Answer:
-3/2
Step-by-step explanation:
First, you divide by taking the reciprocal of -2/5 which is -5/2.
Second, you get the answer which is -5/4.
Add that with -1/4 and you will get -6/4.
Simplify to get the answer which is -3/2.
Answer:
[tex]-\dfrac{3}{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{\dfrac{1}{2}}{-\dfrac{2}{5}}+\left(-\dfrac{1}{4}\right)[/tex]
To divide fractions, flip the second fraction (make the numerator the denominator, and the denominator the numerator) then multiply it by the first fraction:
[tex]\implies \dfrac{1}{2} \times -\dfrac{5}{2}+\left(-\dfrac{1}{4}\right)[/tex]
To multiply the fractions, multiply the numerators and multiply the denominators:
[tex]\implies \dfrac{1 \times (-5)}{2 \times 2} +\left(-\dfrac{1}{4}\right)[/tex]
[tex]\implies -\dfrac{5}{4} +\left(-\dfrac{1}{4}\right)[/tex]
Apply the rule -a + (-b) = -a - b :
[tex]\implies -\dfrac{5}{4} -\dfrac{1}{4}[/tex]
As the denominators are the same, subtract the numerators and put the answer over the same denominator:
[tex]\implies \dfrac{-5-1}{4}[/tex]
[tex]\implies -\dfrac{6}{4}[/tex]
Simplify by dividing the numerator and denominator by the highest common factor:
[tex]\implies -\dfrac{6 \div 2}{4 \div 2}[/tex]
[tex]\implies -\dfrac{3}{2}[/tex]
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°
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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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
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.
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
This is from the last question
Answer:
huh
Step-by-step explanation:
what are you trying to figure out-
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]
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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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]
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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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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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
The presence of a midpoint will result in what type of segments?
Answer: two congruent segments.
Step-by-step explanation:
idlk im not smart
Which of the following is equivalent to the logarithmic equation below? in x=3
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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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.
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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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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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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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
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]
Based on an architectural drawing, a roof slopes to a drain along the function represented in the table that defines the edge of slope, where x is the horizontal distance in feet and f(x) is the vertical distance in feet.
If the drain is at the minimum point, how far is it from the wall defined by the y-axis?
0 feet
8 feet
80 feet
160 feet
The distance from the wall defined by the y-axis will be 8 feet. Then the correct option is B.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The table is given below.
Then the equation of the line will be
(y – 8) = [(8 – 6) / (0 – 20)](x – 0)
y = -0.1x + 8
If the drain is at the minimum point.
Then the distance from the wall defined by the y-axis will be 8 feet.
Then the correct option is B.
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Please help very urgent I’m on a time limit and I need the answer this is a test
An isosceles triangle is one with two equal-length sides. The value of l is 8 ft.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
In the given image it can be observed except 140° angle, the other two angles are congruent to each other which means the triangle is an isosceles triangle.
As per the base angle theorem in an isosceles triangle the sides opposite to the congruent triangle are equal therefore, the length of side l will be 8 ft as well.
Hence, the value of l is 8 ft.
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I need help with this please
2534+? but its not that clear cant understand it
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
What is the probability that a random chosen male voter is a registered Democrat? Round your answer to the nearest tenth of a percent.
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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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
Trout Street and Salmon Street are the same distance from the boardwalk to the intersection of 1st Street, Trout Street, and Salmon Street as shown in the diagram. Abby walks down 1st Street and stops when she reaches the boardwalk.
How far of a walk does she have to get to Trout Street?
Abby's walk to Trout Street is _______ yards.
Answer:
800
Step-by-step explanation:
I did it on the test
Answer:
800
Step-by-step explanation:
I just fifnished test