Answer:
11 * 5 = 55
Step-by-step explanation:
The factors are 5 and 11?
Find the value of x in the triangle shown below
Answer:
48 (i might be wrong)
Step-by-step explanation:
180-66-66=48
A rectangle prism has a length of 7 cm, a width of 4 cm, and a height of 2 1/2 cm.
The prism is filled with cubes the have edge lengths of 1/2 cm .
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism,_____ cubes are needed.
Answer:
The heartened are in cm so it's L x W x H which would be 7 x 4 x 2.5 = 70cm cubes.
But because our cubes are 1/2cm cubes, each 1cm cube holds 8 1/2 cm cubes. (2 x. 05 long by 2 x 0.5 wide by 2 x 0.5 high)
So we need to multiply our 70 cm cubes by 8.
70x 8 = 560 1/2 cm cubes.
Find t′(x) from t(x)=√(−3x−7) using the definition of a derivative.
By definition of the derivative,
[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{t(x+h) - t(x)}h[/tex]
[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{\sqrt{-3(x+h)-7} - \sqrt{-3x-7}}h[/tex]
Rationalize the numerator by multiplying the fraction uniformly by its conjugate:
[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{\sqrt{-3(x+h)-7} - \sqrt{-3x-7}}h \times \dfrac{\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}}{\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}}[/tex]
[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{\left(\sqrt{-3(x+h)-7}\right)^2 - \left(\sqrt{-3x-7}\right)^2}{h \left(\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}\right)}[/tex]
[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{(-3(x+h)-7) - (-3x-7)}{h \left(\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}\right)}[/tex]
[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{-3h}{h \left(\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}\right)}[/tex]
[tex]\displaystyle t'(x) = -3 \lim_{h\to0} \frac1{\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}}[/tex]
The remaining limand is continuous at h = 0, so we can substitute h = 0 directly and get a limit/derivative of
[tex]\displaystyle t'(x) = -\frac3{\sqrt{-3(x+0)-7} + \sqrt{-3x - 7}} = \boxed{-\frac3{2\sqrt{-3x-7}}}[/tex]
What would be the equation of the cannonball’s path if it was launched with the same velocity, but from the ground instead?
The quadratic equation cannonball’s path if it was launched with the same velocity, but from the ground instead would be given by:
[tex]h(t) = -4.9t^2 + 19.8t[/tex]
What is the quadratic equation for the height of a projectile?Considering the gravity, it is modeled by:
[tex]h(t) = -4.9t^2 + v_0t + h_0[/tex]
In which:
[tex]v_0[/tex] is the initial velocity.[tex]h_0[/tex] is the initial height.For this problem, we want:
The same initial velocity, hence [tex]v_0 = 19.8[/tex].Launched from the ground, hence [tex]h_0 = 0[/tex].Then, the equation is:
[tex]h(t) = -4.9t^2 + 19.8t[/tex]
More can be learned about quadratic equations at https://brainly.com/question/24737967
Part A. If I wash 24 dogs and used 4 bottles of shampoo, How many dogs can I wash with only 1 bottle of shampoo?
Part B. How many bottles of shampoo should I order if I expect to wash 30 dogs this week?
#2
Dogs=30
Total shampoos=30/6=5If f(x) = 9x - 8 and g(x) = x°, what is (gºf)(1)?
Enter the correct answer
Answer: (x°)° * (9x-8)*1
Step-by-step explanation: With the given functions, we can simplify this easily. g(x) = x°, so then multiplying the two functions together, is easy since they are simple equations. You get (x°)° * (9x-8) * 1 (since 1 was apart of the g function equation)
Solve the proportion for x.
x/15 = x+3/24
Answer:
Step-by-step explanation:
15(x + 3) = 24x
15x + 45 = 24x
45 = 9x
5 = x
1. 660
2. 330
3. 275
4. 550
Answer:
330m²Step-by-step explanation:
The area of a trapezoid is found using the formula, A = ½ (a + b) h
so
½(41 + 19) × 11 =
½ 60 × 11 =
30 × 11 =
330 m²
Factor x3 x2 x 1 by grouping. What is the resulting expression?.
The factors of the equation [tex]\rm x^3+x^2+x+1\\\\[/tex] are [tex]\rm (x^2 +1)(x +1)[/tex].
What are the factors?
A factor is a number that divides another number leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.
Given
The equation is;
[tex]\rm x^3+x^2+x+1[/tex]
The factors of the equation are given by;
[tex]\rm = x^3+x^2+x+1\\\\ = x^2(x +1) + 1( x +1 )\\\\= (x^2 +1)(x +1)[/tex]
Hence, the factors of the equation [tex]\rm x^3+x^2+x+1\\\\[/tex] are [tex]\rm (x^2 +1)(x +1)[/tex].
To know more about factors click the link given below.
https://brainly.com/question/2315299
Solve cos theta=- sqrt (3)/2 on [0, 2pi) Write the first solution or lowest on [0, 2pi) . Round to the nearest hundredth .
Answer:
2.62 radians
Step-by-step explanation:
The angle is found from its cosine using the inverse cosine function.
cos(θ) = (-√3)/2
θ = arccos((-√3)/2) = 5π/6 ≈ 2.62 . . . radians
6. It takes one hour longer to fill the empty pool when only the input pipe is open than it takes to empty the filled pool when only the drain pipe is open. It takes 72 hours to empty the filled pool when both pipes are open. How many hours does it take to fill the empty pool when only the input pipe is open
Using the together rate, it is found that it takes 144.5 hours to fill the empty pool when only the input pipe is open.
What is the together rate?It is the sum of each separate rate.
In this problem:
The input's pipe rate is 1/x.The drain's pipe rate is of 1/(x-1).The together rate is of 1/72.Hence:
[tex]\frac{1}{x} + \frac{1}{x - 1} = \frac{1}{72}[/tex]
[tex]\frac{x - 1 + x}{x(x - 1)} = \frac{1}{72}[/tex]
[tex]x^2 - x = 144x - 72[/tex]
[tex]x^2 - 145x + 72 = 0[/tex]
Which is a quadratic equation with coefficients a = 1, b = -145, c = 72, hence:
[tex]\Delta = b^2 - 4ac = (-145)^2 - 4(1)(72) = 20737[/tex]
[tex]x_1 = \frac{145 + \sqrt{20737}}{2} = 144.5[/tex]
[tex]x_2 = \frac{145 - \sqrt{20737}}{2} = -0.5[/tex]
Time is a positive measure, hence, it takes 144.5 hours to fill the empty pool when only the input pipe is open.
More can be learned about the together rate at https://brainly.com/question/25159431
The cable company withdraws $67 per month from Denise's checking account
for automatic bill payment. There was $250.75 in Denise's checking account at
the beginning of the year, and no other deductions or additions were made to
the account. How much money is in the account after two months?
Answer: 116.75
Step-by-step explanation: Since $67 is being withdrawn from her checking account EACH month the equation would be $250.75 - 67x.
We already know the value of "x" (2) so we plug that in.
250.75 - 67(2)
Now we multiply and subtract.
250.75 - 134
116.75
if you want to make 1/3 pound hamburger how many can you make from 2 1/2 pounds of ground beef
Answer:
3
Step-by-step explanation:
2 1/2 pounds is equal to one pound.
If you want to make 1/3 pound hamburgers you can make 3 from 1 pound ground beef.
1/3+1/3+1/3=1
4c divided by 6 + 2a for c= 4 for a =5
Given expression:
[tex] \sf4c \div 6 + 2a[/tex]
Given values:
a = 5c = 4Rule we are going to use:
BODMAS
B = BracketsO = Of OrderD = DivisionM = Multiplication A = AdditionS = SubtractionSolution:
Substitute the variables with their given values and solve using the BODMAS rule[tex] \tt4 \times 4 \div 6 + 2 \times 5[/tex]
[tex] \tt \: \frac{ \cancel4 \times 4}{ \cancel6} + 10[/tex]
[tex] \tt \: \frac{2 \times 4}{3} + 10[/tex]
[tex] \tt \frac{8}{3} + 10[/tex]
[tex] \boxed{ \bf \: \frac{38}{3} }[/tex]
The recipe uses 5/8 oz of simple syrup for 1/4 pint of tea. Find the unit rate in oz per pint
Answer:
The recipe uses 5/8 oz of simple syrup for 1/4 pint of tea. Find the unit rate in oz per pint
Step-by-step explanation:
The recipe uses 5/8 oz of simple syrup for 1/4 pint of tea. Find the unit rate in oz per pint
These questions are so confusing. Please help. You get 15 points.
Answer:
13,260.22 mm²
Step-by-step explanation:
the area of the shaded region is the area of the larger circle minus the area of the smaller one
to find the area of the larger we will use half of 62 plus 41 as the radius:
Area (larger) = 3.14(72)²
= 16,277.76
Area (smaller) = 3.14(31)²
= 3,017.54
Area (shaded region) is 16277.76 - 3017.54 = 13,260.22 mm²
Find the value of x
Answer:
85 degrees
Step-by-step explanation:
7: 180 - 52 - 43 = 85 degrees
Find the values of x and y. Write your answers in simplest form
Answer:
x = 12√3
y = 12
Step-by-step explanation:
=>> x/24 = perpendicular/hypotenuse
=>> x/24 = sin 60°
=>> x/24 = √3/2
=>> x = 24√3/2
=>> x = 12√3
now the value of y
=>> y/24 = cos 60°
=>> y/24 = 1/2
=>> y = 12
Use given triangle to fill in the blank.
PLEASE HELP ME!!!!!!!!!!!!
Answer:
the answer is a/b
Step-by-step explanation:
Answer:
a/b
Step-by-step explanation:
tan A = opposite side/ adjacent side
HELP PLEASE JUST THIS QUESTION/ ILL GIVE BRAINLIEST IF CORRECT
Answer:
She earned $288 this week
Step-by-step explanation:
x = 12
Work = 2(12) + 8
24 + 8 = 32 hours
Earned = (12) - 3 = 9 per hour
32 × 9 = $288
I hope this helps!
I WILL GIVE BRAINLIEST PLEASE ANSWER CORRECTLY Mr. and Mrs. Bailey hope to send their son to college in eleven years. How much money should they invest now at an interest rate of 9% per year, compounded continuously, in order to be able to contribute $7500 to his education? Do not round any intermediate computations, and round your answer to the nearest cent.
Mr. and Mrs. Bailey need to invest $2906.50 for eleven years so as to be able to contribute $7500 their son education.
Compound interestCompound interest is given by:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where A is the final amount, P is principal, r is the rate and n is the times compounded per year, t is the time
Given that t = 11, n = 1, r = 9% = 0.09, A = $7500 . Hence:
[tex]7500=P(1+\frac{0.09}{1} )^{1*11}\\\\P=\$2906.50[/tex]
Mr. and Mrs. Bailey need to invest $2906.50 for eleven years so as to be able to contribute $7500 their son education.
Find out more on Compound interest at: https://brainly.com/question/24924853
How many triangles can be formed with segments measuring 6 1/4 in., 10 5/8 in., and 4 1/3 in.?
from the drop-down menu to correctly complete the statement. (Choose...) can be formed from these segments.
Options : No triangles, One triangle, More than one triangle
PLS HELP I SUCK AT MATH
Answer:
One triangle can be constructed
Step-by-step explanation:
I took the test hope this helps
Answer:
the answer is NO TRIANGLES
Step-by-step explanation:
i got the answer wrong, and this was the right answer. i wouldn't lie!
The conditional relative frequency table was generated using data that compares the number of boys and girls who pack their lunch or buy lunch from the cafeteria. A 4-column table with 3 rows. The first column has no label with entries boys, girls, total. The second column is labeled cafeteria with entries 0. 44, 0. 4, 0. 42. The third column is labeled pack with entries 0. 56, 0. 6, 0. 58. The fourth column is labeled total with entries 1. 0, 1. 0, 1. 0. 35 total girls and 50 total boys were surveyed. How many students bought their lunch from the cafeteria? Round to the nearest whole number. Students.
Answer:
734y 87tt795795708 679 ft
Answer:
I don't know
Step-by-step explanation:
Hey guys so I am struggling on this one question and I need your guys help!
6/7 x 2 14/27 = ???
Answer:
[tex]\sf 2\frac{10}{63}[/tex]
steps:
[tex]\sf \frac{6}{7} *2\frac{14}{27}[/tex]
convert into mixed fraction
[tex]\sf \frac{6}{7}\cdot \frac{68}{27}[/tex]
multiply both fractions
[tex]\sf \frac{6\cdot \:68}{7\cdot \:27}[/tex]
simplify the fraction
[tex]\frac{408}{189}[/tex]
final answer in improper fraction
[tex]\sf \frac{136}{63}[/tex]
convert in mixed fraction
[tex]\sf 2\frac{10}{63}[/tex]
When a = 5 and b = - 3, the value of (a-b)/(a +b) is
Answer: 4
Step-by-step explanation: first plug the points into the equation
(5+3)/(5-3)
you switch the negative to a positive in the first part of the equation because 2 negatives equal a positive
Now, (5+3)/(5-3)= (8)/(2)
Finally 8/2=4
hope this helps
Answer:
8,-2
Step-by-step explanation:
1,5,9,13 generalize the pattern by finding the nth term
Answer:
an= a1 +(n-1)*4
Step-by-step explanation:
a1 = 1, a2 =5, a3 = 9, a4= 13,... an= ?
we see that each term is getting bigger so usually that will happen because of addition or multiplication-in our case add 4 to previous term
a1 = 1,
a2 = a1+(2-1) 4 = 1+4 = 5,
a3 = a1 + (3-1)*4 = a1+8 = 1 + 8 = 9,
a4= a1 + (4-1)*4 = a1 + 12 = 1+12= 13,
...
an= a1 +(n-1)*4
A spotlight is mounted on a wall 7.4 feet above a security desk in an office building. It is used to light an entrance door 9.3 feet from the desk. To the nearest degree, what is the angle of depression from the spotlight to the entrance door?
51 degrees
53 degrees
37 degrees
39degrees
Answer:
I believe its 53 degrees
Step-by-step explanation:
The hight
Answer:
Angle of depression = 51° (to nearest degree)
Step-by-step explanation:
Using tan trig ratio (where x is the angle, O is the side opposite the angle and A is the side adjacent to the angle)
[tex]tan(x)=\dfrac{O}{A}=\dfrac{9.3}{7.4}=\dfrac{93}{74}\\\\\implies x=\arctan\left(\dfrac{93}{74}\right)=51.49 \textdegree[/tex]
So angle of depression is 51.49° (to nearest hundredth)
To solve the system of equations 6x – 4y = 9 and
3x + 12y = 5, which system of equations has the
same solution as the system?
Answer:
4x-2y=6
Step-by-step explanation:
i believe this works
If Carly has 3 apples and she eats 2 of them how many apples does she have left
Answer:
SHE HAS ONLY HAS 1 LEFT
Step-by-step explanation:
3 - 2 = 1
Can you guys please help me slove this question? 6w-15w-19=91
Answer:
-12.2 rounded
Step-by-step explanation:
Combine like terms.
Move constants to one side of equal sign
divide
6w-15w-19 =91 combine like terms
-9w-19 = 91 add 19 to both sides
-9w = 110 divide by -9
w = -12.2 repeating or 12.2
