10yx⁵w⁴ - w³v⁵ - 5x¹¹ - 6
Degree = biggest exponent = 11
A few years ago, Simon Powell purchased a home for $200,000. Today, the home is worth $350,000. His remaining mortgage balance is $150,000. Assuming that Simon can borrow up to 80 percent of the market value, what is the maximum amount he can currently borrow against his home?
The maximum amount Simon Powell can borrow against his home is $130,000.
How to calculate the maximum amount that can be borrowed against a homeThe maximum amount Simon Powell can borrow against his home can be calculated using the following formula:
Maximum amount that can be borrowed = (Current value of the home * Percentage of the market value that can be borrowed) - Mortgage balance …………………. (1)
Substituting all the relevant values into equation (1), we have:
Maximum amount that can be borrowed = ($350,000 * 0.80) - $150,000 = $130,000
Learn more about mortgages here: https://brainly.com/question/20715254.
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What is the area of this rectangle?
18 m
9 m
14 sq m
16 sq m
Answer:
14
A = base × height = 2 × 7 = 14
Answer:14
Step-by-step explanation:
Solve for x, please show work!
Answer:
Can you show me the question? Because the picture doesn't have enough datum
Find the perimeter of the figure below
Perimeter=
A population about which we want to get some information is called?
A population about which we want to get some information is called the sample.
What is a sample in a population study?This is a portion of a population that is known to contain several parts of the population. The information that is gotten from the sample would be used to draw conclusion about the entire information.
Therefore from the definition above the answer to the question is the population sample.
Read more on the population sample here:
https://brainly.com/question/17831271
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Find the measure of B
Answer:
<B = 52°
Step-by-step explanation:
The triangle is 180° Angle A and B add up to 118°
4y° + (3y + 7)° = 112°
7y + 7 = 112°
7y = 105
y = 15
Since you solve for y, plug your y into the angles to solve.
<B = 3y + 7
<B = 3 * 15 + 7
<B = 45 + 7
<B = 52°
Money needed to raise $1000, sell a dozen of cookies for $3 a dozen. how many dozen of cookies need to be sold to raise $1000?
Answer:
334 dozen cookies.
Step-by-step explanation:
1000=3x
Let x = dozen of cookies sold
3x=1000
x=1000/3
x=333.33
Since 333.33 isn't a whole number, we need to round it up to 334 since rounding it down to 333 won't raise 1000 dollars.
A triangular pane of glass has a height of 36 inches and an area of 396 square inches. What is the length of the base of the pane?
The length of the base of the pane is blank
inches.
Answer:
see the attachment photo!
Which of the following is a quadratic equation that has the roots x = 2 and x = −7? (4 points)
Answer:
x^2 + 5x - 14
Step-by-step explanation:
We can assume that if there is 2 options for x, this is a quadratic equation that equals 0.
Therefore, we can put this into brackets as one bracket must equal 0.
(x - 2) (x + 7)
After this we expand, which is a process easier to search up
The answer is:
x^2 + 7x - 2x - 14
We can simplify this to:
x^2 + 5x - 14
x^2 represents x squared in case you were wondering
Therefore, the answer is:
x^2 + 5x - 14
Dan has 5 yellow cars. He has 3 red cars. How many cars does he have?
SOMEONE HELP, I’M POSTING EASY QUESTIONS SO YOU CAN EARN EASY POINTS!! NO RANDOM ANSWERS.. I MEAN IT.
Answer:
8
Step-by-step explanation:
5 + 3 = 8
What are the solutions of the equation y = -2x square + 9x - 4
Answer:
x = (-1±i√3)/2
Step-by-step explanation:
y = -2x² + 9x - 4
x = (-b±√(b²-4ac))/2a
x = (2±√((-2)²-4(-1)(-4))/2(-2)
x = (2±√(4-16))/-4
x = (2±√-12)/-4
√-12 = √12 x √-1
√12 = √4√3
2i√3
x = (-1±i√3)/2
What is the area of this composite figure?
Answer:
36.56
Step-by-step explanation:
the area of a circle is r^2×pi (here 2^2×pi) then add the area of the middle rectangle (so 4×6)
Select the correct answer.
The graph of function fis shown.
Which statement correctly compares the two functions?
OA. They have the same end behavior as x approaches -
B. They have the same end behavior as x approaches -
OC. They have different end behavior as x approaches -
The point (2,5) is represented on the graph. Which point also belongs on this graph?
If the point (30, 75) satisfies the equation, then the point will lie on the line. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The point (2,5) is represented on the graph.
Then the equation of the line passing through (2, 5) and the origin will be given as
y - 0 = [(5 - 0) / (2 - 0)] (x - 0)
y = 5/2 x
2y = 5x
If the point (30, 75) satisfies the equation, then the point will lie on the line.
2 × 75 = 5 × 30
150 = 150
The graph is given below.
More about the linear system link is given below.
https://brainly.com/question/20379472
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Malachy rolls a fair dice 168 times.
How many times would Malachy expect to roll a number greater than 5?
Answer:
28 times
Step-by-step explanation:
On a fair die, the probability of rolling a 6, the only number greater than 5, is 1/6. So in 168 rolls of this die, Malachy can expect a 6 on 1/6 × 168, or 28 times.
the graph of y=sin x and y=cos x are identical except for a horizontal shift
What is the value of 0.8–0.6? Write your answer as a fraction in lowest terms
Given expression:
[tex]0.8 - 0.6[/tex]To simplify the expression as a fraction in simplest form, let us multiply both terms by 10. Then, both terms must also be divided by 10.
[tex]\implies \dfrac{[10(0.8) - 10(0.6)]}{10}[/tex]
[tex]\implies \dfrac{[8 - 6]}{10}[/tex]
[tex]\implies \dfrac{[2]}{10} = \dfrac{2}{10}[/tex]
When 2/10 is simplified in lowest terms, we get;
[tex]\implies \dfrac{2}{10} \implies \dfrac{1 \times 2}{5 \times 2} \implies \dfrac{1}{5}[/tex]
Therefore, 0.8 - 0.6 in fraction form is 1/5.
7. If y varies jointly with x and z, and y = 24
when x = 4 and z = 3, what is the value of y
when x = 12 and z = 4?
=
Answer:
Step-by-step explanation:
Using formula y=kxz
so,
24=k*4*3
k=2
so if we put x=12 and z=4,
y=2*12*4
y=48
What is the surface area of this right prism?
Enter your answer in the box.
cm²
NEED HELP ASAP!!! 20 POINTS!!!!
Answer:
Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by
surface area of prism = 2 * area of base + perimeter of base * H
So for the rectangular prism in your example..
surface area = 2LW + 2(L+W)H
= 2 * 7 * 4 + 2*(7+4)*5
= 56 + 2 * 11 * 5
= 56 +110
= 166 sq cm
Hope this helps
equation for parallel and perpendicular
Answer:
Parellel: y=-2x+17
Perpendicular: y=2x-3
Step-by-step explanation:
Hope this helps! ;-)
Why can’t you Factor x^2+9
Answer:
You can't answer this because there isn't a regular x value, there is only a x squared
Step-by-step explanation:
[tex]~~~~~~x^2 +9 = 0\\\\\implies x^2 = -9\\\\\implies x = \pm\sqrt{-9}\\\\\implies x=\pm 3i\\\\\text{Which is not real, so the given expression can't be factored for} ~x \in \mathbb{R}.[/tex]
PLS HELP!!!
The coast guard is out to sea and gets notification that two ships need help. One ship is directly west of the coast guard, and the other is directly south, as shown in the image below. The two ships are 6 miles from each other. Which ship is currently closer to the coast guard?
PLEASE INCLUDE EXPLANATION!!!! THANK YOU!!!
So
cos47=Base/Hypotenusecos47=y/6y=6cos47And
sin47=x/6x=6sin47sin47=0.73
cos47=0.68
So meanwhile sin is greater so 6sin is also greater
x is greatership 2 is closerAnswer:
Ship 2
Step-by-step explanation:
From inspection of the diagram, the problem has been modeled as a right triangle. Therefore, to find [tex]x[/tex] and [tex]y[/tex], use trigonometric ratios then compare to determine which distance is the smallest.
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)To find [tex]x[/tex] use the sine trig ratio:
[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]
[tex]\implies \sin(47^{\circ})=\dfrac{x}{6}[/tex]
[tex]\implies x=6 \sin(47^{\circ})[/tex]
[tex]\implies x=4.39 \: \sf miles \:(2\:dp)[/tex]
To find [tex]y[/tex] use the cosine trig ratio:
[tex]\implies \sf \cos(\theta)=\dfrac{A}{H}[/tex]
[tex]\implies \cos(47^{\circ})=\dfrac{y}{6}[/tex]
[tex]\implies y=6 \cos(47^{\circ})[/tex]
[tex]\implies y=4.09 \: \sf miles \: (2 \: dp)[/tex]
As 4.09 < 4.39, ship 2 is currently closer to the coast guard.
Vera needs repairs on her car. The mechanic’s estimate says that he will provide 7.3 hours of labor. His rate is $55 per hour. The total cost of the labor will be
Which expression is equivalent to the following complex fraction?
1 minus StartFraction 1 Over x EndFraction divided by 2
StartFraction x minus 1 Over 2 x EndFraction
Negative one-half
StartFraction 2 x minus 2 Over x EndFraction
StartFraction 2 x Over x minus 1 EndFraction
The complex fraction is
[tex]\\ \rm\Rrightarrow \dfrac{1-\dfrac{1}{x}}{2}[/tex]
On comparing
[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{x-1}{x}}{2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2(x-1)}{x}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2x-2}{x}[/tex]
Middle one
Answer:
It is A.) x-1 / 2x
Step-by-step explanation:
correct on edge
The two stadiums with the largest capacity is are Marshfield Stadium and Browden stadium. The capacity of Marshfield Stadium exceeds that of Bowden by 4,465 people. Combined, the two stadiums have a capacity of 210,355 people. Find the capacity of each stadium.
Step-by-step explanation:
x = capacity of Marshfield
y = capacity of Browden
x + y = 210,355
x = y + 4,465
so, using the second equation in the first
(y + 4,465) + y = 210,355
2y + 4,465 = 210,355
2y = 205,890
y = 102,945 (Browden)
x = y + 4,465 = 102,945 + 4,465 = 107,410 (Marshfield)
Isabel used integers to record her costs and earnings from face painting at a fair. she spent $25 on face-painting supplies. She earned $144 by painting faces.
How does Isabel record her costs and earnings?
Please help me ASAP
Answer:
-25 on painting supplies, +144 painting faces, +119 net gain
Step-by-step explanation:
spent = negative
earned = positive
net gain = earned - spent (sometimes it can be negative is you spend more than you make)
What is the domain in of the function shown in this graph
Answer:
Domain=[67,78]
Step-by-step explanation:
To find domain:
⇒ must define what is a domain
⇒ Domain is the set of input values or the values of the x-axis of
graph that is covered by the function
Based on the definition:
⇒ 67 ≤ x ≤ 78 is the domain of the function
Answer: 67 ≤ x ≤ 78 where x is a whole number
Hope that helps!
Which of the following statements is true?
A. The experimental probability of an outcome is always the same as the theoretical probability of the outcome
B. The experimental probability of an outcome is never the same as the theoretical probability of the outcome.
C. As the number of trials of a random process decreases, the experimental probability of an outcome approaches the theoretical probability of the outcome
D. As the number of trials of a random process increases, the experimental probability of an outcome approaches the theoretical probability of the outcome
Answer:
B
Step-by-step explanation:
first of all articles are perfect and there is . sign at the last of the sentence
the time taken, t, for a journey of fixed distance is inversely proportional to the average speed of travel, s. If the journey takes 2 hours 15 minutes travelling at an average speed of 50km/hour, how long will it take if the average speed is 27km/hour. Give your answer in hours and minutes
[tex]\huge{\color{red}{\fbox{\textsf{\textbf{Answer}}}}} [/tex]
4 hours 12 minutes
Step-by-step explanation:
We need to convert time in hours by diving 15 by 60
[tex] \sf 2 \frac{15}{60} \\ \\ \sf 2 \frac{1}{4} [/tex]
as it is mixed fraction we will convert into improper
[tex] \sf \frac{(2 \times 4) + 1}{4} \\ \\ \sf time = \frac{9}{4} hours[/tex]
Now we need to find distance
[tex] \sf \green {distance = speed \times time}[/tex]
Here speed is 50km/h
[tex] \sf \implies distance = 50 \times \frac{9}{4}km \\ \\ \sf \implies distance = \frac{25 \times 9}{2}km \\ \\ \sf \implies distance = \frac{225}{2} km \\ \\ \sf \implies \red {distance = 112.5km}[/tex]
Now we have to have time at new speed at 27km/h
and distance is same
[tex] \sf \pink{ time = \frac{distance}{speed} }[/tex]
Now substituting the value of speed and distance
[tex] \sf \implies time = \frac{112.5}{27} [/tex]
Now we will remove point(.) from the distance by multiplying 10 with 27
[tex] \sf \implies time = \frac{1125}{27 \times 10} \\ \\ \sf \implies time = \frac{41.6}{10} [/tex]
now we will convert it into mixed fraction
[tex] \sf \implies time = 4 \frac{1}{5} hours [/tex]
Now we will convert fraction hours into minutes by multiply with 60
[tex] \sf \implies time = 4 \: hours \: \frac{1}{5} \times 60 \: minutes \\ \\ \sf \implies \orange{ time = 4 \: hours \: 12 \: minutes}[/tex]
PLEASE HELP NEEDED ASAP
explain your answer clearly, questions and image below
1. What is the volume of the first cube?
2. What is the volume of the cube with sides of 24m?
3. What is the volume of the cube with sides of 7m?
4. What is the combined volume of these 2 cubes?
5. How much more gold do you get in the better option?
Answer:
1. Volume of the cube = width * length * height = 25 * 25 * 25 = 15,625 m³
2. Volume of the cube = width * length * height = 24 * 24 * 24 = 13,824 m³
3. Volume of the cube = width * length * height = 7 * 7 * 7 = 343 m³
4. Combined volume = volume cube 2 + volume cube 3 = 13,824 + 343 = 14,167 m³
5. 15, 625 - 14,167 = 1,458 more m³
—-
Have a nice day!!
Answer:
1. Volume of a cube = l³
therefore: Volume of first cube = 25³
= 15625
2. Same formula as number 1. = l³
= 24³
= 13824
3. 7³ = 343
4. Combined volume Multiplication = 15625 × 13824
or addition = 15625 + 13824
if according to question
5. Don't get paraphrase