Answer:
height = 4cm
Step-by-step explanation:
volume = п r² h
п = 3.14 (aprox.)
r = radius
h = height
volume = 616cm³
then:
616 = 3.14 * 7² * h
616 = 3.14*49*h
616 = 153,86 * h
h = 616 / 153.86
h = 4
height = 4cm
Answer:
Your answer is
Step-by-step explanation:
If u multiply 616cm^3 multipied by 7 cm gives you the correct answer because volume multiplied by radius=height of that particular object.Hope this helps....
Have a nice day!!!!
This table represents a quadratic function.
y
x
0
14
1
10.5
2
8
3
6.5
4
5
6.5
What is the value of a in the function's equation?
A.2
B.1/2
C.-1/2
D.1
Answer:
B. 1/2
Step-by-step explanation:
y = ax^2 + bx + c
14 = a(0)^2 + b(0) + c
c = 14
10.5 = a(1)^2 + b(1) + 14
10.5 = a + b + 14 ____(i)
8 = a(2)^2 + b(2) + 14
8 = 4a + 2b + 14
4 = 2a + b + 7 ___ (ii)
i - ii
10.5 - 4 = -a + 7
6.5 = -a + 7
a = 7- 6.5
a = 0.5
Value of a in the quadratic function is 0.5
What is Quadratic function?In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree
Given,
Quadratic function
y = [tex]ax^{2}+bx+c[/tex]
Consider values in the table x= 0 and y =14
[tex]14=a(0)^{2}+b(0)+c\\ c=14[/tex]
Consider x=1 and y = 10.5
[tex]10.5=a(1^{2})+b(1)+c\\ a+b=10.5-14\\a+b=-3.5[/tex]
Consider x=2 and y =8
[tex]8=a(2^{2})+b(2)+c\\ a\\8=4a+2b+14\\4a+2b=-6\\2a+b=-3[/tex]
Subtract a + b= -3.5 from 2a + b= -3
a=-3--3.5=0.5
Hence, the Value of a in the quadratic function is 0.5
Learn more about Quadratic function here
https://brainly.com/question/5975436
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Anna is planting in her garden the package says she needs to use 4 punds od fertilizer for 120 sqft the area of annas yard is 180 how much fertilizer is needed for the 180 sqft garden
Answer:
6 pounds
Step-by-step explanation:
The area of Anna's garden = 180 square feet
From the question, we know that:
120 square ft = 4 pounds of fertilizer
180 square ft = y
Cross Multiply
120 × y = 4 × 180
y = 4 × 180/120
y = 720/120
y = 6 pounds
Therefore, the amount of fertilizer that is needed for Anna's 180 square feet garden is 6 pounds.
Company a samples 16 workers, and their average time with the company is 5.2 years with a standard deviation of 1.1. Company b samples 21 workers and their average time with the company is 4.6 years with a standard deviation 4.6 years
Company a samples 16 workers, and their average time with the company is 5.2 years with a standard deviation of 1.1. Company b samples 21 workers and their average time with the company is 4.6 years with a standard deviation 4.6 years
The populations are normally distributed. Determine the:
Hypothesis in symbolic form?
Determine the value of the test statistic?
Find the critical value or value?
determine if you should reject null hypothesis or fail to reject?
write a conclusion addressing the original claim?
Answer:
Step-by-step explanation:
GIven that :
Company A
Sample size n₁ = 16 workers
Mean [tex]\mu[/tex]₁ = 5.2
Standard deviation [tex]\sigma[/tex]₁ = 1.1
Company B
Sample size n₂ = 21 workers
Mean [tex]\mu[/tex]₂ = 4.6
Standard deviation [tex]\mu[/tex]₂ = 4.6
The null hypothesis and the alternative hypothesis can be computed as follows:
[tex]H_o : \mu _1 = \mu_2[/tex]
[tex]H_1 : \mu _1 > \mu_2[/tex]
The value of the test statistics can be determined by using the formula:
[tex]t = \dfrac{\overline {x_1}- \overline {x_2}}{\sqrt{\sigma p^2( \dfrac{1}{n_1}+\dfrac{1}{n_2})}}[/tex]
where;
[tex]\sigma p^2= \dfrac{(n_1 -1) \sigma_1^2+ (n_2-1)\sigma_2^2}{n_1+n_2-2}[/tex]
[tex]\sigma p^2= \dfrac{(16 -1) (1.1)^2+ (21-1)4.6^2}{16+21-2}[/tex]
[tex]\sigma p^2= \dfrac{(15) (1.21)+ (20)21.16}{35}[/tex]
[tex]\sigma p^2= \dfrac{18.15+ 423.2}{35}[/tex]
[tex]\sigma p^2= \dfrac{441.35}{35}[/tex]
[tex]\sigma p^2= 12.61[/tex]
Recall:
[tex]t = \dfrac{\overline {x_1}- \overline {x_2}}{\sqrt{\sigma p^2( \dfrac{1}{n_1}+\dfrac{1}{n_2})}}[/tex]
[tex]t = \dfrac{5.2- 4.6}{\sqrt{12.61( \dfrac{1}{16}+\dfrac{1}{21})}}[/tex]
[tex]t = \dfrac{0.6}{\sqrt{12.61( \dfrac{37}{336})}}[/tex]
[tex]t = \dfrac{0.6}{\sqrt{12.61(0.110119)}}[/tex]
[tex]t = \dfrac{0.6}{\sqrt{1.38860059}}[/tex]
[tex]t = \dfrac{0.6}{1.178388981}[/tex]
t = 0.50917
degree of freedom df = ( n₁ + n₂ - 2 )
degree of freedom df = (16 + 21 - 2)
degree of freedom df = 35
Using Level of significance ∝ = 0.05, From t-calculator , given that t = 0.50917 and degree of freedom df = 35
p - value = 0.3069
The critical value [tex]t_{\alpha ,d.f}[/tex] = [tex]t_{0.05 , 35}[/tex] = 1.6895
Decision Rule: Reject the null hypothesis if the test statistics is greater than the critical value.
Conclusion: We do not reject the null hypothesis because, the test statistics is lesser than the critical value, therefore we conclude that there is no sufficient information that the claim that company a retains it workers longer than more than company b.
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
O FID = - Šv
O f(x) = - 3x + 4
Of(x) = -x +
O fly) = -34+4
Answer:
f(x) = - 3x + 4
Step-by-step explanation:
Note that y = f(x)
Rearrange making y the subject
9x + 3y = 12 ( subtract 9x from both sides )
3y = - 9x + 12 ( divide all terms by 3 )
y = - 3x + 4 , that is
f(x) = - 3x + 4
Please answer this question now
Answer:
298.3 square centimeters
Step-by-step explanation:
We are given
Slant height (l)= 14cm
Radius (r)= 5cm
Since we are given the slant height ,
the formula for surface area of a cone =
πrl + πr²
πr(l + r)
π = 3.14
Hence,
3.14 × 5(14 + 5)
3.14 × 5(19)
= 298.3 square centimeters
What is the factored form of 125x6 – 8?
Answer:
Step-by-step explanation:
125 = 5 *5 * 5 = 5³
8 = 2 * 2 *2 = 2³
125x⁶ - 8 = 5³(x²)³ - 2³
= (5x²)³ - 2³ { a³ - b³ = (a -b)(a² + ab + b²)
= (5x² - 2) ([5x²]² + 5x²*2 + 2²)
= (5x² - 2)(25x⁴ + 10x² + 4)
Hint: (5x²)² = 5² * (x²)² = 25* x²ˣ² = 25x⁴
Ella's pet snake is 42 inches long, and Roya's pet snake is 8 feet long. How many inches longer is Roya's snake?
Answer:
54 inches
Step-by-step explanation:
First, let's convert the measurements into a common measurement.
Since inch is the smallest measurement here, let's use that.
Ella's pet snake is 42 inches long.
Roya's pet snake is 8 feet long. There are 12 inches in one foot. Therefore, 8 feet would mean 12 times 8 or 96 inches.
Therefore, Roya's snake is 96 inches long.
To find out how many inches longer is Roya's snake, subtract:
96 - 42 = 54.
Therefore, Roya's snake is 54 inches longer than Ella's.
if the first step of the equation -8 - 7x = -5x - 10 is " add 10" then what should be done next?
Answer:
Add 7x to each side
Step-by-step explanation:
-8 - 7x = -5x - 10
Add 10 to each side
-8 - 7x+10 = -5x - 10+10
2 -7x = -5x
Add 7x to each side
2-7x+7x = -5x+7x
2 = 2x
Answer: See below
Step-by-step explanation:
[tex]-8 - 7x = -5x - 10[/tex]
I believe it is adding 8 on both sides
The next step after adding 8 on both sides is adding 5x on both sides
[tex]-7x=-5x-2[/tex]
[tex]-7x+5x=-5x-2+5x[/tex]
[tex]-2x=-2[/tex]
x=1
Convert the following:
22 tons is equivalent to
kilograms
Answer:
19958.1
step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
What’s is the formula for the fill arithmetic sequence? -9,-2,5,12
Answer:
a +d = a2
Step-by-step explanation:
-2 - (-9) =
-2+9=7
a + d = a2
Please help solve this, I solved it on my own but I think my calculations are wrong. here is the problem,
b-(b+a×4c÷4); use; a=-6, b=1, and c=2?
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------------
Answer: 12~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~First we need to substitute the value of the variable into the expression and simplify.
b-(b+a×4c÷4) = 1 - (1 + -6 × 4(2) ÷ 4).
Now we need to solve 1 - (1 + -6 × 4(2) ÷ 4).
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1 - (1 + -6 × 4(2) ÷ 4)
|
| First, we cancel out 4 and 4.
\/
1 - (1 - 6 × 2)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Next, we multiply -6 and 2 to get -12.
1 - (1 - 12)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Then we subtract 12 from 1 to get -11.
1 - (-11)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The opposite of -11 is 11.
1 + 11.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Add 1 and 11 to get, you guessed it, 12!Answer:
Answer: 12
Hope this helps
You are hiking and are trying to determine how far away the nearest cabin is, which happens to be due north from your current position. Your friend walks 245 yards due west from your position and takes a bearing on the cabin of N 22.6°
e. How far are you from the cabin?
Answer:
589 yards
Step-by-step explanation:
This is a question that requires the use of trigonometric functions.
The trigonometric function to be used here is the tangent function.
tan θ = Opposite side/ Adjacent side
In the question, we are told
Your friend walks 245 yards due west from your position = Opposite side
Your friend's takes a bearing on the cabin of N 22.6° = θ
Your distance from the cabin = Adjacent side
Hence,
tan 22.6 ° = 245/ Adjacent side
Cross Multiply
Adjacent side = 245/ tan 22.6°
Adjacent side = 588.57469726 yards.
Therefore, your distance from the cabin approximately to the nearest yard(whole number) = 589 yards
Could someone please explain/help me to do this using Pythagoras theorem?
Answer:
[tex]\boxed{478.02}[/tex]
Step-by-step explanation:
→ First understand what Pythagoras theorem is
Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.
→ State the formula and identify the letters
a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out
→ Substitute in the values into the formula
380² + 290² = c²
⇒ Simplify
144400 + 84100 = c²
⇒ Collect the numbers together
228500 = c²
⇒ Square root both sides to find 'c'
478.0167361 = c
→ The length of the diagonal is 478.02
The distance of planet Mercury from the Sun is approximately 5.8. 107 kilometers, and the distance of planet Venus from the Sun is 1.1. 10 kilometers. About how many more kilometers is the
distance of Venus from the Sun than the distance of Mercury from the Sun?
Answer:
I would say about 5 times but I am not sure so if it is wrong am sorry.
Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m = 12s, where m is the number of minutes and s is the number of sketches.
If Lori made of a sketch, she spent minutes sketching.
Answer:
A. 9
Step-by-step explanation:
Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m=12s where m is the number of minutes and s is the number of sketches if Lori made 3/4 of a sketch she spent A.9 B.12 C.16 D.20 minutes sketching
Solution
m= number of minutes
s= number of sketches
Equation is
m=12s
If Lori made 3/4 of the sketch, then the time spent is ?
s=3/4
m=?
m=12s
m= 12 × 3/4
=36/4
=9
m=9
If Lori made 3/4 of the sketch, then she spent 9 minutes sketching.
Answer:
I hope this helps
Step-by-step explanation:
Find x
A. 33
B. 44√3
C. 33√2
D. 11√3
Answer:
d
Step-by-step explanation:answer is d on edg
Simplify 7^ -5/6 x 7^-7/6
Answer:
1/49
Step-by-step explanation:
If you add this is the calculator, I think it will come out.
━━━━━━━☆☆━━━━━━━
▹ Answer
1/49
▹ Step-by-Step Explanation
7^-5/6 * 7^-7/6
= 1/7²
= 1/49
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
One stool rocks slightly from side to side on your kitchen floor. Which of the two stools could this possibly be? Explain your answer Choices: 3 legged stool, 4 legged stool
Answer:
The four legged stool is the one that rocks slightly from side to side. The three legged stool does not.
Step-by-step explanation:
The four legged stool is the one that rocks slightly because the three legs determine a plane, and the three legs are stuck on that single plane.
Roselyn is driving to visit her family, which live 150 150150 kilometers away. Her average speed is 60 6060 kilometers per hour. The car's tank has 20 2020 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 66 kilometers per liter. Fuel costs 0.60 0.600, point, 60 dollars per liter. How long can Roselyn drive before she runs out of fuel?
Answer:
She can go 120 km before she runs out of fuel
It will take 2 hours.
Step-by-step explanation:
150 km is the distance
60 km/ h is the speed
The gas tank is 20 liters
We can go 6 km per liter
Fuel costs .60 dollars per liter
We need to determine how far she can go on a tank of gas
20 liters * 6 km / liter = 120 km
She can go 120 km before she runs out of fuel
120 km = 60 km/ h * x hours
Divide each side by 60
120/60 = x
2 hours
Answer:
Hopes this helps!
Step-by-step explanation:
PLEASE HELP TO BE MARKED THE BRAINLIEST
Answer:
4. m_LON + m_MON = m_LON; m_JKL + m_IKH = m_HKJ
Step-by-step explanation:
Both interior angles of each add up to m_LON:m_HKJ
To prove this we show the interior angles add + sign to each prove LON angle, and : colon separates from the proof of m_JKL+m_IKH= m_HKJ.
Suppose the population of a country is 100 people: 40 work full-time, 20 work half-time but would prefer to work full-time, 10 are looking for a job, 10 would like to work but are so discouraged they have given up looking, 10 are not interested in working because they are full-time students, and 10 are retired. What is the number of unemployed
Answer:
10
Step-by-step explanation:
Those people who are actively seeking for a job are counted as unemployed. Underemployment is not considered as unemployment. Those who have given up looking for jobs are also not considered as unemployed as well. Hence there are 10 unemployed people.
Solve the equation
(If possible please show work)
Answer:
Step-by-step explanation:
-8 + 8a = -12 + 4a
4a - 8 = -12
4a = -4
a = -1
Answer:
a = -1
Step-by-step explanation:
[tex]4(-2+2a) = -12 +4a\\-8+8a=-12+4a\\8a = -4 +4a\\4a=-4\\\frac{4a}{4} =\frac{-4}{4} \\a=-1[/tex]
I hope that makes since... I tried to show my work the best I could.
Question 1 (
Multiple Choice Worth 3 points)
(07.04)
The cost of 3 slices of pizza is $4.89. What is the cost of each slice of pizza?
O $1.63
$1.89
O $2.45
O $2.88
Answer:
Each slice of pizza cost:
$1.63
Step-by-step explanation:
4.89/3 = 1.63
Answer:
$1.63
Step-by-step explanation:
We want to find the cost per slice of pizza. Therefore, we must divide the total cost by the number of slices of pizza.
cost / slices
It costs $4.89 for 3 slices.
$4.89 / 3 slices
Divide 4.89 by 3 (4.89/3=1.63)
$1.63 / slice
The cost of each slice of pizza is $1.63
Duane is making a casserole for dinner. He has been cooking the casserole for 48 minutes. The casserole
needs to cook for 47 more minutes.
How many minutes does the casserole cook in total?
Answer:
95 minutes
Step-by-step explanation:
Add together how long it has been cooking plus how long it needs to cook
48+47 = 95
95 minutes
Answer:
155
Step-by-step explanation:
Add 60 and 48 to get 108 then add 108 and 47 to get 155
A machine fills 680 bottles in 5hours how many bottles will it fill in three hours?
Answer:
408 bottles
Step-by-step explanation:
the machine can fill 136 bottles in 1 hour, 136×3=408
Answer:
408
Step-by-step explanation:
680 bottles in 5 hours
in three hours:
1 hour =680/5=136
in three hours:it will be 136*3=408
Which equation has a constant of proportionality equal to 3? A. y= 8/5 x B. y= 1/3 x C. y= 1/4 x D. y= 18/6 x PLEASE HELP ME :c
Answer:
(D) [tex]y=\frac{18}{6}x[/tex]
Step-by-step explanation:
We will be able to know if an equation has a constant of proportionality of 3 if the constant which is being multiplied by x is equal to 3.
[tex]\frac{8}{5} =1.6[/tex] so no for A.
[tex]\frac{1}{3} = 0.\overline{33}[/tex] so no for B too.
[tex]\frac{1}{4} = 0.25[/tex] so no for C as well.
[tex]\frac{18}{6} = 3[/tex], so D works.
Hope this helped!
Bryce is making a model building. He raises the walls of the building by 2centimeters five times. By how many centimeters does Bryce raise the walls all together?
Answer:
C. 10cm
Step-by-step explanation:
Bryce is making a model building.
He raises the walls of the building
by 2 centimeters five times. By how
many centimeters does Bryce raise
the walls all together?
(A) 2 cm
(C) 10 cm
(B) 5 cm
(D) 20 cm
Bryce raises the walls of the building 2centimeters five times
This means, he raises the walls 2centimeters five different times
By how many centimeters does Bryce raise the walls all together?
We can solve this by finding the product of 2centimeters five times
The total centimeters Bryce raises the walls altogether= 2 centimeters × 5 times
=2cm × 5
=10cm
please help me on this
Answer:
if an angle measures more than 90 degrees, then the angle is obtuse
What is the prime factorization of 270?
Answer:
[tex]\boxed{3^3 * 2 * 5}[/tex]
Step-by-step explanation:
Look at the image below ↓
Answer:
16 factors of 270
Step-by-step explanation:
1*270
2*135
3*90
5*54
6*45
9*30
10*27
15*18
Compute the value of each expression |-1||-||5|
Answer:
5
Step-by-step explanation:
The absolute value is the distance between a number and zero. The distance between − 1 and 0 is 1
1 |-5|
Multiply | − 5 | by 1
The absolute value is the distance between a number and zero. The distance between − 5 and 0 is 5
Hope this can help
