The solutions to the function y = -x^2 - 8x + 8 are (-8.9, 0) and (0.9, 0)
What is the solution to this functionFrom the question, we have the following parameters that can be used in our computation:
y = -x^2 - 8x + 8
To solve using a graphing calculator, we enter the equation in a graph and write out the solution
Having said that we have
When y = -x^2 - 8x + 8 is plotted, the soluton is (-8.9, 0) and (0.9, 0)
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Bookwork code: A99
The table shows the hair colours of the
students in a sports team.
Hair colour
Black
Blonde
Brown
Frequency
1
< Back
a) What fraction of the students have brown
hair? Give your answer in its simplest form.
b) How many sections on this pie chart
would you shade to show the students with
brown hair?
4
2
Scroll down
Watch video
Answer >
A fraction of the students who have brown hair is equal to 1/7.
You should shade only one (1) section on the pie chart to show the number of students with brown hair.
What is a pie chart?In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.
Based on the information provided in the table (see attachment), we can logically deduce the following parameters about the various hair color;
Number of brown hair = 1 brown hair.
Number of blonde hair = 4 blonde hair.
Number of black hair = 2 black hair.
Therefore, the total number of hairs is equal to 7 hairs.
For the fraction of students with brown hair, we have;
Fraction = 1/7.
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10 Ten Atlas batteries were tested to find their average life. The times, in hours, that the batteries lasted were as follows: 10.8, 10.6, 11.4, 8.9, 10.1, 10.6, 9.9, 12.6, 10.5, 11.9. a Find, to the nearest tenth of an hour, the average life of the ten batteries. b Which of the following advertisements is more accurate? i Atlas batteries are guaranteed to last 10 hours. ii Atlas batteries have an average life of over 10 hours.
a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2
Number of values = 10
Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63
Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.
b) Comparing the two advertisements:
i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum
ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.
Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.
In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.
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10 pound bag of flour contains 38 cups of flour. How many pounds of flour for 50 cups of flour?
Answer:
x = 19 \(\frac{3}{19}\) pounds of flour
Step by Step Solution:
We can write this as a ratio....
10:38 = X:50
Now we can set this up as a proportion....
\(\frac{10}{38}\)=\(\frac{X}{50}\)
Now, we can cross multiply....
38x = 500
Now, we divide both sides by 38...
x = \(\frac{500}{38}\)
x = 19 \(\frac{3}{19}\) pounds of flour
Hope this Helps!!! :)
Let me know in the comments if I should change anything or if the answer was perfect!
\(13\frac{3}{19}\) pounds of flour for 50 cups of flour is required.
What is proportion?The size, number, or amount of one thing or group as compared to the size, number, or amount of another.
Given that, a 10 pound bag of flour contains 38 cups of flour
Let x be the pounds of flour for 50 cups.
The proportion can be made;
38/10 = 50/x
x = 250/19
x = \(13\frac{3}{19}\)
Hence, \(13\frac{3}{19}\) pounds of flour for 50 cups of flour is required.
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please help
A
B
C
or
D
Answer:B
Step-by-step explanation:54 is the amount of Miles=M so dividing 54 by 30 which is 1.8 miles but the amount is separated into 30 which means that 1.8M is equal to 1 day of the 30 days.So answer is B.
Find the sum of the first seven terms of the geometric sequence series having the following information: 2-8+32- … +a n
Answer:
6554-------------------------------
From the given information we can see:
The first term is a = 2,Common ratio is r = - 4Use the equation for the sum of the first n terms:
Sₙ = a(rⁿ - 1)/(r - 1)S₇ = 2((-4)⁷ - 1)/(-4 - 1) = 6554Answer:
\(S_7=6554\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{7 cm}\underline{Sum of the first $n$ terms of a geometric series}\\\\$S_n=\dfrac{a(1-r^n)}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)
Given geometric series:
\(2-8+32-...+a_n\)
The first term (a) of the sequence is 2:
\(\implies a=2\)
To find the common ratio (r), divide consecutive terms:
\(\implies r=\dfrac{a_2}{a_1}=\dfrac{-8}{2}=-4\)
To find the sum of the first 7 terms, substitute the found values of a and r into the formula, along with n = 7:
\(\implies S_7=\dfrac{2(1-(-4)^7)}{1-(-4)}\)
\(\implies S_7=\dfrac{2(1-(-16384))}{5}\)
\(\implies S_7=\dfrac{2(16385)}{5}\)
\(\implies S_7=\dfrac{32770}{5}\)
\(\implies S_7=6554\)
Solve for h: h + 4.18 = 19.74
Three numbers sum to 117. The second number is 10 less than the first. The third number is 2 more than half the first. What are the three numbers?
Answer:
Step-by-step explanation:
The three numbers are 50, 40, and 27.
We can solve this equation by setting up a system of equations.
Let x be the first number, y be the second number, and z be the third number.
x + y + z = 117
y = x - 10
z = (1/2)x + 2
Substituting the equation for y into the first equation, we get:
x + (x - 10) + (1/2)x + 2 = 117
2x - 8 = 117
2x = 125
x = 62.5
Substituting this value of x into the other equations, we get:
y = x - 10 = 62.5 - 10 = 52
z = (1/2)x + 2 = (1/2)62.5 + 2 = 32.5 + 2 = 34.5
Rounding these values, the three numbers are 50, 40, and 27.
What is the area of this figure?
Enter your answer in the box.
M2
Answer:
532 Meters Squared
Step-by-step explanation:
18x18=324 (8x16)/2=64 (18x16)/2=144 324+64+144=532
Which of the following terms is described as “the ratio of two polynomial
expressions”?
a. Linear Algebraic Expression c. Rational Algebraic Expression
b. Linear Algebraic Equation d. Rational Algebraic Equation
Answer:
rational algebraic expression
Answer:
C
Step-by-step explanation:
Which of the following is a true statement of the figure?
An image of a triangle ABC. The angle bisector of angle B is ray BD. Point D lies on side AC.
Question 1 options:
A
D
D
C
=
D
C
C
B
A
C
A
B
=
D
B
D
C
A
D
D
C
=
A
B
C
B
B
C
B
A
=
D
C
C
B
Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.
What is an angle bisector?An angle bisector is the line segment that bisects the angle into two equal halves.
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
Ray BE is a bisector of angle CBA,
∠CBE = ∠EBA = 60°
∠EBD = ∠EBA - ∠DBA
∠EBD = 60 - 30 = 30
So,
∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]
Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Which of the following statements is true if ray BE is a bisector of angle CBA?
A. Ray BD is a bisector of angle CBA.
B. ∠EBD is congruent to ∠CBE.
C. Ray BE is a bisector of angle ABE.
D. ∠EBD is congruent to ∠DBA.
find the missing side of the triangle
Answer:
x = 34
Step-by-step explanation:
Pytago:
x\(30^{2} + 16^{2} = x^2\\x = \sqrt{30^2 + 16^2} \\x = 34\)
what is the answer to 5(m+9)+4+8m
three lakes lost water during a drought. Lake Jensen lost 1/6 of its water, Lake parlow lost 26% of its water, and lake stockton lost 33/200. which lake lost the least amount of water whats the answer?
Answer:
lake stockton
Step-by-step explanation:
26% is equal to 26/100
you have to figure out a common denominator for all three numbers. the easiest for me was 600
to get from 1/6 to x/600 you multiply by 6 so you do the same to the top. equaling 100/600
for 26/100 you times top and bottom by 6 equaling 156/600
for 33/200 you multiply by 3 on both equaling 99/600
now you can clearly see that 99/600 is the least amount
what is the volume of a cylinder with diameter of the base 4 inches and the height of the cylinder 6 inches ?
Answer:
24π
Step-by-step explanation:
If the diameter is 4, the radius is 2
V = \(\pi r^2 *h\)
r = 2
h = 6
24π
Answer:
24 brainliest appreciatEdStep-by-step explanation:
diameter: 4 inch (Radius is 2)
V
If the diameter is 4, the radius is 2
V is r^2*h
the radius is 6
so it’s 24
Which of the following is most likely the next step in the series?
)DO
O A.
• B.
•
Following the pattern, the most likely next step in the series is given by the pentagon in option B.
What is the most step for the series?We have to look at the number of points in each figure, hence:
The first figure, with the line segment, has two points.The second figure, with the triangle, has three points.The fourth figure, with the rectangle has four points.Hence, the number of points increases by one for each figure, meaning that in the next step, the figure should have 5 points, representing a pentagon.
Among the options given for the answer, only one, option B, has 5 points, with the pentagon, as:
Option A has one point.Option C has four points.Option D has three points.Hence, the most likely next step in the series is given by the pentagon in option B.
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Identify the terms of the polynomial.
1
3
-4b+-bº-b+10
6
The terms of the polynomial are | A
(Use a comma to separate answers as needed.)
Look at picture for question
Terms
A term can be defined as a number or a product of a number and variables raise to a power.
The expression given is,
\(-4b^3+\frac{1}{6}b^2-b+10\)Let us start from the three degree polynomial
- 4b³ is a term, which is the combination of coefficient (-4) and a variable raise to power of three.
Secondly, on the two degree polynomial
+1/6b² is a term, which is the combination of coefficient (+1/6) and a variable raise to power of two.
Thirdly,
-b is a term, which is the combination of coefficient (-1) and a variable raise to power of one.
Lastly,
10 is a term, thr reason is because 10 is a constant.
Hence, the terms are
\(-4b^3,+\frac{1}{6}b^2,-b,+10\)The polynomial consists of 4 terms.
Your friend says that 14.5% is same as the fraction 29/200. explain whether your friend is correct or incorrect by comparing the two values
14.5% = 0.145
Step-by-step explanation:
The term 'percent' (%) actually means per 100. So when you say 14.5% it means 14.5 per 100. So when you put that into an equation it actually means:
So when you solve it, 14.5% is actually 0.145 and not 14.5.
Your friend is then incorrect because:
14.5% ≠ 14.5
Answer:
Your friend would be correct. 14.5% divided by 100 is equal to 0.145. When you divide 29/200 you also get 0.145, if you multiply it by 100 you get 14.5%.
Your parents have a credit card with a balance of $3,287.90 at an interest rate of 14.5% APR. They pay $1,200.00 each month on the due date until the card is paid off. How many months does it take to pay off the card, and what is the total amount paid including interest?
Be sure to include in your response:
• the answer to the original question
• the mathematical steps for solving the problem demonstrating mathematical reasoning
Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.
To find out how many months it takes to pay off the credit card and the total amount paid including interest, we can use the following steps:
Step 1: Calculate the monthly interest rate
Divide the annual percentage rate (APR) by 12 to get the monthly interest rate.
Monthly interest rate = 14.5% / 12 = 0.145 / 12 = 0.01208 (rounded to 5 decimal places)
Step 2: Set up the equation for the number of months
Let's denote the number of months it takes to pay off the card as 'n'. The monthly payment is $1,200.00, and the initial balance is $3,287.90. The monthly interest rate is 0.01208. The equation for the number of months can be written as:
(1) $3,287.90 ×\((1 + 0.01208)^n\) - $1,200.00 ×\([(1 + 0.01208)^n\) - 1] = 0
Step 3: Solve the equation
To find the value of 'n', we need to solve equation (1). However, solving it algebraically can be complex. Instead, we can use numerical methods like trial and error, or we can use a spreadsheet or a calculator to find the solution.
Using a spreadsheet or a calculator, we can input the values and increment 'n' until we find the point where the equation equals zero.
After performing the calculations, it is determined that it takes approximately 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.
Therefore, the answer to the original question is that it takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.
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Suppose your Unit Quiz grades have been: 85%, 80%, 96%, 72%, 78%, 85% and 92%
a) What is your average/mean score?
b) What is the median score?
c) What is the mode score?
d) Why is the mean lower than the median?
e) What will your mean be if you get a perfect score of 100% on your next quiz?
Answer:
mean: 84
median: 85
mode: 85
explainations for d and e below.
Step-by-step explanation:
mean:
(85+80+96+72+78+85+92)/7 = 544/7 = 84
median:
sort them in order from least to greatest first
72, 78, 80, 85, 85, 92, 96
find the middle number in that order, that's your median. in this case, it's 85.
mode:
number that appears the most in the order; the frequency. in this case as well, it's also 85.
answer for d:
the reason why the mean is lower than the median is because of the fact we were figuring out the average and had to divide, unlike the median where it's just the middle of the order we have.
answer for e:
(85+80+96+72+78+85+92+100)/8 = 644/8 = 80.5%
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a scientist recorded the temperature of the first day of spring for 24 hours starting from Midnight their hours the scientist recorded a low of 44°f and a high of 67°f.
Answer:
so what is the question?
the price of fruit acid 1.65 for 11 ounces. Fruit B costs 2 cents more per ounce. What is the cost of 16 ounces of fruit B?
Answer: 2.72 i guess
What would the answer be?
The length of the arc CD is 14.13 centimeters.
How to find the length of CD?Remember that for an arc defined by an angle a in a circle of radius R, the length of the arc is given by:
L = (a/360°)*2*pi*R
Where pi = 3.14
Here the angle is a = 45°
And R = 18cm, so we can replace that in the formula above to find the length.
L = (45°/360°)*2*3.14*18cm = 14.13cm
That is the length of the arc CD.
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You are shown TUV below whose measure is 76°. Draw an angle bisector of
LTUV by clicking a dragging a ray out from the vertex at U.
Click and drag to draw a ray from the yellow dot.
To redraw, click and drag from the yellow dot again.
m/TUV = 76⁰
The bisector of the angle TUV is attached below.
What is an angle?
In Euclidean geometry, an angle is the shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
The steps to draw a bisector of an angle:
1) Cross both rays with an arc. Place the compass point at the vertex of the angle after opening it to any width. Swing the compass so the pencil creates an arc that spans the angle's two rays.
2) Make a vertical arc inside. Place the compass such that the point is at the spot where the first ray and the first arc connect. Swing the compass to create an arc that fits inside the angle.
3) To intersect the first interior arc, draw a second interior arc. Move the point to the spot where the first arc crosses the second ray without altering the compass's breadth. Draw an internal arc by swinging the compass and intersecting it with the initial interior arc you drew.
4) From the vertex to the spot where the arcs meet, draw a line. To make sure the line is exact, use a straightedge. This line cuts the angle in half.
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comparing box plots
i will give brainliest
Answer:
what graded are you in
Step-by-step explanation:
There are 12 girls and 10 boys in Mrs. Jones’ Kindergarten class. How many ways can she choose a line leader and a caboose each day?
a motorcycle stunt person traveling 70 mi/hr jumps off a ramp at an angle of 35 degrees to the horizontal.
The value of velocities Vx and Vy is 57.3 mi/hr and 40.1 mi/hr respectively. We can calculate these using trigonometric formulas.
Here, we are given that a motorcycle stunt person is traveling at a speed of 70 mi/hr
⇒ Vi = 70 mi/hr
We need to find the values of Vx and Vy.
We know that-
cos ∅ = Vx/ Vi and sin ∅ = Vy/ Vi
Here, we are given that ∅ = 35°
substituting the known values in the formula we get-
cos 35 = Vx/ 70
Vx = 70 cos 35
Vx = 70 × 0.82
Vx = 57.3 mi/hr
Similarly,
sin 35 = Vy/ 70
Vy = 70 sin 35
Vy = 70 × 0.57
Vy = 40.1 mi/hr
Thus, the value of velocities Vx and Vy is 57.3 mi/hr and 40.1 mi/hr respectively.
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Express 0.02 as a percent.
Answer:
2 Percent or %
Step-by-step explanation:
The decimal 0.02 would be equivalent to 2 percent, or 2 per hundred.
Answer:
0.02 is 2 percent as a percent
The corporate board of directors is hiring a consultant to do a deep analysis of one randomly selected XYZ manufacturing site. Given that 7 of the 14 XYZ sites have had 95% or higher widget production success rate in the last month, what is the probability that a successful site will be selected
Answer:
Hence, the probability of a successful site is :
\(P(\text{succes sites})=\frac{8}{9}=89\%\)
Step-by-step explanation:
Given :
\(7\) of the \(14,XYZ\) sites have had \(95\%\) or higher widget production success rate in the last month
To find :
The probability that a successful site will be selected.
We can select either of \(8\) sites out of \(9\).
These \(8\) sites can be selected in \(8\) ways.
Total sites\(=9\)
Therefore, the probability of a successful site is :
\(P(\text{succes sites})=\frac{8}{9}=89\%\)
Please help, I’ll mark your answer as brainliest.
Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
What is a sound wave?When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.
When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.
Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.
Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
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Use the table to write a linear function that relates y to x
Answer:
From the table, we can see that the y value is always -7, regardless of the x value. This means that the y-intercept of the function is -7.
Step-by-step explanation:
From the table, we can see that the y value is always -7, regardless of the x value. This means that the y-intercept of the function is -7.
Therefore, the linear function that relates y to x, using this table, is:
y = -7
It's a constant function, no matter what the x value is, the y value is always -7.