If the volume of the box is 112 in3, find the value of x (in inches). (Assume that all the dimensions in the figure are in inches.)
Answers
Answer:
X=4
Step-by-step explanation:
4x(x+3)=112
4x^2+12x=112
x^2+3x=28
x^2+3x-28=0
(X+7)(x-4)=0
X=-7 or x=4
Answer:
volume of cuboid =l×b×h
112in³=(x+3)×x×4
112in³/4=x²+3x
28=x²+3x
x²+3x-28=0
x²+7x-4x-28=0
x(x+7)-4(x+7)=0
(x+7)(x-4)=0
either
x=-7(rejected length or breadth or height will be always positive)
or
x=4in
value of x =4in
Related Questions
1
Write the equation of a circle whose center is at (-11,–8) and whose radius is 4.
Answers
Answer:
Step-by-step explanation:
[tex](x_c,y_c)=(-11,-8) \quad r=4\\(x-x_c)^2+(y-y_c)^2=r^2 \quad (x+11)^2+(y+8)^2=4^2[/tex]
please help i am giving away brainliest
An aquarium has the dimensions shown in the diagram. What is the volume of the aquarium?
A. 3240 in.3
B. 432 in.3
C. 540 in.3
D. 6480 in.3
no dam links
Answers
Answer:
6,480in.3
Step-by-step explanation:
Hope this helps!
The volume of the aquarium is 6480 [tex]in. ^{3}[/tex]
What is rectangular prism?A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.
What is volume of rectangular prism?The volume of a rectangular prism is the space that is inside it .
The volume of the rectangular prism, V = Length * Breath * Height
According to the question
Length of the aquarium = 36 in.
Breath of the aquarium = 12 in.
Height of the aquarium = 15 in.
As aquarium is a rectangular prism
volume of the aquarium, = Length * Breath * Height
= 36 * 15 * 12
= 6480 [tex]in. ^{3}[/tex]
Hence, The volume of the aquarium is 6480 [tex]in. ^{3}[/tex]
To know more about rectangular prism here:
https://brainly.com/question/21308574
#SPJ2
there were 125 customers at walmart. 64% paid with a credit card;the rest paid with cash. how many paid with cash?
Answers
Answer:
45
Step-by-step explanation:
100-64 is 36. 36% paid with cash 125×35%=45 or 125×.36=45
The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.50 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 53 randomly selected calls. The mean wait time was calculated to be 4.94 minutes. Assuming the population standard deviation is 2.10 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?
1. State the null and alternative hypotheses for the test.
2. Compute the value of the test statistic.
3. Draw a conclusion and interpret the decision.
Answers
Answer:
H0 : μ = 4.50
H1 : μ > 4.50
Test statistic = 1.525
we conclude that there is no sufficient evidence to conclude that the mean wait time for customers is longer than 4.50.
Step-by-step explanation:
H0 : μ = 4.50
H1 : μ > 4.50
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(4.94 - 4.50) ÷ 2.10/ sqrt(53)
0.44 / 2.10/ sqrt(53)
= 1.525
α = 1 - 98% = 0.02
Decision region :
Reject H0 ; if Pvalue < α
Pvalue = p(Z < 1.525) = 0.936
Pvalue = 0.936
Since Pvalue > α ; We fail to reject H0
Hence, we conclude that there is no sufficient evidence to conclude that the mean wait time for customers is longer than 4.50.
Please help me and no linkd
Answers
Answer:
Um what’s the question?
Step-by-step explanation:
Answer:
*links* hope this helped!
Step-by-step explanation:
Which method would determine the volume of the prism shown below? 2 - cm 4 2 C 2 cm 5 cm 10 unit cubes and 10 one-quarter cubes gives 10+ 10x 4 as the volume. ox A 에 0 20 unit cubes and 10 one-quarter cubes gives 20+ 10x 4 as the volume. O 20 unit cubes and 10 one-quarter cubes gives 20+ 2 as the volume.
Answers
Answer:
A
Step-by-step explanation:
Answer: It’s A
Step-by-step explanation:
I need help please don’t scam or no brainlist
Answers
Please help me no links
Answers
Pleaseeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
2 terms
Step-by-step explanation:
I hope it will help you
At a sale this week, a table is being sold for $426. This is a 29% discount from the original price. What is the original price?
Answers
Answer:
$600
Step-by-step explanation:
Let x = og price
x - 0.29x = 426
0.71x=426
÷0.71 ÷0.71
x = 600
A person invests $4,250 in an account that earns 5.25% interest compounded annually. let f(t) be the value in dollars of the account after t years. give an equation for f f(t)=______. what will be the value of the account after 5 years? round your answer to the nearest cent. $_______. after 10 years? round your answer to the nearest cent $______
Answers
Answer:
see the answers below
Step-by-step explanation:
Given data
P=$4,250
Rate= 5.25%
Time= t years
1. The compound interest expression is
A=4250(1+0.0525)^t
A=4250(1.0525)^t
2. P=$4,250
Rate= 5.25%
Time= 5 years
1. The compound interest expression is
A=4250(1+0.0525)^5
A=4250(1.0525)^5
A=4250*1.2915
A=$5488.875
3. P=$4,250
Rate= 5.25%
Time= 10years
1. The compound interest expression is
A=4250(1+0.0525)^10
A=4250(1.0525)^10
A=4250*1.6680
A=$7089
Triangle ABC what is the measurement of Angle C on degrees if Angle A is 32.8° and Angle is 80°.
Answers
Answer:
10.8°degrees
Step-by-step explanation:
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How many
sixths
are
there in (a) one whole?
(b) Two wholes?
Answers
Answer:
(b) 2 / (1/6) = 2 * (6/1) = 12
(a)There are six sixths in a whole. In terms of numbers, 6/6 = 1.
Answer:
6 sixths in one whole and 12 sixths in 2.
What is the area of the triangle 2,7,5-by the time you answer this I might already be done with this beck add all to slow to answer it-no hate tho :;
Answers
Answer:
5 units squared
Step-by-step explanation:
To find the area of a triangle, the formula is base * height/2
the base of this triangle is 2 while the height is 5
area = (2*5)/2
area = 5 units squared
x = 8 – 2y
x + 3y = 12
Answers
9514 1404 393
Answer:
(x, y) = (0, 4)
Step-by-step explanation:
Since we have an expression for x, substitution works nicely.
(8 -2y) +3y = 12 . . . . . . use the first equation to substitute for x in the 2nd
y = 4 . . . . . . . . . . . . subtract 8, collect terms
x = 8 -2(4) = 0 . . . . substitute for y in the first equation
The solution is (x, y) = (0, 4).
HELP ASAP!! I will give brainlist! Thanks!
Answers
Answer:
C. Addition Property of Equality
Step-by-step explanation:
Given,
x - 6 = 4
To find x, the addition property of equality is applied by adding 6 to both sides.
Thus:
x - 6 + 6 = 4 + 6
x = 10
A leaf falls 18 feet from a branch to the ground at a rate of 5 feet every 2 seconds.
Determine whether each statement about the leaf is true. Select True or False for each statement.
True False
The initial height of the leaf is 18 feet.
The leaf falls at a rate of foot every 1 second.
The leaf is 3 feet above the ground after 6 seconds.
Answers
Answer:
The initial height of the leaf is 18 feet. (False)
The leaf falls at a rate of foot every 1 second. (False)
The leaf is 3 feet above the ground after 6 seconds. (True)
The equation x^3-6x=72 has a solution between 4 and 5. Use a trial and improvement method to find this solution. Give your answer correct to 1 decimal place. You must show all your working. On the same line as your final answer you must write ‘to 1 decimal place’
Answers
Answer:
4.6
Step-by-step explanation:
x³-6x=72
x³-6x-72=0 .... a solution between 4 and 5
x=4 x³-6x-72= 64-24-72 = -32
x=5 x³-6x-72= 125-30-72 = 23
we have to find an x value that makes x³-6x-72 --> 0
see the attachment, we can find the 0 value of x is between 4.63 and 4.64
‘to 1 decimal place’ of the solution is: 4.6 (4.63 is too small and 4.64 is too big)
In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 16 hours. Write a function showing the number of bacteria after tt hours, where the hourly growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per hour, to the nearest hundredth of a percent.
Answers
Answer:
The hourly growth rate is of 4.43%.
The function showing the number of bacteria after t hours is [tex]P(t) = 80(1.0443)^t[/tex]
Step-by-step explanation:
Equation of population growth:
The equation for the population after t hours is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
The conditions are such that the number of bacteria is able to double every 16 hours.
This means that [tex]P(16) = 2P(0)[/tex]. We use this to find r.
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]2P(0) = P(0)(1+r)^{16}[/tex]
[tex](1+r)^{16} = 2[/tex]
[tex]\sqrt[16]{(1+r)^{16}} = \sqrt[16]{2}[/tex]
[tex]1 + r = 2^{\frac{1}{16}}[/tex]
[tex]1 + r = 1.0443[/tex]
[tex]r = 1.0443 - 1[/tex]
[tex]r = 0.0443[/tex]
The hourly growth rate is of 4.43%.
80 bacteria are placed in a petri dish.
This means that [tex]P(0) = 80[/tex].
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 80(1+0.0443)^t[/tex]
[tex]P(t) = 80(1.0443)^t[/tex]
The function showing the number of bacteria after t hours is [tex]P(t) = 80(1.0443)^t[/tex]
I git dune wif this in 3 minits
782+821=___
2x2=___
Answers
2x2 = 4
Answer:
♡♡♡♡♡♡♡♡♡♡♡♡
Step-by-step explanation:
782 + 821 = 1,603
2 x 2 = 4
which scatterplot most likely has a line of best fit represented by y=-2x-1?
NO LINKS PLS
Answers
Answer:
The answer to your question is the letter C
Answer:
I think it is c
Step-by-step explanation:
........................
Answers
Answer:
.......................................................................................................................
Step-by-step explanation:
nice enjoy this picture of le doggo
Select the correct answer.
When graphed, the three lines y = -x + 2, y = 2x − 1, and y = x − 2 intersect in such a way that they form a triangle.
What are the coordinates of the three vertices of this triangle?
A.
(2, 0), (0, 2), and (-1, -3)
B.
(0, 2), (2, 0), and (1, -1)
C.
(1, 1), (2, 0), and (-1, -3)
D.
(1, 1), (0, 2), and (-1, -3)
E.
(2, 0), (1, -1), and (-1, -3)
Answers
What is the correct expanded form and value of ( 4/5)³ ?
Answers
Answer:
its the second one
Step-by-step explanation:
see image below
6. Find the Volume of the Triangular Prism below:
A) 2145 ft to the 3 power
B) 1072.5 ft to the 3 power
C) 728 ft to the 3 power
D) 900 ft to the 3 power
Answers
Answer:B 1072.5 ft^3
Step-by-step explanation: The steps are in the picture
(Kinda need help ASAP)
a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King).
If you select a card at random, what is the probability of getting:
A(n) 2 of Spades?
Hearts or Clubs?
A number smaller than 7 (counting the ace as a 1)?
Answers
Answer:
Plzzzz answer fast......
Si la altura del triángulo es 4 cm cuántos centímetros cuadrados mediría el área del triángulo al ampliarlo usando el factor de escala de 4
Answers
Answer:
Para un triángulo de base B y altura H, el área se calcula como:
A = B*H/2
En este caso, tenemos un triángulo con altura igual a 4cm, entonces el área será:
A = (4cm)*B/2 = B*2cm
(Como no conocemos la base, no podemos obtener una respuesta exacta)
Si ampliamos el triángulo usando un factor de escala 4, entonces todas las medidas del triángulo son 4 veces más grandes, entonces la nueva altura es:
H' = 4*H = 4*4cm = 16cm
La nueva base será:
B' = 4*B
Entonces la nueva área es:
A' = (16cm)*4B/2 = (8cm)*(4B) = (4*2cm)*(4B) = (4*4)*(2cm*B) = 16*(2cm*B)
Y 2cm*B era el área original del triángulo, entonces:
A' = 16*A
Esto nos dice que la nueva área será 16 veces el área original.
7. Mr. Mathewson increased the amount of weight he
lifted each morning from 80 pounds to 90 pounds. By
what percentage did Mr. Mathewson increase the
amount of weight he lifted?
O A. 12.5%
B. 10%
O C. 15%
O D. 18.5%
will mark brainlyest
Answers
9514 1404 393
Answer:
A. 12.5%
Step-by-step explanation:
The percentage increase is found from ...
pct increase = (increase)/(base amount) × 100%
= (90 -80)/80 × 100% = 1/8 × 100% = 12.5%
Mr. Mathewson increased the amount of weight by 12.5%.
Answer:
A 12.5%
Step-by-step explanation:
$650 is invested in an account earning 8.6% interest (APR), compounded monthly. Write a function showing the value of the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
Answers
Answer:
The value of the acount after t years is of [tex]A(t) = 650(1.0072)^{12t}[/tex]
The annual growth rate is of 0.72%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$650 is invested in an account earning 8.6% interest (APR), compounded monthly.
This means that [tex]P = 650, r = 0.086, n = 12[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 650(1 + \frac{0.086}{12})^{12t}[/tex]
[tex]A(t) = 650(1.0072)^{12t}[/tex]
The value of the acount after t years is of [tex]A(t) = 650(1.0072)^{12t}[/tex]
Annual growth rate
1.0072 - 1 = 0.0072 = 0.72%
The annual growth rate is of 0.72%.
A map's scale is 1 inch : 3.5 miles.
If the distance on the map is
8 inches, then the actual distance
in real life is miles.
Answers
Answer:
28
Step-by-step explanation:
1 in.=3.5
so 8×3.5=28
so it is 28 miles