Answer:
19e-7
Step-by-step explanation:
I am not sure if you meant to put -7 but I will assume that is it.
Remember combine like terms 25e substract -6e you get 19e and -7 stays the same.
a vertical pole stands on an horizontal ground. a student position due west of the pole observes that the angle of elevation of the top of the pole is 40 degree. when the the students moves 10 m due South. he observes that the angle of elevation of the top of the pole is 35 degrees. what is the height of the pole.
Step-by-step explanation:
|S450(2)
(3)
(4)1m3+1AB is a vertical pole with B at the ground level
and A at the top. A man finds that the angle of
elevation of the point A from a certain point C600.He moves away from the pole along the lineCD- 7m
.From D the angle of elevation of the point Aon the ground isBC to a point D such that.Then the height of the pole is (1)7/3
7/3
7/3
7/3V33+1m
i hope this help
Please answer this correctly
Answer:
1/3
Step-by-step explanation:
First, note that the spinner is divided into three, equal sections.
When need to find P(5 or odd) or, in other words, the probability of landing on either 5 or another odd number. The 3 numbers in the spinner are 4, 5, and 6. Only 5 is odd and the one we want.
Thus, the probability of landing on 5 or an odd number (in this case 5) is 1 out of 3, or 1/3 or around 33%.
The answer is 1/3
(9-6)+12 what’s is the answer?
Answer:
15
Step-by-step explanation:
Answer: 15
Step-by-step explanation: (9-6) + 12
(3) + 12
15
If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).
Answer:
[tex] \boxed{\sf x - 7} [/tex]
Given:
f(x) = - 3x - 5
g(x) = 4x - 2
To Find:
(f + g)(x)
Step-by-step explanation:
[tex] \sf (f + g)(x) = f(x) + g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 3x - 5 + 4x - 2 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4x - 3x - 5 - 2 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = x - 5 - 2 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = x - 7[/tex]
Please answer this correctly
Find the value of the trigonometric and simplify the fraction if needed. Thanks!
Answer:
Tan<C=2.4
Step-by-step explanation:
Opp=36
Adj=15
Tan<C=opp/adj
Tan<C=36/15
Tan<C=2.4
Hope this helps :) ❤
Cathy can text message about 54 words per minute. If she types at this rate for 30 minutes, about how many words will she type?
Answer: 1620
Step-by-step explanation:
Answer:
1,620 words
Step-by-step explanation:
If you know that she can text message about 54 wpm and that she types at this rate of 30 minutes, you would simply multiply 54 by 30.
Hope that helps!
Don't forget to rate and thanks!
Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair s=3/4 t+ 2
Answer:
b
Step-by-step explanation:
The slope is 3/4 and the y-intercept is y(0,2)
The slope is what we multiply by the variable ( here t) and the y-intercept is the number we add
What is the first step when solving the equation below for x?
4x – 0.2 =
1.9
Add 1.9 to both sides of the equation.
Divide each side of the equation by 4.
Add 0.2 to both sides of the equation.
o
Subtract 0.2 from both sides of the equation.
Answer:
The answer is option 3.
Step-by-step explanation:
In order to solve the equation, you have to add 0.2 to both sides to eliminate -0.2 on the left side and make x the subject :
[tex]4x - 0.2 = 1.9[/tex]
[tex]4x - 0.2 + 0.2 = 1.9 + 0.2[/tex]
[tex]4x = 2.1[/tex]
Answer:
Add 0.2 to both sides of the equation
Step-by-step explanation:
4x-0.2=1.9
+0.2 + 0.2
4x=2.1
:4 :4
x=2.1/4
The price of the petrol is increased by 2/3. Originally the price was £1.02 per litre What is the cost of the petrol now? £ ? per litre
Answer:
£1.53 per litre
Step-by-step explanation:
original = 1.02
if it is increased by 2/3 then we do 1.02 / (2/3) =£1.53 per litre
Hawkins Manufacturing Company produces connecting rods for 4- and 6-cylinder auto-mobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,000, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $15 for each 4-cylinder connecting rod and $18 for each 6-cylinder connecting rod. There is no production on weekends, so on Friday the line is diassembled and cleaned. On Monday, the line must be set up to run whichever product will be produced that week. Once the line has been set up, the weekly production capacities are 6000 6-cylinder connecting rods and 8000 4-cylinder connecting rods. Letx4 5 the number of 4-cylinder connecting rods produced next week x6 5 the number of 6-cylinder connecting rods produced next week s4 5 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise s6 5 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise Using the decision variables x4 and s4, write a constraint that sets next week
Complete question:
Hawkins Manufacturing Company produces connecting rods for 4- and 6-cylinder auto-mobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,000, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $15 for each 4-cylinder connecting rod and $18 for each 6-cylinder connecting rod. There is no production on weekends, so on Friday the line is diassembled and cleaned. On Monday, the line must be set up to run whichever product will be produced that week. Once the line has been set up, the weekly production capacities are 6000 6-cylinder connecting rods and 8000 4-cylinder connecting rods. Letx4 5 the number of 4-cylinder connecting rods produced next week x6 5 the number of 6-cylinder connecting rods produced next week s4 5 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise s6 5 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise
a) Using the decision variables x4 and s4, write a constraint that sets next week's maximum production of the 4-cylinder connecting rods to either 0 to 8000 units
b) Using the decision variables x6 and s6, write a constraint that sets next week's maximum production of the 4-cylinder connecting rods to either 0 to 6000 units
c) Write a constraint that requires that production be setup for exactly one of the two rods
d) Write the cost function to be minimized
Answer:
a) x₄ ≤ 8000s₄
b) x₆ ≤ 8000s₆
c) s₄ + s₆ = 1
d) MIN 15x₄ + 18x₆ + 2000s₄ + 3500s₆
Explanation:
a) The constraint that sets next week's maximum production of the 4-cylinder connecting rods to either 0 to 8000 units, is written as:
x₄ ≤ 8000s₄
b) The constraint that sets next week's maximum production of the 4-cylinder connecting rods to either 0 to 6000 units is written as:
x₆ ≤ 8000s₆
c) The constraint that requires that production be setup for exactly one of the two rods:
Since we have:
x₄ ≤ 8000s₄ ; x₆ ≤ 8000s₆
The constraint that requires that production be setup for exactly one of the two rods will be:
s₄ + s₆ = 1
d) Write the cost function to be minimized:
Since we are to find the cost function to be minimized, we take the function below:
MIN 15x₄ + 18x₆ + 2000s₄ + 3500s₆
What numeral is in the 100th decimal place in the decimal representation of $\frac{6}{7}$?
Answer:
5
Step-by-step explanation:
[tex]\frac{6}{7}=0.857142857142857142857142...[/tex]
Or 0.857142 with "857142" recurring.
The hundredths place is the second decimal place of a number. In this case, it would be 5.
Consider Mary's experiment regarding whether learning of 6th graders on a math lesson is affected by background noise level. Mary has collected her data. What is the null hypothesis for her study? What is the alternative hypothesis for her study? What are the assumptions that must be met about her data before she can correctly use an independent t-test to test the hypotheses? Why? How would she see if her data met these assumptions? How much room does she have to violate any of these assumptions and still get accurate results from the t-test? Explain and support your answers
Answer:
Check the answers to the questions below
Step-by-step explanation:
a) If [tex]\mu_1[/tex] is the average learning rate of the 6th graders without background noise level and [tex]\mu_2[/tex] is the average learning rate of the 6th graders with background noise level
The Null Hypothesis is that the learning rate of the 6th graders is not affected by the background noise level.
Null hypothesis, [tex]H_0: \mu_1 = \mu_2[/tex]
b) The Alternative Hypothesis is that the learning rate of the 6th graders is affected by the background noise level.
Alternative hypothesis, [tex]H_a: \mu_1 \neq \mu_2[/tex]
c) Assumptions that must be met about the data before she can correctly use independent t-test
There must be random selection of the 6th graders
That the two groups are normally similar in their learning abilities
The division of students into the two groups should be at random
d) She has to make these assumptions to prevent bias and inaccuracy of results. If these assumptions are not made, the outcome of the experiment may not reflect the true effect of background noise on the learning of the 6th graders.
She can still get accurate results if she include some bias in the selection to prove a particular result.
Please help me answer my question
Answer:
All angles in any quadrilateral adds up to 360°
Step-by-step explanation:
We can prove this by using 180(n - 2)
n = 4 for a quadrilateral
180(4 - 2)
180(2)
360°
So, 360 - (125 + 67 + 80) = 88°
Answer:
See below
Step-by-step explanation:
The interior angles of a quadrilateral (having 4 sides) add up to 360 degrees.
=> So, to find x, we'll simply subtract the rest if the angles from 360
So,
=> x = 360-125-67-80
=> x = 88 degrees
What is the value of x to the power of 3 times y to the power of 4 when x =3 and y =0 what answer and coorect
Answer:
0
Step-by-step explanation:
The value of x to the power of 3 times y to the power of 4:
x³× y⁴when x =3 and y =0, we get below:
x³× y⁴= 3³ × 0⁴ = 0The result is zero because:
1. Any power of zero makes it zero
2. The product of numbers equal to zero if one of multiples is zero
Which list orders the sides of triangle abc from longest to shortest length?
Answer:
B
Step-by-step explanation:
the hotpotuse is always the biggest
the rest is pretty easy to determine
The orders that the sides of the triangle ABC from longest to shortest length will be AB, BC, and AC.
What is a right-angled triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry. A right-angled triangle is a triangle having one of its angles with a measure of 90°. The slanted side of that triangle is called Hypotenuse and it is the longest side in that triangle.
If one of the angle is of 90° then the triangle is right angled triangle.
We can see that the Hypotenuse is always the biggest side among all the sides.
Then the perpendicular side BC is the second biggest and then the base of the triangle.
Therefore, the order must be AB > BC > AC.
The orders that the sides of the triangle ABC from longest to shortest length will be AB, BC, and AC.
Learn more about right angled triangle here:
https://brainly.com/question/27190025
#SPJ5
Describe el tipo de transformación de la siguiente figura y sus coordenadas.
Answer:
triangle pythagora
Step-by-step explanation:
the pythagora is made by someone special names albert and you ahve to amke three sides a b and c
can someone tell me reason 4 and 6
This is because we have two pairs of congruent sides (AB = CD and AC = CA) with a pair of congruent angles between them. Those angles are the alternate interior angles BAC and DCA
------------------
Reason 6 = Alternate interior angles theorem converseSimilar to reason 2, but the converse means we go in reverse more or less. The original theorem states that if we have parallel lines, then the alternate interior angles are congruent. This time we know the alternate interior angles are congruent, so we conclude the lines are parallel.
Answer:
see below
Step-by-step explanation:
Reason 4 is SAS AB = CD, BAC = DCA and AC = CA so we have Two sides and the included angle
Reason 6 is if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.
in triangle ABC shown below, Segment DE is parallel to Segment AC:
Answer:
Selected option is correct
Step-by-step explanation:
Triangle BDE and BAC are similar because of the two pairs of equal angles (AA)
1. angle B
2. angle BDE = angle BAC
Need Assistance
*Please Show Work*
Answer:
-3x-11
Step-by-step explanation:
First deduct 7x from 4x 4x-7x=-3x
Next proceed the expression -8-3=-11
So the result is -3x-11
Choose the correct simplification of the expression (7x - 3)
(4x2 – 3x - 6). (1 point)
Answer:
Step-by-step explanation:
hello,
I assume that you want to develop the expression
[tex](7x-3)(4x^2-3x-6)=7x(4x^2-3x-6)-3(4x^2-3x-6)\\= 28x^3-21x^2-42x-12x^2+9x+18\\\\=28x^3-33x^2-33x+18[/tex]
hope this helps
what is the value of X
Answer: x=48°
Step-by-step explanation:
The 3 angles of the triangle add up to 180°. We can set the angles to 180 and solve.
47+85+x=180 [combine like terms]
132+x=180 [subtract both sides by 132]
x=48
Answer:
x=48
Step-by-step explanation:
Total sum of angles in a triangle =180
47+85+x=180
132+x=180
x=180-132
x=48
What is the angle of rotation from figure A to figure A’? Assume that the center of rotation is the origin. A. 180° clockwise B. 90° counterclockwise C. 180° counterclockwise D. 270° counterclockwise
Answer:
B.90°counterclockwise
Answer: B
Step-by-step explanation:
A. If you rotate a figure in the first quadrant 180 degrees clockwise it will end up in the third quadrant so the answer can't be A.
B. If you rotate a figure in the first quadrant 90 degrees counterclockwise it will end up in the second quadrant because you will rotate it backwards and as you could see A prime is in the second quadrant.
C.If you rotate a figure in the first quadrant 180 counterclockwise it will end up in the third quadrant. SO the answer can't be it C.
D.If your rotate a figure in the first quadrant 270 counterclockwise it will end up in the fourth quadrant. So the answer can't be D.
I NEED HELP PLEASE THANKS!
Answer: A) 0.5
Step-by-step explanation:
The denominator should be in the form 1 + e sin θ
Currently the denominator is: 2 + 1 sin θ
Divide the denominator by 2 to get: 1 + 0.5 sin θ
Thus, e = 0.5
what is -14 squared + 5675843
Answer:
5676039
Step-by-step explanation:
-14² + 5675843
Solve for exponent.
196 + 56758
Add the numbers.
= 5676039
Which product will result in a sum or difference of cubes?
A (x + 7)(x2 – 7x + 14)
B (x + 8)(x2 + 8x + 64)
C (x – 9)(x2 + 9x + 81)
D (x – 10)(x2 – 10x + 100)
Answer:
C. (x - 9)(x^2 + 9x + 81).
Step-by-step explanation:
The cube identities are
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
Checking against the list the one that fits is the difference formula:
x^2 - 9^2 = (x - 9)(x^2 + 9x + 81).
a=1, b = 9, ab = 1 *9 = 9.
Please answer this correctly
Answer:
50% chance.
Step-by-step explanation:
There are 3 numbers that are either greater than 4 or less than 2. They are 1, 5, and 6. There is a 3/6 chance you roll one of them or 50% chance.
Hey there! :)
Answer:
P(greater than or less than 2) = 50%.
Step-by-step explanation:
Numbers greater than 4: 5, 6
Numbers less than 2: 1
Total of 3 numbers that fit the criteria. Therefore:
P(greater than 4 or less than 2) = # of numbers / total
P(greater than 4 or less than 2) = 3 / 6 = 1 / 2
Convert fraction to percent:
1/2 × 100 = 50%
A car is driving at 100 kilometers per hour. How far, in meters, does it travel in 3 seconds?
Answer:
The car travels 83 1/3 meters in 3 seconds.
Step-by-step explanation:
Speed of car = 100 KM/ hour
1 km= 1000m
1 hour = 3600 seconds
Lets find speed of car in Meters/second
speed of car in m/sec = 100*1000 m/3600 second
here we have taken 1000 for km and 3600 for hour
speed of car in m/sec = 100*1000 m/3600 second = 500/18 m/second
speed of car in m/sec = 250/9 m per sec
We know that
distance = speed*time
speed = 250/9 m per sec
time =3 second
distance = 250/9 * 3 meters = 250/3 meters = 83 1/3 meters.
Thus, car travels 83 1/3 meters in 3 seconds.
What is the product of (2p + 7)(3p2 + 4p – 3)?
6p3 + 29p2 – 34p + 21
6p3 + 29p2 – 22p + 21
6p3 + 29p2 + 22p – 21
6p3 + 29p2 + 34p – 21'
Answer: 6p^3+29p^2+22p-21
15 liters of water flow
through a water pipe
and enter a tank
within 4.5 minutes
How much time does
it take to pump 727.5
liters of water into a
water tank using 2
similar water pipes?
Answer:
Step-by-step explanation:
Since 15 liters of water flow through a water pipe and enter a tank within 4.5 minutes, the same amount of water would flow through a similar pipe at the same time. Therefore, if two similar water pipes are used, the volume of water that would flow into the tank in 4.5 minutes is 15 × 2 = 30 liters
Therefore, the time it will take to pump 727.5 liters of water into a water tank using 2 similar water pipes is
(727.5 × 4.5)/30 = 109.125 minutes