x2-8x-20=0
x2-10x+2x-20
x(x-10)+2(x-10)
(x+2)(x-10)
14 + 18 divided by 2 * 18
Is the answer 86 or no?
Answer:
No.
Step-by-step explanation:
Order of Operations using BPEMDAS:
14 + 18/2(18)
14 + 9(18)
14 + 162
176
how to do this question plz
Answer:
adult = £7 and child = £2
Step-by-step explanation:
let a represent adult ticket and c child ticket, then
2a + 3c = 20 → (1)
a + 4c = 15 → (2)
Multiply (2) by - 2 and add to (1) to eliminate a
- 2a - 8c = - 30 → (3)
Add (1) and (3) term by term
- 5c = - 10 ( divide both sides by - 5 )
c = 2
Substitute c = 2 into either of the 2 equations and solve for a
Substituting into (1)
2a + 3(2) = 20
2a + 6 = 20 ( subtract 6 from both sides )
2a = 14 ( divide both sides by 2 )
a = 7
Cost of adult ticket is £7 and child ticket is £2
(06.01, 06.02 HC) I WILL MARK YOU BRAINIEST Part A: Create a fourth-degree polynomial in standard form. How do you know it is in standard form? (5 points) Part B: Explain the closure property as it relates to polynomials. Give an example. (5 points)
A fourth-degree polynomial in standard form is :
To write a polynomial in a standard form you have to set its terms according to the variable powers in a descending order.In this example it would give:
−6[tex]x^{4}[/tex]+3[tex]x^{2}[/tex]+4x +2
The degree of a polynomial is the maximum power of an unknown variable in the polynomial.Part B:
The closure property as it relates to polynomials are :
Polynomials are closed for addition and subtraction. This is because the power does not change. Only the coefficients are changed. This is illustrated by the examples below:(2x2 + 3x + 4) + (x2 - 5x - 3)
3x2 - 2x + 1.
The above operation does not change the degree. Only the number next to each variable changes.Therefore, the addition and subtraction of polynomials is closed.
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2 Points
What is the measure of XYZ?
O A. 3000
O B. 240
O C. 120°
60
Y
O D. 150
Answer:
240
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
60 = 1/2 XZ
Multiply each side by 2
120 = XZ
But we want XYZ
XZ + XYZ = 360
120 + XYZ = 360
XYZ = 360 -120
XYZ = 240
BRAINLIEST What is the volume of the right triangular prism, in cubic meters? Round to the nearest cubic meter.
1,771
2,071
3,542
4,143
Answer:
The answer to this would most likely be the first option: A. 1,771
Step-by-step explanation:
I've seen the question before.
The volume of the right triangular prism is 1771 cubic meters
What is the volume of a right triangular prism?The volume of a right triangular prism can be estimated by using the formula:
[tex]\mathbf{V = \dfrac{1}{2} \times b \times h \times l}[/tex]
where;
b = base length of the triangle = 14h = height of the triangle = 23l = length of the prism = 11[tex]\mathbf{V = \dfrac{1}{2} \times 14 \times 23 \times 11}[/tex]
V = 1771 m³
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CAN SOMEOBODY ANSWER MY QUESTIONS?? The area of the regular hexagon is 50 in sq. What is the measure of the apothem? 10 in 5 in 25 in 2 in
Answer:
25in
Step-by-step explanation:
Please refer the attached photo and help as its important
Answer:
A
Step-by-step explanation:
The perimeter is more since the shape gained many new sides but the area is less because the rectangle lost a little square
Answer:
Option A
Step-by-step explanation:
=> The perimeter is more because there are more sides in figure 2 than in figure 1 and they are more in length too.
=> The area is less since Figure 2 is overlapping which decreases its area than the area of Figure 1 where nothing overlaps.
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The standard equation of a circle is expressed as:
[tex]x^2+y^2+2gx+2fy+C=0[/tex]
Centre is (-g, -f)radius = √g²+f²-CGiven a circle whose equation is [tex]x^2 + y^2 - 2x - 8 = 0.[/tex]
Get the centre of the circle
2gx = -2x
2g = -2
g = -1
Similarly, 2fy = 0
f = 0
Centre = (-(-1), 0) = (1, 0)
This shows that the center of the circle lies on the x-axis
r = radius = √g²+f²-C
radius = √1²+0²-(-8)
radius =√9 = 3 units
The radius of the circle is 3 units.
For the circle x² + y² = 9, the radius is expressed as:
r² = 9
r = 3 units
Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
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Answer:
a, b and e
Step-by-step explanation:
i got it correct on edge
true or false rise is the horizontale change between any two points on a line
Answer:
False
Step-by-step explanation:
rise is the vertical change between any two points on a line.
The ratio of Mark's age to Reeta's age is 3:5
Mark's age is 24 years.
(a) Work out Reeta's age.
Answer:
40
Step-by-step explanation:
Set up a ratio. Solve for x.
[tex]\frac{3}{5}=\frac{24}{x} \\3x = 120\\x=40[/tex]
Reeta is 40 years old.
Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 3 (5 points)
Answer:
x=-1 1/2,x=-1.5
Step-by-step explanation: x=-3/2
Write Polynomial function with zeros at 4,-2,1. Then graph it.
Answer:
(x-4)(x+2)(x-1)
Step-by-step explanation:
hello,
by definition of the zeros we can write the polynomial as below
(x-4)(x+2)(x-1)
and find below the graph of this function
hope this helps
At the beginning of year 1, Josie invests $400 at an annual compound interest rate of 5%. She makes no deposits to or withdrawals from the account. Which explicit formula can be used to find the account's balance at the beginning of year 3?
A. A(3) = 400 • (1 + 0.05)3 – 1
B. A(3) = 400 + (3 – 1)(0.05 • 400)
C. A(3) = 400 + (0.05 • 400)3 – 1
D. A(3) = 400 • (1 + 0.05)3
Answer: A
Step-by-step explanation:
Since she invested $400 in the beginning if the 1st year and we are asked to find the balance at the beginning of the third year, she earns interest only for the first two years. So, the formula will be
Amount = 400 (1 + 0.05) ^3-1
To find the balance in Josie's account at the beginning of the the third year we have to use A(3)=[tex]400*(1+0.05)^{3-1}[/tex]
What is Compound interest?It is the interest calculated on the initial principal amount and the accumulated interest. The formula to calculate the sum after compound interest is
Sum= [tex]P(1+r/m)^{tm}[/tex] where P=principal, r= rate of interest, m= number of times compounded in a year, t=time
How to calculate sum when interest is compounding?At the beginning of year 1, Josie invests $400 at an annual compound interest at the rate of 5%,then the amount at the beginning of year 3 is calculated as:
The amount in beginning of 1 year=$400
The amount at the end of the year 1=400+400*0.05=400(1+0.05)
The amount at the end of year 2=400(1+0.05)+400(1+0.05)*0.05
=[tex]400(1+0.05)^{2}[/tex]
=[tex]400(1+0.05)^{3-1}[/tex]
Hence the option A is correct which is to be used to calculate the amount in Josie's account at the beginning of year 3.
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Select the interval where h(x)>0 {where h of x is greater than 0}
Option1. -3.5 Option2. -2 Option3. 2.5
Answer:
The correct option is;
Option 3. 2.5
Step-by-step explanation:
From the graph of the function y = h(x), where h of x h(x) > 0 and x > 0 we have;
The first interval where y =h(x) > 0 occurs between x= 0 and x = 0.8
The second interval where y =h(x) > 0 occurs between 2.2 and 4 which is a range of 4 - 2.3 = 1.7
The total interval where y =h(x) > 0 occurs is therefore = 0.8 + 1.7 = 2.5
Thus the function y = h(x), is positive over an interval on the x-axis = 2.5.
Answer:
Option 3. 2.5Step-by-step explanation:
Natalie has 8 socks in a drawer.
5 of the socks are black.
3 of the socks are white.
Natalie takes out a sock at random, writes down its colour and puts it back into
the drawer.
Then Natalie takes out a second sock, at random, and writes down its colour.
Answer:
Probability that the two socks picked by Natalie are of the same colours = (17/32) = 0.53125
Step-by-step explanation:
Complete Question
Natalie has 8 socks in a drawer.
5 of the socks are black.
3 of the socks are white.
Natalie takes out a sock at random, writes down its colour and puts it back into
the drawer. Then Natalie takes out a second sock, at random, and writes down its colour.
Work out the probability that the two socks are of the same colour.
Solution
This is a probability that involves replacement.
Probability of an event is given as the number of elements in the event divided by the total number of elements in the sample space.
If the event that a black socks is picked = P(B)
Then, the event that a white socks is picked = P(W)
P(B) = n(B) ÷ n(S)
n(B) = 5
n(S) = 8
P(B) = (5/8)
P(W) = n(W) ÷ n(S) = (3/8)
Probability that the two socks picked by Natalie are of the same colours = (Probability that the two socks picked are black) + (Probability that the two socks picked by Natalie are white)
Probability that the two socks picked are black = (5/8) × (5/8) (since the socks are picked and replaced, the probability stays the same)
= (25/64)
Probability that the two socks picked by Natalie are white = (3/8) × (3/8) = (9/64)
Probability that the two socks picked by Natalie are of the same colours
= (25/64) + (9/64)
= (34/64)
= (17/32) = 0.53125
Hope this Helps!!!
Translate into an algebraic expressions: 120 is increased by d% and increased by 25% . What is the result ?
Answer:
The result is 150 + 1.5d
Step-by-step explanation:
We want to translate the wordings into algebraic expression.
Firstly, we increase 120 by d%
d% = d/100
So increasing 120 by d % means;
120 + (d/100 * 120)
= 120 + 1.2d
Then increase this by 25%
= (120 + 1.2d) + 25/100(120 + 1.2d)
= 120 + 1.2d + (120+1.2d)/4
= 120 + 1.2d + 30 + 0.3d
= 120 + 30 + 1.2d + 0.3d
= 150 + 1.5d
Pqrs is a rhombus. Find x, y and z. Justify your finding.
Answer:
x = 4, y = 2√21, z = 10
Step-by-step explanation:
Since all sides of a rhombus are congruent, z = SR = 10. Since the diagonals of a rhombus bisect each other, x = PO = 4. Using Pythagorean Theorem (look at ΔPSO, we know that PS = 10 and PO = 4), y = 2√21.
need help asap!!! WILL GIVE THE MOST BRAINIEST TO WHOEVER ANSWERS IT RIGHT PUT THE ANSWER IN A BOX
Answer:
36PI
113.04
Step-by-step explanation:
4/3*PI*R^3=V
4/3*PI*27=V
36*PI=V
113.04
BRAINLIEST PLS
-ZYLYNN JADE
Answer:
113.10 (to the nearest hundredth)
Step-by-step explanation:
just google volume of a sphere
Purple paint requires an exact mixture of blue and red. The ratio of blue paint to red paint is 2:5. Marissa needs 35 cups of purple paint to paint a wall. How much of each color would be needed to make a total of 35 cups of perfect purple paint?
Answer:
achievements
Step-by-step explanation:
please helppppp me !!!!
Answer:
Impossible.
Step-by-step explanation:
The first and 2nd have to add up to more than the 3rd side.
According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle that has side lengths 5, 6 and 11, for instance, since 5 + 6 is = 11
Answer:
Impossible
Step-by-step explanation:
It is impossible because the smaller 2 numbers need to add up to a larger number than 11 to make a triangle, because how would there be room for angles since an 11 inch angle is shorter than an 11 inch line. The angle would not be able to meet up with both ends of the 11 inch line.
33°
87°
х
у
y = [ ? 10
Enter
Answer:
x= 60° y= 120°
Step-by-step explanation:
The sum of the sizes of a triangle's angles equals 180°
x+87+33= 180 x+120 = 180 x= 180-120x = 60°y+x = 180 ⇒ y = 180-x = 180-60= 120
Answer:
y = 120
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
y = 33+87
y = 120
g(x) = 4x + 1
What is g(3)?
————————————-
A. 13
B. 16
C. 12
D. 8
Answer:
A. 13.
Step-by-step explanation:
g(x) = 4x + 1
g(3) = 4 * 3 + 1 = 12 + 1 = 13
A. 13 is your answer.
Hope this helps!
Answer:
13
Step-by-step explanation:
g(x) = 4x + 1
Let x=3
g(3) = 4*3+1
= 12+1
= 13
The time series graph gives some information about the number of
umbrellas sold in a shop in the first six months of 2015.
The sales target for the first
100
six months of 2015 was to
sell a mean of 65 umbrellas
per month
80
Did the shop meet this target?
Show how you get your answer.
Number of umbrellas sold,
60
40
20
Jan
Feb
May
Jun
Mar Apr
Months
Answer:
Average is less than 65, therefore, shop did not meet the target.
Step-by-step explanation:
The time series graph gives some information about the number of umbrellas sold in a shop in the first six months of 2015.
From the given graph it is clear that the number of umbrellas sold in Jan, Feb, Mar, Apr, May, June are 54, 84, 72, 94, 52, 26 respectively.
Average sales is
[tex]Average=\dfrac{\text{Sum of number of umbrellas sold in 6 months}}{6}[/tex]
[tex]Average=\dfrac{54+84+72+94+52+26}{6}[/tex]
[tex]Average=\dfrac{382}{6}[/tex]
[tex]Average=63.67<65[/tex]
Since, average is less than 65, therefore, shop did not meet the target.
From the time-series, it is found that since the mean is below 65, the shop did not meet the target.
The mean of data-set is the sum of all observations divided by the number of observations.
From the time-series, there are 6 observations: 55, 85, 72, 90, 52, 25.
Hence, the mean is:
[tex]M - \frac{55 + 85 + 72 + 90 + 52 + 25}{6} = 63.2[/tex]
Since the mean is below 65, the shop did not meet the target.
A similar problem is given at https://brainly.com/question/24696690
In a circle graph, 36% represents what angle?
Hey there!
First; let us understand that there are 360° in a full circle.
This is what we are representing.
We need to find a way to multiply to get the answer.
36% of 360 = 0.36, therefore we need to make 0.36 x 360
Multiply 0.36 x 360
Therefore, we get 129.6°
EXACT Answer:129.6°
Rounded answer:130°
Answer: 129.6
Step-by-step explanation:
So, there are 360 in one full circle.
We will multiply to get a product.
36% of 360 = 0.36, Make 0.36 x 360
0.36 x 360 = 129.6
En una casa de empanadas hornean 1.200 por día. Si las cocinan en fuentes de 75 unidades, colocando siempre la mayor cantidad posible, ¿Cuántas fuentes preparan?
Answer:
16 unidades preparan simultáneamente 1200 empanadas por día.
Step-by-step explanation:
Si cada fuente tiene una capacidad de 75 empanadas por horneada y que la mayor cantidad posible ocurre cuando el volumen de producción se cocina simultáneamente, entonces el total de fuentes es la cantidad total de producción dividida por la capacidad de empanadas por fuente. Es decir:
[tex]x = \frac{1200\,emp}{75\,\frac{emp}{und} }[/tex]
[tex]x = 16\,unidades[/tex]
16 unidades preparan simultáneamente 1200 empanadas por día.
Again. I need help with this
Answer:
Option B.
Step-by-step explanation:
Scale factor of the image = [tex]\frac{\text{One side of the triangle FED}}{\text{Corresponding side of the triangleABC}}[/tex]
= [tex]\frac{\text{DF}}{\text{AC}}[/tex]
= [tex]\frac{3}{6}[/tex]
= [tex]\frac{1}{2}[/tex]
Coordinates of point C → (-2, 2)
Coordinates of the corresponding point C' after dilation with a scale factor [tex]\frac{1}{2}[/tex],
C(-2, 2) → C'(-1, 1)
Coordinates of point C' after reflection across y-axis,
C'(-1, 1) → C"(1, 1)
Followed by the translation of 2 units downwards,
C"(1, 1) → D[1, (1 - 2)]
→ D(1, -1)
From the graph we get the same coordinates of point D as (1, -1).
Therefore, ΔABC was dilated by a scale factor of [tex]\frac{1}{2}[/tex], reflected across the y-axis and moved through the translation of 2 units downwards.
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine.
31.5 36.0 37.8 38.5 40.1 42.234.2 36.2 38.1 38.7 40.6 42.534.7 37.3 38.2 39.5 41.4 43.435.6 37.6 38.4 39.6 41.7 49.3
(a) Compute the z-score corresponding to the individual who obtained 32.3 miles per gallon. Interpret this result. (b) Determine the quartiles. (c) Compute and interpret the interquartile range, IQR. (d) Determine the lower and upper fences. Are there any outliers?
Answer:
Explained below.
Step-by-step explanation:
The data provided is as follows:
S = {31.5, 36.0, 37.8, 38.5, 40.1, 42.2, 34.2, 36.2, 38.1, 38.7, 40.6, 42.5, 34.7. 37.3, 38.2, 39.5, 41.4, 43.4, 35.6, 37.6, 38.4, 39.6, 41.7, 49.3}
Compute the mean and standard deviation as follows:
[tex]\mu=\frac{1}{n}\sum X=\frac{1}{24}\times [31.5+36.0+37.8+...+49.3]=38.88\\\\\sigma=\sqrt{\frac{1}{n-1}\sum (X-\mu)^{2}}=\sqrt{\frac{1}{24-1}\times 299.639584}=3.61[/tex]
(a)
Compute the z-score corresponding to the individual who obtained 32.3 miles per gallon as follows:
[tex]z=\frac{X-\mu}{\sigma}[/tex]
[tex]=\frac{32.3-38.88}{3.61}\\\\=-1.823[/tex]
Thus, the z-score corresponding to the individual who obtained 32.3 miles per gallon is -1.823.
(b)
The data set arranged in ascending order is:
S = {31.5 , 34.2 , 34.7 , 35.6 , 36 .0, 36.2 , 37.3 , 37.6 , 37.8 , 38.1 , 38.2 , 38.4 , 38.5 , 38.7 , 39.5 , 39.6 , 40.1 , 40.6 , 41.4 , 41.7 , 42.2 , 42.5 , 43.4 , 49.3}
The set consists of 24 values.
The first and third quartile are:
[tex]Q_{1}=[\frac{n+1}{4}]^{th}\ obs.=[\frac{24+1}{4}]^{th}\ obs.=12.5^{th}\ obs.=\frac{36.2+ 37.3}{2}=36.75\\\\Q_{3}=[\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(24+1)}{4}]^{th}\ obs.=18.75^{th}\ obs.=\frac{40.6+41.4}{2}=41[/tex]
Thus, the value of Q₁ is 36.75 and Q₃ = 41.
(c)
Compute the inter-quartile range as follows:
[tex]IQR=Q_{3}-Q_{1}=41-36.75=4.25[/tex]
The inter-quartile range is 4.25.
The inter-quartile range is the amount of data that is contained within the middle 50% of a set of observations, when arranged in order. It is the distance between the first and third quartile.
(d)
Compute the values of lower and upper fences as follows:
[tex]\text{Lower fence}=Q_{1}-1.5\times IQR=36.75-(1.5\times 4.25)=30.375\approx 30.38\\\\\text{Upper fence}=Q_{3}+1.5\times IQR=41+(1.5\times 4.25)=47.375\approx 47.38[/tex]
Any values that are less than the lower fence or more than the upper fence are considered as outlier.
Consider the arranged data set.
Only one value is more than the upper fence, 47.38, i.e. 49.3.
So, yes there is one outlier, i.e. 49.3.
1
2
D
3
In the diagram above, Z4 = x+30 and
L2= 2x+15. Find the measure of Z4.
24 = [?]°
Answer:
45°Solution,
<4= X+30
<2= 2x+15
Now,
[tex]x + 30 = 2x + 15[/tex]
( being corresponding angles)
[tex] x - 2x = 15 - 30 \\ or \: - x = - 15 \\ x = 15[/tex]
Replacing value,
[tex] < 4 = x + 30 \\ \: \: \: \: \: = 15 + 30 \\ \: \: \: \: \: = 45[/tex]
The measure of <4 is 45°
About corresponding angles:Please see the attached picture.
There,
<a is an exterior and <d is an interior angle lying to the same side of transversal and they are not adjacent to each other. They are called corresponding angles. B and D are another pairs of corresponding angles.A pair of corresponding angle made by a transversal with parallel lines is always equal.
Hope this helps...
Good luck on your assignment...
PLEASE HELP - Find the area of a regular octagon with a side length of 5 cm. Round to the nearest tenth. (Please explain in full detail the process, im trying to learn how to do these) thank you!!
Answer:
120.7
Step-by-step explanation:
The formula for finding the area of a regular octagon is: A = 2(1+[tex]\sqrt{2}[/tex])[tex]a^{2}[/tex].
Using the formula I got 120.7(rounded).
The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².
We have,
To find the area of a regular octagon with a side length of 5 cm, you can use the following formula:
Area = 2 * (1 + √2) * (Side Length)²
Plugging in the values:
Area = 2 * (1 + √2) * (5 cm)² ≈ 120.7 cm²
Therefore,
The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².
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The figure is not drawn to scale. PQ and MN are straight lines. Find
Answer:
a = 138
Step-by-step explanation:
Notice that from the figure, we can see that ∠MOQ and ∠PON are vertical angles, which means that by definition, they're congruent in measure.
∠MOQ = ∠MOR + ∠ROQ = 90 + 48 = 138°
So, this means that ∠PON is also equal to 138, which means a = 138.
Thus, the answer is a = 138.
~ an aesthetics lover