Answer:
A) Mark speed = 7mph Annie speed is 1.2miles faster at 8.2mph
B) Mark had sailed ratio to Annie 17.5: 20.5
= 3mph faster in 15 minutes This makes it 12mph faster every 5 hrs
The percentage speed of Mark is 83% of 100% of Annie.
This makes Annie 7% faster
7% of 7mph = 1.2 so it has to be 1.2miles faster and not 12mph faster to meet at 15minutes.
Step-by-step explanation:
Annie is 12mph faster they pass 15mins after departure
= 0-15= Annie is 4mp faster than Mark at 15mins.
Annie = 5 miles = m+60m = 60 this makes mark 5.6 : 6 ratio per 15 minutes 28:30 = 1.4 : 1.5 ratio at 15 minutes.
Mark = 5 miles = 5 x 1.4 =7mph + 0m = 7mph
Annie = 5 miles = 5 x 1.5 = 7.5mph + 7 = 8.2mph
A=We can check that 1/4 of 8.2mph distance = 2.5 per 15mins
M=We can check that 1/4 of 7.0mph distance = 1.75 per 15mins
A=We can check that 2.05 per 15mins = 2.5 x 4 = 8.2 mph = 41miles in 5 hr
M=We cna check that 1.75 per 15mins = 1.7 x 4 x 5= 7mph = 35 miles every 5hr
PLS HELP IF YOU WANT A BRAINLIEST
Jamal performed an experiment flipping a coin. He did 10 trials and then his arm got tired. He recorded his results in the table. Based on the experimental probability, Jamal predicted that the number of times the coin lands heads up will always be greater than the number of times it lands tails up. What is the error in his prediction?
He should have performed fewer trials before comparing them to the theoretical probability.
He did not need to perform the experiment to compare theoretical and experimental probabilities.
He should have subtracted the theoretical probability from the experimental probability.
He did not perform enough trials to compare the theoretical and experimental probabilities.
Answer: um im not really sure what you want here but im pretty sure thats the answer right there, dont know what else to say.
Answer:
He did not perform enough trials to compare the theoretical and experimental probabilities
Jason has been painting pictures every day for the last three months. Which of the following is a statistical question that Jason can be asked?
A.
How many pictures were painted each day for the first month?
B.
Which picture required the maximum amount of time to paint?
C.
What is the total time spent on painting in the last three months?
A statistical question that Jason can be asked is How many pictures were painted each day for the first month .
What is Statistics ?
It is the branch of Mathematics which is used to observe , analyze and predict data.
It has usage in many fields to predict weather , stock prices etc.
It is given that Jason has been painting pictures every day for the last three months
Statistics involve accumulating data of a single event at various occasions
A statistical question that Jason can be asked is How many pictures were painted each day for the first month
As this involves an event of painting a picture and the same work is done daily , The statistical question in this is that no. of painting that are painted each day is asked .
Therefore Option A is the correct answer.
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.4x=.5x-30 solve for x
Answer:
x=300
Step-by-step explanation:
Multiply both sides by 10
0.4x·10=0.5x·10-30·10
Refine
4x=5x-300
Subtract 5x from both sides
4x-5x=5x-300-5x
Simplify
-x=-300
Divided both sides by -1
-x/-1=--300/-1
Simplify this and you will get x=300
Hope this Helps
Find the midpoint given the endpoints (7,-9)
and (-10,8).
Answer:
(-1.5, -0.5)
Step-by-step explanation:
The formula for the midpoint given the endpoints is the following:
[tex](\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})[/tex]
Thus, the x coordinate of the midpoint is -3/2
The y coordinate would be -1/2
Define a polynomial that is a difference of squares. How do you know that it is the difference of squares? How is it factored?
Answer:
Here you go, your equation should look a lot like this:
x²-16 -----> (x+4)(x-4).
Step-by-step explanation:
It's an example of what you should be writing depending on your answer. You did not include any details about your question.
The polynomial that is a difference of squares will be x²-16. It is factored as (x+4)(x-4).
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order. Polynomials are used in management, computer, and math-based occupations. Variables and constants are utilized to define numbers that are known and unknown in expressions in all professions that need proficiency with polynomials.
We have to define a polynomial that is a difference of squares we have to also do factors for that polynomial.
The polynomial that is a difference of squares is found as,
x²-16
Used the below identity in order to factorize the polynomial,
a²-b²=(a+b)(a-b)
16 in its square form is written as 4².
x²-4² = (x+4)(x-4)
Thus, the polynomial that is a difference of squares will be x²-16. It is factored as (x+4)(x-4).
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What equation is the inverse of y=x^2-36
Answer: B .. Y = +- square root X+36
Step-by-step explanation:
Asher built two bookends and wants to paint them. How much paint will he need to cover the surface of both bookends? 468 cm2 576 cm2 936 cm2 1,044 cm2
Asher will need c. 936 cm² of paint to cover both the bookends.
Step-by-step explanation:
Step 1:
To determine the amount of paint needed, we determine the surface area of the triangular prisms.
To calculate the triangular prism's surface area, we calculate the areas of all the 5 sides. We divide the prism into 2 triangles and 3 rectangles, find the areas individually and then sum them all up in order to determine the area of the entire triangular prism.
Step 2:
There are two triangles with base lengths of 9 cm and heights of 12 cm. A triangle's area is half the product of the base length and its height.
Area of 1 triangle = [tex]\frac{1}{2} (9)(12) = 54[/tex] cm².
Area of both triangles = 2× Area of 1 triangle [tex]= 2(54)[/tex] = 108 cm².
Step 3:
There are three rectangles with a common length of 10 cm but there are three different widths. Any rectangle's area is calculated by multiplying the rectangle's length with its width.
Area of a rectangle with width 15 cm [tex]= (10)(15) = 150[/tex] cm².
Area of a rectangle with width 9 cm [tex]= (10)(9) = 90[/tex] cm².
Area of a rectangle with width 12 cm [tex]= (10)(12) = 120[/tex] cm².
Step 4:
The area of the entire triangular prism = Area of 2 triangles + Area of all the 3 rectangles = [tex]108+150+90+120 = 468[/tex] cm².
This is the surface area of 1 bookend. As both the bookends are similar.
The surface area of 2 bookends [tex]= 2(468) = 936[/tex] cm².
Asher will need 936 cm² of paint to cover both the bookends.
Answer:
c
Step-by-step explanation:
ILL GIVE YOU BRAINLIEST? Which number line has a point at -4 1/2?
Answer:
A
Step-by-step explanation:
the number line has a -4 and adds the 1/2
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Find the value of c that makes the expression a perfect square trinomial.
x2 – 15x + c
A) 225/4
B) 225/2
C) 30
D) 225
The value of c that makes the expression x² − 15x + c a perfect square trinomial is obtained by squaring half the coefficient of x, which in this case is 225/4. Therefore option A is the correct answer.
To find the value of c that makes the expression x² − 15x + c a perfect square trinomial, we need to find a value for c such that the trinomial can be expressed as the square of a binomial.
This binomial will have the form (x - h)², where h is half the coefficient of the x term in the original trinomial.
In this case, the coefficient of x is -15.
Half of -15 is -15/2.
Squaring this value will give us c. Thus, (-15/2)² equals 225/4.
The value of c that makes the expression a perfect square trinomial is 225/4.
Every person has blood type O, A, B, or AB. A random group of people are blood-typed, and the results are shown in the table. A 2-column table with 4 rows is shown. The first column is labeled Blood Type with entries O, A, B, AB. The second column is labeled Number of People with entries 22, 20, 6, 2. Use the table to determine the following probabilities. The probability that a randomly chosen person from this group has type B is . The probability that a randomly chosen person from this group has type AB is . The probability that a randomly chosen person from this group has type B or type AB blood is .
Answer:
1 -- 3/25
2 -- 1/25
3 -- 4/24
Step-by-step explanation:
To find the probability of a randomly selected person being in any category, divide the amount of people in that category by the total amount of people.
We can find the total amount of people by adding the amount of people with each blood type.
Total = O + A + B + AB = 22 + 20 + 6 + 2 = 50
There are 50 total people in this group. Now we can find the probability of randomly selecting a person from each category.
Probability of type B
There are 6 people with type B blood. The probability of randomly selecting a person from this group is 6/50, or 3/25.
Probability of type AB
There are 2 people with type AB blood. The probability of randomly selecting a person from this group is 2/50, or 1/25.
Probability of type B or AB
We need to find the amount of people who are in either group. There are 6 people with type B blood and 2 people with type AB blood, so 8 people satisfy this criteria. The probability of randomly selecting a person with type B or AB blood is 8/50, or 4/25.
What is 3x2 + 21x + 18 in factored form?
0
A
3(x + 2)(x + 3)
O
B. 3(x + 6)(x + 1)
0
C. 3(x + 3)(x + 2)
D. 3(x + 1)(x + 2)
Answer:
B
Step-by-step explanation:
Given
3x² + 21x + 18 ← factor out 3 from each term
= 3(x² + 7x + 6) ← factor the quadratic
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 7)
The factors are + 6 and + 1, since
6 × 1 = 6 and 6 + 1 = 7, thus
x² + 7x + 6 = (x + 6)(x + 1)
Thus
3x² + 21x + 18 = 3(x + 6)(x + 1) → B
Jayda takes 3 hours to deliver 189 newspapers on her route. What is the rate per hour at which she delivers the newspapers?
Answer:
63
Step-by-step explanation:
It took 3 hours for her to deliver 189 total.
We need delivery per hour for our answer.
189 / 3 = 63
63 new papers are delivered per hour.
determine the probability of each compound event described. show work.
1. spinning a 3 and rolling a 3
2. spinning an odd number and rolling a 5 or 6
3. spinning an even number and rolling an odd number
4. spinning an even number and rolling an odd number
5. spinning a 3 or 7 and rolling an odd number
Answer:
Spinning a 3 and rolling a 3
Step-by-step explanation:
Susan is going to build a large wooden storage box. The box will be in the shape of a rectangular prism, as shown below. She wants to cover all the sides of the box with special wallpaper that costs 3$ per square foot. How much will the wallpaper cost in total?
Answer:
Where is the rectangular prism.
Step-by-step explanation:
Cannot help to answer this question.
Answer:
We need the prism
Step-by-step explanation:
Where is the prism
Find the volume of a prism. The area of the pentagonal base is (124/tan36°)m² . It’s height is 13 m. If necessary, round your answer to the nearest hundredth.
The volume of the prism is about ____ m ³
The volume of the prism with a pentagonal base area of ([tex]\frac{124}{\tan36^\circ}[/tex])m² and height of 13 m is approximately 2218.73 m³ when rounded to the nearest hundredth.
The volume of a prism is calculated by multiplying the area of the base by the height of the prism. For a prism with a pentagonal base, if the area of the base is ([tex]\frac{124}{\tan36^\circ}[/tex])m² and the prism's height is 13 m, then the volume V is found by the following calculation:
V = area of base × height
V = ([tex]\frac{124}{\tan36^\circ}[/tex]) × 13
First, calculate the numerical value for tan36°:
tan36° ≈ 0.7265
Then plug this value into the formula:
V = (124÷0.7265) × 13
V ≈ 2218.73 m³
The volume of the prism is therefore approximately 2218.73 m³, rounded to the nearest hundredth.
The sides of a triangle are 12 m, 5x m, and 4x m long. (a) Express the perimeter of the triangle in terms of x. (b) Find the perimeter of the triangle when x = 4.
So now (a) Express the perimeter of the triangle in terms of x. and (b) Find the perimeter of the triangle when x = 4.
Answer:
a) 9x + 12
b) 48 m
Step-by-step explanation:
Perimeter is the sum of all sides:
12 + 5x + 4x
12 + 9x
x = 4
12 + 9(4)
48
Question:
Crack the code and
give the missing number:
GOLD = 5
LEAD = 6
SILVER = 8
URANIUM = 11
PLATINUM = ?
Answer:
PLATINUM = 11
Step-by-step explanation:
It appears that the "code" is that vowels count 2 and consonants count 1.
GOLD = 1 for GLD +2 for O = 3+2 = 5
LEAD = 1 for LD +2 for EA = 2 +4 = 6
SILVER = 1 for SLVR +2 for IE = 4 +4 = 8
URANIUM = 1 for RNM +2 for UAIU = 3 +8 = 11
PLATINUM = 1 for PLTNM +2 for AIU = 5 +6 = 11
The missing number is PLATINUM =15
SequenceA sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important.
Crack the code and give the missing numberGiven that, GOLD = 5, LEAD = 6, SILVER = 8, URANIUM = 11, PLATINUM = ? from the given data we can see its in a sequence let say GOLD=5
so adding natural number (1, 2, 3, 4, ...) in the sequence will give next valueGOLD = 5LEAD = 5+1=6SILVER = 6+2=8URANIUM = 8+3=11
therefore, PLATINUM = 11+4=15
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What is the slope of the line through (3, 2) and (-3, 4)?
Answer:
Slope =-1/3
Step-by-step explanation:
(3,2)..... x1 =3, y1=2
(-3,4).... x2=-3, y2 =4
Slope=(y2-y1) /(x2-x1)
Slope=(4-2) /(-3-3)
Slope =2/(-6)
Slope=-1/3
What is the conjugate of 6 + 4i?
Answer:
6+4i
Step-by-step explanation:
the conjugate of a complex number a + bi is the number a- bi
in the question you have to Simplify (y²)³
Answer:
y^6
Step-by-step explanation:
a^b^c = a^(b*c)
We have y^2^3
y^(2*3) = y^6
Answer:
y⁶
Step-by-step explanation:
To simplify, you can multiply the exponents:
y^2*3
y⁶
Write the equation of the graph obtained when the graph of y=1/x is compressed vertically by a factor of 0.25, translated 4 units right, and then translated 3 units up.
Answer: The equation is y = 0.25/(x - 4) + 3
Step-by-step explanation:
If we have a function y = f(x)
A compression means that we multiply the function by a factor smaller than 1.
Then the vertical compression by a factor of 0.25 is:
y = 0.25*f(x)
a translation by A units to the right, means that we need to valuate the function in x - A.
So now we have:
y = 0.25*f(x - 4)
A translation in the y-axis means that we need to add a constant to the equation, then if we tralate it by 3 units up, we have:
y = 0.25*f(x - A) + 3
Then, if f(x) = 1/x
Our new equation is:
y = 0.25/(x - 4) + 3
Answer:
g ( x ) = 0.25 / ( x - 4 ) + 3
Step-by-step explanation:
Solution:-
- The given function is defined as an inverse function:
f ( x ) = 1 / x
- The transformation on the function of f ( x ) are of three kinds. We will use a general form to look at the effect of each transformation.
[tex]f ( x ) --- > g ( x ) = [ \frac{a}{( x +/- b)} ] + c[/tex]
Where a,b, and c are constants for transformation.
- The effect of constant a:
a > 1 ------ > Flattens the graph
0 < a < 1 -------- > Compresses the graph vertically
- The effect of constant b:
b > 0 ------ > Horizontal shift to left
b < 0 -------- > Horizontal shift to right
- The effect of constant c:
c > 0 ------ > Vertical shift up
c < 0 -------- > Vertical shift down
- Now we will determine the result of function after each transformation.
Compressed vertically by a factor of 0.25. Hence, a = 0.25 [ 0 , 1 ]k ( x ) = 0.25 / x
Translated 4 units right. The value of b = -4 , right shift : b < 0.j ( x ) = 0.25 / ( x - 4 )
translated 3 units up. The value of c = 3, up shift. c > 0g ( x ) = 0.25 / ( x - 4 ) + 3
Hence, the resulting function of all the mentioned transformations of original function f ( x ) is given as g ( x ):
g ( x ) = 0.25 / ( x - 4 ) + 3
Miss penny inherits £650. She decides to save some of the money and spend the rest. The ratio of saving to spending money is 9:4
How much does she save and how much does she spend?
Saving = ?
Spending Money = ?
Answer:
Saving=£450
Spent=£200
Step-by-step explanation:
Ratio of saving to spending is 9:4
She inherits £650
So to determine her saving
It will be
9+4=13
Since her saving is 9
So, 9/13 × 650
5850/13
=450
So her saving is£450
To determine what she spent
4/13 × 650
2600/13
200
Saving=£450
Spent=£200
The amount she saves is £450 and the amount she spends is £200.
Step-by-step explanation:
Given,
The amount she has = £650
The ratio of saving to spending money is 9:4
To find the amount she saves and she spends.
Let,
The amount she saves = 9x
The amount she spends = 4x
According to the problem,
9x+4x = 650
or, 13x = 650
or, x = [tex]\frac{650}{13}[/tex] = 50
Hence,
The amount she saves = £50×9 = £450
The amount she spends = £50×4 = £200
Which expression is equivalent to 9 p minus 3 p + 2?
A. 8p
B. 14p
C. 6 p + 2
D. 9 p minus 1
Answer:
c. 6p+2
Step-by-step explanation:
Answer:
C. 6p+ 2
Step-by-step explanation:
9p-3p+2+
=6p+2
You would subtract the 9p and 3p as normal and woud add the 2 at the end.
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Similar triangles ... help?
Answer:
The second answer
XYZ-RQS
Step-by-step explanation:
CVCICLE JUU
Today at snacktime, Kaylee ate 30% of the cookies in the cookie jar. If Kaylee ate 6 cookies, how
many cookies were in the jar before snacktime?
There were cookies in the jar before snacktime.
Answer:
32?I think don't quote me
20 cookies.
100/30 is 3.33(Repeating)
So 3.33(Repeating) x 6 is 20.
How is a relationship determined when looking at a scatterplot?
Answer:
The relationship between two variables is called their correlation The relationship between two variables is called their correlation
Step-by-step explanation:
Answer:
Scatter plots show how much one variable is affected by another. The relationship between two variables is called their correlation . ... The closer the data points come when plotted to making a straight line, the higher the correlation between the two variables, or the stronger the relationship.
Convert the angle \theta=\dfrac{257\pi}{360}θ= 360 257π theta, equals, start fraction, 257, pi, divided by, 360, end fraction radians to degrees. Express your answer exactly. \theta=θ=theta, equals ^\circ ∘
Answer:
[tex]\theta=128.5^{\circ}[/tex]
Step-by-step explanation:
The given angle measure is
[tex]\theta=\dfrac{257\pi}{360}[/tex]
We need to convert the radian measure to degree.
To convert radian to degree, multiply the given measure by [tex]\frac{180^{\circ}}{\pi}[/tex].
[tex]\theta=\dfrac{257\pi}{360}\times \dfrac{180^{\circ}}{\pi}[/tex]
On simplification, we get
[tex]\theta=128.5^{\circ}[/tex]
Hence, the required measure is [tex]\theta=128.5^{\circ}[/tex].
Select the correct answer from each drop-down menu.
Prism M and pyramid N have the same base area and the same height cylinder P and prism Q have the same height and the same base
perimeter. Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.
The figures ——-. and —— have the same volume.
Answer:
Answer: cone Z and cylinder Y
Step-by-step explanation:
Answer:
Correct for plato
A. cone Z
B. cylinder Y
Step-by-step explanation:
The figures cone Z and cylinder Y have the same volume.
Geometry question, someone please help me, it's important
Answer: the answer is 42 degress
Step-by-step explanation: A strait line would equal 180 degress so subtract the angle you know witch is 138 degress to get 42 degress
To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying a $1 for each five-number selection. What is the probability that a person with one combination of the five numbers will win?
What is the probability of winning if 100 different lottery tickets are purchased?
There are 45 numbers out of which 5 numbers are required to win an enormous sum of money
No of ways in which 5 numbers can be selected out of 45 numbers.
[tex]C_{45}^5=\frac{45!}{40!5!} =1221759[/tex]
out of which there is only combination foe contest winning
[tex]P=\frac{1}{1221759}[/tex]
When 100 different tickets are bought then
Probability of winning: [tex]\frac{100}{1221759}[/tex]
Probably of winning≈0,000082
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