What is the range of the following data?
10 20 30 40 50 60 70 80 90 100
50
20
70
60
HELP:Joyce is dividing into the water. Let the t represent time in seconds and the
h represent height in feet. Her dive is modeled by the equation:
h
-t2 + 10t + 19
You must show all your work on the scratch paper to receive full credit.
1. What is the height of the dividing board where Joyce is standing?
2. How many seconds will it take the diver to reach the maximum height?
3. How high is the maximum height of the diver?
EXPLAIN
Answer:
Part 1)
The height of the diving board is 19 feet.
Part 2)
Five seconds.
Part 3)
44 feet.
Step-by-step explanation:
Joyce's dive is represented by the equation:
[tex]h=-t^2+10t+19[/tex]
Where h represents her height (in feet) after t seconds.
Part 1)
Joyce is on the diving board right before she jumps. Therefore, to find the height of the diving board, we can let t = 0, since this is before she had jumped. Hence:
[tex]h(0)=-(0)^2+10(0)+19=19\text{ feet}[/tex]
The height of the diving board is 19 feet.
Part 2)
Since this is a quadratic, the maximum height will occur at its vertex point.
So, we need to find the vertex. We can use the following formulas:
[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = -1, b = 10, and c = 19.
So, the t-coordinate of the vertex is:
[tex]\displaystyle t=-\frac{(10)}{2(-1)}=5\text{ seconds}[/tex]
Joyce will reach her maximum height after five seconds.
Part 3)
To find the maximum height, simply substitute this value back into the equation. Hence:
[tex]h(5)=-(5)^2+10(5)+19=44\text{ feet}[/tex]
So, her maximum height is 44 feet in the air.
help me plesse how do i solve this multi step equation?
Answer:
h = -34/3
Step-by-step explanation:
7h +8 = 4h - 26
Subtract 4h from each side
7h-4h +8 = 4h-4h - 26
3h+8 = -26
Subtract 8 from each side
3h+8-8 = -26-8
3h = -34
Divide by 3
3h/3 = -34/3
h = -34/3
Answer:
h = - [tex]\frac{34}{3}[/tex]
Step-by-step explanation:
Given
7h + 8 = 4h - 26 ( subtract 4h from both sides )
3h + 8 = - 26 ( subtract 8 from both sides )
3h = - 34 ( divide both sides by 3 )
h = - [tex]\frac{34}{3}[/tex]
Wayne is mixing paint. He makes six quarts of brown paint by mixing equal quantities of yellow paint and violet paint. The violet paint is made from one-third red paint and two-thirds blue paint.
1.What percentage of the brown paint is made from red paint? ( Hint: use the ratio table and convert the fraction to percentage) Explain how you figure out
2.Wayne decides to make 12 quarts of brown paint by using the same formula as above. Will the percentage of brown paint that is made from blue paint change or stay the same? Explain your answer. (Hint: proportional table. Will the ratio/percentage of the paint change with the increase in the amount of paint used?)
Answer:
Step-by-step explanation:
2/6=33.33
please help me solve this question i need help pls
The first and last terms of a 10-term arithmetic series are listed in the table. What is
the sum of the series? (2 points)
Term Number Term
1
3
10
75
find the remainder
PLSS HELP!
Answer:
The remainder is 24
Step-by-step explanation:
[tex]\frac{3x^4-2x^2+5x-6}{x+2}=[/tex]
[tex]3x^3+\frac{-6x^3-2x^2+5x-6}{x+2}=\\[/tex]
[tex]3x^3-6x^2+\frac{10x^2+5x-6}{x+2}=[/tex]
[tex]3x^3-6x^2+10x+\frac{-15x-6}{x+2}=[/tex]
[tex]3x^3-6x^2+10x-15+\frac{24}{x+2}[/tex]
Therefore, the remainder is 24.
Can you Please Answer, This question
Min and Evan played a video game. Min scored 6,978 points. This is 3 times the number of points that Evan scored.
How many more points did Min score than Evan?
Step-by-step explanation:
Find the score for evan then subtract the points for min and evan tu find the difference
La Sra. Conley le pregunta a su clase qué tipo de fiesta quieren tener para celebrar su comportamiento ejemplar. De todos los estudiantes en la clase, 5 quieren una fiesta de helado, 7 quieren una fiesta de películas, 10 quieren una fiesta de disfraces y los demás están indecisos. Si el20%, quiere una fiesta de helado, ¿cuántos estudiantes hay en la clase?
Answer:
En la clase hay 25 alumnos.
Step-by-step explanation:
La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y una incógnita, estableciendo una relación de proporcionalidad entre todos ellos.
De todos los estudiantes en la clase, 5 quieren una fiesta de helado. Sabiendo que el 20% de los estudiantes de la clase quiere una fiesta de helado, se puede aplicar la regla de tres: si el 20% de los estudiantes de la clase son 5 estudiantes, el 100% (totalidad de los alumnos) cuántos alumnos son?
[tex]totalidad de los alumnos=\frac{100*5}{20}[/tex]
totalidad de los alumnos= 25
En la clase hay 25 alumnos.
Plss help me with this equation
Answer:
x = 110 degree
Step-by-step explanation:
Hope this helps u !!
Find the slope of the line please! Will mark as brainliest :)
Answer:
D. [tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Reading a coordinate graphCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify points from graph
Point (-5, -3)
Point (3, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1--3}{3--5}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{4}{8}[/tex][Fraction] Simplify: [tex]\displaystyle m = \frac{1}{2}[/tex]8. The product of a non - zero whole number and its successor is always
(a) an even number. (b) an odd number. (c) a prime number (d) divisible by 3.
Answer:
( a ) an even number
Step-by-step explanation:
The product of a non - zero whole number and its successor is always an even number.
Answer:
A
Let a non-zero is X, if X is odd number than Successor become even. ( A+1= even number ) X is odd ×(A+1)= Even. If X is even number than Successor become odd
What is the answer for this?
Answer:
D. Four right angles
Step-by-step explanation:
Answer:
DStep-by-step explanation:
one of the property of all rectangles is that it has four right angles
:-)
Which equation represents y = x2 + 12x + 27 in vertex form?
y = (x + 6)2 − 9
y = (x + 6)2 + 21
y = (x + 6)2 + 9
y = (x + 6)2 + 27
Answer:
y = (x + 6)² - 9Step-by-step explanation:
Complete the square:
y = x² + 12x + 27
= x² + 2*6*x + 6² - 6² + 27
= (x + 6)² - 36 + 27
= (x + 6)² - 9
Correct choice is A
Math help please show work I will mark Brainlist if correct
Answer:
Step-by-step explanation:
(2). 1 yd ≈ 0.9144 m
1 yd³ ≈ 0.76455 m³
2 yd³ ≈ 1.53 m³ ≈ 2 m³
(3). 1 ft ≈ 0.3048 m
1 ft² ≈ 0.0929 m²
162 ft² ≈ 15.1 m²
(4). 1 mi ≈ 1.60934 km
1 mi² ≈ 2.59 km²
503 mi² ≈ 1302.8 km²
What is the volume of the plastic rocket???
Answer:
A) 151 in³ or 151 cubic inches
Step-by-step explanation:
Volume of rocket = Volume of Cylinder + Volume of Cone
Step 1
Find the volume of the cylinder
Volume of a cylinder = πr²h
r = Diameter/2
= 5/2 = 2.5 inches
h = 6 inches
Hence,
π × 2.5² × 6
= 117.81 cubic inches
Step 2
Find the volume of the cone
Volume of a cone =1/3 πr²h
h = 11 inches - 6 inches
= 5 inches
r = 2.5 inches
Hence,
1/3 × π × 2.5² × 5
= 32.72 cubic inches
Therefore:
Volume of rocket = Volume of Cylinder + Volume of Cone
= 117.81 cubic inches + 32.72 cubic inches
= 150.53 cubic inches
Approximately to the nearest inch = 151 in³ or 151 cubic inches
Option A is correct
Which geometric property is illustrated for the lengths of line segments: If DE = FG then FG = DE A. Reflexive Property B. Symmetric Property C. Transitive Property D. this is not a geomtric property as it does not hold
Answer:
I'm sorry I wish if I could help you but not sure of the answe
Answer:
B.
Symmetric Property
Step-by-step explanation:
Answers include A.5/13
B -5/13
C 5
D -5
Answer:
i solve the question and answer is (a)5/13
Please help, I will really appreciate all your help please :(
Answer:
should be y=-2/1x+2
Step-by-step explanation:
because the slope is going down 2 over 1 and the y-intercept is at positive 2
What is 2 log 5 + 5 log x written as a single logarithm?
Answer:
log (25 x^5)
Step-by-step explanation:
2 log 5 + 5 log x
We know alog b = log b^a
log 5^2 + log x^5
We know log a + log b = log (a*b)
log ( 5^2 * x^5)
5^2 = 25
log (25 x^5)
Answer:
log ( 25x⁵)
Step-by-step explanation:
2log5 + 5log xuse a×log × b = log b^a to transform the expression.
log 5² + log c⁵use log x + log y = log ( x×y ) to simplify the expression
log ( 5² x⁵)Evaluate the power
log ( 25x⁵)Jaira is volunteering to stack 12 boxes of soup cans at a community food bank. She stacks the boxes to form a right rectangular prism. Describe or show 2 different ways that Jaira could have arranged her boxes to still make a rectangular prism.
Example: 6 boxes long, 1 box wide, and 2 boxes high ( 6 x 1 x 2 = 12 boxes )
A second way is: 4 boxes, ? , ? 4 x ? x ? = 12 boxes
A third way is: ? ? x ? x ? = ? boxes
2. Would you measure the space these boxes’ shape take up the same way you counted the area that the rug covered on the floor? Explain.
Answer:
6 boxes wide
6 boxes wide
or 2high 2high 2high 2high 2high 2high
Step-by-step explanation:
6 wide and 6 wide to make 12. 6x2=12
2 high ×6 2×6=12
Find the values of x and y
X=
Y=
Answer:
x = 7
y = 4
Step-by-step explanation:
y + 12 = 3x - 5
5y - 4 = 3x - 5
So y + 12 = 5y - x
To solve the equation above, y =4
Sub y = 4,
x = 7
can yall please help me, try to explain in steps, tyy
Answer:
b. would be the answer bc it goes in a line if you were to connect the dots
Use the FOIL method to find the product.
(5x-8)(2x + 6)
Answer: 8
Step-by-step explanation:
Answer:
10x² + 14x - 48
Step-by-step explanation:
F: (5x)(2x) = 10x²
O: (5x)(6) = 30x
I: (-8)(2x) = -16x
L: (-8)(6) = -48
combine the two middle terms to get 14x
10x² + 14x - 48
write an equation to show the relationship between a and c when a = b + 9 b = c - 2
Given:
The equations are:
[tex]a=b+9[/tex]
[tex]b=c-2[/tex]
To find:
The equation that show the relationship between a and c.
Solution:
We have,
[tex]a=b+9[/tex] ...(i)
[tex]b=c-2[/tex] ...(ii)
Equation (i) can be rewritten as:
[tex]a-9=b[/tex] ...(iii)
From (ii) and (iii), we get
[tex]a-9=c-2[/tex]
[tex]a-c=9-2[/tex]
[tex]a-c=7[/tex]
Therefore, the required equation is [tex]a-c=7[/tex].
Middle school math!!
What does the graph tell you about the solution to the system equation?
Answer:
Step-by-step explanation:
The two lines intersect at one point. At this one point, the two students will have drunken the same amount of liquid.
There is sufficient info here so that one could determine that time and that volume of liquid if desired.
In a right triangle, the hypotenuse / the opposite side is:
answer choices:
cosine
cotangent
cosecant
secant
What is the constant of 8x^2-7x+6
Answer:
6 is the constant
Step-by-step explanation:
8x^2-7x+6
The constant is the term that does not change ( the one with out the variable)
6 is the constant
The angle measurements in the diagram are represented by the following expressions.
LA=5x-5°
ZB = 3x + 13°
B
Answer:
x=9
Step-by-step explanation:
angle A =angle B (because they are corresponding angles)
5x-5=3x+13
5x-3x=13+5
2x=18
x=18/2
x=9
angle A=5x-5
=5*9-5
=45-5
=40
angle B=3x+13
=3*9+13
=27+13
=40
Answer:
A = B
5X-5 = 3X+13
5X-3X. =13+5
2X =18
X = 9
5X-5
(5×9)-5
45-5
=40
ANGLE A=ANGLE B =40
PLEASE ANSWER 20 POINTS!
Answer:
Base - 7 yards
Height - 10 yards
Area - 35 square yards
Step-by-step explanation:
By definition, the base and height must be perpendicular. Technically, they are interchangeable, but base usually refers to the relative bottom of a figure.
The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is equal to [tex]A=\frac{1}{2}bh[/tex].
Therefore, we have:
[tex]A=\frac{1}{2}\cdot 7\cdot 10=\boxed{35\:\text{square yards}}[/tex]
