Answer:
It would take 675.2809 days or 675.3 days
Step-by-step explanation:
first you simplify your equations if possible which you can here.
6.01×10^8=601,000,000 8.9×10^5=890,000
Then you are going to divide 601,000,000 by 890,000 or you cancel the zeros and then divide (your choice)
601,000,000/980,000
You can cancel out the zeros that both share so you'll be left with
60,100/89
then you divide and you get
675.2809
or you can round to the nearest tenth and you get
675.3
The number p and −1.2 are additive inverses. Drag and drop −1.2 and p to their correct positions on the number line. Drag and drop the label “Sum” to the sum of −1.2 and p
Answer:
p=1.2
Step-by-step explanation:
Additive inverse of any number means a number which can be added to the original number to get
Two numbers are said to be additive inverse of each other if sum of both numbers is 0. For example if 5 is the given number then -5 will be it's additive inverse. So to find additive inverse, we basically change the sign of number.
Given number p is additive inverse off -1.2 so p must be 1.2.
Sum will obviously be 0.
So to graph them on number line, we make a point at -1.2, 1.2 and at 0 for their sum.
Answer:P=1.2
Step-by-step explanation:
What is the slope of this line
What is the value of x in the equation 2x + 3y = 36, when y = 6?
8
9
27
36
THE ANSWER IS.......
Answer:
x=9
Step-by-step explanation:
2x+3y =36
We know y =6, so we can substitute this into the equation
2x+ 3(6) = 36
2x+18 = 36
Subtract 18 from each side
2x+18-18 = 36-18
2x =18
Divide each side by 2
2x/2 =18/2
x=9
I really like that you put the answer out there for other people. that's pretty cool! B) 9
during a hoagie sale fundraiser a ski club sold 42 Italian hoagies and 53 roasted beef Hoagies what is the ratio of Italian hoagie sold to the total number of Hoagies sold
Answer:
42:53 would be the answer
Step-by-step explanation:
In a ski club fundraiser, the ratio of Italian hoagies sold to the total number of hoagies sold, when the numbers of Italian and roast beef hoagies are 42 and 53 respectively, is 42:95.
Explanation:The student is asking for the ratio of Italian hoagies sold to the total number of hoagies sold at a ski club fundraiser. To calculate this ratio, one must add the number of Italian hoagies to the number of roast beef hoagies to determine the total hoagies sold. In this case, 42 Italian hoagies were sold, and 53 roast beef hoagies were sold, yielding a total of 95 hoagies sold. Thus, the ratio of Italian hoagies sold to total hoagies sold is 42:95. In ratio terms, this expresses that for every 42 Italian hoagies sold, there were 95 total hoagies sold.
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the graph below shows the relationship between the number of cookies made and the number of pans used:
Which statement best describes point A on the graph?
A: four pans make 16 cookies
B: four pans make 32 cookies
C: One pan makes 16 cookies
D: One pan makes 32 cookies
Answer:
B four pans make 32 cookies
What is the center of the circle given by the equation by the equation (x-3)2 + (y-9)2=16
Answer:
centre = (3, 9 )
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 3)² + (y - 9)² = 16 is in this form
with centre = (3, 9) and r = [tex]\sqrt{16}[/tex] = 4
Answer:
(3,9) -apex!!!!!!
Step-by-step explanation:
The test grades of a science class are given.
78, 75, 70, 92, 69, 83, 98, 76, 75, 82, 91, 89
The grades are normally distributed with a mean of 81.5 and a standard deviation of 9.3.
What is the z-score of the highest grade in the test?
Round the answer to the nearest hundredth.
Answer:
1.77 to nearest hundredth
Step-by-step explanation:
Z-score = (score - mean) / standard deviation
98 is the highest score and its z-score is (98- 81.5) / 9.3
= 1.7742
Answer: 1.77
Step-by-step explanation:
Given : The test grades of a science class are given.
78, 75, 70, 92, 69, 83, 98, 76, 75, 82, 91, 89
The grades are normally distributed with a mean [tex]\mu= 81.5[/tex] and a standard deviation [tex]\sigma=9.3[/tex] .
let x be any random variable represents the test grades of a science class.
Formula for z-score:-
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
The highest score= 98
Then , the z-score of the highest grade in the test will be :-
[tex]z=\dfrac{98-81.5}{9.3}=1.77419354839\approx1.77[/tex]
Hence, the z-score of the highest grade in the test =1.77
What is the y intercept of the line with the equation y=2x+8
Answer:
in the point slop form y=2x+8
the slope is 2
the y intercept is 8
The slope-intercept form of line:
y = mx + b
m - slope
b - y-intercept
We have y = 2x + 8. Therefore:
slope m = 2
y-intercept b = 8
Answer: y-intercept = 8.Which equation is a point slope form equation for line AB ? y+1=32(x−1) y+1=−32(x−1) Four-quadrant Cartesian graph with integer tickmarks from -9 to 9 (or -10 to 10) for x and y axes, with a straight line with arrowheads drawn through two points labeled A and B. Point A is at (-3,5) and point B is at (1,-1).
Answer:
The second option is correct. The point slope form of AB is [tex]y+1=\frac{-3}{2}(x-1)[/tex].
Step-by-step explanation:
The given points are A(-3,5) and B(1,-1).
Slope of a line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of AB is
[tex]m=\frac{-1-5}{1-(-3)}[/tex]
[tex]m=\frac{-6}{4}[/tex]
[tex]m=\frac{-3}{2}[/tex]
The point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is slope of the line.
Case 1: The slope of the line is [tex]\frac{-3}{2}[/tex] and the point is (-3,5). The point slope form of AB is
[tex]y-5=\frac{-3}{2}(x+3)[/tex]
Case 1: The slope of the line is [tex]\frac{-3}{2}[/tex] and the point is (1,-1). The point slope form of AB is
[tex]y+1=\frac{-3}{2}(x-1)[/tex]
Therefore the point slope form of AB is [tex]y+1=\frac{-3}{2}(x-1)[/tex]. Option 2 is correct.
A special paint requires a mixture of paints: A, B and C. The ratio is: 60% A, 25% B, and 15% C. If you want 20 gallons of the special color, how many gallons of paint A will you need?
You would need 12 gallons of paint A. You can find this answer by finding what 60% of 20 is, and do that by multiplying 20 • (0.6). This is what gives you 12. Following that, you’ll need 3 gallons of C, and 5 gallons of B.
What is the slope for (-3,14)(5,10)
Answer:
slope = -1/2
Step-by-step explanation:
The formula for slope is (y2-y1)/ (x2-x1)
m = (10-14)/(5--3)
= (-4)/(5+3)
= -4/8
= -1/2
F(x)=x^3+4x^2+x-6
What are the real zeros
To find the real zeros of the given function, set it equal to zero and solve the resulting equation.
Explanation:The real zeros of the function F(x) = x^3 + 4x^2 + x - 6 are the values of x that make the function equal to zero.
Step 1: Set the function equal to zero: x^3 + 4x^2 + x - 6 = 0.Step 2: Solve the equation by factoring, synthetic division, or using the Rational Root Theorem.Step 3: The real zeros of the function F(x) = x^3 + 4x^2 + x - 6 are the solutions obtained from Step 2.find the exact value of x
ΔABC and ΔCBD are similar. Therefore we have the proportion:
[tex]\dfrac{AB}{BC}=\dfrac{BC}{BD}\\\\AB=6;\ BC=x;\ BD=2[/tex]
Substitute:
[tex]\dfrac{6}{x}=\dfrac{x}{2}[/tex] cross multiply
[tex](x)(x)=(6)(2)\\\\x^2=12\to x=\sqrt{12}\\\\x=\sqrt{4\cdot3}\\\\x=\sqrt4\cdot\sqrt3\\\\\boxed{x=2\sqrt3}[/tex]
(02.06) The table below shows that 1 day equals 24 hours. Notice that 12 hours is one-half of that. Use the table to help you determine how many days are equal to 42 hours. 1 day 24 hours 12 hours 12 hours (3 points) 1 and 1 over 4. days 1 and 1 over 2. days 1 and 3 over 4. days 2 days
Answer:
1 and 3/4 days are equal to 42 hours
Step-by-step explanation:
42 hours = (42 hours) (1 day / 24 hours)
42 hours = 42/24 days
Simplyfing the fraction: Dividing the numerator and denominator by 6:
42 hours = (42/6) / (24/6) days
42 hours = 7/4 days
42 hours = (4+3)/4 days
42 hours = (4/4+3/4) days
42 hours = 1 3/4 days
To determine how many days are equal to 42 hours, you divide 42 by 24 which results in 1.75. Therefore, 42 hours is equivalent to 1 and 3/4 days.
Explanation:In this mathematics problem, we are asked to convert 42 hours into a measurement of days. To begin with, we know that 1 day equals 24 hours. Therefore, to convert 42 hours into days we will divide 42 by 24.
The result of this division is 1.75. In terms of a day fraction, this value represents 1 and 3/4 days. As such, we can say that 42 hours is equivalent to 1 and 3/4 days.
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Oceanside bike rental shop charge 15 dollars plus 8 dollars an hours for renting a bike. Jason paid 79 dollars to rent a bike. How many hours did pay to have the bike checked checked out?
Answer:
8 hours
Step-by-step explanation:
Firstly, the cost for renting the bike needs to be subtracted from the total amount:
79 - 15 = 64
Now this can be divided by 8 to find the hours:
64 ÷ 8 = 8
So he paid for 8 hours.
Point slope form of (2,4) and (3,1)
Answer:
y-4 = 3 (x-2)
Step-by-step explanation:
To find the slope of a line
slope = (y2-y1)/(x2-x1)
slope = (1-4)/(2-3)
= -3/-1
=3
Now we use the point slope form for a line
y-y1 = m(x-x1)
y-4 = 3 (x-2)
Answer:
y-4 = 3 (x-2)
y=-3x+10
Which equations have a value less than 6,766? A. one fourth x 6,766 = ________ B. 6 x 6,766 = ________ C. one half x 6,766 = ________ D. 1 x 6,766 = ________ A and C D and B A and B C and D
The values less than 6,766 are one fourth x 6,766 and one half x 6,766 (A and C options are correct)
What is an expression?Numbers, symbols and operators (such as and times) grouped together that show the value of something.
Given is an expression, 6,766
The values less than 6,766 are,
i) 1/4x6,766 = 1691.5
1691.5 < 6,766
ii) 1/2x6,766 = 3383
3383 < 6,766
Hence, one fourth x 6,766 and one half x 6,766 are correct answers.
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please help me with these im stuck
Answer:
Is it 15?
Step-by-step explanation:
Since it is asking for the sites, aren't you just supposed to count the dots...?
Answer:
15
Step-by-step explanation:
The question is asking how many sites are shown in this data set. So, on the side of the rectangle, it says "Number of Sites" & the dots represent the number of sites. So, there are 15.
Sorry if I'm incorrect...
Write the explicit formula for the sequence. -1, 4, -16, 64,... A) an = (4)(n-1) B) an = (-4)(n-1) C) an = -(4)(n-1) D) an = -(-4)(n-1)
Answer:
A
Step-by-step explanation:
Answer:
If on USA TEST PREP it is D
Step-by-step explanation:
3r-34r+80 please factor this
Answer:
(3r-10) (r+8)
Step-by-step explanation:
3r-34r+80
The first step is to combine like terms
3r - 34r
is -31r
-31r+80
We cannot factor since 31 is a prime number and 80 is not a multiple of 31
If you mean
3r^2-34r+80
(3r-10) (r+8)
I'm really bad at math!
Here it goes: Find the sum
(5b-9) -3(8-26)
Help!!!!!
-Math Disaster
Given : (5b - 9) - 3(8 - 26)
⇒ (5b - 9) - 3(-18)
⇒ (5b - 9) + 54
⇒ 5b - 9 + 54
⇒ 5b + 45
Answer:
i think its 5b + 45
Step-by-step explanation:
im not 100% sure what your asking for but i just distributed the -3 to the 8 and -26 and got 5b -9 -24 + 78. then i combined the like terms to get 5b + 45.
hope this helps !!
if the cost of 3 pies is $20.What is the cost for 6 pies
Write the equation in slope intercept form of a line that goes through (4,9) and has a slope of 1/2
Answer:
y = [tex]\frac{1}{2}[/tex] x + 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = [tex]\frac{1}{2}[/tex], hence
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
to find c substitute (4, 9) into the partial equation
9 = 2 + c ⇒ c = 9 - 2 = 7
y = [tex]\frac{1}{2}[/tex] x + 7 ← equation in slope-intercept form
Please help with this ...Its very urgent..
Answer: q²x² - p³x + 3pqx + q = 0
Step-by-step explanation:
Since a and B are the roots of x² - px + q = 0, then x = a and x = B
⇒ (x - a)(x - B) = 0
⇒ x² - ax - Bx + aB = 0
⇒ x² - (a + B)x + aB = 0
Comparing this to the given equation of x² - px + q = 0, we discover that
p = a + Bq = aBNext, given the roots for the new equation as [tex]x = \dfrac{a}{B^2} \quad\text{and}\quad\ x=\dfrac{B}{a^2}[/tex]
⇒ [tex]\bigg(x - \dfrac{a}{B^2}\bigg)\bigg(x-\dfrac{B}{a^2}\bigg)=0[/tex]
⇒ (B²x - a)(a²x - B) = 0
⇒ a²B²x² - a³x - B³x + aB = 0
⇒ a²B²x² - (a³ + B³)x + aB = 0
Let's look at each term individually:
1st term: a²B²x² = (aB)²x² = q²x² (since q = aB)
2nd term: (a³ + B³)x cubic formula can be used
= [(a + B)(a² - aB + B²)]x
= [(a + B)(a² + (2aB - 3aB) + B²)]x
= [(a + B)(a² + 2aB + B² - 3aB)]x
= [(a + B)(a + B)² - 3aB)]x
= [( p )( p² - 3 q )]x since p = a + B and q = aB
= (p³ - 3pq)x distributed "p" into p² - 3q
= p³x - 3pqx distributed "x" into p³ - 3pq
3rd term: aB = q since q = aB
Put it all together:
q²x² - (p³x - 3pqx) + q = 0
⇒ q²x² - p³x + 3pqx + q = 0
The regular price for a sweater is $48. The store is having buy one get one 1/2 off sale. If you buy 2 sweaters for that price what percent discount is that ?
Answer: 25%
Step-by-step explanation:
Hi, if you buy 2 sweaters at full price (100%)
$48 x 2 = $96
"Buy one get one 1/2 off sale"´price
48 + (48/2) = 48 +24 = $72
So, the normal price for both sweaters (96) multiplied by a percentage is equal to the "buy one get one 1/2 off sale” price.
96 x =72
x =72/96 = 0.75
Multiplying by 100 to obtain the percentage form
0.75 =75%
So, the sale price is %75 of the full price.
To obtain the percent discount.
100%-75% = 25%
Which of the following is a factor of 2[tex]x^{4}[/tex] + 22x[tex]x^{3}[/tex] + 60x[tex]x^{2}[/tex]?
[tex]x^{3}[/tex]
[tex]x^{4}[/tex]
x + 4
x + 5
[tex]2x^4+22x^3+60x^2=2x^2(x^2+11x+30)=2x^2(x^2+6x+5x+30)\\\\=2x^2[x(x+6)+5(x+6)]=2x^2(x+6)(x+5)\\\\Answer:\ x+5[/tex]
Answer:
(x+5) is the final answer.
Step-by-step explanation:
We have to find the factors of [tex]2x^4+22x^3+60x^2[/tex]
Then select correct choice or choices from the given options.
[tex]2x^4+22x^3+60x^2[/tex]
[tex]=2x^2(x^2+11x+30)[/tex]
[tex]=2x^2(x^2+6x+5x+30)[/tex]
[tex]=2x^2(x(x+6)+5(x+6))[/tex]
[tex]=2x^2((x+5)(x+6))[/tex]
[tex]=2x^2(x+5)(x+6)[/tex]
From above factors, we see that only (x+5) is correct.
Hence (x+5) is the final answer.
The area of a square is 729 square centimeter. How long is each side of the square?
Answer:
27 cm
Step-by-step explanation:
So the square root of 729 is 27
Harper knows he is 50 yards from the school. The map on his phone show that the school is 3/4 inches from current location. How far is Harper from home if map shows the distance as 3 inches
Answer: 200 yards
Step-by-step explanation:
So if 3/4 inches on the map is equal to 50 yards then you could divide the 3 inch distance from him to his home by 3/4 and then multiply that answer by 50. So 3 ÷ 3/4 = 4. 4 * 50 = 200. He is 200 yards from his home.
Answer:
Harper is 200 yards away home.Step-by-step explanation:
To solve this problem, we use the rule of three, if 50 yards represents 3/4 inches, how many yards would represent 3 inches?
[tex]x=3in\frac{50yd}{\frac{3}{4}in } =3\frac{200}{3}yd=200yd[/tex]
So, 3 inches represents 200 yards, that means Harper is 200 yards away home.
Remember that the rule of three is just about using the ratio that the problem already gave.
Therefore, the answer is 200 yards.
What is 15 to the 1/3 power in radical form
[tex]\sqrt[n]{a^m}=a^{\frac{m}{n}}\\\\\boxed{15^{\frac{1}{3}}=\sqrt[3]{15}}[/tex]
Radical form is the form of a equation in which the number or variable is written under some power of the root. The 15 to the 1/3 power in radical form is [tex]\sqrt[3]{15}[/tex].
Given information-15 to the 1/3 power is the 1/3 power of the number fifteen and it can be expressed as,
[tex]=(15)^{\dfrac{1}{3}[/tex]
This number has to be written in the radical form.
Radical form-Radical form is the form of a equation in which the number or variable is written under some power of the root.
When a fractional exponents of the number is given the numerator becomes the power and the denominator becomes the root. Let [tex]x^{\dfrac{a}{b}[/tex] is a number with fractional exponents where a and b are the real and positive integer, then a becomes the power and the b becomes the root of the number x.
[tex]x^{\dfrac{a}{b} }=\sqrt[b]{x^a}[/tex]
For the given number,
[tex]=(15)^{\dfrac{1}{3}}=\sqrt[3]{15}[/tex]
Hence the 15 to the 1/3 power in radical form is [tex]\sqrt[3]{15}[/tex].
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What are the zeros of the polynomial function f(x)=x^3+2x^2-24x?
Immediately, we can factor an x out of each term to simplify the polynomial.
x(x^2 + 2x - 24)
In doing this, we know the first zero will be x = 0.
Using the AC method, we can find the next two zeros.
x(x - 4)(x + 6)
The zeros, or x-intercepts of the polynomial, are 0, 4, and -6.The zeros of the polynomial function f(x) = x^3 + 2x^2 -24x are x = -6, 0, and 4.
Explanation:The question requires finding the zeros of the polynomial function f(x) = x^3 + 2x^2 -24x. The zeros of this function can be found by setting the function equal to zero and solving for x. So, we have 0 = x^3 + 2x^2 - 24x. All terms have an 'x', so we can factor out 'x' to give: 0 = x (x^2 + 2x - 24). The quadratic formula (which is used for expressions of the form ax^2 + bx + c = 0) to solve x^2 + 2x - 24 = 0, we get x = -6 and x = 4. Therefore, the zeros of the function are x = -6, 0, and 4.
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