Answer:
Rose bought 14 packages of granola bars.
Step-by-step explanation:
Total bill = 1 bag of potatoes + x amount of packages of granola bars
Total bill = $74.25
1 bag of potatoes = $6.00
1 package of granola bar = 5.25
We set the equation to:
74.25 = 6.00 + 5.25x
Subtract 6.00 from both sides:
68.25 = 5.25x
Divide both sides by 5.25 to leave x by itself
68.25/5.25 = 5.25x/5.25
13 = x
This means Rose bought 13 packages of granola bars.
Let's recheck our work by inputting x = 13 into the equation:
74.25 = 6.00 + 5.25(13)
74.25 = 6.00 + 68.25
74.25 = 74.25
Use the points (0, 4) and (-2, 3) to find the slope of the line and give the equation of this line.
Answer:
Choice C: [tex]m=\frac{1}{2}; y=\frac{1}{2} x+4[/tex]
Step-by-step explanation:
To find your slope do:
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
[tex]\frac{3-4}{-2-0}=\frac{-1}{-2} =\frac{1}{2}[/tex]
that's how you get 1/2
4 is just the y-int.
The required equation of line passes through (0, 4) and (-2, 3), has slope of m = 1/2 , is y = 1/2x + 4. Option C is correct.
What is the equation?The equation is the values of two expressions that are equal.
What is the slope of the line?The slope of the line is the tangent angle made by the line with horizontal. i.e. m =tanx where x in degrees.
The slope of the equation line passing through (0, 4) and (-2, 3)
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m = (3 - 4) / (-2-0)\\m = -1/-2\\m = 1/2[/tex]
Strand form of the equation of the line,
[tex]y-y_1 = m(x-x_1)[/tex]
Putting values in the standard form of the equation of the line.
y - 4 = 1/2 * (x - 0)
y = 1/2 * x + 4
[tex]y = \frac{1}{2} x + 4[/tex]
Thus, the required equation of line passes through (0, 4) and (-2, 3), has slope of m = 1/2 , is y = 1/2x + 4. Option C is correct.
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tess saids this shape is a rhombus. Jack says the shape is a square. Who is correct?
Tess and Jack are both correct with their claims
How to determine who is correct?The attached image completes the question
From the complete question, we have the following highlights
The shape has equal side lengthsThe angles at the vertices of the shape are right anglesThe above properties represent a square
A rhombus can also have the above properties when the vertices are at 90 degrees
Hence, Tess and Jack are both correct with their claims
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If a sample proportion is 0.65, which range of possible values best describes
an estimate for the population parameter?
O A. (0.5, 0.89)
• B. (0.5, 0.8)
• C. (0.65, 0.7)
• D. (0.6, 0.69)
The range of possible values that best describes an estimate for the population parameter is; (0.5, 0.8)
How to estimate proportion?The range of possible values that best describes an estimate for the population parameter is; (0.5, 0.8).
When we are talking about population parameters, we also have to look at the way of estimating the population, we have to add two extremes and divide by 2.
Thus, the correct one is;
(0.5 + 0.8)/2 = 0.65
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Which statement best compares savings accounts and money market accounts?
OA. A regular savings account has fewer restrictions on withdrawals than a money market account
but at a lower interest rate.
OB. A regular savings account has fewer restrictions on withdrawals than a money market account
but at a higher interest rate.
C. A money market account has fewer restrictions on withdrawals than a regular savings account
but at a lower interest rate.
OD. A money market account allows for more withdrawals than a regular savings account but at a
higher interest rate.
Answer:
Its Option C.
Step-by-step explanation:
I took this quiz and got this correct, atleast I think...??
Which of the following polynomial functions is graphed below?
-70
60
50
20
-10
O A. f(x) = (x + 5)(x − 1)2(x+1)
B. f(x) = (x - 5)(x-1)²(x - 1)
OC. f(x) = (x+2)(x-3)²(x+4)
D. f(x)=(x-2)²(x-3)(x-4)
-10-
-20
-30-
-40
10
The option (C) f(x) = (x+2)(x-3)²(x+4) is correct because in the graph the minimum value of function is less than 40.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a graph of a polynomial.
From the graph we can clearly see there is three x-intercept where the value of a polynomial function becomes zero.
The minimum value of function is less than 40
At x = 3, f(3) = 0
At x = -2, f(-2) = 0
At x = -4, f(-4) = 0
Thu graph of a function will be:
[tex]\rm y\ =\ \left(x+2\right)\left(x-3\right)^{2}\left(x+4\right)[/tex]
Thus, the option (C) f(x) = (x+2)(x-3)²(x+4) is correct because in the graph the minimum value of function is less than 40.
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a flower garden is in the shape of a circle. The circumfrence of the garden is 20 meters. What is the area of the garden? use 3.14 for pie and round your answer to the nearest whole number
Answer:
32m²
Step-by-step explanation:
r=
[tex] \frac{c}{2\pi } [/tex]
r=20/(2×3.14)= 3.18m
A=pi r² = 3.14x3. 18² = 32m²
What is true about AngleQRT? Select two options.
Measure of angleQRT = 90°
Measure of angleQRT = Measure of angleSRT
AngleQRT Is-congruent-to AngleSTQ
Measure of angleQRT = 2*Measure of angleRTQ
AngleQRT Is-congruent-to AngleRTQ
The complete question is
"Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT?
Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ"
The true about AngleQRT options are A abd B; ∠QRT = 90 and ∠QRT = ∠SRT
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Given information;
The triangle QST is isosceles with QT ≅ ST.
The ∠STR and ∠RTQ are congruent.
Now, consider two triangles ∠QTR and ∠STR
In the following triangle
TR ≅ TR
QTR ≅ STR
QT ≅ ST
Now, according to SAS rule, two congruent triangles have congruent corresponding to their sides,
1. QR ≅ SR
2. QRT ≅ SRT
Since the above two angles are congruent so, they will have the same measure
That will be 90 degree.
Hence, The correct options are; ∠QRT = 90 and ∠QRT = ∠SRT
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Please help! photo is attached, will give brainliest.
Answer:84
Step-by-step explanation:
Okay. Are you taking calc? Dv/dt =d/dt(L(t)^3)=d/dt[(sqrt(14)+2t)^3]= 6(Sqrt(14)+2t)^2)=44. We defined t=0 to be time at which length is sqrt(14). Does that work?
Given that the quadrilateral is a parallelogram, find the values of x, y and z.
Answer:
x=9
y=4
z=4
Step-by-step explanation:
9x-13=7x+5
9x-7x=5+13
2x=18
x=18/2=9
3y=12
y=12/3=4
11z-41=5z-17
11z-5z=-17+41
6z=24
z=24/6=4
What substitution should be used to rewrite 16(x³ + 1)² − 22(x³ + 1) − 3 = 0 as a quadratic equation?
O u = (x³)
Ou= (x³ + 1)
Ou = (x³ + 1)^2
Ou= (x³ + 1)^3
The correct answer is option B which is u = ( x³ + 1).
What is a quadratic equation?The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.
Given expression is as follows:-
16(x³ + 1)² − 22(x³ + 1) − 3 = 0
Put u = ( x³ + 1) the equation will become:-
16u² -22u-3 = 0
Now the above equation has become a quadratic equation.
Therefore the correct answer is option B which is u = ( x³ + 1).
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Tricia is going too write patterns a, b, and c using the rule "add 15." the first number in each pattern is shown below. Use the drop-down menus too describe the patterns. Pattern A: 5
Pattern B: 10
Pattern C: 15
Each patter will blank
A: contain odd numbers only
B: alternate between odd and even numbers
C: Include a number with 2 in the ones place
D: Include a number with 1 in the tens place
Answer:
Number 40 appeared in Pattern B. Also, according to the rule, each pattern will increase.
Step-by-step explanation:
Let's develop each sequence. Remembe that the rule is "add 15", that's what we need to create each sequence starting from the given initial number.
Pattern A.

Pattern B.

Pattern C.

As you can observe, number 40 appeared in Pattern B. Also, according to the rule, each pattern will increase
Part 3 - Discussion/Explanation Question
In what ways can vertical, horizontal, and oblique asymptotes be identified? Use a mathematical example to
explain the ways.
Step-by-step explanation:
Vertical asymptote can be Identites if there is a factor only in the denominator. This means that the function will be infinitely discounted at that point.
For example,
[tex] \frac{1}{x - 5} [/tex]
Set the expression in the denominator equal to 0, because you can't divide by 0.
[tex]x - 5 = 0[/tex]
[tex]x = 5[/tex]
So the vertical asymptote is x=5.
Disclaimer if you see something like this
[tex] \frac{(x - 5)(x + 3)}{(x - 5)} [/tex]
x=5 won't be a vertical asymptote, it will be a hole because it in the numerator and denominator.
Horizontal:
If we have a function like this
[tex] \frac{1}{x} [/tex]
We can determine what happens to the y values as x gets bigger, as x gets bigger, we will get smaller answers for y values. The y values will get closer to 0 but never reach it.
Remember a constant can be represent by
[tex]a \times {x}^{0} [/tex]
For example,
[tex]1 = 1 \times {x}^{0} [/tex]
[tex]2 = 2 \times {x}^{0} [/tex]
And so on,
and
[tex]x = {x}^{1} [/tex]
So our equation is basically
[tex] \frac{1 \times {x}^{0} }{ {x}^{1} } [/tex]
Look at the degrees, since the numerator has a smaller degree than the denominator, the denominator will grow larger than the numerator as x gets larger, so since the larger number is the denominator, our y values will approach 0.
So anytime, the degree of the numerator < denominator, the horizontal asymptote is x=0.
Consider the function
[tex] \frac{3 {x}^{2} }{ {x}^{2} + 1} [/tex]
As x get larger, the only thing that will matter will be the leading coefficient of the leading degree term. So as x approach infinity and negative infinity, the horizontal asymptote will the numerator of the leading coefficient/ the leading coefficient of the denominator
So in this case,
[tex]x = \frac{3}{1} [/tex]
Finally, if the numerator has a greater degree than denominator, the value of horizontal asymptote will be larger and larger such there would be no horizontal asymptote instead of a oblique asymptote.
the ratio of the length of an arc of the circle to the circumference of the circle is 3:7, if the diameter of the circle is 14cm calculate to three significant figures the (a) perimeter of the minor circle (b) area of the minor circle, take thither=22/7
The perimeter and area of this minor circle are equal to 32.857 units and 88.345 units² respectively.
How to calculate the perimeter of the minor circle?First of all, we would determine the circumference of this circle by using this formula:
C = πD
C = 22/7 × 14
C = 44 units.
For the length of an arc of the circle:
Arc length/Circumference = 3/7
Arc length = 3/7 × C
Arc length = 3/7 × 44
Arc length = 18.857 units.
Now, we can calculate the perimeter:
Perimeter = 2r + arc length
Perimeter = 2(14/2) + 18.857
Perimeter = 14 + 18.857
Perimeter = 32.857 units.
The area of the minor circle.Mathematically, the area of a minor circle is given by this formula:
Area = θr²/2
But, we would have to find the angle in radians:
18.857/32.857 = θ/360
θ = 3.6059 radians.
Substituting the given parameters into the formula, we have;
Area = (3.6059 × 7²)/2
Area = 88.345 units².
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please help me to solve all the questions would appreciate it if its with full working
∠ KGH is equal to 77°. This is arrived at by using the knowledge of the total angles in Parallel Lines.
What are the total angles on a straight line?
According to the laws of lines and angles, the total number of angles that can exist on a straight line is 180°.
If ∠CED = 25° and ∠BFL = 78°, then: ∠KGH = 180-(25+78), which is equals 77°. This is because the total angles on a straight-line total 180°
What is ∠LKJ?Recall that in angles in parallel lines:
Corresponding Angles are always congruent, Alternate Angles are always congruent, and Interior According always sum up to 180°Hence,
We can derive ∠LKJ because it is congruent with ∠BGJ.
To get ∠BGJ, we must get ∠LFH because both of them are interior angles and sum up to 180°.
To get ∠LFH, we must subtract ∠BFL from 180° because they are both angles on a straight line.
Hence ∠LFH = 180 - 78 = 102°
Recall that ∠LFH and ∠BGJ are interior angels. Hence
∠BGJ = 180 - 102 = 78°.
Since ∠BGJ is a corresponding ∠ with ∠LKJ, therefore
∠LKJ = 78°
What is ∠ALM?
∠ALM is ∠BFL because they are both corresponding angles and are therefore congruent.
What are the solutions to section B?Because ∠ACB and ∠BAC are equal, therefore sides AB and BC are equal in length. We can tell that ∠ACB and ∠BAC are equal because the total angles in the triangle are equal to 180°2. The name given to the triangle mentioned above is Obtuse
Triangle. This is because one of the angles exceeds 90°.
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The point at which three or more lines intersect is the point of _____ concurrency. concurrency. tangency. equality. parallelism.
The point at which three or more lines intersect is the point of concurrency.
What is the point where three line intersect?The point were three lines meet or intersect is a point of concurrency.
In other words, a point of concurrency is where three or more lines intersect in one place.
This point of concurrency is a single point shared by three or more lines.
Perpendicular bisectors, and altitudes are concurrent in every triangle.
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Answer:
concurrency
Step-by-step explanation:
Look above for more
factor the following expressions
got really sick and missed a bunch of school, would really appreciate the help !
Answer:
i hope this will help you
Which of these need to be purchased in addition to renter's insurance? Select all that apply.
-Earthquake insurance
-fire insurance
-flood insurance
-Lightning insurance
-tornado insurance
The following needs to be purchased in addition to renter's insurance;
Earthquake insuranceflood insurancetornado insurance What is renters insurance?Renter’s insurance is a policy which covers the loss of people renting or subletting a property. It helps to protect against loss of properties within the insured apartment.
Here are some problems covered by renters insurance:
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The solution for which of the following is neither a interger nor a fraction 4x+7=x+2 ,5x-8=x+4, 3x+2=5x+2, none of the above
Answer:
none of the above
Step-by-step explanation:
4x + 7 = x + 2
4x - x + 7 = x - x + 2
3x + 7 = 2
3x + 7 - 7 = 2 - 7
3x = -5
3x / 3 = -5 / 3
x = -5 / 3 = -1.667
5x - 8 = x + 4
5x - x - 8 = x - x + 4
4x - 8 + 8 = 4 + 8
4x = 12
4x / 4 = 12 / 4
x = 3
3x + 2 = 5x + 2
3x - 5x + 2 = 5x - 5x + 2
-2x + 2 = 2
-2x + 2 - 2 = 2 - 2
-2x = 0
x = 0
Integers, As a whole number that can be written without a remainder,
x = 3
x = 0
(Mixed) Fraction
x = -5 / 3 = -1.667
.Find the distance between the two points
(3, 5) and (4, 6) to the nearest tenth.
Katherine wants to use a sheet of fiberboard 18 inches long to create a skateboard ramp with a 17
∘
∘
angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.
The rise from the ground by the skateboard is 5.5 inches
How to determine the height above the ground?The length of the skateboard is given as:
Length (l) = 18 inches
The angle of elevation (x) is
x = 17∘
Represent the height with h.
The value of h is calculated using the following tangent ratio:
tan(x) = h/l
Make h the subject
h = l * tan(x)
Substitute known values
h = 18 * tan(17)
Evaluate
h = 5.5
Hence, the rise from the ground by the skateboard is 5.5 inches
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Answer: 5.3
Step-by-step explanation:
SOH-CAH-TOAsin 17=oppositehypotenuse=x18sin 17=hypotenuseopposite=18xsin 17=sin 17= x1818xsin 171=1sin 17= x1818x18 sin 17=18 sin 17= xxx=5.262690...≈5.3x=5.262690...≈5.3
Drag each tile to the correct box.
Each tile shows an investor’s tax bracket along with the tax-free yield of a bond the investor purchased. Use the formula to determine the taxable equivalent yield of each investment, and then order the investments from least to greatest return.
taxable equivalent yield =
100 PTS
The order the investments from least to greatest return,
tax bracket is 22% and tax-free yield is 3% < tax bracket is 35% and tax-free yield is 3% < tax bracket is 24% and tax-free yield is 4% < tax bracket is 12% and tax-free yield is 5% < tax bracket is 12% and tax-free yield is 5%
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
We know the value of a fraction gets larger when the numerator becomes larger and the denominator gets smaller.
Given, Each tile shows an investor’s tax bracket along with the tax-free yield of a bond the investor purchased.
(tax-free yield)/(100 - tax bracket).
Now, tax bracket is 24% and tax-free yield is 5%.
= 5/100 - 24.
= 5/76.
= 0.0658.
Similarly,
tax bracket is 12% and tax-free yield is 5%
= 0.0641.
tax bracket is 22% and tax-free yield is 3%
= 0.0384.
tax bracket is 24% and tax-free yield is 4%
= 0.0526.
tax bracket is 35% and tax-free yield is 3%
= 0.0461.
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Does anyone know the correct answer
Answer:
[tex]2\sqrt{5}[/tex] is an irrational number.
[tex](\sqrt{3} )^2[/tex] is a rational number.
Step-by-step explanation:
What are the solutions for the following system of equations?
3x² + 4y - 21
4x² + y = 10
(1,6) and (0, 10)
(-1,6) and (1. 6)
(1,6) and (3, 12) G1
(-1, 6) and (3. 12)
We will use graphical way to solve these
3x²+4y-21=04x²+y=10Graph both
The solutions are
(±1.209,4.154)None of the above
Select the correct answer.
An airline operates in only 10 destinations in 2015, but plan on adding more destinations each year. In 2016, the number of destinations will be
twice the initial number of destinations. Then, in 2017, the number of destinations will be twice the number of destinations the previous year. If
this pattern continues, which of the following graphs represents the number of destinations in which the airline will operate over time?
Answer:
would need to see the graph
Step-by-step explanation:
see answer advice
What is the volume of the following solid figure?
Answer: 450
Step-by-step explanation:
The volume is (1/2)(5)(12)(15)=450.
A set of cards contains the numbers 1 through 20. Mathieu chooses a card at random, records the number of the card, and then returns the card to the set. He conducts 200 trials of this event. Based on the theoretical probability, how many times can Mathieu expect to choose a multiple of 5?
10
20
40
50
Answer:
20
Step-by-step explanation:
Answer:
the one above me is WRONG, its 40 i swear i just did the unit test
Step-by-step explanation:
Which could be the entire interval over which the function, f(x), is positive?
Why?
Notice that f(x) is positive when -2 < x < 1. In other words, f(x) is positive when x = -1 and when x = 1.
This interval of -2 < x < 1 translates directly to the interval notation of (-2, 1)
Unfortunately this interval notation looks identical to ordered pair notation. Be sure not to mix the two concepts up.
The parenthesis in interval notation tell the reader "do not include the endpoints". We cannot include x = -2 nor x = 1 because these values make f(x) zero, but we want f(x) > 0.
Something like choice D is a non-answer because the value x = 2 is in the interval (1,4), but f(2) = -8 which isn't positive. We can rule choice D out because of it. Choices A and C are similar situations.
if x=2, and y=-3, then xy^2 =
Answer:
36
Step-by-step explanation:
If x = 2 and y = -3...
xy^2=
(2)(-3)^2 =
-6^2 =
36
XY times 2=
(-6)(2) =
-12
Answer:
18
Step-by-step explanation:
First you must fill input the values into their variable counterparts:
xy^2 turns into: 2 * -3 ^2
Since there isn't a parenthesis around x AND y, the exponent only applies to the y value.
-3 ^2 = 9, so 2 x 9 = 18
xy^2 = 18 if x =2 and y = -3
Please help me with this.
Answer:
ok umm this looks hard can u give mor info?
Step-by-step explanation:
2. Given the following angle measurements for a triangle, find the remaining angle.
a. 53, 69
b. 105, 47
c. 90, 25