Answer:
C
Step-by-step explanation:
[tex]\textsf {Given :}[/tex]
[tex]\mathsf {x - 5 \leq -13}[/tex]
[tex]\textsf {Add 5 to each side of the inequality : }[/tex]
[tex]\mathsf {x - 5 + 5 \leq -13 + 5}[/tex]
[tex]\mathsf {x \leq -8}[/tex]
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8.
Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget
of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of
new-release and classic movies bought?
Answer:
16 new releases and 22 classic movies.
Combine like terms to simplify the expression:
-50 m+ 10-3 m+ (-13) =
[tex] - 50m + 10 - 3m + ( - 13) \\ - 50m + 10 - 3m - 13 \\ - 53m - 3[/tex]
Hope it helps
please give brainliest
please help asap 100 points
Answers:
Problem #1: Option C, 166 yards cubed
Problem #2: Option A, 10
Step-by-step solution:
The first problem may seem a lot more confusing that it really is and this actually happened to me when I looked at it. Just because the cylinder is slanted that actually doesn't change any of the volume that we would have if it was straight up with the same diameter and height.
Using what we know about cylinders, let us plug all the information inside of the formula to determine the volume of the cylinder. However, before doing that we need to determine the radius of the circle from the diameter that was given.
Divide the diameter by two to get the radius
[tex]Radius = \frac{Diameter}{2}[/tex][tex]Radius = \frac{5.2\ yd}{2}[/tex][tex]Radius = 2.6\ yd[/tex]Plug in the values
[tex]V_{cylinder} = (\pi * radius^2)*height[/tex][tex]V_{cylinder} = (\pi * (2.6\ yd)^2)*7.8\ yd[/tex]Simplify the exponent
[tex]V_{cylinder} = (\pi * (2.6)^2 *(yd)^2)*7.8\ yd[/tex][tex]V_{cylinder} = (\pi * 6.76\ yd^2)*7.8\ yd[/tex]Simplify the expression
[tex]V_{cylinder} = (21.237\ yd^2)*7.8\ yd[/tex][tex]V_{cylinder} = 165.65\ yd^3[/tex]Therefore, after simplifying the expression using the cylinder volume formula and the given information we were able to determine that the option that best fits the description of our answer is option C, 166 cube yards.
Now that we completed the first question, we can move onto the second question. In this question we are given a figure along with 3 numbers and one unknown, x, which we need to find the value of. We need to use the Secant-Secant Power Theorem to help determine our solution.
Make an expression to represent the scenario
[tex]32(x + 32) = 28(20 + 28)[/tex]We know have an expression which we can now simplify and get the value of the unknown easily. The first step would be to distribute the 32 and 28.
Distribute both sides
[tex]32(x + 32) = 28(20 + 28)[/tex][tex](32 * x) + (32 * 32) = (28 * 20) + (28 * 28)[/tex][tex]32x + 1024 = 560 + 784[/tex]Simplify the expression
[tex]32x + 1024 = 1344[/tex]We now have a simple expression where we can now subtract both sides by 1024 to help isolate x with its coefficient.
Subtract 1024 from both sides
[tex]32x + 1024 - 1024 = 1344 - 1024[/tex][tex]32x = 1344 - 1024[/tex][tex]32x = 320[/tex]The final step that we have to help fully isolate x by itself is to divide both sides by 32 which would remove the coefficient from x.
Divide both sides by 32
[tex]\frac{32x}{32} = \frac{320}{32}[/tex][tex]x = \frac{320}{32}[/tex][tex]x = 10[/tex]After simplifying the expression completely, we are able to see that the best option that fits our description is option A, 10.
find the midpoint of the line segment between the points (11, -5) and (-3, -7)
Answer:
(4, -6)
Step-by-step explanation:
(x1+x2)/2 + (y1+y2)/2 = midpoint
(11+-3)/2 = 8/2 = 4. x = 4
(-5 + -7)/2 = -12/2. y = -6
4, -6 is the midpoint
give brainliest please! hope this helps :)
There are 10000 people living in a certain city. Suppose that the rate of population growth in the city is proportional to the number of inhabitants. Suppose that 10% of the original amount increase in 30 years, how much will the population in the city after 60 years?
Answer:
.............30000.............
please help me Im almost done
Answer:
[tex]\mathsf {x = 76}[/tex]
Step-by-step explanation:
The given pair of angles lie on a line, hence they are classified as linear angles. They possess the property by which their sum is equal to 180°.
[tex]\textsf {Solving :}[/tex]
[tex]\implies \mathsf {x + 17 + 87 = 180}[/tex]
[tex]\implies \mathsf {x + 104 = 180}[/tex]
[tex]\implies \mathsf {x = 180 - 104}[/tex]
[tex]\implies \mathsf {x = 76}[/tex]
Nala wants to find out if the quadrilateral shown is a rectangle. Nala's plan: • Find the slopes of all four sides. • See if there are two pairs of equal slopes. • See if there are two pairs of slopes that are negative reciprocals. Will her plan work? Why or why not?
Checking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other. Therefore her plan will work.
Proof for a quadrilateral
A quadrilateral are shapes with 4 sides. A rectangle is a quadrilateral with 2 parallel sides.
According to Nala's plan to find out if the quadrilateral shown is a rectangle, she can do the following;
See if there are two pairs of equal slopesSee if there are two pairs of slopes that are negative reciprocalChecking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other.
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Drag one comparison statement into each box below to make a true statement. Each comparison statement may be used once, more than once, or not at all.
The inequalities are; 5¹/₄ tons = 10500 pounds; 1/2 ton + 3/4 ton > 2800 pounds; 2 tons > 60000 pounces; 1¹/₄tons > 20000 ounces
How to find Inequalities?
1) 5¹/₄ tons when converted to pounds is 10500 pounds.
Thus; 5¹/₄ tons = 10500 pounds.
2) 1/2 ton + 3/4 ton = 5/4 tons
Converting 1.25 to tons gives 2500 tons. Thus;
1/2 ton + 3/4 ton > 2800 pounds
3) Converting 2 tons to Ounces gives 64000 ounces. Thus;
2 tons > 60000 pounces.
4) 1¹/₄tons - ¹/₂ton = ³/₄ tons
Converting to ounces gives 24000 ounces
Thus; 1¹/₄tons > 20000 ounces
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The surface area of a right cone which has a base diameter of 6 units and a height of 8 units is:
75 units squared.
108 units squared.
151 units squared.
188 units squared.
The area of a 2D form is the amount of space within its perimeter. The surface area of the cone is 108.79967 units².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Given the diameter of the cone is 6 units, therefore, the radius of the cone is 3 units, and the height of the cone is 8 units. Thus, the surface area of the right cone is,
A=πr [r+√(h²+r²)]
A = 108.79967 units²
Hence, the surface area of the cone is 108.79967 units².
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During the basketball season, Morgan made 3 times as many 2-point baskets as she made 3-point baskets and free throws combined. If she made 14 free throws and eight 3-point baskets, How many 2-point baskets did she make. And simplify your answer.
Answer:
123 save some for me
Step-by-step explanation:
:0
Answer: 123
Step-by-step explanation: I did the math- lol-
( brain + 95 points ) A triangular prism has a height of 10 cm and the triangle has a base of 4 cm and a height of 6 cm. Find the volume of the triangular prism.
Area of base
1/2BH1/2(4)(6)2(6)12cm²Volume
Area of base× height12(10)120cm³Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant. So, what is the highest possible number of inhabitants in that little town?
The highest possible number of inhabitants in that little town are 743.
What are inhabitant?A person or animal that lives in a place is called as the inhabitant.
Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant.
Let say there are 519 people in the town. and make them stand in a line with increasing number of hairs on their heads. This way, there will be a person on the last, who has no hair.
There are more number of people than the hairs. From bald to 742 hairs, 743 is the limit.
Thus, the highest possible number of inhabitants in that little town are 743.
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Sin 0 = -8/17 and cos 0 = 15/17 find tan0
Answer:
Step-by-step explanation:
Givens
sin(theta) = - 8/17
cos(theta)= 15/17
Tan(theta) = ?
Comment
Without using the Pythagorean Theorem, you could simply use tan(theta) = Sin(theta) / cos(theta)
Tan(theta) = sin(theta) / cos(theta)
Tan(theta) =[tex]\dfrac{\dfrac{-8}{17} }{\dfrac{15}{17} }[/tex]
Now turn the bottom fraction upside down and multiply.
Tan(theta) = [tex]\dfrac{-8}{17}*\dfrac{17}{15} = \dfrac{-8}{15}[/tex]
Answer Tan(theta) = -8/15
Use this tax table to find how much tax you need to pay on a taxable income of $40,000.
If taxable
But not
The tax is:
income is over--
over-
$0
$7,825
10 percent of the
amount over $0
$7,825
$31,850
$782.50 plus 15 percent
of the amount over
7,825
$31,850
$77,100
$4,386.25 plus 25
percent of the amount
over 31,850
$77,100
$160,850 $15,698.75 plus 28
percent of the amount
over 77,100
$160,850
$349,700 $39,148.75 plus 33
percent of the amount
over 160,850
$349,700
no limit
$101,469.25 plus 35
percent of the amount
over 349,700
OA $6,423.75
OB. $8,150.50
OC. $12,536.25
Answer:
b
Step-by-step explanation:
Amount of tax you need to pay on a taxable income of $40,000 is,
= $6423.75
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
According to table, $40,000 falls in the 3rd category between $31,850 and $77,100
And, The tax is "$4,386.25 + 25% of amount over 31,850"
Hence, we have:
= $4,386.25 + 25% of (40,000 - 31,850).
= $4,386.25 + 0.25 x 8150
= $6423.75
Thus, Amount of tax you need to pay on a taxable income of $40,000 is,
= $6423.75
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the mean of the data set is 18. what number is missing? 21,11,_,27,22,13,16
The missing number given the mean of the data set is 16.
What is the missing number?Mean is the average of a data set. It is determined by adding all the numbers in the data set and dividing the sum by the numbers in the data set.
Missing number = (mean x total number in the data set) - sum of numbers in the data set
(18 x 7) - ( 21 + 11 + 27 + 22 + 13 + 16)
126 - 110
= 16
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a group of 20 students in four adults are going on a field trip to the museum What is the ratio of students to adults complete the statement.
Answer:
5:1
Step-by-step explanation:
Originally the ratio is 20:4
but then it is simplified to 10:2
then 5:1
help me thank youuu!
Answer:
D) 5
Step-by-step explanation:
Because 5x5=25 so the square root would be 5
If a hot air balloon pilot inflates the balloon at an average wind speed of about 5 miles per hour with an altitude of 35,000 feet, how fast will the radius of the balloon increase as it goes up higher and higher performing certain tricks? Using the differentiation formula applicable for this situation, estimate the speed of inflation and the speed of landing. Will this be able to help the pilot still perform other tricks before making a colorful landing? Give at least two comprehensible reasons and explain your answer.
The speed of landing is 15.69 ft/sec.
What is differentiation ?"Differentiation, in mathematics, process of finding the derivative, or rate of change, of a function. In contrast to the abstract nature of the theory behind it, the practical technique of differentiation can be carried out by purely algebraic manipulations, using three basic derivatives, four rules of operation, and a knowledge of how to manipulate functions.
The three basic derivatives (D) are: (1) for algebraic functions, D(xn) = nxn − 1, in which n is any real number; (2) for trigonometric functions, D(sin x) = cos x and D(cos x) = −sin x; and (3) for exponential functions, D(ex) = ex."
Let the length of the rope = r
Height of the balloon = h
we are given dr/dt = 15ft/sec
at any time t we know:
[tex]r = 125 + 15*t[/tex]
By the Pythagoras theorem we know:
[tex]h^2 + 125^2 = r^2[/tex]
We have to find dh/dt at time t = 20 sec
[tex]d/dh(h^2 + 125^2) = d/dt(r^2)[/tex]
By chain rule:
[tex]d/dh(h^2 + 125^2)*dh/dt\\ = d/dr(r^2)*dr/dt\\2h*dh/dt = 2r* dr/dt\\h*dh/dt = r*dr/dt\\dh/dt = (r/h)*dr/dt[/tex]
[tex]= [(125 + 15*20)/(425^2 - 125^2)^1/2]*15[/tex]--------------------- at time t = 2
=15.69 ft/sec
Hence dh/dt = 15.69 ft/sec
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Zahid started the construction of an equilateral triangle inscribed in a circle. Which segments need to be drawn to create the triangle?
To finish his construction, Zahid needs to draw segments df ,
, and
.
The rule for construction of Inscribed equilateral triangle
Draw 6 marks as per the picture.Then join one with next alternative leaving second .Means if marks are from 1 to 6 then
133551Or
244662Now
Here the rest two segments are
DFBFBDAnswer:
FB and DB
Step-by-step explanation:
got it right on the test
Samples of size n = 60 are randomly selected from the population of numbers (0 through 9) produced by a random-number generator, and the mean is taken for each sample. What is the distribution of the sample means?
The distribution of the sample means when the samples of size n = 60 are randomly selected from the population is normal (approximately).
How is the sample explained?Calculating the sample mean is as simple as adding up the number of items in a sample set and then dividing that sum by the number of items in the sample set.
Here, the distribution of the sample means when the samples of size n = 60 are randomly selected from the population is normal (approximately).
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( PLEASE HELP WILL MARK BRAINLIEST PLEZ ) Calculate the area of a triangle with a base of 6 cm and a height of 12 cm. Draw and label the triangle.
Area
1/2BH1/2(6)(12)3(12)36cm²Base=6cm
Height=12cm
So,
1/2BH= 1/2×6×12
= (3×12)
= 36 cm²
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2. The number of hours you study for an exam impacts your grade. What is a reasonable value of the range?
70
-8
1.75
1/6
Answer:
62.
Step-by-step explanation:
because I subtract 70 to 8 equal to 62
Answer:
I think
Step-by-step explanation:
I think 62 hope you have a good day
What division problem does this area model represent?
Answer:
2,160 ÷ 36 = 60
Step-by-step explanation:
The division problem that this area model represents is,
2,160 ÷ 36 = 60
4(x-5)-(6x + 1)= 2x -19
Answer:
Step-by-step explanation:
Comment
I take it you want the value for x.
Solution
4(x-5)-(6x + 1)= 2x -19 Remove the Brackets.
4x - 20 - 6x - 1 = 2x - 19 Combine like terms
-2x - 21 = 2x - 19 Add 2x to both sides
-2x-21+2x = 2x + 2x - 19 Combine
-21 = 4x - 19 Add 19 to both sides
-21+19 = 4x -19 + 19 Combine like terms
-2 = 4x Divide by 4
-2/4 = x
x = - 1/2
Answer: x = - 1/2
or x = -0.5
Seven increased by the product of six and the number is 19
The number is that was multiplied by 6 is 2.
What is the number?The equation that can be derived from the question is :
7 + (6a) = 19
Where a is the unknown number that 6 was multiplied with
Given the above equation, in order to determine the value of a, take the following steps:
Combine similar terms: 6a = 19 - 7
Subtract similar terms: 6a = 12
Divide both sides by 6: a = 12 / 6
a = 2
Here is the complete question:
Seven increased by the product of six and the number is 19. What is the number?
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13. Figure QRSP is a rectangle.
Q.
100°
What is the measure of angle RPS?
A. 40 degrees
C. 80 degrees
B. 50 degrees]
Answer:
b 50 degrees bavaggagshdd
The area of Louisiana is approximately 4 x
104 square miles. The area of the United
States is approximately 225 times greater
than the area of Louisiana. What is the
approximate area of the United States?
Answer:
93,600
Step-by-step explanation:
4x104= 416
416x225 = 93,600
Use the strategy to simplify 4√576
Write the prime factorization of the radicand.
[tex]\begin{array}{r|l}576&2\\288&2\\144&2\\72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}[/tex]
[tex]576=2^6\cdot3^2[/tex]
Therefore
[tex]4\sqrt{576}=4\sqrt{2^6\cdot3^2}[/tex]
find the perimeter of a triangular field whose length of edges are 14 m, 12m 10 m Also find the length of required to fence 4 times around it?
Answer: 36 m, 144 m
Step-by-Step Explanation:
a = 14 m
b = 12 m
c = 10 m
Perimeter = a + b + c
Therefore,
= a + b + c
= 14 + 12 + 10
= 26 + 10
=> 36
Perimeter = 36 m
Length of Fence required for Fencing 4 times = Perimeter * 4
Therefore,
= Perimeter * 4
= 36 * 4
= 144
Length of Fence required for Fencing 4 times = 144 m
pls help, thank you!!
Answer: 1, 3
For a cubic polynomial, there are either 3 real roots or 1 real root nad 2 complex roots in a conjugate pair.