Answer:
£395.
Step-by-step explanation:
Call out fee=35
30 per hour = 2 hour to be =60
but,12 minutes in hours= 12/60= 0.2
0.2 = 0.2*30 = 6
2 hours and 12 minutes would be charge as
30 + 6 = 36
36*10 = 360
call out fee + per hour = 35 + 360 + 395
George the Pigeon travels the same distance of 72 miles
in 4 hours against the wind as he does traveling 3 hours
with the wind in the local skies. What is the speed of
George the Pigeon in still air and the speed of the wind?
Answer:
The speed of George the Pigeon in still air = 21 miles/hr
The speed of air = 3 miles/hr
Step-by-step explanation:
Let the speed of George the Pigeon in still air = [tex]u[/tex] miles/hr
Let the speed of air = [tex]v[/tex] miles/hr
Distance traveled = 72 miles
Relative speed against the wind = [tex](u-v)[/tex] miles/hr
Time taken against the wind = 4 hours
Relative speed with the wind = [tex](u+v)[/tex] miles/hr
Time taken against the wind = 3 hours
Using the formula:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
[tex]u-v=\dfrac{72}{4}\\\Rightarrow u-v=18 ..... (1)[/tex]
[tex]u+v=\dfrac{72}{3}\\\Rightarrow u+v=24 ..... (2)[/tex]
Adding (1) and (2):
[tex]2u=42\\\Rightarrow u = 21\ miles/hr[/tex]
By equation (1):
[tex]v = 21-18\\\Rightarrow v = 3\ miles/hr[/tex]
Therefore, the answer is:
The speed of George the Pigeon in still air = 21 miles/hr
The speed of air = 3 miles/hr
Question 10 of 10
Rewrite the following linear equation in slope-intercept form. Write your answer with no spaces. y+2=4(x-3).
Answer:
y=4x−14
Step-by-step explanation:
solve for y.
y+2=4(x−3)
distribute 4
y+2=4x-12
subtract 2 from both sides
y+2+−2=4x−12+−2
y=4x−14
Answer:
y=4x−14
Which equation represents the graph?
Answer:
The answer is A) y+4 =3(x+3)
Step-by-step explanation:
The slope is the rate of change, which you can see from the graph is m = 3/1 = 3.
Your options are given in point-slope form:
y-y1=m(x-x1)
Pick a point from the graph. I used;
(-3, -4). Now plug this into your point slope form equation.
y-(-4) = 3(x-(-3))
y+4=3(x+3)
I need help please sorry it’s like that a camera and a screen don’t work good together
Answer:
The value of x = 20.05
Step-by-step explanation:
As we know that the sum of the angles in a triangle is 180°.
From the diagram, we can say that the sum of the angles A, B, and C must be 180°.
so the equation of the sum of the angles of a triangle will be:
[tex]A+B+C=180^{\circ }[/tex]
As
[tex]A=43\frac{1}{4}^{\circ }[/tex]
[tex]B=5x^{\circ }[/tex]
[tex]C^{\circ }=36.5^{\circ }[/tex]
Substituting the values in the equation of the sum of the angles of a triangle to find the value of x.
[tex]A+B+C=180^{\circ }[/tex]
[tex]43\frac{1}{4}+5x+36.5=180[/tex]
[tex]\frac{173}{4}+5x+36.5=180[/tex] ∵ [tex]43\frac{1}{4}=\frac{173}{4}[/tex]
Subtract [tex]\frac{173}{4}+36.5[/tex] from both sides
[tex]\frac{173}{4}+5x+36.5-\left(\frac{173}{4}+36.5\right)=180-\left(\frac{173}{4}+36.5\right)[/tex]
[tex]5x=100.25[/tex]
[tex]\frac{5x}{5}=\frac{100.25}{5}[/tex]
[tex]x=20.05[/tex]
Therefore, the value of x = 20.05
VERIFICATION:
[tex]A+B+C=180^{\circ }[/tex]
[tex]43\frac{1}{4}+5x+36.5=180[/tex]
[tex]43\frac{1}{4}+5\left(20.05\right)+36.5=180[/tex]
[tex]180=180[/tex]
I need help with this one
Answer:
22%of 2346 is 516.12 which would be 516 persons
Find the value of y in the given parallelogram
Answer:
Y = 5
Step-by-step explanation:
first you subtract 5y from 9y to get 4y, then you add 13 to 7 to get 20, and then you divide 4 and 20 for your answer.
Need help with homework
Answer: A is (8.5,4) B is (2.5,1.5)
Step-by-step explanation:
A teacher keeps track of the number of students that participate at least three times in an optional study session each year. He models the attendance over the last nine years with this function. n(t) = 3.53t^2 - 33.04t + 117.56 Which graph would most likely be associated with the given model?
Answer:
its B
Step-by-step explanation:
The graph that would most likely be associated with the given model is an option(b).
What is a graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
The regression equation is:
n(t) = 3.53t^2 - 33.04t + 117.56
The above regression equation is a quadratic function and non-linear.
thus, the graph must represent a non-linear relationship.
From the graphs, the only graph of the option (b) represents a quadratic function.
Other given options are either linear models or exponential.
Hence, the graph that would most likely be associated with the given model is an option(b).
Read more about regression models at:
https://brainly.com/question/18469538
#SPJ2
whats 10000x1? Im an ideot,
Answer:
10000
Step-by-step explanation:
LOL its ok :)
Answer:
10000
Step-by-step explanation:
When we multiply two numbers, the answer we get is called 'product'. The number of objects in each group is called 'multiplicand,' and the number of such equal groups is called 'multiplier'. In math, to multiply means to add equal groups. ... The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product. The four basic mathematical operations--addition, subtraction, multiplication, and division--have application even in the most advanced mathematical theories. Thus, mastering them is one of the keys to progressing in an understanding of math and, specifically, of algebra.
:D
Brainliest?
What is 5 and 3/4 times 7 in fractions
Answer:[tex]\frac{161}{4}[/tex]
Step-by-step explanation:
What is 0.00000387 in scientific notation? A. 0.387 × 10–7 B. 3.87 × 10–6 C. 3.87 × 106 D. 387 × 10–8]
Answer:
C
Step-by-step explanation:
A waterfall has a height of 1700 feet. A pebble is thrown upward from the top of the falls with an initial velocity of feet per second. The height of the pebble h in feet after t seconds is given by the equation h=-16t^2+24t+1700 . How long after the pebble is thrown will it hit the ground?
PLEASE HELPPPPP
Answer:
[tex]t = 11.085[/tex]
Step-by-step explanation:
The expression is given as:
[tex]h=-16t^2+24t+1700[/tex]
Required
Determine how long it will hit the ground
When the pebble is on the ground, this implies that h = 0
So, we have that:
[tex]h=-16t^2+24t+1700[/tex] becomes
[tex]0=-16t^2+24t+1700[/tex]
Reorder
[tex]-16t^2+24t+1700 = 0[/tex]
Multiply through by -1
[tex]16t^2-24t-1700 = 0[/tex]
Solve using quadratic formula [tex]ax^2 + bx + c = 0[/tex]:
[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 16[/tex] [tex]b = -24[/tex] [tex]c = -1700[/tex]
So, we have:
[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]t = \frac{-(-24) \± \sqrt{(-24)^2 - 4*16*(-1700)}}{2*16}[/tex]
[tex]t = \frac{24 \± \sqrt{576 + 108800}}{32}[/tex]
[tex]t = \frac{24 \± \sqrt{109376}}{32}[/tex]
[tex]t = \frac{24 \± 330.72}{32}[/tex]
[tex]t = \frac{24 + 330.72}{32}[/tex] or [tex]t = \frac{24 - 330.72}{32}[/tex]
[tex]t = \frac{354.72}{32}[/tex] or [tex]t = \frac{-306.72}{32}[/tex]
[tex]t = 11.085[/tex] or [tex]t = -9.585[/tex]
But time can't be negative.
So: [tex]t = 11.085[/tex]
Hence, it will take 11.085 seconds to hit the ground
Combine like terms: -4x+3-7x-8
Answer:
Basicly you just combine the terms that are the same. Combine -4x and -7x. Also combine 3 with -8.
Step-by-step explanation:
What is the perimeter of a rectangle whose short sides are4 and long sides are3?
Answer:
Permimeter=14
Step-by-step explanation:
4+4=8. 3+3=6. 8+6=14. Perimeter equals 14.
For the function f defined by f(x) = x - 2, what is the value of f(7)? А 2 B 5 C 7 D 9
Answer:
f(7) =5
Step-by-step explanation:
f(x) = x - 2
f(7) means let x = 7
f(7) = 7-2
f(7) =5
Answer:
B. 5
Step-by-step explanation:
f(x) = x - 2 when x = 7
f(7) = 7 - 2
f(7) = 5
Best of Luck!
Does the ratio 15/12 and 5/4 form a proportion?
The answer is yes
Answer:
answer is c, I know because I took the test on edginuity
the ratio of potatoes to turnips is 1:1.if there are 473 potatoes how many turnips are there.
Answer:
473
Step-by-step explanation:
1:1
473:x
Cross Multiply
1x=473
Divide both sides by 1
x=473
A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these pens have to maximize the enclosed area?
Answer:
The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft
Step-by-step explanation:
we have the perimeter as 1000
So the sum of the lengths will be
1000/2 = 500
The dimensions that will maximize these pens will be such that they will have equal values
Mathematically, that will be 500/2 = 250 by 250
Robert bought some gifts that were each worth $25.90 at a store. He also bought one treat for himself that cost $4.00.
If Robert bought three gifts, which equation shows how to calculate the total amount of money he spent at the store?
A.3 x 25.90 +4= 89.70
B. O 3 x 25.90 +4= 81.70
C.3 x (25.90 + 4) = 89. 70
D.O3 (25.90 + 4) = 81. 70
Answer:
A
Step-by-step explanation:
Since Roberto bought 3 gifts, which are each $25.90, that would mean it would be 3×25.90. Plus, he bought himself a treat would would be a +4.
George claims that he is 3 years less than 3 times as old as his niece Pam will be one year from now. Let p= Pam’s age now. Write an expression to represent George's age. Then simplify the expression. If George is 42 years old now, how old will Pam be next year?
Answer:
G = George's age
G = 3(P+1) - 3
G = 3P + 3 - 3
G = 3P
Step-by-step explanation:
What is the rat pop in 1990?
What does the model predict the rat pop was in the year 2005?
Answer:
Pop in 1990 = 81 million rats
Pop in 2005 = 127 million rats
Step-by-step explanation:
Given the function, the population of rats in 1990 is when we replace t with "0" which strictly gives the coefficient 81 that represents 81 million rats.
The rat population in 2005 is given by the formula when t = 15
This is: approximately 127 million rats.
Find the slope of the line that passes through the given points.(-4, 7) and (-2, 8)
Answer:
[tex]m=\frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, 7)
Point (-2, 8)
Step 2: Find slope m
Substitute: [tex]m=\frac{8-7}{-2+4}[/tex]Subtract/Add: [tex]m=\frac{1}{2}[/tex]A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hotdogs and 13 dozen bratwursts for $330.00. The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $390.00 how much did each cost?
Answer:
Hotdogs are $12.00 for the dozen or $1.00 each
Bratwursts are $18.00 for the dozen or $1.50 each
Step-by-step explanation:
Keith receives $25000 salary for working as a account. If keith spends 40% of his salary on expenses each year, then how much money does Keith have to spend on expenses? Round your answer to the nearest whole number if necessary.
Answer:
$25000 * 40% = 100.000
Step-by-step explanation:
A certain lottery requires players to select 7 different numbers, in any order, from 1 to 51 inclusive. How many different sets of 7 numbers can be chosen?
Answer:
[tex]Selection = 345025251[/tex]
Step-by-step explanation:
Given
[tex]Total = 51[/tex]
[tex]Numbers = 7[/tex]
Required
Determine number of selection
It's important that
- The first number can be any of the 51 numbers
- The second number can be any of the 51 numbers
- The third number can be any of the 51 numbers
- The fourth number can be any of the 51 numbers
And so on
Hence, number of selections is:
[tex]Selection = 51 * 51 * 51 * 51 * 51[/tex]
[tex]Selection = 51^5[/tex]
[tex]Selection = 345025251[/tex] ways
A triangle has a base of 4 inches and a height of 12 inches. What is the area of the triangle?
Answer:
48Step-by-step explanation:
u just multiply 12x4=48Answer:
The area of the triangle is 24.
PLEASE HELP ME OUT FASTTTTT
Answer:
1 more slice
Step-by-step explanation:
1/2 of the pizza would be 4 since (8÷2=4)
So since we need 4 pizza slices to be gone in order to make 1/2 of the pizza...
and since we know that there are three slices missing....
the equation for this is 8-3=5 and we can't have 5 we need 4 so we need 1 more slice to be eaten
What's greater -5/7 or -2/7
I think -2/7.
-2/7 is closer to 0 which is neither positive nor negative.
-5/7 is closer to a whole negative number.
I need help with this!
Answer:
9/20
Step-by-step explanation:
3/8 - 4/5 - 3/8 + 5/4
-16/20 + 25/20
-16 + 25/20
9/20
Answer: The answer is 9/20.
Step-by-step explanation:
A) write an explicit formula for the sequence 12, 16, 20, 24 B) Find the 11th term of the sequence *
Answer:
[tex]T_n = 8+ 4n[/tex]
[tex]T_{11} = 52[/tex]
Step-by-step explanation:
Given
[tex]Sequence: 12, 16, 20, 24[/tex]
Solving (a): Write a formula
The above sequence shows an arithmetic progression
Hence:
The formula can be calculated using:
[tex]T_n = a + (n - 1) d[/tex]
In this case:
[tex]a = First\ Term = 12[/tex]
Difference (d) is difference of 2 successive terms
So:
[tex]d = 16 - 12 = 20 - 16 = 24 - 20[/tex]
[tex]d = 4[/tex]
Substitute 4 for d and 12 for a in [tex]T_n = a + (n - 1) d[/tex]
[tex]T_n = 12 + (n - 1) * 4[/tex]
Open Bracket
[tex]T_n = 12 + 4n - 4[/tex]
Collect Like Terms
[tex]T_n = 12 - 4+ 4n[/tex]
[tex]T_n = 8+ 4n[/tex]
Hence, the explicit formula is: [tex]T_n = 8+ 4n[/tex]
Solving (b): 11th term
This implies that n = 11
Substitute 11 for n in: [tex]T_n = 8+ 4n[/tex]
[tex]T_{11} = 8+ 4 * 11[/tex]
[tex]T_{11} = 8+ 44[/tex]
[tex]T_{11} = 52[/tex]
Answer:
A) The explicit formula for the sequence is [tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex].
B) The 11th term of the sequence is 62.
Step-by-step explanation:
A) Let [tex]f(0) = 12[/tex], we notice that sequence observes an arithmetic progression, in which there is a difference of 4 between two consecutive elements. The formula for arithmetic progression is:
[tex]f(n) = f(0) +r\cdot n[/tex] (1)
Where:
[tex]f(0)[/tex] - First value of the sequence, dimensionless.
[tex]r[/tex] - Arithmetic increase rate, dimensionless.
[tex]n[/tex] - Term of the value in the sequence, dimensionless.
If we know that [tex]f(0) = 12[/tex] and [tex]r = 4[/tex], then the explicit formula for the sequence is:
[tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex]
B) If we know that [tex]f(n) = 12+4\cdot n[/tex] and [tex]n = 10[/tex], the 11th term of the sequence is:
[tex]f(10) = 12+4\cdot (10)[/tex]
[tex]f(10) = 62[/tex]
The 11th term of the sequence is 62.