Answer:
Yes
(-4,-2) is a solution of a given system of equation
Step-by-step explanation:
Explanation:-
Given that the equation
y = 2 x + 6 ..(i)
Given point (-4,-2)
substitute x =-4 and y = -2 in equation (i)
-2 =2(-4) +6
-2 = -8+6
-2 =-2
∴ The point satisfies the given equation
To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.
Lizette earns $10 in gas money for driving to babysit and then earns $8 for each hour she
babysits the kids. How much money will she make for 5 hours of babysitting?
Answer:
$30
Step-by-step explanation:
8 x 5 = 40
40 - 10 = 30
if a spider is 35 mm long. how many centimeters long is the spider?
Answer:
It is 3.5 cm long
Step-by-step explanation:
1 cm = 10mm
So divide 35 by 10
T-shirts are on sale for 40% off. The original price per t-shirt is $20. What is the total cost, in dollars, of 8 of these t-shirts at the sale price, including an 11% sales tax?
Answer:
$106.56
Step-by-step explanation:
discounted price of each shirt is $12
12 x 8 = $96 for 8 shirt
96 x 1.11 = $106.56
can someone pls just give me a simple answer -6(2z - 4) use Z = 3
Answer:
12
ignore this i have to put words in to give u the answer
Answer:
-6 (this is easy math)
Factor by grouping.
30y + 3h + 10vr + hr
Answer:
30y+hr+10rv+3h
Step-by-step explanation:
Hope this helps
if 3/4 of a certain number is equal to 4 1/2, find the number
Answer:
6
Step-by-step explanation:
3/4x = 9/2
4/3 * 9/2 = 36/6
6
The number in the mathematical statement is 6
How to determine the number?Let the number be x.
So, the equation can be represented as:
3/4 * x = 4 1/2
Express the fraction as an improper fraction
3/4 * x = 9/2
Multiply through by 4/3
x = 6
Hence, the number is 6
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a. Find the value of x
below
#The x side is same with 80° so
11x + 3 = 80°
11x = 80 - 3
11x = 77
x = 7
Answer : 7the coast of 16 pens is rupees 256. Find the cost of 13 pens.
what is the area of a figure what is the area of a figure with a 16 inch base a 10 inch base and a height of 8 in on the left and 6in on the right
Solve the inequality:
15 ≤ 3 − 2x
Divide both sides by 2
2.2 Subtract 6 from both sides
x ≤ -6
2.000 X + 12.000 ≤ 0
Answer: x ≤ -6
NEED HELP ASAP!!!!!!!
Step-by-step explanation:
It's must be -3 ...............
Market researchers wanted to know whether the placement of a new product on a supermarket shelf significantly increases the percent of shoppers who will buy the product. At Supermarket X, a new product was placed on the top shelf, and at Supermarket Y, the product was placed one shelf below the top shelf. To observe buying habits, the researchers selected a random sample of 364 shoppers at X and another random sample of 327 shoppers at Y. Of the selected shoppers at X, 15 bought the product, and of the selected shoppers at Y, 19 bought the product. Which of the following is the most appropriate method for analyzing the results?
a. A two-sample z-test for a difference in sample proportions.
b. A two-sample z-test for a difference in population proportions
c. A one-sample z-test for a sample proportion
d. A one-sample z-test for a population proportion
e. A one-sample z-test for a difference in sample proportions
Answer:
a. A two-sample z-test for a difference in sample proportions
Step-by-step explanation:
We are told that there are two supermarkets in the research named X and Y.
That a random number of shoppers were selected in each supermarket.
Thus means we have two different sample proportion.. Since a different number of people were randomly selected from each supermarket and a different number of people purchased the product.
Thus, we will have 2 sample proportions one for supermarket X and the other for supermarket Y.
In addition, the position of the product was different in both supermarkets.
Thus, we can say that this is a 2 sample Z-test for difference in their sample proportion.
The option that is most appropriate method for analyzing the results is that a two sample z test for a difference in population proportions.
What is a two sample z-test?A Two-Sample Z-test is known to be a kind of test that is often employed so as to make a comparison of the means of two samples to know and show if it is feasible that they are a product of the same population.
Conclusively, When a two sample z test is employed in the data given above, one can know and show the various difference that can be seen in population proportions.
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A computer laboratory manager was in charge of purchasing new battery packs for her lab of laptop computers. She narrowed her choices to two models that were available for her machines. Since the models cost about the same, she was interested in determining whether there was a difference in the average time the battery packs would function before needing to be recharged. She took two independent samples and computed the following summary information: Battery Pack Model 1 Battery Pack Model 2Sample Size 9 9Sample Mean 5 hours 5.5 hoursStandard Deviation 1.5 hours 1.3 hoursUsing the null and alternate hypothesis:H0:mu1-mu2=0 vs. Ha: mu1-mu2 not equal 0Calculate the test statistic for this test.
Answer:
-0.756
Step-by-step explanation:
N1 = 9
N2 = 9
Sd1 = 1.5 hours
Sd2 = 1.3 hours
X1 = 5 hours
X2 = 5.5 hours
Hypothesis
H0: mu1 - mu2 = 0
H1 : mu1 - mu2 not equal to 0
Test statistic
t = (x1 - x2)/SE
SE is the standard error, which is unknown
SE = √sd1²/n1 + sd2²/n2
= √1.5²/9 + 1.3²/9
= √0.25+0.1878
= √0.4378
= 0.66166
t statistics = (5-5.5)/0.66166
= -0.5/0.66166
= -0.756
ILL MARK U BRAINLEST Find the circumference of the circle. Use 3.14 for 1. Round to the nearest hundredth, if necessary.
is
9 in.
The circumference of the circle is about
inches.
1
Answer:
The answer is either 56.55in or 28.27
Step-by-step explanation:
This is the formula that I used
C=2πr
Circumference = 2·π·4.5 ≈ 28.27433 or
Circumference = 2·π·9 ≈ 56.54867
The answer can be either one. It depends on if 9 is the radius or the diameter of this circle. If 9 is the radius, then the answer would be 56.55in. If the radius isn't 9 but 9 is the diameter, then your radius would be 4.5 and the answer would be 28.27in.
Hope that helps :)
The circumference of the circle will be 56.52 inches.
The circumference of a circle can be found using the formula:
Circumference = 2πr
Where r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14159.
If the radius of the circle is 9 inches, then we can substitute this value into the formula to find the circumference:
Circumference = 2π(9 inches)
Circumference = 18π inches
We can leave the answer in terms of π or approximate it using a decimal approximation for π. Using the value of π rounded to 3.14, we have:
Circumference ≈ 56.52 inches
Therefore, the circumference of a circle with a radius of 9 inches is approximately 56.52 inches or exactly 18π inches.
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Sandy spent 20% of x hours at her part-time job.What is x if 20% of x is about 26 hours?
Help me plsssssssssssssssssssssss
what is the solution to 5(4x-1.5x)+12-2
Answer:
12.5x+10
Step-by-step explanation:
I'm assuming that you want to simplify this, because there is no equal sign.
If you want to simplify, first combine like terms.
First solve the first half of the equation: 20x-7.5x=12.5x
Now solve the second half of the equation: 12-2=10, so we have 12.5x+10.
That's your answer: 12.5x+10
Answer:
x = 0.8
Step-by-step explanation:
Your equation is 5(4x - 1.5x) + 12 - 2. Simply, you have to solve for x.
First, you have to do distributive property. 5 x 4 and -1.5 (1.5 is negative as I plus-minus.) This will now lead you to have the equation 20x + -7.5x + 12 - 2.
Next, you subtract 12 - 2. Then add 20x + -7.5x. Your equation should be 12.5x = 10.
Since you want x by itself, you will divide all by 12.5 in which 10 divided by 12.5 is 0.8. So your final answer is
x = 0.8
Solve for P:
-11 = p - 9
Answer:
-2Step-by-step explanation:
Add 9 on both sides.
You'll get -2=p
So -2 = p.
-2 is your answer.
Answer:
-2
Step-by-step explanation:
-11 = p - 9
p = -11 + 9
p = -2
Check:
-11 = -2 - 9
Hope that helps!
2?////////////////////////////////////////////////
Answer:
2...........???
Step-by-step explanation:
A Mater Exam
Q2 SA 1
4 Points
What is the slope of a line that is perpendicular to the line f(x) = 2x + 6? Justify your answer
by typing out your calculations or explaining your reasoning.
Enter your answer here
Please select file(s)
Select file(s)
Answer:
The slope of the perpendicular line to the line is
m = [tex]\frac{-1}{2}[/tex]
Step-by-step explanation:
Step(i):-
Given that the line y =f(x) = 2x +6
⇒ y = 2x +6
comparing y =mx +c
The slope of the given line m =2
Step(ii):-
The slope of the perpendicular line = [tex]\frac{-1}{m}[/tex]
The slope of the perpendicular line = [tex]\frac{-1}{2}[/tex]
Melanie and Mark borrowed $2500 at a simple interest rate of 7% for a period of 3 years. What was the interest?
Answer:
525 $
Step-by-step explanation:
Amount borrowed = $2500
Rate = 7%
Time = 3 years
therefor interest = $2500 X 7/100 X 3
Hope it help You
PLEASE IS MY LAST QUESTION
WILL GIVE BRAINLIEST
Answer:
A. 6
Step-by-step explanation:
The equation should equal 20 so first subtract 2 from 20 which is 18 then divide 18 by 3 which is 6, 6 is your answer.
Opposite angles are equal
[tex]\\ \sf\longmapsto 3x+2=20[/tex]
[tex]\\ \sf\longmapsto 3x=20-2[/tex]
[tex]\\ \sf\longmapsto 3x=18[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{18}{3}[/tex]
[tex]\\ \sf\longmapsto x=6[/tex?
What is the AREA of the given circle?
62.83 in²
157.08in²
314.16 in²
628.32 in²
Answer:
314.16 in²
Step-by-step explanation:
Answer:
[tex]A[/tex] ≈ [tex]314.16[/tex]
Step-by-step explanation:
[tex]A=\pi r^2[/tex]
[tex]A = \pi (10)^2[/tex]
[tex]A = \pi (100)[/tex]
[tex]A[/tex] ≈ [tex]314.16[/tex]
Decide if the following is a true or false statement - explain how you know
(- 1/2) - (4.25) is positive
Answer:
False
Step-by-step explanation:
The equation equals -1/2 - 4.25 which is -4.75, which is negative.
Hope that helps!
the water supplied by a pump fills a drum of 200 liters in 20 seconds. what is the flow rate of this pump
Step-by-step explanation:
Water filled in 20 second = 200 liters
Water filled in 1 second = 200 / 20 = 10 liters
The flow rate of the pump is 10 liters per second.
Hope it will help :)
Based on the water the pump supplies in 20 seconds, we can find that the flow rate of the pump is 10 liters per second.
The flow rate is essentially the amount of water the pump supplies per unit amount of time which in this case is seconds.
It can be calculated as:
= Amount of water supplied / Time supplied
= 200 / 20
= 10 liters per second
In conclusion, the pump has a flow rate of 10 liters per second.
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please help 30 points !! in a proportional relationship when Y=2 when X=8 Which of the following equations would describe this relationship?
Answer:
(1)
Step-by-step explanation:
We will try:
(1) y = [tex]\frac{1}{4}[/tex]x => 2 = 2 (seems legit)
(2) y = 4x => 2 = 32 (nope)
(3) y = x - 6 => 2 = 2 (yes but actually no because it is proportional relationship)
(4) y = [tex]\frac{1}{2}[/tex]x - 2 => 2 = 2 (like the above)
4+ 3/6 + 2/6! It’s zearn!!
Answer:
=29/6
Step-by-step explanation:
4+3/6+2/6
=4+1/2+2/6
=9/2+2/6
=9/2+1/3
=29/6
Answer:
4 5/6 = 29/6 = 4.833333333
Step-by-step explanation:
4+3/6+2/6
Reduce the fraction 3/6 to lowest terms by extracting and canceling out 3.
4+1/2+2/6
Convert 4 to fraction 8/2
8/2+1/2+2/6
Since 8/2 and 1/2 have the same denominator, add them by adding their numerators.
8+1 / 2 + 2/6
Add 8 and 1 to get 9.
9/2 + 2/6
Reduce the fraction 2/6 to lowest terms by extracting and canceling out 2.
9/2 + 1/3
Least common multiple of 2 and 3 is 6. Convert 9/2 and 1/3 to fractions with denominator 6.
27/6 + 2/6
Since 27/6 and 2/6 have the same denominator, add them by adding their numerators.
27+2 / 6
Add 27 and 2 to get 29.
29/6
PLS HELP ASAP GIVING 35 POINTS... If a rock has a mass of 1.5 - g / mL and displaces 5-mI. of water, what is the mass of the rock?
800 liralık bir telefonun fiya-
tina %6 zam yapılıyor.
Yeni satış fiyatı kaç lira
olur?
Answer:
8ile 6 yı çarp sonucu 800 ile topla 48+800= 848