Answer:
Inequality is the answer
Answer: Inequality ✅
Step-by-step explanation:
Hii, do you need to know the answer to your question? No problem!
The answer to your question is "inequality".
An inequality is a number sentence that shows how two or more expressions are not equal.
An example of that is [tex]\sf 4x+4\geqslant3x-5[/tex].
So 4x+4 is greater than or equal to 3x-5, but they're not 100% equal (such is the case in equations).
--
Hope that this helped! Best wishes.
--
The slope of the line below is -2. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on
the y side.
(-2,1)
Answer:
y - 1 = -2(x + 2)
Step-by-step explanation:
The general structure of an equation in point-slope form is:
y - y₁ = m(x - x₁)
In this form, "x" and "y" stand for the values of one point and "x₁" and "y₁" stand for the values of another point. The variable "m" represents the value of the slope. You have been given the values of one point and the slope. When you plug them into the general form, you get this answer:
Point: (-2, 1)
m = -2
y - y₁ = m(x - x₁) <----- Point-slope form
y - y₁ = -2(x - x₁) <----- Plug -2 in "m"
y - 1 = -2(x - (-2)) <----- Plug in values from point
y - 1 = -2(x + 2) <----- Simplify
I need help with this please
2534+? but its not that clear cant understand it
Alex defeated 10 gyms today! She started with four hundred and forty coins and now has five hundred and forty coins
Find the Percent of increase
The percentage increase is 22.72%
How to determine the percentage increase?The given parameters are:
Initial = 440 coins
Final = 540 coins
The percentage increase is calculated as:
%Increase = (Final - Initial)/Initial * 100%
So, we have:
%Increase = (540 - 440)/440 * 100%
Evaluate the difference
%Increase = 100/440 * 100%
Evaluate the quotient
%Increase = 0.2272 * 100%
Evaluate the product
%Increase = 22.72%
Hence, the percentage increase is 22.72%
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The two-way table below shows the number of students in a school who like mathematics and/or physics: Like Mathematics Do Not Like Mathematics Total Like Physics 15 20 35 Do Not Like Physics 5 25 30 Total 20 45 65 How many more students like physics than mathematics? 10 15 20 25
The number of students like physics more than mathematics is 15 , Option B is the correct answer.
What is a Number ?A mathematical way of expressing quantity of a substance is called a Number.
Number of students in a school who like mathematics = 20
Number of students in a school who like physics = 35
number of students in a school who like only physics is 20
number of students who like only Mathematics is 5
the number of students like physics more than mathematics is 20-5 = 15
Therefore Option B is the correct answer.
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Which of the following does the function [tex]y=-4cos(3x)-9[/tex] not have?
a) horizontal translation
b)vertical translation
c)horizontal compression
d)reflection
Answer:
horizontal translation ( this would require an x - k or x+k type of a factor)
Step-by-step explanation:
It DOES have :
vertical due to the -9
horizontal compression due to the 3x
reflection due to the -4
pls tell the answer with explanation, i have finish this hw
Answer:
7 and 8
Step-by-step explanation:
49 - 1 = 48. (1)
48 - 3 = 45. (2)
45 - 5 = 40. (3)
40 - 7 = 33. (4)
33 - 9 = 24. (5)
24 - 11 = 13. (6)
13 - 13 = 0. (7) The answer is 7
64 - 1 = 63. (1)
63 - 3 = 60. (2)
60 - 5 = 55. (3)
55 - 7 = 48. (4)
48 - 9 = 39. (5)
39 - 11 = 28. (6)
28 - 13 = 15. (7)
15 - 15 = 0. (8) the answer is 8
Answer:
Step-by-step explanation:
Finding square root by repeated subtraction method:In this, the given number is subtracted by consecutive odd numbers (1,3,5,7,9.....) till we fer zero at the end. Count the number of steps performed and this number will be square root of the given number.
a) 49
49 -1 = 48 48 - 3 = 4545 - 5 = 4040 - 7 = 3333 - 9 = 2424 - 11 = 1313 - 13 = 0√49 = 7
b) 64
64 - 1 = 6363 - 3 = 6060 - 5 = 5555 - 7 = 4848 -9 = 3939 -11 = 2828 - 13 = 1515 - 15 = 0√64 = 8
If g(x) is the inverse of f(x), what is the value of f(g(2))?
0-6
O-3
02
O 5
Answer:
2
Step-by-step explanation:
When a function and its inverse are composed, the output is equal the input.
Giving my all points away! What is the Value of log5512, when log 2 = 0.3010 and log 3 = 0.4771?
[tex]\\ \rm\Rrightarrow log_5512[/tex]
[tex]\\ \rm\Rrightarrow log_52^9[/tex]
[tex]\\ \rm\Rrightarrow 9log_52[/tex]
Use change of base[tex]\\ \rm\Rrightarrow 9\dfrac{log2}{log5}[/tex]
[tex]\\ \rm\Rrightarrow 3.876[/tex]
If your question is something different let me know by which I can change my answer
Answer:
3.876 (3 d.p.)
Step-by-step explanation:
Given:
[tex]\log_{10}2=0.3010[/tex][tex]\log_{10}3=0.4771[/tex]Please note: The question gives two values of log base 10 which should be used to help find the value of [tex]\log_5512[/tex]
Log Law: Change of Base
[tex]\log_ba=\dfrac{\log_xa}{\log_xb}[/tex]
Change the given expression to log base 10:
[tex]\implies \log_5512=\dfrac{\log_{10}512}{\log_{10}5}[/tex]
Replace 512 with 2⁹, and 5 with 10/2:
[tex]\implies \dfrac{\log_{10}{2^9}}{\log_{10}\frac{10}{2}}[/tex]
[tex]\textsf{Apply the Power Log law}: \quad \log_ax^n=n\log_ax[/tex]
[tex]\implies \dfrac{9\log_{10}{2}}{\log_{10}\frac{10}{2}}[/tex]
[tex]\textsf{Apply the Log Quotient law}: \quad \log_a\frac{x}{y}=\log_ax - \log_ay[/tex]
[tex]\implies \dfrac{9\log_{10}{2}}{\log_{10}10-\log_{10}2}[/tex]
[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]
[tex]\implies \dfrac{9\log_{10}{2}}{1-\log_{10}2}[/tex]
Given:
[tex]\log_{10}2=0.3010[/tex]Substitute this into the expression and simplify:
[tex]\implies \dfrac{9(0.3010)}{1-0.3010}[/tex]
[tex]\implies \dfrac{2.709}{0.699}[/tex]
[tex]\implies 3.876\:(\sf 3\: d.p.)[/tex]
Complete the tasks to subtract the polynomials vertically. (1.3t3 0.4t2 – 24t) – (0.6t2 8 – 18t) what is the additive inverse of the polynomial being subtracted?
The difference of the polynomials is [tex]1.3t^{3}-0.2t^{2}-6t-8[/tex] and the additive inverse of the polynomial being subtracted is [tex]-0.6t^{2} +8+18t[/tex].
The given polynomials are [tex](1.3t^{3}+0.4t^{2} -24t )[/tex] and [tex]0.6t^{2} +8-18t[/tex].
We need to find the additive inverse of the polynomial being subtracted.
What is additive inverse?In mathematics, the additive inverse of a number a is the number that, when added to a yields zero. This number is also known as the opposite, sign change, and negation.
Now, [tex](1.3t^{3}+0.4t^{2} -24t )-(0.6t^{2} +8-18t)[/tex]
[tex]=1.3t^{3}+0.4t^{2}-0.6t^{2}-24t+18t-8[/tex]
[tex]=1.3t^{3}-0.2t^{2}-6t-8[/tex]
The additive inverse of the polynomial being subtracted is [tex]-0.6t^{2} +8+18t[/tex].
Therefore, the difference of the polynomials is [tex]1.3t^{3}-0.2t^{2}-6t-8[/tex] and the additive inverse of the polynomial being subtracted is [tex]-0.6t^{2} +8+18t[/tex].
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A car manufacturer has parked some new cars in 2 car parks.In the first car park there are 60 cars in the ratio 1 red car for every 2 blue cars and 3 silver cars.In the second car park there are 80 cars in the ratio 2 blue cars for every 3 red cars and 5 silver cars.
11. How many red cars are there altogether?
12.How many blue cars are there altogether?
13.How many silver cars are there together?
(PLS BE FAST!!)
The number of red car altogether is 34
The number of blue cars altogether is 36
The number of silver car altogether 70
How to use the ratio to find the number of cars?The car manufacturer has parked some cars in 2 car parks .
The first car park has 60 cars.
In the ratio 1 :2:3
Therefore,
red car = 1 / 6 × 60 = 10 cars
blue car = 2 / 6 × 60 = 20 cars
Silver car = 60 - 30 = 30 cars
The second car park has 80 cars.
The ratio are
In the ratio 3:2 5
Therefore,
red cars = 3 / 10 ×80 = 24
blue cars = 2 / 10 × 80 = 16
silver cars = 5 / 10 × 80 = 40
Therefore,
The number of red car altogether is 24 + 10 = 34 red car
The number of blue cars altogether is 20 + 16 = 36 blue cars
The number of silver car altogether is 30 + 40 = 70 silver cars
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What is m∠C?
Enter your answer in the box.
Answer:
60
Step-by-step explanation:
Total degree of triangle interior angles is 180
So x+2x+3x=180
6x=180
x=30
Measurement of angle C is 2x which is 60 degree
What value of k makes the equation true? (5a^2n^3(6a^kb)=30a^6b^4
An equation is formed when two equal expressions. The value of k that makes the equation true is 4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The value of k that will make the equation true is,
[tex]5a^2b^3(6a^kb)=30a^6b^4\\\\30\ a^{(2+k)}\ b^{(3+1)} = 30\ a^6\ b^4\\\\30\ a^{(2+k)} \ b^4 = 30\ a^6\ b^4\\\\a^{(2+k)} =a^6\\\\2+k = 6 \\\\ k = 4[/tex]
Hence, The value of k that makes the equation true is 4.
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What is an important similarity between the uniform and normal probability distributions?
The important similarity between the uniform and normal probability distributions is that the mean and the median of both distributions are equal
How to determine the important similarity?In a normal probability distribution, we have:
Mean = Median
In a uniform probability distribution, we have:
Mean = Median
This means that:
In both distributions, the mean and the median are equal
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Please help!
Find m<1
1
60°
63°
Answer:
i think 150 degrees
Step-by-step explanation:
the 30° angle and ∠1 are a linear pair, and are supplementary. therefore they add up to 180°
∠1 + 30° = 180°
the answer choices is A. x B. z C. w D.y pls help me, I greatly appreciate all the help I'm getting
The graphed that represents the new function with the same slope and y-intercept is: graph Y.
What is the Slope and Y-intercept of a Function?Slope = rise/run along a line.
Y-intercept is the y-value of the point on the y-axis that the line intercepts.
Slope of the function given = rise/run = 2/1 = 2
2 multiplied by 1/2 = 2/2 = 1.
Y-intercept of the given function is: 1
1 increased by 3 units is: 1 + 3 = 4
The slope of graph Y = rise/run = 2/2/ = 1
The y-intercept is also 4
Therefore, the answer is: Graph Y
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p varies jointly as q and the square of r, and p = 200 when q = 2 and r = 3. Find p when q = 5 and r= 2.
Step-by-step explanation:
If a variables varies jointly, we can just divide it by the other variables in relation to it.
For example, since p variables jointly as q and square of r, then
[tex] \frac{p}{q {r}^{2} } = k[/tex]
where k is a constant
First, let find k. Substitute p= 200
q= 2, and r=3.
[tex] \frac{200}{2(3) {}^{2} } = k[/tex]
[tex] \frac{200}{18} = k[/tex]
[tex] \frac{100}{9} = k[/tex]
Now, since we know our constant, let find p.
[tex] \frac{p}{q {r}^{2} } = \frac{100}{9} [/tex]
Q is 5, and r is 2.
[tex] \frac{p}{5( {2}^{2}) } = \frac{100}{9} [/tex]
[tex] \frac{p}{20} = \frac{100}{9} [/tex]
[tex]p = \frac{2000}{9} [/tex]
what is the explict formula for this sequence 5, 10, 20, 40, 80, 160, ...
Step-by-step explanation:
as we see in the sequence, each term is twice of the previous term.
we mark the Nth as a(N), then:
a(N)=2a(N-1)
Answer:
[tex]a_{n}[/tex] = 5[tex](2)^{n-1}[/tex]
Step-by-step explanation:
there is a common ratio between consecutive terms , that is
10 ÷ 5 = 20 ÷ 10 = 40 ÷ 20 = 80 ÷ 40 = 2
this indicates the sequence is geometric with explicit formula
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 5 and r = 2 , then
[tex]a_{n}[/tex] = 5 [tex](2)^{n-1}[/tex]
Point T is located at (6, –2) and point S is located at (1, 13). What are the coordinates of the point that is `\frac{4}{5}` of the way from T to S?
The coordinates of the point that is 4/5 of the way from T to S is (2,10)
How to determine the coordinates of the point?The given parameters are:
T = (6,-2)
S = (1,13)
Location = 4/5
The location 4/5 means
Ratio, m : n = 4 : 1
The coordinate is then calculated as:
[tex](x,y) = \frac{1}{m +n} * (mx_2 + nx_1,my_2 + ny_1)[/tex]
This gives
[tex](x,y) = \frac{1}{4 +1} * (4 * 1 + 1 * 6 , 4 * 13 + 1 * -2)[/tex]
Evaluate
[tex](x,y) = \frac{1}{5} * (10 , 50)[/tex]
This gives
(x,y) = (2,10)
Hence, the coordinates of the point that is 4/5 of the way from T to S is (2,10)
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In the diagram below, AB is parallel to Co What is the value of y?
Answer:
D
Step-by-step explanation:
interior angles = 180
180-72
Measure the height of the palm tree indirectly using a mirror that is placed on the ground a certain distance away from the tree. The distance from the
mirror to the base of the palm tree is 2.5 m and the distance from the mirror to the person's foot is 0.5 m. The person is 1.78 m tall.
Answer:
(b) 8.9 m
Step-by-step explanation:
The mirror ensures that angle 1 is congruent to angle 2, so the triangles in the diagram are similar. The ratios of height to mirror distance are proportional.
__
setupThe height of the object is proportional to its distance from the mirror, so we have ...
(tree height)/(tree-to-mirror) = (person height)/(person-to-mirror)
(tree height)/(2.5 m) = (1.78 m)/(0.5 m)
solutionMultiplying this proportion by 2.5 m, we find ...
tree height = (2.5 m)(1.78/0.5) = 8.9 m
The height of the palm tree is 8.9 meters.
halp
What is the relationship between \blueD{\angle a}∠astart color #11accd, angle, a, end color #11accd and \greenD{\angle b}∠bstart color #1fab54, angle, b, end color #1fab54?
Answer:
D. None of the above.
Step-by-step explanation:
Supplementary angles must add up to 180 degrees.
Complementary angles must add up to 90 degrees.
Vertical angles are opposite of each other.
Hope this helps!
If not, I am sorry.
Drag each response to the correct location on the table. Each response can be used more than once, but not all responses will be used.
Consider the two exponential equations shown. Identify the attributes for each equation to complete the table.
8.9%
250 89%
W
40 =
Decay
250 (0.89)
Initial Value::
Growth or Decay::
Growth/Decay Rate::
11%
F
40
Growth
250 =
111%
40(1.11)
Initial Value:
Growth or Decay:
Growth/Decay Rate::
The equation is y = 250(0.89)^x and the decay rate is 11%.
How to calculate the values?The initial value will be:
= 250(0.89)^x
= 250(0.89^0)
= 250
The decay rate will be:
= 1 - 0.89
= 0.11
= 11%
In conclusion, the equation is y = 250(0.89)^x and the decay rate is 11%.
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Emily invests £150,000 in a savings account offering a compound interest rate of 2.4% per annum for 4 years. Work out the amount of interest Emily earns over 4 years. Emily invests £ 150,000 in a savings account offering a compound interest rate of 2.4 % per annum for 4 years . Work out the amount of interest Emily earns over 4 years .
14926.74417
Step-by-step explanation:
Based on the given conditions, formulate:
150000 ((2.4% +1)4-1)
Evaluate the equation/expression: 14926 14926.74417 get the result:14926.74417 Answer: 14926.74417
if it is helpfulthe mark me brainliest pls
Can I get some help with this please?
Answer:
c =2.5
Step-by-step explanation
1.5×1.5=2.25
2×2=4
4+2.25=6.25
√6.25=2.5
c=2.5
Someone please help with this !!!!!
Answer:
[tex]5^{\circ}[/tex]
Step-by-step explanation:
[tex]~~~~~~~\tan \theta = \cot 85^{\circ}\\\\\implies \tan \theta = \tan\left(90^{\circ} - 85^{\circ} \right)\\\\\implies \tan \theta = \tan 5^{\circ}\\\\\implies \theta = 5^{\circ}[/tex]
Question 2(10 pos
A football quarterback has 2 more chances to throw a touchdown before his team is forced to punt the ball. He mates the receiver the first trew of the time When his fest throw is incomplete he misses the receiver on the second throw 10% of the tame What is the probability of not throwing me ball to a receiver on either throw?
The chance of not throwing the ball to a receiver on either throw is 0.0375, or 3.75 per cent.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
This is event A when he misses the first throw. P(A) = 25%, or 0.25 Because event B takes place only after event A. When he misses on the second throw, event B occurs. P(B/A) = 15% or 0.15
P(A[tex]\cap[/tex]B) = P(A) P(B/A) P(A[tex]\cap[/tex]B)
P(A[tex]\cap[/tex]B) = (0.25)x(0.15) P(ANB)
P(A[tex]\cap[/tex]B) = 0.0375
Therefore the chance of not throwing the ball to a receiver on either throw is 0.0375, or 3.75 per cent.
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what is the angle between a=7i+3j and b=4i-j
[tex]a\cdot b=(7)(4)+(3)(-1)=25\\\\|a|=\sqrt{7^{2}+3^{2}}=\sqrt{58}\\\\|b|=\sqrt{4^{2}+(-1)^{2}}=\sqrt{17}\\\\\cos \theta=\frac{25}{\sqrt{58}\sqrt{17}}\\\\\theta=\cos^{-1} \left(\frac{25}{\sqrt{58}\sqrt{17}} \right) \approx 37.235^{\circ}[/tex]
Describe and correct the error in solving the absolute value inequality.
The steps are shown below: -5<x<1
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
|x +2 | <-3
If we take the module is positive,
x+2 -2 < -3-2
x < -5
If we take the module is negative,
-( x+2) < -3
-x -2 < -3
-x -2 +2 < -3 +2
-x< -1
x>1
Combining the inequalities,
-5<x<1
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Which of the following is equivalent to the logarithmic equation below? in x=3
please I need step by step solution of this question
The value of the expression will be 2. Then the correct option is B.
The complete question is given below.
What is the limit?The value that approaches the output for the given input value. Limits are a very important tool in calculus.
The expression is given below.
[tex]\rightarrow \displaystyle \lim_{x \to 0}\dfrac{\cos x \ \tan 2x}{x}[/tex]
Then the value of the expression will be
Applying L'hospital rule, then we have
[tex]\rightarrow \displaystyle \lim_{x \to 0}\dfrac{\dfrac{d}{dx} \cos x \ \tan 2x}{\dfrac{d}{dx}x}\\\\\\\\\rightarrow \displaystyle \lim_{x \to 0}\dfrac{2 \cos x \sec^2 2x - \sin x \ \tan 2x}{1}\\[/tex]
Put the limit, then we have
⇒ 2 × cos 0 × sec² (2 × 0) – sin 0 × tan (2 × 0)
⇒ 2 × 1 × 1 – 0
⇒ 2
Then the correct option is B.
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