Answer:
Top to Bottom:
2nd Parallelogram
2nd Trapezoid
Triangle
1st Parallelogram
1st Trapezoid
Step-by-step explanation:
1. Trapezoid: 40
2. Triangle: 30
3. Parallelogram: 32
4. Trapezoid: 28
5. Parallelogram: 24
P.S. Sorry I took to Long
What is the missing number in each circle?
b
2:3:5 = ○ : 9 : ○
Answer:
7 and. 10 uvbuv7cycyyccu xxx yxr x rxytscc6vucc ttyl j
Your current monthly water allotment is 60 gallons per month.
(a) Next month your water allotment will be reduced by 12 percent. What will be your new water
allotment in gallons per month
Answer:
52.80 Gallons per month
Step-by-step explanation:
60 - 12% = 52.80
Cell Phone Plans:
A: A cell phone provider offers a plan that costs $40 per month plus
$.20 per text message sent or received.
B: A comparable plan costs $60 per month but
offers unlimited text messaging.
a. How many text messages would you have to send or receive in order for the
plans to cost the same each month?
b. If you send or receive an average of 50 text messages each month, which plan
would you choose? Why?
A: Set of messages ______
Plan A or B?
A recently admitted class of graduate students at a large state university has a mean GRE verbal score of 650 with a standard deviation of 50. The scores are reasonably normally distributed. Five students have parents who happen to be on the board of trustees, and these students were admitted with a mean GRE score of 490. Should the local newspaper editor write a scathing editorial about favoritism?
Answer:
The answer is below
Step-by-step explanation:
The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:
\(z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\)
Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:
\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16\)
From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%
Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism
The length of the base of an isosceles triangle is x. The length of a leg is 4x−6. The perimeter of the triangle is 42. Find x
Answer:
x = 6
Step-by-step explanation:
x + 2(4x-6) = 42
x + 8x - 12 = 42
9x = 42 + 12
9x = 54
9/9 x = 54/9
x = 6
help asap!!
Find the length of AB
A. 2.89
B. 33.13
C. 378.63
D. 377.19
Answer:
C
Step-by-step explanation:
\( \sin( 5 ^{o} ) = \frac{33}{ab} \\ ab = 378.63\)
Question 12
You are negotiating to make a 7-year loan of $20,000 to Breck Inc. To repay you, Breck will pay $2,500 at the end of Year 1, $5,000 at
the end of Year 2, and $7,500 at the end of Year 3, plus a fixed but currently unspecified cash flow, X, at the end of each year from
Year 4 through Year 7. Breck is essentially riskless, so you are confident the payments will be made. You regard 8% as an
appropriate rate of return on a low risk but illiquid 7-year loan. What cash flow must the investment provide at the end of each of
the final 4 years, that is, what is X?
(A) $2,520.02
B) $2,831.49
$3,369.47
$2,491.71
0.5 Points
E $2,661.60
The required x = $2,831.49. Option B) is correct.
7-year loan of $20,000 to Breck Inc. To repay you, Breck will pay $2,500 at the end of Year 1, $5,000 at the end of Year 2, and $7,500 at the end of Year 3, plus a fixed but currently unspecified cash flow, X, at the end of each year from Year 4 through Year 7.
What is invesment?When some apply there money on something so that he can get higher value in returns of his money.
for the final 4 years
20000=2500/1.08+5000/(1.08^2)+7500/(1.08^3)+x/(1.08^4)+x/(1.08^5)+x/(1.08^6)+x/(1.08^7)
x = $2,831.49
Thus the required value of x = $2,831.49.
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Brandon buys 8 footballs then he buys 12 more how many dose he have
Answer:20
Step-by-step explanation:
Evaluate the expression 29-3(9-4)
Answer:
14
Step-by-step explanation:
PEMDAS - First Do Parentheses
29-3(5)
Then Do Multiplication
29-15
Then Finish with Subtraction
14
The value of the expression is 14.
We have,
Expression:
29 - 3 ( 9 - 4)
Remove the parenthesis.
29 - 3 x 9 + 3 x 4
29 - 27 + 12
Subtract and add the values.
14
Thus,
The value of the expression is 14.
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the volume of a pyramid is given by the formula V=1/, where B is the area of the base and h is the height?
Answer:
Step-by-step explanation:
The volume of this pyramid in cubic inches is 16.
Given that,
The base and height is 8 and 6.
Based on the above information, the calculation is as follows:
The volume is
= 16
Ten students are chosen from a statistics class of 22 students. Let X be the number who got an "A" in the class. Is this a binomial distribution, and if so, what is the number of trials?
Answer:
Yes, this is a Binomial distribution, and the number of trials is 10.
Step-by-step explanation:
From the given information:
We are being told that ten students are chosen from a statistics class of 22 students.
If X represents the random variable for the number of students who got an "A" in the class.
Then we have two possible outcomes;
Number of students that got an "A" = (Success)
Number of students that did not get an "A" = (Failure)
Thus, this is a Binomial distribution because it consists of two outcomes, and the number of trials is 10.
The picture shows a cement bag of weight Fg hanging from a rope which itself is supported by two other ropes attached to a ceiling. The latter two ropes make an angle θ1 and θ2 with the ceiling. Determine the tension in each rope. Use the angle addition identity to simplify your result: sin(α ± β) = sin α cos β ± cos α sin β
Answer:
\(T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}\)
Step-by-step explanation:
From the free body diagram attached below; we will see that
T₃ = Fg ------ (1)
Thus; as the system is in equilibrium, the net force in the x and y direction shows to be zero
Then;
\(\sum F_x= 0 \to T_2 Cos \theta _2 - T_1 cos \theta _1\)
\(T_2 Cos \theta _2 = T_1 cos \theta _1 \ \ \ \ \ - - - (2)\)
Also;
\(\sum F_y =0 \to T_2sin \theta_2+T_1sin \theta_1 - T_3 = 0\)
\(T_3 = T_2sin \theta_2+T_1sin \theta_1\) ---- (3)
From equation (2):
\(T_2 = \dfrac{T_1cos \theta_1}{cos \theta_2}\)
Replacing the above value for T₂ into equation 3; we have
\(T_3 = \dfrac{T_1cos \theta_1}{cos \theta_2}sin \theta_2+T_1sin \theta_1\)
\(T_3 cos \theta_2 = {T_1cos \theta_1}{}sin \theta_2+T_1sin \theta_1 cos \theta_2\)
\(T_3 cos \theta_2 = T_1(cos \theta_1 sin \theta_2+sin \theta_1 cos \theta_2)\) ---- (4)
Using trigonometric identity Sin (A+B) = SIn A cos B + Cos A sin B
So ; equation 4 can now be:
\(T_3 cos \theta_2 = T_1sin(\theta _1 + \theta_2)\) --- (5)
replacing equation (1) into equation (5) ; we have:
\(F_g}cos \theta_2 =T_1 sin (\theta_1+\theta_2)\)
Hence; the tension in the string is:
\(T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}\)
Ricky is testing soil for a contaminant at a building site,
He'll take action to stop construction if there's strong
evidence that the soil has more than 400 parts per
million (ppm) of the contaminant. He plans on using soil
from n = 30 randomly selected locations at the building
site. His hypotheses are H, :p < 400 ppm and
H:u > 400 ppm, where u is the mean amount of the
contaminant in the soil at this site,
Suppose that in reality, H, is actually true,
Which situation below would result in the lowest
probability of a Type Il error?
The scenario that will bring about a type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15
What is a type II error?It should be noted that a type II error simply describes the error that occurs when the individual fails to reject a null hypothesis.
From the complete question, type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15. In this case, the null hyothesis was not rejected.
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Answer:
Step-by-step explanation:
Compare the square root of one hundred forty and one hundred five ninths using <, >, or =.
square root of one hundred forty is greater than one hundred five ninths
square root of one hundred forty is equal to one hundred five ninths
one hundred five ninths is greater than square root of one hundred forty
square root of one hundred forty is less than one hundred five ninths
The square root of one hundred forty is less than one hundred five ninths. So, option D is correct.
According to this question we have to compare the square roots of both numbers One Hundred Forty and One Hundred Five Ninths. So, we have to calculate their square roots.
The square root of One hundred Forty: √140
The square root of One hundred Forty: 11.832
The square root of One Hundred Five Ninths: √159
The square root of One Hundred Five Ninths: 12.609
Comparing both of their square roots we can clearly see that :
(11.832) < (12.609)
The square root of 140 < Square root of 159
Hence, option D is correct. The square root of 140 is less than 159.
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Answer the following question, and show your work. *
2
4
3
6
6
3
8
9
7
9
8
???
Answer:
6
(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)
Step-by-step explanation:
To find the missing number in the given sequence, let's analyze the pattern:
2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, ???
Looking at the sequence, we can identify a few patterns:
The sequence alternates between increasing and decreasing numbers.
The first two numbers, 2 and 4, are increasing.
The next two numbers, 4 and 3, are decreasing.
The following two numbers, 3 and 6, are increasing.
The subsequent two numbers, 6 and 3, are decreasing.
The next two numbers, 3 and 8, are increasing.
The subsequent two numbers, 8 and 9, are increasing.
Based on these observations, it appears that the sequence is following a pattern where it alternates between increasing and decreasing numbers, but the specific values being added or subtracted are not consistent.
Now let's determine the missing number:
From the pattern, the next two numbers should be decreasing. Following the pattern of alternating between increasing and decreasing numbers, the missing number after the last given number (8) should be less than 9.
Let's assume the missing number is x:
8 - x
Since the previous decreasing sequence was 6 - 3, we can assume that x is 1 less than the previous number (3):
8 - (3 - 1) = 8 - 2 = 6
Therefore, the missing number in the sequence is 6.
The complete sequence is:
2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, 6
Calcola el 28% de 375
Answer:
Suponiendo que te refieres a calcular el 28% de 375, tu respuesta es 105.
Step-by-step explanation:
\(\frac{y}{375} :\frac{28}{100}\)
y · 100 = 28 · 375
100y = 10500
100y ÷ 100 = 10500 ÷ 100
y = 105
A taxi costs $5.50 for the first mile and an additional $0.75 for each additional mile traveled. Which of these
equations describes the cost of the fare, C, in terms of the number of miles traveled, m?
O A C = 0.75 (m +5.50)
O B. C = 5.50 (m +0.75)
O C C = 0.75m + 5.50
O D.C= 5.50m +0.75
Answer: C) C= 0.75m + 5.50
Step-by-step explanation:
Find the sum 7/15 + -9/15
Answer:
-2/15
Step-by-step explanation:
What is a fraction?A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.
To solve for the sum, we can add the numerators together because their denominators are the same.
To solve for the numerator, we can use this expression:
7 + -9 = -2Now, the fraction looks like this:
\(\frac{-2}{15}\)Therefore, the sum of 7/15 and -9/15 is -2/15.
plss help find how much paint will be needed to paint the jewelry box?
Answer:
135
Step-by-step explanation:
volume = width*length*height
5*9*3=135
we need 135inches³ to paint it
1) Note the following polynomial:
6 + 9x^2 + 3x^3 + 2x^4 - 12x
Part A) Rewrite the polynomial in standard form.
Part B) What is the degree of this polynomial ?
Part C) Use the Rule of Signs to determine the options of possible number of positive zeroes, negative zeroes and complex zeroes
Part D) Use the rational root theorem to determine what positive or negative numbers could be the roots of this polynomial.
Part E) graph this polynomial. Present a sketch or a screenshot of graph please.
Part F) Based on your graph, how many positive, negative and complex zeroes does this polynomial have ?
PLEAS HELP AND SHOW WORK! 25 POINTS and DON"T FORGET ABOUT THE GRAPH!
The powers, (index) and coefficients of the polynomial indicates;
(A) The standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6
(B) 4
(C) Positive zeroes; 2 or 0, negative zeroes; 0 or 2, complex zeroes; 0 or 2 or 4
(D) ±1/2, ±1, ±3/2, ±2, ±3, ±6
(E) Please find attached the graph of the polynomial created with MS Excel
(F) Four complex roots
What is a polynomial?A polynomial is a mathematical expression that consists of variables and coefficients joined together by addition, subtraction and multiplication, with the exponents of the variables consisting of positive integer values.
Part A) The polynomial in standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6
Part B) The degree of the polynomial is 4, as the highest power of the polynomial is 4
Part C) The use of the Rule of Signs, to determine the options for the number of positive zeroes, negative zeroes and complex zeroes, can be presented as follows;
Positive zeroes options; The number of time the signs coefficients of the expression; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6, changes are two as follows;
+6 to -12, and from -12 to +9, therefore, the number of possible positive zeroes are 2 or 0, positive zeroes
The negative zeroes options; The negative zeroes options can be found by changing the sign of all the coefficients as follows; -2·x⁴ - 3·x³ - 9·x² + 12·x - 6, therefore, the number of times the sign of the coefficients change are again from -6 to +12, and from +12 to -9, which is 2 times, therefore;
The possible number of negative zeros are 2 or 0, negative zeroes
Whereby there are possibly 0 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 4
Whereby there are 2 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 2 complex zeroes
Whereby there are possibly 0 negative zeros and 2 positive zeroes, the possible number of complex zeroes are 2 complex zeroes
Part D) The rational roots theorem indicates that for a polynomial the rational roots are in the form p/q, where p is a factor of the constant term, and q is a factor of the leading coefficient.
The constant term is 6, and the leading coefficient is 2. The factors of 6 are ±1, ±2, ±3, and ±6 and the factors of 2 are; ±1, ±2 therefore;
p/q = ±1/1, ±2/1, ±3/1, ±6/1, ±1/2, ±2/2, ±3/2, ±6/2, which can be summarized as; ±1/2, ±1, ±3/2, ±2, ±3, ±6
Part E) Please find attached a screenshot of the graph of the polynomial created with MS Excel
Part F) The attached graph of the polynomial, created with MS Excel, indicates that there are no real zeros of the polynomial, therefore, there are four complex zeroes of the polynomial
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There can be more than 1 answer btw :)
Answer:
A and D
Step-by-step explanation:
Ed needed to extend the string on his kite. The current string was seven and three fourths feet. He cut a piece of string that measured 8.5 feet and added it to the existing string. What is the new length of the string? fifteen and three fourths feet sixteen and one fourth feet three and one half feet three and one fourth feet
The new length of the string will be 16 1/4 feet. Then the correct option is B.
What is the length?It is the measure of distance between the two points and is known as length. The length is measured in meters generally.
Ed needed to extend the string on his kite. The current string was seven and three-fourths feet that is (7 3/4).
The mixed fraction number is coverted into a decimal number.
7 3/4 = 7.75 feet
He cut a piece of string that measured 8.5 feet and added it to the existing string.
Then the new length of the string will be
L = 7.75 + 8.5
L = 16.25
L = 16 1/4 feet
The new length of the string will be 16 1/4 feet. Then the correct option is B.
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Tyler is 6 feet tall and Blake measures his shadow to be 10 ½ feet long. Maddie measures the shadow of the tree to be 21 feet long. How tall is the tree to the nearest tenth of a foot.
20 Points
The tree is approximately 12 feet tall to the nearest tenth of a foot.
We have,
To find the height of the tree, we can set up a proportion using the measurements of the shadow.
Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:
Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length
6 feet / 10.5 feet = Tree's height / 21 feet
To find the tree's height, we can cross-multiply and solve for it:
6 feet x 21 feet = 10.5 feet x Tree's height
126 feet = 10.5 feet x Tree's height
Dividing both sides of the expression by 10.5 feet:
126 feet / 10.5 feet = Tree's height
12 feet = Tree's height
Therefore,
The tree is approximately 12 feet tall to the nearest tenth of a foot.
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BRAINLIST AND 20 POINTS I REALLY NEED HELP ASAP (10 POINTS FOR EACH QUESTION)
Answer:
7 bottles
$10
Step-by-step explanation:
multiply
1/6×42= 7 bottles
5/9×18= $10
A car rental company charges $15 per day and $0.55 per kilometer to rent a car. What is the total bill if a car is rented for 4 days and is driven 146 kilometers?
New streetlights will be installed along a section of the highway. THe posts for the streetlights will be 7.5 m tall and made of aluminum. The city can choose to buy the posts shaped like cylinders or the posts shaped like rectangular prisms. The cylindrical posts have a hollow core, with aluminum 2.5 cm thick, and an outer diameter of 53.4 cm. The rectangular-prism posts have a hollow core, with aluminum 2.5 cm thick, and a square base that measures 40 cm on each side. The density of aluminum is 2.7 g/cm3, and the cost of aluminum is $0.38 per kilogram. What is thee inner diameter of the cylinder and rectangular prism? If all posts must be the same shape, which post design will cost the town less? How much money will be saves per streetlight post with less expensive design?
B) $19.24 can be saved
Explanations:First, we determine the volumes of the posts may it be cylindrical in shape or rectangular prism.
(A) cylindrical:
( π(26.7/100)² - π(24.2/100)²)*(7.5) = 0.3 m³
(B) rectangular prism:
(40/100)²(7.5) - (35/100)²(7.5) = 0.28125 m³
Then, we calculate for the amount of substance
(A) cylindrical: (0.3 m³)(2700 kg/m³) = 810 kg
(B) rectangular prism : (0.28125 m³)(2700 kg/m³) = 759.375 kg
Then, calculate for the costs
(A) (810 kg)($0.38/kg) = $307.8
(B) (759.375 kg)($0.38/kg) = $288.56
Thus, the answer for A is rectangular post
B. About $19.24 can be saved.
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Find the Area Of This Figure.
Answer:
42in
Step-by-step explanation:
First divide up the shape.
The bottom will cut off to form a 6x3 rectangle which will have an area of 18in. Next is the top portion which is a trapezoid. You can figure out the area two ways. You can divide it further into two triangles and a rectangle. Or you can use the trapezoid formula. In this case I feel like dividing it. So since the top is 2 inches the bases of the two side triangles must be 2 due to the bottom base of the whole shape being 6. (1/2*2*6)*2 = 12in. Lastly the center rectangle is 2*6 (got 6 from 9-3) which is also 12. So the top half added together 12+12 equals 24in. When adding both top and bottom portions (18+24) you get 42in.
PLEASE HELP, I WILL MARK BRAINLIEST(no links)
Answer:
d
Step-by-step explanation:
35 points plz help
Evaluate −4(14)6x for x=13.
Enter your answer as a fraction in simplest form in the box.
Answer:
-15228
Step-by-step explanation:
Given the expression :
-4(14)6x for X = 13
To evaluate ; simply substitute 13 for X in the equation :
-14(14)6(13)
-14 * 14 * 6 * 13 = - 15228
Find the equation (in terms of x) of the line through the points (-4,-1) and (3,-3)
Y=
The equation of the line through the points is 7y = -2x - 15.
What is the equation through the points?
The equation of a line that passes through two given points is calculated as follows;
y - y1 = m(x - x1)
Where;
m is the slope of lineThe slope is calculated as;
m = (y2 - y1) / (x2 - x1)
m = (-3 + 1) / (3 + 4)
m = -2/7
The equation of the line is calculated as;
y - y1 = m(x - x1)
y - (-1) = (-2/7)(x - (-4))
y + 1 = (-2/7)(x + 4)
y + 1 = (-2/7)x - (8/7)
y = (-2/7)x - (15/7)
7y = -2x - 15
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