Answer:
A
Step-by-step explanation:
Easy method for this question is to plug the point (-1,7)
Plug -1 as x and hope we can get 7
\(y =-2(-1+1)^{2}+7\\y=7\\\)
The perimeter of an equilateral triangle is 3 (+ 5). The perimeter of a rectangle is 2 (2x - 3) + 2(2). If the perimeters of the two figures are equal, then what is the value of r?
Answer:
3.25
Step-by-step explanation:
Perimeter of triangle = 3(5) = 15 cm
Perimeter of rectangle = 2(2x - 3 + 4)
Perimeter = 2(2x + 1)
Perimeter = 4x + 2
4x + 2 = 15
4x = 15 - 2
4x = 13
x = 13/4
x = 3.25
Find the perimeter of rectangle shown
Solve (X+8)=9 absolute value equation PLEASE HELP
Answer:
x = | 1 |
Step-by-step explanation:
how are u in college doing this???
Answer:
1
Step-by-step explanation:
(x+8)=9
x+8=9
x=9-8
x=1
your $440 gets 5.8% interest compounded annually for for 8 years what will your $440 be worth in 8 years l?
Answer:
The answer is $690.78
Step-by-step explanation:
What is the slope of the following linear function?
Answer:
slope = - 1
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = A (0, 2 ) and (x₂, y₂ ) = B (2, 0 )
m = \(\frac{0-2}{2-0}\) = \(\frac{-2}{2}\) = - 1
A rectangle that measures 12 inches × 18 inches is cut into six identical squares by making three cuts. How many inches is the perimeter of one of those six squares?
The perimeter of one of those six squares formed is 24 inches.
The rectangle measures 12 inches by 18 inches.
The rectangle is cut into six identical square by making three cut.
Therefore, let's find the area of the rectangle:
Area of a rectangle:a = lwa = 12 × 18 = 216 inches²Area of a square:a = l²The square formed are 6 in numbers. Therefore,
6l² = 216
l² = 216 / 6
l = √36
l = 6 inches
The length of each square formed is 6 inches.
Therefore, the perimeter of each square formed is as follows;
4l = 4(6) = 24 incheslearn more on rectangle here: https://brainly.com/question/1392694?referrer=searchResults
Find the volume of the pyramid above
Find the surface are of the pyramid above pls help
The volume of the pyramid is 18069333.33 units³ and the surface area is 391600 units ²
What is a pyramid?A pyramid is a three-dimensional figure. It has a flat polygon base. All the other faces are triangles and are called lateral faces.
Surface area of a pyramid is expressed as;
area of 4 lateral face + area of base
area of base = 440²
= 193600 units²
area of a lateral = 1/2 bh
= 1/2 × 440 × 356
= 78320
For four surfaces = 4 × 78320 = 313280
Total surface area = 313280+78320
= 391600 units ²
Volume of a pyramid is expressed as;
V = 1/3base area × height
V = 1/3 × 440² × 280
V = 18069333.33 units³
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I need help with this problem
Answer:
\(3.\ \dfrac{3x}{11x}, \dfrac{6}{22}, \dfrac{9}{33},\dfrac{12}{44}\)
\(4. -18\\5.\ 400\)
Step-by-step explanation:
Solution 3:
Equivalent fractions to are to \(\frac{3}{11}\) be found out.
Method: By Multiplying both the denominator and numerator with the same number, we can easily find equivalent fractions.
1. Multiply with 2:
\(\dfrac{3 \times 2}{11 \times 2}\\\Rightarrow \dfrac{6}{22}\)
2. Multiply with 3:
\(\dfrac{3 \times 3}{11 \times 3}\\\Rightarrow \dfrac{9}{33}\)
3. Multiply with 4:
\(\dfrac{3 \times 4}{11 \times 4}\\\Rightarrow \dfrac{12}{44}\)
If we try to write in variable form, it can be written as:
\(\dfrac{3x}{11x}\)
where x is any number.
---------------
Solution 4:
\((2x-10)\) when \(x=-4\)
\(2 \times (-4) -10\\\Rightarrow -8 -10\\\Rightarrow -18\)
------------
Solution 5:
\((10a)^2, a=-2\\\Rightarrow \{10 \times (-2)\}^2\\\Rightarrow (-20)^2\\\Rightarrow 400\)
What does the y-intercept of the line tell you about the situation?
Please answer this quickly it’s due in 10min
The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:
b = 10.
The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.
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15 A 45om long field is drawn a scale Icm to 9om Find the length of the dam drawing.
Answer:
The scale of the drawing is 1 cm to 90 m. This means that every 1 cm on the drawing represents 90 m in real life. The length of the field is 450 m, so the length of the drawing will be 450 m / 90 m = 5 cm.
Therefore, the length of the dam drawing is 5 cm.
Step-by-step explanation:
please help and if you know how to give brainliest let me know i will give it to the person who answers
Answer:
$945 is the correct answer. Hope this helps<3
Step-by-step explanation:
Answer: 795
Step-by-step explanation:
75 + (210 x 3) + (30 x 3) = 795
can someone pls help me? i have no idea what to do. pls show the work steps for the questions. i will mark u as
Ok, so the question is based on geometric progression. Remember, the formula for calculating the nth-term of a geometric progression is: \(a*r^{n-1}\). The a in the expression stands for the 1st term of the sequence, and r is the common ratio of the elements of the sequence. Now let's take a look at the problem.
"A ping pong ball has a 75% rebound ration". We can infer that our common ratio, r, is 75% which is 0.75.
"When you drop it from a height of k feet...", this means the first height you drop it from, a.k.a, the first term.
Now going back to the expression, the nth-term = \(a*r^{n-1}\), we can substitute our common ration, 0.75 with r, and our 1st term, k, with a. This becomes: \(k * 0.75^{n-1}\). This becomes our expression.
a. The highest height achieved by the ball after six bounces. Our nth-term here is 6, so let's use our expression to find the 6th term. \(n_{6} = 235 * 0.75^{6-1} = 235*0.75^{5} = 235*0.2373 = 55.7655ft\)
b. The total distance travelled by the ball when it strikes the ground for the 12th time. This involves the use of the sum of elements in the geometric progression. The formula for that is \(\frac{a(1 - r^{n})}{1-r}\), provided that r is less than 1, which it is in this case, since 0.75 is less than one. Our nth-term here is 12, so we substitute.
\(\frac{235(1-0.75^{12})}{(1-0.75)} = 910.2242ft\)
are Proportional and non-proportional equations are all linear.
Proportional and linear functions are very similar. The only difference is the addition of the “b” constant to the linear function. A proportional relationship is just a linear relationship where B = 0, or where the line passes through the origin (0, 0).
In the number 725.78, how does the value of the 7 in the tenths place compare to the value of the 7 in the hundreds place?
Answer:
C. 1/1,000
Step-by-step explanation:
yes or no ?
(Look at picture) ty btw :)!!!!! <3
By simplifying 8 to 23 to make both powers base two and subtracting the exponents.
Explain how the Quotient of Powers property was used to simplify this expression?The Quotient of Powers property is used to simplify an expression with two powers, or exponents, that have the same base. To simplify this expression, first find the quotient of the bases.In this case, the bases of both powers are 8, so the quotient is 8/8 or 1. Then cancel out any common factors. 8/8 cancels out to 1, leaving the expression as 2^3/2^5.Next, simplify the expression further by making both powers have the same base. Since the base of the first power is two, we can simplify 8 to 23 to make the base of the second power two. This leaves us with 2^3/2^8.Finally, use the Quotient of Powers property to simplify the expression by subtracting the exponents. The subtraction results in 2^3-2^5, which simplifies to 2^-2. This is the simplified version of the expression.To learn more about the Quotient of Powers Property refer to:
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What is the unit cost per bottle if a pack of 6 bottles of juice sells for $4.80?
$0.28 per bottle
$28.80 per bottle
$0.80 per bottle
$8.00 per bottle
Answer:
$0.80 per bottle
Step-by-step explanation:
\(\frac{4.80}{6}\) = total cost / units
= 0.80
Answer:
$o.80
Step-by-step explanation:
4.80 divided by 6 equals 0.8
0.8 can also be 0.80
Growing linearly, the balance owed on your credit card doubles from $600 to $1200 in 6 months. If the balance were growing according to the exponential function f(x)=600(1+0.1220)^x where x represents the number of months, what would the balance be after 6 months? Round your answer to the nearest cent.
Evaluate the given expression at x=6. This is, replace every x in the equation for 6 and solve:
\(\begin{gathered} f(6)=600(1+0.1220)^6 \\ f(6)=600(1.1220)^6 \\ f(6)=600\cdot(1.99506) \\ f(6)=1197.04 \end{gathered}\)The balance after 6 months is 1197.04.
Evaluate y/4-2y-3
when y = -4
Answer:
4
Step-by-step explanation:
Hope that helps!
9514 1404 393
Answer:
4
Step-by-step explanation:
Substitute the given value for y, then do the arithmetic.
\(\dfrac{y}{4}-2y-3\\\\=\dfrac{-4}{4}-2(-4) -3 \qquad\text{use $y=-4$}\\\\=-1+8-3=7-3=\boxed{4}\)
Plsssss first person to do all of them gets 40 points if you don’t do all of them i will report also if you put random stuff i will report if you do it all correct i will put brainlyist and put 5 stars and a heart
Answer:
Trapezoid: \(31.59cm^{2}\)
Square: \(96.04 miles^2\)
Circle: \(314.15926535898 miles^2\)
Rectangle: \(44.7miles^2\)
Step-by-step explanation:
I labeled one of the pictures wrong, but if you look at the numbers, you should be able to tell them apart ;)
I hope I helped, and I always appreciate brainliest!!! :)
Provide an expansion of π to 5 decimal places. Confirm your understanding that π can be computed to an indefinite precision and that an expansion to 5 decimal places is only an approximation for the real value of π.
Answer:
π = 3.14286 to 5dpStep-by-step explanation:
π as a value is \(\frac{22}{7}\). Expresssing \(\frac{22}{7}\) as decimal will give;
π = \(\frac{22}{7}\) = 3.142857 142857 142857 1...
It can be seen that the values after the decimal point goes indefinitely by continually imputing the value 142857 based on the segregation. Therefore an expansion to 5dp is the only approximate value for π since the remaining values are mere repetition.
Converting to 5 decimal places means having just 5 values after the decimal point as shown;
\(\pi = \frac{22}{7} = 3.14286\)
The last value is rounded up to 6 because the succeeding value is 7(which is more than 5). In this case 1 will be added to the fifth place value in the figure rounding it up to 6.
8y-2x=-72 in slope form
Answer:
y=1/4x-9
Step-by-step explanation:
Slope-intercept form is y=mx+b.
8y-2x=-72
Add 2x to both sides
8y=2x-72
Divide both sides by 8.
y=1/4x-9
HTH :)
Check all the statements) that are true about the polynomial function graphed
Its leading coefficient is positive. its leading coefficient is negative.
It has an odd degree
It has an even degree
It has exactlv two real zeroes
It has exactly three real zeroes.
None of the zeroes have even multiplicity
None of the zeroes have odd multiplicity.
The true statements about the polynomial function graphed are:
Its leading coefficient is positive.
It has an odd degree.
None of the zeroes have even multiplicity.
From the given options, the true statements about the polynomial function graphed are:
Its leading coefficient is positive.
It has an odd degree.
None of the zeroes have even multiplicity.
Let's analyze each statement:
Its leading coefficient is positive:
The leading coefficient of a polynomial is the coefficient of the term with the highest degree.
From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.
It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.
If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.
None of the zeroes have even multiplicity:
The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.
In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.
The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.
Therefore, the true statements about the polynomial function graphed are:
Its leading coefficient is positive.
It has an odd degree.
None of the zeroes have even multiplicity.
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Find the sales tax. Then find the total cost of the item. Sales Tax Selling Price Rate of Sales Tax Sales Tax $60.00 3% ?
Answer:
$61.80
Step-by-step explanation:
60 increase 3% =
60 × (1 + 3%) = 60 × (1 + 0.03) = 61.8
Answer:
Sales tax:1.80 total cost:61.80
Step-by-step explanation:
Price x sales tax rate = sales tax
60 x .03=1.80
price + sales tax = total cost
60 + 1.80=61.80
Use PMT=
nearest dollar.
-nt
to determine the regular payment amount, rounded to the
The price of a home is $210,000. The bank requires a 15% down payment and one
point at the time of closing. The cost of the home is financed with a 30-year fixed-
rate mortgage at 6.5%.
a. Find the required down payment.
b. Find the amount of the mortgage.
c. How much must be paid for the one point at closing?
d. Find the total cost of interest over 30 years, to the nearest dollar.
B)
OA) a. down payment: $31,500
b. amount of mortgage: $178,500
c. points paid at closing: $2100
d. total cost of interest over 30 years: $196,167
a. down payment: $31,500
b. amount of mortgage: $178,500
c. points paid at closing: $1785
d. total cost of interest ver 30 years: $227,667
Oc) a. down payment: $31,500
b. amount of mortgage: $178,500
c. points paid at closing: $2100
d. total cost of interest over 30 years: $227,667
OD) a. down payment: $31,500
b. amount of mortgage: $178,500
c. points paid at closing: $1785
d. total cost of interest over 30 years: $406,167
Answer:
B
a. down payment: $31,500b. amount of mortgage: $178,500c. points paid at closing: $1785d. total cost of interest over 30 years: $227,667Step-by-step explanation:
You want to know the 15% down payment, the mortgage amount, the value of 1 point, and the total interest cost for a 6.5% 30 year loan on a $210,000 home.
Look at the Answer ChoicesThe answer choices all have the down payment as $31,500 and the loan value as $178,500. A "point" is one percent of the loan value (not the home value), so ...
1 point = 0.01 × $178,500 = $1785 . . . . . . eliminates choices A and C
The difference between choices B and D is in the value of the interest paid. Your experience with 30-year loans in this interest rate range tells you that the interest paid is between 1 and 2 times the loan value. That is, the chice $227,667 is more likely correct than the choice $406,167.
Comparing these two numbers, we see they differ by 178,500, which is the value of the loan. That is, we can guess that 406,167 is the total amount repaid, not just the interest.
Answer choice B is the only one that makes sense.
Work the problemIf you like, you can work the problem.
down payment = 15% × $210,000 = $31,500
loan amount = $210,000 -31,500 = $178,500
one point = 0.01 × $178,500 = $1785
The monthly payment is found using the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
A = 178500(0.065/12)/(1 -(1 +0.065/12)^(-12·30)) ≈ 1128.24
The monthly payment amount is about $1128.
So, the total repaid is 360 payments of $1128.24, or $406,167.
The interest paid is this amount less the principal:
interest paid = $406,167 -178,500 = $227,667
Arrange the tiles on both boards to find the value of x.
Solve the equation 5x + (-2) = 6x + 4 using the algebra
tiles
What tiles need to be added to both sides to remove
the smaller x-coefficient?
5 negative x-tiles
+
+
What tiles need to be added to both sides to remove
the constant from the right side of the equation?
2 positive unit tiles
Board sum: 5x + (-2) = 6x + 4
What is the solution?
The tiles are ready for moving.
Reset
x = -6
x = -2
X = 1
X = 2
1) Intro
Done
Answer:
-1
Step-by-step explanation:
Which statement is true about comparing 5.37 and 5.4?
5.4 is greater because 43
5.37 is greater because 7>4.
5.4 is greater because it has fewer digits.
5.37 is greater because it has more digits.
If a line has a slope of 3 and contains the point (-1, 4), what is its equation in point-slope form?
A. y+1=3(x-4)
B. y-1=3(x-4)
C. y-4=3(x-1)
D. y-4=3(x+1)
If a line has a slope of 3 and contains the point (-1, 4), its equation in point-slope form include the following: C. y - 4 = 3(x - 1).
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.At data point (1, 4) and a slope of 3, a linear equation for this line can be calculated or determined by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 4 = 3(x - 1)
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Find the equation of the horizontal line that contains the point (8,4). Express the equation using either the general form or the slope-intercept form of the equation of a line.
The equation of line containing vertices (8,4) is y = 4.
How do you express a line's equation in slope-intercept form?Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). Using y=mx+b to graph a line is typically simple. The standard form and the point-slope form are other formats for linear equations.
Equation of line in slope - intercept form is
y = mx + c
where m= slope
c = y - intercept
As it is given that equation of line is horizontal,
this implies
x = 0
y = m (0) + c
y = c
Now, the given coordinates are (8,4)
Slope of the equation equals 0 As the line is horizontal.
⇒ y = 0 (8) + 4
⇒ y = 4
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A calendar watch loses one second per day. At this rate, the approximate length of time, in years, for the watch to lose exactly 24 hours is (a) 1/360 (b) 1/240 (c) 4 (d) 240 (e) 2400
Using proportions, the approximate length of time, in years, for the watch to lose exactly 24 hours is:
(d) 240.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
24 hours have 24 x 3600 = 86400 seconds, hence the rule of three is given by:
One second - 1/365 year
86400 seconds - x years
Applying cross multiplication:
x = 86400/365
x = 240.
Hence option D is correct.
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Find the missing side
By using trigonometry, the missing sides are
Example 1: x = 16.7
Example 2: x = 3.2
Example 3: x = 23.5
Example 4: x = 9.3
Trigonometry: Determining the values of the missing sidesFrom the question we are to determine the value of the missing sides in the given triangles
We can determine the value of the missing sides by using SOH CAH TOA
Example 1
Angle = 42°
Opposite side = x
Hypotenuse = 25
Thus,
sin (42°) = x / 25
x = 25 × sin (42°)
x = 16.7
Example 2
Angle = 75°
Opposite side = 12
Adjacent side = x
Thus,
tan (75°) = 12 / x
x = 12 / tan (75°)
x = 3.2
Example 3
Angle = 36°
Hypotenuse side = x
Adjacent side = 19
Thus,
cos (36°) = 19 / x
x = 19 / cos (36°)
x = 23.5
Example 4
Angle = 53°
Opposite side = x
Adjacent side = 7
Thus,
tan (53°) = x / 7
x = 7 × tan (53°)
x = 9.3
Hence,
The missing sides are 16.7, 3.2, 23.5 and 9.3
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