Answer:
Step-by-step explanation:
[tex]y=15x^2+2x-8\\\mathrm{Parabola\:equation\:in\:polynomial\:form}\\\mathrm{The\:vertex\:of\:an\:up-down\:facing\:parabola\:of\:the\:form}\:y=ax^2+bx+c\:\mathrm{is}\:x_v=-\frac{b}{2a}\\\mathrm{The\:parabola\:params\:are:}\\a=15,\:b=2,\:c=-8\\x_v=-\frac{b}{2a}\\x_v=-\frac{2}{2\cdot \:15}\\\mathrm{Simplify\:}-\frac{2}{2\cdot \:15}:\quad -\frac{1}{15}\\x_v=-\frac{1}{15}\\\mathrm{Plug\:in}\:\:x_v=-\frac{1}{15}\:\mathrm{to\:find\:the}\:y_v\:\mathrm{value}\\y_v=-\frac{121}{15}\\[/tex]
[tex]\mathrm{Therefore\:the\:parabola\:vertex\:is}\\\left(-\frac{1}{15},\:-\frac{121}{15}\right)\\\mathrm{If}\:a<0,\:\mathrm{then\:the\:vertex\:is\:a\:maximum\:value}\\\mathrm{If}\:a>0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}\\a=15\\\mathrm{Minimum}\space\left(-\frac{1}{15},\:-\frac{121}{15}\right)[/tex]
Kwame rode a bicycle for a distance of x km and walked another half hour at a rate of 6kmper an hour. If Kwame covered a total distance of 10km ,find the distance x he covered by bicycle.
Answer:
30-35 minutes
Step-by-step explanation:
asapppp help me someone please
Answer:
3/5
Step-by-step explanation:
P ( walks or takes the bus) = walks or takes the bus/ total
walks = 10
takes the bus = 25+ 20+5 = 50
There is no overlap
P ( walks or takes the bus) = walks or takes the bus/ total
= (10+ 50)/ 100
= 60/100
=3/5
Answer:3/5
Step-by-step explanation:
Just put the answer in and it’s right
PLZZ NEED HELP ASAPPP :((
I wish I knew..
Use the stem-and-leaf plot. What is the place value of the leaves? ( if anyone gets it )
hundredths place
tens place
ones place
tenths place
16] 1 1 2 3 5 5
17] 0 2 2
18] 4 5 8 9
19] 3 6 7 9 9 9
Key : 19 , 3 means 19.3
Answer: I would say it hundredth place
Step-by-step explanation:
Answer:
hundredth place is your answer
please mark my answer as brainlist ✌️
and I am Indian I like to make friends
The rectangular prism is to be sliced parallel to the shaded base. What number is missing from the dimensions of the fords section?
Answer:
C (6)
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Brainliest question please help me now plz
Answer:
5/12
Step-by-step explanation:
The tangent of an angle is the opposite side divided by the adjacent side, and in this case that would be 5 / 12. Hope this helps!
Answer:
[tex] \frac{5}{12} [/tex]
Step-by-step explanation:
[tex] \because \tan (\beta) = \frac{AC}{BC} \\\\
\huge\purple {\boxed {\therefore \tan (\beta) = \frac{5}{12}}} [/tex]
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Formula for the perimeter of a quarter circle: C = ((pi x 2r) / 4) + 2r
C = ((3.14 + 12) / 4) + 12
C = 3.785 + 12
C = 15.79 meters
Hope this helps! :)
What is the answer ?
Answer:
C
Step-by-step explanation:
Remember that tan45deg is 1!
It is important to memorize these facts.
What is the area of the triangle?
Answer:
16
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
A = 1/2 (4)*8
A = 16
Answer:
The area of the triangle is 16 cubic units
Step-by-step explanation:
The formula for the area of a triangle is like the same as a rectangle, just in half. So, by doing 8x4, you get 32. Divide 32 by 2 to get 16.
Which is the least metric mass?
0.0019 kg
0.19 g
190 cg
1900 mg
Answer:0.0019g
Step-by-step explanation:
Please answer this I need help! There are 90 people going on the field trip. The budget allows for $542.94 total for tickets to Nashville sounds game. There is a service fee of $45.82. How much does each ticket cost?
Answer:
5.52 or less
Step-by-step explanation:
The total cost must be less than or equal to the budget amount
Total cost limit ≥ fee + cost per ticket * number of tickets
542.94 ≥ 45.82 + cost per ticket * 90
Subtract 45.82 from each side
542.94 - 45.82≥ 45.82 -45.82+ cost per ticket * 90
497.12 ≥ cost per ticket * 90
Divide each side by 90
497.12≥cost per ticket * 90
497.12/90≥ cost per ticket * 90/90
5.52 ≥ cost per ticket
Find the volume of a cube with the base edge of 13cm.
Answer:
Option (D)
Step-by-step explanation:
Formula for Volume of a cube:
[tex]V=a^3\\a-\text {side measure}[/tex]
The side measure for this cube is 13cm.
[tex]V=13^3\\13^3=13*13*13 = 2197\\\boxed {V=2197}[/tex]
Option D should be the correct answer.
Brainilest Appreciated.
Which table represents a linear function?
Plz answer quickly!!! Thank you! :)
Answer:
The first one
Step-by-step explanation:
You can see the pattern
plssss answer
Which of the following situation can be modeled by circumference of a circle? *
A. Amount of paint needed to paint a circular auditorium ceiling.
B. Size of table cloth required by a circular table
C. Amount needed to fence around a circular garden
D. An amount of water circular swimming pool holds
Answer:
C. Amount needed to fence around a circular garden
Step-by-step explanation:
The Circumference of a circle can be referred to as the length of the circle. It also called the perimeter of a circle.
The circumference of a circle can be defined as the distance roundabout a circle.
The circumference of a circle is calculated mathematically as:
a) 2πr or
b) πD
Where r = radius of the circle.
D = Diameter of the circle
From the above question, the situation can be modeled by circumference of a circle based on the definition that the circumference of a circle is the distance around a circle is Option C. "Amount needed to fence around a circular garden"
In ΔVWX, the measure of ∠X=90°, VW = 72 feet, and XV = 27 feet. Find the measure of ∠W to the nearest degree.
Answer:
B
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
A square is made using four rods of equal length joined end to end.
The perimeter of this square is 72 cm. Three of these rods are now joined end to end to make an equilateral triangle.
What is the perimeter of this equilateral triangle?
will mark brainliest for correct answer!
Answer: 54 cm
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Perimeter of a square = side length x4
Replacing with the values given:
72 = 4 s
Solving for s (side length)
72/4=s
s = 18 cm
Since the side length of the square is the length of each rod, and all the rods have the same length, to obtain the perimeter of the triangle we have to apply:
Perimeter of an equilateral triangle: 3 side length
P = 3 (18 ) = 54 cm
Feel free to ask for more if needed or if you did not understand something.
Samantha has chickens and sheep on her farm. Each chicken has two legs and each sheep has four legs. Each chicken has one head and each sheep has one head. She looked out one day and counted 48 animal heads and 134 legs. How many of each animal live on the farm?
Answer:
There are 29 chickens and 19 sheep.
Step-by-step explanation:
Samantha has chickens and sheep on her farm.
Let the number of chickens be c.
Let the number of sheep be s.
Each chicken has one head and each sheep has one head.
She looked out one day and counted 48 animal heads. Each chicken has one head and each sheep has one head.
This means that the number of chickens and sheep add up to 48:
c + s = 48 ____________(1)
She also counted 134 legs. Each chicken has one head and each sheep has one head. This means that:
2c + 4s = 134 ________(2)
From (1),
c = 48 - s ____________ (3)
Put (3) in (2):
2(48 - s) + 4s = 134
96 - 2s + 4s = 134
Collecting like terms:
2s = 134 - 96
2s = 38
s = 38 / 2 = 19
Putting this back in (3):
c = 48 - 19
c = 29
There are 29 chickens and 19 sheep.
Find the area in both questions if possible
High school geometry
Answer:
Step-by-step explanation:
a 141.61
b 8.64
c
Im bored
{2x+5y=33.
3x-5y=-13
Answer:
x = 4, y =5
Step-by-step explanation:
2x+5y=33.
3x-5y=-13
Add the two equations together to eliminate y
2x+5y=33.
3x-5y=-13
-------------------
5x = 20
Divide by 5
5x/5 = 20/5
x = 4
Now find y
2x + 5y = 33
2(4) +5y = 33
8+5y = 33
Subtract 8 from each side
8+5y-8 = 33-8
5y = 25
Divide each side by 5
5y/5 = 25/5
y = 5
A spinner is numbered from 1 to 10 with equal sectors. What is the
probability of landing on a number between 3 and 7?
Answer:
3/10
Step-by-step explanation:
There are 10 sections
Number between 3 and 7 = 4,5,6 = 3 sections
P (number between 3 and 7) = sections between 3 and 7/ total
=3/10
A 14 inch pizza (diameter is 14) was cut in to 8 pieces. What is the angle measure of each slice? *
Answer:
The angle for each slice is 45 degrees.
Step-by-step explanation:
In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:
pizza area = pi*r²
r = d / 2 = 14 /2 = 7 inches
pizza area = pi*(7)² = 153.86 square inches
Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:
slice area = pizza area / 8 = 153.86 / 8 =19.2325 square inches
Each slice is a circle sector, therefore it's area is given by:
slice area = (angle*pi*r²)/360
Therefore we can solve for angle:
19.2325 = (angle*pi*7²)/360
angle*pi*49 = 6923.7
angle = 6923.7 / pi*49 = 45 degrees
The angle for each slice is 45 degrees.
y = 2 and 7x - 3y = -34
Answer:
7x - 3y = -34
7x - 3(2) = -34
7x - 6 = -34
7x - 6 + 6 = -34 + 6
7x = -28
7x/7 = -28/7
x = -4
7(-4) - 3y = -34
-28 - 3y = -34
-28 + 28 - 3y = -34 + 28
-3y = -6
-3y/-3 = -6/-3
y = 2
(-4, 2)
Step-by-step explanation:
Is the missing side length leg or the hypotenuse
Answer:
The Hypotenuse is going to be the longest side of a Right Triangle.
Step-by-step explanation:
Two window washers, Grayson and Malik, lean a ladder against the side of a building so that Grayson can wash a window while Malik holds the ladder. The top of the ladder reaches the window, which is 8 meters off the ground. The base of the ladder is 3 meters away from the building. How long is the ladder?
Answer:
8.5m
Step-by-step explanation:
The ladder forms a right triangle with legs of 8 and 3, and the ladder is the hypotenuse. Using the Pythagorean Theorem, we get that the ladder is about 8.5 meters long. Hope this helps!
Answer:
≈8.544
Step-by-step explanation:
The Pythagorean theorem says that [tex]a^{2} + b^{2} = c^{2}[/tex], where c is the ladder. Replacing the variables for numbers gives you [tex]3^2 + 8^2 = c^2.[/tex] Simplifying the right side gives you 9+64, or 73. Because [tex]c^2\\[/tex]=73, the answer is [tex]\sqrt{73}[/tex], or ≈8.544. Hope this helps!
if the train went 390 miles in 3 hours, what was the speed in miles per hour
Answer:
Speed = 130 mph
Step-by-step explanation:
Distance travelled = 390 miles
Time taken = 3 hours
[tex]Speed = \frac{distance \: travelled}{time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ 390 }{ 3 }\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 130 \: mph (miles \: per \: hour)[/tex]
write the equation -8x-1=3x^2+2
Answer:
x =(8-√28)/-6=4/-3+1/3√ 7 = -0.451
x =(8+√28)/-6=4/-3-1/3√ 7 = -2.215
Step-by-step explanation:
Rearrange
Step 1 :
Equation at the end of step 1 :
(-8x - 1) - (3x2 + 2) = 0
Step 2 : See below
Step 3 : See below
Pulling out like terms :
3.1 Pull out like factors :
Trying to factor by splitting the middle term
Step 4 :
Parabola, Finding the Vertex
Solve Quadratic Equation by Completing The Square
Answer:
x =(8-√28)/-6=4/-3+1/3√ 7 = -0.451
x =(8+√28)/-6=4/-3-1/3√ 7 = -2.215
Hope this helps.
A boy saves up $74 for a gift for his friend. However, upon reaching the store, he realizes that he saved 128% of the actual amount he needed to buy the present. How much does the present cost? Round to the nearest cent. (marking brainliest)
Answer:
57.8325
Step-by-step explanation:
74=128% x whole
74/128%= whole
57.8125=price if the present
which expression is equivalent to 2(2a-5)-(a-3)
Answer:
The equivalent expression should be [tex]3a - 7[/tex] .
Step-by-step explanation:
Solve the expression:
[tex]2(2a-5) - (a -3)[/tex]
[tex]4a - 10 - (a -3)[/tex]
[tex]4a - 10 - a +3[/tex]
[tex]3a -10+3[/tex]
[tex]3a -7[/tex]
So, the answer is [tex]3a -7[/tex] .
Answer:
3a - 7
Step-by-step explanation:
Which expression is equivalent to : - 2/7 (-14y + 42)
Answer: 4y -12
Step-by-step explanation:
Let's take this step-by-step:
[tex]-\frac{2}{7}[/tex](-14y + 42)
Distribute the [tex]-\frac{2}{7}[/tex] to -14y and 42
[tex]-\frac{2}{7}[/tex] * -14y = 4y
[tex]-\frac{2}{7}[/tex] * 42 = -12
We get
4y + (-12)
Simplify this to get:
4y -12
Need help on this right here
Answer: 1. is c and 2.a
Step-by-step explanation:
Answer:
1. d
2.a
Step-by-step explanation:
1. linear equation should be written in a form of f(x) = a + bx.
A piecewise function f(x) is defined as shown. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative five-fourths x + 90, 2nd column 0 less-than-or-equal-to x less-than 40 2nd row 1st column negative three-eighths x + 75, 2nd column 40 less-than-or-equal-to x less-than-or-equal-to 200 EndLayout Which table could be used to graph a piece of the function? A 2-column table has 3 rows. The first column is labeled x with entries 0, 16, 40. The second column is labeled y with entries 90, 85, 75. A 2-column table has 3 rows. The first column is labeled x with entries 0, 40, 200. The second column is labeled y with entries 90, 40, 0. A 2-column table has 3 rows. The first column is labeled x with entries 40, 120, 200. The second column is labeled y with entries 75, 30, 0. A 2-column table has 3 rows. The first column is labeled x with entries 40, 160, 200. The second column is labeled y with entries 60, 15, 0.
Answer:
(D)The first column is labeled x with entries 40, 160, 200. The second column is labeled y with entries 60, 15, 0.
Step-by-step explanation:
The piece-wise function, f(x) is defined as follows:
[tex]f(x)=\left\{\begin{array}{ccc}-\frac{5}{4}x+90 &0\leq x<40\\\\-\frac{3}{8}x+75 &40\leq x\leq 200\end{array}\right[/tex]
[tex]f(0)=-\frac{5}{4}*0+90=90\\\\f(16)=-\frac{5}{4}*16+90=70\\\\f(40)=-\frac{3}{8}*40+75=60\\\\f(120)=-\frac{3}{8}*120+75=30\\\\f(160)=-\frac{3}{8}*160+75=15\\\\f(200)=-\frac{3}{8}*200+75=0[/tex]
Therefore, the table which could represent the function is that which satisfies the points above.
In option D
[tex]\left|\begin{array}{c|c}x&f(x)\\--&--\\40&60\\160&15\\200&0\end{array}\right|[/tex]
The correct option is D
Answer:
D
Step-by-step explanation:
edge2020