Answer:
30
Step-by-step explanation:
2x+5x= 105
7x= 105
x= 105/7
x= 15
First part= 2x= 2(15)= 30
For each of the figures write an absolute value equation to satisfy the given solution set.
Pls don't show your work, just solve it.
Answer:
x > 1.5
Step-by-step explanation:
I am not sure what exactly the question asks, because there doesn't need to be an absolute value bracket, but from what we can see, x is greater than 1.5, so the equation would be
x > 1.5
Answer:
hi I need help in math please help me
Step-by-step explanation:
will you?
Brainliest if correct please help
Answer:
Its G
Step-by-step explanation:
Is(1, 6)a solution to the inequality y < 4x + 2?
Answer:
yes, (1,6) is a solution to the inequality y<4x+2.
Step-by-step explanation:
Looking at the equation we can see that the slope is 4 and the y intercept is 2.
Now we will use the slope that is comprised of the rise over the run which is \(\frac{rise}{run}\)
The slope is 4 this means that \(\frac{rise}{run}\) = \(\frac{4}{1}\) and this shows us that the rise is 4 and the run is 1, so starting at (0,2) you go up 4 and over 1 so our next coordinate would be (1,6)
so the answer is yes, (1,6) is a solution to the inequality y<4x+2.
Hope this helps!
can someone please answer this
Answer:
y = -0.6x + 24.6
Step-by-step explanation:
Solve dy/dx=1/3(sin x − xy^2), y(0)=5
The general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is: y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5
To solve this differential equation, we can use separation of variables.
First, we can rearrange the equation to get dy/dx on one side and the rest on the other side:
dy/dx = 1/3(sin x − xy^2)
dy/(sin x - xy^2) = dx/3
Now we can integrate both sides:
∫dy/(sin x - xy^2) = ∫dx/3
To integrate the left side, we can use substitution. Let u = xy^2, then du/dx = y^2 + 2xy(dy/dx). Substituting these expressions into the left side gives:
∫dy/(sin x - xy^2) = ∫du/(sin x - u)
= -1/2∫d(cos x - u/sin x)
= -1/2 ln|sin x - xy^2| + C1
For the right side, we simply integrate with respect to x:
∫dx/3 = x/3 + C2
Putting these together, we get:
-1/2 ln|sin x - xy^2| = x/3 + C
To solve for y, we can exponentiate both sides:
|sin x - xy^2|^-1/2 = e^(2C/3 - x/3)
|sin x - xy^2| = 1/e^(2C/3 - x/3)
Since the absolute value of sin x - xy^2 can be either positive or negative, we need to consider both cases.
Case 1: sin x - xy^2 > 0
In this case, we have:
sin x - xy^2 = 1/e^(2C/3 - x/3)
Solving for y, we get:
y = ±√[(sin x - 1/e^(2C/3 - x/3))/x]
Note that the initial condition y(0) = 5 only applies to the positive square root. We can use this condition to solve for C:
y(0) = √(sin 0 - 1/e^(2C/3)) = √(0 - 1/e^(2C/3)) = 5
Squaring both sides and solving for C, we get:
C = 3/2 ln(1/25)
Putting this value of C back into the expression for y, we get:
y = √[(sin x - e^(x/2)/25)/x]
Case 2: sin x - xy^2 < 0
In this case, we have:
- sin x + xy^2 = 1/e^(2C/3 - x/3)
Solving for y, we get:
y = ±√[(e^(2C/3 - x/3) - sin x)/x]
Again, using the initial condition y(0) = 5 and solving for C, we get:
C = 3/2 ln(1/25) + 2/3 ln(5)
Putting this value of C back into the expression for y, we get:
y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x]
So the general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is:
y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5
y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x], if sin x - xy^2 < 0 and y(0) = 5
Note that there is no solution for y when sin x - xy^2 = 0.
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Please help quarter ends tomorrow and I don’t know what to do I’m failing all my classes
Answer:
The answer is: x-y-10=0
Select the correct answer.
To help with staffing decisions, the manager of a large grocery store recorded the total number of customers waiting in line at registers each half
hour over a 12-hour period. The data she collected is shown in the graph.
X Customers in Line by Half Hour
40
36
32
28
.
24
Customers
20
16
12
8
4
11:00
a.m.
0
9:00
1:00 3:00
5:00 7:00 9:00
a.m
p.m. p.m. p.m.
p.m.
p.m.
Time of Day
The manager recognizes that the data approximates a transformation of the parent sine function, y = sin(s).
Which value is closest to the midline of the transformed function?
?
OA
14
OB
20
OC. 24
OD. 17
Answer:
24
Step-by-step explanation:
correct on plato
A triangle has side lengths of 14 cm and 7 cm. Which could be the value of the third side, 22 cm or 20 cm?
Answer:
20 cm
Step-by-step explanation:
When you add the lengths of any two sides in a triangle, it has to be greater than the length of the third side.
So...
14 + 7 > side 3
14 + 7 > 22 is false
14 + 7 > 20 is true
solve z=5/(6v)+1 for v
Answer:
ok what is this a study guide a test or something else?
Step-by-step explanation:
What is CPCT in maths?
Answer:
Step-by-step explanation:
CPCT is corresponding parts of Congruent Triangles. If two triangles are congruent, Their corresponding sides are equal. Their corresponding angles are equal.
your welcome!!
chapter 16 homework participation click to test a different score- 12 chapter 17 homework partthe manager of a computer software company wishes to study the number of hours per week senior executives by type of industry spend at their desktop computers. the manager selected a sample of five executives from each of the three idustries.
I have the business's manager. They are interested in researching the weekly hours. Senior executives liked the type of industry that used their computers, so they used hypotheses to sample five executives from three different industries.
Banking and retail insurance were involved, but those details are unimportant to our present calculations. The hypotheses are based on the understanding that the means are the same across industries. The alternative is that the treatments that the means are not equal, by which I mean the hours spent at their computer. I define treatment as the ability to simply state that the observed means are not equal. Yes. Now that those are out of the way, let's make a selection. Thus, the treatment and air have two and twelve degrees of freedom, respectively. And there's the 2.12 and 12.52 and 12.89.05 significance. The decision rule is that we reject the null hypothesis if our f statistic is bigger than this f critical value. Therefore, we do our research to determine the square sums. We purchase this adorable tiny anova table for us. You just square the discrepancies between the treatments' means and their differences. Additionally, the observations' differences Treatment, I repeated. But note what you notice. Um And then the air is included within each observation, and the total means square those and the that total difference. The difference between those squares is then used as the therapy. The ratio of the mean is what gives us the f critical value next 5.73, which is more than the crucial levels, is the result of square's treatment in the air. Therefore, we disregard the null hypothesis. Therefore, we can conclude that, at the.05 level of significance, the average weekly hours spent varied by industry.
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9, To find the height of a pole, a surveyor moves 140 feet away from the
base of the pole and then, with a transit 4 feet tall, measures the angle
of elevation to the top of the pole tO be 44°. To the nearest foot, whal
is the height of the pole?
Answer:
139.2
Step-by-step explanation:
factor the equation x2-2x-15=0
Answer:
(x + 3)(x - 5)
Step-by-step explanation:
Well to factor x^2-2x-15,
we need to find 2 numbers that multiply to get -15 and add to get -2.
3*-5 = -15
3x + -5x = -2x
x*x = x^2
Factored (x + 3)(x - 5)
Hope this helps :)
Answer:
(x - 5)(x + 3)
Step-by-step explanation:
Step 1- Find 2 number that multiplies to be -15, but also add to be -2
This would be -5 and 3
-5 * 3 = -15
-5 + 3 = -2
Step 2- write the equation
The equation can be written 2 different ways
1st way- (x - 5)(x + 3)
2nd way- (x + 3)(x - 5)
I need some help on this please
Answer:
1a
2d
3b
4c
Step-by-step explanation:
this is correct I promise u lol
in a fifth grade math class, most students add fractions with unlike denominators and must complete 25 problems. rita and sigmund are assigned the exact same kind of problems but are only required to complete 10. rita and sigmund have been provided:
After addition of the given unlike fractions 9/5 and 14/7 will be 133/35 after converting them to like fractions and then adding them.
As per the question statement, Rita and Sigmund are assigned to solve a problem involving the addition of two unlike fractions 9/5 and 14/7.
Our first step will be to convert the given pair of fractions to like fraction.
9/5 + 14/7 = 9*7/35 + 14*5/35
In the above step, we made the pair of fractions into like fraction by using the LCM of 5 and 7.
9/5 + 14/7 = 9*7/35 + 14*5/35
= (63+70)/35
= 133/35
Hence, after addition of the given unlike fractions 9/5 and 14/7 will be 133/35 after converting them to like fractions and then adding them.
Unlike fractions: The unlike fractions are those fractions that have distinct denominators. Here, the values of the fraction denominators vary.Like fractions: Based on the denominators, there are two basic sorts of fractions: like fractions and unlike fractions. Like fractions are those where two or more fractions have the same denominator.To learn more about unlike fractions & like fractions, click on the link given below:
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3
Select the correct answer from the drop-down menu.
Triangle ABC has a perimeter of 40 inches. What is AC?
A
(x+1) in
AC =
18
9
10
27
C
✓in
2x in
(x + 3) in
B
Reset
Next
The length of AC cannot be determined based on the information provided.
The confusion earlier.
Given the information that Triangle ABC has a perimeter of 40 inches, we can proceed to find the length of AC.
Let's assume that AC has a length of x inches.
Since the perimeter of a triangle is the sum of the lengths of its sides, we can set up an equation:
AC + AB + BC = 40
Substituting the values in the equation, we have:
x + AB + BC = 40
Without any additional information or specific lengths for AB and BC, it is not possible to determine the exact value of x or AC.
The lengths of AB and BC could vary, resulting in different values for AC.
the prior haziness.
We can go on to find the length of AC now that we know Triangle ABC has a perimeter of 40 inches.
Assume for the moment that AC is x inches long.
We may create the equation AC + AB + BC = 40 since the perimeter of a triangle is equal to the sum of the lengths of its sides.
With the variables in the equation substituted, we get x + AB + BC = 40.
The exact value of x or AC cannot be calculated in the absence of any more details or precise lengths for AB and BC.
various values for AC might come from various AB and BC lengths.
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you just built a large pool and you have to figure out how much it will cost to fill it with water. the pool is 10 ft wide. if the water company charges $0.02 per gallon, how much will it cost to fill the pool?
As per unitary method, the amount it will cost to fill the pool is $2.68
The Unitary Method is a mathematical concept which encourages students to use one single rule or principle to solve a problem. It can be used to solve a variety of mathematical problems in algebra, geometry, and other areas.
In this case, the pool is 10 ft wide. To calculate the capacity of a pool with a rectangular shape, you need to multiply its width by its length and then multiply that result by its depth.
If we assume that the length and depth of the pool are both equal to 10 ft, then the capacity of the pool can be calculated as follows:
=> 10 ft x 10 ft x 10 ft = 1,000 cubic feet.
To convert the capacity to gallons, you need to divide
=> 1,000 / 7.48 = 133.89
gallons of water required to fill the pool.
Finally, to calculate the cost of filling the pool, you just need to multiply the number of gallons by the cost per gallon of water ($0.02).
=> 133.89 x 0.02 = 2.68
This gives us a total cost of $2.68 to fill the pool with water.
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two ladders, one that is 6 6 feet long and one that is 9 9 feet long, are leaning up against a building. both ladders are leaning so that the angle they make with the ground is the same. the shorter ladder touches the wall at a point that is 5 5 feet 9 9 inches above the ground. how much higher above the ground does the second ladder touch the wall above the shorter ladder?
The second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.
Let's denote the height at which the second ladder touches the wall as h. We can set up a proportion based on the similar right triangles formed by the ladders and the building:
(6 6 feet) / (h) = (9 9 feet) / (5 5 feet 9 9 inches + h)
To solve for h, we can cross-multiply and solve the resulting equation:
(6 6 feet) * (5 5 feet 9 9 inches + h) = (9 9 feet) * (h)
Converting the measurements to inches:
(66 inches) * (66 inches + h) = (99 inches) * (h)
Expanding and rearranging the equation:
4356 + 66h = 99h
33h = 4356
Solving for h:
h = 4356 / 33 = 132 inches
Converting back to feet and inches:
h ≈ 11 feet
Therefore, the second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.
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f(x)=3x-2 for D={2,3,4}
Evaluate 7y - 5x^2 when x =2 and y=3
Answer:
1
Step-by-step explanation:
7x3=21
2x2=4
4x5=20
21-20=1
A coffee table is on sale for 20% off the original price of $115.
If there is 7.5% sales tax, what is the final price of the coffee table?
Answer:
The answer would be around $98.90
HELP ASAP WILL GIVE BRAINLIEST
Answer:
right triangles only
Step-by-step explanation:
Try it now. Enter the interval equivalent to 27
The correct answer for the interval equivalent to 27 is [-7, 13].
To find the interval equivalent to 27, we need to determine the range of values for r and t that satisfy the given conditions.
The inequality we have is: |2t - 4r - 6| ≤ 20
Let's consider two cases:
Case 1: (2t - 4r - 6) ≥ 0
Simplifying the inequality, we have: 2t - 4r - 6 ≤ 20
Adding 6 to both sides: 2t - 4r ≤ 26
Dividing by 2: t - 2r ≤ 13
Case 2: (2t - 4r - 6) < 0
Simplifying the inequality, we have: -(2t - 4r - 6) ≤ 20
Expanding the inequality: -2t + 4r + 6 ≤ 20
Subtracting 6 from both sides: -2t + 4r ≤ 14
Dividing by -2 (and reversing the inequality): t - 2r ≥ -7
Now we have the following system of inequalities:
t - 2r ≤ 13
t - 2r ≥ -7
To find the region of overlap, we can graph these two inequalities and determine the common interval.
Plotting the lines t - 2r = 13 and t - 2r = -7, we find that they intersect at the point (3, -1). This point represents the lower limit of the interval.
The upper limit of the interval can be found by substituting r = 0 into the inequalities:
t ≤ 13 (from t - 2r ≤ 13)
t ≥ -7 (from t - 2r ≥ -7)
Therefore, the interval equivalent to 27 is [-7, 13].
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How exactly do you do this I understand this a little more but need a little push :(
Answer:
(2, 12)
Step-by-step explanation:
You do it by adding
2 and 0.
4 and 8.
Which of the following best describes ethics?
it is a set of thoughts that are made about kinds of individuals
or their manners of conducting activities
it is a set of values that define r
Answer:
the second
Step-by-step explanation:
refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice
please help asap! i dont understand this
Answer:
y = -2x + 11
Step-by-step explanation:
When two lines are parallel, their gradients are the same. So the gradient of the line parallel to this equation will be -2 as well.
Now we substitute values from this point to find the rest of the equation :
y = -2x + c
3 = -2(4) + c
3 = -8 + c
c = 11
So the equation of the line parallel will be y = -2x + 11
Hope this helped and have a good day
The sum of four times Juanita’s age and 16 is 100. Juanita is j years old. How old is Juanita?
Answer:
Step-by-step explanation:
Juanita is 36 years old.
100 - 16 x 4
36
Hope this helps!
alguien me ayuda??
lo necesito hoy :ccccc ☕
Answer:
no se entiende la imagen
Answer:
La A
Step-by-step explanation:
Mentira no se ve nada solo escoge la D de Dios
I need help with these questions, please I only have one hour left to finish please
Answer:
Step-by-step explanation:
1.)
I solved for the vertex. Because the leading coefficient was negative, I knew the graph had to be concave down. This means that the vertex will give me the maximum value.
2.)
I think that graphing is a good way to visualize the graph. When you graph the line, it's easy to see where the vertex as well as the x and y intercept lies.
3.)
The shape they take depends on the leading coefficient. If it's negative, then the graph will be concave down and the vertex will be the maximum value of the graph. If the leading coefficient is positive, then the graph will be concave up and the vertex will be the minimum value of the line.
Find the surface area of the cylinder. Round to the nearest hundredth.
Answer:
The surface area of the cylinder is 276.32m²
Step-by-step explanation:
To solve this problem we have to calculate the circle area and the lateral area
To calculate the area of the circle we use the following formula
a = area
r = radius = 2m
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (2m)²
a = 3.14 * 4m²
a = 12.56m²
The area of the circle is 12.56m²
To calculate the lateral area of the cylinder we use the following formula
a = area =
h = heighti = 20m
r = radius = 2m
π = 3.14
a = 2 * π * r * h
we replace with the known values
a = 2 * 3.14 * 2m * 20m
a = 6.28 * 40m²
a = 251.2m²
The lateral area of the cylinder is 251.2m²
Now we add the lateral area of the cylinder with 2 times the area of the circle and obtain the area of the cylinder
251.2m² + (2 * 12.56m²) = 276.32m²
The surface area of the cylinder is 276.32m²