The value of the given and completed expression in this problem is
-1
What are combined operations?Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.
In this case we have an arithmetic polynomial.
We complete the expression as follows:
1 + 2 - 3 + 4 - 5
We group the positive terms on one side and negative terms on the other:
(1 + 2 + 4) - (3 + 5)7 - (8)-1The value of the expression (1 + 2 - 3 + 4 - 5) is -1
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The filament of a car headlight is a thin wire that glows when electricity passes through it. Parabolic reflectors with a filament at the focus send light out in a straight beam. The cross section of a 2 inch deep headlight reflector has the equation y2=6x.
A. Draw a sketch of this situation. Include the location of the focus in your drawing.
B. How wide is the beam of light projected from the headlight's reflector? Show all work and give your answer as a decimal rounded to hundredths place.
Answer:
A. Please find attached the drawing of the reflector showing the location of the focus created with Microsoft Excel
B. The width of the beam of light projected from the headlight's reflector is approximately 6.93 inches
Step-by-step explanation:
The given equation representing the cross section of the headlight reflector is y² = 6·x
The shape of the reflector = Parabolic
The general equation of a parabola is (y - k)² = 4·p·(x - h)
The focus of the parabola, Focus = (h + p, k)
By comparison to the general equation of a parabola, from the equation of the reflector, we have;
k = 0, h = 0, 4·p = 6
∴ p = 6/4 = 3/2 = 1.5
∴ The focus of the parabola = (1.5, 0)
A. Please find attached the graph of the equation of the cross-section of the reflector, showing the filament at the focus, created with Microsoft Excel
B. The depth of the reflector is x = 2 inches
A vertical or horizontal parabola has two x-values for a given y-value or two y-values for a given x-value respectively
For the given horizontal parabola, the width of a parabola at a point is the difference between the two y-values at the point
At x = 2, we have;
y² = 6 × x = 6 × 2 = 12
∴ y = ±√(12)
The two y-values at x = 2 are y₁ = √(12) and y₂ = -√(12)
The width of the parabola, w = y₁ - y₂
The width of the parabola at x = 2, w = √(12) - (-√(12))
∴ w = √(12) +√(12) = 4·√3
The width of the parabola at x = 2, w = 4·√3 inches
The width of the parabola at x = 2 = The width of the beam of light projected from the headlight's reflector = 4·√3 inches
By giving the answer as a decimal and rounded to the hundredths place, we have;
The width of the beam of light projected from the headlight's reflector ≈ 6.93 inches.
Audria rode her bicycle for 2 hours. She drove a total of 21 miles. At this rate, how many miles will she bike in ½ hour? A 612 6 1 2 B 634 6 3 4 C 534 5 3 4 D 514
Answer:
5 1/4
Step-by-step explanation:
Speed = distance / time
21 / 2 = 10.5
10.5 = distance / 0.5
distance = 10.5 x 0.5 = 5,25 miles or 5 1/4
Help????? I don’t know which is right
Answer:
C
Step-by-step explanation:
Given
tanθ = [tex]\frac{1}{2}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]
This is a right triangle with legs 1 and 2
Using Pythagoras' identity
hypotenuse² = 1² + 2² = 1 + 4 = 5 ( take square root of both sides )
hypotenuse = [tex]\sqrt{5}[/tex]
θ is in the 3rd quadrant where sinθ < 0 , then
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = - [tex]\frac{1}{\sqrt{5} }[/tex] ← rationalise the denominator
= - [tex]\frac{1}{\sqrt{5} }[/tex] × [tex]\frac{\sqrt{5} }{\sqrt{5} }[/tex]
= - [tex]\frac{\sqrt{5} }{5}[/tex] → C
Movie tickets are $4 for regular admission and $3 for seniors. On a night where there were 190 people and total sales of $720 how many regular admission tickets were sold?
A. 50
B. 150
C. 40
D. 140
Answer:
150
Step-by-step explanation:
So if we rearrange the second equation we can get:
s = 190 - a
Now we substitute this into the first equation:
4a + 3(190 - a) = 720
4a + (570 - 3a) = 720
4a + 570 - 3a = 720
4a - 3a = 720 - 570
a = 150
I know the answers to this problem. I will give brainiest to the first one who ANSWER IS CORRECT.
255 X 35 X 97 X 56 ÷ 2
Answer:
24240300
Step-by-step explanation:
multiply the numbers thand divide by 2.
Find the areas of the trapezoids
Answer:
12 units²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 4 ( perpendicular distance between the bases ) and
b₁ = SR = 2, b₂ = TA = 4 , then
A = [tex]\frac{1}{2}[/tex] × 4 × (2 + 4) = 2 × 6 = 12 units²
the answer of √ 9+4√5 is?
Answer:
3 + 4√5 or 11.94
Step-by-step explanation:
√ 9+4√5
√9 = 3
3 + 4√5
A bag of flour weighs 15 kg. A baker has one bag of flour. She uses 1.065 kg every day. How much flour does she use in 8 days? How much flour is left over after 8 days?
Answer:
She uses 8.52 kgs of flour in 8 days
There are 6.48 kgs of flour left over after 8 days.
Step-by-step explanation:
First, you need to multiply 1.065 by 8 to get how much flour she uses in 8 days.
1.065 times 8 is 8.52. She uses 8.52 kgs of flour in 8 days.
Now, to get how much flour is left over after 8 days, you need to subtract 8.52 from 15 kgs.
15 - 8.52 = 6.48 kgs.
Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Baseline) (y Superscript negative 2 Baseline) Over 2 (x Superscript 4 Baseline) (y superscript negative 4 Baseline) EndFraction) Superscript negative 3, when x = negative 1 and y = 2.
Step 1:
Substitute x = negative 1 and y = 2 into the expression.
(StartFraction (negative 1) Superscript negative 3 Baseline (2) Superscript negative 2 Baseline Over 2 (negative 1) Superscript 4 Baseline (2) superscript negative 4 Baseline) EndFraction) Superscript negative 3
Step 2:
Simplify the parentheses.
(StartFraction (2) Superscript 4 Baseline Over 2 (negative 1) Superscript 4 Baseline (negative 1) cubed (2) squared EndFraction) Superscript negative 3 Baseline = (StartFraction (2) squared Over 2 (negative 1) Superscript 7 Baseline EndFraction) Superscript negative 3
Step 3:
Evaluate the power to a power.
StartFraction (2) Superscript negative 6 Baseline Over 2 Superscript negative 3 Baseline (negative 1) Superscript negative 21 baseline EndFraction
Step 4:
Use reciprocals and find the value.
StartFraction 1 Over 2 cubed (2) Superscript 6 Baseline (negative 1) Superscript 21 Baseline EndFraction = StartFraction 1 Over 8 times 64 times (negative 1) EndFraction = Negative StartFraction 1 Over 512 EndFraction
In which step did Rena make the first error?
Answer:
c) Step 3
Step-by-step explanation:
Answer:
Its D
Step-by-step explanation:
the person above me is wrong :)
can you help me i will mark if i can
Answer:
i think it is d
Step-by-step explanation:
Ming took a cab across town. His fare was $22, and he leaves an 18, percent tip.
What is the total amount Ming pays the cab driver?
Answer:Ming pays $25.96 to the cab driver.
Step-by-step explanation:
Ming took a cab across town, his fare of cab = $22.00
He leaves a tip of 18% of total fare = 18% of $22.00
Total amount = (18% of $22) + $22.00
( 18/100× 22) + 22.00
= (0.18 × 22) + 22.00
= 3.96 + 22.00
= $25.96
Ming pays $25.96 to the cab driver.
Help me fast please
Answer:
I think the answer is
Step-by-step explanation:
50 feet tall
for brainiest:):):):):):):):):):):)
Answer:
34 yd for the perimeter. I mean you just add the sides together... So 8+2+3+7+5+9 = 34.
Justin conducted a survey to find out people's favorite sport and recorded the results below. If Justin were to survey a total of 250 people, how many would you predict would name basketball?
Answer:
100 people
Step-by-step explanation:
In the attached image below we can see that the original survey was done on a total of 50 individuals (12 + 3 + 20 + 15 = 50). Out of these 50, 20 of them answered basketball.
20 / 50 = 0.40 ... multiply by 100 to get percentage
0.40 * 100 = 40%
We can see that this is 40% of the original survey sample population. If we use this same percentage, we can predict how many individuals out of 250 would answer basketball. We calculate this by multiplying 250 by 40% in decimal form, like so...
250 * 0.40 = 100
Finally, we can predict that 100 people would most likely answer basketball.
Help me please I will give Brainiest answer
Answer:
A= 1,0 B=0, -3 C=-6, 5 D= -3, -5
What's the domain and range of the exponential growth function? (please help asappp no spam please or links or anything like that!!! will give brainliest)
Domain: All real numbers; Range: All real numbers
Domain: x > –2; Range: y > –2
Domain: x < –2; Range: All real numbers
Domain: All real numbers; Range: y > –2
Answer:
Domain: All real numbers; Range: y > –2
Step-by-step explanation:
The function can take every x value, but does not reach values less than -2.
2. Find the length of AD if the length of AB is
14 units, the length of BC is 5 units, and the
length of CD is 8 units
Step-by-step explanation:
can you please show the picture too
The length of a rectangle is 3 m less than double the width, and the area of the rectangle is 44 m. Find the dimensions of the rectangle
Answer:
Length of Rectangle is 3 cm less than twice the width
Area is 44 m2 ; let W = width; 2W - 3 = Length
Arect = L times W
44 = W ( 2W - 3 )
44 = 2W2 - 3W
0 = 2W2 - 3W - 44
Factoring
0 = ( 2W - 11 )( W +4)
2W - 11 =0 ; W + 4 = 0
W = 11/2 W = -4 (width can not be a negative number)
Therefor: width is 11/2 and length is 8
please help!! area of parallelogram
A number s divided by 2
Answer:
s/2 is the equation
Step-by-step explanation:
48. A wire is securely attached from the top of
a 26-foot pole to a stake on the ground
14 feet from the base of the pole. Find the
length of the wire to the nearest tenth of a
foot.
A. 21.9 feet
B. 24.3 feet
C. 28.7 feet
D. 29.5 feet
Answer:
D. 29.5 feet
Step-by-step explanation:
1) First you use the pythagorean theorem a^2+b^2=c^2
2) 26^2+14^2=c^2 The wire is the hypotenuse.
3) Simplify the equation. 676+196=c
4) 872=c
5) Find the square root of 872 and round to the nearest tenth.
6) Your answer is 29.5 feet.
Hope this helps!
A serving of dried fruit is 1/5 cup. A bag contains
9/10
cup of dried fruit. Which
division expression can you use to find the number of servings in the bag:
1/5 divide 9/10 or 9/10 divide by 1/5 ? Explain your reasoning.
Answer:
9/10 divide by 1/5
4 1/2 cups
Step-by-step explanation:
Serving of dried fruits = 1/5 cups
Bag of dried fruits = 9/10 cups
Expression that can be used to find the number of servings in the bag = Bag of dried fruits / Serving of dried fruits
= 9/10 ÷ 1/5
= 9/10 × 5/1
= (9* 5) / (10 * 1)
= 45/10
= 4 5/10
= 4 1/2 cups
9/10 divide by 1/5
use exterior angle measures to solve for h
Answer:
h = 125
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
h = 63 + 62 = 125
Jordan is making a paddleball court. The court consists of a wall outlined by 40 m of paint. What dimensions will maximize the area of the paddleball court?
Answer:
L = 10m
And, W = 20m
Step-by-step explanation:
The computation is shown below:
Given that
2L + W = 40 m
Also we know that
Area = Length × width
= L × ( 40 - 2L)
= 40L - 2L^2
= -2(L^2 - 20L)
= -2(L^2 - 20L + 100 - 100)
= -2(L^2- 20L + 100) + 200
= -2(L - 10)^ + 200
So
L = 10m
And, W = 20m
The price of an item has been reduced by 5%. The original price was $20. what is the price of the item now?
Answer:
I think its 19
A rectangle has an area of 96 sq. ft. Find the width of the rectangle if the height is 8 feet?
I’m about to spam questions if you can answer them please do .
Answer:
x is 70
Step-by-step explanation:
hope this helps you
6x - 12 = 84
x = ?
find x
Answer:
x=16
Step-by-step explanation:
Answer:
6x-12=84 x=16 hope that helps
Step-by-step explanation:
6x-12=84x
+12 +12
6x=96
then you divide 6 by 96 and thats how you get 16
What is (0, 2) reflected over the x-axis
Answer:
(0,-2)
Step-by-step explanation:
plot the point and reflect it over the x axis
What’s the slope (rate of change) for the red?