Answer:
length = 13 inches
Step-by-step explanation:
let the length be x
hence, the width = x-9
perimeter = 2(x+x-9) = 34
2(2x-9) = 34
4x- 18 = 34
4x = 52
x = 13
What is the volume. Round to the nearest hundredth if necessary.
Answer: 360
Step-by-step explanation:
Answer:
120 cubic feet
Dr. Tremble sends out surveys to faculty at 57 randomly selected colleges to assess their perceptions of faculty harassment. This is an example of _____ research.
Dr. Tremble's study is an example of quantitative research. This type of research involves the use of numerical data and statistical analysis to draw conclusions about a population.
In Dr. Tremble's study, he used surveys to collect data on the perceptions of faculty harassment from a sample of 57 colleges. By randomly selecting these colleges, he aimed to obtain a representative sample of the population of all colleges in the United States.
Quantitative research is useful for testing hypotheses and identifying patterns or trends in large sets of data. In Dr. Tremble's study, he can use statistical techniques to analyze the survey results and draw conclusions about the prevalence and nature of faculty harassment in colleges. He can also use the data to identify any patterns or trends in the types of colleges or faculty members that experience harassment.
Overall, quantitative research allows researchers like Dr. Tremble to draw generalizable conclusions about a population based on a sample. This makes it a valuable tool for studying large groups and identifying patterns that may not be apparent from individual cases or small-scale studies.
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Can someone pls help me with this?
Answer:
the answer would be c
Step-by-step explanation:
If the train is moving at a constant rate then the graph would have to show a straight line.
Yuri measures the height of the water in an aquarium in one metric unit. He then moves the decimal point three units to the left. Which pair of measurements might he be converting? Use the metric table to help answer the question.
Answer:the answer A( kiloliters to liters)
Answer:
Millimeter to Meter
Step-by-step explanation:
(PLEASEEE HELP ASAP!!) The Sugar Sweet Company will choose from two companies to transport Its sugar to market. The first company charges $5743 to rent trucks plus an additional
fee of $225.75 for each ton of sugar. The second company charges $7500 to rent trucks plus an additional fee of $100.25 for each ton of sugar.
sugar do the two companies charge
Q1: For what amount
the same?
Q2: What is the cost when the two companies charge the same?
Answer:
Q1:14 Q2:8903.5
Step-by-step explanation:
I find that using equations to solve problems makes it a lot easier.
The first company's equation would be y=5743+225.75x because 5743 is the set fee and 225.75 is for each ton of sugar. The second company would be y=7500+100.25x for the same reasons.
So we need to find a value of x that works for each company and a value of y that is the same for the cost.
Now we combine them.
Solve for x:
5743+225.75x=7500+100.25x
-5743 -5743
225.75x= 1757+100.25x
-100.25x -100.25x
125.50x=1757
/125.5 /125.5
x=14
Therefore, for Q1, the answer is 14.
Now we solve for y by substituting x for 14.
5743+225.75(14)
5743+3160.5
8903.5
We can also check this with the other equation
7500+100.25(14)
7500+1403.5
8903.5
So therefore, the answer to Q2 would be 8903.5.
PLEASE HELP ME
A rectangular plot of land is 90 ft long and 105 ft wide. On a map, the length is 3.6 in. Identify the width on the map.
Answer:
4.2 in
Step-by-step explanation:
90÷3.6 = 25
The plot of land is 25 times bigger than the map's scale. You have to divide 105 by 25 to get the same scale as the length (3.6 in.)
105÷25 = 4.2
Please give brainliest if that helped at all!
Determine K such that 2/3, k, 5/8,K are consecutive terms of an ap
Answer:
k = 16/33
Step-by-step explanation:
Determine k so that 2/3,k and 5/8k are the three consecutive terms of an a.p
k - 2/3 = 5/8k - k
3k-2/3 = 5k-8k/8
Cross product
(3k-2)(8) = (3)(5k-8k)
24k - 16 = 15k - 24k
24k - 16 = -9k
24k + 9k = 16
33k = 16
k = 16/33
Young is replacing the fencing around his rabbit pens and garden. The table shows the dimensions of the different areas. How many feet of fencing will he need to replace two rabbit pens and his garden? The perimeter of a rectangle is 2ℓ+2w, where ℓ is the length and w is the width.
If Young is replacing fencing around his rabbit pens and garden , then to replace the two rabbit pens and his garden the number of feet of fencing required is 76 ft .
The Dimensions of the Rabbit Pen is :
the length of rabbit pen is = 3.5 ft ;
the width of the rabbit pen is = 4.5 ft ;
the Dimensions of the Garden are :
the length of garden is = 12 ft ;
the width of garden is = 10 ft ;
So , Perimeter of Rabbit Pen is = \(2\times (Length + Width)\) ;
Perimeter = \(2\times (3.5 + 4.5)\)
= 16 ft .
Since there are 2 rabbit pens ,
So , the Perimeter of two rabbit pen is = \(16+16\) = 32 ft ;
And , Perimeter of Garden is = \(2\times (12 + 10)\) = 44 ft .
Total Perimeter of Pen and Garden is = \(32+44\) = 76 ft .
Therefore , Young would require 76 ft of fencing to replace the two rabbit pen and garden .
The given question is incomplete , the complete question is
Young is replacing the fencing around his rabbit pens and garden. The table shows the dimensions of the different areas. How many feet of fencing will he need to replace two rabbit pens and his garden?
Item Length(ft) Width(ft)
Rabbit Pen 3.5 4.5
Garden 12 10
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Park rangers at a game preserve in Africa observed a cheetah run 3
3
5
miles in
1
20
hour. What was the cheetah’s speed in miles per hour (mph)?
A.
9
50
mph
B. 5
5
9
mph
C. 72 mph
D. 92 mph
2
Among other ingredients, a recipe for paella calls for
3
4
pound of chorizo and
1
2
cups of rice. What is the unit rate of pounds of chorizo to cups of rice in the recipe?
A.
3
10
pound of chorizo per cup of rice
B.
8
15
pound of chorizo per cup of rice
C. 1
7
8
pound of chorizo per cup of rice
D. 3
1
3
pound of chorizo per cup of rice
3
Mary Ellen has a white oak tree in her backyard. She observed that the tree had grown
2
3
foot in
3
4
year. What is the tree’s growth rate in feet p
Answer:
Cheetah's speed = 2.79 miles per hour
Step-by-step explanation:
Speed = Distance / Time
Distance = 335 miles, Time = 120 hours
So, speed = 335 / 120
Speed = 2.79 mph
Select all equations that are true!
A and C are the right equation
The figure shows two perpendicular lines s and r, intersecting at point Pin the interior of a trapezoid. Line ris parallel to the bases and bisects both legs of the trapezoid. Line s bisects both bases of the trapezoid. РWhich transformation will always carry the figure onto itself? a) A rotation of 270° clockwise about point P b) A reflection across liner c) A reflection across liner d) A rotation of 180° clockwise about point P e) A rotation of 90° clockwise about point P f) A reflection across line s
A reflection of across line s is correct
The correct option is (b)
"Information available from the question"
The figure shows two perpendicular lines s and r, intersecting at point Pin the interior of a trapezoid.
Line r is parallel to the bases and bisects both legs of the trapezoid. Line s bisects both bases of the trapezoid.
Analysis the figure:
Since s is a line of symmetry
(x, y) = (-x, y)
r is not a line of symmetry
∴ (x, y) ≠ (x, -y)
(a) Across line r
(x, y) = (x, -y)
This is incorrect
(b)Reflection across line s
(x ,y) = (-x, y)
This is correct
(c) Rotation of 90° clockwise
(x, y) = (y ,-x)
This is incorrect
(d) Rotation of 180° clockwise
(x, y) = (-x, -y)
This is incorrect
(e) Rotation of 270° clockwise
(x, y) = (y ,-x)
This is incorrect.
Hence, A reflection of across line s is correct.
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The following ordered pairs represents y as a function of X.
{(3,7.5) (5,12.5) (6,15) (12,30)}
Which of the following ordered pairs could be added to this function and it will continue to represent y as a function of X?
(3, 12)
(6, 20)
(16, 40)
(12, 11.5)
Find the total surface area of this cone.
Leave your answer in terms of T.
24.in
SA =? - in2
Answer:
SA = 360π in²
Step-by-step explanation:
The slant height l is the hypotenuse of the right triangle inside the cone.
Using Pythagoras' identity to find l
l² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )
l = \(\sqrt{676}\) = 26
Then
SA = πrl + πr²
= (π × 10 × 26) + (π × 10²)
= 260π + 100π
= 360π in²
need help asap ! thanks
Gabby earned $70 selling 10 bracelets. How many bracelets does she need to sell to earn $210?
Answer:
30 bracelets
Step-by-step explanation:
$70 - 10 bracelets
$7 - 1 bracelet
Times 30
$210 -30 bracelets
What is the value of x in this figure? Enter your answer in the box. hexagon
In the diagram below, AD || EG, m/BFC = 75° and m/GFC = 38°. Find
m/FBC.
Step
1
2
3
try
Angle
m/BFC 75°
m/GFC-38°
m/EFB-67
m/ BCF
=
E
38
B
Reason
Given
Select a Reason
Given
Linear pair (or triple)
38
Applying the alternate interior angles theorem, the measure of angle FBC is determined as: 67°.
What is the Alternate Interior Angles Theorem?If two angles are alternate interior angles formed along a transversal on two parallel lines, then their measures are congruent or the same.
What are Angles on a Straight Line?Angles on a straight line are angles that lie along a straight line, and the sum of the angles equals 180 degrees.
Given the following:
m∠BFC = 75°
m∠GFC = 38°
∠EFB, ∠BFC, and ∠GFC are angles on a straight line, therefore:
m∠EFB = 180 - m∠BFC - m∠GFC
Plug in the values
m∠EFB = 180 - 75 - 38
m∠EFB = 67°
Find the measure of angle FBC:
Angles FBC and EFB are alternate interior angles, therefore:
m∠FBC = m∠EFB = 67° [alternate interior angles theorem]
m∠FBC = 67°
In summary, using the alternate interior angles theorem, the measure of angle FBC is determined as: 67°.
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Find the indicated side of the triangle.
b
45°
a
28
[?]
a =
... need help asap!!
Answer:
\( a = \frac{28}{ \sqrt{2} } \)
Step-by-step explanation:
\( \sin \: 45 \degree = \frac{a}{28} \\ \\ \frac{1}{ \sqrt{2} } = \frac{a}{28} \\ \\ a = \frac{28}{ \sqrt{2} } \)
The side of "a" of right angled triangle is \(\frac{28}{\sqrt{2} }\) .
What is trigonometric ratio?Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios formulas are given below,
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
According to the question
In right angle Δ
Hypotenuse = 28
Base for ∠45° = b
Perpendicular for ∠45° = a
now , Using trigonometric ratio
sin θ \(= \frac{Perpendicular}{Hypotenuse }\)
sin 45° = \(= \frac{a}{28}\)
\(\frac{1}{\sqrt{2} } = \frac{a}{28}\)
a = \(\frac{28}{\sqrt{2} }\)
Hence, side of "a" of right angled triangle is \(\frac{28}{\sqrt{2} }\) .
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solve the following laplace equation in the rectangle [0, 1] ×[0, 1]: uxx(x, y) uyy(x, y) = 0, u(0, y) = f (y), u(1, y) = 2f (y), u(x, 0) = 0, uy(x, 1) = 0.
whoa so um we have to do 11 20 and then we get 43 then we just gotta multiply
find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = t, y = e−3t, z = 4t − t4; (0, 1, 0)
Therefore, the parametric equations for the tangent line at (0, 1, 0) are: x = t, y = 1 - 3t, z = 4t
To find the parametric equations for the tangent line to the curve, we need to first find the derivative of the given parametric equations. Taking the derivative of x, y, and z with respect to t, we get: dx/dt = 1, dy/dt = -3e^(-3t), and dz/dt = 4 - 4t^3.
Now, plugging in the specified point (0, 1, 0), we get dx/dt = 1, dy/dt = -3, and dz/dt = 4.
To find the parametric equations for the tangent line to a curve with given parametric equations at a specified point, we first find the derivatives of x, y, and z with respect to t. Then, we plug in the specified point and use the derivatives to write the parametric equations for the tangent line.
Therefore, the parametric equations for the tangent line at (0, 1, 0) are: x = t, y = 1 - 3t, z = 4t
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sociologists say that 80% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). suppose that eleven married women are having coffee together one morning. find the following probabilities. (round your answers to three decimal places.) a button hyperlink to the salt program that reads: use salt. (a) all of them dislike their mother-in-law. (b) none of them dislike their mother-in-law. (c) at least nine of them dislike their mother-in-law. (d) no more than eight of them dislike their mother-in-law.
(a) The probability that all 11 women dislike their mother-in-law is approximately 0.209.
(b) The probability that none of the 11 women dislike their mother-in-law is approximately 0.002.
(c) The probability that at least nine of the 11 women dislike their mother-in-law is approximately 0.995.
(d) The probability that no more than eight of the 11 women dislike their mother-in-law is approximately 0.996.
This problem can be approached using the binomial distribution, which models the number of successes in a fixed number of independent trials with the same probability of success.
Let p be the probability that a randomly chosen married woman dislikes her mother-in-law, based on the sociologists' claim. Then, we have p = 0.8.
(a) To find the probability that all 11 women dislike their mother-in-law, we can use the binomial distribution with n = 11 and p = 0.8:
P(X = 11) = (11 choose 11) × 0.8^11 × 0.2^0 ≈ 0.209
(b) To find the probability that none of the 11 women dislike their mother-in-law, we can use the binomial distribution again
P(X = 0) = (11 choose 0) × 0.8^0 × 0.2^11 ≈ 0.002
(c) To find the probability that at least nine of the 11 women dislike their mother-in-law, we can use the complement rule and find the probability that fewer than nine dislike their mother-in-law
P(X < 9) = P(X = 0) + P(X = 1) + ... + P(X = 8)
Using the binomial distribution for each term, we get
P(X < 9) ≈ 0.005
Therefore, the probability that at least nine of the 11 women dislike their mother-in-law is approximately 1 - 0.005 = 0.995.
(d) To find the probability that no more than eight of the 11 women dislike their mother-in-law, we can again use the binomial distribution and add up the probabilities of X = 0, 1, ..., 8:
P(X ≤ 8) = P(X = 0) + P(X = 1) + ... + P(X = 8)
Using the binomial distribution for each term, we get
P(X ≤ 8) ≈ 0.996
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4. Solve each equation for x. (8 points: 2 points each)
a.) 3x-12y=27
b.) 6x-7y=-2
c.) 4x-k=17
d.) kx+c=9
Answer:
a. x = 9 + 4y
b. x = (7y-2)/6
c. x = (17 + k)/4
d. x = (9-c)/k
Step-by-step explanation:
In each of the equations, we want to make x the formula subject
a) 3x-12y = 27
3x = 27 + 12y
3x = 3(9 + 4y)
x = 9 + 4y
b) 6x-7y = -2
6x = 7y-2
x = (7y-2)/6
c) 4x - k = 17
4x = 17 + k
x = (17 + k)/4
d) kx + c = 9
kx = 9-c
x = (9-c)/k
I need some help please
Answer:
x+2
hope this helps ;)
and cute pfp
Answer:
Step-by-step explanation:
x-1, because 3 fits the criteria, x>=1
Last year, Alonzo had 30,00 to invest. He invested some of it in an account that pain 7% simple interest per year, and he invested the rest in an account that paid 5% simple interest per year. After one year, he revived a total of 1680 in interest. How much did he invest in each account?
The amount of money that Alonso has invested in these accounts is given as $9000 and $21000
How to solve for the investmentWe have to represent the percentages as a and b, then multiply 100 at the right hand side of the equation
we would have
7a + 5b = 1680 * 100
7a + 5b = 168000 ---- 1
From the amount that Alonso has to invest we would have
a + b = 30000
where b = 30000 - a ---- 2
We have to put the value of b in equation a
7a + 5(30000 - a) = 168000
7a + 150000 -5a = 168000
7a - 5a = 168000 - 150000
2a = 18000
a = 18000 / 2
= $9000
From equation 2
b = 30000 - 9000
= $21000
The amount that was invested in each of the accounts are
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Which pairs of non-overlapping angles share a ray to make a right angle? Select all that apply.
A ray is a half-infinite line. The pairs of non-overlapping angles that share a ray to make a right angle are ∠FGE and ∠FGH.
Since, We know that;
A half-infinite line (also known as a half-line) with one of the two points and is commonly used to represent a ray. It is assumed to be infinite.
A straight line has an angle of measurement of 180°. And a 90° angle is made when two lines are perpendicular to each other.
As we can see the line EGH is a straight line, and FG is another line that is perpendicular to line EH,
Therefore, it will form two angles measuring 90°. These angles will be ∠FGE and ∠FGH.
Hence, the pairs of non-overlapping angles that share a ray to make a right angle are ∠FGE and ∠FGH.
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Which shows two triangles that are congruent by the SSS congruence theorem?
O
O
O
A
B
B
B
B
E
E
C
C
D
D
E
W
The second option shows a pair of triangles which are congruent by the SSS congruence theorem.
What is the SSS congruence theorem?The SSS (Side - Side - Side) congruence theorem states that if two triangles have three sides that are congruent to each other, then the two triangles are congruent by the SSS theorem.
The congruent sides for the second option are given as follows:
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1) Jerry put $20,000 in a savings account paying 8% annual interest
compounded monthly. At this rate how much money will be saved in th
account after 10 years?
Putting $20,000 at 8% annual interest & monthly getting compounded , the amount of money that jerry will after 10 years is approximately $44,040.
Given :
present value (P) = $20,000
interest rate (r) = 8%
compounding monthly (n) = 12
Time (t) = 10 years
To find : Future value after 10 years when interest monthly gets compounded
Now,
we know the formula is
future value = present value × (1 + interest rate)^years
= P × ( 1 + r / n )^ nt
inserting values in the given formula we get,
future value = $20,000 × ( 1 + 8% / 12 )^ 10 × 12
= $20,000 × ( 1 + 8 / 1200 )^ 120
= $20,000 × (1 + 0.0066)^120
= $20,000 × ( 1.0066)^120
= $20,000 × 2.2020
= $44,040
Hence the amount saved by jerry after 10 years at the annual interest of 8% when money monthly is getting compounded with $20.000 will be $44,040.
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Taylor currently earn $24. 00 an hour at her job. Thank to her hard work, her bo i going to give her a 15% raie. How much will he earn each hour after the raie?
Answer:
Taylor will earn $27.60 after the raise.
Step-by-step explanation:
If you take $24.00 and multiply it by $1.15, your answer should be $27.60. Therefore, this is the answer to your question.
Hopefully this helps, did the best I could!
My teacher showed me this riddle can anyone help???
Answer:
12/36
12/15
16/28
25/45
Step-by-step explanation:
Find the general solution of the given differential equation.
(x + 1) dy/dx + (x + 2)y = 2xe^-x
y=
The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.
How to solve the given differential equation (DE)?To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:
1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).
So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)
2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:
d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)
3. Integrate both sides of the previous equation with respect to x to obtain:
e^(x^2/2 + 2x) y = - e^(-xy) + C
where C is the constant of integration.
4. Solve for y by dividing both sides by the integrating factor:
y = [- e^(-xy) + C] e^(-x^2/2 - 2x)
This is the general solution of the given DE.
Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.
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