the answer is 5 i think lol
Answer:
1. 8
2. 4
3. 5
4. 8/125
5. 4/3
6. 6
7. 8
8. 2
(image is included) ooo
The number of miles (m) travelled as represented in the equation 2[(4m * 3.5) / 400] = 171.5 is 2450 miles
EquationsEquations are mathematical statements containing two algebraic expressions on both sides of an equal to sign. An equation can be expressed as the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity. If equality does not exist between the expression, it means it is not an equation. It will be considered as an expression.
In the equation given;
2[(4m * 3.5) / 400] = 171.5
We can find the value of m by applying changing the subject of formula
2[(4m * 3.5) / 400] = 171.5
28m / 400 = 171.5
28m = 400 * 171.5
28m = 68600
m = 68600 / 28
m = 2450
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What is the HCF of 32 and 21
Answer:
i think is 1
Step-by-step explanation:
Winston bought an encyclopedia priced at $42. Shipping and handling cost anadditional 30% of the price. What was the total cost of the encyclopedia, in cluding shipping and handling?
Answer:
42.3
Sorry I haven't been answering your questions I'm just behind on homework.
An article is sold for Rs.150 at a gain. Had it been sold for Rs.135 there would have been a loss equal to 50% of the original gain. Find the cost price of the article.
The cost price of the article, which is sold for Rs. 150 at a gain but if sold for Rs. 135 would have resulted in a loss equal to 50% of the original gain, is Rs. 127.50.
How the cost of the article is determined:The cost price is the difference between the selling price and the profit or gain.
The difference is determined by subtraction.
Selling price of the article = Rs. 150
Loss if sold at Rs. 135 = 50% of the original gain
Original gain = Rs. 15 (Rs. 150 - Rs. 135)
50% of the original gain = Rs. 7.50 (Rs. 15 x 50%)
Cost price of the article = Rs. 127.50 (Rs. 135 - Rs. 7.50)
Thus, the cost price is Rs. 127.50.
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4 liters of natural oil for every 3 liters of synthetic oil. in order to make 567 liters of Petrolyn oil how many liters of natural oil are needed?
In order to calculate the amount of natural oil needed, let's write the following rule of three:
\(\begin{gathered} \text{natural oil}\to\text{ synthetic oil}\to\text{petrolyn oil} \\ 4\text{ liters}\to3\text{ liters}\to7\text{ liters} \\ x\text{ liters}\to y\text{ liters}\to567\text{ liters} \end{gathered}\)Using the proportion of natural oil to petrolyn oil, we have:
\(\frac{4}{x}=\frac{7}{567}\)Now, solving for x, we have:
\(\begin{gathered} 4\cdot567=x\cdot7 \\ x=\frac{4\cdot567}{7} \\ x=324\text{ liters} \end{gathered}\)Therefore 324 liters of natural oil is needed.
What is the slope formula to (-13,9 ) and (20, 9)?
The slope formula is
\(m=\frac{y_2-y_1}{x_2-x_1}\)in this case, we have
(-13,9)=(x1,y1)
(20,9)=(x2,y2)
then we can substitute the values
\(m=\frac{9-9}{20+13}=\frac{0}{33}=0\)m=0
A region R in the first quadrant of the xy-plane is bounded by the curves y = x², y = 2 - x and the x-axis. Find the value of the following:
The two curves meet in the first quadrant when
\(x^2 = 2-x \implies x^2 + x - 2 = (x + 2) (x - 1) = 0 \implies x=1\)
Then the integral in question is
\(\displaystyle \iint_R x \, dA = \int_0^1 \int_{x^2}^{2-x} x \, dy \, dx \\\\ ~~~~~~~~ = \int_0^1 x (2-x-x^2) \, dx \\\\ ~~~~~~~~ = \int_0^1 (2x - x^2 - x^3) \, dx = 1 - \frac13 - \frac14 = \boxed{\frac5{12}}\)
Need ANSWER ASAP
Consider the following transformed function
y = −2 Sin [2( − 45°)] + 1
a) Graph the five key points of Parent function on the provided grid.
b) State the following for the transformed function
Amplitude=
period=
Horizontal Phase shift =
Equation of axis=
c) Graph at least two cycles of the transformed function by transforming the key points of the parent function. (Don’t forget to label the x-axis and y -axis)
Answer:
See explanation below.
Step-by-step explanation:
Given transformed function:
\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)
Part (a)The parent function of the given function is: y = sin(x)
The five key points for graphing the parent function are:
3 x-intercepts → (0°, 0) (180°, 0) (360°, 0)maximum point → (90°, 1)minimum point → (270°, -1)(See attachment 1)
Part (b)Standard form of a sine function:
\(\text{f}(x)=\text{A} \sin\left[\text{B}(x+\text{C})\right]+\text{D}\)
where:
A = amplitude (height from the mid-line to the peak)2π/B = period (horizontal distance between consecutive peaks)C = phase shift (horizontal shift - positive is to the left)D = vertical shift (axis of symmetry: y = D)Therefore, for the given transformed function:
\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)
Amplitude = -2Period = 2π/2 = πPhase shift = 45° to the rightEquation of axis of symmetry: y = 1Part (c)See attachment 2.
Please see my question in the attachment, thanks!
The limit of the function As x → - ∞, f(x) → 2.
What is the limit of a function?The limit of a function is the value the function tends to as the independent variable tends to a given value.
Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows
Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.
So, As x → - ∞, f(x) → 2.
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Please help I have no idea how to do this ❗️❗️❗️❗️❗️
The height of the air ballon at 'm' minutes is expressed in the function and the value of h(3)=1600, h(9)=2800,h(11)=3200
We have given a function h in terms of m. Now we have to explain the contextual meaning of each and every expression it contains
1.) h = It is height at which ballon is cruising above from the ground level.
2.) m = It denotes the instance of minute at which we are talking about
3.) h(m) = The height as the function of minute, means the height of the ballon in changing with respect to the minute
4.) 1000 = It is the height at which ballon was cruising earlier and then started ascending
5.)200 = 200 feet the distance covered in a minute while ascending above
6.) 200m = distance ascended for 'm ' minutes
7.) 1000+200m = The total height that balloon covered after ascending for m minutes.
Now,
height at 3 minute = h(3) = 1000+200(3)=1000+600=1600
height at 9 minute = h(9) = 1000+200(9)=1000+1800=2800
height at x minute = h(x) = 1000+200(x)= 3200
1000 + 200x = 3200
200x = 2200
x = 11
Therefore, h(3) = 1600 , h(9)= 2800,h(11)=3200 are the different values of height 'h' at different 'm' minutes.
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round to the nearest ten 7096.88
Given the Isosceles Trapezoid, find the measure of the missing? angle.
Answer:
s=65
Step-by-step explanation:
T to S is 180
180-115=65
PLEASE HELP!!!!!!!!
I WILL GIVE YOU BRAINLIST IF CORRECT ANSWER!!!
Choose the two graphs that preserve congruence.
An object falls 16t2 feet in t seconds. You drop a rock from a bridge that is 75 feet above the water. Will the rock hit the water in 2 seconds? Explain.
In 2 seconds, the rock has fallen ?
feet.
Answer:
No
Step-by-step explanation:
in 2 seconds, it falls 16*2^2 = 64 feet < 75 feet
so it will be 75 - 64 = 11 feet above the water.
NO LINKS!! URGENT HELP PLEASE PLEASE!!!
Answer:
\(\textsf{12)} \quad \text{a.}\;\;m \angle 1 = 107^{\circ}, \quad \text{b.}\;\;m \angle 2 = 107^{\circ}, \quad \text{c.}\;\;m \angle 3 = 73^{\circ}\)
\(\textsf{13)} \quad EC = 6\)
\(\textf{14)}\quad \text{a.}\;\;x = 33, \quad \text{b.}\;\; x = 8\)
Step-by-step explanation:
Question 12As the base angles of an isosceles trapezoid are congruent, the measures of angles E and J are the same. Therefore:
\(m\angle 3 = 73^{\circ}\)
The opposite angles of an isosceles trapezoid sum to 180°. Therefore:
\(\implies m\angle 1 + m\angle 3 = 180^{\circ}\)
\(\implies m\angle 1 + 73^{\circ} = 180^{\circ}\)
\(\implies m\angle 1 = 107^{\circ}\)
Since the base angles of an isosceles trapezoid are congruent, the measures of angles A and N are the same. Therefore:
\(m\angle 2 = 107^{\circ}\)
\(\hrulefill\)
Question 13The diagonals of isosceles trapezoid ABCD are AC and BD.
Point E is the point of intersection of the diagonals. Therefore:
\(BE + ED = BD\)
\(AE + EC = AC\)
As the diagonals of an isosceles trapezoid are the same length, BD = AC. Therefore:
\(AE + EC = BD\)
Given BD = 20 and AE = 14:
\(\implies AE + EC = BD\)
\(\implies 14 + EC = 20\)
\(\implies 14 + EC - 14 = 20 - 14\)
\(\implies EC = 6\)
\(\hrulefill\)
Question 14The midsegment of a trapezoid is a line segment that connects the midpoints of the two non-parallel sides (legs) of the trapezoid.
The formula for the midsegment of a trapezoid is:
\(\boxed{\begin{minipage}{6 cm}\underline{Midsegment of a trapezoid}\\\\$M=\dfrac{1}{2}(a+b)$\\\\where:\\ \phantom{ww}$\bullet$ $M$ is the midsegment.\\ \phantom{ww}$\bullet$ $a$ and $b$ are the parallel sides.\\\end{minipage}}\)
a) From inspection of the given trapezoid:
M = xa = 18b = 48Substitute these values into the midsegment formula and solve for x:
\(x=\dfrac{1}{2}(18+48)\)
\(x=\dfrac{1}{2}(66)\)
\(x=33\)
Therefore, the value of x is 33.
b) From inspection of the given trapezoid:
M = 15a = 22b = xSubstitute these values into the midsegment formula and solve for x:
\(15=\dfrac{1}{2}(22+x)\)
\(30=22+x\)
\(x=8\)
Therefore, the value of x is 8.
Calculate the perimeter of the figure shown above:
a. 25 ft
C. 10 ft
b. 50 ft
d. 60 ft
Answer:
50 ft
Step-by-step explanation:
Every side is 5ft, add up all the sides.
PLEASE HELP FAST! ITS EASY! WILL GIVE BRAINLIEST!
Type the correct answer in each box. Use numerals instead of words. A race car is driven by a professional driver at 99 m/h. What is this speed in km/h and km/min?
1 mile = 1.61 kilometers
1 hour = 60 minutes
Round your answers to the nearest tenth. The speed is equivalent to
( ) km/h,
or ( ) km/min
Answer:
160 kilometers per hour
9560 kilometers per minute
Answer:
Speed of the car is equivalent to 159.39 KM/hour or 2.6565 Km/min.
-Step by Step-:
-The speed of the car is given as 99 mi/hour.
Now, WE know that 1 Mile = 1.61 KM
Hence, in order to calculate the speed of the car in KM/hour we will multiply the speed of the car in miles with 1.61.
⇒The speed of the car in KM/hour = 99 × 1.61 KM = 159.39 KM/hour
Also, 1 hour = 60 minutes
⇒ Speed of the car in KM/min = (159.39) ÷ 60 = 2.6565 K/min
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal place.)
B 128°, a 86, c = 37
The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.
To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:
Area = (1/2) * a * b * sin(C),
where a and b are the lengths of the two sides adjacent to the given angle C.
In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:
c² = a² + b² - 2ab * cos(C),
where C is the angle opposite side c. Rearranging the formula, we have:
b² = a² + c² - 2ac * cos(C),
b² = 86² + 37² - 2 * 86 * 37 * cos(128°).
By substituting the given values and calculating, we find b ≈ 63.8.
Now, we can calculate the area using the formula:
Area = (1/2) * a * b * sin(C),
Area = (1/2) * 86 * 63.8 * sin(128°).
By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.
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simplify 4 + y + (-2)
Step-by-step explanation:
4 + y + (-2)
= 4 + y - 2
= 4 - 2 + y
= 2 + y
May someone help me please
Answer:
x=34
Step-by-step explanation:
Use pythaogrean therom to find the answer. a^2+b^2=c^2 With that in mind, the answer 16^2+30^2=1156. To get the exact answer, you'll have to square root the 1156 to get 34. If you want to check you answer, take the 34 and square it then subtract it by one of the numbers it gives you.
What is the answer to the question??
Answer:you need to show the diagram in order for me to
Step-by-step explanation:
9. division fractions problems
You have 3 3/5 pizzas. You and yours 3 friends eat while watvhing a movie. If you each ate the same amount how much of the pizza does each person eat?
Answer:
9/10 of a pizza each
Step-by-step explanation:
3 whole pizzas is 30/10 and 3/5 made into /10 is 6/10 and if add them you will get 36/10 and dived that in 4 you will get 9/10
Isabel will only consume chocolate bars and glasses of milk in a ratio of 3-to-1, meaning whenever she has 3 chocolate bars, she also has 1 glass of milk. 2nd attempt Isabel currently has 6 chocolate bars and 2 glasses of milk. Determine whether the bundles shown below would be equally preferred, more preferred, or less preferred than what Isabel currently has. Items (5 items) (Drag and drop into the appropriate area below) More Preferred Less Preferred Equally Preferred (9 chocolate bars, 1 glass of milk) (6 chocolate bars, 3 glasses of milk) (9 chocolate bars, 3 glasses of milk) (3 chocolate bars, 2 glasses of milk) (9 chocolate bars, 2 glasses of milk)
The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).
The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.
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Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
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From the set {1, 4, 6}, use substitution to determine which value of x makes the equation true. 10 x + 8 = 48
If a room has the following dimensions: a width of 16ft, a length of 13ft, and a height of 16ft, and a ball has a diameter of 16 inches. How many balls fit inside the room?
Answer:
https://www.sensorsone.com/length-width-and-height-to-volume-calculator/
Step-by-step explanation:
What is the density of Olivine? Mass = 20g; Volume = 6.15 cubic cm.
Round to TWO decimal places
Find the measure of angle x in the figure below:
BRAINLIEST PLEASE HELP SHOW WORK AN WILL MAKE BRAINLY
Answer:
See attached photo!
Step-by-step explanation:
What is 40% of 160?
OA 20
OB. 40
OC. 32
OD. 64
OE 75
The correct answer would be D. 64
The 40 percentage of 160 is 64, the correct option is D.
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25
We are given that;
Total value= 160
Percentage= 40%
Now,
To find 40% of 160,
=40%=0.4
We can multiply 0.4 by 160.
=0.4*160
=64
Therefore, by the given percentage the answer will be 64.
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