Answer:
2:30 pm
Step-by-step explanation:
In two hours (from 10am), she is 45 * 2 = 90 miles from vacation cabin.
From then on her average is still 45 mph and her husband's is 65 mph. So, husband catches her 20 miles (65-45=20) in every hour.
The husband has to catch up 90 miles. How long would it take if he is catching up at 20 miles an hour?
90/20 = 4.5 hours
So husband starts at 10am and 4.5 hours form that time is 2.30pm
23. What is the angle of rotation of the following figure?
45
180
60
90
Answer:
i think it is 60 because
Step-by-step explanation:
the angle 45 would make a perfect right angle ever two pedals and these look like they make a perfect 120
A plane can fly 260 miles downwind in the same amount of time as it can travel 190 miles upwind. Find the velocity of the wind if the plane can fly 225 mph in still air.
recall your d = rt, distance = rate * time.
w = rate of the wind
225 = rate of the plane
so the plane flies 260 miles in say "t" hours, with the wind, now, the plane is not really going 225 mph fast, is really going "225 + w" fast because the wind is adding speed to it, likewise, when going against the wind, is not going 225 mph fast is going "225 - w" because the wind is eroding speed from it, and that was also covered in "t" hours
[tex]\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \stackrel{downwind}{\textit{with the wind}}&260&225+w&t\\ \stackrel{\textit{upwind}}{\textit{against the wind}}&190&225-w&t \end{array}~\hfill \begin{cases} 260=(225+w)t\\\\ \cfrac{260}{225+w}=\boxed{t}\\\\ \cline{1-1}\\ 190=(225-w)t \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \stackrel{\textit{substituting \underline{t} in the 2nd equation}}{190=(225-w)\left( \boxed{\cfrac{260}{225+w}} \right)}\implies \cfrac{190}{225-w}=\cfrac{260}{225+w} \\\\\\ 42750+190w=58500-260w\implies 190w=15750-260w \\\\\\ 450w=15750\implies w=\cfrac{15750}{450}\implies \blacktriangleright w=35 \blacktriangleleft[/tex]
If a person eats 1/3 of their meal, what percent have they eaten
The graph of y = ax 2 + bx + c is a parabola that opens up and has a vertex at (-2, 5). What is the solution set of the related equation 0 = ax 2 + bx + c?
Answer:
I have provided two solutions both concluding the same thing.
There is no solution.
Simplest solution says this is a parabola opened up at vertex (-2,5) which means it never crosses the x-axis. There is no solution because thee curve does not touch the x-axis.
Step-by-step explanation:
Harder solution (algebraic solution):
The vertex form a parabola is [tex]y=a(x-h)^2+k[/tex]
We are given the vertex (h,k) is (-2,5)
So we have [tex]y=a(x+2)^2+5[/tex]
Now we also know [tex]a>0[/tex] since the parabola opens up.
That is all we know about a.
Let's see what [tex]y=a(x+2)^2+5[/tex] is in standard form
[tex]y=a(x+2)(x+2)+5\\y=a(x^2+4x+4)+5\\y=ax^2+4ax+4a+5\\\\[/tex]
So we are asked to solve for the solution set of
[tex]0=ax^2+4ax+4a+5\\A=a\\B=4a\\C=4a+5\\\\[/tex]
Plug into quadratic formula
I'm going to write the quadratic formula with the capital letters to be less confusing:
[tex]x=\frac{-B \pm \sqrt{B^2-4AC}}{2A}\\x=\frac{-4a \pm \sqrt{16a^2-4(a)(4a+5)}}{2a}\\x=\frac{-4a \pm \sqrt{16a^2-16a^2-20a}}{2a}\\x=\frac{-4a \pm \sqrt{-20a}}{2a}\\x=\frac{-4a \pm \sqrt{4} \sqrt{-5a}}{2a}\\x=\frac{-4a \pm 2 \sqrt{-5a}}{2a}\\x=\frac{-4a}{2a} \pm \frac{\sqrt{-5a}}{a}\\[/tex]
This says [tex]a[/tex] has to be negative... The inside of the square root... So there was no real solution.\\
\\
Simpler solution (graph/visual)
You could have also drawn a parabola open up with vertex at (-2,5) and we should have seen that it was impossible it cross the x-axis.
Answer:
The answer is impossible so is Ф
Simplify completely quantity 4 x plus 16 over 6
Answer: [tex]\frac{2(x+4)}{3}[/tex]
Step-by-step explanation:
Given the following expression:
[tex]\frac{4x+16}{6}[/tex]
You can notice that the Greatest Common Factor (GCF) in the denominator is 2, then you can factor it out.
Now, observe that the Greatest Common Factor in the numerator is 4, so you can factor it out.
Therefore, you get
[tex]=\frac{4(x+4)}{2(3)}[/tex]
And finally, since [tex]\frac{4}{2}=2[/tex], you get the expression simplified. This is:
[tex]=\frac{2(x+4)}{3}[/tex]
Which table represents a linear function?
Answer: The 3rd from the left.
Step-by-step explanation:
4x – 3y = 17
y-intercept:
2-intercept:
Answer:
y-intercept = -17/3x-intercept = 17/4Step-by-step explanation:
4x - 3y = 17
y-intercept is for x = 0.
x-intercept is for y = 0.
y-intercept:
put x = 0 to the equation
4(0) - 3y = 17
0 - 3y = 17
-3y = 17 divide both sides by (-3)
y = - 17/3
x-intercept:
put y = 0 to the equation
4x - 3(0) = 17
4x - 0 = 17
4x = 17 divide both sides by 4
x = 17/4
How to solve for y and simplify
Answer:
y = [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Given
- 3y = - [tex]\frac{6}{5}[/tex]
Multiply both sides by 5 to eliminate the fraction
- 15y = - 6 ( divide both sides by - 15 )
y = [tex]\frac{-6}{-15}[/tex] = [tex]\frac{6}{15}[/tex] = [tex]\frac{2}{5}[/tex]
If the area under the curve of f(x) = x2 + 2 from x = 1 to x = 6 is estimated using five approximating rectangles and right endpoints, will the estimate be an underestimate or overestimate?
Underestimate
Overestimate
The area will be exact
The area cannot be estimated with just five rectangles
Answer:
Overestimate
Step-by-step explanation:
We draw five rectangles from x = 1 to x = 6, so each rectangle has a width of 1:
(6 - 1) / 5 = 1
We're using right endpoints to determine the height of each rectangle. The first rectangle is from x=1 to x=2, so the height of the rectangle is f(2) = 6. So on and so forth for the other rectangles.
The result is this:
desmos.com/calculator/vrl67vpigt
As we can see, these rectangles have areas outside of the curve, so their total area will be greater than the area under the curve. So this will be an overestimate.
What is the surface area of the right cone below? Help ASAP please
Answer:
176
Step-by-step explanation:
The coordinates G(7,3), H(9, 0), (5, -1) form what type of polygon?
an obtuse triangle
an acute triangle
O an equilateral triangle
a right triangle
Answer:
Is an acute triangle
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
G(7,3), H(9, 0), I(5, -1)
step 1
Find the distance GH
substitute in the formula
[tex]d=\sqrt{(0-3)^{2}+(9-7)^{2}}[/tex]
[tex]d=\sqrt{(-3)^{2}+(2)^{2}}[/tex]
[tex]GH=\sqrt{13}\ units[/tex]
step 2
Find the distance IH
substitute in the formula
[tex]d=\sqrt{(0+1)^{2}+(9-5)^{2}}[/tex]
[tex]d=\sqrt{(1)^{2}+(4)^{2}}[/tex]
[tex]IH=\sqrt{17}\ units[/tex]
step 3
Find the distance GI
substitute in the formula
[tex]d=\sqrt{(-1-3)^{2}+(5-7)^{2}}[/tex]
[tex]d=\sqrt{(-4)^{2}+(-2)^{2}}[/tex]
[tex]GI=\sqrt{20}\ units[/tex]
step 4
Verify what type of triangle is the polygon
we know that
If applying the Pythagoras Theorem
[tex]c^{2}=a^{2}+b^{2}[/tex] ----> is a right triangle
[tex]c^{2}> a^{2}+b^{2}[/tex] ----> is an obtuse triangle
[tex]c^{2}< a^{2}+b^{2}[/tex] ----> is an acute triangle
where
c is the greater side
we have
[tex]c=\sqrt{20}\ units[/tex]
[tex]a=\sqrt{17}\ units[/tex]
[tex]b=\sqrt{13}\ units[/tex]
substitute
[tex]c^{2}= (\sqrt{20})^{2}=20[/tex]
[tex]a^{2}+b^{2}=(\sqrt{17})^{2}+(\sqrt{13})^{2}=30[/tex]
therefore
[tex]c^{2}< a^{2}+b^{2}[/tex]
Is an acute triangle
Answer:
ACUTE !!!!!!!!
Step-by-step explanation:
Consider the triangle.
Which statement is true about the lengths of the sides?
Each side has a different length.
Two sides have the same length, which is less than the
length of the third side.
The three sides have the same length
The sum of the lengths of two sides is equal to the
length of the third side.
For this case we observe that the three angles of the triangle are equal. Also, we have by definition:
A triangle is equilateral, when the three sides have the same length (in addition, the three internal angles measure 60 degrees or[tex]\frac {\pi} {3}[/tex].
Answer:
The three sides have the same length
ANSWER
The three sides have the same length
EXPLANATION
The given triangle has all angles equal to 60°
A triangle that has all angles equal is called an equilateral triangle.
Another property about an equilateral triangle is that, it has all sides equal.
Therefore,the three sides have the same length.
The third option is correct.
Which of the following is the most important piece of information to consider when comparing prices?
A)
The average price of the two items you are comparing
B)
The wholesale price of the item you want to buy.
C)
The amount of income you have
D)
The price per unit of the items you are comparing.
Answer: A) The average price of the two items you are comparing.
Step-by-step explanation:
Because...
When a person goes to a store they look at a item and then compare prices. So for every person price is the important thing that you are comparing. It also depends on your income as well. So choice A and C is almost the same.
Therefor, the correct answer would be A.
* Hopefully this helps:) Mark me the brainliest:)!!!
Solve for x and y
Both questions please ❤️
Answer:
1. [tex]x=18, y=6\sqrt{10}[/tex]
2. x=108, y=180
Step-by-step explanation:
The height of the right triangle drawn to the hypotenuse is the geometric mean of two segments of the hypotenuse (two legs' projections)
1. Use this property, so
[tex]CD^2=AD\cdot BD\\ \\6^2=2\cdot x\\ \\36=2x\\ \\x=18[/tex]
Consider right triangle BCD. By the Pythagorean theorem,
[tex]BC^2=BD^2+CD^2\\ \\y^2=18^2+6^2\\ \\y^2=324+36\\ \\y^2=360\\ \\y=\sqrt{360}=6\sqrt{10}[/tex]
2. Consider right triangleGM*. By the Pythagorean theorem,
[tex]G*^2=GM^2+M*^2\\ \\240^2=GM^2+192^2\\ \\GM^2=240^2-192^2=(240-192)(240+192)=48\cdot 432=144^2\\ \\GM=144[/tex]
Use this property to find x:
[tex]GM^2=192\cdot x\\ \\144^2=192\cdot x\\ \\x=\dfrac{144^2}{192}=108[/tex]
Consider right triangle GMCup. By the Pythagorean theorem,
[tex]y^2=x^2+GM^2\\ \\y^2=108^2+144^2\\ \\y^2=32,400\\ \\y=180[/tex]
If f(x) = 2x^2 + 4, find f(3)
Answer:
f(3)=2(3)^2+4
f(3)=2(9)+4
f(3)=18+4
f(3)=22
Step-by-step explanation:
In this scenario, x=3 so you plug it into the other side of the equation.
ANSWER
[tex]f(3) = 22[/tex]
EXPLANATION
The given given function is
[tex]f(x) = 2 {x}^{2} + 4[/tex]
To find f(3), we substitite x=3 into the function f(x).
This means that wherever we see x in
[tex]f(x) = 2 {x}^{2} + 4[/tex]
we replace it with 3 .
[tex] \implies \: f(3) = 2 ({3})^{2} + 4[/tex]
We evaluate the square to get:
[tex] \implies \: f(3) = 2 ({9}) + 4[/tex]
Perform the multiplication
[tex] \implies \: f(3) = 18 + 4[/tex]
Now add to get:
[tex] \implies \: f(3) = 2 2[/tex]
Solve for x
6(x-1) =9(x+2)
zzzxxzzzzzxzxxxxxxxxxxxx
Answer:
for the first question the answer is dc
Step-by-step explanation:
A grocer takes delivery of beverages from your truck at $6 per case. You unloaded 53 cases for the grocer today. How much does the grocer owe you?
Answer:
Answer:
$6 *53 = $318
Step-by-step explanation:
Answer: $318
Step-by-step explanation:
Given : A grocer takes delivery of beverages from your truck at $6 per case.
If you unloaded 53 cases for the grocer today.
Then the amount of money the grocer owes you will be the product of 53 and 6 .
Thus, the amount of money the grocer owes you= [tex]53\times6=\$318[/tex]
Hence, the grocer owes you $318 .
What is the product of -5x2y4 and -8x6y4?
Answer:
40 x⁸y⁸
Step-by-step explanation:
When multiplying numbers that have powers to the same base, we simply add the indices and multiply the coefficients of the common bases.
To solve -5x²y⁴ multiplied by -8x⁶y⁴, we add the indices that have a common base.
-5x²y⁴× -8x⁶y⁴= (-5)(-8)x⁽²⁺⁶⁾y⁽⁴⁺⁴⁾
=40x⁸y⁸
A negative number multiplied by a negative= positive number
Answer:
product of 5x²y⁴ and -8x⁶y⁴ = 40x⁸y⁸
Step-by-step explanation:
Points to remember
Identities
Xᵃ * Xᵇ = X⁽ᵃ ⁺ ᵇ⁾
Xᵃ/Xᵇ = X⁽ᵃ ⁻ ᵇ⁾
It is given that, -5x²y⁴ and -8x⁶y⁴
To find the product of -5x²y⁴ and -8x⁶y⁴
( -5x²y⁴ ) * ( -8x⁶y⁴) = (-5 * -8) *x² *x⁶ * y⁴ * y⁴
= 40 * x⁽² ⁺ ⁶⁾ * y⁽⁴ ⁺ ⁴⁾
= 40 * x⁸ * y⁸
= 40x⁸y⁸
Jessica and Monte sell bananas at a produce stand. Jessica earns $4 for each crate of bananas she sells. At the end of the week, Monte has earned $15
less than Jessica. The following expression shows Monte's eamings:
4y - 15
In the expression, what does the first term represent?
Answer: A, Jessica's Earning's at the end of the week
Step-by-step explanation: If Jessica earns $4 for every crate she sells that means the first term would be what Jessica earned at the end of the week minus $15 because Monte made $15 dollars less then Jessica
The amount earned by Jessica and Monte are illustrations of a linear function.
The first term represents Jessica's total earnings.
Monte's earning is expressed as:
[tex]\mathbf{4y - 15}[/tex]
From the question, we understand that:
Jessica earns $4 per crate of banana
So, 4y represents Jessica's total earnings.
Hence, the first term represents Jessica's total earnings.
Read more about linear functions at:
https://brainly.com/question/21107621
Find the quotient of (-5+ i)/(-7 + i)
Factor.
x2−5x+6
Enter your answer in the boxes.
x2−5x+6= ( ) ( )
Answer:
Step-by-step explanation:
(x-3)(x-2)
Answer:
(x-3) (x-2)
Did the test on k-12
Simplify 6(x + y) + (x - y).
6x
7x
7x + 6y
7x + 5y
Answer:
7x + 5y
Step-by-step explanation:
6x + 6y + x - y = 7x + 5y
Answer:
The answer would be the last one, or 7x + 5y
Step-by-step explanation:
Distribute the 6: 6x+6y + x - y
Simplifying gives:
7x + 5y
Hope this helps!
PLEASE HELP ME OUT
You are trying to pick 2 elective classes for next year. You would like to take one music class and one physical education class. There are 9 different music classes and 10 different physical education classes offered at your school.
How many different combinations of these elective classes can you select?
Answer:
90
Step-by-step explanation:
There are 9 options for the first choice and 10 options for the second. Multiply them together to get the full number of combinations, which is 90.
Solve #13, Solve for X, please show work!
Step-by-step explanation:
all work is pictured and shown
When Emilio was at the park today, he saw four kites. This is two less than 3 times the number of kites he saw yesterday. Let y equal the number of kites Emilio saw yesterday.
A. 3y - 2 = 4
B. 2 - 3y = 4
C. 2y - 3 = 4
D. 4 - 2 = 3y
Answer: the correct answer is a
The correct equation is "3y - 2 = 4," and the value of "y" (the number of kites Emilio saw yesterday) is 2.
The correct answer is option A.
In this problem, we need to translate the given information into a mathematical equation and then solve for the variable "y," which represents the number of kites Emilio saw yesterday.
We are told that Emilio saw four kites at the park today, and this is two less than three times the number of kites he saw yesterday. In mathematical terms, this can be expressed as:
3y - 2 = 4
Here's the breakdown:
"3y" represents three times the number of kites he saw yesterday.
"3y - 2" represents two less than three times the number of kites he saw yesterday.
"4" represents the number of kites he saw today.
So, option A, "3y - 2 = 4," correctly represents the relationship described in the problem.
To solve for "y," you can isolate the variable by adding 2 to both sides of the equation:
3y - 2 + 2 = 4 + 2
3y = 6
Now, divide both sides by 3 to solve for "y":
(3y)/3 = 6/3
y = 2
In summary, the correct equation to represent the problem is option A, and the value of "y" is indeed 2, as Emilio saw two kites yesterday.
For more such information on: equation
https://brainly.com/question/29174899
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Mary has rehearsed her ballot solo for 5 and 1/2 hours a week from now she wants to have rehearse at least a total of 19 and 1/2 hours if she rehearses for the same amount of time each day for the next 7 days at least how many hours must you rehearse per day
This answer Has been deleted
Evaluate each expression for g = -7 and h = 3 and match it to its value.
1. g + h -10
2. g - h -4
3. h - g -21
4. gh 2
5. g + h2 10
6. g2 - h 46
Answer: -14, -14 ,-11, -42,
Step-by-step explanation:
1. g + h - 10 2. g - h - 4 3. h - g - 21
-7 + 3 -10. -7 -3 -4. 3 + 7 -21
-4 - 10. -10 - 4 10 - 21
-14. -14. - 11
4. gh 2
-7(3) 2
-21 (2)
-42
Find an equation of the line perpendicular to the graph of 28x-7y=9 that passes through the point at (4,1)
Answer:
Step-by-step explanation:
For this case we have by definition, if two lines are perpendicular then the product of their slopes is -1.
[tex]m_ {1} * m_ {2} = - 1[/tex]
We have the following equation:
[tex]28x-7y = 9[/tex]
Rewriting we have:
[tex]28x-9 = 7y\\y = \frac {28x-9} {7}\\y = 4x- \frac {9} {7}[/tex]
The slope of this line is 4.
We found [tex]m_ {2}:[/tex]
[tex]m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {4} = - \frac {1} {4}[/tex]
The new line is of the form:
[tex]y = - \frac {1} {4} x + b[/tex]
We substitute the given point to find the cut point "b":
[tex]1 = - \frac {1} {4} (4) + b\\1 = -1 + b\\b = 2[/tex]
Finally, the equation is:
[tex]y = - \frac {1} {4} x + 2[/tex]
Answer:
[tex]y = - \frac {1} {4} x + 2[/tex]
Please someone help
Answer:
The answer is 7/3 or 2 1/3
Step-by-step explanation:
1) You change the ÷ into x (so it will be 7/9 x 1/3)
2) You flip the 1/3 so it will be 3 ( 7/9 x 3)
3) There you have it the answer is 7/3