Answer:
Associative property
Step-by-step explanation:
The area of the parallelogram is 315 square units. What is the height of the parallelogram?
Answer:
h = 15 units
Step-by-step explanation:
A = bh
315 = 21h
h = 315/21
h = 15
Answer:
15 sq. units
Step-by-step explanation:
The Intuition for why the area of a parallelogram is A=bh (area = base x height)
The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.
Have a great day!
What is the total area of this composite figure rounded to the nearest hundredth?
29.57 mm 2
19.14 mm 2
17.57 mm 2
31.14 mm 2
Answer:
choice #4, total=31.14 mm^2
Step-by-step explanation:
14x2=28 is area of rectangle
1^2xPi=area of small circle
3.14=area of small circle
total=31.14 mm^2
Use mental math, estimation, and the division algorithm to evaluate the expressions.
What is the answer ?
118.4 divided by 6.4 ?
Answer:
18.5
Step-by-step explanation:
A screening test for a newly discovered disease is being evaluated for its performance as a screening test. In order to determine the effectiveness of the new test, it was administered to 270 workers. A total of 42 individuals who had been diagnosed with the disease tested positive for it. Results showed a negative test for an additional 25 people with the disease. A total of 51 people without the disease tested positive. What is the sensitivity, specificity, positive predictive value, negative predictive value, and accuracy of the test
Answer:
- Sensitivity = 62.7 %
- specificity = 74.9 %
- positive predictive value = 45.2 %
- negative predictive value = 85.9 %
- Accuracy of the test = 71.9 %
Step-by-step explanation:
Given the data in th question;
CONDITION POSITIVE CONDITION NEGATIVE TOTAL
TEST POSITIVE 42 51 93
TEST NEGATIVE 25 152 177
TOTAL 67 203 270
so; A=42, B=51, C=25 and D=152
Sensitivity = [A / ( A + C) ]×100= [42 /( 42 + 25)]×100 = [42 / 67] 100=
Sensitivity = 62.7 %
specificity = [D / ( D + B) ]×100= [152 /( 152 + 51)]×100 = [152 / 203] 100=
specificity = 74.9 %
positive predictive value = [A / ( A + B) ]×100 = [42 /( 42 + 51)]×100 =[42/93] 100
positive predictive value = 45.2 %
negative predictive value = [D / ( D + C) ]×100 = [152 /( 152 + 25)]×100 =[152/177] 100
negative predictive value = 85.9 %
Accuracy of the test = [A + D / ( A+B+C+D)] = [42 + 152 / ( 42+51+25+152)]
= [ 194 / 270 ]
Accuracy of the test = 71.9 %
Mr. V has 3 3/4 lbs of chocolate chips and he puts 3/4 lb in each batch. How many batches can
he make?
Answer:
5 batches
Step-by-step explanation:
Total chocolate chips = 3 3/4 = 15/4
15/4 ÷ 3/4
15/4 × 4/3
= 5 batches
A ladder is propped against the side of a building making a 30 degree
angle with the building
If the base of the ladder is 6 feet from the base of the building, how
high will the ladder be resting against the building, in feet? Round
your answer to the nearest whole number
43=0.34x+19.5
What is x
Step-by-step explanation:
43=0.34x+19.5
=> 0.34x+19.5 = 43
=> 0.34x = 43 - 19.5
= 23.5
[tex] = > x = \frac{23.5}{0.34} [/tex]
=> x = 69.117 (Ans)
Help me please
Determine the ratio for COS C in the picture below
Answer:
Step-by-step explanation:
Cos=opposite/hypotenuse
Cos C=32/40 or 4:5
Cos C=0.8
1/9 ÷5/4 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
0.8888888888
Step-by-step explanation:
that decimal just convert it to a fractoin
find the roots of x^4-6x^2+8
In my Knowledge
x^4-6x^2+8=0
expand and simplify (x-3) (x+5)
Answer:
x^2 + 2x - 15
Step-by-step explanation:
(x-3)(x+5)
x^2 + 5x - 3x - 15
x^2 + 2x - 15
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{(x - 3) (x + 5)}}\\\\\large\text{DISTRIBUTE}\\\\\large\boxed{\mathsf{x(x) + 5(x) - 3(x) - 3(5)}}\\\\\large\boxed{\mathsf{x^2 + 2x - 15}}\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{x^2+ 2x - 15}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]SOMEONE PLSS HELP NEED ASAP
Answer:
c
Step-by-step explanation:
if the sides are in proportion set the proportions
6.21/ 5.4 = x/2.6; cross multiply
5.4*x = 6.21 *2.6; divide by 5.4
x= 2.99
Reflect the figure across the x-axis then across the y-axis.
Answer:
A' is (-1,-1) B' becomes (-1,-4) C' becomes (-3,-1)
Step-by-step explanation:
To take a shortcut, reflecting a figure across both axes is the same as rotating a figure 180 degrees about the orgin using formula x,y goes to -x,-y but to explain it. Use formula (x,y) goes to (x,-y) to reflect it across x-axis then use formula (x,y) goes to (-x,y) to reflect it across y-axis. A' becomes -1,-1. B' becomes -1,-4 . C' becomes (-3,-1)
What is the total cost of a $12.50 item plus 6% sales tax?
Answer: %13.56
Step-by-step explanation:
3x + 2y = 22 −x + 4y = 2
Answer:x=11/2+y/2
Step-by-step explanation:
The solution of the given system of equation would be (6, 2)
What is a system of equations?Two or more equations to be solved together, i.e., the solution must satisfy all the equations in the system.
We have Given the equations, 3x + 2y = 22
-x + 4y = 2
Solving by elimination, Multiplying the second equation by 3,
3x+2y = 22
-3x + 12y = 6
Adding the equation, we get;
2y+12y = 22+6
24y = 28
y = 2
Putting y=2 we get;
3x+2*2=22
3x+4 = 22
3x = 18
x = 6
Hence, The solution is (6, 2)
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Which expression represents 3 times the sum of 7 and m ?
Answer:
3 (7+m)
Step-by-step explanation:
The correct expression is,
⇒ 3 (7 + m)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
''3 times the sum of 7 and m''
Now, We can formulate;
⇒ 3 × (7 + m)
⇒ 3 (7 + m)
Thus, The correct expression is,
⇒ 3 (7 + m)
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2. Which expression is equivalent to 5-(-8)?
A (-5) + 8 B 8+5
C 8-5
D 5-8
4/5 times 1/2 WHOEVER ANSWERS IN UNDER 2 MINUTS I WILL MARK BRAINLIEST
Answer:
2/5
Step-by-step explanation:
4/5*1/2
=2/5
Select five numbers that have 7, 13, and 3 as prime factors.
А
1,092
B
897
с
2,093
D
819
483
F
1,365
G
273
H
546
Answer:
ADFGH
Step-by-step explanation:
Good luck on your test!
The numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.
What is a prime factor?A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth. Now, we may also apply the so-called prime factorization, which actually involves using factor trees, for numbers.
The numbers having the prime factors 7, 13 and 3 are 1,092,819,1,365,273, and 546. Because all the numbers are completely divisible by the numbers 7, 13, and 3.
Therefore, the numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.
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Michael deposits $900 in a savings account
that pays 6.4% interest. What is the balance in
his account at the end of 3 years?
Answer:
$1084.10
Step-by-step explanation:
Is this correct please answer
Answer:
no need to skip a line between the office equipment and common stock.
Step-by-step explanation:
. You got 46 out of 65 questions right on your exam. What's your grade?
Answer:
about like 8 /10
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Mr. Pham mowed 2/7 of his lawn. his son mowed 1/4 of the lawn who mowed the most? How much of the lawn still needs to be mowed
Answer:
I believe the answer is 13/18
Step-by-step explanation:
if is not sorry but this is for 5th grade exit ticket only
How much should you invest at 5% annual interest rate to have the annual interest of $150?
Answer:
it is 7.5
Step-by-step explanation:
Answer:
It is 7.5
Step-by-step explanation:
Help? I’ll give brainliest
9514 1404 393
Answer:
10,466.7 in^3
Step-by-step explanation:
The volume of a cone is given by ...
V = (1/3)πr^2·h
where r is the radius and h is the height. Using your numbers, we have ...
V = (1/3)(3.14)(20 in)^2·(25 in) = 10,466.7 in^3
_____
A more accurate value of π will give a different result.
Find the slop of the line that passes through the points (-3,-1) and (0,3)
Step-by-step explanation:
Let the points of the given coordinates ( -3 , -1 ) & ( 0 , 3 ) be A and B respectively.
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
A ( -3 , -1 ) & B ( 0 , 3 )Let A ( -3 , -1 ) be ( x₁ , y₁ ) & B ( 0 , 3 ) be ( x₂ , y₂ )
[tex] \underline{ \underline{ \text{To \: Find}}} : [/tex]
Slope of the line that passes through the points A ( -3 , -1 ) & B ( 0 , 3 )[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \boxed{ \sf{slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} }}[/tex]
~Plug the known values and then simplify !
⟼ [tex] \tt{ \frac{3- ( - 1)}{0- ( - 3)}} [/tex]
⟼ [tex] \tt{ \frac{3 + 1 }{0 + 3} }[/tex]
⟼ [tex] \tt{ \frac{4}{3}} [/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \underline{ \boxed{ \tt{ \frac{4}{3}}}}}}}} [/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Simplify p^-8/7^-2q^-9
Answer:
[tex]\frac{7^2}{p^8 \cdot q^9}[/tex]
Step-by-step explanation:
[tex]\frac{p^{-8}}{7^{-2}} \cdot q^{-9} = \frac{\frac{1}{p^8}}{\frac{1}{7^2}} \cdot \frac{1}{q^9} = \frac{7^2}{p^8 \cdot q^9}[/tex] by the definition of negative exponents: [tex]a^{-b} = \frac{1}{a^b}[/tex] for all [tex]a,b[/tex] so long as [tex]a\ne 0[/tex].
The value of the exponential equation is A = 7²q⁹ / p⁸
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = p⁻⁸ / 7⁻² ( q ) ⁻⁹ be equation (1)
On simplifying the equation , we get
A = 7² ( q ) ⁹ / p⁸
Therefore , the value of A is 7²q⁹ / p⁸
Hence , the exponential equation is A = 7²q⁹ / p⁸
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The scale of a map is 1 cm : 75 km. What is the actual distance between two towns that are 5 cm apart on the map? The distance between the cities is ? km.
4 1/2 - 1 2/3 = ?
what is the question mark ?
Answer:
17/6 LMK if you need a different form.
Step-by-step explanation:
find a, geometry help !
Answer:
the answer would be i think im right 7
Step-by-step explanation: