[tex]\boxed{\sf a(b+c)=ab+bc}[/tex]
[tex]\\ \rm\longmapsto 10(x+5)[/tex]
[tex]\\ \rm\longmapsto 10x+10(5)[/tex]
[tex]\\ \rm\longmapsto 10x+50[/tex]
Consider f(x)=4x and g(x) = square root of x^2-1 and h(x)= square root of 16x-1
f(x) = 4x
g(x) =
[tex] \sqrt{x^{2} \: - \: 1 } [/tex]
h(x) =
[tex] \sqrt{16x \: - \: 1} [/tex]
We want to check if h(x) = g(f(x))
So g(f(x)) =
[tex] \sqrt{(4x) {}^{2} - \: 1} [/tex]
Simplified;
g(f(x)) =
[tex] \sqrt{16x {}^{2} \: - \: 1 } [/tex]
But h(x) =
[tex] \sqrt{16x \: - \: 1} [/tex]
Hence g(f(x)) is not equal to h(x)
Please help me! I need details please!
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with a mass of 4 kg, the acceleration of the object is 7 m/s 2. When the same force acts upon another object, it’s acceleration is 2 m/s. What is the mass of this object
First:
F=m.a
=4*7
=28N
Second:
F=m.a
28=m.2. (force is constant,so F=28N)
28/2=m
m=14kg.
Answer:
First:
F=m.a
=4*7
=28N
Second:
F=m.a
28=m.2. (force is constant,so F=28N)
28/2=m
m=14kg.
which real number lies farther from 0 on the real number line -15 or 10? Explain
Answer:
-15
Step-by-step explanation:
-15 because it's 15 units left from the origin or 0 while 10 is 10 units right from the origin or 0
Im giving all my points please help.
The weight of laboratory butterflies follows a Normal distribution, with a mean of 50 grams and a standard deviation of 3 grams. What percentage of the butterflies weigh between 47 grams and 53 grams?
99.7%
95%
68%
47.5%
34%
Answer:
68%
Step-by-step explanation:
please mark me brainliest
Answer: C
Hello,
Step-by-step explanation:
[tex]\overline{x}=50,\ \sigma=3,\ z=\dfrac{x-50}{3} \\\\p(47\leq x \leq 53)=p(\dfrac{47-50}{3} \leq z \leq \dfrac{53-50}{3} )=p(-1\leq z \leq 1)\\\\p(z\leq 1)=0.8413\ (in\ table)\\\\p(z\geq 1)=p(z\leq 1)=1-0.8413=0.1587\\\\p(-1\leq z \leq 1)=0.8413-01587=0.6826\\[/tex]
p≈68%
Answer C
Use the diagram to the right.
If AD = 17 and AC = 2y - 6, find the value of y. Then find AC
and DC.
Step-by-step explanation:
if AD =17,then Dc is also 17 because from the diagram,it is given that AD=DC.
And because AD and DC are equal,it means AC = AD +DC,therefore AC = 17+17,AC =34
AC=2y-6
therefore
34=2y-6
28=2y and y=14
Answer:
Step-by-step explanation:
Daria needs to fill 4 gift baskets equally with bags of candy and boxes of cookies. She has 12 bags of candy and 8 boxes of cookies and wants to give all of them away.
Which expression should be used to determine the total number of bags of candy and boxes of cookies she will place in each basket?
(A) (12 + 8) * 4
(B) 12 + (8 divided by 4)
(C) (12 divided by 4) + (8 divided by 4)
(D) (12 + 8) divided by (8 + 12)
Answer:
(C) (12 divided by 4) + (8 divided by 4)Step-by-step explanation:
(12 ÷ 4) + (8 ÷ 4) = ?3 + 2 = ?5• Therefore, each gift basket have 5 total numbers of candies and cookies combined.• Therefore, each gift basket have 3 candies and 2 cookies.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
B Which expression is equivalent to -5 × 4?
Answer: A
Step-by-step explanation:
-5+-5+-5+-5=-20
-4+-4+-4+-4=-16
5+5+5+5+5=25
4+4+4+4+4=20
The questions asks for -5 x 4 = -20
Find the approximate area of the quadrilateral with the given coordinates A(0, 4), B(5, 2), C(3, -3) and D(-2, -1)
Answer:b
Step-by-step explanation:
The area of the quadrilateral with the given coordinates is 27 square units.
The coordinates of the quadrilateral are A(0, 4), B(5, 2), C(3, -3) and D(-2, -1).
We need to find the area of the quadrilateral with the given coordinates.
What is the formula to find the area of the quadrilateral with coordinates?The formula to find the area of the quadrilateral with coordinates ( x₀, y₀ ), ( x₁, y₁ ), ( x₂, y₂ ), ( x₃, y₃ ) is (1/2) × ( x₀y₁ - x₁y₀ + x₁y₂ - x₂y₁ + x₂y₃ - x₃y₂ + x₃y₀ - x₀y₃ ).
Now, Area=1/2×(0×2-5×4+5×(-3)-3×2+3×(-1)-(-2)×(-3)+(-2)×4-0×(-1))
=1/2×|(-20-15-6-3-6-8)|=27 square units.
Therefore, the area of the quadrilateral with the given coordinates is 27 square units.
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8. The cost of 25 pens is Rs.250. find the cost of 30 pens.
Answer:
Cost of 25 pens = Rs 250
Cost of 1 pens = Rs 250/25
= Rs 10
Cost of 30 pens = Rs 30×10
=Rs 300
Hope it helps you.Solve for the value of r.
(7r-5)
(6r+4)°
Answer:
r = 9
Step-by-step explanation:
These are vertical angles, therefore, the measurements is the same. Set the two measurements equal to each other:
7r - 5 = 6r + 4
Isolate the variable, r. Note the equal sign, what you do to one side, you do to the other. Add 5 and subtract 6r from both sides of the equation:
7r (-6r) - 5 (+5) = 6r (-6r) + 4 (+5)
7r - 6r = 4 + 5
Simplify:
7r - 6r = 4 + 5
r = 9
9 is your value for r.
~
Which expresses 0.025 as a percent?
A- 0.025%
B- 2.5%
C- 0.0025%
D- 0.25%
Answer:
a is the answer I'm 1000% sure
Ramita sold a face wash cream for RS 550and made a profit of 10
percent. If Rita had sold it for Rs495,what would be her loss percent
Step-by-step explanation:
it's answer is I think 5000
Which number is divisible by 10? 41 128 104 120
2n + n/9 = 9
What is n?
[ the equation is in the box I drew]
Answer:
n = 27
Step-by-step explanation:
(2n + 9) / 9 = 9
multiply both sides by 9
3n = 81
/3 /3
-------------
n = 27
Answer:
n = 27
Step-by-step explanation:
(2n + n)÷9 = 9
multiply both side by 9
(2n + n) = 81
3n = 81
Divide both sides by 3
3n/3 = 81/3
n = 27
multiply 18/-57 and 7/6
Answer:
-7/19
Step-by-step explanation:
First simplify the fractions. 18/-57= -6/19.
-6/19x7/6=-42/114
-42/114=-7/19
I hope this helps! I also put it into an online calculator to make sure it is right and it is!
at what point do the increasing and decreasing parts of the graphs in Part A intersect?
The angles below form a linear pair. What is the measure of angle ABC
Answer:
132
Step-by-step explanation:
A linear pair adds to 180
<ABC + <CBD = 180
<ABC + 48 = 180
<ABC = 180-48
<ABC =132
Simplify (3x-1)(x+3)
Answer:
3x 2 +8x−3
Step-by-step explanation:
Answer:
3x^2+8x-3
Step-by-step explanation:
That should be the right answer but don't quote me on it.
4w-41 = -7(w-2) Simplify your answer as much as possible.
Answer:
w = -13
Step-by-step explanation:
4w - 41 = 7(w-2)
Open the bracket
4w -41 = 7w -14
Collect like terms
4w - 7w = 41 - 14
-3w = 27.
Divide both side by -3
w = -9
Answer: w = 5
Step-by-step explanation:
4w-41=-7w+14
4w+7w=14+41
11w=55
W = 55/11
W = 5
X to the 3rd power= 64/343
Answer:
x = 4/7
Step-by-step explanation:
x^3 = 64/ 343 // - 64/ 343
x^3 - ( 64/ 343 ) = 0
x^3 - 64 / 343 = 0
1*x^3 = 64/ 343 // : 1
x^3 = 64/ 343
x^3 = 64/ 343 // ^ 1/3
x = 4/ 7
Graph
1
8
on the number line.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The point is located 1/8 of the distance from 0 to 1. When the space between 0 and 1 is divided into 8 equal parts, 1/8 is located after the first space, nearest zero.
4v + 1) + v = 5(v - 1) +9
Answer:
Step-by-step explanation:
4(v+1)+v=5(v-1)+9
distribute
4v+4+v
which is
5v+4=5v-5+9
5v+4=5v+4
No solution is the answer
What is $2088.523125 Rounded to the nearest dollar?
9514 1404 393
Answer:
$2089
Step-by-step explanation:
One way to do this rounding is to add $0.50, then drop all of the fractional digits.
$2088.523125 + 0.50 = $2089.023125
Dropping all of the digits right of the decimal point gives $2089.
5 7/8 divide by 3 1/6=
Answer:
1 65/76
Step-by-step explanation:
Robins 15 18 27 30 cardinals 5 6 9 10 what’s the proportionality ratio of robins to cardinals
Answer:
3:1
Step-by-step explanation:
The Robins' numbers are 3 times the cardinal's numbers, so therefore when simplified, the ratio is 3 to 1, 3:1, or 3/1.
Simplify the following expression and show your work in details please .
Answer:
= -2
Step-by-step explanation:
6t + 3 (1 - 2t) - 5
= 6t + 3 - 6t - 5
6t and -6t cross out as they equal 0, so we are left with only +3 and -5
+3 - 5 = -2
= -2 ---> final solution
Could someone please solve this using a^2+b^2=c^2
Step-by-step explanation:
it is shown in the above process.
hope you understand
Little six-year-old Suzy is playing an innocent game in her back yard. She mixes an alloy containing 14% silver with an alloy containing 24% silver to create 50 kg of an alloy with 18% silver. How many kilograms of each alloy did little Suzy use? a)
Define the variables.
solve the problem
What is the value of 3 in 18.93?
The value of 3 in the number 18.93 is 0.03.
hundredths placeHow to determine the value of 3 in 18.93In the number 18.93, the digit 3 has a place value of hundredths. Therefore, its value is 0.03.
To break it down:
The digit 3 is in the hundredths place.
The digit 9 is in the tenths place, representing 9 tenths or 0.9.
The digit 8 is in the units place, representing a whole.
The digit 1 is in the tens place representing 10
Adding up these values, we get:
10.00 + 8.00 + 0.90 + 0.03 = 18.93
So, the value of 3 in 18.93 is 0.03.
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