Answer:
A = 24.5 square unitsStep-by-step explanation:
[tex]J(-3,\,4)\ \ \implies\ y_J=4\\\\K(4,\,4)\ \ \implies\ y_K=4\\\\y_K=y_J\ \ \implies\ JK\parallel X{-}axis\ \implies\ H=|y_L-y_K|\quad\ \{for\ JK=base\}\\\\H=|-3-4|=|-7|=7\\\\\\ JK\parallel X{-}axis\ \implies\ B=JK=|x_J-x_K|=|-3-4|=7\\\\\\A=\frac12BH\\\\A=\frac12\cdot7\cdot7=24.5[/tex]
A. Write an expression to represent the difference between the two points shown on the number line. B. Find the distance between the two points. [Hint: Remember that distance is always positive.]
Answer:
Step-by-step explanation:
A: The distance is the sum of |-1.6| and 0.3: |-1.6| + 0.3
B. This distance is 1.6 + 0.3 = 0.9
Which value goes in the empty cell?
Answer:
[See Below]
Step-by-step explanation:
If you replace the x with -1 and evaluate the function you get -5.
A box contains 84 chocolates, of which 63 are dark chocolate. The rest are milk chocolates. What is the ratio of milk chocolates to the total number of chocolates in the box?
Answer:
21:84
Step-by-step explanation:
You subtract 63 from 84 and get 21. It then asks to compare it to the total number which it said was 84. It could be represented in a few ways:
21:84
21/84 (fraction)
Answer:
no.of milk chocolates:no. of total chocolate
1 : 4
Step-by-step explanation:
firstly we can take ratio as 21:84 Then, we can simplidy it dividing by 4 as following way,
21 : 84
4 4
then we can get 1 : 4 as the answer.
ASAPPPPP -2.0 * (-3.6)
Answer:
the answer is 7.2
Step-by-step explanation:
Answer:
7.2 or [tex]\frac{36}{5}[/tex]
Step-by-step explanation:
-2.0 * (-3.6) = [tex]\frac{36}{5}[/tex]
[tex]\frac{36}{5}[/tex] = 7.2
it becomes positive becomes two negative numbers are involved
What is the difference written in scientific notation?
Answer:
Step-by-step explanation:Cuando un número se escribe en notación científica, el exponente te dice si el término es un número muy grande o muy pequeño. Un exponente positivo indica un número grande y un exponente negativo indica un número muy pequeño que está entre 0 y 1.
Answer:
Below
Step-by-step explanation:
● 1.3×10^6 - 6.8 × 10^5
● 13 × 10^5 - 6.8 × 10^5
● 10^5 (13 -6.8)
● 6.2 × 10^5
Is the equation (3x^2+2)=9x+4 always, sometimes, or never true? Explain.
always true
Step-by-step explanation:
Assuming that you mean by true that it has solutions
we have
[tex]3x^2-9x-2=0[/tex]
to know if it has real solutions we need to know if
[tex]b^2-4ac[/tex]
is greater, equal or less than zero
if it's greater it's always
if it's equal it's sometimes
if it's less it's never
so
b=-9
a=3
c=-2
[tex](-9)^2-4(3)(-2)\\\\=81+24\\\\=105[/tex]
so it's always
The equation (3x² +2) = 9x + 4 is sometimes true.
What is an equation ?An equation is an mathematical expression stating that left hand side and the right hand side are equal.
The equation (3x² +2) = 9x + 4 is only true for the roots of the formed equation
3x² + 2 = 9x + 4
3x² = 9x + 2
3x² - 9x -2 = 0
∴ x = (3 + [tex]\sqrt{105}[/tex])/2 OR (3 - [tex]\sqrt{105}[/tex])/2
Only for these values of x the equation 3x² + 2 = 9x + 4 are true except these two values it is never true.
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Write an expression for: half of w
2-w
2w
W/2
2/w
Answer:
w/2
Step-by-step explanation:
Calculating half of something is the same as dividing it by 2. In this case, the "something" is w so the answer is w/2.
Enter what that means?
Help someone.
[tex]\frac{x^2}{3}[/tex] is the same as [tex]\frac{1}{3}x^2[/tex]
Dividing by 3 is the same as multiplying by the fraction 1/3
Solve for x. Evaluate and round your answer to 1 decimal place(tenths place). 10x=1200
Answer:
x = 3.1Step-by-step explanation:
[tex] {10}^{x} = 1200[/tex]To solve first take logarithm to both sides
That's
[tex] log_{10}(10) ^{x} = log_{10}(1200) [/tex][tex] log_{10}(10)^{x} = x log_{10}(10) [/tex]But
[tex] log_{10}(10) = 1[/tex]So we have
[tex]x = log_{10}(1200) [/tex]
Write 1200 as a number with the factor 100
That's
1200 = 100 × 12
So we have
[tex]x = log_{10}(100 \times 12) [/tex]Using the rules of logarithms
That's
[tex] log_{a}(x \times y) = log_{a}(x) + log_{a}(y) [/tex]Rewrite the expression
That's
[tex]x = log_{10}(100) + log_{10}(12) [/tex][tex]x = log_{10}(10)^{2} + log_{10}(12) [/tex][tex]x = 2 log_{10}(10) + log_{10}(12) [/tex][tex] log_{10}(10) = 1[/tex][tex]x = 2 + log_{10}(12) [/tex]x = 3.079
So we have the final answer as
x = 3.1 to one decimal placeHope this helps you
CHAIRS A local furniture store sells two versions of the same chair: one for adults, and one for children. Find the value of x such that the chairs are similar.
Adult chair= 18,16
Kid Chair x,12
Answer:
Idek
Step-by-step explanation:
Ya I just need points
Answer:
13.5
Step-by-step explanation:
Use fractions to help. 12/16 = x/18.
12/16 simplifies to 3/4, so now divide 18 by 4 and multiply by 3.
18 / 4 = 4.5
4.5 x 3 = 13.5
[PLEASE ANSWER FAST] A submarine is 150 below sea level while an airplane is 375 above sea level. What is the difference between the height of the submarine and the airplane?
Answer:
525
Step-by-step explanation:
Since the submarine is 150 (you didn't specify the units) below sea level, we can express its position as -150. Therefore, 375 - (-150) = 375 + 150 = 525.
Eileen is trying to test if the function f(x) = x2 + 2x + 5 is even, odd or neither. She produces the following work: f(– x) = (–x)2 + 2(–x) + 5 = x2 – 2x + 5 What conclusion can she reach? f(x) is even f(x) is odd f(x) is neither f(x) is both even and odd
Answer:
f(x) is neither
Step-by-step explanation:
The given function is neither even nor odd. The correct option is B.
What are odd and even functions?When the value of the function is negative after putting the value of the variable negative in the function then the function is odd and if the value of the function is positive after putting the negative value of the variable then the function is even.
Given that Eileen is trying to test if the function f(x) = x² + 2x + 5 is even, odd or neither. She produces the following work: f(– x) = (–x)² + 2(–x) + 5 = x² – 2x + 5.
The function will be solved as below:-
f(x) = x² + 2x + 5
f(– x) = (–x)² + 2(–x) + 5
f(-x) = x² – 2x + 5.
Here the resultant function is not giving any clear information the given function is neither even nor odd. The correct option is B.
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The mapping diagram shows a functional relationship.
Domain
Range
Complete the statements.
f(4) is
f(x) = 4 when x is
و بہادن دا
8
2
3
11
3
4
1
2
Answer:
f(4) is 1/2
f(x)= 4 when x is 8
-4 + (-1) on a number line
Answer:
-5
Step-by-step explanation:
+-=-
-4-1=-5
Two students were asked to use estimation strategies to find a reasonable solution to this question: Heather has four envelopes with money in them. The first has $246, the second has $405, the third has $105, and the fourth has $514. Estimate the total amount of money in the four envelopes. From the choices below, select the student with the more reasonable solution.
Answer:
417 $
b h h h h h h h h h h h h
Scouts of D.P.S Sharjah made to run around a regular hexagonal ground fig 9, of perimeter 270 m .If they started running from point X and covered two fifth (2/5th) of the total distance.Which side of the ground will they reach?
Answer:
Side 3 or side 4
Step-by-step explanation:
The ground has 6 sides
Each side is:
270 m / 6 = 45 mIt is assumed that total distance is one cycle of 270 m.
Since no diagram attached, the start point X is the beginning of side 1.
Then the distance covered is:
270 m * 2/5 = 108 mAs
2*45 m = 90 m < 108 m < 3*45 m = 135 mthe scouts reached the side 3 or side 4 of the ground depending on direction of movement (clockwise vs anti-clockwise)
Give the coordinates of a point on the line whose equation in point-slope form is y − (−3) = 1 4 (x − 9).
Answer:
Below
Step-by-step explanation:
● y -(-3) = (1/4) (x-9)
Replace 1/4 by 0.25 to make it easier
● y + 3 = 0.25(x-9)
● y + 3 = 0.25x - 2.25
Add 3 to both sides
● y +3-3 = 0.25x -2.25-3
● y = 0.25x -5.25
To the coordinates of a point from this line replace x by a value.
The easiest one is 0.
● y = 0.25×0 -5.25
● y = 5.25
5.25 is 21/4
So the coordinates are (0, 21/4)
The coordinate of a point on the line whose equation in point-slope form is y − (−3) = 1/4 (x − 9) is (9, -3)
The equation of a line in point-slope form is expressed as;
[tex](y-y_0)=m(x-x_0)[/tex] where:
m is the slope
[tex](x_0, y_0)[/tex] is the point on the line.
Given the equation in the point-slope form expressed as
[tex]y - (-3) = 1/4 (x - 9)[/tex]
Comparing the general equation with the given equation:
[tex]y_0 = -3\\x_0 = 9[/tex]
Hence the coordinate of a point on the line whose equation in point-slope form is y − (−3) = 1/4 (x − 9) is (9, -3)
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8 = 3а – 4
How do I solve this problem
In a mixture of 60 litres, the ratio of milk to water is 2:1. If this ratio is to be 1:2,then find the quantity of water to be further added.
Answer:
Quantity of milk = 60 x 2/3 litres = 40 litres.
Quantity of water in it = (60- 40) litres = 20 litres.
New ratio = 1 : 2
Let quantity of water to be added further be x litres.
Then, milk : water = 40 /20 + x
Now, 40 /20 + x = 1/2
20 + x = 80
x = 60.
Quantity of water to be added = 60 litres.
Which step is the same when constructing an inscribed square and an inscribed equilateral triangle?
Answer: B.Construct a circle of any arbitrary radius.
Step-by-step explanation:
had to complete the question first.
A.Connect every arc along the circle.
B.Construct a circle of any arbitrary radius.
C.Set the compass width to greater than half the diameter of the circle.
D. Set the compass width to the radius of the circle.
Explanation:
when constructing an inscribed square and an inscribed equilateral triangle, the most important step and which turns out to be same for both procedures is the constructio of of a circle of an arbitrary radius. Because it’s is within this circle both the triangle and square would be drawn. Just their method of construction are different.
An overseas telephone company charges $4 for the first minute of talking and then $0.25 for each additional minute. If a woman spent $13.75 talking on the phone, how many minutes did she talk for?
Answer:
39 minutesStep-by-step explanation:
In this problem we can see that there is a constant/flat rate charge of $4 on every first minute
we can model the cost for calls as
[tex]y= 4+0.25x------1[/tex]
where x is the number of extra minutes spent
given that y = $13.75
We can simply substitute our given values into the equation 1 above and solve for x
[tex]13.75= 4+0.25x\\\\13.75-4= 0.25x\\\\9.75=0.25x[/tex]
Divide both sides by 0.25 to find x
[tex]x= 9.75/0.25\\\\x=39[/tex]
The manager of a factory collected data in order to analyze the relationship between the number of hours of training a worker receives and
the worker's error rate. The line of best fit for the collected data is y=01 -0.005r where x is the number of hours of training a worker
receives and y is the error rate.
What approximate error rate should the manager expect for a worker who receives 6 hours of training
Answer:
The approximate error rate the manager should expect for a worker who receives 6 hours of training is 0.07 error rate
Step-by-step explanation:
The given relation between the number of hours of training a worker receives, x and the worker's error rate y can be presented follows;
y = 0.1 - 0.005·r
Therefore, the approximate error rate the manager should expect for a worker who receives 6 hours of training can be given as follows;
When x = 6 hours, we have
y = 0.1 - 0.005 × 6 = 0.07
The approximate error rate the manager should expect for a worker who receives 6 hours of training is 0.07.
Which is an error rate o 7%
Evaluate (-3) to the power of 4
Answer:
-81
Step-by-step explanation:
Write it out, so it's more clear: [tex]-3^{4}[/tex] Because the base number of the equation (-3) is a negative, we know the answer will be a negativeMultiply -3 by itself 4 times: -3 × 3 × 3 × 3 -3 × 3 × 3 × 3 = -81
Josh weighed cantaloupes he picked from his garden. This line plot shows the cantaloupe weights. What is the total weight of all the cantaloupes that weigh no more than 2 pounds? 712 lb 10 lb 15 lb 20 lb
Answer:
Step-by-step explanation:
From the plot line you have (1x3) + (2x 1 1/4) + (3x 1 1/2) = 10
The total weight of all the cantaloupes that weigh no more than 2 pounds should be 10.
Calculation of the total weight:Since Josh weighed cantaloupes he picked from his garden.
So here the total weight should be like
[tex]= (1\times 3) + (2\times 1\ 1\div 4) + (3\times 1\ 1\div 2)[/tex]
= 10
hence, The total weight of all the cantaloupes that weigh no more than 2 pounds should be 10.
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Find the side of a square, whose area is equal to the area of a rectangle with sides 6.4m and 2.5m. Also find the perimeter of the square.
Answer:
side: 4 metres
perimeter: 16 metres
Step-by-step explanation:
Let's first find the area of this rectangle.
The area of a rectangle is denoted by A = lw, where l is the length and w is the width. Here, the length is l = 6.4 and the width is w = 2.5. Plug these in:
A = lw
A = 6.4 * 2.5 = 16 metres squared
We want to find the side of a square with area 16. Suppose the side length is x. The area of a square is denoted by A = x * x = x², so set this equal to 16:
x² = 16
x = √16 = 4
Thus, the side length is 4 metres.
The perimeter of a square is denoted by P = 4s, where s is the side length.
Here the side length is 4 metres, as we found, so:
P = 4s = 4 * 4 = 16
Hence the perimeter is 16 metres.
2
)
The
population
of
a
town
was
568.
During
that
year
236
persons
migrated
to
it
.
What
is
the
present
population
of
the
Su
town?
Answer:
[tex]\huge \boxed{\mathrm{804}}[/tex]
Step-by-step explanation:
[tex]\sf The \ initial \ population \ of \ the \ town \ was \ 568.[/tex]
[tex]\sf 236 \ migrated \ to \ the \ town.[/tex]
[tex]568+236[/tex]
[tex]=804[/tex]
[tex]\sf The \ present \ population \ of \ the \ town \ is \ 804.[/tex]
Answer:
[tex]\huge\boxed{ 804}[/tex]
Step-by-step explanation:
Prior Population = 568
Added People = 236
Current Population = 568 + 236
=> 804
Which of the following expressions has three factors?
5(p+6)(q-4)
2(7-b)
(d-3)(c+9)
x+y-4
Answer:
5(p + 6)(q - 4)
Step-by-step explanation:
Factors are a set of numbers, alphabets or both that when multiplied would give a certain expression.
The expression with three factors is: 5(p + 6)(q - 4)
So that;
5(p + 6)(q - 4) = (5p + 30)(q - 4)
Then,
(5p + 30)(q - 4) = 5pq - 20p + 30q - 120
Therefore, the factorization of 5pq - 20p + 30q - 120 gives the factors; 5(p + 6)(q - 4).
Answer:
5 (p+6) (q−4)
'
A liter of water contains about (first image) molecules. A certain river discharges about (second image) L of water every second. About how many molecules does the river discharge every minute? Write your answer in scientific notation.
================================================
Work Shown:
1 second = 2.3 * 10^7 liters of water
60*1 second = 60*2.3* 10^7 liters of water
60 seconds = 138 * 10^7 liters of water
1 minute = (1.38 * 10^2) * 10^7 liters of water
1 minute = 1.38 * (10^2*10^7) liters of water
1 minute = 1.38 * 10^(2+7) liters of water
1 minute = 1.38 * 10^9 liters of water
The river discharges 1.38 * 10^9 liters of water per minute.
--------------------------------
1 liter = 3.35 * 10^25 molecules
1.38 * 10^9*1 liter = 1.38 * 10^9*3.35 * 10^25 molecules
1.38 * 10^9 liters = (1.38*3.35) * (10^9*10^25) molecules
1.38 * 10^9 liters = 4.623 * 10^(9+25) molecules
1.38 * 10^9 liters = 4.623 * 10^34 molecules
1 minute = 4.623 * 10^34 molecules
-------------------------------
Every minute, about 4.623 * 10^34 molecules of water are discharged from the river.
Hi... can anyone pls help
Answer: A globe shows all the countries with landmass and water bodies but a map shows only a specific country with its size shape and features .
Step-by-step explanation:
*ANSWER ASAP PLEASE* What is the volume of a hemisphere-shaped coffee if the width of the coffee cup is about 16.51 centimeters? (Use 3.14 for pie)
Answer:
1177.58 cm³
Step-by-step explanation:
The volume of a sphere is given by V = (4/3)πr³. In this case, if the width (diameter) of the cup is 16.51cm, then the radius is 8.255 cm. So the volume of the cup, if it were a sphere, would be:
V = (4/3) * 3.14 * (8.255)³ ≈ 2355.1557 cm³
But since this is a hemisphere (i.e., half a sphere), we cut that value in half to get the volume of the cup:
2355.1557 / 2 ≈ 1177.58 cm³