Answer:
p(1/2)= 0 , p(-1/2)= -2
Step-by-step explanation:
p(1/2)= 2(1/2)-1
= 1-1
= 0
p(-1/2) = 2(-1/2)-1
= -1-1
= -2
To safely cross a bridge, the most a delivery truck can weigh is 4 tons. The empty truck and driver weigh a total of 5,690 pounds. How many pounds of cargo can the truck safely carry?
Answer:
Truck can safely carry 2310 pounds of cargo.
Step-by-step explanation:
Given the safety limit of weight to cross the bridge safely is 4 tons.
1 ton is equal to 2000 pounds.
so, 4 tons are equal to 2000 [tex]\times[/tex] 4 = 8000 pounds
Now, given that
weight of empty truck and driver = 5690 pounds
To find:
Weight of cargo that the truck can safely carry ?
Solution:
Total weight of the truck is actually the combined weight of the empty truck, the drive and the cargo carried in it.
So, Total Weight allowed = 8000 pounds = 5690 pounds + Weight of Cargo
Weight of Cargo = 8000 - 5690 pounds
Weight of Cargo = 2310 pounds
Truck can safely carry 2310 pounds of cargo.
An architect is planning to put a circular mosaic in the entry of a new building. The mosaic will be in the shape of a circle with radius of 6 feet. How many square feet of tile will be needed for the mosaic? (Round your answer up to the next whole number.)
Answer:
113 square feet
Step-by-step explanation:
Since the shape of the mosaic that the architect would be using is circular is shape, the formula to apply to solve this question is area of a circle.
The formula for the area of a circle = πr²
In the above question,Area if a circle = πr²
radius of the circle = r = 6 feet
πr² = π × 6²
113.09733553 square feet
Approximately to the next whole number ≈ 113 square feet.
Therefore, the number in square feet of tiles needed for the mosaic is 113 square feet
12. If f(5) = 20.58 and f(6)= 2.94
f(7) = __. f(8) = Recursive Function:
Answer:
What's the answer
Step-by-step explanation:
The recursive function f(7) is = 7.f(8).
What is a recursive function ?A recursive function is a form of arithmetic or geometric sequence which repeats.
According to the given question f(5) = 20.58 and f(6) = 2.9.
Given it is a recursive function so it could be in form of arithmetic sequence or geometric sequence.
We have asked f(7) is how many times of f(8) from here we can conclude that it is in the form of geometric sequence.
f(5) = 20.58 and f(6) = 2.94 so the common ratio of n/(n-1) is
= 20.58/2.94
= 7.
Or we can say that f(5) is 7 times of f(6) which is 7.f(6) = f(5).
∴ f(7) = 7.f(8) = (1/7)f(6) = 0.42.
learn more about recursive function here :
https://brainly.com/question/23896867
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whats the area of the rectangle?
Answer:
24x^2-13x-2Step-by-step explanation:
Area of rectangle = Length ×Breadth
[tex]Length =8x+1\\Breadth = 3x-2\\\\A =\left(8x+1\right)\left(3x-2\right)\\\\=8x\times\:3x+8x\left(-2\right)+1\times\:3x+1\times\left(-2\right)\\\\=8\times\:3xx-8\times \:2x+1\times \:3x-1\times\:2\\\\=24x^2-13x-2[/tex]
The ratio of the profit, cost of materials and labour in the production of an article is 5:7:13 respectively. If the cost of materials is Le 840 more than that of labour, find the total cost of producing the article
Answer:
Total cost is 2,800
Step-by-step explanation:
The given ratio 5:7:13 represents profit to cost of materials to labour.
However it is stated that cost of materials is Le 840 more than that of labour
Cost of material - 840 = labour
Cost of material = labour - 840
Let
Cost of material be x, and labour be y
x ÷ y = 7 ÷ 13 (equation 1)
x = y - 840 (equation 2)
Substitute x from equation 1 in equation 2
(y - 840) ÷ y = 7 ÷ 13
13 (y -840) = 7y
y = 1,820
Substitute value of y in equation 2
x = 1820 - 840
x = 980
So total cost is cost of material plus cost of labour = 980 + 1820 = 2,800
This will satisfy the ratio of 5:7:13 representing profit to cost of materials to labour
Name three collinear points.
Type your answer as follows:
Answer:
A, B, E
Step-by-step explanation:
Three or more points are said to be collinear, if they lie on a single straight line
Please help I will give out brainliest
Answer:
a. L.B. = 20.5
b. U.B. = 21.5
Step-by-step explanation:
Length is measured 21 cm correct to 2 significant figures
a. Lower bound of 21
= 20.5 < 21
= 20.5
b. Upper bound of 21
= 21 < 21.5
= 21.5
50 points pls answer I will give Brainlyist
Answer:
point A: 2
point B: -3
your friend is incorrect
Step-by-step explanation:
Answer:
point A: 2
point B: -3
your friend is incorrect
Step-by-step explanation:
The back of Tom's property is a creek. Tom would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 920 feet of fencing available, what is the maximum possible area of the pasture
Answer:
Max Area = 105,800 sq.ft
Step-by-step explanation:
A square will always give us the maximum area.
Thus, one side would be;
920/4 = 230 feet
So, we want a square 230 ft by 230 ft
however, from the question, we are to use the creek as one side. So, we'll take the 230 ft that we don't need because of the creek and then add it to the opposite side to get 230 + 230 = 460 ft.
Thus,we now have a rectangle with dimensions: 230 ft by 460 ft
Area is given by;
area = length × width
Maximum Area = 230 × 460
Max Area = 105,800 sq.ft
x = y - 2
4x + y = 2
Answer:
x-y=-2.
4x+y=2.
Answer is x=4/3 or 1.333333333.
Substitute x into eqtn I.
4/3-y=-2.
y=4/3+2.
y=10/3=3.333333333.~3.33
Solve x^3 = 8/729 please answer
Answer:
x=2/9
Step-by-step explanation:
x^3=8/729
Hence,
x= cube root of (8/729)
x=cube root of 8
cube root of 729
x=2
9
Answer: decimal form : x=0.10475656
Step-by-step explanation:
Take roots of both sides and solve
PLZ HELPP ÁLGEBRA BASICS 8(x + 5)=
Answer:
8x+40
Step-by-step explanation:
8*x=8x
8*5=40
=8x+40
Hope This Helped!!!
Answer: 8x+40
Step-by-step explanation:
someone please help me
sᴏʟᴠᴇ ɪᴛ ʙʏ sᴜʙsᴛɪᴛᴜᴛɪᴏɴ ᴍᴇᴛʜᴏᴅ
Answer:
x = 1
y = 1
Step-by-step explanation:
Given:
x/a + y/b = 1/a + 1/bx/a - y/b = 1/a - 1/bAdd up the two equations side-by-side, this will cancel y/b and 1/b:
x/a+x/a = 1/a+1/a2x/a=2/ax = 1Subtract the two equations side-by-side, this will cancel x/a and 1/a:
y/b+y/b = 1/b+1/b2y/b=2/by=1Answer:
x = 1, y = 1
Step-by-step explanation:
[tex] \frac{x}{a} + \frac{y}{b} = \frac{1}{a} + \frac{1}{b} .....(1) \\ \frac{x}{a} - \frac{y}{b} = \frac{1}{a} - \frac{1}{b} .....(2) \\ \\ let \: \: \frac{1}{a} = m, \:\:\&\: \: \frac{1}{b} = n \\ so \: equatin \: (1) \: reduces \: to: \: \\ \\ so \: equatin \: (1) \: reduces \: to: \: \\ mx + ny = m + n....(3)\\ and \: equatin \: (2) \: reduces \: to: \: \\ mx - ny = m - n....(4) \\ adding \: equations \: (3) \: (4) \\ mx + ny = m + n \\ mx - ny = m - n \\ - - - - - - - - - - \\ 2mx = 2m \\ x = \frac{2m}{2m} \\ \huge \red{ \boxed{x = 1}} \\ substituting \: x = 1 \: in \: equatin \: (3) \\ m \times 1 + ny \: = m + n \\ m + ny \: = m + n \\ ny = m + n - m \\ ny = n \\ y = \frac{n}{n} \\ \huge \purple{ \boxed{y = 1}}[/tex]
What is 3 3/5x(-8 1/3)=
Answer:-30
Step-by-step explanation:
If the relation is a function, list the domain and range. If the relation is not a function, choose "not a function". C = {(9, 1) (8, -3) (7, 5) (-5, 3)} A: Domain: {9, 8, 7, -5} Range: {1, -3, 5, 3} B: Domain: {1, -3, 5, 3} Range: {9, 8, 7, -5} not a function
Answer:
A: Domain: {9, 8, 7, -5} Range: {1, -3, 5, 3}
Step-by-step explanation:
C = {(9, 1) (8, -3) (7, 5) (-5, 3)}
The domain is the inputs
Domain: { -5,7,8,9}
The range is the output
Range{ -3,1,3,5}
This is a functions since there is no input that goes to multiple outputs
find the equation of the line that is parallel to y = 3x - 2 and contains the points ( 2,11 )
Answer:
Below
Step-by-step explanation:
Let y' = mx + b be the equation of the second line
● m is the slope
● b is the y-intercept
The lines are parallel so they have the
same slope.
● y' = 3x + b
The second line crosses the point with the coordinates (2,11)
Replace y' by 11 and x by 2 to find b
● 11 = 3×2 + b
● 11 = 6 + b
Substract 6 from both sides
● 11 - 6 = 6 + b -6
● b = 5
So
● y' = 3x + 5
how many square feet of grass are there on a trapezoid field with a height of 75ft. and bases of 125ft. and 81ft?
formula: A=h(b1+b2/2)
Answer:
area= 7725
Step-by-step explanation:
A = 75((125+81)/2) A = 75(206/2) A = 75(103) A = 7725 The area is 7725 square feet
Simplify (−8 + 8i) − (5 + 4i)
Answer: 13 + 12i
Step-by-step explanation:
Answer:
-13+4i
Step-by-step explanation:
(-8+8i)-(5+4i)
(-8+8i)-5-4i
-8+8i-5-4i
-8-5+8i-4i
-13+4i
f(x)=2x+1 find x if f(x)=16 . Please help with this
Answer:
[tex]x=15/2=7.5[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(x)=2x+1[/tex]
And we want to find x such that:
[tex]f(x)=16[/tex]
To do so, substitute 16 for f(x):
[tex]f(x)=2x+1\\16=2x+1[/tex]
Subtract 1 from both sides. The right side cancels:
[tex](16)-1=(2x+1)-1\\2x=15[/tex]
Divide both sides by 2. The left side cancels:
[tex](2x)/2=(15)/2\\x=15/2=7.5[/tex]
The value of x is 7.5
Answer:
[tex]x=\frac{15}{2}[/tex]
Step-by-step explanation:
We are given the value of f(x). Insert this value into the original equation:
[tex]f(x)=16\\\\16=2x+1[/tex]
Solve for x. Subtract 1 from both sides:
[tex]16-1=2x+1-1\\\\15=2x[/tex]
Divide both sides by 2 to isolate x:
[tex]\frac{15}{2} =\frac{2x}{2} \\\\\frac{15}{2}=x[/tex]
When f(x) equals 16, x is equal to [tex]\frac{15}{2}[/tex]
2x - y2
Z-5
Evaluate when x = 2, y = 4
z=3
Answer:
Putting the value in x = 2 , y =4 in 2x - 2y we get,
2 × 2 - 4× 2= 4-8 = -4
Putting the value in z = 3 in z - 5 we get,
z - 5 = 3 - 5 = -2
Fuad’s model racing car drives at an average speed of 3 feet per second. Fuad records the distances and times in a table like the one shown below. Speed of Model Race Car Distance (ft.) 3 Time (s) 1 At this rate, how long will it take the car to travel 21 feet?
Answer:
7.0 seconds
Step-by-step explanation:
i did the test but how i know this is bc 3 divided by 21 is 7
NOT 9
DON'T USE 9 AS THE ANSWER
Answer:
7.0 seconds
Step-by-step explanation:
Which phrase matches the algebraic expression below 2(x-7)+10
Answer:
The sum of a number and 7 multiplied by 2 is increased by 10
Step-by-step explanation:
A species of phytoplankton measures about 2 × 10−6 in. A grain of sand measures about 1 × 10−4 in. About how many times longer is the grain of sand than the phytoplankton? A. 20 times greater B. 50 times greater C. 100 times greater D. 200 times greater
Answer:
B. 50 times greater
Step-by-step explanation:
Given;
size of phytoplankton = 2 × 10⁻⁶ in
size of sand grain = 1 × 10⁻⁴ in
Determine how many times longer the grain of sand is than the phytoplankton.
Divide the sand size by the phytoplankton size, to find out how much greater the sand is.
This can be done by equating it as follows;
2 × 10⁻⁶ (y) = 1 × 10⁻⁴
[tex]y = \frac{1*10^{-4}}{2*10^{-6}} \\\\y = 50[/tex]
Therefore, the grain of sand is 50 times greater than the phytoplankton
B. 50 times greater
40% of one spig is a spoog. 25% of a speeg is a spoog. 70% of a speeg is a spug. what percent of 1 spig is 5 spugs?
Answer:
5 spugs is 560% of 1 spig
Step-by-step explanation:
a - spig
b - speeg
c - spoog
d - spug
40% of one spig is a spoog: 40%a = c
25% of a speeg is a spoog: 25%b = c
70% of a speeg is a spug: 70%b = d
what percent of 1 spig is 5 spugs?: x%a = 5d
40%a = c and 25%b = c
40%a = 25%b
[tex]b=\frac{40\%a}{25\%}=1.6a[/tex]
d = 70%b = 70%•1.6a = 112%a
x%a = 5d
x%a = 5•112%a
÷a ÷a
x% = 560%
evaluate the expression
Answer:
-5
Step-by-step explanation:
We are given the expression:
[tex]\frac{1}{4} [-5+5(-3)][/tex]
and asked to evaluate.
We must solve this expression according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
Solve inside the brackets first. Multiply 5 and -3.
5 * -3= -15
[tex]\frac{1}{4} [-5+-15][/tex]
Add -5 and -15.
-5+-15= -20
[tex]\frac{1}{4} [-20][/tex]
Finally, multiply 1/4 and -20, or divide -20 by 4.
1/4 * -20 = -5 OR -20/4= -5
[tex]-5[/tex]
When evaluated, the expression 1/4 [ -5 +5(-3)] is equal to -5.
solve the equation for x
2x+2(3x-8=32)
[tex]2x+2(3x-8)=32\\2x+6x-16=32\\8x=48\\x=6[/tex]distribute and collect like-terms
to make sure of the answer:
[tex]2x+2(3x-8)=32\\2(6)+2(3(6)-8)=32\\12+2(18-8)=32\\12+36-16=32\\12+20=32\\32=32[/tex]
Pls help ASAP
→ What is 55/99 rounded to the nearest half? ←
A.) 0
B.) 1/2
C.) 1
D.) 1 1/2
==========================================
Explanation:
55 is close to 50
99 is close to 100
55/99 is close to 50/100 = 1/2
Using a calculator, 55/99 = 0.556 approximately which rounds to 0.5 = 1/2
The area of a blackboard is 1 1 third square yards. A poster's area is 8 over 9 square yards. What is the unit rate of the blackboard's area to the poster's area?
Step-by-step explanation:
Given that,
The area of a blackboard is [tex]1\dfrac{1}{3}=\dfrac{4}{3}\ \text{yards}^2[/tex]
The area of poster is [tex]\dfrac{8}{9}\ \text{yards}^2[/tex]
We need to find the unit rate of the blackboard's area to the poster's area. So, it can be calcualted by dividing blackboard's area to the poster's area.
So,
[tex]\dfrac{\dfrac{4}{3}}{\dfrac{8}{9}}=\dfrac{4}{3}\times \dfrac{9}{8}\\\\=1.5[/tex]
So, the rate of [tex]1.5\ \text{yard}^2[/tex].
Write 2x+4y=8 slope intercept form (solve for y)
Answer:
[tex]\boxed{y=-\frac{1}{2}x+2}[/tex]
Step-by-step explanation:
[tex]2x+4y=8\\\\2x-2x+4y=8-2x\\\\4y=8-2x\\\\\frac{4y=8-2x}{4}\\\\y=2-\frac{2}{4}x\\\\ y=2-\frac{1}{2}x\\\\\boxed{y=-\frac{1}{2}x+2}[/tex]
Hope this helps.
Answer:
y=4-x/2
Step-by-step explanation: