Answer:
1 hour
Step-by-step explanation:
Let's assume that Patrick is travelling on a straight line throughout the whole path in order to minimize the distance.
The number of miles that he can travel on a full tank is:
[tex]m = 5\ mpg*4\ gallons\\m=20\ miles[/tex]
The distance travelled by Patrick in one hour (from 2p.m. to 3p.m.) is:
[tex]d^2=6^2+8^2\\d=\sqrt{100}\\ d=10\ miles[/tex]
If he is travelling at 10 miles per hour, and he could travel for a total of 20 miles, then the time remaining before the tank runs out of gasoline is:
[tex]t=\frac{20-10}{10}\\ t=1\ h[/tex]
If he continues at this rate, the gas will last for 1 more hour.
Could u pls show me step by step
Answer:
Area = 36 sq. units
Step-by-step explanation:
The 3 values you need to solve for the area are the top base length, bottom base length, and height.
Top base length = 7 . It's the distance between point A and B.
Bottom base length = 11. It's the distance between points C and D.
Height = 4. It's the perpendicular distance from the top to the bottom base.
The formula to solve the area of a trapezoid (or trapezium, I'm American) is:
A = [tex]\frac{1}{2}h(b_{1} +b_{2})[/tex]
Put in the numbers above for the unknowns and you will get this:
A = [tex]\frac{1}{2}(4)(7 + 11)[/tex]
Simplify:
A= [tex]\frac{1}{2}(4)(18)[/tex]
A = 2(18)
A = 36
So the answer is 36. Hope I helped!
Answer:
36
Step-by-step explanation:
top base= B(x)-A(x)= 10-3= 7
bottom base= C(x)- D(x)= 12-1= 11
height= A(y) - D(y) = B(y)- C(y)= 5-1=4
Area= 1/2(7+11)*4= 36
The radius of a circle is 9 ft. Find its area in terms of pi
Answer:
81pi square feet
Step-by-step explanation:
Area of circle is pi*r^2
= 81pi
Solution,
Radius=9 ft
Area of circle= pi*(r)^2
=pi*(9)^2
=81 pi ft^2
Hope it helps
Good luck on your assignment
What does measuring the spread of a data set tell us, and why is that significant?
Step-by-step explanation:
Measure of spread is used in describing the variability in a sample.
Examples of measure of spread are: Mean, Median and Mode.
A measure of spread helps in giving an idea of how well the mean, or mode, or median, whichever of the three measure of spreads we use, represents the data under consideration. If the spread of values in the data set is large, that means there a lot of variation between the values of the data set. It is always better to have a small spread.
Answer:
Measuring the spread of a data set tells us how far are the values of data set to respect the mean. For example, large mean absolute deviation (MAD) value indicates that the values of data set are very different from the mean, i. e., they are very spread. Therefore, the mean is not representative of the data. On the other hand, in a small spread case, the mean is representative.
Based on the formula that you developed in question 3, what is the area of the circle? How do you know your answer is correct? Explain.
Answer:
πr2
Step-by-step explanation:
The shape changed, but the amount of space inside the shape remained the same. The space inside the parallelogram is the same as the space, or area, inside the circle. The area of the circle is 0.5 × circumference × radius = πr2.
Which two numbers... add to 5 and multiply to -14?
Answer:
-2 and 7
the only factors for 14 is 1,14 and 2,7 so you just see which has a difference of 5.
Hope this helps
Step-by-step explanation:
A triangle with angles of 30, 60, and 90 degrees is drawn. Could all three side measures be the same length? Explain. PLEASE HELP!
Answer:
No they would not because they are all different angles but if they were all the same numbers than yes so this triangle is a scalene that has no angles that are the same
Which expression is equivalent to
Answer:
A. [tex]x^\frac{5}{3}y[/tex]
Step-by-step explanation:
A new car is purchased for 15700 dollars. The value of the car depreciates at 7.5% per year. To the nearest year, how long will it be until the value of the car is 10100 dollars?
It will take almost 6 years to depreciate the value of the car to 10100 dollars.
What is Depreciation?Depreciation is a term used to indicate the decreasing value of an asset over time due to use, unfavorable market conditions and so on.
Initial amount of the car = 15700 dollars
Depreciating percent = 7.5% = 7.5/100 = 0.075
Final amount = 10100 dollars
Number of years taken to depreciate the value of the car to 10100 dollars can be found by the formula,
A = P(1 + r)ⁿ
where A = 10100 dollars, P = 15700 dollars, r = -0.075.
10100 = 15700 (1 - 0.075)ⁿ
10100 / 15700 = (1 - 0.075)ⁿ
0.6433 = (0.925)ⁿ
Taking logarithm on both sides,
㏒ 0.6433 = ㏒ (0.925)ⁿ
We have the power rule for logarithms, ㏒ (mⁿ) = n ㏒(m)
㏒ 0.6433 = n ㏒ (0.925)
n = ㏒ 0.6433 / ㏒ (0.925)
n = 5.658 ≈ 6 years
Hence almost 6 years will be taken to depreciate the value of the car to 10100 dollars.
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у= 6x - b
—3х +1/2y= -3
Answer:
You have to use the subsitution method
Step-by-step explanation:
so it's telling you what the y value is an you have to subsitute 6x-b where the y is.
so the new eqaution would be -3x+1/2(6x-b)=-3
-3x+3x-b=-3
-b=-3
b=3
the b is the in y=x+b
PLEASE HELPPPP
A spherical mold is used to create chocolate candy. What is the volume of the mold?
Leave answer in terms of pi.
Answer:
1774.67π mm³
Step-by-step explanation:
Please find attached to this question, the required diagram.
From the question, we are told we have a spherical mold.
We would find the volume of a spherical mold using the formula for the volume of a sphere.
The volume of a sphere is calculated as : 4/3πr³
From the attached diagram, we are given the Diameter do the spherical mold as: 22mm
Radius of the spherical mold = Diameter ÷ 2 = 22mm÷ 2 = 11mm
The volume of the spherical mold = 4/3 × π × 11³
= 1774.6666667π mm³
Approximately and leaving it in terms of pi (π)= 1774.67π mm³
When solving the equation 3(x – 7) = 2 – x, the property used in the first step is the Question 17 options: A) multiplication property of equality. B) symmetric property. C) distributive property. D) addition property of equality.
Answer:
C) distributive property
Step-by-step explanation:
3(x – 7) = 2 – x
first step is:
3(x-7)= 3x -3*7this is called distributive property
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together
Answer:
Distributive property
Step-by-step explanation:I took the test
A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.
Answer:
A is TRUE (44 in²*2=88 in²)
B is FALSE x(x-3)=88 (the rectangle) or x(x-3)/2=44 (the triangle)
C is TRUE if x(x-3)=88==>x²-3x-88=0
D is TRUE :
x²-3x-88=0
Δ=9+4*88=361=19²
==>x= 11 or x=-8 (excluded for <0)
E is FALSE for 11*4≠88
Step-by-step explanation:
correct me if i am wrong
A,C, D.
because i got it right!
Rachelle is watching a bug crawl toward her on a sidewalk. As the bug gets closer to her, she stomps her foot to startle the bug, which becomes stationary for some time and then crawls away from her quickly. The graph shows the bug's distance from Rachelle.
What is the range of the graph?
please help this depends on my grade
Answer:
D) 100 ≤ y ≤ 400
Step-by-step explanation:
Plato
Triangles F H G and K J G share common point G. The lengths of sides H G and G J are congruent. Angles F H G and K J G are right angles.
Can you conclude that triangle GHF is congruent to triangle GJK? Explain.
yes, by ASA
yes, by AAS
yes, by AAA
not enough information given
the answer is D
Answer:
D.) not enough information given
Step-by-step explanation:
It is 100% correct on Edgeunity June 2020
Option A. yes by ASA is correct.
Triangles F H G and K J G share common point G. The lengths of sides H G and G J are congruent. Angles F H G and K J G are right angles.
Similar triangles, are those triangles which have similar properties,i.e. angles and proportionality of sides.
Since we have one angle FHG and angle KJG and one side from both triangle HG = GJ equal
so the angle opposite to equal side must be equal. i.e.
Angle HFG = Angle JKG
hence , triangle is congruent by ASA
Thus, Option A. yes by ASA is correct.
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the _______ is the process of adding interest to the capital during specific periods indicated
The congressional Record is the process of adding interest to the capital during specific periods indicated.
At an ice cream shop, the profit, P(c), is modeled by the function P(c) = 0.87c, where c represents the number of ice cream cones sold. An appropriate domain for this function is
please help!!
Answer:
2. an integer > 0
Step-by-step explanation:
At an ice cream shop, the profit, P(c), is modeled by the function ;
P(c) = 0.87c. An appropriate domain for this function is an integer [tex]\geq[/tex] 0.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
At an ice cream shop, the profit, P(c), is modeled by the function ;
P(c) = 0.87c,
where c represents the number of ice cream cones sold.
An appropriate domain for this function is an integer [tex]\geq[/tex] 0.
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Type the slope-intercept equation of the line that passes through the points (5,7) & (0,6)
Solve for x in the diagram below.
Answer:
x = 34
Step-by-step explanation:
The 3 labeled angles create a straight line, so that means they will add up to 180°.
(x + 12) + 100 + x = 180
2x + 112 = 180
Subtract 112 from both sides.
2x = 68
Divide both sides by 2.
x = 34
The value of x in the figure is, 34.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We know that;
A straight line make an angle 180°.
Hence, By the figure we get;
⇒ (x + 12)° + 100° + x° = 180°
⇒ x + 12 + 100 + x = 180
⇒ 2x + 112 = 180
⇒ 2x = 180 - 112
⇒ 2x = 68
⇒ x = 34
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30 points!
The table shows the number of miles driven over time. Express the relationship between distance and time in a simplified form as a unit rate.
Time (hours): 4, 6, 8, 10
Distance (miles: 188, 282, 376, 470
Answer:
47 miles per hour
Step-by-step explanation:
Answer:
The unit rate for the amount of miles driven every hour is is 1:47
Step-by-step explanation:
188 / 4 = 47
282 / 6 = 47
376 / 8 = 47
470 / 8 = 47
Note that the symbol / is the equivalent of a division sign in math.
can anyone rewrite quadratic function in standard form?
Answer:
hey I believe standard form would look like this: f(x) = a(x - h)^2 + k
this is regular form f(x)=ax^2+bx+c or something like x^2+4x+4.
I think H and K are the vertex
hope this is close to what your looking for.
Step-by-step explanation:
I think it's x^2+6x-18
Should the graph of x+3y<-8 be shaded above or below the boundary line ?
Answer:
It will be below the boundary line
Which of the following is true for the statement "7 is an odd number"? Question 5 options: A) It's both an open and closed statement. B) It's an open statement. C) It's a compound statement. D) It's a closed statement.
Answer:
Answer is C It's a compound statement
Step-by-step explanation:
Hope this helps!
Good luck!
Answer:
anser is C
Step-by-step explanation:
Suppose a telephone poll is conducted by contacting U.S. citizens via landlines about their view of gay marriage. Suppose over 50% of those called do not support gay marriage. Does that mean that you can say over 50% of all people in the U.S. do not support gay marriage? Explain.
Answer:
No
Step-by-step explanation:
The only people who were contacted were those with a landline, which is not the entire U.S. Because of the cell phone, there are many in the U.S. who do not own a landline, so this does not represent the entire U.S. population.
Micah is buying gravel for a tock garden that will be
edged by a circuar metal border. She will use 110 feet of
metal edging for the border. What is the area of the
garden? Use 3.14 for pi.
Answer:
Area= 15,414.0127
Step-by-step explanation:
See picture attached
What is m
Enter your answer in the box.
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans as brainliest but if u think it has really helped u plz don't forget to thank me...
So the value of X is 50 degree
Look at the attached picture
Hope it will help you
Good luck on your assignment...
Susanna is buying lunch for her friends at a restaurant the bill is $50 and she wants to leave an 18% tip P equal the total amount of Suzanne is P which equation can you use to find P
Hope I helped you
And also rate it if it helps
Can someone help me with this question?
Answer:
nope
Step-by-step explanation:
lol this is a joke dont take it srsly
A fair spinner has four colors: red, blue, yellow, and green. What is the probability of spinning red,
then blue?
Leave your answer in fraction form lowest terms.
Answer:
1/4
the fair spinner has four colors.
1.red
2.blue
3.yellow
4.green.
and red is 1 . Total number of outcome is 4.
Answer:
the sum is 1
Step-by-step explanation:
right on edge
Subtract 5x2+2x-11 from 3x2+8x-7.Express the result as a trinomial.
Answer:
-2x^2 +6x +4
Step-by-step explanation:
3x^2+8x-7 - (5x^2+2x-11)
Distribute the minus sign
3x^2+8x-7 - 5x^2-2x+11
Combine like terms
3x^2 - 5x^2+8x -2x+11-7
-2x^2 +6x +4
The system of linear equations y = 2 x minus 1 and y = negative 4 x minus 1 is graphed below. What is the solution to the system of equations? (0, –1) (–1, 0) (0, 1) (1, 0)
Answer:
0,-1
Step-by-step explanation:
Answer:
It is (0,-1)
Step-by-step explanation:
I just did it no kapp
