Answer:
i. daily charge = £13
ii. fixed charge = £6
Step-by-step explanation:
Number of days (x) | Cost in £ (y)
1 | 19
2 | 32
3 | 45
4 | 58
5 | 71
Using the given table, we can represent this situation with an equation in slope-intercept form, y = mx + b, where,
m = slope = daily charge
b = y-intercept = fixed charge
✔️Thus, using the coordinates of any two given pairs, say (1, 19) and (2, 32):
Slope (m) = ∆y/∆x = (32 - 19)/(2 - 1) = 13/1
Slope (m) = 13
Therefore daily charge = £13
✔️To find y-intercept (b), substitute (x, y) = (1, 19) and m = 13 into y = mx + b.
Thus:
19 = (13)(1) + b
19 = 13 + b
b = 19 - 13
b = 6
Therefore, fixed charge = £6
✔️Substitute m = 13 and b = 6 into y = mx + b to represent the function given for the situation:
y = 13x + 6
Find the value of x to the nearest tenth! HELP ME!!!!!!!!!!!!! (PICTURE IS BELOW)
Answer:
11.4
Step-by-step explanation:
By Pythagoras Theorem:
[tex]x^{2} = {7}^{2} + ( {4}^{2} + {8^{2}}) \\ \\ x^{2} = 49+(16 + 64)\\ \\ x^{2} = 49+80\\ \\ x^{2} = 129 \\ \\ x = \sqrt{129} \\ \\ x = 11.3578167 \\ \\ x = 11.4[/tex]
Find the missing angle of each triangle.
Answer:
1 is 64
2 is 85
3 is 56 hope this helps
Step-by-step explanation:
also how give brainly i want to give u brainly
Mr.Bhal has a circular wading pool with a radius of 3.5 feet. He bought a larger pool witha diameter of 21 feet. The measurements of each pool are shown below. How many times the circumference of the old pool is the circumference of the new pool?
Answer: i think c
Step-by-step explanation:
What is the solution to this system of equations?
2x+y=6
- 2 x - y = 2
(1,-1)
(0,8)
infinitely many solutions
O no solution
70+95 Factor the expression using the GCF
giving brain
Answer:
70 + 95 = 5(14 + 19)
70 + 95 = 5(14 + 19)
gcf = 5
Step-by-step explanation:
70+95
70=2*5*7
95=5*19
70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)
5*33=165 and 70+95=165 Hope this helps! Please give me brainly!
what is (x+2)^4 using binomial theorem and pascal’s triangle?
Answer:
x 4 +8x 3 + 24 x 2 + 32 x + 16
Step-by-step explanation:
The graph shows the relationship between the distance a car is driven and the number of gallons of gasoline used. Identify the value of d in the point (1, d). What does that point represent?
A. d=25; the unit rate is 25 miles per gallon
B. d=25; the unit rate is 25 gallons per mile
C. d=50; the unit rate is 50 miles per gallon
D. d=50; the unit rate is 50 gallons per mile
Answer:
B
Step-by-step explanation:
The "x" coordinate goes before the y coordinate. For example, it is (x, y)
To solve:
When the x coordinate, or the gasoline used (In gallons) is 1, then we need to find what d is.
On the graph, d = 25 miles per gallon.
So, the answer is B.
Arithmetic mean of marks (out of 25) scored by 10 students was 15. One of the student, named Karishma enquired the other 9 students and find the deviations from her marks are noted as −8,−6,−3,−1,0,2,3,4,6. Find Karishma's marks?
Answer:
Krishna's marks x marks
so...
xˉ=15
xˉ=15n=10
xˉ=15n=10∑x=x+x−8+x−6+x−3+x−1+x+x+2+x+3+x+4+x+6=10x−3
15=10x-3/10
150+3=10x
x=150/10=15.3 marks
Krishna scored 15.3 marks.
hope it helps you sis...
-1/3*12+14=2/3*12+2=
Answer:
10=10
Step-by-step explanation:
_1(12)+14=2(12)+2
3.
Find the simplified form of the expression. Give your answer in scientific notation.
(8 x 107) (7 x 104)
Round 8 5/9 to the nearest whole number. 9 10 7 8
Answer:
The answer would be 9,
Step-by-step explanation:
because it is closer to 9 than 8.
what's the following rotational symmetries of oranges regular hexagon
Answer:
rotational symmetry of 60 degrees around the origin - yes
rotational symmetry of 120 degrees around the origin - yes
Step-by-step explanation:
A regular hexagon has 6 congruent angles
the the angles created on the line of symmetry are equal to 60 so the angle of rotational symmetry is 60 degrees.
The regular hexagon, like stated before, has 6 congruent angles so the order of symmetry is 6
Here is a visual from basic-matematics
Sonya paid $4.39 for a hero. She paid $0.95 for an orange and $1.67 for a drink. What is the total amount Sonya paid for all three items?
If f(x)=x+5,g(x)=1-2x,h(x)=x-2 find fog,foh,goh,gof,hof
Answer:
The answer is below
Step-by-step explanation:
Function is a rule, or law that defines the relationship between one variable (the independent variable) and another variable (the dependent variable)
a) fog = f[g(x)] = f(1 - 2x) = 1 - 2x + 5 = 6 - 2x
b) foh = f[h(x)] = f(x - 2) = x - 2 + 5 = x + 3
c) goh = g[h(x)] = g(x - 2) = 1 - 2(x - 2) = 1 - 2x + 4 = 5 - 2x
d) gof = g[f(x)] = g(x + 5) = 1 - 2(x + 5) = 1 - 2x - 10 = 9 - 2x
e) hof = h[f(x)] = h(x + 5) = x + 5 - 2 = x + 3
please help me please
Answer: 7 texts 1 dollar, 5 texts 35 dollars
Step-by-step explanation:
if you have 49 is divisible by 7, and when you divide 49 by 7 you get 7. so 1 dollar you get 7 dollars. how do you get from 1 to five multiply 5, now multiply 7 by five to see how many texts you get for 5 dollars. im really not good at explaining i hope you get it though!!
What type of dilation occurs with a scale factor of 1/4?
Answer:
Congruent
Step-by-step explanation:
Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift; Lisa has 1/5 of her shift remaining. Out of the four employees, who has completed the least work time?
Answer:
Out of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.
Step-by-step explanation:
Since Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift of her; and Lisa has 1/5 of her shift remaining, to determine, out of the four employees, who has completed the least work time, the following calculation must be performed:
Phil: 4 - 1/4 = 3/4 = 0.75
Darren: 7 - 3/7 = 4/7 = 0.57
Alice: 8 - 1/8 = 7/8 = 0.875
Smooth: 5 - 1/5 = 4/5 = 0.8
Thus, of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.
The nutritional chart on the side of a box of a cereal states that there are 87 calories in a 3/4 cup serving. How many calories are in 8 cups of the cereal?
Answer:
Total calories in 8 cup = 928 calories
Step-by-step explanation:
Given:
Calories in 3/4 cup of cereal = 87 calories
Find:
Total calories in 8 cup
Computation:
Total calories in 8 cup = 8 x 87 x [4/3]
Total calories in 8 cup = 928 calories
can you help thanks
Answer:
1/48 or .2083
Step-by-step explanation:
dividing by 6 is the same as multiplying by 1/6, so if you multiply 1/8*1/6 you get 1/48
Answer: Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
1/48
Decimal Form:
0.02083
The three lines shown in the diagram below intersect at the same point. The measures of some of the
angles in degrees are given as...
Answer:
x =16, y = 151.2
Step-by-step explanation:
Since angle 3/5y and angle 12 and angle 42 lies on the same straight line,
[tex] \frac{3}{5} y + 12 + 42 = 180 \\ \frac{3}{5} y = 180 - 12 - 42 \\ \frac{3}{5} y = 180 - 54 \\ \frac{3}{5} y = 126 \\ y = 126 \div \frac{3}{5} \\ = 126 \times \frac{5}{3} \\ = 151.2[/tex]
Since angle 3(x-2) , 3/5y and 12 lies on the same straight line and we know what y is,
[tex]3(x - 2) + \frac{3}{5} y + 12 = 180 \\ 3(x - 2) + \frac{3}{5} (151.2) + 12 = 180 \\ 3(x - 2) + 126 + 12 = 180 \\ 3(x - 2) = 180 - 12 6 - 12 \\ 3(x - 2) = 42 \\ x - 2 = \frac{42}{3} \\ x = 14 + 2 \\ =16[/tex]
What is the value of the y-intercept of the graph of f(x) = 29(5.2)* ?
Answer:
(0,29)
Step-by-step explanation:
To find the y-intercept, substitute in
0 for x and solve for y OR use a graphing calculator.
what is the area of yhe following circle?either an exact answer in terms of or use 3.14 for and enter your ansert as a decimal
r=5
units2
Answer and Step-by-step explanation:
If the radius is 5, then we can plug 5 into the area of a circle equation.
A = [tex]\pi r^{2}[/tex]
A = [tex]\pi (5)^{2}[/tex]
A = 25[tex]\pi[/tex]
The area of a circle with radius 5 is 25[tex]\pi[/tex].
#teamtrees #PAW (Plant And Water)
Zoom in for a better look BUT HELP PLS ITS MY FINALS! I RLLY NEED HELP
Answer:
C.
Step-by-step explanation:
The word biodiversity means the variety of life and in this case, bats
Ecosystem 1 has the most variety bc it has the most number of different varieties of bats observed
hope this helps <3
find-5/6÷(-1/2) write the answer in the lowest terms.
Answer:
[tex]\dfrac{-5}{3}[/tex]
Step-by-step explanation:
We need to solve the given expression in the lowest form i.e.
[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})[/tex]
We know that,
[tex]\dfrac{a}{b}\div \dfrac{c}{d}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]
So,
[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})=\dfrac{5}{6}\times (-2)\\\\=\dfrac{-5}{3}[/tex]
So, the lowest form is equal to [tex]\dfrac{-5}{3}[/tex].
Someone help me right now
Answer:
33cm
Step-by-step explanation:
You need to add up all the sides
In the figure above, sin 52=17/c. Based on the figure, which of the following equations is also true
A. Sin 38= c/17
B. Cos 38=17/c
C. Cos 52=17/c
D. Tan 52=c/17
Answer:
c. Cos 52 = 17/c
Step-by-step explanation:
sin(x) = cos(90-x)
Please indicate which type of sampling design is most appropriate for each of the following studies. The choices are SRS, stratified random sampling, and matched pair design.
a. A campus newspaper randomly selects 20 common Spring Break destinations and surveys the residents about their attitudes of students spending Spring Break in their city.
b. A developer in West Lafayette wants to know if students who are renting off-campus like their apartment complex. They chose 10 students who lived in 5 different complexes.
c. A researcher wants to know the difference in time it takes to apply brakes between people who are not talking on the phone and people who are talking on a hands-free cell phone. She chose 100 individuals and then drive both ways in a simulator and measured their responses. A student organization has 55 members. Out of these members, five are selected randomly to attend a national conference.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
In point 1
The random selection stratified: although 50 statements belong to 5 different groups.
In point 2:
Coincide pair design: As we're in the SAME location to measure the difference between the downstream and upstream fractures. Although when calculating a top-down split they need only to calculate the low-up split which corresponds to the top-down split.
In point 3:
Matched layout: As 100 individuals were chosen and ALL were required to give BOTH and document certain responses.
In point 4:
SRS: RANDOMLY has also been selected since 20 spring break goals.
find the slope
!!HELP QUICKLY PLEASE!!
What is 0.69 expressed as a fraction in simplest form
Answer:
the answer is 69/100
plzz help really fast
Answer:
the answer is 32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Let's do it step by step:
[tex]-16(-5\frac{1}{2} \div 2\frac{3}{4}) = -16(\frac{-5\frac{1}{2}}{2\frac{3}{4}}) = -16(\frac{-\frac{11}{2}}{\frac{11}{4}}) = -16(-\frac{4}{2}) = -16\cdot(-2) = 32[/tex]