Answer: 60 feet
Step-by-step explanation:
50+10=60
30 points!Describe the differences between the graphs of y = −3x^2 and y = 1/3x^2 .
Answer:
y = -3x²
Is a concave down with a maximum turning point at (0,0)
y = ⅓(x²)
Is a concave up with a minimum turning point at (0,0)
Answer:
Both are parabolas but one is concave up,while the other is concave down as you can see fro the graphs.They also both intersect at the origin
The equations X-2y = 1.3x-y=-1. X+ 2y =-1, and 3x+y= 1 are shown on the graph below. Which system of equations has a solution of approximately (0.6,-0.8)?
Answer:
x+2y=-1 3x+y=1
Step-by-step explanation:
look photo
Answer: x + 2y = -1 and 3x + y = 1
Step-by-step explanation:
what is -8x-8+3(x-2)=-3x+2
Answer:
x=-8
Step-by-step explanation:
-8x - 8 + 3(x-2) = -3x + 2 Multiply the parentheses by 3
-8x - 8 + 3x -6= -3x +2 Collect all like terms and Calculate
-5x - 14= -3x + 2 Move the terms
-5x + 3x = 2 + 14 Collect all the like terms and Calculate the sum
-2x = 16 Divide both of the sides by -2
x = -8
I hope this is what you were looking for and helps you out.
Answer:
[tex]x=-8[/tex]
Step-by-step explanation:
Given Equation:
[tex]-8x-8+3(x-2)=-3x+2[/tex]
Solving for 'x' by taking the terms of 'x' to one side and constants to the other side:
[tex]-8x-8+3(x)-3(2)=-3x+2\\[/tex]
[tex]-8x-8+3x-6=-3x+2[/tex]
Adding the like terms:
[tex]-5x-14=-3x+2[/tex]
Adding '[tex]3x[/tex]' both sides:
[tex]-5x+3x-14=-3x+3x+2[/tex]
[tex]-5x+3x-14=2\\\\-2x-14=2[/tex]
Adding '[tex]14[/tex]' both sides:
[tex]-2x-14+14=2+14\\\\-2x=16\\\\x=\frac{16}{-2}[/tex]
[tex]x=-8[/tex]
Since there are three attendees, evaluate the expression
12x + 5 for x = 3.
+ 5 =
120 +5=
The family spent
to attend the game.
Answer:
41
Step-by-step explanation:
If your equation is what it appears, we can put 3 where x is and do the arithmetic:
12·3 +5 = 36 +5 = 41
The family spent 41 to attend the game.
Camden‘s grandparents open a savings account for his on his fifth birthday. They deposited money sign five grand in account that had simple interest rate of 6%. Camden leaves his money in the count for 18 years. What formula would you use to solve this problem?
Step-by-step explanation:
The money deposited in the bank = 5000
Rate of interest = 6%
Number of years = 18
By simple interest Formula,
Interest = PNR / 100
Where P is the principal amount = 5000
N = no of years = 18
R =rate of interest = 6
Substituting the values in the equation, we get
Interest = (5000 * 18 * 6) / 100
Interest = 5400
total amount present = principal + interest
= 5000 + 5400 = 10400
Identify the center and intercepts of the conic section
Answer:
center: (0, 0)x-intercepts (-3, 0), (3, 0)y-intercepts (0, -5), (0, 5)domain -3 ≤ x ≤ 3range -5 ≤ y ≤ 5Step-by-step explanation:
Your answer is correct except for the intercepts.
The x-intercepts are where the graph crosses the x-axis. Those points are (-3, 0) and (3, 0). They can be identified in a list of points by the fact that the y-coordinate is zero (corresponding to the x-axis).
The y-intercepts are where the graph crosses the y-axis. Those points are (0, -5) and (0, 5). They can be identified in a list of points by the fact that the x-coordinate is zero (corresponding to the y-axis).
(x+4)(x+3)-x(x-2)=48
Step-by-step explanation:
trust me its b i got it right
what is seven over one minus one over eight
Answer:
7/1 - 1/8= 6[tex]\frac{7}{8}[/tex]
Step-by-step explanation:
Answer:
6.87500
Step-by-step explanation:
Carissa also has a sink shaped like a half-sphere. The sink has a volume of 660 pi inches cubed. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
(A) One cup has a diameter of 5 inches and a height of 8 inches. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
(B) One cup has a diameter of 10 inches and a height of 8 inches. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
Answer:
A) 40
B) 10
Step-by-step explanation:
A) ⅓×pi×2.5²×8 = 50/3 pi
660pi ÷ 50pi/3 = 39.6
So 40 scoops
B) ⅓×pi×5²×8 = 200pi/3
660pi ÷ 200pi/3 = 9.9
So 10 scoops
Christopher deposited $1 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much interest will he earn in 3 years?
Answer:
To the nearest cent, Christopher will earn $ 0.13 in 3 years
Step-by-step explanation:
Let's recall that the formula of the compounded interest is:
A = P * (1 + r/n)^nt, where
A = Future value
P = Initial deposit
r = Interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Replacing with the values we know:
A = P * (1 + r/n)^n
A = 1 * (1 + 0.1/1) ³°¹
A = 1 * 1.1³
A = 1 * 1.1331
A = 1.13
Interest = Future value - Initial deposit
Interest = 1.13 - 1
Interest = 0.13
need help with how to do this 3x2+12x+6=0
Answer:
-2 + sqrt(2)
-2 - sqrt(2)
Step-by-step explanation:
3x² + 12x + 6 = 0
x² + 4x + 2 = 0
Use the quadratic formula:
[-4 + sqrt(4² - 4(1)(2))]/2
-2 + sqrt(2)
[-4 + sqrt(4² - 4(1)(2))]/2
-2 - sqrt(2)
sqrt: square root
The elevation we call sea level is actually the average level of the sea. This means that at average sea level, the elevation is zero. In reality, the level of the sea rises and falls in what are called tides. Low tide is the point of lowest sea level in a tidal period. High tide is the point of highest sea level in a tidal period. The height above or below average sea level is called elevation. An elevation below sea level is considered a negative value, while an elevation above sea level is positive.
Winston lives near the ocean. He regularly brings an altimeter to the beach to measure the elevation of the ocean’s surface. You will use the data Winston gathered to complete tasks about the rising and falling of the ocean’s surface. When necessary, sketch a diagram of the situation on a separate sheet of paper to assist you.
On Monday at 1 p.m., when the ocean’s surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean’s surface. At 7 p.m. when the ocean’s surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean’s surface.
Part A
What was the net change in the elevation of the ocean’s surface from 1 p.m. to 7 p.m.?
At 1 pm the ocean was at a hight tide but at 7pm it was at a low tide this means the tide has been decreasex by 2.6 feet
Step-by-step explanation:
3 fewer than a number p
Answer:
p-3
Step-by-step explanation:
3 fewer would be -3
So it would be p-3
Answer: 3<p
Step-by-step explanation:
3 is fewer than (<) p
hope it helps please give brainliest!
PLEASE HELP, WILL MARK BRAINLIEST!! The diagram shows the dimensions of a deck. A student finds the area by adding 16 ft^2 + 48 ft^2. Is the student correct? Explain your reasoning.
Answer:
The student is wrong, the total area = 16 ft² + 20 ft²
Step-by-step explanation:
See the attached figure.
The shown figure is a composite area of:
1) A rectangle with length of 8 ft and width of 4 ft
2) A triangle of base (8 - 4 = 4ft) and height of ( 6 - 4 = 2 ft)
The area of the rectangle = length x width = 8 * 4 = 32 ft²
The area of the triangle = 0.5 base x height = 0.5 * 4 * 2 = 4 ft²
So, the total area = 32 + 4 = 36 ft²
OR
The figure can be consists of :
1) A square of side length of 4 ft
2) A trapezoid of height (8-4 = 4 ft) and the bases length is (6 and 4 ft)
So,
The area of the square = 4 * 4 = 16 ft²
The area of the trapezoid = 0.5 (6+4) * 4 = 5 * 4 = 20 ft²
So ,the total area = 16 + 20 = 36 ft²
So,
The student is distracted, he finds the area of total rectangle of sides 8 and 6 ft, he should subtract from it the area of the trapezoid of height 2 ft and bases of 4 and 8 ft
So, the student is wrong
Imani bought books for college and paid 35% of the total cost. Her parents paid the remaining balance of $438.75. The total cost for Imani’s books was $
Answer:
[tex]\$675[/tex]
Step-by-step explanation:
Remember that
[tex]100\%-35\%=65\%=65/100=0.65[/tex]
Let
x ----> the total cost of the books
we know that
The total cost of the book multiplied by 0.65 must be equal to $438.75
so
The linear equation that represent this situation is
[tex]0.65x=438.75[/tex]
solve for x
[tex]x=438.75/0.65\\x=\$675[/tex]
Maria find a local gym that advertises 86 training sessions for $2015 find the cost of 167 training sessions
Answer:$3912.81
Step-by-step explanation:
You can calculate this by finding the cost ofn1 training session and then multiplying by the 167 training sessions
If 86 training sessions =$2015
Then 1training session=2015/86 =$23.43
167 training sessions =$23.43×167= $3912.81
z varies directly with x and inversely with y2.
When x = 2 and y = 5, z = 8.
What is the value of z when x = 4 and y = 9?
Solution:
Given that,
z varies directly with x and inversely with [tex]y^2[/tex]
Which means,
[tex]z \propto \frac{x}{y^2}\\\\z = k \times \frac{x}{y^2}[/tex]
Where, "k" is constant of proportionality
Substitute x = 2 and y = 5, z = 8 in above
[tex]8 = k \times \frac{2}{5^2}\\\\8 = \frac{2k}{25}\\\\k = 25 \times 4\\\\k = 100[/tex]
What is the value of z when x = 4 and y = 9?
Substitute k = 100 , x = 4 and y = 9 in above
[tex]z = 100 \times \frac{4}{9^2}\\\\z = 100 \times \frac{4}{81}\\\\z = 4.938[/tex]
Thus value of z is 4.938
A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet.
If the park is shown as a square on the map, each side of which is 12 inches long, how long is each side of the square park?
The length of each side is 50 inch/ 600 ft
Step-by-step explanation:
Given,
The perimeter of the square park = 12 inches
1 inch = 200 ft
12 inches = 12×200 ft = 2400 ft
To find each side of the park.
Let, each side be 'a' inches
Formula
The perimeter of a square = 4a
According to the problem,
4a = 2400
or, a = 600 ft
= 50 inch
Answer:
2400 feet
Step-by-step explanation:
1 : 200
12 : X
X = 12 × 200 = 2400 feet
Evaluate -4a+8z if a=8 and z=3
Answer:
- 8
Step-by-step explanation:
Given
= 4a + 8z ← substitute a = 8 and z = 3 into the expression
= - 4(8) + 8(3)
= - 32 + 24
= - 8
Answer:
-8
Step-by-step explanation:
a = 8
z = 3
-4(8) + 8(3) = -32 + 24 = -8
Derek sees that a 24 foot flagpole casts a 10 foot shadow. At the same time of day, if a nearby tree casts
25 foot shadow, about how tall is the tree?
Answer:
60 ft.
Step-by-step explanation:
We can solve this problem with a simple proportion:
24 / 10 = h / 25
10h = 24 * 25
600 = 10h
60 ft. = h
The height of the tree would be 60 feet when its shadow 25-foot.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.
We have been given that Derek sees that a 24-foot flag pole casts a 10-foot shadow.
Let the height of the tree would be h when its shadow 25-foot.
According to the given question, we can write the proportion as:
24 : 10 = h : 25
⇒ 24 / 10 = h / 25
⇒ 10h = 24 × 25
⇒ 600 = 10h
⇒ 60 = h
⇒ h = 60
Therefore, the height of the tree would be 60 feet when its shadow 25-foot.
Learn more about the proportion here:
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The exterior angles of a quadrilateral have measures of 90°, 38°, 3x°, and x°. Find the value of x.
x=?
Answer:
58
Step-by-step explanation:
The sum of the exterior angles ALWAYS measures 360 degrees, meaning that 90+38+3x+x = 360
This means that 128 + 4x =360, meaning that 4x = 232.
That makes x = 58
To find the value of x, we can use the fact that the sum of the exterior angles of any polygon is always 360 degrees. So, solving the equation 90 + 38 + 3x + x = 360 will give us the value of x, which is 58.
Explanation:To find the value of x, we can use the fact that the sum of the exterior angles of any polygon is always 360 degrees.
So, we have the equation:
90 + 38 + 3x + x = 360
Combine like terms:
4x + 128 = 360
Subtract 128 from both sides:
4x = 232
Divide by 4:
x = 58
Therefore, the value of x is 58.
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whats the simplest form for 56:32
Answer: 7:4
Step-by-step explanation:
To take this ratio to its simplest form, we have to divide by a value divisible by both sides of the ratio.
8 is a divisible value, therefore,
56/8 = 56 ÷ 8 = 7
32 ÷ 8 = 4
Thus, 56:32 in its simplest form= 7:4
I hope this helps.
worksheet 5.9 scale drawings and scale models
Answers:
1. 1/12
2. 1/15
3. 16 feet
4. 222 inches
5. 27 feet
hope it helps :0
Which expression represents the phrase?
"6 less than the sum of 5 and x."
Answer:
6< 5+x
Step-by-step explanation:
sum = addition
sum of 5 and x= add 5 and x
5+x
less than: "<" and it means that the number on the left is less than the number on the right
6 less than= 6 < 5x
The phrase "6 less than the sum of 5 and x" can be represented by the expression:
(5 + x) - 6
Let's break it down to understand how this expression represents the given phrase:
First, we have the sum of 5 and x, which is represented by (5 + x). This part of the expression calculates the sum of 5 and the variable x.
Then, we have "6 less than" which implies subtracting 6 from the sum. This is represented by - 6.
Finally, we combine these two components: (5 + x) - 6.
In this expression, the sum of 5 and x is calculated first, and then 6 is subtracted from that sum, representing the idea of "6 less than the sum of 5 and x."
To simplify further, we can combine the terms:
(5 + x) - 6 = 5 + x - 6 = x - 1
Therefore, the expression "6 less than the sum of 5 and x" can be represented as x - 1.
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Find the value of x to the nearest tenth.
For this case we have that, by definition of trigonometric relationships of rectangular triangles, the cosine of an angle is given by the division of the leg adjacent to the angle on the hypotenuse of the triangle. According to the figure we have:
[tex]Cosine (50) = \frac {6} {x}\\x = \frac {6} {cosine (50)}\\x = 9.3343[/tex]
Thus, the value of x is 9.3
Answer:
[tex]x = 9.3[/tex]
1. In the figure below, AX'Y'Z' is a dilation of AXYZ. Find
the scale factor of the dilation, and classify it as an
enlargement or a reduction. (1 pt for scale factor, 1 pt for
work shown, lpt for classification.)
Answer:
Enlargement
Factor 2
Step-by-step explanation:
X'Y'/XY = 10/5 = 2
18. Why might funds from a deposited check not be available on the day of deposit? (2 points)
It was made to a bank teller.
It was made into an old account.
It was larger than usual deposits.
It was an account transfer from the same bank.
Answer: Account might need to be reactivated since it is an old account and the sum on the cheque is larger than usual deposit
2) since it is a cheque deposit and the amount is larger than usual deposit, the bank teller will need to make neccessary confirmation from the cheque owner.
Step-by-step explanation:
Funds from a deposited check may not be available on the day of deposit due to processing times for verifying funds, anti-fraud measures for large or irregular deposits, and the clearing process required for checks drawn on different banks.
Funds from a deposited check may not be available on the day of deposit for a number of reasons. One common reason is due to the processing time that is required for the bank to verify the funds from the issuing account. When an individual makes a deposit, the bank needs to ensure that the payer's account has sufficient funds to cover the check. This process can take several business days, especially if the check is drawn on a different bank or financial institution.
Another reason why funds might not be immediately available is due to anti-fraud measures. Banks often hold larger than usual deposits or checks from new accounts for additional scrutiny to prevent fraud. This hold allows the bank to time to confirm the legitimacy of the check before making the funds available to the depositor.
Finally, if both the issuing and receiving account are at the same bank, a simple internal account transfer can occur with no need for an actual movement of physical funds. However, if the banks are different, checks typically go through a clearing process, which might involve an intermediary such as a Clearing House, where the checks are offset against each other and only the net balances are settled. This systematic arrangement usually results in a delay before the deposited funds are available to the account holder.
Dan had 249 dollars to spend on 7 books. After buying them he had 18 dollars. How much did each book cost?
First, lets subtract the amount he has after the transaction and the amount he had before the transaction.
249 - 18 = 231
Second, divide by the amount of books Dan bought.
231 / 7 = $33 per book.
Best of Luck!
Find the volume 4 2\5 in 3in 16 3\4in
The figure below shows concentric circles, both centered at 0.0
• Chord XY is tangent to the smaller circle
• The radius of the larger circle is 15cm
• The radius of the smaller circle is 12cm.
What is the length of chord XY?
A. 27 cm
B. 24cm
C. 18cm
D. 10cm
Answer:
C. 18 cm
Step-by-step explanation:
The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio
3 : 4 : 5 = 9 : 12 : 15
Half of XY is 9 cm, so the length of the entire chord is 18 cm.
_____
The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).
The unknown side (a) can be found from ...
15² = 12² +a²
225 -144 = a² . . . . . . subtract 12²
81 = a² . . . . . . . . . . . simplify
9 = a . . . . . . . . . . . . . take the square root
The chord length is 2a, so is ...
2(9 cm) = 18 cm . . . . length of chord XY