Answer:
4%
Step-by-step explanation:
We can write the following equation:
20 * (x / 100) + 60 * 0.12 = 80 * 0.10 (Note that since we're writing the percentages as decimals, x% becomes x / 100 as a decimal.)
x / 5 + 7.2 = 8
x / 5 = 0.8
x = 4%
Answer:
Its B. on edge
Step-by-step explanation:
got it right on my test
Eparture time of a car is 0540 hours and it traveled for 45 minutes before it reached its destination. At what time did the car arrived at its destination : *
Answer:
The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6.
Step-by-step explanation:
Departure time = 0540 Hours means 5: 40 am or 40 minutes past 5 in the morning.
Now add 45 mins
Hours : Minutes
5: 40
+ 45
5 : 85
But 1 hour contains 60 minutes so 85 - 60 gives 25 minutes . those 60 minutes = 1 hour are carried over the hours and added .
Hours : Minutes
1
5: 40
+ 45
6 : 25
The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6 in the morning.
two bags and four hats cost $100 in all. three bags and seven hats cost $164 in all. what is the cost of 1 hat?
Answer:
Bags = 22
Hat = 14
22 x 2 = 44
14 x 4 = 56
So the first part is true
3 x 22 = 66
7 x 14 = 98
So the second part is true
14 is the answer
It's trial and error
Step-by-step explanation:
The local ice cream shop offers 3 different types of cones and 15 different flavors of ice cream. How many possible ice cream cones (one scoop) can a customer order? a 40 b 18 c 45 d 35
Answer:
45
Step-by-step explanation:
There are 3 cones and 15 flavors
Multiply the number of cones by the number of flavors
3*15
45
There are 45 possible combinations
what the formula of speed
Answer:
The formula for speed is s=(distance traveled)/(time elapsed)
Answer:
[tex]\huge \boxed{S =\frac{d }{t} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The formula to find speed is as follows:
[tex]\Longrightarrow \ \ \displaystyle \sf speed =\frac{distance \ travelled }{time \ taken}[/tex]
[tex]\Longrightarrow \ \ \displaystyle S =\frac{d }{t}[/tex]
[tex]\rule[225]{225}{2}[/tex]
select the coordinates of two points on the line y = -2
Answer: (0, -2) & (1, -2)
Step-by-step explanation:
There are an infinite number of coordinates on y = -2.
The coordinates can have any x-value, but must have -2 for the y-value.
What the correct answer now
Answer:
14.3
Step-by-step explanation:
first find length of VW
10/sin 119 = VW/ sin 26
VW = 5
angle V = 180 - 119 - 26 = 35
then area = 1/2 ab sin C
1/2 (10)(5) sin 35 = 14.33941.....
ABCD is a square. Square A B C D is shown. A diagonal is drawn from point A to point C. The measure of angle B A C is question mark. What is the measure of angle BAC? 30° 45° 60° 90
Answer:
45°
Step-by-step explanation:
Since the diagonal cuts the square into two triangles, the angles b, a, and , c all add up to 180°. Because the shape is a square we know that one of the angles is right/90° meaning the two remaining angles are 45°. Angles a, and c had the diagonal drawn through so those two angles are each 45° and b is 90°, and since they are asking for bac we know that they want the middle angle, i.e angle A.
Since ABCD is a square, and AC is the diagonal of the square, therefore, the measure of angle BAC would be: B. 45°.
What is a Square?A square is a quadrilateral that has four interior angles of 90 degrees each, and also has four equal sides.The diagonal of a square bisects each vertex of the square into equal halves.Thus, since ABCD is a square, and AC is the diagonal of the square, therefore, the measure of angle BAC would be: B. 45°.
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1. In your own words please describe a Relations vs. Function
2. please describe the mathematical order of operation(photo attached)
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
1. Relations are the set of y (output) and x (input) values that are related. A function is when each input has a relation with one output.
2. The mathematical formula is the formula of Pythagoras theorem. Where the length c (hypotenuse) is equal to the square root of the sum of the legs squared.
Irving cannot remember the correct order of the five digits in his ID number. He does remember that the ID number contains the digits 1, 4, 3, 7, 6. What is the probability that the first three digits of Irving's ID number will all be odd numbers?
Answer: 1/10
Step-by-step explanation:
given:
numbers contained in the i.d
1,4,3,7,6
1. permutations of 5 possible outcome
T = 5
= 5 * 4 * 3 * 2 *1
= 120 times.
2. permutations of 3 odd numbers
( 1,3 and 7 )
T = 3
= 3 * 2 * 1 * 2 * 1
= 12
probability of of first three digits being odd numbers
P = 12 / 120
= 1 / 10
Answer: The probability is 0.10
Step-by-step explanation:
The ID number has five digits, and the digits can be 1, 4, 3, 7 and 6, and I will assume that each digit appears only once.
Then if we want to calculate the probability that the first 3 digits will be odd is:
Suppose that we have 5 slots, we want that in the first two slots to have odd numbers.
In our set, we have only 3 odd numbers {1, 3 and 7}
Then if we want an odd number in the first digit, we have 3 options
If we want an odd number in the second digit, we have two options (because we already selected one in the first selection)
If we want an odd number in the first digit, we have only one option.
For the fourth digit we have one of the two remaining even options, so we have 2 options.
For the fifth digit, we have only one digit.
The number of combinations is equal to the product of the number of options in each selection:
c = 3*2*1*2*1 = 12
Now, the total number of combinations is:
For the first digit we have 5 options
for the second digit we have 4 options.
for the third digit we have 3 options.
for the fourth digit we have 2 options.
for the fifth digit we have 1 options.
The number of combinations is:
C = 5*4*3*2*1 = 120.
Then the probability that the first 3 digits are odd numbers, is equal to the quotient between number of combination that start with 3 odd digits and the total number of combinations:
P = c/C = 12/120 = 0.10
Suppose xy > 0. Describe the points whose coordinates are solutions to the inequality. please answer in detail
Answer
so,if x*y> than zero, we know that neither x nor y can be zero, because anything multiplied by zero is equal to zero. now , we also know, that a negative times a negative is positive, and a positive times a positive times a positive is a positive
Step-by-step explanation:
y=-2x-21 determine the intercepts of the line (,) (,) ASAPPPP
Answer:
x intercept (10.5,0)
y intercept (0, -21)
Step-by-step explanation:
y=-2x-21
there are two intercept for a line
x intercept, the point of given equation of line which lies on x axis.
For x intercept corodinate of y is o
Thus, value x intercept is form (x,0)
putting these value in y=-2x-21, we find x intercept
0=-2x-21
2x = 21
x = 21/2 = 10.5
Thus, x intercept (10.5,0)
Y intercept, the point of given equation of line which lies on y axis.
For Y intercept coordinate of x is o
Thus, value y intercept is form (0,y)
putting these value in y=-2x-21, we find y intercept
y = -2*0 -21
y = -21
Thus, y intercept (0, -21)
Someone plz Help its due now!!! In a histogram, if I have 0-2 does this count everything up to 2, or does this count 2?
Answer:
everything
Step-by-step explanation:
because in statistics we represent data in classes and you can't have a class of one number since the histogram a class has to have limits hope it helps
The factor tree for 3,025 is shown. A factor tree starts with 3,025 at the top. 3,025 branches down to 5 on the left and 605 to the right. 605 branches down to 5 on the left and 121 on the right. 121 branches down to 11 on the left and 11 on the right. What is the simplest form of StartRoot 3,025 EndRoot?
Answer:
(5^2)(11^2)
Step-by-step explanation:
Taking all the factors in the left hand side of the factor tree, we have
5,5,11,11
5 twice
5^2=25
11 twice
11^2=121
The factor of 3,025=(5^2)(11^2)
Alternatively
3025÷5=605
605÷5=121
121÷11=11
11÷11=1
We have prime number 5 as divider twice and prime number 11 as a divider twice
Therefore,
5^2*11^2=3,025
Check
(5^2)(11^2)
=(25)(121)
=3,025
Answer:
c
Step-by-step explanation:
Select all that apply. If x^2+b/ax+c/a=0 ; then: The sum of its roots = -b/a? The difference of its roots =-b/a? The product of its roots = c/a?The division of its roots = c/a? I can select multiple.
Answer:
The first and the thirdStep-by-step explanation:
[tex]x^2+\frac bax+\frac ca=0\\\\ ax^2+bx+c=0\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a}\qquad\quad x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x_1+x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}+\dfrac{-b+\sqrt{b^2-4ac}}{2a}=\dfrac{-2b}{2a}=\dfrac{-b}a\\\\\\x_1\cdot x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}\cdot\dfrac{-b+\sqrt{b^2-4ac}}{2a}=\\\\{}\ \ =\dfrac{b^2-b\sqrt{b^2-4ac}+b\sqrt{b^2-4ac}-(\sqrt{b^2-4ac})^2}{2a}=\dfrac{b^2-(b^2-4ac)}{4a^2}=\\\\{}\ \ =\dfrac{b^2-b^2+4ac}{4a^2}=\dfrac{4ac}{4a^2}=\dfrac{c}{a}[/tex]
[tex]x_1-x_2=\frac{-b-\sqrt{b^2-4ac}}{2a}-\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-2\sqrt{b^2-4ac}}{2a}=\frac{-\sqrt{b^2-4ac}}{a}\\\\\\x_1\div x_2=\frac{-b-\sqrt{b^2-4ac}}{2a}\div\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-b-\sqrt{b^2-4ac}}{2a}\,\cdot\,\frac{2a}{-b+\sqrt{b^2-4ac}}=\\\\=\frac{-b-\sqrt{b^2-4ac}}{-b+\sqrt{b^2-4ac}}=\frac{b+\sqrt{b^2-4ac}}{b-\sqrt{b^2-4ac}}=\frac{b^2+2\sqrt{b^2-4ac}+b^2-4ac}{b^2-b^2+4ac}=\frac{2b^2+2\sqrt{b^2-4ac}-4ac}{4ac}=[/tex]
[tex]=\frac{b^2+\sqrt{b^2-4ac}-2ac}{2ac}[/tex]
An exponential growth function has a base that is____one?
Please help
Answer:
greater than
Step-by-step explanation:
An exponential growth function has a base that is__greater than__one.
If the base is less than one, it will be a decay function.
Note: the above assumes an exponent greater than one as well.
Hi how to solve this simultaneous equation
Answer:
[tex]\large \boxed{\sf \ \ x=\pm8 \ \ or \ \ x=\pm2 \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
First of all, we can assume that x and y are different from 0, as we cannot divide by 0.
And from the first equation we can write y as a function of x as below.
[tex]y=\dfrac{16}{x}[/tex]
And then, we replace it in the second equation to get.
[tex]\dfrac{x}{\frac{16}{x}}+\dfrac{\frac{16}{x}}{x}=\dfrac{17}{4}\\\\<=> \dfrac{x^2}{16}+\dfrac{16}{x^2}=\dfrac{17}{4}\\\\\text{*** We multiply by }16x^2 \text{ both sides ***}\\\\x^4+16*16=\dfrac{17*16}{4}x^2\\\\x^4-68x^2+3600=0\\\\\text{*** The product of the zeroes is 3600 = 64*4 and the sum is 64+4=68 ***}\\\\\text{*** So we can factorise *** }\\\\x^4-64x^2-4x^2+3600=x^2(x^2-64)-4(x^2-64)=(x^2-64)(x^2-4)=0\\\\x^2=64=8^2 \ \ or \ \ x^2=4\\\\x=\pm8 \ \ or \ \ x=\pm2\\[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
[tex] \sqrt[3]{y} = a(c + \frac{1}{x})[/tex]
Greetings from Brasil...
Here we don't have much to go
∛Y = A.(C + 1/X)
∛Y = (AC + A/X)
raising both members to the cube.....
(∛Y)³ = (AC + A/X)³
from Notable Products: (a + b)³ = a³ + 3a²b + 3ab² + b³
Y = (AC)³ + 3(AC)².(A/X) + 3AC(A/X)² + (A/X)³
Y = A³[C³ + (3C²/X) + (3C/X²) + (1/X³)]
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Domain > 0, Range C(x) > 2
Step-by-step explanation:
x is the distance, distance is always large than 0 => x > 0
=> Domain x > 0
Multiply both sides by 0.75
=> 0.75x > 0
Add both sides by 2
=> 0.75x + 2 > 0 + 2
=> 0.75x + 2 > 2
=> Range C(x) = 0.75x + 2 > 2
What the correct answer now
Answer:
388.6 yd²
Step-by-step explanation:
the missing angle in triangle is 180 - 32 - 38 = 110
Law of sines: 31/sin 38 = VT/sin 32
VT = 26.68
area = 1/2ab sinC
A = 1/2 (31)(26.68) sin 110
388.6 yd²
This is probably pretty easy, I could solve all the other ones but I got stuck on this one.
Answer:
78
Step-by-step explanation:
Let x be the score on the next test
We are averaging 6 tests and want an average of 75
( 82+91+38+78+83+x) /6 = 75
Multiply each side by 6
( 82+91+38+78+83+x) = 75*6
( 82+91+38+78+83+x) =450
Combine like terms
x+372 = 450
Subtract 372 from each side
x+372-372 = 450-372
x =78
Find the value of each trigonometric ratio.
SOH CAH TOA
Sin = opp/hyp
Cos = adj/hyp
Tan = opp/adj
7) 21/35 or 3/5
8) 21/20
9) 30/50 or 3/5
10) 40/50 or 4/5
Answer:
[tex]{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
[tex]sin \theta = \frac{opposite}{hypotenuse}[/tex]
[tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex]
[tex]tan \theta = \frac{opposite }{adjacent }[/tex]
[tex]sinX=\frac{21}{35}[/tex]
[tex]tanX=\frac{21}{20}[/tex]
[tex]sinC=\frac{30}{50}[/tex]
[tex]cosC=\frac{40}{50}[/tex]
8³=512 indique o expoente
Which function is graphed below?
Answer:
The answer is f(x) = -sin(x) as you can see in the graph below
Step-by-step explanation:
2 There are x fish in a pond.
Omar puts 5 more fish in the pond.
How many fish are in the pond now?
Answer:
x+5
Step-by-step explanation:
We are adding fish
There were x and then we added 5
There are now
x+5
Answer:
x+5
Step-by-step explanation:
since there are x fish, adding five more would make it x+5
Please answer ASAP. A baseball is hit upward from a platform that is m high at an initial speed of 29m/s. The approximate height of the baseball, h meters, after x seconds is given by the equation: h - 1= -5x^2 + 29x a) determine the time period for which the baseball is higher than 18m. Give the answer to the nearest tenth of a second. Explain your strategy. b) What are the restrictions on the domain and range of the related function?
Answer:
a) about 0.7 seconds to 5.1 seconds.
b) Listed below.
Step-by-step explanation:
h - 1 = -5x^2 + 29x
h = -5x^2 + 29x + 1
a) We will find the amount of time it takes to get to 18 meters.
18 = -5x^2 + 29x + 1
-5x^2 + 29x + 1 = 18
-5x^2 + 29x - 17 = 0
We will then use the quadratic formula to find the answer.
[please ignore the A-hat; that is a bug]
[tex]\frac{-29±\sqrt{29^2 - 4 * -5 * -17} }{2 * -5}[/tex]
= [tex]\frac{-29±\sqrt{841 - 340} }{-10}[/tex]
= [tex]\frac{-29±\sqrt{501} }{-10}[/tex]
= [tex]\frac{-29 ± 22.38302929}{-10}[/tex]
= [tex]\frac{-6.616970714}{-10}[/tex] and [tex]\frac{-51.38302929}{-10}[/tex]
= 0.6616970714 and 5.138302929
So, the time period for which the baseball is higher than 18 metres ranges from about 0.7 seconds to 5.1 seconds.
b) Restrictions on the domain and range of the function are that the domain and range can never be negative, since time cannot be negative, and height cannot be negative. The height cannot exceed the vertex of the parabola, since that is the highest the ball will ever go. It cannot exceed that height since gravity will cause the ball to fall down.
Hope this helps!
Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared?
Answer:
Your answer is correct
Step-by-step explanation:
(2^5/4)² = 4^5/2 = √4^5
The correct answer is option B which is [tex]\sqrt{2^5}[/tex].
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression will be solved as follows:-
[tex]E = ([ 2^{\frac{1}{2}} \times 2^{\frac{3}{4}}])^2\\E = (2^{({\frac{1}{2}+\frac{3}{3}})})^2\\E = (( 2 )^ {\frac{5}{4})}^2 \\E = ( 2 ) ^{\frac{5}{2}}\\E = \sqrt{2^5}[/tex]
Therefore the correct answer is option B which is [tex]\sqrt{2^5}[/tex].
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Plot the image of point D under a dilation about point P with a scale factor of 1/3
Answer:
check the graph below
Step-by-step explanation:
Dilation involves changing the size and position of a point
The image of the dilation is (4,-3)
From the figure, the coordinates of point D and point P are:
[tex]D = (13,2)[/tex]
[tex]P = (1,11)[/tex]
The scale factor of dilation is given as:
[tex]k = \frac{1}{3}[/tex]
The rule of dilation about point P is then calculated as:
[tex](x,y) \to k(x_D - x_P, y_D - y_P)[/tex]
So, we have:
[tex](x,y) \to \frac 13 \times (13 - 1, 2- 11)[/tex]
Simplify
[tex](x,y) \to \frac 13 \times (12, -9)[/tex]
Expand
[tex](x,y) \to (\frac 13 \times 12, -\frac 13 \times9)[/tex]
[tex](x,y) \to (4, -3 )[/tex]
This means that, the image of the dilation is (4,-3)
See attachment for the image of the dilation
Read more about dilation at:
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The FDA recommends that Americans get on average 3,000mg of salt in their daily diet. Suppose that you are interested in testing if Americans' average daily intake is different from 3,000mg. What is the correct null and alternative hypothesis statements?
Answer:
Null hypothesis; H0: μ = 3000
Alternative Hypothesis; Ha: μ ≠ 3000
Step-by-step explanation:
We are told that the FDA recommends that Americans get on average 3,000mg of salt in their daily diet.
Now we want to test this claim of whether Americans truly get an average of 3,000mg of salt in their daily diet.
Thus, the hypotheses is as follows;
Null hypothesis; H0: μ = 3000
Alternative Hypothesis; Ha: μ ≠ 3000
Null hypothesis; H0: μ = 3000
Alternative Hypothesis; Ha: μ ≠ 3000
Calculation of the null and alternative hypothesis:Since
The FDA recommends that Americans get on average 3,000mg of salt in their daily diet.
So, here the hypothesis be like
Null hypothesis; H0: μ = 3000
Alternative Hypothesis; Ha: μ ≠ 3000
Learn more about hypothesis here: https://brainly.com/question/18831983
2.
The roots of the equation x2-3x - m(m + 3) = 0,
where m is a constant, are
(a) m, m + 3
(b) -m, m + 3
(c) m,- (m+3) (d) -m, -(m + 3)
(AI 2011)
Answer:
(b) -m, m + 3
Step-by-step explanation:
x² − 3x − m(m + 3) = 0
x² − 3x = m(m + 3)
x² − 3x + 9/4 = m(m + 3) + 9/4
(x − 3/2)² = m(m + 3) + 9/4
(x − 3/2)² = m² + 3m + 9/4
(x − 3/2)² = (m + 3/2)²
x − 3/2 = ±(m + 3/2)
x − 3/2 = m + 3/2, -m − 3/2
x = m + 3, -m
A small cargo plane currently has 140 pounds of cargo aboard. In addition, n boxes weighing 45 pounds each will be brought aboard. Suppose that the total weight of the cargo on board must be less than p pounds. Using the values and variables given, write an inequality describing this.
Answer:
The inequality that represents this situation is: [tex]140 + 45*n < p[/tex]
Step-by-step explanation:
Since the plane already had 140 pounds on board and "n" boxes will be loaded on it, then the weigh of each box multiplied by the number of box should be the extra cargo on the plane. This extra cargo added to the previous load must be less than the limit of cargo the plane can take as shown below:
[tex]140 + 45*n < p[/tex]