9514 1404 393
Answer:
110 square inches
Step-by-step explanation:
First, recall the formula for the area of a trapezoid:
A = (1/2)(b1 +b2)h
Next, identify the base and height dimensions on the figure.
b1 = 13 in; b2 = 9 in; h = 10 in
Next, fill the numbers into the formula and do the arithmetic.
A = (1/2)(13 in + 9 in)(10 in) = (1/2)(22 in)(10 in) = 110 in^2
Last, answer the question asked.
The area of the trapezoid is 110 square inches.
The force acting on a beam was measured 5 times under the same operating conditions. This process was repeated by 3 observers, resulting in 3 sets of data. The standard deviations of these data sets were: Standard Deviation 1= 1.11, Standard Deviation 2= 0.99, Standard Deviation 3= 1.15 The corresponding mean values were: 52.3, 51.5, and 52.7, respectively. Compute the Pooled Standard Deviation for these data sets. (Provide your answer using two decimal places)
Answer:
The Pooled Standard Deviation for these data sets is 1.09
Step-by-step explanation:
Given that;
Standard Deviation 1 = 1.11
Standard Deviation 2 = 0.99
Standard Deviation 3 = 1.15
pooled standard deviation is given as;
[tex]S_{pooled}[/tex] = (n1 - 1 )s1² + ..... + ( nk - 1 )sk² / n1 + ..... + nk - 1
where n1, n2....., nk are the sample sizes of k groups and s1, s2, ....., sk are the standard deviations of k groups respectively
so for the 3 groups;
[tex]S_{pooled}[/tex]² = (n1 - 1 )s1² + (n2 - 1 )s2² + ( n3 - 1)s3² / n1 + n2 + n3 - 3
we substitute
[tex]S_{pooled}[/tex]² = (5 - 1 )1.11² + (5 - 1 )0.99 ² + ( 5 - 1)1.15² / 5 + 5 + 5 - 3
[tex]S_{pooled}[/tex]² = (4.9284 + 3.9204 + 5.29) / 12
[tex]S_{pooled}[/tex]² = 14.1388 / 12
[tex]S_{pooled}[/tex]² = 1.1782
[tex]S_{pooled}[/tex] = √1.1782
[tex]S_{pooled}[/tex] = 1.08544 ≈ 1.09
Therefore, The Pooled Standard Deviation for these data sets is 1.09
Who can help me with this
Answer:
Growth
Step-by-step explanation:
Given
[tex]\frac{2}{3}(2.5)^x[/tex]
Required
Growth or decay
The general form is:
[tex]y = ab^x[/tex]
Such that:
[tex]b = rate[/tex]
For b, we have the following conditions:
[tex]b > 1[/tex] ----- Growth
[tex]0<b <1[/tex] --- Decay
[tex]b = 1[/tex] ---- None
Compare [tex]\frac{2}{3}(2.5)^x[/tex] to [tex]y = ab^x[/tex]
[tex]b = 2.5[/tex]
Because 2.5 > 1, then the first condition applies (growth)
12) Find the zeros of the function:
f(x) = x2 + 5x – 36
IS
Answer:
x² +5x - 36
= x² - 4x + 9x - 36
= x(x - 4) +9(x - 4)
= (x - 4) (x+9)
so x = 4, - 9
The price of Stock A at 9 A.M. was $12.21. Since then, the price has been increasing at the rate of $0.11 each hour. At noon the price of Stock B was $12.71. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
mildiu usa so lapuaña kqyiq iwguiq oga oga. apphq. kgaoa
Step-by-step explanation:
suost. oaabqj the ksysa
1/2x5/6, as a fraction, because my brain is not remembering rn
Answer:
5/12
Step-by-step explanation:
Multiply and divide decimals.
One pound of chocolate chip cookies cost $3.79. David buys exactly 5 pounds of chocolate chip cookies. How much will the cookies cost?
State Your answer. Give Details. Explain what you did and justify Your steps.
And also, you'll get brain if u do these directions. :)
Answer:
5 pounds of chocolate chip cookies cost $18.95.
Step-by-step explanation:
If one pound of chocolate chip cookies cost $3.79, then 5 pounds of chocolate chip cookies will cost 3.79 times 5 dollars, which is equal to $18.95.
Hope this helps!
Solve the system of linear equations by elimination. 8x-5y=11 4x-3y=5
Answer:
(x,y)= ( 5 over 273, - 265 over 273)
Step-by-step explanation:
After solving the obtained equation with the elimination method the obtained value of x and y will be 2 and 1 respectively.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that,
8x-5y=11 ------ (1)
4x-3y=5 --------- (2)
In order to solve the above equation with the elimination method, we have to apply the multiplicative distribution law as,
Multiply by 2 in equation 2
2(4x-3y=5)
8x- 6y = 10 ----- (3)
Subtract equation 3 from equation 1,
(8x- 6y)-(8x-5y) = 10 - 11
8x-8x-6y+5y = -1
-y = -1
y=1
Substitute the value of y in any of the equations 1 to get the value of x
8x-5y=11
8x-5(1)=11
8x-5=11
8x=16
x=2
Thus, after solving the obtained equation with the elimination method the obtained value of x and y will be 2 and 1 respectively.
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Rachel has 2/3 pound of snack mix. She eats 5/12 of the snack mix.
How much of the snack mix did Rachel eat?
Enter your answer in the box as a fraction in simplest form.
pound
Basic
Answer:
[tex]\frac{5}{18} pound of snack mix is eaten by Rachel.[/tex]
Step-by-step explanation:
Given
Total snack mix with Rachel [tex]\frac{2}{3}[/tex] Pounds
Snack mix eaten by Rachel [tex]= \frac{5}{12}[/tex] of the total snack mix
[tex]\frac{5}{12}[/tex] of the total snack mix accounts for
[tex]\frac{5}{12} * \frac{2}{3} = \frac{5}{18}[/tex] Pound
Sheila rolled a number cube numbered 1 through 6 and tossed a coin for heads, H, or tails, T.
Which list represents all the possible outcomes of rolling the numbercube and tossing the
coin?
Which statement is true based on the graph ?
Answer:
C: The speed increases from A to F
Step-by-step explanation:
Check each node A to F including A and F.
B is higher than A, C is higher than B, ...
This is true for all of them, so it is increasing.
The speed of the car is increasing in the time interval from point A to point F. Option C is correct.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
What is the graph?The graph depicts the relationship between the x and y axes through the use of curves.
Here,
The graph shows the speed and time relation of the car,
Where,
The speed of the car is increasing from A to F,
The speed of the car is decreasing from F to G,
The speed of the car is increasing from G to H,
The speed of the car is decreasing from H to K,
Thus, the car's speed increases over the time span from point A to point F. Option C is the right answer.
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5. Licorice are 5 cents. How many licorice can you buy
with 10 cents?
Answer:
2
Step-by-step explanation:
5+5=10
Simply
x + 50 × 10 = 150
Answer:
x + 50 × 10 = 150
x+500=150
x=150-500=-350
Step-by-step explanation:
solution,
here,
given,
x+50*10 = 150
or, x+500=150
or, x= 150 -500
therefore, x= -350
hope this helps u..
What is the minimum of the sinusoidal function?
Answer: The minimum is -4.
Step-by-step explanation:
The minimum of a function:
y = f(x)
will be the smallest value of y that the function gives.
such that, if the minimum is y = m
m ≤ f(x) ∀ x
In this case, we can see that the smallest value of y is:
y = -4
Then the minimum of the sinusoidal function is -4.
all vertical and horizontal cross-sections of any Cube are all the same size and shape what about vertical and horizontal cross-sections of a pyramid are they all the same size are they all the same shape discuss why or why not
Answer:
All the horizontal sections are the same shape like their base, but have different sizes.
All vertical sections through top are triangles, size are different.
The vertical sections not cut through top are 4 sided shapes, sizes are different.
Step-by-step explanation:
Elena went 60 meters in 15 seconds. Noah went 50 meters in 10 seconds. Elena and Noah both moved at a constant speed. Who went faster?
Answer:
Noah went faster.
Step-by-step explanation:
Elena: 60 divided by 15 = 4
Noah: 50 divided by 10 = 5.
5 meters per second is greater than 4 meters per second, making Noah faster than Elena.
Sasha ate 3 pieces of bacon for breakfast and ate some pieces for lunch. How many pieces of bacon did she eat today?
What is the formula for circumference? а a C = (pi) bo C = 2r с C = (pi) r2
Answer:
2(pi)r=C
Step-by-step explanation:
The rectangle can be made into a hollow cylinder with height 40cm and radius 1.910cm.
a) calculate the volume of this cylinder.
Answer:
458.45 cm³
Step-by-step explanation:
Volume of a cylinder is A = πr²h.
A = π(1.910)²(40)
A = 458.43 cm³
Triangle GHI is dilated to form new triangle JKL. If angle H is congruent to angle K, what other information would prove that the two triangles are similar by the capital AA similarities postulate?
Answer: Angle I is congruent to angle L
Step-by-step explanation:
Did da test
To prove ΔGHI and ΔJKL are similar following statements must be true,
i) angle I and angle L are congruent.
ii) angle G and angle J are congruent
iii) sides of the triangles are in proportion
⇒[tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex][tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex]
What are similar triangles?"Two or more triangles are similar if and only if the corresponding angle measures same and their corresponding side lengths are in proportion.."
What is dilation?"It is a geometric transformation where there is a change in the size of an object without changing its shape.""The size of the object changes on the basis scale factor."For given example,
ΔGHI is dilated to form new ΔJKL.
Also, angle H is congruent to angle K.
To prove ΔGHI and ΔJKL are similar.
i) angle I and angle L are congruent.
ii) angle G and angle J are congruent
iii) sides of the triangles are in proportion
⇒[tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex]
Therefore, to prove ΔGHI and ΔJKL are similar following statements must be true,
i) angle I and angle L are congruent.
ii) angle G and angle J are congruent
iii) sides of the triangles are in proportion
⇒[tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex]
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Complete the table for
y = x/4 -1
Answer:
X Y
0 -1
2 -0.5
4 0
6 0.5
8 1
Step-by-step explanation:
I hope i got that right
Help me with this one please
A class of 195 students went on a field trip. They took 19 vehicles, some cars and some buses. If
each car holds 5 students and each bus hold 25 students, how many buses did they take?
Answer:
1car 8 bus
Step-by-step explanation:
1×5=5
8×25=190
Write a classification essay to describe two types of animal flight
One of the two basic types of animal locomotion: powered flight, actual flight, or gliding. Real wings are only found in most bird species, most insect orders, and bats.
What are the categories?A category listing is a list of various product categories, such as children's clothing, women's clothing, and men's clothing. Any form of a category can be simply created
Soaring and gravitational gliding are two distinct types of gliding flight.
In controlled gravitational gliding, a creature propels itself in a precise direction after delaying its descent and relying on the wind for horizontal motion (parachuting).
Adaptations for guided gliding are primarily made to increase glide ratio (the amount of horizontal distance covered per unit descent)
Therefore, powered flight or true flight are the two basic categories of animal locomotion.
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A profit of a football club after a takeover is modeled by p(t) = t3 - 14t2 + 20t + 120, which t is the number of years after the takeover. In which years was the club making loss?
The club losses during the years 4.89 years<t<11.29 years.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
Profit of a football club after a takeover is modeled by p(t) = t³ - 14t² + 20t + 120,
t is the number of years after the takeover
We need to find in which years was the club making loss
p(t) = t³ - 14t² + 20t + 120,
the profit is negative when the club is in loss.
Plot the cubic equation
The profit p(t) is negative in the interval (4.89,11.29)
The number of years t cannot be a negative number
Hence the club lost during the years 4.89 years<t<11.29 years.
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Question 4 Given that P = 6 and a 2, which yields a quotient greater than -9? O A 3 B 3() c Зр (-2) (-p) (-3)
Answer:
I think is A or B I don't know
Answer:
a
Step-by-step explanation:
f one Canadian dollar is equivalent to US$0.8150, how much do you need in
Canadian funds to buy US$800.00? (2 ma
Answer:
It will take $ 989.59 in Canadian funds to buy $ 800.
Step-by-step explanation:
If one Canadian dollar is equivalent to US $ 0.8150, in order to determine how much money is needed in Canadian funds to buy US $ 800.00 the following calculation must be performed:
0.8150 = 1
800 = X
(800 x 1) / 0.8150 = X
800 / 0.8150 = X
981.59 = X
Therefore, it will take $ 989.59 in Canadian funds to buy $ 800.
Kamala has 2 liter of soup. he pours it into 4 bowls. each bowl gets an equal amount. how many millilitres of soup are in each bowl?
Answer:
500ml
Step-by-step explanation:
[tex]2000 \div 4 = 500[/tex]
Answer:
500 ml
Step-by-step explanation:
2 litres= 2000 millilitres divided into 4 bowls=2000÷4=500 millilitres
Write -√-49 as an imaginary number using i.
Represent 4-3i on the graph
A set of equations is given below:
Equation S: y = x + 9
Equation T: y = 2x + 1
Which of the following steps can be used to find the solution to the set of equations? (4 points)
x = 2x + 1
x + 9 = 2x
x + 1 = 2x + 9
x + 9 = 2x + 1
How many real and how many are imaginary
Please Explain how to do it
Answer:
no idea bud
Step-by-step explanation:
Answer:
There are no real solutions, and 2 imaginary solutions.
Step-by-step explanation:
There are no real solutions since the function never touches the x-axis and it does not have any roots. Imaginary solutions always come in pairs, and since the exponent degree of x is 2, there are 2 solutions to the problem. You can find the imaginary solutions by plugging the equation into the quadratic formula.