Answer:
[tex]a_{75}=-58[/tex]
Step-by-step explanation:
This is an arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where d is the common difference and n is the index of any given term.
For the given sequence, the common difference is -1:
[tex]15-16=-1\\14-15=-1[/tex]
Knowing both the common difference and the first term, you can write the equation for this sequence:
[tex]a_n=16+(n-1)(-1)[/tex]
Then you can use that equation to find the 75th term:
[tex]a_{75}=16+(75-1)(-1)\\a_{75}=16+(74)(-1)\\a_{75}=16-74\\a_{75}=-58[/tex]
Find the 12th term of the geometric sequence.
15, 30, 60, ...
Answer:
465
Step-by-step explanation:
The way I thought about it was I subtracted 30 from 15 and got 15. Then I subtracted 60 from 30 and got 20. My conclusion is you continue to add 5 more to what you added before. 15, 30, 60, 85, 115, 150, 190, 235, 285, 340, 400, 465.
Nine out of ten students prefer math class over lunch. How many students do not prefer math if 200 students were asked
Answer:
i think probably 20
Step-by-step explanation:
if 200 students, students do not prefer math 10/100 × 200 = 20
Please help me Find the slope and please help me no links or bots please and thank you please actually help
Answer: slope for that is 1/2
Step-by-step explanation: rise over run y2-y1 x2-x1
The following graph shows a proportional relationship.
What is the constant of proportionality between yyy and xxx in the graph?
Answer:
The constant of proportionality is thus 1
Step-by-step explanation:
Note that the green line passes through (6, 6) and has a y-intercept of 0. Thus, the equation of the line is y = (6/6)x + 0, or y = x, or y = 1x.
The constant of proportionality is thus 1, which is also the slope of this line.
Once the prompt in image is read answer choices are:
A. -0.9
B. -0.4
C. 0.4
D. 0.9
What is the slope of the graph of
y= 5/2x+3?
-
Answer:
The slope would be 5/2.
Step-by-step explanation:
Use the formula Y=mx+b. m always represents the slope and the b is the intercept. Therefore the slope of this would be 5/2.
What is the slope and and y-int of y≤3
Answer:
0
I hope this is the correct answer
Answer: Slope = 0, y-intercept = 3
Step-by-step explanation:
The inequality is a horizontal line, where everything below 3 is agrees with the inequality
The slope of any flat line is 0, and the y-intercept is always the constant (y=mx+b) in slope-intercept form, in this case it is 3
this question
please help please
m=n+4b
Answer:
m=n+4b:- b=m-n/4.........
A girl goes on an epic 9-hour snowshoeing truck, and her velocity time graph is shown below, with velocity shown in miles per hour and time shown in hours.
A. When is her velocity at its maximum? What is that maximum velocity?
B. How far did she travel during the first 3 hours?
C. How far does she travel during her entire hike?
D. What is her average velocity during the hike?
a) She reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].
b) The girl travels a distance of 6 miles in the first 3 hours.
c) The girl travels a distance of approximately 22.283 miles during her entire hike.
d) The average velocity of the girl is approximately 2.476 miles per hour.
a) The maximum velocity represent the maximum value in the vertical axis reached by the girl in time. According to the graph, she reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].
b) Travelled distance is represented graphically by the area below the curve and above the time axis. The travelled distance ([tex]\Delta x[/tex]), in miles, during the first 3 hours is represented by the area of a rectangle, that is to say:
[tex]\Delta x = v(3)\cdot \Delta t[/tex] (1)
Where:
[tex]\Delta t[/tex] - Time interval, in hours.[tex]v(3)[/tex] - Final velocity, in miles per hour.If we know that [tex]\Delta t = 3[/tex] and [tex]v(3) = 2[/tex], then the travelled distance in the first 3 hours is:
[tex]\Delta x = (2)\cdot (3)[/tex]
[tex]\Delta x = 6\,mi[/tex]
The girl travels a distance of 6 miles in the first 3 hours.
c) The travelled distance is determined by the following geometric expression:
[tex]\Delta x = v(3)\cdot t_{1} + 0.5\pi\cdot [v(5)-v(3)]^{2}+0.5\cdot v(3)\cdot (t_{2}-t_{1})[/tex] (2)
If we know that [tex]v(3) = 2[/tex], [tex]t_{1} = 7[/tex], [tex]v(5) = 4[/tex] and [tex]t_{2} = 9[/tex], then the travelled distance is:
[tex]\Delta x = 2\cdot 7 + 0.5\pi\cdot (4-2)^{2}+0.5\cdot 2\cdot (9-7)[/tex]
[tex]\Delta x \approx 22.283\,mi[/tex]
The girl travels a distance of approximately 22.283 miles during her entire hike.
d) The average velocity ([tex]\bar v[/tex]), in miles per hour, is obtained by dividing the traveled distance ([tex]\Delta x[/tex]), in miles, found in c) by time.
[tex]\bar v = \frac{\Delta x}{\Delta t}[/tex] (3)
If we know that [tex]\Delta x \approx 22.283[/tex] and [tex]\Delta t = 9[/tex], then the average velocity of the girl is:
[tex]\bar v = \frac{22.283}{9}[/tex]
[tex]\bar v \approx 2.476\,\frac{mi}{h}[/tex]
The average velocity of the girl is approximately 2.476 miles per hour.
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What is the y-intercept of y = 4x? Choose 1 answer:
Answer:
B (0,0)
Step-by-step explanation:
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept y=mx+b. Using the slope-intercept form, the y-intercept is 0. b=0
The y-intercept of y=4x is (0, 0)
Option B is correct
Y-intercept of a linear equationThe slope-intercept of a line is given as:
y = mx + c
where m represents the slope
c represents the y-intercept
The given equation is y = 4x
To find the y-intercept, substitute x = 0 into the equation and solve for y
y = 4(0)
y = 0
Therefore the y-intercept of y=4x is (0, 0)
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The scale model of a building is 8.5 inches tall. How tall is the actual building if the scale
used for the model is 1 inch = 150 feet?
Answer:
1,275
Step-by-step explanation:
Answer:
1275
Step-by-step explanation:
you do 8.5 multiplied by 150
Plz Heeeeelp! 25 POINTS! I'm so desperate I made two of these worth 25 points!
Answer:
The answer is B, f(x)=5(2/5)^(z)
Step-by-step explanation:
I did the graphs for all of them and graph B was identical to the one in the picture.
Answer:
(b) f(x) = 5(2/5)^x
Step-by-step explanation:
All of the offered choices agree that the multiplier of the exponential factor is 5. When x=1, the exponential factor must have a value of 2/5 in order to make the function value be 2 at that point.
That is, ...
f(1) = 5(2/5)^1 = 5(2/5) = 2
You can get there either by using x=1 in each of the offered answer choices, or by observing that the ratio between f(1) and f(0) is 2/5.
f(x) = 5(2/5)^x
what is the answer in simplest form and is it real or imaginary?
Answer:
12.292 or 1.708
Step-by-step explanation:
1#60 - (2 • (x + 7)2 + 4) = 0
2# -2x2 - 28x - 42 = -2 • (x2 + 14x + 21)
3#x2 + 14x + 21 = -2 • (x2 + 14x + 21) = 0
[tex]\\ \sf\longmapsto -60=2(h+7)^2+4[/tex]
[tex]\\ \sf\longmapsto 2(h^2+14h+49)=-64[/tex]
[tex]\\ \sf\longmapsto h^2+14h+49=-66[/tex]
[tex]\\ \sf\longmapsto h^2+14h+115=0[/tex]
h has imaginary rootsJulia wants to make a vegetable garden in her backyard for 6 different vegetables. She makes 6 sections in the
garden. The dimensions of the garden are 3 sections long by 2 sections wide. Each section is in the shape of a
square. The area of the vegetable garden is 73.5 square feet. What is the length of the vegetable garden?
Answer:
36.75 square feet
Step-by-step explanation:
First, we can divide 73.5 into 6 to calculate area for each section. We get the answer of 12.25. Next, it says that the garden is 3x2 sections, so we multiply 12.25 by 3 to get a total of 36.75
The Julia wants to make a vegetable garden in her backyard length of the vegetable garden is 10.5 feet.
The garden is divided into 6 sections.
The dimensions of the garden are 3 sections long by 2 sections wide.
Each section is in the shape of a square.
The area of the vegetable garden is 73.5 square feet.
Let's denote the side length of each square section as "s". Since there are 6 sections, the area of the vegetable garden can be calculated as:
Total Area = Number of Sections × Area of One Section
73.5 = 6 × s²
Now, solve for the side length "s":
s² = 73.5 / 6
s² = 12.25
Taking the square root of both sides:
s = √12.25
s = 3.5 feet
Since each section is a square and has a side length of 3.5 feet, the dimensions of the garden are 3 sections long by 2 sections wide, which translates to:
Length = 3.5 feet/section ×3 sections = 10.5 feet
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Using Trig to Find a Side
The value of the length x in a given triangle by using the trigonometry formula would be 9.6 units.
Given that,
A triangle UVW is shown in the image with sides and angles,
vw = 6.4
uv = x
And, ∠wuv = 42°
Used the trigonometry formula which states that,
[tex]\text{ sin x} = \dfrac{\text{ Opposite}}{\text{ Hypotenuse}}[/tex]
Here, we have;
An angle ∠wuv = 42°.
So, we get;
[tex]\text{ sin 42} = \dfrac{\text{ vw}}{\text{ uv}}[/tex]
Substitute given values,
[tex]\text{ sin 42} = \dfrac{\text{ 6.4}}{\text{ x}}[/tex]
Since, sin (42°) = 0.67
Hence,
[tex]0.67 = \dfrac{6.4}{x}[/tex]
Multiply by x on both sides,
[tex]0.67 \times x = 6.4[/tex]
Divide both sides by 0.67, we get;
[tex]x = \dfrac{6.4}{0.67}[/tex]
[tex]x = 9.55[/tex]
Round to the nearest tenth,
[tex]x = 9.6[/tex]
So, the value of x is 9.6 units.
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Maya has to type a document of 2160 words. The graph below shows her initial progress. If
she continues at the same speed, how much time will Maya take to type the document?
The time it takes to type the document increases proportionately to the
number of words in the document.
The time it would take to type the document is; 36 minutesReasons:
From the possible figure from a similar question, we have;
The points on the graph are; (0, 0), (1, 60), (2, 120), (3, 180), (4, 240)
The graph is a straight line, therefore, given that the starting point is at the origin, using the points, (0, 0), (1, 60), we have;
The slope of the graph = 60
The y-intercept = 0
The equation that represents the proportional relationship shown on the graph is therefore;
y = 60·x
Where;
y = The number of words
x = The time it takes to type the document
The time it would take Maya to type the document of 2,160 words is given as follows;
2,160 = 60·x
Therefore;
[tex]\displaystyle Time, \ x = \frac{2,160 \ words}{60 \ words/minute} = \mathbf{36 \ minutes}[/tex]
The time it would take Maya to type the document is x = 36 minutes
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if one rents a car from Airport Rent-a-Car, the charge is $79 plus 7 cents a kilometer. Savings Rent-A-Car charges $59 plus 9 cents a kilometer. If one will drive d kilometers, when is it cheaper to use Savings Rent-A-Car?
It will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.
Given that if one rents a car from Airport Rent-a-Car, the charge is $ 79 plus 7 cents a kilometer, while Savings Rent-A-Car charges $ 59 plus 9 cents a kilometer, to determine, if one will drive D kilometers , when it is cheaper to use Savings Rent-A-Car, the following calculation must be performed:
79 + 0.07 x 30 = 79 + 2.1 = 81.1 59 + 0.09 x 30 = 59 + 2.7 = 61.7 79 + 0.07 x 300 = 100 59 + 0.09 x 300 = 86 79 + 0.07 x 600 = 121 59 + 0.09 x 600 = 113 79 + 0.07 x 900 = 142 59 + 0.09 x 900 = 140 79 + 0.07 x 1000 = 149 59 + 0.09 x 1000 = 149
Therefore, it will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.
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Twenty is what percent of 25?
Answer:
80%
Step-by-step explanation:
20:25*100 =
(20*100):25 =
2000:25 = 80
Now we have: 20 is what percent of 25 = 80
Question: 20 is what percent of 25?
Percentage solution with steps:
Step 1: We make the assumption that 25 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=25$.
Step 4: In the same vein, $x\%=20$.
Step 5: This gives us a pair of simple equations:
$100\%=25(1)$.
$x\%=20(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{25}{20}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{20}{25}$
$\Rightarrow x=80\%$
Therefore, $20$ is $80\%$ of $25$.
Hopes This Helps :)
Fill in the table. What is the distance that David traveled going to his friend’s house and returning home?
Answer:12 and 12 hope this helps :)
Step-by-step explanation:
Answer:
mark her brialyist i cant spell lol
Step-by-step explanation:
A laser printer prints 9 pages per minute. Martha refilled the paper tray after it had printed 92 pages. In how many more minutes will there be a total of 245 pages printed?
17 minutes
hope this helps!
Simplify this question
[tex]3 + \sqrt{ - 12} \\ = 3 + \sqrt{ 2 \times 2 \times - 3} \\ = 3 + 2 \sqrt{ - 3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\\ \sf\longmapsto 3+√-12[/tex]
[tex]\\ \sf\longmapsto 3+√12i[/tex]
[tex]\\ \sf\longmapsto 3+√2(2)(3)i[/tex]
[tex]\\ \sf\longmapsto 3+2√3i[/tex]
Sonal and Gaurav have 2 numbers written on a piece of paper. Sonal's number PQR is divisible by
3 and 4. Gaurav's number STU is divisible by 2 and 9.
The two numbers are joined to form a new 6-digit number PQRSTU as shown.
The number PQRSTU IS DEFINITELY divisible by
A 4 B 6 с 8 D 9
PQRSTU is definitely divisible by 4.
Since Sonal and Gaurav have 2 numbers written on a piece of paper, and Sonal's number PQR is divisible by 3 and 4, while Gaurav's number STU is divisible by 2 and 9, and the two numbers are joined to form a new 6- digit number PQRSTU, to determine the number by which the number PQRSTU is definitely divisible by, the following logical reasoning must be performed:
Since the numbers are not added mathematically, but joined numerically, and that STU is the last number in the row, and that it is divisible by 3 and 4, while only 4 is among the options, the number PQRSTU is definitely divisible by 4.
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NEED HELP LIKE, NOW!! 100 POINTS!!!
You can solve any equation in the form a(x + b) = c without writing out both steps of the two-step solution process.
a. Isolate the variable x, so that it has a coefficient of 1.
b. Use your answer to solve 4(x - 7) = 20.
Answer:
ax+ab-c=0, 12
Step-by-step explanation:
If x=1, then 4(x-7)=20
4x-28=20
add 28 on both sides
48/4=x
x=12
Answer:
this is my answer
Step-by-step explanation:
4(x-7)=20. divide both sides
x-7=5 move the constant to the right
x=5+7. calculate
so the answer is x=12
I hope it helps
How many match sticks will be in the 8th picture?
If one angle of a parallelogram is of measure 70
∘
, find the measures of all the angles of the parallelogram.
Answer:
70, 110, 70, 110
Step-by-step explanation:
If one angle is 70 degrees, the opposite angle is also 70 degrees. The 4 angles add to 360, 360 - 140 = 220. The 220 degrees are split 2 ways for the 2 angles, so they are each 110 degrees.
12 A train in France can travel at a speed
of 217.4 miles per hour. A train in
China can travel 1.23 times this speed.
How fast can the train in China travel
in miles per hour?
I WILL MARK YOU AS BRAINIEST IF YOU ANSWER THIS QUESTION WITH AN ANSWER AND EXPLANATION + 100 points
Answer: 267.402
Step-by-step explanation:
The answer is 267.402 because 217.4 times 1.23 = 267.402.
Answer:
267 mph
Step-by-step explanation:
Multiplication
i hope this helps have a great day :)
Please help me with this question.
Answer:
aww i help u.....
Step-by-step explanation:
my answer is letter ~~B CAUSE STUDEN BIS CONDYCTION LIKR FREE AT THE SCORED
An ice cream store has 31 flavors of ice cream and 10 toppings. A regular sundae has one flavor of ice cream, one topping, and comes with or without whipped cream. How many different ice cream sundaes can be ordered?
Answer:
610
Step-by-step explanation:
31 x 10= different flavour and topping combination
x2 = for the whipped cream different option
If RV = x+6, US = 5x-9, and RS = 11, find VT and ST
The values of VT and ST for the given rectangle are 13 and 23.56 respectively.
The given parameters:
RV = x + 6US = 5x - 9RS = 11The value of VT and ST is calculated as follows;
from the given diagram we can conclude the following;
2RV = RT = US
[tex]2(x + 6) = 5x - 9\\\\2x + 12 = 5x - 9\\\\12 + 9 = 5x - 2x\\\\21=3x\\\\x = 7[/tex]
RT = 2RV = 2VT = 2(7 + 6) = 26
VT = ¹/₂ x 26
VT = 13
The value of ST can be determined from Pythagoras theorem as follows;
[tex]ST = \sqrt{RT^2 - RS^2} \\\\ST = \sqrt{26^2 - 11^2} \\\\ST = 23.56[/tex]
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pls help me
do maths