the race. The total distance d is given as:
[tex]d=d_1+d_2[/tex]
To get [tex]d_1[/tex], the car is initially at rest (i.e 0 km/h) and then it accelerates to a speed of 150 km/hr within 0.01 hrs. Let u = initial velocity = 0 km/hr, v = final velocity = 150 km/hr and the time taken ([tex]t_1[/tex]) = 0.01 hrs. Therefore:
[tex]d_1=(\frac{v+u}{2} )t=(\frac{0+150}{2} )0.01=0.75km[/tex]
To get [tex]d_2[/tex] , we use the formula [tex]d_2[/tex] = v[tex]t_2[/tex], where v =150 km / hr and [tex]t_2[/tex] = 3.75 hrs. Therefore:
[tex]d_2=150*3.75=562.5km[/tex]
[tex]d=d_1+d_2=562.5+0.75=563.25km[/tex]
Solve the system of equations.
y = 1/2x + 3
x + y = 6
The domain is: - infinity
Answer for the first blank = infinity
Answer for the second blank = 9000
===================================================
Explanation:
Note how the graph goes on forever in both left and right directions. So x extends forever in both directions. This means any x can be an input to the function. The domain is -infinity < x < infinity. Basically, the domain is the set of all real numbers.
The range is -infinity < y <= 9000 since there is no smallest y value, but the largest y can be is y = 9000. Look at the highest point of the parabola and note the y coordinate of this point. This highest point is called the vertex.
Each day he will fill 5 cups more. Write an algebraic expression to represent the number of cups he will have after n days. Identify the coefficient.
Answer:
5n
The coefficient is 5
Step-by-step explanation:
For day 1; he fill 5 cups
For day 2; he fill 5 + 5 cups
For day 3; he fill 5 + 5 + 5 cups
For day 4; he fill 5 + 5 + 5 + 5 cups
For day n; ?
The sequence is 5, 10, 15, 20, ...
The sequence increases linearly.
a = 5, d = 5, n = ?
Using the Formula for nth term of a sequence, we have:
[tex]T_{n} = a + (n - 1)d\\T_{n} = 5 + (n - 1) 5\\T_{n} = 5 + 5n -5\\T_{n} = 5 - 5 + 5n\\T_{n} = 5n[/tex]
The question is not complete. Here is the complete question:-
Michael started by filling up 12 cups. Each day he will fill 5 cups more. Write an algebraic expression to represent the number of cups he will have after n days. Identify the coefficient.
Answer:
The algebraic expression is :
y = 12 + 5n
The coefficient is 5
Step-by-step explanation:
Please kindly check the attached files for explanation
Which of the following questions are true statements about the expression 6+(-6)
In ΔOPQ, the measure of ∠Q=90°, QO = 61 feet, and OP = 83 feet. Find the measure of ∠O .
Answer:
∠O ≈ 43°
Step-by-step explanation:
Draw a diagram to help you visualize (see photo below).
Since ∠Q is a right angle and ΔOPQ is a triangle, we can use the trigonometric ratios (SohCahToa).
To find ∠O (which is represented by θ in the diagram), use the given sides:
QO = 61 feet
OP = 83 feet
OP is the hypotenuse since it's the longest side.
If ∠O = θ (angle of reference), then side QO is adjacent.
The trig. ratio that uses adjacent and hypotenuse is:
cosθ = adjacent / hypotenuse
Substitute the variables for this question
cosO = QO / OP
Substitute the known values
cosO = 61 feet / 83 feet Isolate "O"
∠O = cos⁻¹(61/83) Input into calculator
∠O ≈ 42.69787...° Exact answer
∠O ≈ 43° Round to the nearest whole degree
Therefore, the measure of ∠O is 43°.
Please comment below if you have any questions!
The volume of a cone is cubic inches. Its height is 12 inches. What is the radius of the cone?
Answer: 4.22
Step-by-step explanation:
On a scale drawing of a fence, 3.75 inches represent 24 feet. What is the actual length of a second fence that is 2.8 inches in the drawing?
The actual length of the fence is 215 inches
Step-by-step explanation:
Length of fence in drawing = 3.75 inches
Actual length of the fence = 24 ft
= 288 inches
Scale factor = 288/3.75
= 76.8
Length of fence in drawing = 2.8 inches
Actual length = 2.8 x 76.8
= 215 inches
The actual length of the fence is 215 inches
Answer:
215 in
Step-by-step explanation:
215 in
Choose the correct box plot for the data set below . 32 , 39 , 46 , 50 , 57 , 62 , 66.
Answer:
C
Step-by-step explanation:
The median is 50, the lower quartile is 39, and the upper quartile is 62.
Answer:
c
Step-by-step explanation:
Giving brainlest to the first right answer
If the area of a pentagonal pyramid has a 440. 4 mm2 base area, 16 mm. pentagon side
length, and 20 mm. slant height, then determine the surface area of the pyramid.
Answer:
Sorry man I could answer it I could find the step
But I hope you have good look on this!
But if You are using trygonometry here
a , 4
m 3 , 16
m 2, 20
m 2
Answer:
it's a 4 m 3,16 m 2,20 and m 2
mm, 3,2,
Step-by-step explanation:
i got it right
The midpoint of AB is M(-5, -2). If the coordinates of A are (-3,4), what are
the coordinates of B?
Answer:
The coordinates of b are (-7, -8)
Step-by-step explanation:
Answer:
(-2,6)
Step-by-step explanation:
what’s the area of the trapezoid
Answer:
i will give you the steps to find out how
Step-by-step explanation:
Explanation: To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
Answer:
The equation to find the area of a Trapezoid is A=h·([tex]\frac{b1+b2}{2}[/tex])
Step-by-step explanation:
Evelyn needs to buy a season pass to the water park that
costs $320. How much will the season pass to the water
park cost if she uses credit, pays $80 a month, and pays an
extra $6 a month in interest?
Answer:
344
Step-by-step explanation:
80*4=320
6*4=24
320+24=344
What is the risk of going into a group of more than 20 or more people at this time from coronavirus?
Answer:
Even if a person doesn't show symptoms, they can still have it.
Step-by-step explanation:
That's the problem.
Even if you think everyone isn't sick, they very well could be, and because there is no vaccine and it spreads so quickly, there's a chance that all the people in that group could get it.
Answer:
Getting infected
Step-by-step explanation:
Frederick made a quilt for his cousin's doll. The quilt had a 7 × 7 array of different color square patches. If each patch is 3 1 2 in long, what is the area of the whole quilt?
Answer:
Step-by-step explanation:
Given that, .
Frederick make 7 × 7 quilt array
This shows that there are seven rows and there are seven columns.
So, the total quilt is
7 × 7 = 49 squares patches
We are told that each of this square patches are 3½ in long
Then, since it is a square patch, it's area is
A = S² = 3½ × 3½ = 12¼ in²
So, each square patch has an area of 12¼in²,
Then, for 49 square patches
The total area of 49 Square patches is
A = 49 × 12¼ = 600.25 in²
So, the area of the whole quilt is 600.25 in²
Answer:
The area of the whole quilt is 600.25 ft²
Step-by-step explanation:
Here we have the length of each patch given as [tex]3\frac{1}{2} in[/tex]
Therefore, whereby the quilt had 7 × 7 array of different color square patches, we have;
Length of each side of quilt = [tex]7 \times 3\frac{1}{2} = 7 \times \frac{7}{2} = \frac{49}{2} = 24\frac{1}{2}[/tex]
∴ Area of the whole quilt = [tex]24\frac{1}{2} \times 24\frac{1}{2} = \frac{2401}{4} = 600\frac{1}{4} \ ft^2[/tex]
The area of the whole quilt = 600.25 ft².
What is the solution to 2x2+8x=x2-16?
O x=4
O x=-2
O x=2
O x=4
Answer:
x=-4
Step-by-step explanation:
A on edg
The solution to the quadratic equation is x = -4
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
2x² + 8x = x² - 16
Subtracting x² on both sides , we get
x² + 8x = -16
Adding 16 on both sides , we get
x² + 8x + 16 = 0
On simplifying the equation , we get
( x + 4 )² = 0
Taking square roots on both sides , we get
x + 4 = 0
Subtracting 4 on both sides , we get
x = -4
Therefore , the value of x is -4
Hence , the solution is x = -4
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Solve for x :
6x=36
Answer:
6
Step-by-step explanation:
6 multiplied by 6 is 36.
Answer:
6
Step-by-step explanation:
When you are solving for a certain variable, you want to simplify the equation down until you can't anymore. This equation is very simple. You just have to divide both sides by 6. This is because we want to get the variable (x) alone.
6x=36
Divide both sides by 6
x=6
hope that helped.
Find the value and expression for 0
Sin(0) = cos(28)
Answer:
The value of 0 is 62
The expression of 0 is 0 = arcsin (cos (28))
Step-by-step explanation:
Sin(0) = cos(28)
The value of 0 is 90 - 28 = 62 degrees.
The expression of 0 is derived from algebraically solving for 0
0 = arcsin (cos (28))
Answer the question
Answer:
Step-by-step explanation:
(-v² - 3v -8)(3v² + 6v + 3) = -v²*(3v² + 6v + 3) -3v*(3v² + 6v + 3) -8*(3v² + 6v + 3)
= -3v⁴ - 6v³ - 3v² -9v³ - 18v² - 9v - 24v² - 48v - 24
{bring the like terms together}
= -3v⁴ - 6v³ - 9v³ -3v² -18v² -24v² - 9v - 48v - 24
= -3v⁴ - 15v³ - 45v² - 57v - 24
HINT:
-v²*(3v² + 6v + 3) = -v²*3v² + (-v²)*6v + (-v²)*3
= -3v²⁺² - 6v²⁺¹ - 3v²
-3v*(3v² + 6v + 3) = -3v*3v² + 6v*(-3v) + 3*(-3v)
= -9v¹⁺² - 18v¹⁺¹ - 9v
= -3v³ - 18v² - 9v
= -3v⁴ - 6v³ - 3v²
A set of 3 consecutive integers adds up to 42. What are the integers?
Answer:
Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.
Step-by-step explanation:
If f(x)= 3x-9, fine each function value.
F(12)
Answer:
27
Step-by-step explanation:
Plug in 12 every time you see "x". When you do this it should be f(12) = 3(12) - 9 = 36 - 9 = 27.
Hope this helped :)
The function value f(12) for f(x) = 3x - 9 is calculated by substituting x with 12, resulting in f(12) = 3(12) - 9, which simplifies to f(12) = 27.
Explanation:To find the value of f(12) for the given function f(x) = 3x - 9, you simply substitute the value of 12 for x and then perform the calculation:
f(12) = 3(12) - 9
f(12) = 36 - 9
f(12) = 27
Therefore, the function value of f(12) is 27. When plotting or using a graph, this is the y-coordinate when x is 12 for the equation y = 9 + 3x, which has a slope ('m') of 3 and a y-intercept ('b') of 9.
Find the volume of the cone.
Either enter an exact answer in terms of 1 or use 3.14
Answer:
78.54
Step-by-step explanation:
V=[tex]\pi \\[/tex][tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]
V= 3.14 [tex](5)^{2}[/tex] [tex]\frac{3}{3\\}[/tex]
V= 3.14 (25) (1)
V= 78.5
The volume of a cone can be calculated using the formula V = 1/3 * π * r2 * h, where r is the radius and h is the height.
Explanation:To find the volume of a cone, you can use the formula V = 1/3 × π × r² × h, where r is the radius of the base and h is the height of the cone.
For example, if the radius is 4 cm and the height is 10 cm, we can substitute these values into the formula:
V = 1/3 × 3.14 × 42 × 10 = 1/3 × 3.14 × 16 × 10 = 167.47 cm³.
So, the volume of the cone is approximately 167.47 cm³.
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10. Explain why log328 is between 3 and 4.
Answer:
See explanation.
(Before continuing reading, I took the base to be 3. Please tell me if you didn't want the base to be 3.)
Step-by-step explanation:
I assume 3 is suppose to be the base. Let's list some values that can be written as 3 to some integer.
3^0=1
3^1=3
3^2=9
3^3=27
3^4=81
3^5=243
......
I could have also did negative integer powers, but this is all I really need to convince you that log_3(28) is between 3 and 4.
log_3(28) means the value x such that 3^x=28.
Since 28 is between 27 and 81 in my list above, that means 3^x is between 3^3 and 3^4. This means that x is a value between 3 and 4.
The ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years. Approximately what percent of the students are between 14 and 18 years old?
We have been given that the ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years.
We are asked to find the percentage of students that are between 14 and 18 years old.
First of all, we will find z-score corresponding to 14 and 18 using z-score formula.
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]z=\frac{14-15}{2}[/tex]
[tex]z=\frac{-1}{2}[/tex]
[tex]z=-0.5[/tex]
Similarly, we will find the z-score corresponding to 18.
[tex]z=\frac{18-15}{2}[/tex]
[tex]z=\frac{3}{2}[/tex]
[tex]z=1.5[/tex]
Now we will find the probability of getting a z-score between [tex]-0.5[/tex] and [tex]1.5[/tex] that is [tex]P(-0.5<z<1.5)[/tex].
[tex]P(-0.5<z<1.5)=P(z<1.5)-P(z<-0.5)[/tex]
Using normal distribution table, we will get:
[tex]P(-0.5<z<1.5)=0.93319-0.30854[/tex]
[tex]P(-0.5<z<1.5)=0.62465[/tex]
Let us convert [tex]0.62465[/tex] into percentage.
[tex]0.62465\times 100\%=62.465\%\approx 62.5\%[/tex]
Therefore, approximately [tex]62.5\%[/tex] of the students are between 14 and 18 years old.
Answer:
62.47%
Step-by-step explanation:
Brent biked 800 meters on Friday. On Saturday, he biked 3 kilometers. On Sunday, he biked 2 kilometers, 600 meters. How many kilometers did Brent bike over the three days
Answer:
333
Step-by-step explanation:
What is the volume of a hemisphere with a diameter of 8ft, rounded to the nearest tenth of a cubic foot
Answer:
134.0
Step-by-step explanation:
Final answer:
The volume of the hemisphere with a diameter of 8ft, rounded to the nearest tenth of a cubic foot, is approximately 134.0 cubic feet.
Explanation:
To find the volume of a hemisphere, we can use the formula:
Volume = (2/3) * π * (radius)^3
Given that the diameter of the hemisphere is 8ft, we can calculate the radius by dividing the diameter by 2:
Radius = 8ft / 2 = 4ft
Substituting the value of the radius into the formula, we get:
Volume = (2/3) * π * (4ft)^3
Volume ≈ 134.04 ft³ (rounded to the nearest tenth)
mr webb gave his waiter a $5.60 tip on a $40 bill. what percent tip did he give the waiter?
Answer:
14%
Step-by-step explanation:
5.60 / 40 = 0.14
0.14 x 100 = 14
Mr. Webb left a 14% tip.
Answer:
14%.
Step-by-step explanation:
You just divide (5.6/40)*(100)=the answer. If you do the math correctly(the * means multiplication) you will end up with 14%
Consider Jasper’s balance sheet. Which shows how to calculate Jasper’s net worth? $4,400 - $15,800 = -$11,340 $15,800 + $4,400 = $20,260 $15,800 - $4,400 = $11,400 $20,260 - $15,800 = $4,400
Answer:
15,800-4,400
Step-by-step explanation:
Add the assets column which equals to 15,800, then add the liability column which adds up to be 4,400 :)
Answer:$15,800 - $4,400 = $11,400
Step-by-step explanation:
yes
Simplify the expression.
9(-10-4v)+9v
Answer: -90-27v
Step-by-step explanation:
N A
Answer:
-90-27v
Step-by-step explanation:
9(-10-4v)+9v
-90 - 36v + 9v
-90 - 27v
Tyler went to an electronics store with a gift card. After he spent 13/20 of the gift card's value on a video game, the card's value was less than $26.25. Which inequality describes x, the value of the gift card when Tyler entered the store?
Answer:
[tex]\frac{7}{20}x < 26.25[/tex]
Step-by-step explanation:
If $x is the value of the gift card when Tyler entered the store, then after spending [tex]\frac{13}{20}[/tex] of the gift card the card's value was less than $26.25.
So, we can write the inequality as
[tex]x - \frac{13}{20}x < 26.25[/tex]
⇒ [tex]\frac{7}{20}x < 26.25[/tex]
So, this is the required inequality that describes x, the value of the gift card when Tyler entered the store. (Answer)
A jar pinto beans and black beans in a ratio of 1: 1, and 300 of the beans are pinto beans. How many beans in total are there in the jar?
Answer:
600 beans
Step-by-step explanation:
If there are 300 pinto beans and the ratio is 1:1 there would have to be 300 black beans making 600 total.