Answer:
p = 2100e^0.3t , t=6 years
Step-by-step explanation:
Part A:
A truck delivers 32 cases of soup to a store . Each case holds 8 cans of soupThe store manager plans to place 9 cans on each shelf. What is the fewest number of shelves the manager will need for all of the cans of soup delivered by the truck?
Part B:
The same truck delivers 9 cases of canned corn. Each case holds 36 cans of When the cases are unpacked 15 of the cans are missing. The store manager places 7 cans of corn on cach shelf. What is the fewest number of shelves the manager will need for all of the cans of corn delivered by the truck?
Write out the equations that represent Part A and Part B.
soupsoupsoup soupsoupsoup
7
Find the value of x to the nearest tenth.
tan x = 5
78.9
78.7
0.1
Answer:
x = 5 to the nearest tenth = 0.0
Step-by-step explanation:
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : x-5 = 0
Add 5 to both sides of the equation :
x = 5
Answer: x = 5 nearest tenth = 0.0
Rounded to the nearest 0.1 or
the Tenths Place.
Hope this helps.
Answer:
x = 5 to the nearest tenth = 0.0
Step-by-step explanation:
The diagram shows 3 vertices of a parallelogram.
Plot the 3 possible points for the 4th vertex.
Answer:
(-1, -1), (-3,5), (5, -3)
Step-by-step explanation:
(-1, -1) is the 4th vertex.
Which is the required vertex ?Let, 4th vertex is (x, y)
Given vertices of parallelogram are (-2. 2), (1, 1), (2, -2)
Here, (-2. 2) & (2, -2) are opposite vertices.
So, Midpoint of diagonals = [tex][(\frac{-2+2}{2}) ,(\frac{2-2}{2})][/tex] = (0, 0)
This is also midpoint of diagonal with vertices (1, 1) & (x, y)
So, (1+x)/2=0 ⇒ x = -1
& (1+y)/2=0 ⇒ y = -1
∴ 4th vertex is (-1, -1)
Learn more about parallelogram here :
https://brainly.com/question/3851698
#SPJ2
Determine the intercepts of the line.
Screenshot:
y intercept = 0 , 2.5
x intercept = 3.5 , 0
Answer:
y- intercept = (0, 2.5)
x- intercept = (3.5, 0)
Step-by-step explanation:
y- intercept = (0, 2.5)
x- intercept = (3.5, 0)
What is the domain of the function Y= In(x+ 2)?
x <-2
XX-2
x <2
X> 2
Answer:
x > -2
Step-by-step explanation:
Domain is the range is of all possible value for x in y= f(x) .
Domain of logarithmic function log(x) is given by x > 0.
It means any value can greater than x can be plugged in place of x in function log(x).
In the given function Y= In(x+ 2). In place of x there x+2 .
Thus x+2> 0
subtracting -2 from both sides
=> x+2 -2> 0-2
=> x > -2
Thus, domain of the function Y= In(x+ 2) is x > -2
I really need help someone please help
Answer:
5
Step-by-step explanation:
5 12 13 triple
Answer:
r =5
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2
The legs are r and 12
The hypotenuse is (8+r)
r^2 + 12^2 = (8+r)^2
r^2 + 144 = 64 + r^2 +16r
Subtract r^2 from each side
144 = 64 +16r
Subtract 64 from each side
144-64 = 16r
80 = 16r
Divide each side by 16
80/16 = 16r/16
5 =r
Find the roots. 5x^2-3=77
Answer:
3.2?? I am kinda confused
Step-by-step explanation:
Select the linear equation represented in the graph
a) y= 2x+3
b) y= 1/2x+3
c) y= 1/2x-3
d) y=-2x-3
Answer:
B
Step-by-step explanation:
Since the line in the picture rises 1 unit for every 2 units it moves to the right, it has a slope of 1/2. Also, since it intersects the y axis at (0,3), the y intercept is 3. Therefore, the equation of the line is y=1/2x+3, or answer choice B. Hope this helps!
Find the median of the data in the pictograph below.
1 toy whales
luca has 3 toy whales
niklas has 3 toy whales
finn has 5 toy whales
lena has 3 toy whales
please help what is the median im timed!
Explanation:
this is how you can find out the median value:
step 1: select the 2 numbers in the middle.
step 2: add the 2 numbers
step 3: once you get the sum of the 2 numbers, divide them by 2
then, you can get you median value!
Answer:
5+3=8
8 divided by 2 = 4
therefore, the median value would be 4.
hope this helps!
#zunairazrydhangirl1
for more help check out khanacademy.org , it really helps in my opinion!
Use the function y = 5x + 1. Find each output. x = 3
Answer:
Step-by-step explanation:
What is 17x*14x-10+24?
Answer:
238 x^2+14
Step-by-step explanation:
Factor out 14 from the expression.
Solution= 14( 17x^2+1)
1. Diego has 3 times as much books as han. what's the formula?
2. two-fifths of vegetables in Priya garden are tomatoes. What's the formula?
can you answer both of them very appreciated if u answer it :) I need the answer quick.
Answer:
1. 3x=y Diego is y han is x
Step-by-step explanation:
not sure about 2nd one sorry
The graphs below have the same shape. What is the equation of the blue
graph?
G(x) =
A. G(x) = x^3+ 3
B. G(x) = x^3 -3
C. G(x) = (x-3)^3
D. G(x) = (x + 3)^3
Answer:
C
Step-by-step explanation:
The tens digit of a certain number is five more than the units digit. The sum of the digits is 9. Find the number.
Answer:
Number = 72
Step-by-step explanation:
unit digit--- x
tens digit--- x + 5
x + x + 5 = 9
2x + 5 = 9
2x + 5 - 5 = 9 - 5
2x = 4
x = 2
2 + 5 = 7
tens digit = 7
number = 72
72 is the 2-digit number
Step-by-step explanation:
hope it helps~
What is the slope of the line perpendicular to the y
2 - 9.
Answer:
5
Step-by-step explanation:
perpendicular slopes multiply to -1
lets say m is the missing slope
-1/5*m=-1 so m=5
Prove the divisibility of the following numbers: d 45^45·15^15 by 75^30
Step-by-step explanation:
45⁴⁵ 15¹⁵
(3²·5)⁴⁵ (3·5)¹⁵
(3⁹⁰ 5⁴⁵) (3¹⁵ 5¹⁵)
3¹⁰⁵ 5⁶⁰
3⁷⁵ 3³⁰ 5⁶⁰
3⁷⁵ (3·5²)³⁰
3⁷⁵ 75³⁰
Convert the decimal 0.92 to a fraction.
Answer:
23/25
Step-by-step explanation:
Answer:
23/25
Step-by-step explanation:
1. Evaluate 3y - 4 for y =5
2. 65 + x = 99 x = ?
3. Find the product. 38.7 *21
4. Which value satisfies the equation? 9x + 3 = 30 *
-2
-3
-4
Answer:
1. Evaluate 3y - 4 for y =5
3*(5)-4=15-4=11
2. 65 + x = 99 x = ?
65+x=99
x=99-65
x=34
3. Find the product. 38.7 *21
38.7*21=812.7
4. Which value satisfies the equation? 9x + 3 = 30
The right value for x would be:
9x+3=30
9x=30-3
9x=27
x=27/9=3
Step-by-step explanation:
what does d=18in mean
Answer:
The diameter measures 18 inches.
Step-by-step explanation:
The variable 'd' usually stands for diameter in math.
Answer:
see below
Step-by-step explanation:
d = 18 inches
This means the diameter of the circle is 18 inches
From one side of the circle to the other side of the circle, going through the center is 18 inches
Which expressions are equivalent to (5g+3h+4)\cdot2(5g+3h+4)⋅2left parenthesis, 5, g, plus, 3, h, plus, 4, right parenthesis, dot, 2 ?
Choose all answers that apply:
Choose all answers that apply
A
(5g+3h)\cdot8(5g+3h)⋅8left parenthesis, 5, g, plus, 3, h, right parenthesis, dot, 8
(Choice B)
B
(5g+3h)\cdot6(5g+3h)⋅6left parenthesis, 5, g, plus, 3, h, right parenthesis, dot, 6
(Choice C)
C
None of the above
Answer:
C None of the above
Step-by-step explanation:
The expression
(5g+3h+4)⋅2
can be expanded using distributive property as follows:
5g⋅2 + 3h⋅2 + 4⋅2 =
= 10g + 6h + 8
option A expression
(5g+3h)⋅8
can be expanded using distributive property as follows:
5g⋅8+3h⋅8 =
= 40g + 24h
which is different from 10g + 6h + 8
Option B expression
(5g+3h)⋅6
can be expanded using distributive property as follows:
5g⋅6+3h⋅6 =
= 30g + 18h
which is different from 10g + 6h + 8
Answer:
C. None of the above
Write these numbers in words (a) 5610 (b) 29052 (c) 312000 (d) 1800000 (e) 5138000 () 6243821
Answer:
whats the question agaiin sorry
Step-by-step explanation:
Answer:
5610 - Five thousand six hundred ten
29052 - Twenty nine thousand and fifty two
312000 - Three hundred twelve thousand
1800000 - one million eight hundred thousand
5138000 - Five million one hundred thirty eight thousand
6243821 - Six million two hundred forty three thousand eight hundred twenty one
Question 3 (Essay Worth 4 points)
Find the exact value by using a half-angle identity.
tan (7π/8)
Answer:
[tex]\displaystyle \tan \left(\frac{7\pi}{8}\right) = -\left(2 + \sqrt{2}\right)[/tex].
Step-by-step explanation:
Assume that the following are known:
The tangent half-angle identity: [tex]\displaystyle \tan\left(\frac{\theta}{2}\right) = \frac{1 - \cos(\theta)}{\sin(\theta)}[/tex].The sine and cosine of [tex]\displaystyle \frac{\pi}{4}[/tex]: [tex]\displaystyle \sin\left(\displaystyle \frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}[/tex], [tex]\displaystyle \cos\left(\displaystyle \frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}[/tex].The trigonometric identities for the sine and cosine of supplementary angles: [tex]\sin(\theta) = -\sin(2\pi - \theta)[/tex] and [tex]\cos(\theta) = \cos(2\pi - \theta)[/tex].The angle in question [tex]\displaystyle \frac{7 \pi}{8}[/tex] isn't very well-known. However, note that:
[tex]\displaystyle \frac{7 \pi}{8}[/tex] is equal to one-half times the angle [tex]\displaystyle \frac{7\pi}{4}[/tex];[tex]\displaystyle \frac{7\pi}{4}[/tex] is equal to [tex]2\pi[/tex] minus [tex]\displaystyle \frac{\pi}{4}[/tex], which is an angle with known sine and cosine values.Since the angle [tex]\displaystyle \frac{7\pi}{4}[/tex] is equal to [tex]\displaystyle 2\pi - \frac{\pi}{4}[/tex], its sine and cosine can be found from the sine and cosine of [tex]\displaystyle \frac{\pi}{4}[/tex] using the trigonometric identities [tex]\sin(2\pi - \theta) = -\sin(\theta)[/tex] and [tex]\cos(2\pi - \theta) = \cos(\theta)[/tex]:
[tex]\displaystyle \sin\left(\frac{7\pi}{4}\right) = -\sin\left(2\pi - \frac{7\pi}{4}\right) = - \sin\left(\frac{\pi}{4}\right) = - \frac{\sqrt{2}}{2}[/tex].[tex]\displaystyle \cos\left(\frac{7\pi}{4}\right) = \cos\left(2\pi - \frac{7\pi}{4}\right) = \cos\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}[/tex].Apply the tangent half-angle identity to find the tangent of [tex]\displaystyle \frac{7 \pi}{8}[/tex]:
[tex]\begin{aligned}\tan\left(\frac{7\pi}{8}\right) &= \tan\left(\frac{7\pi/4}{2}\right) = \frac{1 - \cos(7\pi/4)}{\sin(7\pi/4)} \\ &= \frac{1 - \left(\sqrt{2}/2\right)}{\sqrt{2} / 2} = \frac{2 - \sqrt{2}}{\sqrt{2}} = \frac{\left(\sqrt{2}\right)^2 - \sqrt{2}}{\sqrt{2}} = \sqrt{2} - 1 \end{aligned}[/tex].
Which graph shows y= (-5x) -4?
Answer: Your answer is A. Hope this helps!
Answer:
A
Step-by-step explanation:
Find the distance between the two points.
us
(-4,- 9) and (1,3)
The distance is ?
Plzz hell me
Answer:
The distance between the two points would be 13 :)
What is the product of 5.2×[tex]10^{4}[/tex] and 1.3×[tex]10^{-2}[/tex]?
A. 6.76×[tex]10^{8}[/tex]
B. 6.76×[tex]10^{2}[/tex]
C. 6.76×[tex]10^{-2}[/tex]
D. 6.76×[tex]10^{-8}[/tex]
Answer:
6.76 × 10²
Step-by-step explanation:
5.2 × [tex]10^{4}[/tex] × 1.3 × [/tex]10^{-2}[/tex]
= 5.2 × 1.3 × [tex]10^{2}[/tex]
= 6.76 × 10²
Answer:
B. 6.76 x 10²
Step-by-step explanation:
5.2 × [tex]10x^{4}[/tex] (1.3 × [tex]10x^{-2}[/tex]) Subtract the exponents to get a common exponent
5.2 x 1.3 x 10² Multiply
6.76 x 10²
Inge and Oleg were helping their mom clear rocks from a pasture using a wheelbarrow. If each load of rocks they carried to the fence row
weighed an average of 100 pounds, how many loads did it take to move a ton of rock? (recall: I ton = 2000 lbs.)
Answer:
20 loads
Step-by-step explanation:
2000 divided by 100 is 20
Answer: 20
Step-by-step explanation:
1 ton = 2000 lb, 1 load = 100 lb 2000/100 = 20
Which algebraic expression represents the phrase “four times a number”?
4 + c
c - 4
4 divided by c
4c
Answer:
4c (last option)
Step-by-step explanation:
4c is equivalent to 4 times c, or 4 * c, c representing a number :) hope this helps!
Answer:
4c
Step-by-step explanation:
if you have four times a number, that means that there are 4 of one number
say the number is "c"
c c c c
there are 4 c's that means 4*c = 4c
the coefficient "4" before the letter c just means how many c's there are
What are some real world examples where percentages are used? How could you use percentages in your daily life?
Answer:
Applying them to sales and discounts.
Step-by-step explanation:
To get onto the Honor Roll, Max has to get an average in math of at least a 90.
For five exams, he has an average of 88. What must he score on the next exam
to bring his average up to exactly 90?
Answer:
He needs to score 100 in his next test.
Step-by-step explanation:
The average of the exams is given by the sum of each exam score divided by the number of exams he took, therefore his prior average is:
[tex]\text{prior average} = \frac{\text{prior sum of grades}}{\text{prior number of tests}}[/tex]
Since he took five exams and had an average of 88, then his prior sum of grades is:
[tex]\text{prior sum of grades} = 88*5 = 440[/tex]
He needs to score "x" in his next test in order to have an 90 average, therefore if we add "x" to the sum of his grades and add 1 to the prior number of tests then equal that to 90, we can solve for "x". We have:
[tex]\text{desired average} = \frac{\text{prior sum of grades} + x}{\text{prior number of texts}+1}\\90 = \frac{440 +x}{6}\\440 + x = 90*6\\x = 540 - 440\\x = 100\\[/tex]
He needs to score 100 in his next test.
Please try to answer it if you want to :)
no
i have no idea what to do
Answer:
Step-by-step explanation: