Answer:
Step-by-step explanation:
x
2
−2x−8=0
x
2
−4x+2x−8=0
x(x−4)+2(x−4)=0
(x+2)(x−4)=0
⟹x=−2,4
Kira wants to cover hr rectangular patio in cement. The patio measures 4yd long and 3yd wide.
Answer:
The answer is 12 yds.
Step-by-step explanation:
The formula for calculating area is L x W = Area, so we multiply 4 by 3, which gives us 12.
Hope this helped!
The greatest comen factor of 21, 30,49
ASAP!! PLEASE I NEED HELP!!
A farmer needs to fence a rectangular plot of land with the area of 3000 square yards. He considers several possible length of the plot: 50 yards, 40 yards, 48 yards, and 36 yards. What will be the width of the plot in each case? Do the length and the width of the rectangular plot vary directly or inversely when the same area is needed? Explain why.
Answer:
If the length is 50 yd, the width is
yd.
If the length is 40 yd, the width is
yd.
If the length is 48 yd, the width is
yd.
If the length is 36 yd, the width is
yd.
The length and the width vary .
Answer:
If the length is 50 yd, the width is 60 yd.
If the length is 40 yd, the width is 75 yd.
If the length is 48 yd, the width is 62.5 yd.
If the length is 36 yd, the width is 83.33 yd.
The length and the width vary inversely because when the length decreased the width increased
Step-by-step explanation:
The area of any rectangle A = L × W, where
L is its lengthW is its widthThe relation is direct proportion if the quotient of two quantity equals constant (y/x = k, when y and x increased) and inverse if the product of the two quantity equals constant (yx = k, when x increased y decreased and vice versa)
∵ The area of the rectangular plot of land = 3000 yards²
∴ A = 3000
∵ Its length = 50 yards
∴ L = 50
→ Substitute them in the rule above to find W
∵ 3000 = 50 × W
→ Divide both sides by 50 to find W
∴ 60 = W
∴ The width of the plot is 60 yards
∵ Its length = 40 yards
∴ L = 40
→ Substitute them in the rule above to find W
∵ 3000 = 40 × W
→ Divide both sides by 40 to find W
∴ 75 = W
∴ The width of the plot is 75 yards
∵ Its length = 48 yards
∴ L = 48
→ Substitute them in the rule above to find W
∵ 3000 = 48 × W
→ Divide both sides by 48 to find W
∴ 62.5 = W
∴ The width of the plot is 62.5 yards
∵ Its length = 36 yards
∴ L = 36
→ Substitute them in the rule above to find W
∵ 3000 = 36 × W
→ Divide both sides by 36 to find W
∴ 83. 33 = W
∴ The width of the plot is 83.33 yards
∵ The area is a constant value
∵ A = LW
→ The product of L and W equals the constant value, can you discover
that from the values of L and W
∴ The length and the width of the rectangular plot vary inversely
The length and the width of the rectangular plot vary inversely when the same area is needed.
Area of Rectangle:Area of rectangular plot [tex]=length *width[/tex]
Given that, Area of plot is 3000 square yards.
If the length is 50 yards. Then,[tex]width=\frac{3000}{50} =60yd[/tex]
If the length is 40 yards. Then,[tex]width=\frac{3000}{40}=75yd[/tex]
If the length is 48 yards. Then,[tex]width=\frac{3000}{48}=62.5yd[/tex]
If the length is 36 yards. Then,[tex]width=\frac{3000}{36}=83.34yd[/tex]
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Solve for w.
5W + 9 = 22 + 3w
Ow=
=-=2
글
Ow=
= -22
W = -2
W=-72
Answer:
Your answer is : A) w = -7/2z
Step-by-step explanation:
Hope this helped : )
Option A is correct, the value of w is -7/2z in the equation 5w+9z=2z+3w.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 5w+9z=2z+3w
In the given equation w and z are the variables.
As per the question we need to solve for w which means we have to find the value of w
Take the like terms on one side by adding -3w-9z on both sides
5w+9z-3w-9z=2z+3w-3w-9z
2w=-7z
Now Divide both sides by two
w=-7/2z
Hence, Option A is correct, the value of w is -7/2z in the equation 5w+9z=2z+3w.
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A machine printed 63 booklets every 6 hours. At this rate, which proportion could be used to determine x, the number of booklets that the machine can print in 9 hours?
Can you help me find abcd please
Answer:
A.2 B.4 C.3 D.4 E.6
Step-by-step explanation:
1/2 ÷ 3/4 = 1/2 x 4/3 (flip 3/4 and keep 1/2)
If you multiply 1/2 x 4/3 you will get 4/6.
PLEASE help thank you
help help thanks and PLEASE
Answer:
ion know if imma be right or wrong but im guessing that #1 is C & #4 is either 6 or 7
Step-by-step explanation:
Bc both of the top part of the trapezoids look equal to each other but i could be wrong hopefully this helps
A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken a statistical methods course that involved significant computer interaction. Group 2 had taken a statistic methods course that did not use computers. The students' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 12 nursing students from Group 1 resulted in a mean score of 59.7 with a standard deviation of 2.8. A random sample of 15 nursing students from Group 2 resulted in a mean score of 64.7 with a standard deviation of 8.3. Can you conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2? Let µ1 represent the mean score for Group 1 and µ2 represent the mean score for Group 2. Use a significance level of α = 0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed.Step 1: State the null and alternative hypotheses for the test.Step 2: Compute the value of the t test statistic. Round your answer to three decimal placesStep 3: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places. Reject or fail to reject your hypothesis?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Group 1:
μ1 = 59.7
s1 = 2.8
n1 = sample size = 12
Group 2:
μ2 = 64.7
s2 = 8.3
n2 = sample size = 15
α = 0.1
Assume normal distribution and equ sample variance
A.)
Null and alternative hypothesis
Null : μ1 = μ2
Alternative : μ1 < μ2
B.)
USing the t test
Test statistic :
t = (m1 - m2) / S(√1/n1 + 1/n2)
S = √(((n1 - 1)s²1 + (n2 - 1)s²2) / (n1 + n2 - 2))
S = √(((12 - 1)2.8^2 + (15 - 1)8.3^2) / (12 + 15 - 2))
S = 6.4829005
t = (59.7 - 64.7) / 6.4829005(√1/12 + 1/15)
t = - 5 / 2.5108165
tstat = −1.991384
Decision rule :
If tstat < - tα, (n1+n2-2) ; reject the Null
tstat < t0.1,25
From t table :
-t0.1, 25 = - 1.3163
tstat = - 1.9913
-1.9913 < - 1.3163 ; Hence reject the Null
Divide. Reduce the awnser to lowest terms 5 2/3 divided by 3 1/9
Answer:
1 23/28
Step-by-step explanation:
turn both of your numbers into fractions: 17/3 and 28/9
to turn you equation into something that you can simplify, flip one of your fractions and that will turn the division sign into a multiplication sign:
17/3 x 9/28
you can simplify this by simplifying 9 to 3 and 3 to 1.
this means you now have 17 x 3/28
multiply 17 and 3 together since they are the numerators, you should get 51/28
now turn this into a mixed fraction: 1 23/28
Two dice are rolled fins the probability the sum is
Answer: You have a 1 out of 36 probability to find find the sum
Step-by-step explanation: There are two dice, and dice have 6 sides, meaning that you must do 6 to the power of 2 which gives you 36
Answer:
The probability will probably be 7.
Fun fact- if you roll a pair of dice, when you count the top number and then grab both dice without messing up the numbers you got it will equal 14 every time
Step-by-step explanation:
Pls Mark Brainliest
You play a game with a friend they pul a marble out of the bag with 3 red marbles and 7 green marbles. If the marble is red you win$2 if the marble is green you lose $1 What is the expected value of the game for you
Answer:
Step-by-step explanation:
Amount of red marbles = 3red
Amount of green marbles = 7 green
If the marble is red and you win $2, the total amount of money won = 3 * $2 = $6
If the marble is green and you loose $1, the total amount of money lost = 7 * $1 = $7
The expected value of the game for you = amount won - amount lost
= $6 - $7
= -$1
This means the expected value is a loss of $1
Find the exact value using a half angle identity. Cos(-pi/8)
9514 1404 393
Answer:
cos(-π/8) = (√(2+√2))/2
Step-by-step explanation:
The half-angle formula is ...
[tex]\cos{\dfrac{\theta}{2}}=\pm\sqrt{\dfrac{1+\cos{\theta}}{2}}[/tex]
Since cosine is an even function, cos(-π/8) = cos(π/8).
For θ/2 = π/8, θ = π/4 and cos(θ) = (√2)/2. Filling in the formula, we have ...
[tex]\cos{(-\dfrac{\pi}{8})}=\cos{\dfrac{\pi}{8}}=\sqrt{\dfrac{1+\cos{\dfrac{\pi}{4}}}{2}}=\sqrt{\dfrac{1+\dfrac{\sqrt{2}}{2}}{2}}\\\\=\sqrt{\dfrac{2+\sqrt{2}}{4}}=\boxed{\dfrac{\sqrt{2+\sqrt{2}}}{2}}[/tex]
ASAP! I will give branilest!
1. Based on the information in the table, is the cost of the apples proportional to the weight of apples? Yes/No
pounds of apples cost of apples
2 $3.76
3 $5.64
4 $7.52
5 $9.40
2. Base on the information in the table, is the cost of the pizza proportional to the number of toppings? Yes/No
number of toppings cost of pizza
2 $11.99
3 $13.49
4 $14.99
5 $16.49
3. Write an equation for the table that represents a proportional relationship.
c =
1.50 or 1.88
3A. Use the following variables to help in your equation:
Is A the answer or T
a is for pounds of apples
t is for number of toppings
Answer: 1. No 2. Yes 3. 1.88
Step-by-step explanation:
line 1 passes through points (4, -4) and (8,-3) while line 2 passes through points (1,-6) and (-1,2). determine whether the lines are parallel, perpendicular, or neither
Answer:
neither
Step-by-step explanation:
the slopes were [tex]\frac{1}{4}[/tex] and [tex]\frac{4}{1}[/tex]
the slopes have to be the same to be parallel and they have to be -1 to be perpendicular and if they arent that that means they are neither
Hope this helps
Triangle S and Triangle L are scaled copies of one
another. What is the scale factor from L to S?
Answer:
2
Step-by-step explanation:
The bottom of S is 2 units and the bottom of L is 4 Units.
4:2 is the ratio, and that is equal to 2
Shana took a test with 50 questions. she lost 2 points for each of the 5 questions she got wrong. She got all 3 extra credit questions correct and received 5 points for each. What is the total number of points she gained lost overall? A: gained 7 points
B: gained 5 points C: lost 5 points D: lost 20 points
Answer:
Answer
Answer is option A gained 5 points
Step-by-step explanation:
Please mark as brainliest
If the sum of three consecutive numbers is 1998, what is the first one?
Answer: 665
Step-by-step explanation: X + X + 1 + X + 2 = 1998
3X + 3 = 1998
3X + 3 - 3 = 1998 - 3
3X = 1995
3X/3 = 1995/3
X = 665
I need help fast
please help me
Answer:
14
Step-by-step explanation:
Somebody who know how to speak Spanish help.
Answer:
Step-by-step explanation:
lemme see the word bank
Which of the following is a proposed solution that is not a solution of the original equation?
an extraneous solution
conditional solution
an exponential solution
a radical solution
9514 1404 393
Answer:
an extraneous solution
Step-by-step explanation:
A solution that shows up as a result of the process of solving an equation, but that does not work in the original equation, is called "an extraneous solution".
_____
Additional comment
Radical and rational expression equations can have extraneous solutions. For radical equations, they are typically ones that require a negative square root (or negative root of even index). For rational expression equations, they typically involve "excluded" values, values that make a denominator be zero.
Two requirements to be employed within a certain company are that you must be at least 18 years of age and have had more than one job-related work experience. Write and graph two inequalities that represent the requirements.
Answer:
Step-by-step explanation:
x≥18 and x>1 are the inequalities which represents certain company are that you must be at least 18 years of age and have had more than one job-related work experience.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
Given,
A certain company are that you must be at least 18 years of age
Let x be the age of employees.
x must be at least 18 years of age.
x≥18
We use ≥ symbol when atleast is used, which means it can be 18 or more than that.
Now employees more than one job-related work experience
Let x be the work experience.
x>1
Here we use > because its given that it should be greater than 1.
Hence, x≥18 and x>1 are the inequalities which represents certain company are that you must be at least 18 years of age and have had more than one job-related work experience.
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One page of Abdul's stamp book has 5 stamps on each line. There are 8 lines. How many Stamos are on the page? *
Answer:
40 stamps
Step-by-step explanation:
To find how many stamps are on the page, multiply 5 by 8, since there are 5 stamps on each line and there are 8 lines:
5(8)
= 40
So, there are 40 stamps on the page.
the product of m and the sum of m and 82. Tranlate into a variable expression
Step-by-step explanation:
This expression will be;
m(m + 82).
Which equation represents the model below
A) 2x - 2 = -6
B) 4x = 6
C) 2x + 2 = -6
D) 4x = -6
PLS HELP ILL GIVE BRAINLEIST ALSO ILL GIVE MANY POINTS
Answer:
Digit
Step-by-step explanation:
Answer:
Expanded Notation Form:
30,000
+ 9,000
+ 0
+ 0
+ 5
Expanded Factors Form:
3 × 10,000
+ 9 × 1,000
+ 0 × 100
+ 0 × 10
+ 5 × 1
Expanded Exponential Form:
3 × 104
+ 9 × 103
+ 0 × 102
+ 0 × 101
+ 5 × 100
Word Form:
Thirty-nine thousand five.
Step-by-step explanation:
from (google)
Help please............................
Step-by-step explanation:
csc x / (cot x + tan x)
Write in terms of sine and cosine.
(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]
Multiply top and bottom by sin x.
1 / [cos x + (sin²x / cos x)]
Multiply top and bottom by cos x.
cos x / (cos²x + sin²x)
Use Pythagorean identity.
cos x / 1
cos x
The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 as a routine part of a physical exam, with levels above 4 ng/mL indicating possible prostate cancer. The test result is not always correct, sometimes indicating prostate cancer when it is not present and often missing prostate cancer that is present. Suppose that these are the approximate conditional probabilities of a positive (above 4 ng/ml) and negative test result given cancer is present or absent. In a large study of prostate cancer screening, it was found that about 6.2% of the population has prostate cancer. Draw a tree diagram for selecting a person from this population (outcomes: cancer present or absent) and testing his blood (outcomes: test positive or negative).
The missing table for the Test Result can be expressed as:
Test Result
Positive Negative
Cancer Present 0.21 0.79
Cancer Absent 0.06 0.94
Answer:
Step-by-step explanation:
A tree diagram is an elegant way of determining an exhaustive list of sample elements in the sample space. It is by finding the ordered n-tuples of the elements in the events under consideration.
The tree diagram for selecting a person from the population in the given question can be found in the attached image below.
PLEASE PLEASE HELP!!!
Answer:
Step-by-step explanation:
[tex]x^{2} \sqrt{x} \sqrt[n]{x} \frac{x}{y} x_{123} \beta \beta \alpha \neq \geq \\ \left \{ {{y=2} \atop {x=2}} \right.[/tex]
If the vertex of an absolute value function is (1.-2) and another point on the
graph is (0,2), find a and write the function in the form of g(x)=a/x-h1+k
Answer:
Maybe its y= b-x
Step-by-step explanation: