Answer:
50 mph
Step-by-step explanation:
225 in 4.5 Hours
1 Hour - 50 miles
(225 ÷ 4.5 = 50)
Hope this helps.
Answer:
50mph
Step-by-step explanation:
To figure this out you would just have to divide the number of miles which is 255 by the number of hours which is 4.5 and you would get 50mph.
A bag contains 5 blue marbles, 2black marbles ,and 3 red marbles. A marine is randomly drawn from the bag The probability of not drawing a red marble is___ . The probability of drawing a red marble is
The probability of not drawing a red marble is 7/10
The probability of drawing a red marble is 3/10
=======================================================
Explanation:
We have 3 red marbles out of 5+2+3 = 10 total. Therefore, the probability of selecting a red marble is 3/10.
The probability of not selecting a red marble is 7/10 because 3/10+7/10 = 1. Put another way, we have 7 marbles that aren't red (the 5 blue and 2 black ones) out of 10 total.
Quick guys! Coordinates: (-3,-2) (0,4) Y=2x+4 Linear or non linear? Why?
Answer:
Linear
Step-by-step explanation:
y = 2x + 4 is linear -- any equation involving only first powers of x and y (and constants) is linear. You'll usually see linear equations in the forms y = mx + b, ax + by = c, or y - y1 = m(x - x1).
If you take any two points, find the slope of the line between them, and then plug in one point to solve for the constant term (like you did), you will get a linear equation through those points.
Answer:
it is linear pair of the variable
The graph that correctly represents the inequality 2x > 50 is graph . The graph that correctly represents the inequality x + 6 < 32 is graph .
Answer:
graph c is 2x> 50 and graph b is x+6<32
Step-by-step explanation:
For 2x>50 you first divide 50 by2 leaving you with x>25 therefore x is all numbers greater than 25.
For x+6<32 you first subtract 6 from 32 leaving you with x<26 therefore x is all numbers less than 26.
Hope this helps, please mark brainliest if it does!!! Thank you!!
Answer:
graph c is 2x> 50 and graph b is x+6<32
Step-by-step explanation:
For 2x>50 you first divide 50 by2 leaving you with x>25 therefore x is all numbers greater than 25.
For x+6<32 you first subtract 6 from 32 leaving you with x<26 therefore x is all numbers less than 26.
Hope this helps, please mark brainliest if it does!!! Thank you!!
6 x 10^-2 is how many times a large as 2 x 10^-8?
Answer:
the number [tex]6\,\,\,10^{-2}[/tex] is three million times larger than [tex]2\,\,\,10^{-8}[/tex]
Step-by-step explanation:
To answer this, just do the quotient of the first one over the second one, and use the rules for quotient of exponential expressions of the same base:
[tex]\frac{6\,\,\,10^{-2}}{2\,\,\,10^{-8}} =\frac{6}{2} \,\frac{10^{-2}}{10^{-8}} =3\,\,\,10^{-2+8}=3\,\,\,10^6=3000000[/tex]
So the answer is: the number [tex]6\,\,\,10^{-2}[/tex] is three million times larger than [tex]2\,\,\,10^{-8}[/tex]
6/3x = 3. What is x?
Steps to solve:
6/3x = 3
~Multiply 3/6 to both sides
x = 3/2
Best of Luck!
Answer:
x = 3/2
Step-by-step explanation:
Hey there!
To solve this equation, let's rewrite it for cohesive purposes. This would result in (6/3)(x) = 3.
Now, we can simplify the fraction because it reduces to a whole number. Three will go into six two times, so 6/3 is equivalent to 2.
This leaves us with 2x = 3.
Now, we need to isolate the x. Because there is a coefficient leading the variable, we can divide the entire term (2x) by 2 as well as dividing the 3 on the righthand side of the equation by 2.
Remember the mathematical rule of thumb: what you do to one side of the equation, you must perform to the other side. Therefore, if we divide by 2 on the left side of the equation, we must also divide the righthand side of the equation by 2.
By performing this step, it leaves us with x = 1.5.
[tex]{\frac{2x}{2}=\frac{3}{2}}\\\\\bold{x = \frac{3}{2}}[/tex]
We can reduce [tex]\frac{3}{2}[/tex] to a decimal, which transfers to 1.5. However, it's best to leave the answer in fractional form. This leaves our final answer as [tex]\bold{x=\frac{3}{2}}[/tex].
Please help me with this geometry question :((
Answer:
BC/BE = FG/FI
Step-by-step explanation:
Corresponding segments are proportional:
BC/BE = FG/FI
What is the equation of the ellipse with foci at (5, 0), (-5, 0) and vertices (9, 0), (-9, 0)?
Answer: [tex]\dfrac{x^2}{81}+\dfrac{y^2}{56}=1[/tex]
Step-by-step explanation:
General equation of ellipse : [tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}[/tex]
Given: Vertices of ellipse : (± 9,0)
Since the vertices are of the form (± a, 0).
i.e. a=9
Thus, the major axis is along x-axis.
Also, foci of the ellipse = (±5,0)
Since, foci is of the form (± c,0), i.e. c=5
Since
[tex]c^2=a^2-b^2\\\\\Rightarrow\ 5^2= 9^2-b^2\\\\\Rightarrow\ b^2=81-25\\\\\Rightarrow\ b^2=56[/tex]
Equation of ellipse :
[tex]\dfrac{x^2}{9^2}+\dfrac{y^2}{56}=1\\\\\Rightarrow\ \dfrac{x^2}{81}+\dfrac{y^2}{56}=1[/tex]
Hence, the required equation : [tex]\dfrac{x^2}{81}+\dfrac{y^2}{56}=1[/tex]
Mr. Avogadro started with 5.14x10^22 atoms of Pa-234. Ten days later Mr. Avogadro calculated the original sample had only 6.43 X 10^21 atoms of Pa-234. What's the half life of Pa-234? PLEASE HELP WILL MARK BRAINLIEST
Answer:
is 1
step by step explanation:
Write an equation in the form y=mx for the following situation. Then give the three ordered pairs associated with the equation for x-values of 0, 5, and 10.
x represents the number of hours traveling at 60 mph, and y represents the distance traveled (in miles).
What is the equation?
Answer:
y = 60x
(0, 0)
(5, 300)
(10, 600)
Step-by-step explanation:
since x is the number of hours, 60 will represent m.
y = 60x.
Plug in x values.
Plug in 0 and get a y of 0. (0,0)
Plug in 5 and get a y of 300. (5, 300)
Plug in 10 and get a y of 600. (10, 600)
Dilate the figure by a scale factor of 0.5 with the origin as the center of dilation. What are the vertices of the image?
1 F '(3, 2.5), G '(5, 0.5), H '(2, 1)
2 F '(2.5, 3), G '(0.5, 5), H '(0.5, 1)
3 F '(−3, −2.5), G '(−5, −0.5), H '(−1, −0.5)
4 F '(3, 2.5), G '(5, 0.5), H '(1, 0.5)
Answer:
4. F '(3, 2.5), G '(5, 0.5), H '(1, 0.5)
Step-by-step explanation:
The formula for dilations are
[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] where t1 is the scale factor
F has coordinates (6,5) so you can write
[tex](6*0.5,5*0.5)[/tex]
Multiply 6 by 0.5 and 5 by 0.5 to get
[tex](3,2.5)[/tex]
Next, do G. It has coordinates (10, 1) so you can write
[tex](10*0.5, 1*0.5)[/tex]
Multiply 10 by 0.5 and 1 by 0.5 to get
[tex](5, 0.5)[/tex]
Finally, point H has coordinates (2, 1) so you can write
[tex](2*0.5, 1*0.5)[/tex]
Multiply 2 by 0.5 and 1 by 0.5 to get
[tex](1, 0.5)[/tex]
Hope this helps. Feel free to ask any follow-up questions.
Have a great day! :)
Answer: F '(3, 2.5), G '(5, 0.5), H '(1, 0.5).
From the image the vertices are F(6, 5), G(10, 1), H(2, 1).
We have to dilate the figure by a scale factor of 0.5 with the origin as the center of dilation.
We will multiply the vertices by 0.5.
So the new vertices will be: F '(3, 2.5), G '(5, 0.5), H '(1, 0.5).
Learn more: https://brainly.com/question/20521181
Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read. I'm on Kahn so if anyone knows the answer to the question with the 4 graphs let me know.
Answer:
Total number of pages in book = 570 pages
Step-by-step explanation:
Given:
Rate of reading = 55 page per hour
Number of hour = 4 hour
Total pages remain = 350 pages
Find:
Total number of pages in book
Computation:
Number of pages read = Number of hour × Rate of reading
Number of pages read = 4 × 55
Number of pages read = 220
Total number of pages in book = Number of pages read + Total pages remain
Total number of pages in book = 220 + 350
Total number of pages in book = 570 pages
In the figure below, B is the center of the circle, NL
32, OS = 3x - 2, RB = 26, and SB = 26. Find the value of
X.
Answer: x=12
Step-by-step explanation:
OQ is equal to NL since both contain 90 degree angles and are intersected by a radius. Since OS is 3x-2 and NL is 32, then we need to find OQ and set it equal to NL. OS is half of OQ, so multiplying OS by 2 will get you OQ. 6x-4=32
That yields x=12.
Answer:
X=12
Step-by-step explanation:
A. Plot the data for the functions f(x) and g(x) on a grid (SHOWN ABOVE)
B. Identify each function as a linear, quadratic, or exponential, and uses complete sentences to explain your choices.
C. Describe what happens to the function values in each function as x increases from left to right.
D. At what value(a) of x are the function values equal? If you cannot give exact values for x, give estimates.
Please Help if you can!!!
Answer:
(20, 800) and (27, 1080)
Step-by-step explanation:
The chart shows that it costs 40 per person, so you need to identify which bills costs 40 times the number of people.
12x40=460 No
20x40=800 Yes
24x40=1020 No
27x40=1080 Yes
28x40=1110 No
Which function has exactly one x- and y-intercept
Answer:
Step-by-step explanation:
The function represented by the yellow graph has exactly one y-intercept and one x-intercept. The y-intercept is (0, 4) and the x-intercept is (2, 0).
Answer:
Its the one shown
Step-by-step explanation:
I need help like ASAP
Answer:
I think the closest to the correct answer is choice B:
[tex]f^{-1} (x)=\frac{1}{x-1}[/tex]
Step-by-step explanation:
the accurate answer is: [tex]f^{-1} (x)=-\frac{1}{1-x}[/tex]
suppose f(x)=x^3 find the graph of f(x+3)
Replace x with x+3:
f(x+3) = (x+3)²
which is x² translated 3 units left
explain constraint of domain on parabola graphs
Answer:The set of possible values for the independent variable is called the domain. Similarly, there are constraints on the values for any dependent variable. ... Graphs of functions are traditionally drawn with the independent variable on the horizontal axis and the dependent variable on the vertical axis.
Step-by-step explanation:
Find the value of x in each case. Give reasons to justify your solutions! please help will award brainliest
Answer: x=19
Step-by-step explanation:
We know that 2x is equal to w. We also know that the angle of the triangle is 90 degrees. We also know the 90 plus 3x-5 plus w will equal 180 degrees since it is a triangle. So, by substituting the w from w+ 3x-5+90=180 with 2x, we can solve for x by moving all the numbers around. So it goes from 2x+3x-5+90=180 to 2x+3x-5=90 and then to 5x-5=90 and finally to 5×=95 and divide 95 by 5 to get x. And you're done! Hope this helps!
Which of these numbers is the most precise approximation of?
Answer:
[tex]\boxed{3.464}[/tex]
Step-by-step explanation:
Calculate the square root.
[tex]\sqrt{12} = 3.46410161514[/tex]
Approximate the value.
[tex]\sqrt{12} \approx 3.464[/tex]
Answer:
d
Step-by-step explanation:
to find the square root of a # see how many times a # can go into the root, find the # with the greatest value
help! please I need the answer now !!
Answer:
(- 5, 0 ), (7, 0 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, - 108 ), thus
y = a(x - 1)² - 108
To find a substitute (0, - 105 ) into the equation
- 105 = a(- 1)² - 108 ( add 108 to both sides )
3 = a
y = 3(x - 1)² - 108 ← equation in vertex form
To find the x- intercepts, let y = 0, that is
3(x - 1)² - 108 = 0 ( add 108 to both sides )
3(x - 1)² = 108 ( divide both sides by 3 )
(x - 1)² = 36 ( take the square root of both sides )
x - 1 = ± [tex]\sqrt{36}[/tex] = ± 6 ( add 1 to both sides )
x = 1 ± 6, so
x = 1 - 6 = - 5
x = 1 + 6 = 7
x- intercepts are (- 5, 0), (7, 0)
What percent of the area underneath
this normal curve is shaded?
[?]%
Hint: Use the 68 - 95 - 99.7 rule.
Enter
Answer:
The area covered by it is "95%".
Step-by-step explanation:
The given rule "68-95-99.7" specifies that perhaps the breadth around one standard deviation across each edge of the partition covers 68% throughout the area. Furthermore, the breadth of two standard deviations across each edge of the boundary covers 95% throughout the area.99.7% of something like the region is protected by that same side of three standard deviations along each partition side.Consequently, because the shaded region encompasses the range of two standard deviations, the portion protected is 95%.
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for the company to make the maximum profit. y=-10x^2+689x-6775 The selling price should be $
Answer:
x = $34.45
Step-by-step explanation:
Solution:-
The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:
[tex]y = -10x^2 + 689x -6775[/tex]
We are to determine the profit maximizing selling price ( x )
From the properties of a parabola equation of the form:
[tex]y = ax^2 + bx + c[/tex]
The vertex ( turning point ) or maximum/minimum point is given as:
[tex]x = -\frac{b}{2a} \\\\x = - \frac{689}{2*(-10)} = \frac{689}{20}\\\\x = 34.45[/tex]
The profit maximizing selling price of widgets would be x = $34.45.
Please help also with the questions on the picture, it's really urgent too...... Thank you✨
60 points
Lana uses factoring by grouping to factor the polynomial 8x2y−10xy2+12x−15y. Her work is shown below, but the last two lines of work are missing.
8x2y−10xy2+12x−15y
(8x2y−10xy2)+(12x−15y)
__[blank 1]__
__[blank 2]__
Select one statement for each blank to correctly complete Lana’s work.
blank 1: 2xy(4x−5y)+3(4x−5y)
blank 1: −4x(2xy+3)+5y(2xy+3)
blank 2: (2xy−3)(4x+5y)
blank 1: −2xy(4x+5y)−3(4x+5y)
blank 2: (2xy+3)(4x−5y)
blank 2: −(2xy+3)(4x−5y
NEED PROOF FOR POINTS
Answer:
blank 1: 2xy(4x-5y)+3(4x-5y)
blank 2: (2xy+3)(4x-5y)
Step-by-step explanation:
Using factoring group to factor the polynomial 8x²y−10xy²+12x−15y
Step 1: Group the polynomial function
(8x²y−10xy²)+(12x−15y)
Step 2: Factor the common value and variables from the functions in parentheses.
= (2xy*4x - 2xy(5y)) + (3(4x) - 3(5y))
= 2xy(4x-5y)+3(4x-5y)
Step 3: Rearrange the expression by selecting one of the function in parentheses and combine those not in parenthesis.
(2xy+3)(4x-5y)
The final expression gives the factor form of the polynomial.
Hence the statement for each blank that correctly completes Lana's work are;
blank 1: 2xy(4x-5y)+3(4x-5y)
blank 2: (2xy+3)(4x-5y)
Please help i will make brainliest for correct answers! :)
Answer:
For 13, there are 25 possible words, and for 14, depending on what the meaning of leaves is in this, the answer is 590.
Answer:
The first one is 25 and the second is 1080.
Step-by-step explanation:
To find how many 5-letter words you can make out of the letters, H, Q, L, R, and S, find the answer to 5². 5² = 25, so we can make 25 5-letter words. To find the number of "leaves" on the tree, just multiply the number of choices for color, monitor size, hard-drive size, and battery type together. So, 5×9×12×2 = 1080, so there are 1080 "leaves" on the tree.
Hope this helps! Plz give me brainliest like you said, it will help me achieve my next rank.
Does the function ƒ(x) = (0.85)x represent exponential growth, decay, or neither? Question 8 options: A) Exponential decay B) Impossible to determine with the information given. C) Neither D) Exponential growth
Answer:
exponential decay
Step-by-step explanation:
The function f(x)=0.85ˣ is a exponential decay.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function is f(x)=0.85ˣ.
The function f of x is equal to zero point eight five to the power of x.
Exponential decay refers to a process in which a quantity decreases over time, with the rate of decrease becoming proportionally smaller as the quantity gets smaller.
The function f(x)=0.85ˣ is a exponential decay.
Hence, the function f(x)=0.85ˣ is a exponential decay.
To learn more on Functions click:
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Write the sentence as an equation: 220 is 48 and h more
Answer:
220=48+h or 220=48h
Step-by-step explanation:
the word more can refer to a greater degree or extent. possibly referring
to addition or multiplication.
Answer:
220=48+h
Step-by-step explanation:
We know that 220 is the sum of 48 and h so you just represent it in an equation/equality statement.
Point D is on segment BC, Segment BC measures Bx
units in length
What is the length of segment BC?
units
Answer:
144 units
Step-by-step explanation:
3x + 8 + 4x + 10 = 8x
7x + 18 = 8x
8x - 7x = 18
x = 18
8x is length of BC
8 × 18 is length of BC
144 units
Answer:
What is the length of segment BC?
144 units
explanation:
<3
A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?
1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.
Answer:
n=16 kg
c=44 kg
Step-by-step explanation:
Let
n=nuts at $2.50 per kg
c=cereal at $1 per kg
n+c=60 (1)
2.5n + c=1.40(60) (2)
From (1)
n=60-c
Substitute n=60-c into (2)
2.5n + c=1.40(60)
2.5(60-c) +c=84
150-2.5c+c=84
-1.5c=84-150
-1.5c= -66
Divide both sides by -1.5
c=44 kg
Substitute c=44 into (1)
n+c=60
n+44=60
n=60-44
=16
n=16 kg
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg.