Answer:
$12 million
Step-by-step explanation:
Vertex form of a quadratic equation:
y=a(x-h)^2+k
where (h,k) is the vertex.
The vertex is (5,12), and it is a maximum since a is negative.
Therefore, the maximum value is $12 million.
Devin walked 4.5 miles. There are approximately 1.6 kilometers in 1 mile.
How many kilometers did Devin walk, rounded to the nearest tenth?
Answer:
Approximately 7.2 kilometers
Step-by-step explanation:
4.5(miles walked)*1.6(kilometers in mile)=7.2(kilometers in 4.5 miles)
Answer:
7.2 kilometres
Step-by-step explanation:
4.5 * 1.6
Simplify C^5 x c
Plz can someone figure it out cuz I don’t get it
Answer:
c^6
Step-by-step explanation:
So, c is the same as c^ 1 ... therefore
c^5 x c
= c^5 x c^1
When we multiply two numbers with same base and different exponent, we add the exponents which in this case as 5 and 1
So c^5 x c^1
= c^(5+1)
= c^6
This is the simplest form
Answer: c⁶
Step-by-step explanation:
Notes: A variable without a given exponent has an "invisible" exponent of 1.
When multiplying two values with the same base, add the exponents.
[tex]\bold{c^5 \times c\qquad \rightarrow \quad c^5 \times c^1\quad =\quad c^{5+1}\quad = \large\boxed{c^6}}[/tex]
Three consecutive integers have a sum of 45. Find the integers.
Answer:
14,15,16
Step-by-step explanation:
14+15=29
add up 29 + 16 = 45
Question 19 / 50
In a class of forty students, one fifth of the students also play on the school's
football team. If four more students from the class join the football team, what
percentage of students in the class will be on the football team?
25%
30%
0 33%
O 35%
40%
Submit Answer
Answer: 30%
Step-by-step explanation:
1/5th of students = 1/5 x 40 = 8
If 4 more students join, they will be (8+4) 12 students
Percentage will be 12/40 x 100 = 30%
11m-14<7m+14 work out
Step-by-step explanation:
11m - 7m < 14 + 14
4m < 28
m < 28 / 4
m < 7
help me please it’s on spheres thankyou
Answer:
452.3893421 cm^2
452.4 (to one decimal place)
Step-by-step explanation:
Radius (r) - 6cm
The surface area of sphere = 4pi r^2
therefore:
4 * pi * 6^2
4 * pi * 36
144 * pi
452.3893421 cm^2
452.4 (to one decimal place)
Answer:
Surface area = 452,4
Step-by-step explanation:
radius = 6 cm
Surface area = 4πr²
Surface area = 4(3.1416)(6)²
Surface area = 12.5664 (36)
Surface area = 452, 3904
Surface area = 452,4
If cot x=v3, calculate (sin x)(cos x)-cos²x
Answer:
[tex]sin(x)\,cos(x)-cos^2(x)=\frac{\sqrt{3} -3}{4}[/tex]
Step-by-step explanation:
Recall the Pythagorean identity for cotangent:
[tex]1+cot^2(x)=csc^2(x)[/tex]
where the cosecant is the reciprocal of the sine function. So, since we know the value of the cotangent of the angle, we can derive the value of the square of the sine:
[tex]1+cot^2(x)=csc^2(x)\\1+(\sqrt{3})^2=\frac{1}{sin^2(x)} \\1+3=\frac{1}{sin^2(x)} \\4=\frac{1}{sin^2(x)}\\sin^2(x)=\frac{1}{4}\\ sin(x)=+/-\frac{1}{2}[/tex]
We can also use the Pythagorean identity for sin and cos, to find the value of [tex]cos^2(x)[/tex] and of cos(x):
[tex]cos^2(x)=1-sin^2(x)\\cos^2(x)=1-\frac{1}{4} \\cos^2(x)=\frac{3}{4}\\cos(x)=+/-\frac{\sqrt{3}}{2}[/tex]
We also notice that since the cotangent is positive, the angle "x" must be located in either the firs or the third quadrant, where both sine and cosine have the same sign (both positive in the first quadrant, and both negative in the third quadrant.
Then the requested quantity can be written as:
[tex]sin(x)\,cos(x)-cos^2(x)=(\frac{1}{2}) \,\frac{\sqrt{3} }{2} -\frac{3}{4} =\frac{\sqrt{3} }{4} -\frac{3}{4}=\frac{\sqrt{3}-3 }{4}[/tex]
Letters w, x, y, and z are angle measures. Lines r and s are intersected by line m. At the intersection of lines m and r, clockwise from the top, the angles are w, x, blank, blank. At the intersection of lines m and x, clockwise from the top, the angles are: 92 degrees, y, z, blank. Which should equal 92° to prove that r ∥ s? w x y z
Answer: Angle w and angle z should equal 92° to prove that r║s
Step-by-step explanation: Let us start by constructing the lines r and s, and then draw a transversal to intersect both lines as stated in the question. At the intersection of lines m and r, we have clockwise from the top angles w, x and the other two blank. This is as shown in the picture attached.
Also at the intersection of lines m and s, clockwise from the top, the angles are 92, y, z and a blank. This is also clearly marked in the picture attached.
If the two lines r and s are parallel, then it means;
(1) Angle 92 is equal to angle z (opposite angles are equal)
(2) Angle z is equal to the blank underneath angle x (corresponding angles on two parallel lines are equal)
(3) Angle 92 is equal to the blank underneath angle x (alternate angles on two parallel lines are equal)
(4) Angle 92 is equal to angle w (corresponding angles on two parallel lines are equal)
Therefore, of all four angles marked as w, x, y and z angles w and z should equal 92° to prove that line r is parallel to line s.
Answer:
Its W i took the test and got a 100
Find the greatest common factor of 30 and 75.
Answer:
15
Step-by-step explanation:
prime factorization of 30 is 2*3*5
prime factorization of 75 is 3*5*5
3*5 is common
What is the simplified form of each expression? a. (6 + 3)2 − 4 b. 23 + (14 − 4) ÷ 2
Answer:
a. 14
b. 28
Step-by-step explanation:
a. ex: (6+3)2 - 4 = 9(2) - 4
18 - 4 = 14
b. ex: 23 + (14 - 4) / 2
Use PEMDAS
P 1st
10
D over A
5
A
28
Hope this helps!
A swimming pool has length of 100 meters a width of 25 meters and depth of 4 meters throughout the whole pool . How much water can fill the pool?
Answer:
100 x 25 x 4 = 10000[tex]m^{3}[/tex]
Step-by-step explanation:
Rewrite the fraction in the sentence below as a percentage. Of the markets in a certain city, 7/10 offered customers a salad bar in 1998 .
Answer:
shawty a lil baddie
Step-by-step explanation:
i like ur mom bro
The percentage of salad bars offered to customers in 1998 is; 70%.
What is the percentage?The percentage refers to the value of a variable contained in a whole number.
The percentage is the ratio that a variable is contained in another.
Percentages, which are over 100, are depicted using the percentage sign (%).
Data and Calculations:
We are Given that Of the markets in a certain city, 7/10 offered customers a salad bar in 1998 .
7/10 salad bars were offered to customers,
The conversion to percentage = 70% (7/10 x 100)
Thus, the percentage of salad bars offered to customers in 1998 would be equal to 70%.
Learn more about percentages at ;
brainly.com/question/24304697
#SPJ2
What is the solution to the following equation? 4(3x − 11) + 23 = 5x − 14 a 0 b 1 c 10 d 14
Answer:
b 1
Step-by-step explanation:
Can anybody help me.
Answer:
1st one
Step-by-step explanation:
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
w = -5x^2+20x+160/x
Step-by-step explanation:
Divide both sides by x and since you can't divide -5(x-8)(x+4) by x, it becomes a fraction resulting the answer to be w = -5x^2+20x+160/x.
I may be wrong, it's been a while since I solved these types
Pedro walks his dog around Ray D. Hall Park. Jessica walks her dog around Rex Tangle Park. Pedro contends that he walks his dog a longer distance than Jessica walks her dog. Jessica contends the opposite. To settle their debate, they find satellite images of both parks and juxtapose them on a single coordinate grid (shown below). The perimeter of Ray D. Hall Park is \text{m}mstart text, m, end text. Round the final answer to the nearest meter. Do not round intermediate calculations. The perimeter of Rex Tangle Park is \text{m}mstart text, m, end text. Round the final answer to the nearest meter. Do not round intermediate calculations. Who should win the debate?
Answer:
the perimeter of Ray D. Hall park is 377 m
and the perimeter of Rex Tangle park is 400 m
and Jessica's walk is longer.
Step-by-step explanation:
what is the scale factor of polygon qrstu to poligon defgh
Answer:
A
Step-by-step explanation:
Since the two polygons are similar, corresponding sides will have a constant ratio. So, the ratio between ST and FG will be the same as the scale factor between the two shapes.
[tex]\dfrac{FG}{ST}=\dfrac{15}{36}=\dfrac{5}{12}[/tex]
Therefore, the correct answer is choice A. Hope this helps!
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?
Answer:
Step-by-step explanation:
If the longest side is 6.2 cm, and it is twice the length of the shortest, then we can write an equation as 2x=6.2, where x is the short side length.
Then, since a triangle has 3 sides, the medium side length is 14.5-6.2-x.
Hope that helped,
-sirswagger21
-1 1/8 - 5/8 answer plz
Answer:
-1 6/8
Step-by-step explanation:
Answer:
-2 answer this is 100% correct
Step-by-step explanation:
picture chart is below
The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had three or more absences during the first quarter?
Thanks for all correct answers
Answer:
11%
Step-by-step explanation:
this is simple because there are 4 parts of the pie chart, and we are given 3. the one we don't know we will call x. Since its percents, we know that all of the percents will add up to 100, so we can write an equation.
45 + 23 + 21 + x = 100
to solve, you can subtract 45, 23, and 21 from both sides and you are left with x = 11 which is your solution for how many students had 3 or more absences.
hope it helps!
A number cube labeled 1 through 6 is rolled. Find the probability that the cube lands on a number less than 5
Answer:
2/3
Step-by-step explanation:
The number cube has 6 faces labelled 1 - 6.
There are 4 numbers less than 5 (1, 2, 3, 4).
Therefore, the probability that the cube lands on a number less than 5 is:
4/6 = 2/3
Plz answer fast and help mr
Answer:
The median is 47
Step-by-step explanation:
that line in the middle of the box is directly on 47
Please answer correctly !!!!!! Will mark brainliest Answer !!!!!!!!!!!
Answer:
45 meters
Step-by-step explanation:
graph the equation and find the y-intercept
10x + 8 = 3(x - 2)
10x + 8 = 3x
Answer:
1) -2
2) 8/7
Step-by-step explanation:
1) 10x+8=3(x-2)
10x+8=3x-6
10x-3x=-6-8
7x=-14
x=-2
2) 10x+8=3x
10x-3x=8
7x=8
x=8/7
Hope it helps
MY FINAL QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!
17. Write an informal proof to show triangles ABC and DEF are similar.
IF YOU LOOK CLOSE YOU CAN SEE THE NUMBERS AND LETTERS FOR THE SHAPE,!!
The smaller triangle is DEF which has sides
DF = 1DE = 2EF = 3The larger triangle ABC has side lengths of
AC = 2AB = 4BC = 6Note how the sequence 2,4,6 is exactly double that of 1,2,3. Therefore, the sides of triangle ABC are twice as large as the corresponding sides of triangle DEF.
Put another way, computing the ratios of the corresponding sides all lead to the same value, so we have BC/EF = 6/3 = 2, and we have AB/DE = 4/2 = 2, and finally AC/DF = 2/1 = 2. These three equations all confirm ABC is twice as large as DEF.
By the SSS (side side side) similarity theorem, we can conclude the triangles are similar. They have the same shape, but different size.
It’s the math question please help
Answer:
-22, 4, -27, 2
Step-by-step explanation:
-10 + (-12) = -10 - 12 = -22
-3 + 7 = 4
-11 - 16 = -27
-13 - (-15) = -13 + 15 = 2
Answer:
-22 4 -27 2
Step-by-step explanation:
-10 + (-12) = -22
-3 + 7 = 4
-11 - 16 = -27
-13 -(-15) = 2
(08.02)Using the following data, calculate the mean absolute deviation:
10, 7, 1, 6, 7, 9, 8, 10, 2, 5
What is the mean absolute deviation for these data?
Answer:
7
Step-by-step explanation:
10+7+1+6+7+9+8+10+2+5
-----------------------------------
10
65 ÷ 10
= 6.5, round up, = 7
Answer:
I took the quiz and the answer is 7
Step-by-step explanation:
Match each logarithm to its value
Answer:
D
C
B
A
Step-by-step explanation:
In the picture ⬆️
Llllllllllllllllllllll
The temperature increased from (-3) degrees to (+12) degrees on Friday what was the temperature change over the course of the day
Answer:
+15 degrees
Step-by-step explanation:
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
12
Find the slope of the line will make brainiest
y= -3x +1
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-3
Step-by-step explanation:
if ay=bx+c , then the slope is b/a
I have 1*y=-3*x+1, the slope is -3/1=-3
Or
the slope is y2-y1/x2-x1
if x1=1 ,y1= -3*1+1=-3+1=-2
x2=2, y2=-3*2+1=-6+1=-5
the slope is (y2-y1)/(x2-x1)=(-5+2)/1=-3