Answer: [tex]\$\ 204.4[/tex]
Step-by-step explanation:
Given
The total length of the trip is [tex]l=1940\ \text{miles}[/tex]
Car average is 28 miles per gallon
So, car requires
[tex]\Rightarrow \dfrac{1940}{28}=69.285\ \text{gallon}[/tex]
Price of gas is $2.95 per gallons
[tex]\therefore \text{cost is =}69.285\times 2.95\\\Rightarrow \$\ 204.4[/tex]
So, the cost of the trip is [tex]\$\ 204.4[/tex]
Jackson is making brownies. He uses the following ingredients.
Ingredients Amount for 1
Batch of Brownies
Flour 3 cups
Sugar 2 cups
Butter 1/3 cup
Cocoa Powder 1/4 cup
Jackson has 1 cup of butter. If he wants to use all the butter, how many batches of brownies can he make?
Part A
Which equation can you use to solve the problem?
A. 1 ÷ 3 = 3
B. 1 ÷ 13 = 3
C. 1 × 13 = 13
D. 1 + 13 = 13
Part B
Jackson used all the butter to make the brownies.
If each brownie is 1/9 of a batch, how many brownies did he make?
Enter your answer in the box.
Answer:
It's B (1÷13=3) for Part a
1 whole is equal to 3/3. One batch of brownies uses up to 1/3 of butter. So 1 ÷ 1/3 = 3.
Step-by-step explanation:
Xác suất thống kê: Người ta tổng kết các phương pháp chẩn đoán dạ dày tá tràng. Trên lâm sàng chẩn đoán đúng 60%; X-quang 70%; nội soi 80%. Kết hợp cả 3 phương pháp thì khả năng chẩn đoán đúng là bao nhiêu?
Answer:
Step-by-step explanation:
iam a gay 345366e2673
1:Under what condition will the line px+py+r=0 mat be a normal to the circke x²+y²+2gx+2fy+c=0
2:prove that the two circles x²+y²+2ax+c²=0 and x²+y²+2by+c²=0 touch if
[tex]\frac{1}{a²}+\frac{1}{b²}=\frac{1}{c²}[/tex]
Answer:
#1The normal overlaps with the diameter, so it passes through the center.
Let's find the center of the circle:
x² + y² + 2gx + 2fy + c = 0(x + g)² + (y + f)² = c + g² + f²The center is:
(-g, -f)Since the line passes through (-g, -f) the equation of the line becomes:
p(-g) + p(-f) + r = 0r = p(g + f)This is the required condition
#2
Rewrite equations and find centers and radius of both circles.
Circle 1
x² + y² + 2ax + c² = 0 (x + a)² + y² = a² - c²The center is (-a, 0) and radius is √(a² - c²)Circle 2
x² + y² + 2by + c² = 0 x² + (y + b)² = b² - c²The center is (0, -b) and radius is √(b² - c²)The distance between two centers is same as sum of the radius of them:
d = √(a² + b²)Sum of radiuses:
√(a² - c²) + √(b² - c²)Since they are same we have:
√(a² + b²) = √(a² - c²) + √(b² - c²)Square both sides:
a² + b² = a² - c² + b² - c² + 2√(a² - c²)(b² - c²)2c² = 2√(a² - c²)(b² - c²)Square both sides:
c⁴ = (a² - c²)(b² - c²)c⁴ = a²b² - a²c² - b²c² + c⁴a²c² + b²c² = a²b²Divide both sides by a²b²c²:
1/a² + 1/b² = 1/c²Proved
Answer:
Answer is in the picture
which of the following is most likely the next step in the series?
Help with both please
Answer:
Step-by-step explanation:
12. To find the carpet needed. Find the area :
The figure is combination of semi circle and a rectangle.
So Area = Area of semi circle + Area of rectangle
[tex]Area \ of \ semi \ circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \pi \times 25 = 39.25 \ ft^2 \\\\Area \ of \ rectangle = Length \times Breadth = 15 \times 10 =150 \ ft^2[/tex]
Area = 150 + 39.25 = 189.25 sq ft
13. Cost per square feet = $$9.95
Therefore cost for 189.25 square feet = 9.95 x 189.25 = $1883.04
(a)
There are 33 liters of orange juice at a school party. 1010 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get?
___liters
Enter your answer as a fraction or a mixed number.
(b)
Write a number sentence that represents the problem.
___________ = __________
In the first box write an equation like 1+11+11+1 . In the second box, write your answer.
PLS DON'T FOR GET TO DO PART B TOO I AM BEGING YOU!
Answer:
a) 30.60
b) 1010/33 = 30.60
Step-by-step explanation:
In the accompanying diagram, ABC is isosceles, BC is extended to D. AB = AC. and M
Answer:
m∠ACD = 130
Step-by-step explanation:
If ABC is an isosceles, AB = AC and m∠A = 80°, then m∠B and m∠C is equal to 50°.
This is because angles in a triangle adds up to 180°.
180° - 80° = 100°/2 = 50°
∴ m∠ACD = 130°, this is because the interior opposite angles in a triangle is supplementary to the opposite exterior angle:
50° + 80° = 130°
Or
Angles on a straight line adds up to 180°.
180° - 50° = 130°
Jenna just got done jumping at the Trampoline center. The total cost of the session was $15.23
She had to pay an entrance fee of $7.25 and $1.45 for every minute she was on the trampoline.
Answer:
≈ 5.5 minutes.
Step-by-step explanation:
Let m = number of minutes on the trampoline.
[tex]1.45m+7.25=15.23\\1.45m=7.98\\m=5.5[/tex]
She was on the trampoline for approximately 5.5 minutes.
Answer:
= 5.5 minutes
Step-by-step explanation:
1.45 + 7.25 = 15. 23
1. 45 = 15. 23 - 7. 25
1. 45 = 7 . 98
m = 5.5
Hope this answer helps you :)
Have a great day
Mark brainliest
Có bao nhiêu hoán vị {1.2….9} mà 4,5,6 không đứng cạnh nhau theo thứ tự tăng dần
Answer:
Yeah buddy
Step-by-step explanation:
Cabs here cabs here cabs here cabs here cabs here
PLS HELP ASAP !!! PLSSS !!
Answer:
x=66 degree
Step-by-step explanation:
x+114 =180 degree (the relation between x and 11 degree is that they are same side interior angles and sum of same side interior angles is always 180 degree)
x=180-114
x=66
Answer:
X= 180-114
(Angles on a straight line adds up to 180°)
x= 66°
Can any one help me on this
point D is the answer
________
Measure the size of the angle between the 9cm and 6cm triangular sides to the nearest degree
Answer:
This is a protractor question if you dont have one then try these on a calculator.
when angle is between two lines we need see where the hypotenuse is in the diagram and where is the adjacent.
And whether the triangle is right angle or not.
Try these
shift sin -1 x sin 9/6 (for opp/hyp)
shift sin -1 (9/6) (for opp/hyp)
shift sin -1 x sin 6/9 (for opp/hyp)
shift sin -1 (6/9) (for opp/hyp)
shift cos -1 x cos 9/6 (for adj/hyp)
shift cos -1 (9/6) (for adj/hyp)
shift cos -1 x cos (6/9) (for adj/hyp)
shift cos -1 (6/9) (for adj/hyp)
shift tan -1 x tan (9/6) ( for opp/adj)
and so on....
Step-by-step explanation:
Please help me on this question, ignore the pencil marks.
The answer choices are
A. 4
B. 5
C. 6
D. 7
E. 8
Fill in the table of values so that this is a proportional relationship with k=3/2 X. Y. *blank*. 0 2. *blank*. *blank*. 6. -2. *blank*
Answer:
x => y
0 => 0
2 => 3
4 => 6
-2 => -3
Step-by-step explanation:
The equation of a proportional relationship is represented as y = kx,
where, k = y/x
We are given that k = ³/2
This means that, equation of the relationship therefore would be:
y = ³/2x
Use this equation to solve for each missing value on the table given:
✔️Where, y = 0, substitute y = 0 into y = ³/2x to find x:
0 = ³/2x
0 * 2 = 3x
0 = 3x
0/3 = x
x = 0
✔️Where, x = 2, substitute x = 2 into y = ³/2x to find y:
y = ³/2(2)
y = 3
✔️Where, y = 6, substitute y = 6 into y = ³/2x to find x:
6 = ³/2x
6 * 2 = 3x
12 = 3x
12/3 = x
x = 4
✔️Where, x = -2, substitute x = -2 into y = ³/2x to find y:
y = ³/2(-2)
y = -3
Please answer this your award will be 20 points for the first answer and brainliest
Step-by-step explanation:
pool = 1600 sq.cm
1600 sq.sm = 50cm × 32cm
AB = 50cm
the area of the park of A'B' :
50cm×4=200 sq.cm
NEED HELP ASAP! Which condition would prove JKL ~ XYZ?
Darrell builds and sells bookcases to earn money. He earns $20 for each bookcase he sells. The more bookcases he sells, the more money he earns. What is the dependent variable in this situation?
Answer: The total amount of money Darrell earns selling bookcases
Answer
Step-by-step explanation:
The dependent variable refers to the variable which is tested or measured or tested when an experiment is done. The dependent variable normally depends on the independent variable.
In this question, the independent variable is the bookcase while dependent variable is the total amount of money Darrell earns selling bookcases.
can anyone help with this trig question?? any help would be greatly appreciated! :)
Answer:
Step-by-step explanation:
Hope this helps u!!
PLS HELP ASAP! Find the Surface Area of the given figure.
THANK YOU!
Answer:
158 m^2
Step-by-step explanation:
l = 5 m, w = 3 m, h = 8 m
S.A. = [tex]2(lw+wh+lh)[/tex]
S.A. = 2{(5)(3) + (3)(8) + (5)(8)}
S.A. = 2(15 + 24 + 40)
S.A. = 2(79)
S.A. = 158 m^2
Hope this help!!!
Have a nice day!!!
What number is exactly halfway between 5/9 and 7/9
Answer:
11/18
Step-by-step explanation:
Directly between 5/9 and 6/9 would be 5.5/9 (or 5 and half ninths. However, you’re not supposed to mix regular fractions and decimal fractions.
So, the easiest way to get the proper answer would be to convert the fractions to eighteenths, which would give you a whole number numerator between the two given fractions.
So, 5/9 = 10/18 and 6/9 = 12/18. What number is directly exactly between 10 and 12? 11.
The storage space in a moving truck is shaped like a rectangular prism. It has a total volume of 16 cubic meters. The height and width are both 2 meters less than the depth. What are the dimensions of the storage space?
Answer:
The dimensions are four by two by two meters.
Step-by-step explanation:
The volume for a rectangular prism is given by:
[tex]V=\ell wh[/tex]
Where l is the length (or depth), w is the width, and h is the height.
Since the height and width are both two meters less than the depth, we can write that:
[tex]h=\ell -2\text{ and } w = \ell -2[/tex]
We are also given that the total volume is 16 cubic meters. Substitute:
[tex]16=\ell(\ell -2)(\ell -2)[/tex]
Expand:
[tex]16=\ell(\ell^2 -4\ell +4)[/tex]
Distribute:
[tex]16=\ell ^3-4\ell ^2+4\ell[/tex]
Isolate the equation. So:
[tex]\ell ^3-4\ell ^2+4\ell -16=0[/tex]
We can factor by grouping. From the first two terms, factor out a l² and from the last two terms, factor out a 4:
[tex]\ell ^2(\ell -4)+4(\ell -4)=0[/tex]
Factor:
[tex](\ell ^2+4)(\ell -4)=0[/tex]
Zero Product Property:
[tex]\ell ^2+4=0\text{ or } \ell - 4=0[/tex]
Solve for each case:
[tex]\ell^2=-4\text{ or } \ell =4[/tex]
Since we cannot take the square root of a negative number, we can ignore the first case.
Therefore, the length (or depth) of the storage space is four meters.
Thus, the dimensions are four by two by two meters.
Classify the following as discrete or continuous random variables.
1. The weight of bags of apples, with 10 apples in each bag.
2. The number of times required for a modem to dial an internet provider before connecting.
3. Out of 10 times connecting to an internet provider, the average number of attempts necessary before connecting.
4. A pair of dice is rolled, and the sum to appear on the dice is recorded.
Answer:
A discrete variable is a variable that can only take some selected given values from a given set, like x ∈ {x₁, x₂, ..., xₙ}
While a continuous variable can take any value in the range, like x ∈ {x₁, xₙ}.
1) The weight of bags of apples, with 10 apples in each bag.
Here the weight depends on the number of apples in the bag, and we can have only whole numbers of apples in the bag, so this is clearly a discrete variable.
2) The number of times required for a modem to dial an internet provider before connecting.
Same as before, here we can have only a whole number of attempts, so this set is discrete.
3) Out of 10 times connecting to an internet provider, the average number of attempts necessary before connecting.
Here we will have an average of 10 integer numbers:
[tex]M = \frac{x_1 + x_2 + ... + x_{10}}{10}[/tex]
so here we have a kinda dense set of possible values, so we can think of this as a continuous variable.
4) A pair of dice is rolled, and the sum to appear on the dice is recorded.
Here the possible values are whole numbers again, so we can not have values like 3.5, so again, this is a discrete variable.
To purchase $14.400 worth of machinery for his business, Greg made a down payment of $1400 and took out a business loan for the rest. After 2 years of
paying monthly payments of $576.18, he finally paid off the loan.
Answer:
below
Step-by-step explanation:
cost of the machinery = $14,400
he paid a deposit of $1400
then later paid $576.18 for two years
two years = 24 months
= $576.18 *24
=$13,828.32
total amount paid
= initial deposit + amount paid in two years
= $1,400 + $13,828.32
=$15,228.32
so he finally paid $15,228.32
interest = selling price - original cost
= $15,228.32 - $14,400
=$828.32
therefore interest = $828.32
Use the distributive property to find a equivalent expression for 6(x+4)
Answer:
6x +24
Step-by-step explanation:
you factor out the 6 so 6x and 6*4 is 24
how to calculate surface area
9514 1404 393
Explanation:
Divide the figure into areas for which you have a surface area formula. Use the appropriate formula for each area, then add up the results.
Formulas are available for surface areas of a cone, cylinder, sphere, pyramid, rectangular prism, and for plane shapes that are circles, ellipses, triangles, rectangles, trapezoids, and regular polygons.
Most of the figures for which you are asked to find the area will decompose to some subset of these shapes. Take care to identify the relevant dimensions of each of the constituent parts of the area, and to make sure that all parts are accounted for. Do not allow your parts of the area to overlap, unless you intend to account for that overlap by subtracting the area that is counted more than once.
Also, use your common sense. A semicircle will have half the area of a circle, for example.
In some cases, it may be expedient to compute the area of a larger figure than the one you have, then subtract the part of that area that is missing from your figure.
96 sq meters
144 sq meters
84 sq meters
102 sq meters
Pls show work I get different answers from people every time
HELPPPPPP don't troll ima report
Answer:
The x-coordinates for which the gradient of the curve is 5 is at x = -1/2 and x = 1/2.
Step-by-step explanation:
We have the function:
[tex]\displaystyle y=\frac{x^2 -1}{x}[/tex]
And we want to find the x-coordinates for which the gradient (or slope) at the point is 5.
The gradients of a curve at a point is given by its derivative. Find the derivative:
[tex]\displaystyle \frac{dy}{dx}=\frac{d}{dx}\left[\frac{x^2-1}{x}\right][/tex]
Use the quotient rule:
[tex]\displaystyle \frac{dy}{dx}=\frac{(x^2-1)'(x)-(x^2-1)(x)'}{(x)^2}[/tex]
Simplify:
[tex]\displaystyle \frac{dy}{dx}=\frac{(2x)(x)-(x^2-1)(1)}{x^2}[/tex]
Simplify:
[tex]\displaystyle \frac{dy}{dx}=\frac{x^2+1}{x^2}[/tex]
Since the gradient is 5, substitute 5 for dy/dx and solve for x:
[tex]\displaystyle 5=\frac{x^2+1}{x^2}[/tex]Multiply both sides by x² (x ≠ 0):
[tex]5x^2=x^2+1[/tex]
Subtract x² from boths sides:
[tex]4x^2=1[/tex]
Solve for x:
[tex]\displaystyle x=\pm\sqrt{\frac{1}{4}}=\frac{1}{2}\text{ or } -\frac{1}{2}[/tex]
So, the x-coordinates for which the gradient of the curve is 5 is at x = -1/2 and x = 1/2.
Có bao nhiêu hoán vị {1.2….9} mà 4,5,6 không đứng cạnh nhau theo thứ tự tăng dần
Answer: razon de ser
Step-by-step explanation:
Tu eres como agua Clara que lluvi del suelo
3. Teacher Carmen is a SPED teacher of children with behavioural problems. One day, she
found one pupil disturbing the rest of the class. Furious of what she saw, she got her
eraser and threw it to her pupil who was hit in the forehead. Do you agree with Teacher
Carmen's action to discipline her pupil?
a. Yes, because she has to correct the mis behaviour immediately.
b. No, because she acted at the height of her anger.
C. Yes, because the pupil's behaviour is disturbing the class and the teaching process.
The Teaching Profession
d. No, because a more appropriate technique can be used to control the behaviour
Answer:
d.
Step-by-step explanation:
No, because a more appropriate technique can be used to control the behaviour
hello guys can you help me with this?
Answer:
Step-by-step explanation:
1. Title of the graph → Comparison of the Plant Growth
2. y-axis represents the height of the plants in centimeters.
3. On day 2:
Height of plant A (plant outside) = 5.1 cm
Height of plant B (plant near the window) = 2.25 cm
4. Plant outside shows great increase in the height.
On day 5,
Height of the plant outside = 6.75 cm
Growth in height from day 2 to day 5 = 6.75 - 5.1
= 1.65 cm
Height of the plant near the window = 2.5 cm
Growth in height of the plant from day 2 to day 5 = 2.5 - 2.25
= 0.25 cm
Therefore, plant outside shows the great increase in height.
5. Plant near the window grew 0.25 cm in height.
