Answer:
1 hour
Step-by-step explanation:
300/6= 50
in one hour he drives 50 miles
so the answer is 1 hour
solve the equation 1/2x+7=18
Answer: 22
Step-by-step explanation:
Solve for x
1/2x + 7 = 18
Combine 1/2 and x.
x/2+ 7 = 18
Move all terms not containing x to the right side of the equation.
Subtract 7 from both sides of the equation.
x/2= 18 − 7
x/2 = 11
Multiply both sides of the equation by 2.
2 ⋅ x/2 = 2 ⋅ 11
Simplify both sides of the equation.
Cancel the common factor of 2.
x = 2 ⋅ 11
Multiply 2 by 11.
x = 22
What is the image point of ( 0, 4) after a translation right 2 units and down 3 units
Answer:
(2, 1)
Step-by-step explanation:
To do this add 2 to the x-value and subtract 3 from the y-value.
(0+2, 4-3) = (2, 1)
Answer:
(2,1)
Step-by-step explanation:
0+2=2
4-3=1
look at the graph and move ur mose however many counter to the right if its the right left if its left and then down if its down then up if its up
Which type of heat transfer causes air movement between land and ocean?
Answer:
Energy is transferred between the Earth's surface and the atmosphere in a variety of ways, including radiation, conduction, and convection. Conduction is one of the three main ways that heat energy moves from place to place.
Step-by-step explanation:
plz help due in 10 min
Answer:
the answer is A <_______________^______________
What is the slope of the line? *
Answer:
slope = 1/2
Step-by-step explanation:
[tex]\frac{rise}{run}[/tex] = [tex]\frac{1}{2}[/tex]
For the image above which action below allows the scale to be balanced
find a fraction equivalent to 1/2
Answer:
50/100
Step-by-step explanation:
it is a half becaus 50 is half of 100 1 is hal of 2
Please need it in 5 mins
Answer:
70,110,110,110
Step-by-step explanation:
I'm Asian and I was less than 5 minutes
Consider the graph shown.
Complete the sentence based on the graph.
The value of f(x) is -2 at x =
and the value of f (-2) =
Answer:
The value of f(x) is -2 at x = 0, and the value of f(-2) = -5.
Step-by-step explanation:
✔️The value of f(x) is -2 also means y = -2.
So, looking at the graph, the corresponding value of x when y = -2 is x = 0.
✔️The value of f(-2) is the same thing as asking what the corresponding y-value of x would be at x = -2.
From the graph, at x = -2, the corresponding y-value is -5.
Events A and B are dependent. Find the missing probability.
P(A) = 0.6
P(B\A) = 0.2
P(A and B) = ???
Answer:
P(A and B) = 0.12
Step-by-step explanation:
Conditional Probability
Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event A has occurred, then the probability that event B occurs is given by:
[tex]{\displaystyle P(B\mid A)={\frac {P(B\cap A)}{P(A)}}}[/tex]
Where [tex]P(B\cap A)[/tex] is the probability that both events occur and P(A) is the probability that A occurs.
We are given P(A)=0.6, P(B\mid A)=0.2, and it's required to find P(B\cap A). Solving for the required variable:
[tex]P(B\cap A)=P(B\mid A)*P(A)[/tex]
[tex]P(B\cap A)=0.2*0.6=0.12[/tex]
P(A and B) = 0.12
Melkon travels 8/11 miles to the grocery store. Tamar travels 12 miles to the grocery store. Write the ratio of the distance Tamar travels to the distance Melkon travels as a fraction in simplest form. Write the ratio of the distance Melkon travels to the distance Tamar travels as a fraction in simplest form.
Answer: 33/2 and 96/11.
Step-by-step explanation:
The ratio of the distance Tamar travels to the distance Melkon travels:
[tex]\dfrac{12}{\frac{8}{11} } =\dfrac{12 \cdot 11}{8} =\dfrac{132}{8} =\dfrac{33 \cdot 4}{2 \cdot 4} =\dfrac{33}{2}[/tex]
The ratio of the distance Melkon travels to the distance Tamar travels:
[tex]\dfrac{\frac{8}{11} }{12} =\dfrac{8 \cdot 12}{11} =\dfrac{96}{11}[/tex]
A person standing close to the edge on top of a 72-foot building throws a ball vertically upward. The
quadratic function h = - 16ť+ 136t + 72 models the ball's height about the ground, h, in feet, t seconds after it was thrown.
a) What is the maximum height of the ball?
feet
b) How many seconds does it take until the ball hits the ground?
seconds
Answer:
I hope this helps.
Step-by-step explanation:
h(t) = -16t2 + 108t + 28
(a)
Maximum height occurs at the vertex of the height-vs.-time parabola, which is at
t = -108/[2(-16)] sec = ? sec
Evaluate h(t) at this value of t to get hmax.
(b)
Set h(t) = 0 and solve the quadratic equation for t. You will get a positive and a negative solution. Discard the negative solution, since time starts at t = 0.
The quadratic function, h = -16t + 136t + 72, gives us:
a) The maximum height of the ball is 360 feet.
b) The time taken by the ball to hit the ground is 9 seconds.
What is a quadratic function?A quadratic function is a function over a quadratic expression, that is, over an expression having degree 2.
How to solve the question?In the question, we are informed that a person standing close to the edge of a 72-foot building throws a ball vertically upward. The quadratic function h = -16t² + 136t + 72 models the ball's height above the ground, h in feet, t seconds after it was thrown.
We solve the following:-
a) What is the maximum height of the ball?
The maximum height of the ball can be obtained by differentiating the given quadratic function, h = -16t² + 136t + 72.
Differentiating both sides. we get:
[tex]\frac{\delta h}{\delta t} = -32t + 136[/tex] .
To get point of inflection, we equate this to 0, to get:
[tex]\frac{\delta h}{\delta t} = -32t + 136 = 0[/tex],
or, -32t + 136 = 0,
or, t = 136/32 = 4.5.
To check whether the value of h is maximum/minimum at t = 4.5, we differentiate [tex]\frac{\delta h}{\delta t} = -32t + 136[/tex] again, to get:
[tex]\frac{\delta^{2} h}{\delta t^{2} } = -32[/tex] , which is < 0, which that implies, h is maximum at t = 4.5.
Now, we calculate the maximum height, by putting in t = 4.5, in the equation, to get:
h = -16(4.5)² + 136(4.5) + 72,
or, h = -16(20.25) + 612 + 72,
or, h = -324 + 684 = 360.
Therefore, The maximum height of the ball is 360 feet.
b) How many seconds does it take until the ball hits the ground?
The time taken can be calculated by putting the value of h = 0, and solving the quadratic function h = -16t² + 136t + 72, as the height of the ball at the ground is 0.
Therefore, it can be written as:
0 = -16t² + 136t + 72.
or, 16t² - 136t - 72 = 0.
Solving this using the quadratic equation, we get:
[tex]t = \frac{-(-136)\pm \sqrt{(-136)^{2} - 4(16)(-72)}}{2(16)}[/tex] ,
or, [tex]t = \frac{136\pm \sqrt{18496 + 4608}}{32}[/tex] ,
or, [tex]t = \frac{136\pm \sqrt{23104}}{32}[/tex] ,
or, [tex]t = \frac{136\pm 52}{32}[/tex]
Therefore, either t = (136+152)/32 = 9,
or, t (136 - 152)/32 = -0.5.
Since t represents time, we won't take the negative value, and hence t = 9.
Therefore, The time taken by the ball to hit the ground is 9 seconds.
Learn more about quadratic equations at
https://brainly.com/question/15340389
#SPJ2
please help i am so confused
PLEASE HELP!!!!
A taxi charges $4.00 for the first mile plus $1.25 for each additional mile.
On a fare of $16.50, how long was the ride?
I think of two consecutive odd numbers, five times the smaller plus three times the larger is 62. Find the numbers.
Answer:
7 and 9
Step-by-step explanation:
Variables:
x = smaller number
y = larger number
We can set up two equations with the information given:
5x + 3y = 62
and
y = x + 2
We get the second equation with the information that the two numbers are consecutive and both odd. therefore the smaller number is two less than the larger number, and the larger number is two greater than the smaller number.
Next, we need to replace our y in the first equation with the y in the second:
5x + 3y = 62
5x + 3 (x+2) = 62
5x + 3x + 6 = 62
8x = 56
x (smaller number) = 7
Finally, we solve for the larger number by placing it back into the second equation:
y = x + 2
y = 7 + 2
y (larger number) = 9
I hope this helps!
-TheBusinessMan
I will give brainliest please help
Answer:
2.5
Step-by-step explanation:
[tex] \frac{u}{11} = \frac{3}{13} \\ \\ u = \frac{3 \times 11}{13} \\ \\ \\ \\ u = \frac{33}{13} \\ \\ u = 2.53846154 \\ \\ u \approx2.5[/tex]
Order the values from least to greatest
Answer:
option d
Step-by-step explanation:
6-,|-2|,|-4|,5,|9|
Answer:
-6,-4,-2,5,9 =a
the answer is a
The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to state what percentage of their nursing scholarships were presently held by women. The responses were 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.
Required:
Find the mean, median, mode, and geometric mean. Which is the most appropriate measure of central tendency? The least appropriate? Explain your answer. Is there an outlier?
Answer: Mean = 3.5 , median = 2.5, mode = 2, geometric mean = 2.74
Median is the most appropriate measure of central tendency.
The least appropriate = mean
Yes there is an outlier.
Step-by-step explanation:
Given responses : 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.
First arrange them in increasing order, [tex]\sqrt[10]{1\times1\times2\times2\times2\times3\times4\times5\times5\times10 }\\\\=\sqrt[10]{24000} \approx2.74[/tex]
Its sum = 35
Mean of n observations = (Sum of observations) ÷ n
Mean = (35) ÷ 10
=3.5
Here n =10 (even)
Median = average of middle most numbers = [tex]\dfrac{2+3}{2}=\dfrac52=2.5[/tex]
Mode = most repeated number = 2 (thrice)
geometric mean = [tex]\sqrt[n]{x_1\times x_2\times.... x_n}[/tex]
10 is an outlier as it is very large as compare to other numbers.
When outlier is present in data , the median is the most appropriate measure of central tendency.
Mean affected badly by the outlier so it the least appropriate.
Find the slope of a line parallel to the line through the points. ises 11.3. omplete the following: (c) (10, 6) and (10, 10)
Answer:
cv vfgvbgfgvd
Step-by-step explanation:
need help asap please
Answer:
[tex]\displaystyle 73[/tex]
Step-by-step explanation:
According to this model, both pairs of angles are congruent, therefore the long leg [ED] is ALSO congruent to GD.
I am joyous to assist you at any time.
The ratio of red to blue counters
in a bag is 1 : 4 The ratio of blue to
green counters is 2:3
If there are 20 red counters how
many green counters are there?
please please please help
Answer:
I have no clue what part B is asking because I can't read it, but here is part A!
AB/PQ = 2/3
AC/PR = 2/3
BC/QR = 2/3
Step-by-step explanation:
Since it says that the tiangles are similar, then it means that AB=PQ, AC=PR, BC=QR.
So, AB/PQ = 6/9 = 2/3
And, AC/PR = 8/12 = 2/3
Also, BC/QR = 10/15 = 2/3
Plot and connect the points A (3, 1), B (5. 3), C(2,5), D (-1,5), E (-4,3), F (-2, 1), and find the length of DC.
A. 2 units
B. 4 units
C. 3 units
D. 5 units
how do i find the answer
Answer:
d = √[(-2 - 3)2 + (1 - 1)2] = √25 = 5 units
Jody is buying a scrapbook and sheets of designer paper. She has $40 and needs at least $19.00 to
buy the scrapbook. Each sheet of paper costs $3.00. How many sheets of paper can she buy?
Answer:
7 sheets of paper
Step-by-step explanation:
$40-$19=$21
$21/$3=7 sheets of paper.
In words:
I did 40 minus 19 to get 21, and the divided 21 by 3 to get 7 sheets of paper.
3x = 9x^2 - 10
solve quadratic formula
Answer:
Step-by-step explanation:
9x²-3x-10=0
[tex]x=\frac{3\pm \sqrt{(-3)^2-4*9*(-10)} }{2*9} \\=\frac{3\pm\sqrt{9+360} }{18} \\=\frac{3 \pm3\sqrt{41} }{18} \\or~x=\frac{1\pm\sqrt{41} }{6}[/tex]
34 is 68% of what number?
A wire is (7x – 3) meters long. A length of (3x – 4) meters is cut for use(a) How much wire is left?
Answer:
The amount of wire left is 4x + 1
Step-by-step explanation:
Initially, the wire is (7x - 3) meters long.
A length of (3x - 4) meters is cut.
How much wire is left?
Initial amount subtracted by the amount that is cut. So
(7x - 3) - (3x - 4) = 7x - 3 - 3x + 4
We combine the like terms
7x - 3x - 3 + 4 = 4x + 1
The amount of wire left is 4x + 1
solve for y.
-13=4y+3
Answer:
-13=4y+3 -3
-16=4y ÷4
-4=y
Step-by-step explanation:
hope it helps ^^
Answer:
y = -4
explenation in picture
1. Solve the system and find the solution.*
3x + 4y= 4
y = 3x - 14
A rate in which the first quantity is compared to 1 unit of the second quantity
Answer:
it will compare unit to some quanlity to a different number of units of a different queality.
Step-by-step explanation:
a/b=c/d proportions are two fractions that are equal example: 1/2=2/4