Answer:
750 miles
Step-by-step explanation:
100-25=75. 75/.10= 750
How to understand the area of triangles using height and base
The area of a triangle is 1/2 x base x height.
When you know the base and the height of a triangle, multiply them together, than multiply by 1/2 ( this is the same as dividing it by 2).
Answer:
Base times height divided by 2 = area.
6. Select all the inequalities that have the same solutions as -4x < 20.
A. -x > 5
B. 4x > -20
C. $4x
D. $x
E. x > 5
F. x > -5
(From Unit 6, Lesson 13.)
Answer:
F and B (as far as I can see).
Step-by-step explanation:
First, let's simplify the equation. You can easily do this by dividing by -4.
-4x < 20
/-4 /-4
x > -5
REMEMBER- Whenever dividing or multiplying a negative number with inequalities, the sign flips!!
On A, we can see that it has a negative symbol, but if we were to divide that, the sign would flip, making -5 greater than x. That's not what we want.
On B, the 20 is negative instead of the 4. Does this change anything?
4x > -20
/4 /4
x > -5
Nope! It still simplifies to what we had at the beginning so it works!
C and D are slightly confusing me because, well, I don't really see how it's relevant to anything so... It doesn't even have a inequality symbol so I don't know lol.
E is wrong because we need the 5 to be positive.
F is obviously right compared to our first answer.
Answer: F, b, a
Step-by-step explanation:
A toy rocket is launched from the roof of a building. The graph below shows the height of the rocket x seconds after it was launched. What is the average rate of change of the height of the rocket during its descent?
A. -32 ft/sec
B. -24 ft/sec
C. -64/3 ft/sec
D. -16 ft/sec
Using it's concept, it is found that the average rate of change of the height of the rocket during its descent is given by:
D. -16 ft/sec
What is the average rate of change of a function?It is given by the change in the output divided by the change in the input.
In this problem, the input changed from 0 s to 3 s, while the output changed from 48 ft to 0 ft, hence:
r = -48 ft/3 s = -16 ft/s
Hence option D is correct.
More can be learned about the average rate of change at https://brainly.com/question/24313700
What value of "p" will the pair of equations
3x + 4y = 12 and px + 12y = 30 NOT have a
unique solution? (Hint: find the slopes
and equate]
Answer:
9
Step-by-step explanation:
Slope is the same as coefficient of x
From the equation
3x+4y=12
Y=(-3/4)x+3
The slope for this eqn is -3/4
For this equation
Px+12y=30
12y=-p+30
Y= (-p/12)x +30/12
The slope is -p/12
To get p
-p/12=-3/4
P=9
The value of "p" is 9 for the pair equations [tex]3x + 4y = 12[/tex], [tex]px + 12y = 30[/tex] which do not have a unique solution. The condition for the pair of equations that do not have a unique solution is that their slopes are equal i.e., [tex]m_1=m_2[/tex].
Solutions to a system of linear equationsA system of linear equations can have,
no solutionexactly one solution or unique solutioninfinitely many solutionsConditions:A system of linear equations is said to have no solution if and only if their slopes are equal and y-intercepts are not equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1\neq c_2[/tex]A system of linear equations is said to have a unique solution or exactly one solution if and only if their slopes must not be equal i.e., [tex]m_1\neq m_2[/tex]A system of linear equations is said to have infinitely many solutions if and only if their slopes, as well as y-intercepts, are equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1=c_2[/tex]Calculating the "p" value for the given pair of equations:Given pair of equations
[tex]3x + 4y = 12\\px + 12y = 30[/tex]
Representing them in the slope-intercept form:
[tex]y=-\frac{3}{4} x+3\\y=-\frac{p}{12}x+\frac{5}{2}[/tex]
As we know that the slope of an equation in the form [tex]y=mx+c[/tex] is m
So, for the two equations slopes are,
[tex]m_1=-\frac{3}{4}[/tex] and
[tex]m_2=-\frac{p}{12}[/tex]
Since it is given that there is no unique solution for the given pair of equations we can write,
[tex]m_1=m_2[/tex]
⇒[tex]-\frac{3}{4} =-\frac{p}{12}[/tex]
⇒[tex]p=9[/tex]
Therefore, the value of "p" when the pair of equations [tex]3x + 4y = 12[/tex] and [tex]px + 12y = 30[/tex] do not have a unique solution is 9.
Learn more about linear equations here:
https://brainly.com/question/7563683
#SPJ2
Help please I suck at math
Answer:
1 biodata is on my class then you will contact or person
Answer:
hey
Step-by-step explanation:
What is the slope of the person who types words faster words (greater slope) per minute? (type just the number).
Find the slope of the line.
Y=5/3x
Answer:
[tex] \frac{5}{3} [/tex]
~ See attatchment
Step-by-step explanation:
I'm unsure what you want me to do here, so I drew a graph (using Desmos) and the slope.
The slope is given, 5/3. The slope-intercept equation is usually y = mx + b -- m being the slope and b being the y-intercept.
Hi!
Let's check if the equation that we're going to work with is in slope-intercept form.
Remember, the slope-intercept formula is:
[tex]\diamondsuit~~~\boldsymbol{y=mx+b}[/tex]
Where:
m -> Slopeb -> Y-interceptDetails:
[tex]\boxed{\\\begin{minipage} {8cm}\sf{Slope = coefficient \ of \ x, \ or \ the \ number \ before \ x.}\\\sf{Y-intercept = \ a \ number \ added \ to \ or \ subtracted \ from \ the \ slope.} \end{minipage}}[/tex]
Therefore:
[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Slope:}\quad\boldsymbol{\displaystyle\frac{5}{3}}}}}[/tex]
I hope I helped, have a wonderful day!
If you need any explanation or clarification, reach out to me, I'm always happy to help. :D
find the 17th term of the arithmetic sequence whose common difference is d=3 and whose first term is a1=5.
Answer:56
Step-by-step explanation:
PLEASE HELP 2O POINTS
What function is graphed below
y = x - 3
y = 3x
y = - 1
y = x + 3
Answer:
the answer is the third one :)
Step-by-step explanation:
Answer:
number 3
Step-by-step explanation:
i got 10.6 am i wrong?
Answer:
15.3
Step-by-step explanation:
because 15 is the number I think
At Walmart there is a jacket for $75, you have a coupon for 30% off. How much is the price of the jacket after the sale? How much was saved?
Answer:
Price after sale = $52.5
Amount saved = $22.5
Step-by-step explanation:
Cost of Jacket - $75
Percentage off = 30%
Discount price = 30% of $75
Discount price = 0.3 * 75
Discount price = $22.5
Price after sale = Original cost - Discount price
Price after sale = 75-22.5
Price after sale = $52.5
The amount saved = 75 - 52.5
The amount saved = $22.5
What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, -0.04, -0.14,
Answer:
The common difference between successive terms in the sequence is -0.1
Step-by-step explanation:
Common difference in an arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
0.36, 0.26, 0.16, 0.06, -0.04, -0.14
Subtraction of each term by its predecessor. So
0.26 - 0.36 = 0.16 - 0.26 = -0.1
The common difference between successive terms in the sequence is -0.1
How do you identify horizontal asymptotes? How do you know the equation of the asymptote?
Step-by-step explanation:
If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote. If the polynomial in the numerator is a higher degree than the denominator, there is no horizontal asymptote.
Helpp!! Show all work!!
Answer:
x = 13, and y = 32.5
Step-by-step explanation:
A parallelogram's angles will all have to add up to 360 degrees.
We can count 55° and 60° twice, because of the interior angle rule.
So:
2 (55 + 60)
360 - 230 = 130
So:
5x = 2y = 65
130 ÷ 2 = 65
5x = 65
x = 65 / 5
x = 13
2y = 65
y = 65 / 2
y = 32.5
What is the area of the triangle?
Answer:
5 units²
Step-by-step explanation:
Area of the triangle = ½ × base × height
base = 2
height = 5
Plug in the values into the formula
Area = ½ × 2 × 5
Area = ½ × 10
Area = 5 units²
The cost of a pair of Jordans is $125.00. The local sporting goods store sells it for $175.00. Find the markup rate.
Answer: 76
Step-by-step explanation:
Answer:
125 X 40% = 50.00
50.00 is the increase from the markup rate
Answer is 40%
Step-by-step explanation:
What is a prime polynomial?
Answer:A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial . Example 1: x2+x+1.
Step-by-step explanation:
Answer:
A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial . Example 1: x2+x+1.
what is the y intercept of this line
Answer:1
Step-by-step explanation:
How Do You Find the X- and Y-Intercepts of a Line in Slope-Intercept Form? To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. The Y-Intercept of a line is the point where a line's graph intersects (crosses) the Y-axis. A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0, 3). A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0, -4).
The value of cos47° is equal to
Answer:
Decimal form = 0.68199836
A local television station sends out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were 300 responses with the following results:
90 were interested in a interview and documentary, but not reruns
12 were interested in an interview show and reruns, but not a documentary
42 were interested in reruns but not an interview show
72 were interested in an interview show but not a documentary
30 were interested in a documentary and reruns
18 were interested in an interview show and reruns
24 were interested in none of the three
Required:
How many are interested in exactly one kind of show?
Answer:
144
Step-by-step explanation:
The best way to attempt this question is to solve it using a Venn diagram
From the given information, Let;
D = documentaries
I = interview shows
G = game show reruns
From the images attached below, we will see how the Venn diagrams are being drawn step by step and calculated.
i.e
= 300 - (90 + 60 + 24 + 6 + 12 + 18 + 24)
= 300 - 234
= 66
∴
No of those interested in exactly one kind of show = 66 + 60 + 18
= 144
∴[tex]\text{144 are interested in exactly one kind of show.}[/tex]
How is a decimal changed into a percent?
Divide by 100 and add a percent sign.
Move the decimal two places to the right, multiply by 100 and then add a percent sign.
Move the decimal two places to the right and add a percent sign.
Move the decimal two places to the left and add a percent sign.
Answer:
Move the decimal two places to the right and add a percent sign.
Step-by-step explanation:
.15= 15%
1.25= 125%
.06= 6.0, or 6%
Answer:
To convert a percent to a decimal, we move the decimal point 2 places to the left, just as we did when we were dividing by 100.
Step-by-step explanation:
Rearrange b = c + xd to make x the subject of the formula.
Answer: x = (b-c)/d
Step-by-step explanation:
xd + c = b
xd = b-c
x = b-c/d
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=21(1.08)^x
Answer:
It represents growth, and the percentage rate of increase is of 8%
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which A(0) is the initial amount and r is the rate of change, as a decimal. If positive, it is growth, if negative, it is decay.
In this question:
[tex]y = 21(1.08)^x[/tex]
So
[tex]1 + r = 1.08[/tex]
[tex]r = 0.08[/tex]
Since r is positive, it represents growth, and the percentage rate of increase is of 0.08*100% = 8%
What is the image of (-8,-7) after a dilation by a scale factor of 2 centered at the origin?
Answer:
The image is (-16,-14)
Step-by-step explanation:
Given
Represent the point with A
[tex]A = (-8,-7)[/tex]
[tex]Scale\ factor = 2[/tex]
Required
Determine the image (A')
The image is calculated as:
[tex]A' = A * Scale\ factor[/tex]
[tex]A' = (-8,-7) * 2[/tex]
So, we have:
[tex]A' = (-8* 2,-7* 2)[/tex]
[tex]A' = (-16,-14)[/tex]
Hence, the image is (-16,-14)
A recent study estimated that 68% of US adults enjoy reading a book while relaxing. How many adults are required
for a random sample to obtain a margin of error of at most 0.05 with 90% confidence?
A.236
B.271
C.335
D.578
Answer:
Step-by-step explanation:
236, did on edge
Bob gets the following homework grades:
2, 2, 2, 2, 2, 10, 10, 10, 10, 10.
Tom gets the following homework grades:
7, 7, 7, 7, 7, 7, 7, 7, 7, 7
Pat gets the following homework grades:
1, 1, 8, 8, 8, 8, 8, 8, 10, 10
Required:
Find the mean homework grade for each student, find the median homework grade for each student, and ESTIMATE the standard deviation for each student.
Step-by-step explanation:
for bob;
his grades = 2, 2, 2, 2, 2, 10, 10, 10, 10, 10.
total = 60
mean = total/n
= 60/10 = 6
meadian is the middle value in the set of scores. the numbers are even so =
2+10 / 2
median = 12/2 = 6
standard deviation using excel = 4.216
for tom
7, 7, 7, 7, 7, 7, 7, 7, 7, 7
total = 70
mean = 70/10 = 7
median = 7+7/2 = 14/2 = 7
standard deviation using excel = 0
for pat:
1, 1, 8, 8, 8, 8, 8, 8, 10, 10
total = 70
mean = 70/10 = 7
median = 8+8/2 = 16/2 = 8
standard deviation using excel = 3.265
In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.
Many pundits claim that the worst is yet to come, with an earthquake 200,010 times
as intense as the 1906 earthquake ready to hit San Francisco. If the pundits ability
to predict such earthquakes were correct, what would be the magnitude of their
claimed earthquake? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST
What is the correct standard form of the equation of the parabola?
Enter your answer below. Be sure to show each step of your work.
Answer:
Step-by-step explanation:
the standard form for an equation of a parabola is y = a[tex]x^{2}[/tex] + bx + c
also standard form is (x-h)^2 = 4p(y-k)
-(x+3)^2 =4(y-3) for the shown parabola
52.76= 52+0.7+____
i hate this app a bit
Answer:
52.76= 52+0.7+52.76
Step-by-step explanation:
The mean monthly temperature for the year 1900 is 53.75. The Mean Absolute Deviation for the temperatures in 1900 is approximately 15 degrees The mean monthly temperature for the year 2017 is 56.25 degrees. The Mean Absolute Deviation for the temperatures in 2017 is 13.7 Is there a meaningful difference between the two mean monthly temperatures? Your answer must reference the number of MADs that separate the two means.
Answer:
the mean is 4.86 & the mad is 1.91 hope this helped you and pls give me the Brainly crown
Step-by-step explanation: