A cafeteria sells 30 drinks every 15 minutes.How many drinks would they sell in 1 hour?
for f(x)=5x+1 find f(x) when x=2 and when x=3
Answer:
f(x)=11 and f(x)=16
Step-by-step explanation:
f(x)=5(2)+1
f(x)=11
f(x)= 5(3)+1
f(x)=16
rosa scored 174,325 points a games to the nearest ten thousand
click on the graph until the graph of a line with undefined slope appears
please help! picture is above!
The slope is undefined for figure 2.
In general, when the x-values or x-coordinates is the same for both points, the slope is undefined.
For example, let us try to get the slope for a line passing through the points (1, 3) and (1, 9)
Let x₁ = 1 , y₁ = 9 and x₂ = 1 and y₂ = 3
Slope, m = (y₂ − y₁)/((x₂ − x₁)
m = (3 − 9)/(1 − 1)
m = -6/0, which is undefined.
Is 9r+16=π/5 a literal equation?
The given equation is
[tex]\rightarrow 9r+16=\frac{\pi}{5}[/tex]
The value of π is 3.14 or [tex]\frac{22}{7}[/tex] that is a fixed Value.
[tex]\rightarrow 9r +16=\frac{3.14}{5}\\\\9r+16=0.628\\\\9r=0.628-16\\\\9r=-15.372\\\\r=\frac{-15.372}{9}\\\\r=-1.708[/tex]
So, the given equation is Literal ,because variable value is Known.
A literal equation is an equation that has at least one letter or one unknown variable.
[tex]9r + 16= \frac \pi 5[/tex] is a literal equation because it has letter r
Given that:
[tex]9r + 16= \frac \pi 5[/tex]
By analyzing the equation, we have:
[tex]9, 16, 5 \to[/tex] number
[tex]r \to[/tex] letter
[tex]\pi \to[/tex] constant
Because r is a letter, then the equation is a literal equation
Read more about literal equations at:
https://brainly.com/question/9603210
anita says ray CD can also be called ray dc. do you agree?
What is u + v + w when u = –10, v = 4, and w = 8? (7th grade math ._.)
A.–22
B.2
C.14
D.22
please help me solve this maths problem ☺
Answer:
lets
h =# of hens in the filed and c = # of cows in
the field
hens and cows have 50 heads
h + c = 50 (1)
hens and cows have 180 legs (hen has 2
legs and cow has 4 legs)
2h+4c180 (2)
From equation (1) h + c = 50 ----> h = 50 - c
substitute h = 50 c into 2h + 4c = 180 (
-
2h+4c 180
2(50-c) + 4c = 180
1002c+ 4c = 180
2c 180-100
2c=80
C = 40
2h + 4(40) = 180
2h+160 180
2h = 20
h = 10
answer
hens = 10 and cows = 40
double check:
heads: 10 hens + 40 cows = 50 total legs:10(2) + 40(4) = 20 + 160 = 180
The digit with the greatest value 6789
The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in feet of the cable above the roadway, x is the horizontal distance in feet from the left bridge support, a is a constant, and (h, k) is the vertex of the parabola. At a horizontal distance of 30 ft, the cable is 15 ft above the roadway. The lowest point of the cable is 6ft above the roadway and is a horizontal distance of 90 ft from the left bridge support.Which quadratic equation models the situation correctly?
The main cable attaches to the left bridge support at a height of ft.
The main cable attaches to the right bridge support at the same height as it attaches to the left bridge support. What is the distance between the supports?
Answer:
26.25 ft.
Step-by-step explanation:
The general form of a parabola is [tex]y = a(x - h)^2 + k[/tex], where the vertex of the parabola is (h,k).
The equation of the parabola is [tex]y = 0.0025(x - 90)^2 + 6[/tex].The distance between the supports at a vertical height of 26.25 is 180ftGiven that
[tex]y = a(x - h)^2 + k[/tex]
A. The quadratic equation
The lowest point (which stands for the vertex) is given as:
[tex](h,k) = (90,6)[/tex]
So, we have:
[tex]y = a(x - 90)^2 + 6[/tex]
From the question, we understand that:
At a horizontal distance of 30ft, the cable is at 15ft. This means:
[tex](x,y) = (30,15)[/tex]
Substitute these values in: [tex]y = a(x - 90)^2 + 6[/tex]
So, we have:
[tex]15 = a(30 - 90)^2 + 6[/tex]
[tex]15 = a(- 60)^2 + 6[/tex]
[tex]15 = a \times 3600 + 6[/tex]
Collect like terms
[tex]3600a = 15 - 6[/tex]
[tex]3600a = 9[/tex]
Make a, the subject
[tex]a = \frac{9}{3600}[/tex]
[tex]a = 0.0025[/tex]
Substitute [tex]a = 0.0025[/tex] in [tex]y = a(x - 90)^2 + 6[/tex].
[tex]y = 0.0025(x - 90)^2 + 6[/tex]
B. The horizontal distance at a height of 26.25ft.
This means that, y = 26.25
So, we have:
[tex]26.25 = 0.0025(x - 90)^2 + 6[/tex]
Collect like terms
[tex]-6 + 26.25 = 0.0025(x - 90)^2[/tex]
[tex]20.25= 0.0025(x - 90)^2[/tex]
Divide both sides by 0.0025
[tex]8100 = (x - 90)^2[/tex]
Take square roots of both sides
[tex]\±90 = x - 90[/tex]
Solve for x
[tex]x = 90 \± 90[/tex]
To the left of the cable, the horizontal distance is:
[tex]x_1 = 90 - 90[/tex]
[tex]x_1 = 0[/tex]
To the right of the cable, the vertical distance is:
[tex]x_2 = 90 + 90[/tex]
[tex]x_2 = 180[/tex]
So, the coordinates of the left and right support at a height of 26.25 is:
(0,26.25) and (180, 26.25)
The distance (d) between them is calculated using:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}[/tex]
[tex]d = \sqrt{(180- 0)^2 + (26.25-26.25)^2}[/tex]
[tex]d = \sqrt{180^2 + 0^2}[/tex]
[tex]d = \sqrt{180^2}[/tex]
[tex]d = 180[/tex]
The distance between them is 180ft
Read more about equations of parabola at:
https://brainly.com/question/5428385
What is 10 times as much as 900
Explain how to find the greatest common factor of three numbers
How many ways can you stack 77 books into equal piles
A triangle has one angle measuring 3X degrees the second angle measures 2X +20° and the third angle measures 4X -20° what is the value of X
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
We have been a triangle has one angle measuring [tex]3x[/tex] degrees the second angle measures [tex]2x+20[/tex] degrees and the third angle measures [tex]4x-20[/tex] degrees. We are asked to find the value of x.
We know that all interior angles of a triangle add up-to 180 degrees.
[tex]3x+2x+20+4x-20=180[/tex]
Combine like terms:
[tex]3x+2x+4x-20+20=180[/tex]
[tex]9x=180[/tex]
Divide both sides by 9:
[tex]\frac{9x}{9}=\frac{180}{9}[/tex]
[tex]x=20[/tex]
Therefore, the value of x is 20 for our given triangle.
The hot dog eating champion eats 27.5 hot dogs in 4 minutes. At that rate, how many does he eat in to 10 minute competition
Patio covers 56 square yards find length of a side of patio to nearest tenth of yard
The length of a side of the patio, rounded to the nearest tenth of a yard, is 7.5 yards.
Explanation:To find the length of a side of the patio, we need to find the square root of the area. The area of the patio is given as 56 square yards.
To find the length of a side, let's take the square root of 56. The square root of 56 is approximately 7.48.
Therefore, the length of a side of the patio, rounded to the nearest tenth of a yard, is 7.5 yards.
Learn more about Finding the length of a side of a patio here:https://brainly.com/question/33642954
#SPJ11
Please help! All the questions.
. Which numbers are all divisible by 5?
1. 124, 333, 315, 266, 391
2. 135, 205, 330, 275, 365
3. 135, 211, 330, 274, 252
4. 232, 250, 365, 225, 210
A water bottle holds 3 1/3 c of water. A bowl holds 2 1/4 times the amount in the water bottle. How much water does the bowl hold? Express your answer as a mixed number in the simplest form.
Answer: 7/100
Step-by-step explanation:
Count with yo Hands fool
Write an equation and solve. If four times Catherine’s age is subtracted from 5 times Jose’s age, the difference is 32 years. Jose is sixteen. Find Catherine’s age.
A student solved the following problem and made an error:
Triangles ABC and DEF. Angles A and F are congruent and measure 63 degrees. Coordinates for the vertices are at A 1, 2 and B 1, 4 and C 3, 3 and D 5, 1 and E 3, 2 and F 5, 3.
Line 1 segment AB equals 2, segment FD equals 2, segment AB is congruent to segment FD
Line 2 ∠A ≅ ∠F
Line 3 Length of segment AC.
A (1, 2)
C (3, 3)
d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub 1 squared, then d equals square root of quantity 1 minus 3 all squared plus quantity 2 minus 3 all squared, then d equals square root of negative 2 squared plus negative 1 squared, then d equals square root of 4 plus 1, then d equals square root of 5
segment AC = 2.23
Line 4 Length of segment EF.
E (3, 2)
F (5, 3)
d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub squared then d equals square root of quantity 3 minus 5 all squared plus quantity 2 minus 3 all squared, then d equals square root of negative 2 squared plus negative 1, then d equals square root of 4 plus 1, then d equals square root of 5
segment EF= 2.23
Line 5 segment AC is congruent to segment FE
Line 6 triangle ABC is congruent to triangle EFDby SAS
In which line did the student make the first mistake?
Line 1
Line 5
Line 6
Line 2
How is the number five thousands and eighty-five thousandths written in decimal form?
A) 5000.0085
B) 500.00085
C) 5000.085
D) 5000.85
I chose answer C. Is this correct?
The decimal form of 'five thousands and eighty-five thousandths' is 5000.085. Therefore, your answer choice C) 5000.085 is correct.
Explanation:The decimal number 5000.085 can be understood as a combination of two distinct parts: the whole number component, 5000, signifies 'five thousands,' representing a quantity in the thousands place, and the fractional part, 0.085, signifies 'eighty-five thousandths,' indicating a value less than one but greater than zero. When these two components are integrated, the number 5000.085 emerges, illustrating a precise quantity with both an integral and fractional significance. This understanding showcases the inherent nature of decimal notation, where whole numbers and fractional values harmoniously coexist, providing a comprehensive representation of numerical quantities.
Learn more about Decimal Notation here:https://brainly.com/question/35871564
#SPJ2
differentiation. questions 1 and 2
Evaluate -2/3 to the 4th power
Which is greater 1/3 or 0.33
The greater number between 1/3 and 0.33 is 1/3
How to determine which fraction is greaterFrom the question, we have the following parameters that can be used in our computation:
1/3 or 0.33
Express them as decimals
So, we have
1/3 = 0.333..
0.33 = 0.33
By comparison
0.333.. is greater than 0.33
This means that the greater number is 1/3
Read more about fractions ta
https://brainly.com/question/31896427
#SPJ6
Solve inequality.
x + 1 > -5(7 - 2x)
A weightlifter holds a 1,700 N barbell 1 meter above the ground. One end of a 2-meter-long chain hangs from the center of the barbell. The chain has a total weight of 500 N. How much work (in J) is required to lift the barbell to a height of 2 m
The work required to lift the barbell to a height of 2 m is 1,700 J.
Explanation:To calculate the work required to lift the barbell to a height of 2 m, we need to consider the gravitational potential energy. The work done is equal to the change in potential energy.
The initial potential energy of the barbell is equal to its weight multiplied by the initial height, which is 1,700 N * 1 m = 1,700 J.
The final potential energy of the barbell is equal to its weight multiplied by the final height, which is 1,700 N * 2 m = 3,400 J.
Therefore, the work required to lift the barbell to a height of 2 m is 3,400 J - 1,700 J = 1,700 J.
Learn more about Work and Energy here:https://brainly.com/question/16987255
#SPJ12
What is 4 3/4 times 2 1/8 5 simplified? Helppppp
A flower bed has the shape of a rectangle 9 yards long and 3 yards wide. What is its area in square feet?
Answer:
243 ft2
Step-by-step explanation:
9*3= 27
3*3= 9
27*9=243 ft2
The area of the rectangular flower bed is 243 square feet.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
Given that a flower bed has the shape of a rectangle 9 yards long and 3 yards wide.
Length = 9 yards = 9 x 3 feet = 27 feet
Width = 3 yards = 3 x 3 feet = 9 feet
The area of the rectangular flower bed will be calculated as,
Area = L x W
Area = 27 x 9
Area = 243
To know more about the area of the rectangle follow
https://brainly.com/question/25292087
#SPJ2
A wheelchair access ramp has an angle of elevation of 18°. If the ramp reaches the top of a 26 inch high porch, how long is the ramp