Answer:
a) yes
b) yes
c) days
d) equation: 18 - 0.8x =1.2
solution: 21
e)inequality: equation: 18 - 0.8x [tex]\geq[/tex]1.2
solution: x < 21. This means that if he drives for less than 21 days the warning sign won't turn on.
Step-by-step explanation:
a) 18 - 15*0.8 = 6 so yes
b) 18 - 20*0.8 = 18 - 16 = 2
d) 18 - 0.8x =1.2
0.8x = 16.8
x = 16.8/0.8 = 21
Final answer:
a. No, the car cannot go 15 days without the warning light turning on. b. No, the car cannot drive 20 days without the light coming on. c. 'T' in the expression 18 - 0.8t stands for the number of days of fuel usage. d. Diego's car can go 21 days before the warning light turns on. e. The inequality 18 - 0.8t > 1.2 represents the situation.
Explanation:
a. To determine if Diego's car can go 15 days without the warning light turning on, we need to find out how much fuel will be left after 15 days of usage. Each day the car uses 0.8 gallons of fuel, so after 15 days, the car will have used 15 * 0.8 = 12 gallons of fuel. Starting from a full tank of 18 gallons, the remaining fuel after 15 days will be 18 - 12 = 6 gallons. Since the warning light comes on if the remaining fuel is 1.2 gallons or less, Diego's car will not be able to go 15 days without the warning light turning on.
b. To determine if Diego's car can drive 20 days without the light coming on, we follow the same steps as in part a. After 20 days, the car will have used 20 * 0.8 = 16 gallons of fuel. Starting from a full tank of 18 gallons, the remaining fuel after 20 days will be 18 - 16 = 2 gallons. Since the remaining fuel is less than 1.2 gallons, the warning light will turn on before 20 days.
c. In the expression 18 - 0.8t, 't' represents the number of days of fuel usage.
d. To determine the number of days Diego's car can go before the warning light turns on, we need to solve the equation 18 - 0.8t = 1.2. Rearranging the equation, we have 0.8t = 18 - 1.2, which simplifies to 0.8t = 16.8. Dividing both sides by 0.8, we get t = 21. So Diego's car can go 21 days before the warning light turns on.
e. To write an inequality that represents this situation, we can say that the remaining fuel after t days should be greater than 1.2 gallons. This can be expressed as 18 - 0.8t > 1.2. Solving this inequality, we get t < 21. This means that Diego's car can go up to 20 days before the warning light turns on, but on the 21st day, the warning light will turn on.
y= 89.5 + 0.409x Is a line of regression corresponding to a set of data which compares.
The number of commuters to number of paelinf spots at a given station.
The Metro-North Station of Greenwich, CT, has 2804 commuters. Find the predicted number of parking spots at the Metro-North Station.
A.) 1057 spots
B.) 2894 spots
C.) 6637 spots
D.) 1237 spots
Answer:
D.) 1237 spots
Step-by-step explanation:
We have been given the following regression line;
y= 89.5 + 0.409x
It is reasonable to argue that the number of commuters determines the number of parking spots and as such commuters is our explanatory variable (x). On the other hand, the number of parking spots is our response or dependent variable (y).
We are required to predict the number of parking spots at the Metro-North Station of Greenwich which has 2804 commuters. We are simply asked to determine the value of y when x is 2804 using the regression line;
y = 89.5 + 0.409(2804)
y = 1236.336
y = 1237
2 questions here. What does the equation of line mean on number 7? And how do I do 8?
Equation of line is doubling
Which equation matches the function shown in the graph? A) y = x + 4 B) y = 4x + 2 C) y = 2x + 4 D) y = -2x + 4
The equation that matches the function shown in the graph is y = 2x + 4
Which equation matches the function shown in the graph?
From the question, we have the following parameters that can be used in our computation:
The graph
A linear equation is represented as
y = mx + c
Where
m = slope
c = y-intercept
From the graph, we have the point (0, 4)
This means that
c = 4
So, we have
y = mx + 4
Using the point (-2, 0) on the graph, we have
-2m + 4 = 0
This gives
2m = 4
m = 2
Recall that
y = mx + 4
So, we have
y = 2x + 4
Hence. the equation is y = 2x + 4
Which equation would be help solve the following problem? The height of a triangle is 5m less than its base. The area of the triangle is 42m^2.
Find the length of the base?
42=x(x-5)
42=1/2(x)(x-5)
42=x^2-5
42=1/2(x^2-5)
First correct answer will make brainliest
Answer:
Part 1) [tex]42=\frac{1}{2}x(x-5)[/tex]
Part 2) The length of the base is [tex]x=12\ m[/tex]
Step-by-step explanation:
Part 1) Which equation would be help solve the following problem?
Let
x----> the length of the base of a triangle
y----> the height of a triangle
we know that
The area of a triangle is
[tex]A=\frac{1}{2}xy[/tex]
[tex]A=42\ m^{2}[/tex]
so
[tex]42=\frac{1}{2}xy[/tex] ------> equation A
[tex]y=x-5[/tex] -----> equation B
Substitute equation B in equation A
[tex]42=\frac{1}{2}x(x-5)[/tex]
Part 2) Find the length of the base
we have
[tex]42=\frac{1}{2}x(x-5)[/tex]
solve for x
[tex]84=x^{2}-5x\\x^{2}-5x-84=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]x=12\ m[/tex]
see the attached figure
5 min left please help
Answer: it’s definetly C
Step-by-step explanation:
The answer is C.
Hope this helps!
Help me with this page
Answer:
There is no page!
Step-by-step explanation:
Answer:what page?
Step-by-step explanation:
What graph best represents the solution to the inequality
y−2x>−8
Answer:
A
Step-by-step explanation:
Show proooof, pls!!!!!!
answer for this question is 3.85 units squared
Answer:
[tex]\boxed{\text{38.5 units}^{2}}[/tex]
Step-by-step explanation:
The polygon is a trapezoid on its side.
The formula for the area of a trapezoid is
A = ½(a + b)h,
where a and b are the lengths of the parallel sides and h is the distance between them.
AD = a = 2 – (-2) = 2 + 2 = 4 units
BC = b = 2 – (-5) = 2 + 5 = 7 units
AB = h = 3 – (-4) = 3 + 4 = 7 units
A = ½(4 + 7) × 7 = ½ × 11 × 7 = 38.5 units²
[tex]\boxed{\text{A = 38.5 units}^{2}}[/tex]
How are ordered pairs of a function used to create the graph of the function?
Answer:
These ordered pairs can then be plotted into a graph. A pairing of any set of inputs with their corresponding outputs is called a relation. Every function is a relation, but not all relations are functions. In the example above with the carrots every input gives exactly one output which qualifies it as a function.
Step-by-step explanation:
If the volume of a sphere is 288πcm3, what is the radius of the sphere in centimeters?
Giving brainliest and 30 points!
The formula for volume of a sphere is 4/3 x PI x r^3
Solve for r:
288PI = 4/3 x PI x r^3
Divide both sides by PI:
288 = 4/3 x r^3
Divide both sides by 4/3:
216 = r^3
Take the cubic root of 216 for r:
r = ∛216
r = 6
The radius is 6 cm.
Cheryl is now x years old. Her cousin is ⅓ Cheryl’s age. Find her cousin’s age in terms of x.
x/3= her cousins age
Which of the following is not true regarding sets of numbers ?
D. All rational numbers are integers
All rational numbers are integers
Step-by-step explanation:
The circumference is 90 find the area
Answer:
A≈644.58
Step-by-step explanation:
A rectangular solid has sides of 10 cm, 6.5 cm, and 8.3 cm. What is its volume and surface area? Volume (to the nearest tenth) = cm3 Surface area (to the nearest tenth) = cm2
Answer:
V = 539.5 cm³SA = 403.9 cm²Step-by-step explanation:
The formula of a volume of a rectangular prism:
V = lwh
The fomula of a surface area of a rectangular prism:
SA = 2(lw + lh + wh)
l - length
w - width
h - height
We have l = 10cm, w = 6.5cm and h = 8.3cm. Substitute:
V = (10)(6.5)(8.3) = 539.5 cm³
SA = 2[(10)(6.5) + (10)(8.3) + (6.5)(8.3)] = 2(65 + 83 + 53.95)
= 2(201.95) = 403.9 cm²
2x - 9y=14
[tex]2x - 9y = 14 [/tex]
Answer:
Step-by-step explanation:
first draw you line down on the equal sign take 2x and devide itso it should be 14/2 you should get 7 2x is no longer there then bring down 9y and add d to 14 thats 23 so its x =23
We need to solve for x.
2x - 9y = 14
Move the 9y to the right side and use inverse operations.
2x = 14 + 9y
Divide both sides of the equation by 2.
x = 7 + 9/2y or x = 7 + 4.5y
I will attach a picture of the graph as well in case that’s what you were looking for.
A triangle ABC is inscribed in a circle, such that AB is a diameter. What are the measures of angles of this triangle if: measure of arc AC = 70°.
Answer:
Part 1) The measure of angle C is 90°
Part 2) The measure of angle B is 35°
Part 3) The measure of angle A is 55°
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc it comprises.
step 1
Find the measure of angle C
The diameter divide the circle into two equal parts
so
If AB is a diameter
arc AB=180°
∠C=(1/2)[arc AB]
∠C=(1/2)[180°]=90°
step 2
Find the measure of angle B
arc AC=70°
∠B=(1/2)[arc AC]
∠B=(1/2)[70°]=35°
step 3
Find the measure of angle A
The sum of the internal angles of a triangle must be equal to 180 degrees
so
∠A+∠B+∠C=180°
substitute
∠A+35°+90°=180°
∠A=180°-(35°+90°)
∠A=55°
Which is the correct graph for the function f(x)=3x^2-6x-2
Answer:
see attached picture
Step-by-step explanation:
I got this by using the free app desmos, you should check it out!
last month month Rogers spent 56.00 dollars on games this month he only spent 43.68 dollars he spent blank percent less this month
Answer:
78%
Step-by-step explanation:
a parallelogram has one side that is 9 millimeters and one side that is 13 millimeters. What is the perimeter of the parallelogram?
Answer: The answer would be 44 millimeters.
Step-by-step explanation: A parallelogram has to sets of congruent sides. One set has two sides that are 9 millimeters and the other set has two sides that are 13 millimeters. 9+9 = 18, 13+13= 26 and 18+26= 44!
Final answer:
To calculate the perimeter of the parallelogram with sides of 9 millimeters and 13 millimeters, you add the lengths of opposite sides and multiply by 2. The perimeter is 44 millimeters.
Explanation:
The perimeter of a parallelogram is calculated by adding the length of all four sides. Since a parallelogram has opposite sides that are equal in length, if one side is 9 millimeters and another side is 13 millimeters, the other two sides will also be 9 millimeters and 13 millimeters respectively. The formula to find the perimeter (P) is P = 2(a + b), where a and b are the lengths of the sides.
Using this formula:
Let a = 9 mm and b = 13 mm.
Then, P = 2(9 mm + 13 mm).
P = 2 × 22 mm.
P = 44 mm.
Therefore, the perimeter of the parallelogram is 44 millimeters.
if random samples (of size n) students are taken from a specific school district Michigan and asked about their school involvement what conclusions can we expect to draw from samples?
A we can use the sampling distribution to infer about the behavior of all students in the specific district
B we can use a sampling distribution to infer about the behavior of all students in the Michigan
C we can use the sampling distribution to infer about the behavior of all students in the neighboring school district
D we can use the sampling distribution to infer about the behavior of our students in the US
Answer:
A we can use the sampling distribution to infer about the behavior of all students in the specific district
Step-by-step explanation:
A sample is usually studied or analyzed in order to make inference about the population. It will be more time consuming and costly to study the entire population due to the large number of participants.
In our case, the samples are obtained from a specific school district Michigan. This implies that the researcher is interested in this particular school district and is thus our population of interest. Therefore, we can use the sampling distribution to infer about the behavior of all students in the specific district
We can use the sampling distribution to infer about the behavior of all students in the specific district
find the measure of the arc or central angle indicated
Answer:
230 degrees
Step-by-step explanation:
How do I simplify this equation?
Answer:
[tex]\large\boxed{\sqrt[3]{3^{15}}=243}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{3^{15}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt[3]{3^{5\cdot3}}=\sqrt[3]{(3^5)^3}\\\\\text{use}\ \sqrt[n]{a^n}=a\\\\=3^5=243[/tex]
Someone help me out please
Answer: 2 to 1 and 2;1
Step-by-step explanation:
in general there are 3 ways to write these ratios. A fraction, the one using to, and the ones with semicolans. This is how you will always want to write your ratios on the problems you are solving with your ratios when it asks that.
Answer:
[tex]\frac{2}{1}, 2:1,[/tex]2
Step-by-step explanation:
We can actually use three forms here.
[tex]\frac{x}{y}[/tex]
[tex]x:y[/tex]
x to y.
Use the format for a ratio.
[tex]x:y[/tex]
So
[tex]x=2 \\ y = 1[/tex]
Now we can plug in.
[tex]\frac{2}{1} \\ \\ 2:1 \\ \\[/tex]
2 to 1
Alexander found the means-to-MAD ratio of two data sets to be 0.8.
What can he conclude about the distributions?
They are similar.
They are different.
They are identical.
They are somewhat similar.
Answer:
"They are similar"
Step-by-step explanation:
The means-to-MAD ratio tells how similar two distributions are to each other.
If the ratio is
< 1, this means they are similar
between 1 and 2.5, they are somewhat similar
> 2.5, this means they are different
We see the ratio given is 0.8, which is < 1, so the distributions are similar.
first answer choice is right.
Answer:
The answer is A.
Step-by-step explanation:
Sonja's house is 4 blocks west and 1 block south of the center of town. Her school is 3 blocks east and 2 blocks north of the center of town. Which graph represents this scenario?
If the center of town is the origin then 4 blocks west and 1 block south would be 4 blocks to the left and 1 block down or (-4, -1) house 3 block east and 2 blocks north would be 3 blocks to the right and 2 blocks up or (3, 2) use the distance formula to find the distance between two points. That's all I know! hope this helps!~ just remember to use the distance formula to find the distance between two points.
Answer:
-4,-1 for the house and 3,2 for the school
Step-by-step explanation:
Which equation represents the line that passes through (-8,11) and (4,7/2)?
Answer:
y = -5/8x +6
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/ (x2-x1)
= (7/2 -11)/(4--8)
= (7/2 - 22/2)/(4+8)
= (-15/2)/(12)
= -15/24
Divide top and bottom by 3
-5/8
Then we can use point slope form to write the equation
y-y1 = m (x-x1)
y- 11 =-5/8(x--8)
y- 11 =-5/8(x+8)
Distribute
y-11 =-5/8 x -5
Add 11 to each side
y-11 = -5/8x -5+11
y = -5/8x +6
Using the slope and y-intercept, graph the line represented by the following equation. Then select the correct graph. 2y + 4 = 0
30 POINTS
Answer:Hello there!
2y + 4 = 0
2y = -4
y = -2
My assumption is that you'd graph this as a horizontal line at (0,-2) but PLEASE double check with your teacher/instructor because I'm not sure if I'm right.
Hope this helped!
Step-by-step explanation:
Answer:
Step-by-step explanation:
You'll need to share the graphs mentioned in this problem statement.
One can solve 2y + 4 = 0 for y and thus obtain an equation which is easy to graph:
2y + 4 = 0 becomes
2y = -4, or
y = -2
The graph of this function is the horizontal line y = -2. Find (0, -2) on your set of coordinate axes and plot a dark dot there. Then draw a horizontal line thru it. This line has a slope of zero (0) and a y-intercept of -2.
Please solve this question
There is no question to answer here ?
Answer:
the answer is your mother
What is the sum of n natural numbers: 1+2+...+n?
Answer:
S = 1/2 n (n+1)
Step-by-step explanation:
1 + 2 + 3 + ... + n
Now write in reverse order:
n + n-1 + n-2 + ... + 1
Add together:
n+1 + n+1 + n+1 + ... + n+1
n (n+1)
Since this is double the sum:
S = 1/2 n (n+1)
Answer:
1/2n(n+1)
Step-by-step explanation:
A company car traveled 3,325 miles on a business trip and used 95 gallons of gas. What was the average miles per gallon for the trip?
Answer:
The average would be 35 miles. If you divide 3,325 by 95 then every gallon is 35. Have a nice day
:)
Step-by-step explanation:
Answer:
35 miles per gallon.
Step-by-step explanation:
The simplest way to solve this problem is to just simplify the fraction given to you.