Answer:
A = 192 cm²
Step-by-step explanation:
Given that,
The length of the diagonal of a rectangle is 20 cm.
The difference between its length and its width is 4 cm.
Let the length is l and width is b.
ATQ,
l-b = 4 ...(1)
Let x is the diagonal of the rectangle such that,
[tex]x^2=l^2+b^2[/tex]
or
[tex]20^2=l^2+b^2\\\\l^2+b^2=400[/tex] ....(2)
Now we need to solve equation (1) and (2).
Squaring equation (1) : [tex]l^2+b^2-2lb=16[/tex]
Put equation (2) in above equation.
[tex]400-2lb=16\\\\400-16=2lb\\\\2lb=384\\\\lb=192[/tex]
Since, the area of the rectangle, A = lb
A = 192 cm²
True or false: Some irrational numbers are also rational numbers
Answer: False.
Step-by-step explanation: Rational and irrational numbers are the opposites of each other. If a number is rational, it cannot possibly be irrational.
Think about it this way, can a negative number be both negative and positive? No, of course not. This is the exact same concept, albeit using rational and irrational instead of positive and negative. Still, a number can only be one or the other, never both.
A large bucket holds 5 gallons of water, which is about the same as 19 liters of water.
A small bucket holds 2 gallons of water. About how many liters does it hold?
Gallons of water Liters of Water
5 19
1
2
7.6
plz answer quickly
Answer:
7.6
Step-by-step explanation:
19/5 = 3.8
So,
3.8 x the amount of gallons = the amount of litres
If we have 2 gallons, then,
3.8 x 2 = 7.6
Answer:
7.6
Step-by-step explanation:
Add it
Determine whether the given number is an irrational number or a rational number and place it in its representing
category
Irrational Numbers
Rational Numbers
Answer:
Answer below
Step-by-step explanation:
Rational:
36
7/16
81
Irrational:
120
48
pi
The rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.
What is an irrational number?It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
From the definition of rational and irrational number, we can identify the rational and irrational numbers as below:
Rational numbers:
√36 = 6
7/16
√81 = 9
Irrational number:
√120
√48
π
Thus, the rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.
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help please help mesda
Answer:
25, 25, 22.5, 22
Step-by-step explanation:
It gives you a hint; K = y/x. They give you what x and y are so use that to solve for the last row.
We are given all of these values:
x -> 2, 3, 4, 5
y -> 50, 75, 90, 110
Use the formula given and solve for K.
50/2 = 25
75/3 = 25
90/4 = 22.5
110/5 = 22
Best of Luck!
To test a theory of fruit flies reaching a carrying capacity, the Laurel Springs Science Club creates an environment that will attract fruit flies to a 2-cup glass jar in which is placed food and a stimulus for the fruit flies to lay eggs. The students track the population growth of the fruit flies and find the following equation to fit the growth: P(t) = 230 / 1 + 5.6 5e ^ -0.37 t
1) Determine the initial population.
2 )What is the population after 5 days?
3)How long does it take for the population to reach 180?
4) How long does it take for the population to reach one-half of the carrying capacity?
Tell msrkmark me brainlist please.
The answer is yes 4th one 8s your answer.
Step-by-step explanation:
because I like to make sure that people pass
The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 47 and a standard deviation of 7. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 47 and 68
Answer:
[tex]P(-2<Z<2)=95\%[/tex]
Step-by-step explanation:
From question we are told that
Sample mean [tex]\=x= 47[/tex]
Standard deviation [tex]\sigma =7[/tex]
Generally the X -Normal is given as
[tex]Z=\frac{x-\=x}{\sigma}[/tex]
[tex]Z=\frac{x-47}{9}[/tex]
Analyzing the range
[tex]P(47<x<65) = P(0< z<2.00)[/tex]
[tex]P(47<x<65) = 95/2[/tex]
[tex]P(47<x<65) = 47.5\%[/tex]
Mathematically
[tex]Z_1 =\frac{47-47}{9} =0[/tex]
[tex]Z_2 =\frac{65-47}{9} =2[/tex]
Empirical rule shows that
[tex]P(-2<Z<2)=95\%[/tex]
What is the magnitude of -5.8
please friend complete your answer
A rectangle has an area of 18 square units. What can be said of its height and width? Check all that apply.
A.
The height could be 1 and the width 18.
B.
The height could be 3 and the width 6.
C.
The height could be 6 and the width 3.
D.
The height could be 8 and the width 10.
Answer: A, B, and C
Step-by-step explanation:
Area = Length x Width
A. With these dimensions, the area would be 18 sq units
1 * 18 = 18
B. With these dimensions, the area would be 18 sq units
3 * 6 = 18
C. With these dimensions, the area would be 18 sq units
6 * 3 = 18
D. With these dimensions, the area would be 80 sq units
8 * 10 = 80
determine whether p^2+14p+49 is a perfect square trinomial. Justify your answer.
Answer:
(p+,7)2 the number 2 is to be above 7 hope this helps
Using the number line above, select the number that would be the opposite of Point T.
Answer:
-8
Step-by-step explanation:
i feel its correct
Please help!!!!!!!!!
Answer:
Step-by-step explanation:
The point means that 15 pounds of beans cost 12 dollars.
45587000 in standard form
Answer:
4.5587
Step-by-step explanation:
this is because standard form of numbers are supposed to be 1 and 9
Answer:
4 .5587 * [tex]10^{7}[/tex]
Type the correct answer in the box. Use numerals instead of words.
Adrian has a bag full of pebbles that all look about the same. He weighs some of the pebbles and finds that their weights are normally distributed, with a mean of 2.6 grams and a standard deviation of 0.4 grams.
What percentage of the pebbles weigh more than 2.1 grams? Round to the nearest whole percent.
Answer:
89% of pebbles weigh more than 2.1 grams.
Step-by-step explanation:
Given that
Mean = 2.6
SD = 0.4
As we have to find the percentage of pebbles weighing more than 2.1, we have to find the z-score for 2.1 first
[tex]z = \frac{x-mean}{SD}\\z = \frac{2.1-2.6}{0.4}\\z = -1.25[/tex]
Now we have to use the z-score table to find the percentage of pebbles weighing less than 2.1
So,
[tex]P(x<-1.25) = 0.10565[/tex]
This gives us the probability of P(z<-1.25) or P(x<2.1)
To find the probability of pebbles weighing more than 2.1
[tex]P(x>2.1) = 1 - P(x<2.1) = 1 - 0.10565 = 0.89435[/tex]
Converting into percentage
[tex]0.89435*100 = 89.435\%[/tex]
Rounding off to nearest percent
89%
Hence,
89% of pebbles weigh more than 2.1 grams.
Answer:
89%
Step-by-step explanation:
Let f(x) be a continuous function such that f(1)=2 and f(x)= x^3+6 and What is the value of f(5)?(A) 11.446 (B) 13.446 (C) 15.446 (D) 24.672 (E) 26.672 fx x f5
Answer:
the value of f(5) is 26.672
Option (E) 26.672 is the correct answer
Step-by-step explanation:
Given that;
f(1) = 2 and f(x) = √( x³ + 6 )
f(5) = ?
f(5) = f(1) + ₁∫⁵ f'(x) dx
we substitute
f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx
f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx
f(5) = 2 + 24.6719
f(5) = 26.672
Therefore the value of f(5) is 26.672
Option (E) 26.672 is the correct answer
The value of f(5) is 26.672
Continuous functions and drivativesGiven the following parameters
f(1) = 2
f(x) = √( x³ + 6 )
We need to calculate the value of f(5) as shown below
f(5) = f(1) + ₁∫⁵ f'(x) dx
Substitute the given parameters
f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx
f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx
f(5) = 2 + 24.6719
f(5) = 26.672
Hence the value of f(5) from the solution is 26.672
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Alejandro's baseball album holds 3 baseball cards per page. If there are 8 pages in the album, how many baseball cards can it hold? Use the number line to help solve the problem. Write your answer in the post below.
Answer:
24
Step-by-step explanation:
Given that:
Baseball album holds 3 baseball cards per page
Number of pages in album = 8
3 baseball cards per page
Number of baseball cards album can hold
(Number of baseball cards per page * number of pages in album)
(3 * 8) = 24
Use the order of operations to simplify the expression. 5 + 21 ÷ 7 x 2 - 3
plz help! will give brainliest!!!!
Answer:
60
Step-by-step explanation:
2.094= hummingbird
176= elephant
176-2.094= 173.906
approximately it will be 60
60 is closer to 173.906 than 600.
Is my answer correct?
Answer:
It's wrong. The correct answer is -3 1/8x + 6 3/10
Step-by-step explanation:
You don't need to do the first two numbers of each equation but you want to consider the last part of the equation since each of them is different. Convert 2 1/5 to 2 2/10 to make it easier. Because you are subtracting two negative numbers, they will actually add so 2 2/10 + 4 1/10 equals 6 3/10 which makes the second option applicable.
Find the value of x, showing all steps. (3 pts.)
Answer:
11
Step-by-step explanation:
42 + 39= 81 and you need to get to 180 so the 3rd angle would be 99 so 99 dived by 9 is 11 so x=11
The bar graph in the following graphic represents fictional net exports in billions of dollars for five countries. Net exports are obtained by subtracting total imports from total exports; a negative net export means the country imported more goods than it exported.
Net Exports (Billions of dollars) United States Denmark China Germany Spain -150 -100 150 -50 050 100 Net Exports (Billions of dollars)
What is the difference between the net exports from The United States and Denmark?
a. 70 billion dollars
b. 80 billion dollars
c. 90 billion dollars
d. -140 billion dollars
Answer:
$80 billion
Step-by-step explanation:
From the graph, we have the following:
[tex]United\ States = -110[/tex]
[tex]Denmark = -30[/tex]
[tex]China = 120[/tex]
[tex]Germany = 40[/tex]
[tex]Spain = 30[/tex]
Required
Determine the difference in US and Denmark exports
The difference is calculated as thus:
[tex]Difference = Denmark - United\ States[/tex]
This gives:
[tex]Difference = -30 - (-110)[/tex]
[tex]Difference = -30 +110[/tex]
[tex]Difference = 80[/tex]
Hence, the difference is $80 billion
Answer:
If your question looked like this: China's net exports are represented by a positive integer. Explain what this tells you about imports and exports of China.
A. China's exports exceed imports by 120 billion dollars.
C.
China's total exports are 120 billion dollars.
B. China's total imports are 120 billion dollars.
D. China's imports exceed exports by 120 billion dollars.
Step-by-step explanation:
Then your answer is
A. China's exports exceed imports by 120 billion dollars
Which graph shows the points (–3, 5) and (4, –3) plotted correctly? On a coordinate plane, a point is 3 units to the left and 8 units up. Another point is 10 units to the right and 5 units down. On a coordinate plane, a point is 6 units to the left and 4 units up. Another point is 5 units to the right and 3 units down. On a coordinate plane, a point is 6 units to the left and 10 units up. Another point is 8 units to the right and 6 units down. On a coordinate plane, a point is 3 units to the left and 5 units up. Another point is 4units to the right and 3 unitsWhich graph shows the points (–3, 5) and (4, –3) plotted correctly? On a coordinate plane, a point is 3 units to the left and 8 units up. Another point is 10 units to the right and 5 units down. On a coordinate plane, a point is 6 units to the left and 4 units up. Another point is 5 units to the right and 3 units down. On a coordinate plane, a point is 6 units to the left and 10 units up. Another point is 8 units to the right and 6 units down. On a coordinate plane, a point is 3 units to the left and 5 units up. Another point is 4units to the right and 3 units down. down.
Answer:
On a coordinate plane, a point is 3 units to the left and 5 units up. Another point is 4units to the right and 3 units down
Step-by-step explanation:
The coordinate plane is a plane formed from the intersection of the x axis (horizontal line) and y axis (vertical line). The point of intersection of these axis is known as the origin. A point can be represented on the coordinate plane using the x and y coordinates.
The x axis is to the left and right of the origin, negative points are to the left of the origin while positive points are to the right of the origin. The y axis is to the up and down of the origin, negative points are to the down of the origin while positive points are to the up of the origin.
A point in the coordinate plane is represented as (x, y).
The location of point (-3,5) is 3 units to the left and 5 units up while point (4, -3) is 4units to the right and 3 units down
At time t ≥ 0, the velocity of a body moving along the s-axis is v = t² -5t +4. When is the body moving backwards
Check comments for multiple choice answers
Answer:
A
Step-by-step explanation:
The velocity of a moving body is given by the equation:
[tex]v=t^2-5t+4 ,\, t\geq0[/tex]
Is the velocity is positive (v>0), then our object will be moving forwards.
And if the velocity is negative (v<0), then our object will be moving backwards.
We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:
[tex]v<0[/tex]
By substitution:
[tex]t^2-5t+4<0[/tex]
Solve. To do so, we can first solve for t and then test values. By factoring:
[tex](t-4)(t-1)=0[/tex]
Zero Product Property:
[tex]t=1, \text{ and } t=4[/tex]
Now, by testing values for t<1, 1<t<4, and t>4, we see that:
[tex]v(0)=4>0,\, v(2)=-2<0,\,\text{ and } v(5)=4>0[/tex]
So, the (only) interval for which v is <0 is the second interval: 1<t<4.
Hence, our answer is A.
Erin wants to equally divide oatmeal bars among 5 friends. If she has 12 bars, how many bars will each friend receive
Answer:
each friend will receive 2 oatmeal bars and their will be 2 leftover.
Step-by-step explanation:
omg please help. make sure you put the product of A, the product of B, and the sum for C. it’s in the picture
Answer:
Product for A = 046
Product for B = 0230
Sum for C = 0.0276
Step-by-step explanation:
We need to multiply the terms and find the answers
First we multiply 2 with 0.23, then we multiply 1 with 0.23
0.23
x 0.12
-------------
046
0230
--------------
.0276
Since there are 2 numbers after decimal in 0.23 and same for 0.12, so we place the decimal so that there are 4 decimal places.
Counting of decimal will start from the units place.
So, Product for A = 046
Product for B = 0230
Sum for C = 0.0276
Mrs. Parker misplaced 10% of her brooches in May. She misplaced
another 10% of her brooches in June but managed to find 10% of the
brooches that she misplaced in May. What percentage of her brooches did she have at the end?
Answer: She has 90% of her brooches at the end
Step-by-step explanation:
If she lost 10% of her brooches then 90% will be left, and another 10% will make it 80% left bus since she managed to find 10% then 10% plus 80% will be 90%.
5.
Complete the table of values for y = -2x + 11.
Please help ❤️
Answer:
In the explanation
Step-by-step explanation:
x = 0, y = -2*0+11=11
x = 1, y = -2*1+11=9
x = 4, y = -2*4+11=3
Hope this helps!
Craig likes to collect video records last year he had 10 records his collection now has 12 records what is the percent increase of his collection
9514 1404 393
Answer:
20%
Step-by-step explanation:
The percentage change in a value is calculated from ...
percent change = ((new value) -(old value))/(old value) × 100%
For your given numbers, this is ...
percent change = (12 -10)/10 × 100% = (2/10)×100% = 20%
Craig's record collection increased by 20%.
Helppppp plsssssss is due at 11:59
Answer:
x = 18
Step-by-step explanation:
Given that m is parallel to m, therefore:
(7x - 7)° = (6x + 11)° (alternate exterior angles are congruent)
Solve for x
7x - 7 = 6x + 11
7x - 6x = 7 + 11
x = 18
Write an equation to represent this word problem.
You do not need to solve.
“2 less than 7 times a number is equal to 4 more than 8 times the number.”
Answer:
2-7X=4+8X
Step-by-step explanation:
What is the solution to the equation x+7/2=5x/3
The solution to the equation is x = 21/4
What is Linear Equation in 1 variable?
The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution
Given data ,
The equation is x + 7/2 = 5x/3
Subtracting 7/2 on both sides , we get
x = 5x/3 - 7/2
x = ( 10x - 21 ) / 6
Multiplying 6 on both sides , we get
6x = 10x - 21
Adding 21 on both sides , we get
6x + 21 = 10x
Subtracting 6x on both sides , we get
4x = 21
Divide by 4 on both sides , we get
x = 21/4
Hence , the solution for x + 7/2 = 5x/3 is x = 21/4
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