Answer:
2 that's what soup calculated says
Help on this please.
Answer: 33.88 meters
Step-by-step explanation:
Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps below. Find the step where Harry went wrong. (1 point)
➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0
To solve -➙ the given quadratic equation.
Concept applied -➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.
What is quadratic equation?
➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.
Now, what is quadratic formula?
➙The roots of a quadratic equation ax + bx + c = 0 are given by [tex]\sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}}[/tex] provided b - 4ac ≥ 0.
Solution -here as per the given quadratic equation,
a = 2, b = -1 and c = -6
putting in the formula,
[tex]\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}[/tex]
[tex]\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}[/tex]
[tex]\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}[/tex]
[tex]\implies\sf{x=\frac{1 \pm\: 7}{4}}[/tex]
Solving one by one,
[tex]\implies\sf{x=\frac{1 + \: 7}{4}}[/tex]
[tex]\implies\sf{x=\frac{8}{4}}[/tex]
[tex]\implies{\boxed{\bf{x=2}}}[/tex]
________________
[tex]\implies\sf{x=\frac{1 - \: 7}{4}}[/tex]
[tex]\implies\sf{x=\frac{-6}{4}}[/tex]
[tex]\implies{\boxed{\bf{x=\frac{-3}{2}}}}[/tex]
________________________________
Note - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.
________________________________
Hope it helps!! (:
The ratio of passenger cars to cargo cars in
the rail yard is 7:35. If there are 105 cargo
cars, how many cars are there altogether?
Answer:
126
Step-by-step explanation:
the number of cargo cars is represented by the 35 part of the ratio , then
105 ÷ 35 = 3 ← value of 1 part of the ratio , then
passenger cars = 7 × 3 = 21
total cars = 105 + 21 = 126
HELP!!!! I can’t figure this out
Answer:
[tex]A.\,\orange{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]
Step-by-step explanation:
[tex] \frac{x + 2}{ {x}^{2} + 5x + 6 } \div \frac{3x + 1}{ {x}^{2} - 9} \\ \\ = \frac{x + 2}{ {x}^{2} + 3x + 2x+ 6 } \div \frac{3x + 1}{ {x}^{2} - {(3)}^{2} } \\ \\ = \frac{\cancel{x + 2}}{ \cancel{{({x}+ 3)}} \cancel{(x+ 2) }} \times \frac{\cancel{( {x} + 3)}( {x} - {3)}}{3x + 1} \\ \\ = \purple{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]
The sum of three consecutive, positive, even integers is 18
more than twice the smallest. The integers are_____.
Answer:
5, 6, 7
Step-by-step explanation:
5 + 6 + 7 = 18
Answer:
15,16,17
Step-by-step explanation:
The question states, The sum of three consecutive, positive, even integers is 18 more than twice the smallest.
Let a,b,c be positive integers
Let a be the smallest integer.
Because the answer says the sum of the integers has to be 18 more than 2 x the smallest integer. It means the situation can be represented as:
a + b + c = 2a + 18
Because these numbers are consecutive, meaning they are right besides each other. Every variable can be written in terms of a.
a = a
b = a + 1
c = a + 2
Now we can solve for a:
a + (a+1) + (a+2) = 2a + 18
a + a + 1 + a + 2 = 2a + 18
3a + 3 = 2a + 18
a + 3 = 18
a = 15
then we can fill in the rest.
b = (15) + 1 = 16
c = (15) + 2 = 17
Now we verify.
15 + 16 + 17 = 2(15) + 18 ?
15 + 16 + 17 = 48
2(15) + 18 = 48
We now have the solution. The consecutive numbers, are, and can only be
15,16,17
The round temperature dial on a thermostat has a radius of 3 centimeters. What is the dial's diameter?
Answer:
6 cm
Step-by-step explanation:
A diameter of a circle is a line segment that connects one side of the circle to the other, passing through the center.
The distance from the center to any point on the circle is the radius. So, a diameter is the sum of a radius to one side of the circle and a radius to the other side of the circle. (The circle center is the midpoint of the diamter.)
The diameter is twice the radius:
d = 2 × (3 cm) = 6 cm
The dial's diameter is 6 cm.
The base of a triangle is 75 cm and its height is 12
12 cm. Find its area.
Answer:
Here is your answer
Step-by-step explanation:
Solution,
here,
Base is 75 cm
Height is 12 cm
Now,
Area of triangle=1/2×b×h
=1/2×75×12
= 900/2
=450. ans
у
6
2 Look at the coordinate plane at the right.
Choose True or False for each statement about the points in the
coordinate plane.
5
4
L
a.
3
Point J and point Khave the same
y-coordinate.
True
False
2.
1
K
b. Point K and point L have the same
x-coordinate.
True
False
O
► X
6
1
2
3
4
5
c. Point J and point L are the same
distance up from the origin.
True
False
True
False
d. The y-coordinate of point L is 5.
e.
Point is the nearest point to the
right of the origin.
True
False
Answer:
A. False
B. True
C. False
D. True
E. False
Justin buys candy that costs $6 per pound. he will buy at most 9 pounds of candy. what are the possible amounts he will spend on candy? use for the amount (in dollars) justin will spend on candy. write your answer as an inequality solved for c.
Using proportions, it is found that the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].
What is a proportion?A proportion is a fraction of a total amount.
In this problem, each pound of candy costs $6, and he will buy at most 9 pounds, hence the maximum amount he will spend is given by:
M = $6 x 9 = $54.
Hence, the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].
More can be learned about proportions at https://brainly.com/profile/joaobezerra-15918078
The tree diagram below shows all of the possible outcomes for flipping three coins.
A tree diagram has outcomes (H, H, H), (H, H, T), (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T).
What is the probability that at least two of the coins will be tails?
Answer:
1/2
Step-by-step explanation:
Let H = the possible outcomes that include flipping heads
Let T = the possible outcomes that include flipping tails
In order to have an outcome of two coins having tails, that means for each outcome, you must have at least two T's.
Therefore, the possible outcomes are:
(H, T, T)
(T, H, T)
(T, T, H)
(T, T, T)
This is 4 possible outcomes, and since we want to find the probability we find the total number of outcomes and make a fraction.
[tex]4/8 = 1/2[/tex]
There are 8 outcomes, and since 4 work for this scenario, the answer is 1/2.
#LearnWithBrainly
Trigonometry, how would I find the area of this parallelogram?
Answer:
A ≈ 160 cm²
Step-by-step explanation:
the area (A) of a parallelogram given adjacent sides a and b and angle Θ between them is
A = absinΘ
here a = 12 , b = 15 and Θ = 117° , then
A = 12 × 15 × sin117° ≈ 160 cm²( to the nearest cm² )
in∆BDC
use sine rule for area
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}absinC[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(12)(15)sin117[/tex]
[tex]\\ \rm\rightarrowtail 90(0.89)[/tex]
[tex]\\ \rm\rightarrowtail 80.1m^2[/tex]
Area of parallelogram=2(80.1)=160.2m^2The interior angle of a regular polygon is 154°, What is
the size of an exterior angle?
Answer: 26 degrees
Step-by-step explanation:
An interior angle and its exterior angle are supplementary.
Find the volume of the given figure. Round your answer to the nearest tenth. See picture for full problem. Please and thank you so much!(:
Answer:
146.7
Step-by-step explanation:
The equation for finding the volume of a pyramid is [tex]V = \frac{l w h}{3}[/tex].
For this pyramid, the height is 8, the width is 5, and the length is 11.
[tex]\frac{11x5x8}{3}[/tex]=146.67
146.67 rounded to the nearest tenth = 146.7.
Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle could represent the base of the vase? Use 3. 14 for Pi.
The area of the vase lies between the area [tex]135\ cm^2[/tex] and [tex]155\ cm^2[/tex] will be [tex]153.86\ cm^2[/tex].
What will be the area?As we know that the area of the circle is given by the formula
[tex]A=\pi r^2[/tex]
So now from the question, we will find the radius for both the given areas.
Radius for the first area
[tex]r=\dfrac{A}{\pi} =\dfrac{135}{\pi} =6.56\ cm[/tex]
Radius for the second area
[tex]r=\dfrac{A}{\pi} =\dfrac{155}{\pi} =7.03\ cm[/tex]
Now we can see the range of the radius lies
[tex]6.56\leq r\leq 7.03[/tex]
The radius must be r=7 cm lie between two quantities.
Then the area at r= 7cm will be
[tex]A=\pi r^2[/tex]
[tex]A=\pi\times 7^2=153.86\ cm^2[/tex]
Thus the area for the vase will be [tex]A=153.86\ cm^2[/tex] ar radius r= 7 cm
To know more about the Area of the circle follow
https://brainly.com/question/24375372
solve for x and please roundddd
The volume of a sphere is 75716 cm3.
Work out the radius of the sphere.
Answer:
Step-by-step explanation:
Givens
V = 75716
pi = 3.14
r = ?
Formula
V = (4/3) pi * r^3
Solution
75716 = (4/3) * 3.14 * r^3 Multiply both sides by 3/4
75716 * 3/4 = 3.14 * r^3
56787 = 3.14 r^3 Divide by 3.14
56787 / 3.14 = 3.14 * r^3/3.14
18085 = r^3
∛18985 = ∛ r^3
r = 26.25
A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. The authors of the study wanted to know if the two groups of teachers had different levels of job satisfaction. They will use a significance level of 5% for their test. Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 What is (are) the critical value(s) for z in this study? –1. 65 and 1. 65 –1. 96 and 1. 96 1. 65 1. 96.
The Critical z-values are -1.96 and 1.96 option second is correct.
It is given that the teachers were allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes.
It is required to find the critical z-values.
What is the critical value of Z?It is defined as the area region enclosed by the standard normal curve or bell curve. It gives an idea about every variable, and what value of probability the variables acquire.
We are assuming the data given below:
x = 3.5
[tex]\mu =3.3[/tex]
[tex]\sigma = 0.6[/tex]
n = 40
We know the formula for the Z score:
[tex]\rm Z = \frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]\rm Z = \frac{3.5-3.3}{\frac{0.6}{\sqrt{40} } }[/tex]
Z = 2.10
The area under the normal distribution curve:
P(Z= 2.10) = 0.9821 ( from the z table)
We have null hypothesis H0: in the two groups, the level of job satisfaction is the same ie. with no difference.
H1: There is a significant difference in levels of job satisfaction.
The above hypothesis defined that the test is two-tailed which means there will be two rejection regions.
The critical z-values are:
-1.96 and 1.96 (from the critical value calculator at a 5% significance level with two-tailed)
Thus, the Critical z-values are -1.96 and 1.96 option second is correct.
Learn more about the critical value here:
https://brainly.com/question/13686040
I DONT KNOW WHAT IS 89090x908
Answer:
80 893 720
Step-by-step explanation:
hope dis helps!!!!
Walnuts are priced
according to the chart
below.
POUNDS (LBS)
COST (S)
3
$7.77
5
$ 12.95
8
$20.72
What is price per pound for the
walnuts?
A.
$2.59
B. $3.86
C. $2.17
D. $3.07
Answer:
A. $2.59
Step-by-step explanation:
If you divide the costs by the pounds:
3/7.77 = 2.59
12.95/5 = 2.59
20.72/8 = 2.59
Therefore, the answers is $2.59
Hope this helps :)
What is the perimeter of this garden?
A:94 ft
B 100ft
C 76ft
D 600ft
Answer:
A
Step-by-step explanation:
Hope this helped
Please just help. I’m stuck on math! Determining spinner probability Lol BUT please help! If you know how to do this
1. 2
2. 2
3. 4
4. 3 and 1
5. C
6. B
7. C and D
8. 3
9. 1 and 4
10. C
11. 2
12. D
You're Welcome✌! Brainliest would mean a lot.
Jayce and Lara each made q bowl of punch. Lara used 6 times as much as much lemonade as Jayce did. if Jayce used 3/4 if a cup of lemonade, how many cups did Lara use?
Answer: 4.5
Step-by-step explanation:
6 x 3/4 = 18/4 divided that and it equals 4.5
5.5x = 11? Please help. :c
Answer:
The value x would equal to 2
11 divided by 5.5 = 2
5.5 x 2 =11
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
A farmer has a total of 23 pigs and chickens. The 23 animals have a total
of 60 legs. How many pigs and how many chickens does the farmer have?
Answer:
7 pigs, 16 chickens
Step-by-step explanation:
p= pigs, c= chickens, legs= 60, number of pigs & chickens= 23
System of Equations:
Equation 1: [tex]p+c=23[/tex] would be [tex]23-p=c[/tex]Equation 2: [tex]4p+2c=60[/tex] for the legsThen, use substitution & solve:
[tex]4p+2(23-p)=54\\4p+46-2p=54\\4p-2p=8\\2p=8\\p=7[/tex]Now, plug [tex]p=7[/tex] back into [tex]23-p=c[/tex] to get c
[tex]23-p=c\\23-7=c\\c=16[/tex]Answer: 7 pigs, 16 chickens or [tex]p=7[/tex] and [tex]c=16[/tex]
To check your work, plug those solutions back into the system.------
(I hope that helps & good luck! <3)
Find the missing side. Round your answer to the nearest tenths.
X=
Answer:
16.5 ≈ x
Step-by-step explanation:
We have a right triangle where we know 1 side, 1 angle and we need to find another side. We can use trigonometric functions to find the missing side.
The tangent function definition is
tan α = opposite side/ adjacent side
In our problem
tan 70° = x/ 6, multiply both sides by 6 to isolate x
6 · tan 70° = x, use the calculator (make sure is set in degrees)
16.4848 ≈ x , round to the nearest tenths
16.5 ≈ x
PLEASE I NEED HELP!!! BRAINLIEST FOR THE FASTEST ANSWER
Answer:
883.125
Step-by-step explanation:
First, use the formula for volume of a sphere (4/3 * pi * r^3) to get the volume of the full sphere, then divide it by 2 to get the volume of half of the sphere.
Hopefully this helps- let me know if you have any questions!
rohana wants to find the volume of a sphere that has a radius of 10 feet. which equation can she use to solve for this value in cubic feet ?
The equation that can be used to determine the volume of the sphere is 4/3π10³
What is the volume of the sphere?A sphere is a three-dimensional object in which points from its center to its circumference is equidistant.
Volume of a sphere = 4/3πr³
Where:
π = pi = 22/7r = radiusTo learn more about the volume of a sphere, please check: https://brainly.com/question/13705125
Factor completely 4xy−24y−x+6
how do i find slope in standard form?
Answer:
The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options. We can put the equation in slope-intercept form and identify the slope that way, or we can use the formula m = -A/B.
Answer:
m = -A/B
The standard form of a linear equation is Ax + By = C.
[tex]hope \: it \: will \: help \: [/tex]
karen and mary are saving money. karen has 150 and disposits an additional $25 a week. mary has $200 and deposits an additional $10 a week. what is the minimum number of weeks it will take for karen to have more saving then mary
Answer:
4 weeks
Step-by-step explanation:
original base amount 150 200
1st week deposit 175 210
2nd week deposit 200 220
3rd week deposit 225 230
4th week deposit 250 240