Answers
Answer:
x = 9.9 in.
2 of the same type of triangle = 1 square
To find x, you have to remember that a square is made from two right triangles combined. In this photo, we can see that the length and width of the triangle have the same value (the two sides that point up and to the right), so that means if we multiply the area by two, then we get the area of a square or two of the same triangle's area.
Step 1:
To find the area of the square/two triangles, multiply the area by two.
[tex]49*2=98[/tex]
98 is the area of the square.
Step 2:
Now we have to find the square of 98 (find two numbers that are the same that multiply to 98).
[tex]\sqrt{98}[/tex]
When we solve this square, we find out that it is not a perfect number. So:
[tex]\sqrt{98} =\\9.89949[/tex]
That is just an estimate of x, so when we round to the nearest tenth, we get 9.9.
To check our answer, multiply 9.9 by 9.9 and we get 98.01, but since we rounded our answer, 98.01 is correct. If we round that to 98 and divide by 2, we get our original area of one triangle, 49.
x = 9.9
Answer:
9.9
Step-by-step explanation:
Well let's work backwards.
If the area is 49 then we do 49*2 because after doing b*h you divide by 2.
So 49*2 = 98.
If the b and h is the same then we find the square root of 98,
which is 9.899494937.
Thus,
the answer is 9.9 rounded to the nearest tenth.
Hope this helps :)
Related Questions
if a 10 pound turkey cost 20.42 how much does 21 pound turkey cost
Answers
Answer:
$42.88
Step-by-step explanation:
We can set up a cross product fraction ratio to find how much 21 pounds of turkey costs.
[tex]\frac{10}{20.42} = \frac{21}{x}[/tex]
Let's apply the cross multiplication property.
[tex]20.42\cdot21=428.82[/tex]
Now we divide this by 10.
[tex]428.82\div10=42.882[/tex]
This simplifies down to [tex]42.88[/tex].
Hope this helped!
A company finds that if they price their product at $ 35, they can sell 225 items of it. For every dollar increase in the price, the number of items sold will decrease by 5.
What is the maximum revenue possible in this situation? (Do not use commas when entering the answer) $
What price will guarantee the maximum revenue? $
Answers
The price that guarantees the maximum revenue is $40.
The maximum revenue possible in this situation is $8000.
Given that the company can sell 225 items at a price of $35, and for every dollar increase in price, the number of items sold decreases by 5, we can set up a relationship between price and quantity sold.
Let's denote the price as "P" and the quantity sold as "Q". We can express this relationship as follows:
Q = 225 - 5(P - 35)
This equation represents the decrease in quantity sold as the price increases.
To find the price that guarantees the maximum revenue, we need to find the price at which the quantity sold multiplied by the price is maximized. This is equivalent to finding the maximum value of the revenue function.
Revenue (R) is calculated as:
R = P × Q
To find the price that guarantees the maximum revenue, we need to maximize the revenue function R(P).
Let's substitute the expression for Q into the revenue function:
R(P) = P × (225 - 5(P - 35))
Now, simplify and expand the equation:
R(P) = P × (225 - 5P + 175)
= P × (400 - 5P)
To find the maximum revenue, we need to find the value of P that maximizes R(P). This can be done by finding the critical points of the function, which are the values of P where the derivative of R(P) equals zero.
Let's take the derivative of R(P) with respect to P:
dR(P)/dP = 400 - 10P
Setting the derivative equal to zero and solving for P:
400 - 10P = 0
10P = 400
P = 40
Therefore, the price that guarantees the maximum revenue is $40.
To find the maximum revenue, substitute P = 40 into the revenue function:
R(40) = 40 × (225 - 5(40 - 35))
= 40 × (225 - 5(5))
= 40 × (225 - 25)
= 40 × 200
= 8000
Hence, the maximum revenue possible in this situation is $8000.
To learn more about the derivative;
https://brainly.com/question/24898810
#SPJ12
A ball is thrown from a height of 20 meters with an initial downward velocity of 5 m/s. The ball's height h (in meters) after t seconds is given
by the following.
h=20-5t-5t²
How long after the ball is thrown does it hit the ground?
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answers
Answer:
1.56 seconds
Step-by-step explanation:
When the ball hits the ground, h = 0.
0 = 20 − 5t − 5t²
Divide both sides by -5.
0 = t² + t − 4
Solve with quadratic formula.
t = [ -1 ± √(1² − 4(1)(-4)) ] / 2(1)
t = (-1 ± √17) / 2
The time must be positive, so:
t = (-1 + √17) / 2
t ≈ 1.56
help (6)(-1)(-3)(10)(-2)
Answers
Answer:
The answer is
- 360Step-by-step explanation:
(6)(-1)(-3)(10)(-2)
Multiply the terms in the bracket
That's
(6)(-1) = - 6
(-3)(10) = - 30
So we have
(-6)(-30)(-2)
= 180( - 2)
= - 360
Hope this helps you
less than 0 but greater than (−5)
Answers
Answer:
-5 < x < 0
Step-by-step explanation:
A college administrator predicts that the proportion of students that are nursing majors is greater than 40%. To test this, a group of 400 students are randomly selected and it's determined that 190 are nursing majors. The following is the setup for this hypothesis test:
H0:p=0.40
Ha:p>0.40
In this example, the p-value was determined to be 0.001. Find the conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%)
Answers
Answer:
Step-by-step explanation:
Using the following data:
H0:p=0.40 (null hypothesis)
Ha:p>0.40 (alternative hypothesis)
The p-value was determined to be 0.001.
a significance level of 5%
Since the p value (0.001) is less than the significance level (0.05), we will reject the null hypothesis and then we would conclude that the proportion of students that are nursing majors is greater than 0.4.
Answer:
p value= 0.131
Step-by-step explanation:
Since we have calculated the test statistic, we can now proceed to find the p-value for this hypothesis test.Using the test statistic and since the hypothesis test is a left tailed test, the p-value will then be the area under the standard normal curve to the left of the test statistic of -1.12.Using the Standard Normal table given above, the area under the standard normal curve to the left of the test statistic of -1.12 is 0.131 (rounded to 3 decimal places.Thus the p-value = 0.131.
The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are three appetizers, three soups, three main courses, and three desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible
Answers
Answer:
There are 2 * 32 = 64 possible ways for choosing three course meal.
Step-by-step explanation:
1-If we choose an appetizer, main course and a soup then there are 32 ways to choose this three course meal. 4 * 2 * 4 = 32 ways. There will be an appetizer, main course and a soup in the meal.
2-If we choose a soup, main course and a dessert then there are 32 ways to choose this three course meal. 4 * 2 * 4 = 32 ways. There will be a soup, main course and a dessert in the meal.
There are 2 possible ways to choose either an appetizer or dessert in a 3 course meal. There will be 64 ways in total for the three course meal.
The letters "A", "B", "C", "D", "E", and "F" are written on six slips of paper, and the slips are placed into a hat. If the slips are drawn randomly without replacement, what is the probability that "E" is drawn first and "B" is drawn second?
Answers
Answer:
1/30
Step-by-step explanation:
The probability of getting ”E” is 1/6.
There is only 1 “E” out of 6 letters.
There is no replacement.
There are now 5 letters without “E”.
”A”, “B”, “C”, “D”, “F”
The probability of getting ”B” is 1/5.
There is only 1 “B” out of 5 letters.
⇒ 1/6 × 1/5
⇒ 1/30
Find the intervals of convergence of f(x), f '(x), f ''(x), and ∫f(x) dx. (Be sure to include a check for convergence at the endpoints of the intervals. Enter your answer using interval notation.) f(x) = [infinity] (−1)n + 1(x − 8)n n8n n = 1
Answers
Answer: See solution and explanations in the attached documents
Step-by-step explanation:
See explanations in the attached documents
Line B passes through the points (5, 10) and (0, 0). What is the slope of the line perpendicular to line B?
Answers
Answer:
The line that is perpendicular to B has a slope of -1/2
Step-by-step explanation:
First find the slope of line B
m = ( y2-y1)/(x2-x1)
= (10-0)/(5-0)
= 10/5
= 2
Lines that are perpendicular have slopes that multiply to -1
m * 2 = -1
m = -1/2
The line that is perpendicular to B has a slope of -1/2
Answer:
-1/2x
Step-by-step explanation:
Hey there! :)
Well to find the slope of line B we'll use the following formula.
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
We'll use the points (0,0) and (5,10),
10 - 0 = 10
5 - 0 = 5
Slope = 2x
The slopes of 2 perpendicular lines are reciprocals of each other,
meaning if the slope of line B is 2x then its perpendicular lines slope is -1/2x.
Hope this helps :)
i have to write equations in standard form using integer coefficients for A,B, and, C Example: y= -8/15x + 1/20
Answers
Answer:
c
Step-by-step explanation:
A cash register has $10 and $50 dollars bills with total of $1080.there are 28 bills in total how many of each bills.
Answers
Hey there! I'm happy to help!
Let's set this up as a system of equations, where x is equal to the number of 10 dollar bills and y is equal to the number of 50 dollar bills.
10x+50y=1080
x+y=28
We want to solve for x or y. We can rearrange the second equation to find the value of one of the variables.
x+y=28
Subtract x from both sides.
y=28-x
Now, we have a value for y. So, we could replace the y in the first equation with 28-x and the solve for x.
10x+50(28-x)=1080
We use distributive property to undo the parentheses.
10x+1400-50x=1080
We combine like terms.
-40x+1400=1080
We subtract 1400 from both sides.
-40x=-320
We divide both sides by -40.
x=8
Since there are 28 total bills, this means that there must be 20 50 dollar ones because there are 8 10 dollar bills.
Have a wonderful day! :D
What is the value of the fourth term in a geometric sequence for which a1 =
30 and r= 1/2
Answers
Answer:
3¾
Step-by-step explanation:
Geometric sequence also known as geometric progression, can be said to be a sequence with a constant ratio between the terms.
Formula for geometric sequence:
[tex] a^n = a ( n-1 ) * r [/tex]
Given:
First term, a1 = 30
ratio, r = ½
Required:
Find the fourth term
Where, the first term, a¹ = 30
Second term: a² = 30 * ½ = 15
Third term: a³ = 15 * ½ = 7.5
Fourth term: a⁴ = 7.5 * ½ = 3.75 = 3¾
Therfore the fourth term of the geometric sequence is 3¾
In how many ways can 13 people be divided into four groups with 3, 6, 2 and 2 people respectively?
Answers
Answer:
6227020800
Step-by-step explanation:
There are 13 ways to choose the first person in the first group, 12 ways to choose the second person in the first group and so on until we get 1 way to choose the second person in the last group so the answer is 13 * 12 * 11 * ... * 3 * 2 * 1 = 13! = 6227020800.
"Radon: The Problem No One Wants to Face" is the title of an article appearing in Consumer Reports. Radon is a gas emitted from the ground that can collect in houses and buildings. At certain levels it can cause lung cancer. Radon concentrations are measured in picocuries per liter (pCi/L). A radon level of 4 pCi/L is considered "acceptable." Radon levels in a house vary from week to week. In one house, a sample of 8 weeks had the following readings for radon level (in pCi/L). 1.92.45.75.51.98.23.96.9 (a) Find the mean, median, and mode. (Round your answers to two decimal places.) mean 4.55 median 4.7 mode 1.9 (b) Find the sample standard deviation, coefficient of variation, and range. (Round your answers to two decimal places.) s CV % range (c) Based on the data, would you recommend radon mitigation in this house
Answers
Answer:
a) Mean = 4.55
Median = 4.7
Mode = 1.9
b) S = 2.3952
CV = 52.64 %
Range = 6.3
c) Yes, since the average and median values are both over "acceptable" ranges.
Step-by-step explanation:
Explanation is provided in the attached document.
A manufacturer claims that its rechargeable batteries are good for an average of more than 1.000 charges. A random sample of 100 batteries has a mean life of 1002 charges and a standard deviation of 14. Is there enough evidence to support this claim at a significance level of 0.01?
a. State the hypotheses.
b. State the test statistie information
c. State either the p-value or the critical information d. State your conclusion and explain your reasoning
Answers
It's 1000 charges and not 1.000 charges
Answer:
A)Null Hypothesis;H0: μ = 1000
Alternative Hypothesis;Ha: μ ≠ 1000
B) t-statistic = 1.4286
C) p-value = 0.15628
D) We conclude that we will fail to reject the manufacturers claim that its rechargeable batteries are good for an average of more than 1000 charges
Step-by-step explanation:
We are given;
x = 1002 charges
s = 14
μ = 1000 charges
n = 100
degree of freedom = n - 1 = 100 - 1 = 99
A) The hypotheses are;
Null Hypothesis;H0: μ = 1000
Alternative Hypothesis;Ha: μ ≠ 1000
B) t-statistic = (x - μ)/(s/√n)
(1002 - 1000)/(14/√100) = 1.4286
C) From the t-score calculator results attached, the p-value is approximately 0.15628
D) The P-value of 0.15628 is is greater than the significance level of 0.01, thus we fail to reject the null hypothesis, and we conclude that the result is statistically nonsignificant.
The ratio of men to women working for a company is 7 to 5 . If there are 90 women working for the company, what is the total number of employees?
Answers
Answer:
The Total of employees
=216 employees
Step-by-step explanation:
Ratio of men to women is 7 to 5
Meaning
Men/women= 7/5
If their are 90 women
Let men= x
X/women= 7/5
X= women *7/5
X= 90*7/5
X= 18*7
X= 126
There are a total of 126 men
The Total of employees=men + women
The Total of employees=126+90
The Total of employees
=216 employees
I need some help, see the picture for the question. Solve for V
Answers
Answer:
the answer is A) h=3V/(Pi*r^2)
Step-by-step explanation:
This question is asking to solve for h, the equation is allready solved for V.
to solve for h means to get h by itself on one side of the equation.
1) V=(1/3)*pi*r^2*h. Divide 1/3*pi*r^2 to the other side of the equation
2) V/(1/3)*pi*r^2=h. 1/3 on the bottom denominator means we can multiply the reciprocal to the bottom and the top and get an equivalent answer. In short, move the 3 from the 1/3 onto the top.
3) (3*V)/(pi*r^2)=h. Simplify.
4) 3V/(Pi*r^2)=h.
What is the range of y=log2(x-6)
Answers
Answer:
6<y<∞
Step-by-step explanation:
Logarithmic curves can never go left to 0 and go on forever to the right.
x=6 would make the function 0, so 6 is the lower limit and infinity would be the upper limit.
An ice sculpture is melting at a constant rate. It's weight changes -1 4/5 pounds every hour. What is the total change in weight of the sculpture after 3 1/2 hours?
Answers
Answer:
It will decrease by 6 3/10 lbs in the 3 1/2 hours
Step-by-step explanation:
The rate is -1 4/5 lbs per hour
The time is 3 1/2 hours
Multiply to find the weight change
-1 4/5 * 3 1/2
Change to improper fractions
- ( 5*1 +4) /5 * ( 2* 3+1)/2
- 9/5 * 7/2
-63/10
Changing back to a mixed number
-6 3/10
It will decrease by 6 3/10 lbs in the 3 1/2 hours
Answer:
-6 3/10 pounds
Step-by-step explanation:
The weight of ice sculpture changes -1 4/5 pounds every 1 hour.
In 3 1/2 hours, multiply the time with the weight.
-1 4/5 × 3 1/2
Multiply.
-9/5 × 7/2
-63/10 = -6 3/10
How many solutions does the following equation have? 14(z+3)=14z+21
Answers
Answer:
No solutions
Step-by-step explanation:
14(z + 3) = 14z + 21
Expand brackets.
14z + 42 = 14z + 21
Subtract 14z on both sides.
42 = 21
There are no solutions.
Answer:
No solution
Step-by-step explanation:
First, We have to simplify the right side.
Distribute 14, 14z+42.
Now the equation stands as 14z+42=14z+21
Subtract 14z from both sides,
this makes it 42=21.
We know when the solution is #=#, our answer is no solution.
Based on the dot plot, which statements are correct? Check all that apply
Eleven students answered Mr. Chiu's question.
Twelve students answered Mr. Chiu's question.
Three people studied for two hours.
Three people studied for three hours.
Everyone who responded studied for at least one hour.
Four people studied for four or more hours
Answers
Answer: options 2,3and 6
Answer:
option
2-Twelve students answered Mr. Chiu’s question.
3-Three people studied for two hours.
6-Four people studied for four or more hours.
Step-by-step explanation:
hope this helps:)
please help!! shirley is drawing triangle that have the same area
Answers
Answer:
12 and 7
Step-by-step explanation:
The area of the first triangle is
A = 1/2 bh
A = 1/2 ( 14*6)
A = 42
The area of the second triangle must equal 42
Varying inversely means as the height increases, the base must decrease at the same rate
Lets try 12 and 7
A = 1/2 (12*7)
A = 42
The height of the new triangle increased and the base decreased
Answer:
[tex]\boxed{12 \: \mathrm{and} \: 7}[/tex]
Step-by-step explanation:
Solve for the area of first triangle.
[tex]\frac{bh}{2}[/tex]
[tex]b=base\\h=height[/tex]
[tex]\frac{14 \times 6}{2}[/tex]
[tex]\frac{84}{2} =42[/tex]
The area of second triangle is same as the first triangle.
The area of second triangle is 42 units².
The base varies inversely with the height.
[tex]b \propto \frac{1}{h}[/tex]
As the value of b increases, the value of h decreases.
[tex]\frac{12 \times 7}{2}=42[/tex]
The answer is b = 12 and h = 7.
The contingency table represents a box of cards. Box of Cards 1 2 3 4 5 Total Black 1 1 1 1 1 5 Red 1 1 1 0 0 3 Total 2 2 2 1 1 8 What is the probability that a card chosen at random is black and 1?
Answers
Answer:
[tex]Probability = \frac{1}{8}[/tex]
Step-by-step explanation:
Given
Box of Cards -- 1 -- 2 -- 3 -- 4 -- 5 -- Total
Black --------------1 ---1 ----1 ----1 ---1 ----5
Red ---------------- 1 ---1 ----1 ----0--- 0--- 3
Total --------------- 2 ---2 --2-----1 -----1 ---8
Required
Determine the probability of a card being black and being card 1
To solve this, we the the number of card 1 that is black
This is shown below
Box of Cards -- 1
Black --------------1
This implies that, 1 card is black and also card 1
Represent this with [tex]n(Black\ and\ 1)[/tex]
[tex]n(Black\ and\ 1) = 1[/tex]
Next, is to get the total number of cards
From the given parameters;
[tex]Total = 8[/tex]
The probability is calculated as follows
[tex]Probability = \frac{n(Black\ and\ 1)}{Total}[/tex]
[tex]Probability = \frac{1}{8}[/tex]
A poll of 61 students found that 22% were in favor of raising tution to pave new parking lots. The standard deviation of this poll is 6%. What would be the standard deviation if the sample size were increased from 61 to 290?
Answers
Answer:
The standard Deviation would increase
Step-by-step explanation:
Is this advantages?
WHOEVER ANSWERS FIRST GETS BRAINLIEST:) Which expression represents the surface area of the cone? A cone with diameter 12 inches, height 8 inches, and slant height 10 inches. S A = pi r l + pi r squared (pi) (6) (10) + (pi) (6 squared) (pi) (8) (10) + (pi) (8 squared) (pi) (12) (10) + (pi) (12 squared) (pi) (10) (12) + (pi) (10 squared)
Answers
Answer:
Step-by-step explanation:
The surface area of a cone is:
● Sa = Pi*r^2 +Pi*r*l
r is the radius and l is the slant heigth
The diameter of this cone is 12 inches so the radius is 6 (12/2=6).
●Sa = Pi*36 +Pi*6*10
●Sa = 301.59 in^2
Answer:
pi (6) * 10+ pi ( 6)^2
Step-by-step explanation:
The surface area of a cone is given by
SA = pi rl +pi r^2 where r is the radius and l is the slant height
We know the diameter is 12 so the radius is 12/2 = 6
SA = pi (6) * 10+ pi ( 6)^2
A food concession owner in a mall sold 120 beef, vegetable, and pork sliders in 7 days. 20% of the sliders sold were beef and 15% were vegetable. How many pork sliders were sold?
Answers
Answer:
78 pork sliders
Step-by-step explanation:
The food concession owner sold 120 beef, vegetable and pork sliders.
20% were beef.
15% were vegetable.
The percentage of pork sliders sold is:
100 - (20 + 15) = 100 - 35 = 65%
The number of pork sliders sold is therefore:
65/100 * 120 = 78
78 pork sliders were sold.
A father's age is 4 times as that of his son's age. in 5 years time, the father will be 3 times as old as his son. what are their present ages?
Answers
Answer:
present age of son = 10 present age of father = 40Step-by-step explanation:
Let, present age of son be 'x'
present age of father be 'y'
y = 4x→ equation ( i )
After five years,
Son's age = x + 5
father's age = y + 5
According to Question,
[tex]y + 5 = 3(x + 5)[/tex]
Put the value of y from equation ( i )
[tex]4x + 5 = 3(x + 5)[/tex]
Distribute 3 through the parentheses
[tex]4x + 5 = 3x + 15[/tex]
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S. and change its sign
[tex]4x - 3x = 15 - 5[/tex]
Collect like terms
[tex]x = 15 - 5[/tex]
Calculate the difference
[tex]x = 10[/tex]
Now, put the value of X in equation ( i ) in order to find the present age of father
[tex]y = 4x[/tex]
plug the value of X
[tex] = 4 \times 10[/tex]
Calculate the product
[tex] = 40[/tex]
Therefore,
Present age of son = 10
present age of father = 40
Hope this helps..
Best regards!!
calculate the value of angle A to one decimal place. Picture Attached
Answers
Answer:
[tex] A = 50.7 [/tex] (to nearest tenth)
Step-by-step explanation:
Use the Law of Cosines to find the value of angle A as follows:
[tex] cos(A) = \frac{b^2 + c^2 - a^2}{2*b*c} [/tex]
Where,
a = 7 in
b = 5 in
c = 9 in
Plug in the values into the formula
[tex] cos(A) = \frac{5^2 + 9^2 - 7^2}{2*5*9} [/tex]
[tex] cos(A) = \frac{57}{90} [/tex]
[tex] cos(A) = 0.6333 [/tex]
[tex] A = cos^{-1}(0.6333) [/tex]
[tex] A = 50.7 [/tex] (to nearest tenth)
Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation? y = negative four-thirds x + 31. y = 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = 2 x + 7. y = negative four-thirds x + 31. y = negative 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = negative 2 x + 7.
Answers
Answer:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
y = 2 x + 7
Step-by-step explanation:
Let x represent the smaller number and y represent the larger number.
Part 1Four times a number added to 3 times a larger number is 31.
It is translated as:
4x + 3y = 31Then, solving for y:
4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3⇒ y= - 4/3x + 31/3
Correct answer choice for this equation:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
Part 2Seven subtracted from the larger number is equal to twice the smaller number.
It is translated as:
y-7= 2xThen, solving for y:
y-7= 2x ⇒ y= 2x+ 7Correct answer choice for this equation:
y = 2 x + 7
Answer:
It's A.
Step-by-step explanation:
I just got it correct on my unit test review.