Answer: [tex]-7.60,\ -4.47[/tex]
Step-by-step explanation:
Given
[tex]f(x)=-1.3x^2-15.7x-44.2[/tex]
The solution of the standard quadratic equation [tex]ax^2+bx+c=0[/tex] has solution
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Applying the above principle
[tex]\Rightarrow x=\dfrac{15.7\pm\sqrt{(-15.7)^2-4(-1.3)(-44.2)}}{2(-1.3)}\\\\\Rightarrow x=\dfrac{15.7\pm\sqrt{246.49-229.84}}{-2.6}\\\\\Rightarrow x=\dfrac{15.7\pm \sqrt{16.65}}{-2.6}\\\\\Rightarrow x=\dfrac{15.7\pm 4.08}{-2.6}\\\\\Rightarrow x=-7.60,\ -4.47[/tex]
The zeroes of the equation are -7.60, -4.47.
The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet.
Approximately what percentage of the pine trees in this forest are taller than 100 feet?
Answer:
4%
Step-by-step explanation:
We solve this question using z score formula
z = (x-μ)/σ,
where
x is the raw score = 100 feet
μ is the population mean = 86 feet
σ is the population standard deviation = 8 feet
Hence,
x > 100 feet
z = (100 - 86)/8
z = 1.75
Probability value from Z-Table:
P(x<100) = 0.95994
P(x>100) = 1 - P(x<100) = 0.040059
Converting to Percentage
= 0.040059 × 100
= 4.0059%
Approximately = 4%
Therefore, the percentage of the pine trees in this forest are taller than 100 feet is 4%
Can this be done within the hour plz. Ty.
Solve the inequality.
y + 11 <-3
The inequality is____
Pls help:/
Answer:
-14
Step-by-step explanation:
step 1:
Subtract 11 from both sides.
y+11−11<−3−11
y<−14
Answer:
y is less than -14
Step-by-step explanation:
You move all the terms to the side not containing the y. So it would be -3-11 on one side and y on the other. The sign does not change so the inequality would be y is less than -14.
GIVING BRAINLIEST, EASY 7TH GRADE MATH PROBLEM.
Answer:
it would be 13.25 or A.
Step-by-step explanation:
:)
AreA of a circle pls help
Answer:
28.26[tex]in^{2}[/tex]
Step-by-step explanation:
Given,
Radius of the circle = 3in.
Area = ?
They have told us to use 3.14 for [tex]\pi[/tex]
Area formula = [tex]\pi r^{2}[/tex]
=> 3.14 * 3 * 3
=> 3.14 * 9
=> 28.26[tex]in^{2}[/tex]
Therefore the area of the circle is 28.26[tex]in^{2}[/tex]
Hope it helps :)
Answer:
28.26
Step-by-step explanation:
You want to plug everything in to the equation that you can. It says that pi=3.14, and the radius (aka r) is equal to 3. Therefore when plugging everything in, the equation reads (3.14)(3)^. ^ means squared, its the tiny 2 above the r. when something is squared it means you multiply it by itself 2 times. therefore 3 squared = 3 x 3= 9. After finding out 3^=9, the equation reads (3.14)(9). Now all you have to do is multiply the 2 together which results in 28.26.
What is the volume of this cube?
Show your work.
no bots
Answer: 125,000
Step-by-step explanation:
Voulme= LxWxH
= 50x 50x50
=125,000
13.
Find the volume of the trapezoidal prism below. Hint: The formula for the area of a
trapezoid is A 2 (b, I b)h.
6 cm
5 cm
12 cm
7.5 cm
А
450 cm
B
900 cm
С
270 cm
Answer:
A is the correct answer 450 cm
Step-by-step explanation:
area of base = 1/2 (7.5+ 5) × 6 = 37.5
volume = area × height
= 37.5 × 12
= 450cm³
(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !
Answer:
the answer is 101/9, in fraction it would be 11.2222..... in whole number would be 11, as mixed number would be 11 2/9
1. A rubber ball consists of a sphere with 150 small cones protruding from the surface. The volume of the sphere is 50 cubic centimeters. Each cone has a radius of 0.2 centimeters and a height of 0.4 centimeters. What is the total volume of the ball? Round to the nearest hundredth.
A. 60.05 cm3
B. 2.51 cm3
C. 52.51 cm3
D. 50.02 cm3
2. A baker fills a piping bag with frosting to decorate a cake. The bag has the shape of a cone, and the frosting fills the bag to a height of 12 inches and diameter of 5 inches. Approximately what volume of frosting in cubic inches does the piping bag contain? Round to the nearest tenth.
A. 117.8 in3
B. 314.2 in3
C. 78.5 in3
D. 235.6 in3
3. A ski resort creates a three-dimensional model of its logo consisting of two cones. One of the cones has a radius of 6 feet and a height of 12 feet, and the other has a radius of 5 feet and is 23 the height of the first. What is the volume of the model? Round to the nearest hundredth.
A. 661.83 ft3
B. 496.37 ft3
C. 766.55 ft3
D. 1,985.49 ft3
Answer:
1. C. 52.51 cm3
2. C. 78.5 in3
3. A. 661.83 ft3
Step-by-step explanation:
just finished the quick check
omg bet you don't know this
Answer:
2 and 5
Step-by-step explanation:
ez
50 POINTS HELP PLEASE MATH BE RIGHT
A box without a top is to be made to hold copious bags of candy. It is made
from a rectangular piece of cardboard, with dimensions: width choose a number
between 1.5 ft and 3.5 ft _______ and length choose a number between 4 ft and 6ft
_______, by cutting out square corners with side length
x
and folding up the sides.Unit 7 Test, Part 2:
Modeling with Geometry
Total score: 15 points
Answer the following questions, showing all of your work. Submit your work to the
assignment box.
NOTICE how the points are broken down above each problem.
This lets you know what information is mandatory to give me in your answer.
(5 total points - 1 point correct equation for volume, 1 point correct value for x; 1
point explanation for finding x; 2 points explanation of what x- and y- coordinates
represent)
1)
A box without a top is to be made to hold copious bags of candy. It is made
from a rectangular piece of cardboard, with dimensions: width choose a number
between 1.5 ft and 3.5 ft _______ and length choose a number between 4 ft and 6ft
_______, by cutting out square corners with side length
x
and folding up the sides.
(a)
Write an equation for the volume
V
of the box in terms of
x
.
(b)
Use Desmos to graph and estimate the value of
x
,
to the nearest tenth
, that
gives the greatest volume. Explain your process. Post a snapshot of your graph
with your work.
(c)
Explain what the x- and y-coordinates represent in your eqution
Let the length of the side of the square being cut out equal x
The length of the box would be 4.5 - 2x
The width of the box would be 3 -2x
Volume = (4.5 -2x) * (3-2x) * x
Simplify to:
V = 4x^3 - 15x^2 + 13.5x
B See picture: The greatest volume would be the point of the highest curve.
x = 0.589 y = 3.565, Rounded to the nearest tenth x = 0.6
Process: entered the equation from A into Desmos. The Y value would be the volume, so found where the volume was the highest and then found the related x value.
C) X is the side length of the corner squares being cut out, which would also be the height of the box. The Y value is the volume of the box.
An outdoor summer camp offers its campers 14 activities. Campers make a schedule for their morning, afternoon, and evening sessions. How many different schedules are possible?
An outdoor summer camp offers its campers 14 activities. Campers make a 3 schedule. So, 4.6 different schedules are possible.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
An outdoor summer camp offers its campers 14 activities. Campers make a schedule for their morning, afternoon, and evening sessions.
The total number of activities = 14
The total number of schedules = 3
So, The possible different schedules will be
14 divided by 3 = 14/ 3
= 4.6
Learn more about the unitary method;
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PLEASE HELP ME, ILL GIVE BRAINLIEST AND 70 POINTS
Answer:
√65 feet
Step-by-step explanation:
Using the pathagoryoes theroem (the equation in your picture) we have
4²+7²=c²
simplify to
16+49=c²
65=c²
√65=c
PLEASE ANSWER, RIGHT ANSWER WILL BE MARKED BRAINLIEST
NO ANSWERING NONCENSE JUST FOR POINTS I WILL REPORT
twenty-five seventh grade students each conducted a survey an a random sample of 20 students from the school and asked each student if they own a pet or not. then, the students calculated the percentage of students who own a pet from each sample. The dot plot below shows the distribution of the percentages of the samples.
Answer:
Between 20% and 80%,,,
Step-by-step explanation:
There is no way to really explain it.
Which expression is equivalent to (9 + 3i) - (-4 + i)?
A. 5 + 2i
B. 5 + 4i
C. 13 + 2i
D. 13 + 4i
Answer:
c.
Step-by-step explanation:
from the expression (9 + 3i) - (-4 + i);
STEP 1: multiply (-4 + i) by the minus sign before it.
we have +4 - i as the result.
we are left now with:
9+3i+4-i.
STEP 2: grouping those with same values,
9+4+3i-i= 13+2i
Kirk went to a friend's house after dinner. He left his house at the time shown on the clock and returned home at 8:05 P.M. Part A How long was Kirk gone? ____ minutes Part B Explain how you found your answer.
Answer:
He was gone for 36 minutes
Step-by-step explanation:
Sorry if wrong
I really need help on this one, thank you
Answer:
35
Step-by-step explanation:
find area of each rectangle then add
Find x. Simplify completely. X Х 16 4. x = [?]
Answer:
4
Step-by-step explanation:
eeeeeeee
IF YOU ANSWER RIGHT ILL GIVE YOU BRAINLTIST
Answer:
B: 12/25
Step-by-step explanation:
You have the correct answer marked. This is correct because the probability of grabbing a purple marble is 24/50 which if we divide by 2 to simplify is 12/25.
2. The sum of the measures of two angles is 180°. The difference between the
angle measures is 70°. What is the measure of the smaller angle? *
PLEASE HELP
∆ARE ≌ ∆_ by _
Answer:
We have:
AE ≅ ACRE ≅ RCAR ≅ ARThe conclusion is:
ΔARE ≅ ARC by Side-side-side (SSS) postulateWhich statement is true about the factorization of 30x2 + 40xy + 51y2?
O The polynomial can be rewritten after factoring as 10(3x2 + 4xy + 5y2).
O The polynomial can be rewritten as the product of a trinomial and xy.
The greatest common factor of the polynomial is 51x?y2.
The greatest common factor of the terms is 1.
Answer:
The Answer Is That "The Greatest Common Factor Of The Terms Is 1."
Step-by-step explanation:
Took The Test.
The polynomial is factorized and greatest common factor of the terms is 1
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the polynomial be represented as A
Now , the value of A is
A = 30x² + 40xy + 51y² be equation (1)
Now , the expression can be factorized as
The factors of 30 = 1 , 2 , 3 , 5 , 6 , 15 and 30
The factors of 40 = 1 , 2 , 4 , 5 , 8 , 10 , 20 and 40
The factors of 51 = 1 , 17 , 51
Therefore , the greatest common factor is 1
Hence , the factorized form of the equation is A = 30x² + 40xy + 51y²
To learn more about factorization click :
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Which net represents this rectangular prism?
Answer:
The top right net would
Hope this helps!
A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
The net in option A represents the rectangular prism.
Option A is the correct answer.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The rectangular prism has 6 faces.
The net in option A represents the rectangular prism.
Thus,
The net in option A represents the rectangular prism.
Option A is the correct answer.
Learn more about prism here:
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Urgent!!
According to the graph, what is the factorization of x2 - 5x + 6?
y=x2.5x+6
A. (x - 3)(x + 2)
B. (x+3)(x - 2)
C. (x - 3)(x - 2)
D. (x+3)(x + 2)
Answer:
If you still need the answer it’s c
Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,
The factorization is the form
(x-a) (x-b) where a and b are the zeros
(x-3) (x-2)
What is the area of the rhombus?
(3,7)
(-2,-1)
(8, -1)
(3,-9)
Step-by-step explanation:
gxh hug and yu I will be blast and IThe amount of time a certain brand of light bulb lasts is normally distributed with a
mean of 1600 hours and a standard deviation of 70 hours. Using the empirical rule,
determine what interval of hours represents the lifespan of the middle 99.7% of light
bulbs.
help fast please!!
Using the Empirical Rule, it is found that the interval of hours that represents the lifespan of the middle 99.7% of light bulbs is (1390, 1810).
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.The middle 99.7% is within 3 standard deviations of the mean, hence:
1600 - 3 x 70 = 1390.1600 + 3 x 70 = 1810.More can be learned about the Empirical Rule at https://brainly.com/question/24537145
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Angle ABC and angle CBD or a complementary what is the value of X
Answer:
26degrees
Step-by-step explanation:
Find the diagram attached
From the diagram, Angle ABC and angle CBD are complementary hence;
<ABC + <CBD = 90
Given
<ABC = 2x
<CBD = 38
Substitute
2x + 38 = 90
2x = 90 - 38
2x = 52
x = 52/2
x = 26degrees
Hence the value of x is 26degrees
Can someone answer this?
Answer:
3 is the answer
Step-by-step explanation:
because x is also equals to -4. if u can see there is big circle that is blue, if that circle was empty that means does not equal, and the xs are bigger than -4 therfore the answer is option 3.
Answer:
Greater than or equal to -4
Step-by-step explanation:
Hope this helps
I’m not 100% sure on this
Answer:
it's D I think
Step-by-step explanation:
..........
Answer:
D
Step-by-step explanation:
A line segment is a straight line that ends , the arrows mean the the ray or line dont end
Can I get sum more help?
Answer:
184.96
Step-by-step explanation:
V = (base × height) ÷ 3
base = pi × radius^2
2 × pi × radius = circumference
2×pi×r = 29.516
÷2 ÷2
pi×r = 14.758
÷3.14 ÷3.14
r=4.7
base= 3.14 × 4.7^2
= 69.36
V = (69.36 × 8) ÷ 3 = 184.96