Answer:
the letter " a " because uts just making the sentence a run on
Select the correct answer. Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel's savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin's account, at the same time, is modeled by function k. j(x) = 25 + 3x k(x) = 15 + 2x Which function correctly represents how much more money, in dollars, is in Joel's account than in Kevin's account x weeks after the start of the year? O A. (j − k)(x) = 40 + 5x (j − k)(x) = 40 + x (j-k)(x) = 10 + 5x (j-k)(x) = 10 + x O B. C. O D. Reset dtry Next
The correct answer is (j - k)(x) = 10 + x.
To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).
(j - k)(x) = (25 + 3x) - (15 + 2x)
= 25 - 15 + 3x - 2x
= 10 + x
This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.
Therefore, the correct function is (j - k)(x) = 10 + x.
for such more question on Kevin's account
https://brainly.com/question/26866234
#SPJ11
Referring to the figure, the two rectangles shown have
equal areas. Find the value of x.
Answer:
x = 2
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
given the rectangles have equal areas then equating the two areas gives
4x × 9 = 4(6x + 6) , that is
36x = 24x + 24 ( subtract 24x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
What is the perimeter of a square with sides 2.5 mm long?
A 7.5 mm
B 10 mm
C 2.5 mm
D 5 mm
Answer:
the perimeter of a square with sides 2.5 mm long is b.10 mm.
PLEASE HELP AND SHOW WORK
The amount of fabric required is 400.551 ft².
We have,
CB= 8 feet
CF= 13 feet
AM = 8 feet
Using Pythagoras
AC² = AM² + CM²
AC = √64+16 = √80 = 4√5 feet
Now, the formula for Triangular prism is
= (Sum of three sides of triangle face)l + base area
= (4√5 + 4√5 + 8)13 + 8 x 8
= 104√5 + 104 + 64
= 104√5 + 168
= 232.551 + 168
= 400.551 ft²
Learn more about surface Area here:
https://brainly.com/question/29298005
#SPJ1
Active
Multiplying a Binomial by a Binomial
Warm-Up
BRES
Multiply: (3x - 5)(-x+4)
Applying the distributive property, the expression becomes (3x)(-x) + (3x)(4) + (-5)(-x) + (-5)(4).
What is the simplified product in standard form?
1-34
7
Given:
Multiply: \((3x-5)(-x+4)\).
To find:
The simplified product in standard form.
Solution:
We have,
\((3x-5)(-x+4)\)
Applying the distributive property, the expression becomes
\(=(3x)(-x)+(3x)(4)+(-5)(-x)+(-5)(4)\)
\(=(-3x^2)+12x+5x+(-20)\)
On combining like terms, we get
\(=-3x^2+(12x+5x)-20\)
\(=-3x^2+17x-20\)
Therefore, the simplified product in standard form is \(-3x^2+17x-20\).
An airplane uses 79% of a tank of fuel to fly 1,496 miles. If a full tank holds 996 gallons of fuel, how many gallons would plane use to fly 3,016 miles.
Answer:
jcjdhuuuehfhvhcuuccdhjeicbw
Step-by-step explanation:
baj8yvyruf
Find tan x in the triangle pictured above
Answer:
Hi Marie, use the reminder
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
Tan(x) = Opp / Adj
Tan(x) =32 / 24
X = arcTan(32/24)
X = 53.13°
Find the area of each figure. Round your answer to 2 decimal places if required.
7ft, 8ft, 11ft, 20ft
The area of the rectangular shape is 77 square ft and the area of the trapezoidal shape is 154 square ft.
What is an area?The size of a region on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.
The area of the rectangular shape is:-
Area = Length x Width
Area = 7 x 11
Area = 77 square ft
The area of the trapezoid is:-
Area = 1/2 x h x ( a + b )
Area = 1/2 x 11 x ( 8 + 20 )
Area = 154 square ft
Therefore, the rectangular shape's area is 77 square feet, while the trapezoidal shape's area is 154 square feet.
To know more about an area follow
https://brainly.com/question/25292087
#SPJ1
The waiting time W for accessing one record from a computer database is a random variable uniformly distributed between 0 and 28 milliseconds. The read time R for moving the information from the disk to the main memory is 7 milliseconds. The random variable X milliseconds is the total access time (waiting time + read time) to get one block of information from the disk. Before performing a certain task, the computer must access 6 different blocks of information from the disk. (Access times for different blocks are independent of one another.). Compute the followings:
a. E[X]
b. Vae[X]
c. E[A]
Solution :
Let
Waiting time for accessing one record = W
Read time for moving the information = R
Total time for accessing to get one block of information = X
So, the random variable X is defined as :
X = W + R
= W + 7
a). Calculating E(X)
E(X) = E(W+7)
= E(W) + 7
\($=\int_{0}^{28}\frac{1}{28-0}w dw +7$\)
\($=\frac{1}{28}\int_{0}^{28}w dw +7$\)
\($=\frac{1}{28}\left[\frac{w^2}{2}\right]_0^{28}+7$\)
\($=\frac{1}{56}\left[28^2\right]+7$\)
\($=\frac{28}{2}+7$\)
= 14 + 7
= 21
b). Calculating Var(X)
V(X) = V(W+7)
= V(W)+0
= V(W)
= \($E(W^2)-[E(W)]^2$\)
\($=\int_0^{28}\frac{1}{28}w^2 dw-[14]^2$\)
\($=\frac{1}{28}\left[\frac{w^3}{3}\right]_0^{28}-196$\)
\($=\frac{1}{28\times 3}\times 28^3-196$\)
\($=\frac{28\times 28}{3}-196$\)
= 65.33
c). Considering A is the random variable that can be defined as follows:
A = 6(W+7)
=6W + 42
So calculating E(A)
E(A) = E(6W + 42)
= E(6W) +42
= 6E(W) + 42
= 6(14) + 42
= 84 + 42
= 126
Choose the best graph that represents the linear equation:
-x = 2y + 1
The line slants downward from left to right, indicating that as x increases, y decreases.
The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1
Dividing both sides by 2:y = (-1/2)x - 1/2
The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).
Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.
for more search question downward
https://brainly.com/question/29330028
#SPJ8
At the beginning of May. Alice's checking account balance was $752. She wrote checks for $142, $37 and $172. She deposite $40, $80 and $35. What was her balance at the end of the month?
Answer:
$556
Step-by-step explanation:
$752 - $142 = $610
$610 - $37 = $573
$573 - $172 = $401
$401 + $40 = $441
$441 + $80 = $521
$521 + $35 = $556
Writing checks takes money out so you subtract.
Depositing money means putting in which means you add.
Order from least to greatest .357 , 1.02, .80 , .002, .05 , .40
Answer:
least to greatest:
.002
.05
.357
.40
.80
1.02
Step-by-step explanation:
Answer:
.002, .05, .357, .40, .80, 1.02
Step-by-step explanation:
Which graph has the same end behavior as f (x) = StartFraction negative 6 x Superscript 5 Baseline minus x cubed + 7 x Over 2 x squared + 1 EndFraction
The graph with the same end behavior is the one in option C.
Which graph has the same end behavior?The given function has a numerator with a negative leading coefficient and an odd degree, while the denominator is a quadratic polynomial.
It will mean that as x tends to negative infinity, the function tends to infinity, and as x tends to positive infinity, the function tends to negative infinty, that is the end behavior of the given function.
The graph with that end behavior is the same one than in option C.
Learn more about end behavior:
https://brainly.com/question/1365136
#SPJ1
Which of the following would you see on a circle graph?
OA. Percentages
OB. Bars
C. Points
OD. A y-axis
A, percentages
You would see percentages on a circle graph, because it's how many parts of the whole that they take up.
Happy to help, have a great day! :)
The water level is a number that indicates whether the level is above or below normal using positive or negative values. After a heavy storm, the water level of a river is −3.7 feet. This level is 1/2 times 2.5 feet more than the previous water level.
What was the previous water level?
A. -18.5
B. -9.9
C. -4.9
D. -4.3
Note: I think it is -4.9. If you have the actual right answer please leave it down below. Thanks.
Answer:
I also believe it is -4.9 but I may be mistaken
Step-by-step explanation:
5/4÷1/3 please help
Answer:
3.75 Or 15/4
Answer:
15/4 or 3.75
Step-by-step explanation:
\(\frac{5}{4} : \frac{1}{3} = \frac{5}{4} . 3 = \frac{5 . 3}{4} = \frac{15}{4}\)
Write an equation of the line with a slope of -4 and a y-intercept of 2
What is the probability that a student chosen at random has a GPA less than 3.00?
Answer:
1200/2000
Step-by-step explanation:
There are 1200 students total that have a GPA less than 3.00. That means that out of 2000 students, 1200 of them have a GPA less than 3.00, hence 1200/2000 chance that a student is picked at random with less than a 3.00.
Which of the following theorems verifies that CRV BYU?
A.
AA
B.
HL
C.
LL
D.
HA
Answer:
LL
Step-by-step explanation:
We have two right triangles
The two legs are congruent
We can use the LL congruence theorem
Calculate the percent
A psychologist has developed a test called “WETHIC” to measure the work ethic in a firm’s
workers. The test scores approximate a Normal distribution with a mean of 70 and a standard
deviation of 20. (note: this step involves manual calculation and does not require any SPSS work).
For each question, your answer should take the form of a complete sentence.
1. Convert a WETHIC score of 79 into a z-score and interpret this z-score.
2. Convert a WETHIC score of 62 into a z-score and interpret this z-score.
3. What proportion of workers will have a WETHIC score that is below 79?
4. What proportion of workers will have a WETHIC score that is below 62?
5. What proportion of workers will have a WETHIC score that is above 79?
6. What portion of workers will have a WETHIC score that is above 62?
The WETHIC score of 79 into a z-score is 0.33.
A WETHIC score of 62 into a z-score is 0.80.
The proportion of workers that will have a WETHIC score that is below 79 is 63%.
The proportion of workers that will have a WETHIC score that is below 62 is 21%.
How to calculate the value1) Z score = (79-74)/15 = 0.33 , it means score is 0.33 standard deviations above the mean
2) Z score = (62-74)/15 = -0.80 , it means score is 0.80 standard deviations below the mean
3) P(X<79)
= P(Z<0.33)
= 0.6293
d) P(X<62)
= P(Z<-0.80)
= 0.2119
Learn more about normal distribution on;
https://brainly.com/question/4079902
#SPJ1
Expand and simplify (2x + 1)(x + 3)
expand and simplify (2x + 1)(x + 3)
answer : \(2x^2+7x+3\)
-
explanation : expand the polynomial using the FOIL method.
-
FOIL : a technique for distributing two binomials. the letters FOIL stand for first, outer, inner, last. first means multiply the terms which occur first in each binomial, outer means multiply the outermost terms in the product, inner means multiply the innermost terms, and last means multiply the terms which occur last in each binomial.
-
step 1 : multiply each term in the first parentheses by each term in the second parentheses (FOIL)
ex : \(2x * x+2x * 3+x+3\)
step 2 : calculate the product
ex: \(2x^2+2x * 3+x+3\)
step 3 : calculate the product
ex: \(2x^2+6x+x+3\)
step 4 : collect like terms
ex: \(2x^2+7x+3\)
-
solution : \(2x^2+7x+3\)
hope this helps !
- audrey ♡
4 x 12 = 6 x n.
4
6
8
12
Answer:
The answer is 8
Step-by-step explanation:
Because 4x12 is 48 and so is 6x8
Answer:
C. 8
Step-by-step explanation:
4 ⋅ 12 = 6n (6 ⋅ n is the same as 6n)
Multiply 4 ⋅ 12.
48 = 6n
Divide both sides by 6
n = 8
Hope I helped :)
Please consider Brainliest :)
find the value of x in the triangle shown below.
Step-by-step explanation:
x = 180° - (55°+55°)
= 180° - 110°
= 70°
at is the slope of the line passing through the points (−3, 4) and (4, −1)?
A 3/5
B -5/7
C -1
D 3
Answer:
4/3
Step-by-step explanation:
with slope remember rise over run, the vertical difference is 4 and the horizontal difference is 3. The line slopes down to the left so it is positive.
can someone help me i will give brainlest
Answer:
(48, 3), (80, 5), (160, 10)
X,(x-36) What is the value of x
The value of x is 63
How to determine the valueTo determine the value of the variable, we have that;
Angles at a point is equal to 360 degreesComplementary angles are defined as angles that sum up to 90 degreesSupplementary angles are defined as angles that sum up to 180 degreesAngles on a straight line is equal to 180 degreesFrom the information given, we have that;
x and x - 36 are complementary angles
Now, equate the angles to 90 degrees, we have;
x + x - 36= 90
collect the like terms, we get;
2x = 90 + 36
add the terms
2x =1 26
Divide by the coefficient
x = 63
Learn more about angles at: https://brainly.com/question/25716982
#SPJ1
Complete question:
The angles X,(x-36) are complementary. What is the value of x
Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x)=……..
Using the mean value theorem in f(x) = 1/2x² + 7, c = 2√3
What is the mean value theorem?The mean value theorem states that let f be continuous over the closed interval [a,b] and differentiable over the open interval (a,b). Then, there exists at least one point c ∈(a,b) such that f'(c) = [f(b) - f(a)]/(b - a)
To find c using the mean value theoren for f(x) = 1/2x² + 7 over the interval [0, 6], we proceed as follows.
Uisng the mean value theorem, we know that
f'(c) = [f(b) - f(a)]/(b - a)
⇒ f(c) = 1/(b - a)∫ₐᵇ[f(x)
Now over the interval [a, b] = [0,6]
f(c) = 1/(6 - 0)∫₀⁶[f(x)
Now, since f(x) = 1/2x² + 7
Substituting this into the equation, we have that
f(c) = 1/(6 - 0)∫₀⁶[f(x)
f(c) = 1/(6 - 0)∫₀⁶(1/2x² + 7)
f(c) = 1/6∫₀⁶(1/2x² + ∫₀⁶7)
f(c) = 1/6[1/2x³/3 + 7x]₀⁶
f(c) = 1/6[x³/6 + 7x]₀⁶
f(c) = 1/6[6³/6 + 7(6)] - [0³/6 + 7(0)]
f(c) = 1/6[6²+ 42] - [0 + 7(0)]
f(c) = 1/6([36 + 42] - [0 + 0])
f(c) = 1/6(78 - 0)
f(c) = 1/6(78)
f(c) = 13
Now, since f(x) = 1/2x² + 7
f(c) = 1/2c² + 7
1/2c² + 7 = 13
1/2c² = 13 - 7
1/2c² = 6
c² = 2 × 6
c² = 12
c = √12
c = 2√3
Learn more about mean value theorem here:
https://brainly.com/question/30403137
#SPJ1
Carios has 38 apples. He puts 8 apples into each bag. If he fills as many bags as
possible, how many apples are left?
Answer: 6
Step-by-step explanation: 8 x 4 = 32 leaving 6 extra apples
Answer:
38 divided by 8 is 3.75. You will have 3 bags of apples with 6 apples remaining.
Step-by-step explanation:
8 + 8 = 16
16 + 8 = 24
24 + 8 = 32
Five less than twice the sum of a number n and twelve