Answer:
134π
Step-by-step explanation:
c = 2πr
c = 2π(67)
c = 134π
What is the volume of the composite figure below? (formula for volume of a prism is 1/3 Bh where B is the area of the base.)
Answer:
Last Option; 84 cu. mm
Step-by-step explanation:
We know that;
Volume = 1/3(Bh)
And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36
And height = 7mm
Therefore we can say;
Volume = (1/3)*(6 x 6)*(7)
Volume = (1/3)*(36)*(7)
Volume = (12)*(7)
Volume = 84
Hope this helps!
A yogurt shop has 9 different flavors and 20 toppings. How many different combinations of single flavor, one topping yogurt can you create?
Select all the ordered pairs that are solutions of the equation.
A. (-7, 1)
B. (-1,7)
C. (0,5)
D. (2,3)
E. (3, 2)
F. (5,0)
Answer:
B. (-1,7)
C. (0,5)
D. (2,3)
Step-by-step explanation:
We solve this question looking at the graphic.
A. (-7, 1)
When [tex]x = -7, y \rightarrow \infty[/tex], and thus (7,-1) is not solution of the equation.
B. (-1,7)
When [tex]x = -1, y = 7[/tex], and thus (-1,7) is a solution of the equation.
C. (0,5)
When [tex]x = 0, y = 5[/tex], and thus (0,5) is a solution of the equation.
D. (2,3)
When [tex]x = 2, y = 3[/tex], and thus (2,3) is a solution of the equation.
E. (3, 2)
When [tex]x = 3, y \neq 2[/tex], and thus (3,2) is not part of the solution
F. (5,0)
When [tex]x = 5, y \neq 0[/tex], and thus (5,0) is not part of the solution
A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many solutions, which statement must be true?
A
The lines are parallel.
B
The lines intersect in one point.
C
The lines are the same.
D
None of the above
Answer:
c
Step-by-step explanation:
Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
So C would be the most accurate statement
please give brainiest
What is the factors of x^2-16x+64
Answer:
(x-8)² or (x-8)(x-8)
Step-by-step explanation:
x^2-16x+64
x^2 -8x -8x +64
x (x-8) - 8(x-8)
(x-8) (x-8)
(x-8)^2
1. You borrow $500 from a bank with a 5% annual interest and
the maturity date is in 3 years
a. How much would you pay in interest at the end of the
loan if you pay simple interest
b. How much would you pay in interest at the end of the
loan if you pay in compound interest
Answer:
Step-by-step explanation:
Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.
Determine the angles θ where sin(θ)=12
A)30o and 120o
B)60o and 120o
C)30o and 150o
D)60o and 150o
What expressions are equivalent to 2.097 help
Answer:
ur question is not complete.
-19x + 32 = -24x - 3
Answer:
x= -7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
-19x+32=-24x-3
-19x+24x=-3-32
5x=-35
X=-35/5= -7
I need help with alot of assignments.
Answer:
71
Step-by-step explanation:
if you add 15+15+11+11+19 you will be getting 71
Which set of numbers does NOT represent the lengths of the sides of a triangle? (6, 18, 23) (6, 22, 17) (16, 24, 7) (22, 8, 15
Answer:
(16, 24, 7)
Step-by-step explanation:
The Triangle Inequality states that the sum of lengths of any two sides should be greater than the length of the third side.
But 16 + 7 = 23 is not greater than 24.
A surveyor has a survey a triangular plot of land. One side of the plot lies along countryside road. This side is 400 ft long. The second side is the gore road, which intersects countryside road at an angle of 88 degrees. The third side of this plot of land is 550 ft long. Determine the distance of the gore road that makes up in the unknown side of plot to the nearest foot
9514 1404 393
Answer:
392 ft
Step-by-step explanation:
As in the attached figure, you seem to have sides b and c of the triangle, along with angle C. You want to find side 'a'. The law of sines can be used to find angle B, then angle A can be found from the sum of angles. Knowing angle A, we can find side 'a'.
sin(B)/b = sin(C)/c
sin(B) = (b/c)sin(C) = 400/550·sin(88°)
B = arcsin(8/11·sin(88°)) ≈ 46.621°
Then angle A = ...
A = 180° - B - C = 180° -46.621° -88° = 45.379°
Now, we can find side 'a' from ...
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) ≈ 550·sin(45.379°)/sin(88°) ≈ 391.710 . . . feet
The unknown side of the triangle is about 392 feet.
Solve for x. -2.7x + 0.4 =2.8 -1.2x
x=-1.6
Hope this Helped! :T
Use slope or the distance formula to determine the most precise name for the figure:
A(-4,-1), B(-2,4), C(4, 5), D(2,0).
Answer:
parallelogram
Step-by-step explanation:
opposite sides are parallel and equal
A linear function is given by the equation y=4x. Using the points x and x+1, show that the y-values increase by 4 between any two points separated by x2−x1=1
Answer:
[tex]x_2 - x_1 = 1[/tex] gives [tex]y_2 - y_1 = 4[/tex]
Step-by-step explanation:
Given
[tex]y = 4x[/tex]
[tex](x_1,x_2) = (x,x+1)[/tex]
Required
Show that the y values increases by 4 for [tex]x_2 - x_1 = 1[/tex]
We have:
[tex]y = 4x[/tex]
For [tex]x_1 = x[/tex]
[tex]y_1 = 4x_1[/tex]
Substitute [tex]x_1 = x[/tex]
[tex]y_1 = 4x[/tex]
For [tex]x_2 = x + 1[/tex]
[tex]y_2 = 4x_2[/tex]
Substitute [tex]x_2 = x + 1[/tex]
[tex]y_2 = 4(x+1)[/tex]
[tex]y_2 = 4x+4[/tex]
So, we have:
[tex]y_2 = 4x+4[/tex]
[tex]y_1 = 4x[/tex]
Subtract [tex]y_1[/tex] from [tex]y_2[/tex]
[tex]y_2 - y_1 = 4x + 4 - 4x[/tex]
Collect like terms
[tex]y_2 - y_1 = 4x - 4x+ 4[/tex]
[tex]y_2 - y_1 = 4[/tex]
Hence:
[tex]x_2 - x_1 = 1[/tex] gives [tex]y_2 - y_1 = 4[/tex]
i.e. an increment of 4
Whoever gets the answer first and its correct gets brainlist!
Answer:
No because the graph is not a straight line
Step-by-step explanation:
Since the slope isn’t constant, the graph is not linear
Mr X arranges to pay off a Debt of #9600 in 48 annual instalments which form an AP, when 40 of these instalments are paid, Mr X become insolvent,and he still owe his creditor #2400 find the value of each of the first three instalmentsof Mr X?
Answer:
The first 3 installments of Mr. X were $ 180.
Step-by-step explanation:
Since Mr X arranges to pay off a Debt of $ 9600 in 48 annual installments which form an AP, and when 40 of these installments are paid, Mr X become insolvent, and he still owe his creditor $ 2400, to find the value of each of the first three installments of Mr X the following calculation must be performed:
((9,600 - 2,400) / 40) = X
7,200 / 40 = X
180 = X
Therefore, the first 3 installments of Mr. X were $ 180.
My little cuz need help can you help her please
Its Eight grade math
Solve the equation by using substitution
4x-2y=18
y=5x
the is going to be x=3 43- 35 =18
may be that the way it should be
In your own words, explain how to factor a quadratic expression
Step-by-step explanation:
With the quadratic equation in this form: [tex]ax^2+bx+c=0[/tex]
Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b.
Example: 2x^2 + 7x + 3
ac is 2×3 = 6 and b is 7
So we want two numbers that multiply together to make 6, and add up to 7
In fact 6 and 1 do that (6×1=6, and 6+1=7)
How do we find 6 and 1?
It helps to list the factors of ac=6, and then try adding some to get b=7.
Factors of 6 include 1, 2, 3 and 6.
1 and 6 add to 7, and 6×1=6.
Step 2: Rewrite the middle with those numbers:
Rewrite 7x with 6x and 1x:
2x^2 + 6x + x + 3
Step 3: Factor the first two and last two terms separately:
The first two terms 2x^2 + 6x factor into 2x(x+3)
The last two terms x+3 don't actually change in this case
So we get:
2x(x+3) + (x+3)
Step 4: If we've done this correctly, our two new terms should have a clearly visible common factor.
In this case we can see that (x+3) is common to both terms, so we can go:
Start with: 2x(x+3) + (x+3)
Which is: 2x(x+3) + 1(x+3)
And so: (2x+1)(x+3)
Done!
Check: (2x+1)(x+3) = 2x2 + 6x + x + 3 = 2x2 + 7x + 3 (Yes)
Please Mark As Brainliest
Dan is helping to build a stage for a concert.
4 m
3 m
3 m
3.5 m
12 m
He needs to order some non-slip flooring for the stage.
Calculate the area of the stage.
Answer: 37m
Step-by-step explanation:
Convert 300cm into m = 3m
6 + 6 + 3 + 3 + 3.5 + 3.5 + 12 = 37m
Urgent math question, 10 points for a solve.
Answer:
cot (X) = 5/12
Step-by-step explanation:
tan (X) = opp/adj so cot (X) is adj/opp
Solve the right triangle below. Round sides to the nearest thousandth and angles to the nearest degree.
Answer:
Option 4, BC = 12.689, m∠A = 58°, and m∠C = 32°
Hope this helps!
which pair of words describes this system of equations 3y=9x-6 2y+6x=4
Answer:
Consistent and dependent
Step-by-step explanation:
Given
[tex]3y = 9x - 6[/tex]
[tex]2y + 6x = 4[/tex]
Required
The words that describe the equations
Make y the subject in (2)
[tex]2y + 6x = 4[/tex]
Collect like terms
[tex]2y = 4 - 6x[/tex]
Divide through by 2
[tex]y = 2 - 3x[/tex]
Substitute: [tex]y = 2 - 3x[/tex] in (1)
[tex]3y = 9x - 6[/tex]
[tex]3(2 - 3x) = 9x - 6[/tex]
[tex]6 - 9x = 9x - 6[/tex]
Collect like terms
[tex]9x+9x = 6+6[/tex]
[tex]18x = 12[/tex]
Solve for x
[tex]x = \frac{12}{18}[/tex]
Simplify
[tex]x = \frac{2}{3}[/tex]
Substitute [tex]x = \frac{2}{3}[/tex] in [tex]y = 2 - 3x[/tex]
[tex]y = 2 - 3*\frac{2}{3}[/tex]
[tex]y = 2 - 2[/tex]
[tex]y =0[/tex]
So, we have:
[tex]x = \frac{2}{3}[/tex] and [tex]y =0[/tex]
The system is consistent because it has at least 1 solution
The system is dependent because it has more than 1 solution
The weight, in pounds, of a newborn baby tt months after birth can be modeled by the equation W=1.75t+6.W=1.75t+6. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:
the slope is 1.75
Step-by-step explanation:
Interpretation: The weight of newborn is 6 lb at birth, and every month baby gained 1.75 lb. You replace x with month you want to know the weight. For example you can calculate the weight after 4 month : w= 1.75(4)+6= 13 lb
The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.30 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample of 10 adults after the campaign shows the following consumption in liters:
1.361.351.331.661.581.321.381.421.901.54
At the 0.050 significance level, can we conclude that water consumption has increased? Calculate and interpret the p-value.
A.) State the null hypothesis and the alternate hypothesis.
H0: μ ≤ _____
H1: μ >_____
B.) State the decision rule for 0.050 significance level. (round to 3 decimal places)
C.) Compute the value of the test statistic. (round to 3 decimal places)
D.) At the 0.050 level, can we conclude that water consumption has increased?
E.) Estimate the p-value.
Answer:
H0: μ ≤ 1.30
H1: μ > 1.30
|Test statistic | > 1.833 ; Reject H0
Test statistic = 3.11
Yes
Pvalue = 0.006
Step-by-step explanation:
H0: μ ≤ 1.30
H1: μ > 1.30
Samples, X ; 1.36,1.35,1.33, 1.66, 1.58, 1.32, 1.38, 1.42, 1.90, 1.54
Xbar = 14.84 / 10 = 1.484
Standard deviation, s = 0.187 (calculator)
Decison rule :
|Test statistic | > TCritical ; reject H0
df = n - 1 = 10 - 1 = 9
Tcritical(0.05; 9) = 1.833
|Test statistic | > 1.833 ; Reject H0
Test statistic :
(xbar - μ) ÷ (s/√(n))
(1.484 - 1.30) ÷ (0.187/√(10))
0.184 / 0.0591345
Test statistic = 3.11
Since ;
|Test statistic | > TCritical ; We reject H0 and conclude that water consumption has increased
Pvalue estimate using the Pvalue calculator :
Pvalue = 0.006
5,2,4 does this make a triangle
Answer:
Yes
Step-by-step explanation:
Two numbers have to be greater than the other one or it does not make a triangle.
5+2>4, 7>4 true
5+4>2, 9>2 true
4+2>5, 6>5 true
If this helps please mark as brainliest
Question 1 (1 point)
John started with $1,000 in an investment account. Each year the money in the account doubled. If there is currently $16,000 in the
investment account, how many years have passed since the account was opened?
years
Answer:
4 yrs have passed since the account was opened
Why is it important for a company to create an income statement?
I need help can someone tell me which choice is correct?
Answer: A, C, D
Step-by-step explanation:
A is correct because Audrey reads 40 pages a day, and David reads 20. When you divide 40 by 20, you get 2. This means that 2 times 20 would be 40, and anything multiplied by 2 is "twice".
40 ÷ 20 = 2
2 × 20 = 40
B is not correct because after 6 days, Audrey reads 240 pages, and David reads only 120. We can figure this out by multiplying the pages read by 6.
Audrey: 40 × 6 = 240
David: 20 × 6 = 120
C is correct because when you subtract 20 from 40, you get 20. Since Audrey reads 40 pages a day and David reads 20, you can use this equation: 40-20 to figure the answer out. Audrey reads 20 more pages every day.
[tex]40-20=20[/tex]
D is correct because after 2 days, Audrey will have read 80 pages, and David will have read 40 pages. When you subtract 40 from 80, you get 40 pages.
40 × 2 = 80
20 × 2 = 40
80 - 40 = 40
E is not correct because, after 3 days, Audrey will have read 120 pages, and David will have read 60 pages. One-third of 120 is 40, not 60. Three times 60 would be 180, not 120. So, This answer is incorrect.
Write the phrase as a numerical expression.
3.
5 more than 8
4. 8 less than 2 times a number
3. 8+5
4. 2x - 8
Step-by-step explanation:
3. for example : 5 more than the number means
x+5 so that's how we get the answer as 8+5
4. This can be explained in two folds firstly, for example: 2 less than the number means x-2.
secondly;7 times the number means 7x so therefore we get our final answer as 2x - 8