Answer:
............
Step-by-step explanation:
.............
Which statement about the linear factors and zeros of a quadratic function is always
true?
A. The constants of the linear factors are the opposite of the function's zeros.
B. A function's zeros can be determined by setting each linear factor equal to 0 and
solving.
C. If a function's zero is an integer, then the coefficient of the variable in the linear factor
must be one.
D. Multiplying the constants of the linear factors gives one of the function's zeros, and
adding the constants gives the other zero.
last step
merical simplification until the
1
Exercise 19c
Use the value 27 for n in this exercise.
Calculate the volume of a cylindrical steel
bar which is 8 cm long and 3.5 cm in
diameter.
2 The tank on a petrol lorry is a cylinder 2 m
in diameter and 7 m long.
a
Calculate its volume in m?.
b Find its capacity in kilolitres.
Answer:
77 cm^3
22 m^3
22 kl^3
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
1. Radius = 3.5 / 2 = 1.75
Volume = (22/7) x (8) x 1.75^2 = 77 cm^3
2. radius = 2/2 = 1m
Volume = (22/7) x (7) x 1^2 = 22 cm^3
1 meter = 1 kilolitre
capacity = volume
capacity = 22 kl^3
Write an expression for the following. "The sum of a number and 12 times 4
Answer:
4(x + 12)
Step-by-step explanation:
The sum of a number and 12 indicates addition. Then, it says that this sum will be multiplied by 4. So, we can use x to represent this random number.
write an expression that represents the quotient of a number and 3 multiplied by 4
Answer:
N (3×4) or (N×3) 4
Step-by-step explanation:
Kerry puts pennies into a jar every day. On the first day, she puts 2 pennies into the jar. On the second day, she adds double the number of pennies she put into the jar on the first day. On the third day, she adds double the number of pennies she put into the jar on the second day. This pattern follows for a week.
Answer:
By the end of the week she will have 254 pennies and she will put 128 pennies for the last day
. Suppose that the average score in a statistics test is 84 with a standard deviation
of 4. According to Tchebysheff’s theorem, what percentage of the students have
a grade of at least 72 and at most 96?
Answer:
96
Step-by-step explanation:
y = x2 – 3x + 2
use the discriminant to determine the number of solutions
Answer:
2 real solutions
Step-by-step explanation:
The formula for determining the discriminant is b² - 4ac.
So, let's identify our variables.
a = 1
b = 3
c = 2
Now, we can plug in our values.
3² - 4(1)(2)
9 - 8
1
1 is the discriminant of this function, and since 1 is positive, this indicates that there are two distinct real number solutions.
Find the length of the third side.
I'm not sure if I did this right.
Answer:
2
Step-by-step explanation:
[tex]1^2+x^2=\sqrt{5}^2[/tex]
[tex]x^2+1=5[/tex]
[tex]x=\frac{+}{-} \sqrt{4}[/tex]
2 or -2
add 2 please add
[tex]2 \frac{3}{4} + 5 \frac{4}{5} = [/tex]
Answer:
Step-by-step explanation:
19/4 + 29/5
2.75 + 5.8
= 8.55
If l || m, determine what type of angles they are and find the value of x.
A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?
The actual area of the apartment will be 960 square feet.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
A blueprint shows an apartment with an area of 15 square inches.
If the blueprint's scale is 1 inch : 8 feet.
Then the scale factor will be 8/1 feet per inch.
Then the actual area square footage of the apartment will be
Actual area = 15 x (scale factor)²
Then the actual area of the footage will be
Actual area = 15 x (8/1)²
Actual area = 15 x 64
Actual area = 960 square feet
Thus, the actual area of the apartment will be 960 square feet.
More about the dilation link is given below.
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2.6x + 10.5 = 31.3
I need to find the answer of x whoever gets it correct will get brianliest!
Answer:
2.6x + 10.5 = 31.3
Step-by-step explanation:
Arsenic concentration in public drinking water supplies is potential health risk. An investigator collected data of arsenic concentration in parts per billion (ppb) from 10 metropolitan phoenix communities and 10 rural Arizona. Under = 5%, can the investigator conclude that the metropolitan phoenix water is different from the rural Arizona when it comes to the Arsenic concentration
Answer:
Hello your question has some missing data below is the missing data
answer : The Investigator can conclude that the metropolitan phoenix water is different from the rural Arizona ( to = -2.77 which is < 0.05 )
Step-by-step explanation:
The hypothesis ;
H0 : μ1 = μ2
Ha : μ1 ≠ μ2
significance level ( ∝ ) = 0.05
calculate for degree of freedom ( df ) = 13.2 ( using excel function )
find the test statistic ( to ) = -2.77
attached below is the remaining part of the solution
Find the coefficient of the x^3 in the expansion of (2x-9)^5
Use the binomial theorem:
[tex]\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}[/tex]
The x ³ terms occurs for 5 - k = 3, or k = 2, and its coefficient would be
[tex]\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}[/tex]
3 5/8 - 2 1/8=?
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
ASAP!!!!
Answer:
answer:
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
[tex] \frac{29}{8} - \frac{17}{8} [/tex]
[tex] \frac{29-17}{8} [/tex]
[tex] \frac{12}{8} [/tex]
[tex] \frac{3}{2} [/tex]
[tex] 1\frac{1}{2} [/tex]
is your answer.
She mixes nuts, raisins and oats in the ratio 3:2:5 by weight. Babajan uses 60 grams of nuts. Work out the weight of raisins she uses to make the breakfast cereal
Answer:
weight of raisins : 40
Step-by-step explanation:
nuts : raisins : oats
3:2:5= 60: ? : ?
60÷3 = 20
raisins : 2×20 = 40
A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of the center of Columbia, NC. The quake could be felt from 25 km away. A couple days later, another earthquake occurred 8 km west and 3 km north of the center of Columbia and could be felt from 14 km away. If Columbia is located at (0, 0) on a coordinate grid, the system of inequalities represents this scenario.
StartLayout Enlarged left-brace first row (x minus 20) squared + (y minus 14) squared less-than-or-equal-to 625 second row (x + 8) squared + (y minus 3) squared less-than-or-equal-to 196 EndLayout
Which location relative to Columbia felt both earthquakes?
4 km west and 12 km south
6 km west and 4 km north
2 km east and 10 km north
6 km east and 8 km north
Answer:
2 km east and 10 km north
Step-by-step explanation:
I did the activity and got the right answer.
By evaluating the inequalities, we will see that the correct option is: 2 km east and 10 km north
Which location will feel both earthquakes?
Here we have the inequalities:
(x - 20)^2 + (y - 14)^2 ≤ 625
(x + 8)^2 + (y - 3)^2 ≤ 196
Where, x is the distance due east, and y is the distance due north.
So we just need to find which of the given options makes both inequalities true, for example, for the first one we have:
x = -4
y = -12
Replacing that on the first inequality we get:
(-4 - 20)^2 + (-12 - 14)^2 ≤ 625
1,252 ≤ 625
This is false, so this option is not correct.
Now we just need to check the other options. Particularly for the third we have:
x = 2
y = 10
Replacing that in both inequalities we get:
(2 - 20)^2 + (10 - 14)^2 ≤ 625
340 ≤ 625 (true).
(2 + 8)^2 + (10 - 3)^2 ≤ 196
149 ≤ 196 (true)
So at 2km east and 10km north of Columbia, the two earthquakes can be felt.
If you want to learn more about inequalities, you can read:
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Two planes just took off from Boston, MA. The first plane is traveling 2.5 times as fast as the second plane. After traveling in the same direction for 5 hours, they are 735 miles apart. What is the average speed of each plane? (Hint: Since they are traveling in the same direction, the distance between them will be the difference of their distances.)
Answer:
Plane 1: rate = 245 mph
Plane 2: rate = 98 mph
Step-by-step explanation:
Plane 2: Let r = rate
d = 5r
Plane 1: 2.5r = rate
d = 5(2.5r)
5(2.5r) - 5r = 735
12.5r - 5r = 735
7.5r = 735
r = 98
Please help I’m stuck
Answer:
96
Step-by-step explanation:
Its a pattern :) BTW can you help with mine please
Which linear inequality is represented by the graph?
Oys 2x + 4
Oyszx+ 3
O yz {x + 3
O y 2x + 3
The linear inequality that represents the graph is: [tex]y \le \frac 23x + \frac 15[/tex]
The line of the inequality passes through the points:
(0,0.2) and (3,2.2)
So, the slope of the line is:
[tex]m = \frac{2.2 - 0.2}{3 - 0}[/tex]
[tex]m = \frac{2}{3 }[/tex]
The equation is then calculated as:
[tex]y =mx + c[/tex]
Where c represents the value of y, when x = 0.
So, we have:
[tex]y =\frac 23x + 0.2[/tex]
Rewrite as:
[tex]y =\frac 23x + \frac 15[/tex]
The down region is shaded, and the line is a closed line.
So, the inequality is:
[tex]y \le \frac 23x + \frac 15[/tex]
Read more about inequalities at:
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What is factor for 7x^2-21-280
1. Force is a push or a
upon an object
A heat
C. pull
B. motion
D. transfer
2 Which is needed to make an object move?
A density
C. porous
B. force
D. non-porous
Answer:
1. C
2.B
Step-by-step explanation:
Force is a push or a pull.. can be a twist too
to make an object move you have to apply force by pushing of pulling the object.
The product of 4 and triple the number 2
Answer:
32
Step-by-step explanation:
4 x 2 x 2 x 2 = 32
A coin is flipped 150 times. The results of the experiment are shown in the following table:
Heads Tails
84 66
Which of the following statements best describes the experimental probability of getting heads?
Group of answer choices
It is equal to the theoretical probability.
It is 6% lower than the theoretical probability.
It is 6% higher than the theoretical probability.
The experimental probability cannot be concluded from the data in the table.
Answer:
The answer would be C. It is 6% higher than the theoretical probability.
Answer:
The correct answer is C. It is 6% higher than the theoretical probability.
Step-by-step explanation:
This is correct, I took the test.
A quarter has a diameter of 24 mm.
Which measurement is closest to the
circumference of the quarter in
millimeters?
A. 452.39 mm
B. 37.7 mm
C. 75.4 mm
D. 150.8 mm
Answer:
C or D
Step-by-step explanation:
The box plot below shows the heights, in inches, of the 24 students in Brandon’s
homeroom.
47 5149 55 57 61 53 59 63 65 67 69
Select all the statements that describe the class according to the box plot.
A 50% of the students are less than 62 inches tall.
B The tallest student is 69 inches tall.
C 50% of the students are at least 56 inches tall.
D 25% of the students are less than or equal to 53 inches tall.
E There is a range of 9 inches in the heights of the students.
F 25% of the students are greater than 62 inches tall.
Need help quick with full work
Answer:
1st of column 1
and
3rd of column 2
A middle school has 220 students in each grade 6,7,8.The librarian wants to know which books are the most popular among the students in her school.
Answer:
?
Step-by-step explanation:
the choices, the question?
work out the value of (6-2.5)( 8+4)
Answer:
42
Step-by-step explanation:
Uh, I'm guessing what is being asked here is to solve, so, time to distribute.
(6 - 2.5)(8 + 4)
48 + 24 - 20 - 10
42
Pls help
If a varies jointly as b and c, find a when b = 4 and c = -3.
a = -96 when b = 3 and c = -8
a=
Answer:
a=4bc
a=4(4)(-3)=-48
a= - 48 when b equals to 3 is equals to - 8
The required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.
When a variable varies jointly as two other variables, it means that the relationship between the variables can be expressed using direct variation. In this case, we have that "a varies jointly as b and c."
To find the value of a when b = 4 and c = -3, we can set up the proportion based on the direct variation relationship:
a/bc = k
where k is the constant of variation.
Substituting the given values:
a/(4)(-3) = k
Simplifying, we have:
a/-12 = k
Now, we can find the value of a when b = 4 and c = -3 by substituting these values into the equation and solving for a:
a/(-12) = k
a/(-12) = -96/-12 (since k = -96 when b = 3 and c = -8)
a = 96
Therefore, the required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.
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