Answers
Answer: d = 13 inches.
Step-by-step explanation: The total surface area = 674 in²
Given the value of rectangular prism are 9 and 10 in respectively.
Area of rectangular prism = 2(lw+ wh+ lh)
2(d10 + 10×9+d9) = 2(19d+90) = 38d+180 = 674
38d = 674-180 = 494
d = 494/38 = 13in
∴ d = 13in
Related Questions
A triangle cannot exist is A< 90° and a 90° and a< b. True or False
Answers
Answer:
B on edge
Step-by-step explanation:
Which expressions are equivalent to this expression?
y+y+y+3z
Select each correct answer.
3(y+z)
2y + 2z + y + z
3y + z
3 + y + 3z
Answers
Answer:
Step-by-step explanation:
3(y + z)
2y + 2z + y + z
What is the surface area of the composite figure shown?
296 square feet
356 square feet
360 square feet
412 square feet
Answers
The surface area of the composite figure shown is 356 square feet. So, option b) is correct.
Surface area is the total area covered by the surface of the figure.
Given, the composite figure can be converted into two figures as shown in the image attached below:
Total Surface area of the composite figure= Area of figure 1 + Area of figure 2.
Area of figure 1= Area of I+ Area of G+ Area of H+ Area of F
Area of I= Area of G
= Area of triangle
[tex]=\dfrac{1}{2}b\times h[/tex]
=7 x 4/2
=14
Area of I= Area of G
=8 x 4/2
=16
Area of figure 1= 14+14+16+16
Area of figure 1=60 sq feet
Area of figure 2 = Area of A+Area of B+Area of C+Area of D+Area of E
Area of rectangle=l x b
Area of A=Area of B=Area of D
=7 X 8
=56
Area of C=Area of E
=8 X 8
=64
Area of figure 2 = 56+56+64+56+64
Area of figure 2 = 296 sq feet
Surface area of the composite figure=296+60
=356 square feet
Thus, surface area of the composite figure is 356 square feet. So, option b) is correct.
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(Please show work thank you!) Nine apples cost $2.61.
A. How much will 4 dozen apples cost?
B. The cost per apple increases by 25% due to Coronavirus. How much does 1 apple cost after the price increase?
C. How much will 4 dozen apples cost after the price increase??
Answers
Answer:
A.6.96 B. .3629 C.8.7
Step-by-step explanation:
i used calculator plz brainliest
Answer:
A. 125.28
B. 1 apple = $3.26
C. 156.48
Step-by-step explanation:
A. $2.61 * 48 [(12 apples = 1 dozen) times 4 equals 4]= 125.68
B. 2.61/1 * 25/100= 65.25/100 (25% = 25/100)
65.25/100= 0.6525
0.6525= 0.65
$2.61 + $0.65 = $3.26/ apple
C. $3.26 * 48( see above on problem A)= $156.48
Help please!
A parallelogram has a base of 3.7 kilometers and a height of 5 kilometers. What is the area?
Answers
A=3.7*5
A= 18.5km^2
Answer:
Base x height = area
3.7 x 5 = 18.5
18.5 is the area
Step-by-step explanation:
Help plz the value of x and y
Answers
Answer:
ANSWER IS A ...........
Linda plans to put in wall-to-wall carpet in her bedroom. She measures the dimensions of her bedroom and sketches up the floor plan shown below. The carpet costs $9.50 per square meter. How much will Linda pay for wall-to-wall carpet for her bedroom?
Answers
Answer:
about $215
Step-by-step explanation:
Which equation is correct?
arccsc(x)=1/cos(x)
arccsc(x)=1/sin(x)
arccsc(x)= arccos(1/x)
arccsc(x) = arcsin(1/x)
Answers
Answer: D arccsc(x) = arcsin(1/x)
Step-by-step explanation:
The correct equation is arccsc(x) = arcsin(1/x), as it represents the inverse relationship between the cosecant and sine functions, indicating that arccsc(x) finds the angle whose sine is the reciprocal of x.
Explanation:The correct equation related to arcsecant is arccsc(x) = arcsin(1/x). The arcsecant function, arccsc(x), is the inverse of the cosecant function, csc(x), which is the reciprocal of the sine function, sin(x). Therefore, arccsc(x) is used to find the angle whose cosecant is x. Since csc(x) = 1/sin(x), taking the inverse of both sides, we get arccsc(1/sin(x)) = x. By further manipulation, we can say that arccsc(x) = arcsin(1/x) because we are essentially finding the angle whose sine is the reciprocal of x.
The equation arccsc(x) = 1/sin(x) suggests a relationship between arccsc and the sine function directly, but this would imply that arccsc(x) gives us the value of 1/sin(x), which is not the case. The correct interpretation is that arccsc finds the angle whose cosecant (which is 1/sin(x)) is x, hence the equation arccsc(x) = arcsin(1/x).
(5x+2)(2x-3) legit idk what to do xD
Answers
Answer:
make it polynomial eqution and than solve it for x
Step-by-step explanation:
hope this will help you
Answer:
10x² - 11x - 6
Step-by-step explanation:
(5x+2)(2x-3)
10x² + 4x - 15x - 6
10x² - 11x - 6
- 3x + 2 - 5(2x -1) simplified
Answers
Answer:
-13x + 7
Step-by-step explanation:
trust me
Determine the equation for the given line in
slope-intercept form.
y=-5/3x-1
Y=5/3x+1
Y=3/5x+1 Y=-3/5x-1
Answers
Answer:
Y= -3/5 - 1
Step-by-step explanation:
if you start on the y intercept an go down once (-1)
then go down three times (-3)
positive 5 so go right 5 times it lands on the point :)
im not a teacher and i took this last year so sorry if my explanation isn't the best
The equation for the given line in slope-intercept form is y = (-3/5)x - 1.
Option D is the correct answer.
We have,
The slope-intercept form of a linear equation,
y = mx + b
where m represents the slope of the line and b represents the y-intercept.
The slope (m) of the line using the two given points (0, -1) and (5, -4):
m = (y₂ - y₁) / (x₂ - x₁)
m = (-4 - (-1)) / (5 - 0)
m = (-4 + 1) / 5
m = -3 / 5
Substitute it into the slope-intercept form, along with one of the given points (0, -1), to find the value of b:
-1 = (-3/5)(0) + b
-1 = b
The y-intercept (b) is -1.
The equation of the line using the slope-intercept form:
y = (-3/5)x - 1
Thus,
The equation for the given line in slope-intercept form is y = (-3/5)x - 1.
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Use the values given in the table and the functions to
determine the missing values. Help please
Answers
Answer:
1/4
1
4
Step-by-step explanation:
The function is g(x) = 4^((1/2)*x)
For A, the value is -2. Plug this into the equation.
g(-2) = 4^((1/2)*-2)
g(-2) = 4^(-1)
g(-2) = 1/4
For B, the value is 0. Plug it into the equaiton.
g(0) = 4^((1/2)*0)
g(0) = 4^(0)
g(0) = 1
For C, the value is 2. Plug it into the equation.
g(2) = 4^((1/2)*2)
g(2) = 4^1
g(2) = 4
A function is a relationship between inputs where each input is related to exactly one output.
The value of A is 1/4.
The value of B is 1.
The value of C is 4.
What is a function?
A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = [tex]4^x[/tex]
g(x) = [tex]4^{\frac{1}{2}x[/tex]
For x = -2
A = [tex]4^{\frac{1}{2}\times-2[/tex]
A = 1/4
For x = 0
B = [tex]4^0[/tex]
B = 1
For x = 2
C = [tex]4^1[/tex]
C = 4
Thus,
The value of A is 1/4.
The value of B is 1.
The value of C is 4.
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Two princesses, Nat and Kat, are gifted with a savings account from their royal parents, Matt and Pat, when they turn 5 years old. The royal parents put a specific amount into each account annually such that Nat’s account follows a linear model. Nat’s savings account has an initial balance of when it is opened and each year on her birthday, Nat’s parents put a constant amount into the account and never remove any money. Her account has $6200 when she is 7 and when Nat is 12, she has $21200 in her account.
a. Write a linear function N(t) for the amount of money, N, that Nat has in her account ‘t’ years after her 5th birthday.
b. Kat’s account doesn’t follow a linear model, but rather a quadratic model. On her 5th birthday, her parents open the account and then add money annually just like with Nat. Kat’s parents plan is to add money so that her account maxes out at $44100 on her 25th birthday. At the age of 14, she has $32000. Write a quadratic function K(t) for the amount of money, K, in Kat’s account ‘t’ years after her 5th birthday.
c. What age will both Nat and Kat have the same amount in their account?
Answers
Answers and Step-by-step explanations:
(a) We want to find the slope-intercept equation (y = mx + b), where m is the slope and b is the y-intercept. We already have two points: (2, 6200) and (7, 21200). The slope is change in y over change in x so:
m = (21200 - 6200) / (7 - 2) = 3000
Now, we have y = 3000x + b. Plug in 6200 for y and 2 for x to solve for b:
y = 3000x + b
6200 = 3000 * 2 + b
b = 200
Nat's equation is y = 3000t + 200.
(b) We want a quadratic formula in vertex form because the problem says that Kat's account maxes out at 44100 on her 25th birthday, indicating that's the vertex. Our vertex point is (20, 44100); note that it's 20 and not 25 because she starts the account at age 5, not age 0. The generic vertex form of a quadratic is:
y = a(x - h)² + k, where (h, k) is the vertex
Plug in our vertex:
y = a(x - 20)² + 44100
We also have the point (9, 32000), so put that in to find a:
32000 = a(9 - 20)² + 44100
-12100 = a * 121
a = -100
So Kat's equation is y = -100(t - 20)² + 44100.
(c) In order to find the age when they have the same amount, we set the two equations equal:
3000t + 200 = -100(t - 20)² + 44100
-100(t² - 40t + 400) + 44100 = 3000t + 200
-100t² + 4000t - 40000 + 44100 - 3000t - 200 = 0
-100t² + 1000t + 3900 = 0
t² - 10t - 39 = 0
(t - 13)(t + 3) = 0
t = 13 or t = -3 -- obviously, years can't be negative, so t = 13.
Note, however, that t is the number of years after Kat and Nat are 5, so we need to add 13 to 5:
13 + 5 = 18
The age is 18.
A: [tex]N(t) = 3000t +200[/tex]
B: [tex]y = -100(x-20)^2+44100[/tex]
C: When they turn 18.
A. Write a linear function N(t) for the amount of money, N, that Nat has in her account ‘t’ years after her 5th birthday:
You can determine a linear equation using the two coordinates provided:
(2, 6200) and (5, 21200).
To do this, first find the slope of the graph. You can do this by using the expression
[tex]\frac{y2-y1}{x2-x1}[/tex], where the coordinate (2, 6200) is 1 and (7, 21200) is 2:
[tex]\frac{21200-6200}{12-7}\\\\\frac{15000}{5}[/tex]
The slope is equal to 3000. Now, you need to find the y-intercept. Plug in 2 for x and see what the y intercept would need to be to equal 6200:
6200 = 3000 * 2 + b
6200 = 6000 + b
b = 200
Thus, your equation for Nat's bank account is [tex]N(t) = 3000t + 200[/tex]
B: Kat’s account doesn’t follow a linear model, but rather a quadratic model. On her 5th birthday, her parents open the account and then add money annually just like with Nat. Kat’s parents plan is to add money so that her account maxes out at $44100 on her 25th birthday. At the age of 14, she has $32000. Write a quadratic function K(t) for the amount of money, K, in Kat’s account ‘t’ years after her 5th birthday:
The question supplies you with the vertex to the parabola, (20, 44100). This is the point at which the maximum value of the function is reached.
It also supplies you with a point on the parabola, (9, 32000).
You can use the vertex form of the quadratic equation to find the formula for Kat's bank account:
[tex]y=a(x-h)^2+k[/tex], where (h, k) is the vertex.
Substituting the vertex in for that equation, we get:
[tex]y=a(x-20)^2+44100[/tex]
Now, you can substitute the point (14, 32000) in for x and y to solve for a:
[tex]32000=a(9-20)^2+44100\\\\-12100 = 121a\\a = -100[/tex]
Thus, the equation is [tex]y = -100(x-20)^2+44100[/tex].
C. What age will both Nat and Kat have the same amount in their account? 18 years old.
To find what age each account will be equal, set the equations equal to each other:
[tex]-100(x-20)^2+44100 = 3000x +200[/tex]
Then, you can solve for x:
[tex]-100(x-13)(x+3)=0[/tex]
Solving for x, we notice that the accounts equal each other when Nat and Kat are -3 or 13. However, Nat's function is only specified to begin after she turns 5, so add 5 to 13 to get 18.
They will both have the same money in their accounts when they turn 18.
Find the area of the rectangle polynomial
Answers
hello,
[tex]Area =(2x + 4) \times ( 4x - 2) \\ Area =8 {x}^{2} - 4x + 16x - 8 \\ Area = {8x}^{2} + 12x - 8[/tex]
[tex]\boxed{crsjr}[/tex]
Answer:
[tex]\Longrightarrow: \boxed{\sf{8x^2+12x-8}}[/tex]
Step-by-step explanation:
Using the distributive property, you multiply by the area to find the area of the rectangle polynomial.
[tex]: \Longrightarrow \sf{(Area)= (2x+4)*(4x-2)}[/tex]
Solve.
(2x+4)*(4x-2)Multiply by expand.
Use the distributive property.
Distributive property:⇒ A(B+C)=AB+ACUse the FOIL method.
FOIL method:
[tex]\Longrightarrow: \sf{\left(A+B\right)\left(C+D\right)=AC+AD+BC+BD}[/tex]
[tex]\Longrightarrow: \sf{2x\cdot \:4x+2x\left(-2\right)+4\cdot \:4x+4\left(-2\right)}[/tex]
[tex]\Longrightarrow: \boxed{\sf{=8x^2+12x-8}}[/tex]
Therefore, the correct answer is 8x²+12x-8.I hope this helps! Let me know if you have any questions.
Put the numbers in order from least to greatest. 1.5 × 104, 2.6 × 10-2, 3.5 × 102, 6.2 × 10-1
Answers
Answer:
you can do it
Step-by-step explanation:
|BRAINLIEST|
Which statement about determining the quotient 1/10 ÷ 5 is true?
A) Because 2/5 × 5 = 1/10 , 1/10 divided by 5 is 2/5 .
B) Because 1/50 × 5 = 1/10 , 110 divided by 5 is 150 .
C) Because 1/2 × 5 = 1/10 , 1/10 divided by 5 is 1/2 .
D) Because 1/5 × 5 = 1/10 , 1/10 divided by 5 is 1/5 .
Answers
Answer:
I think Answer is B
Step-by-step explanation:
A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and
6 steaks. What is the experimental probability of pizza or steak?
P(pizza or steak)
20%
50%
35%
65%
Answers
Answer:
35%
Step-by-step explanation:
8+12+14+6=40
8+6=14
p( pizza or steak)=14/40=0.35
0.35*100=35%
The experimental probability is the occurrence probability of an event concerning all events. The experimental probability of pizza or steak is P(P or B) = 35%
What is the experimental probability?
The experimental probability is a probability assigned to an event. It is the number of times an event occurs concerning the number of times all events occur or the experiment is repeated.
It can be calculated by taking the relative frequency of the event when the experiment is repeated several times.
To calculate it, we can use the following formula,
P(E) = Number of trials performed in which a certain event occurred / Total number of trials in which all events occurred
In the exposed example,
The type of food are the events ⇒ pizzas, hamburgers, pastas, andsteaks.
The number of times each event is repeated is 8, 12, 14, 6 respectively Total number of trials in which all events occurred ⇒ 8+12+14+6The events of interest are pizza or steakThe number of times pizza or steak occur is 8 and 6 respectively Number of trials performed in which these events occurred ⇒ 8+14P(E) = Number of trials performed in which a certain event occurred / Total number of trials in which all events occurred
P(P or B) = (8 + 6) / (8 + 12 + 14 + 6) = 14 / 40 = 0.35 = 35%
The experimental probability of pizza or steak is P(P or B) = 35%
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multiply write the result in scientific notation (9.10^4)(8.10^6) help please
Answers
To multiply numbers in scientific notation, multiply the coefficients and add the exponents. The final answer is 7.2 x 10^11.
Explanation:To multiply numbers in scientific notation, you need to multiply the coefficients and add the exponents.
In this case, (9.104) multiplied by (8.106) gives you (9 * 8) multiplied by (104+6).
So the result is 72 multiplied by 1010, which can be written in scientific notation as 7.2 x 1011.
Please help me on this, not sure what the answer is.
Answers
Answer: I think it is High overlapped
Step-by-step explanation: because when comparing it look like a small difference between them.
What are the dimensions of the base of the pyramid?
A. 8 ft by 6 ft
B. 8 ft by 3 ft
C. 6 ft by 3 ft
D. 8 ft by 9 ft
Answers
Answer:
C
Step-by-step explanation:
its a wild guess because you didn't add a picture or anything to show the pyramid
Answer:
i think it's b
Step-by-step explanation:
Which expressions are equivalent
to 1/81 ? check all that apply.
picture provided
Answers
[tex] {8}^{ - 1} = \frac{1}{8} [/tex]
8-¹ ❌
[tex] {9}^{ - 2} = \frac{1}{ {9}^{2} } = \frac{1}{81} [/tex]
9-² ✔️
[tex] \frac{ {9}^{8} }{ {9}^{4} } = {9}^{8 - 4} = {9}^{8} [/tex]
9^8/9^4 ❌
[tex] \frac{9 {}^{8} }{ {9}^{10} } = {9}^{8 - 10} = {9}^{ - 2} = \frac{1}{9 {}^{2} } = \frac{1}{81} [/tex]
9^8/9^10 ✔️
[tex] {9}^{ - 6} \times {9}^{3} = {9}^{ - 6 + 3} = {9}^{ - 3} = \frac{1}{9 {}^{3} } = \frac{1}{729} [/tex]
9^-6 . 9³ ❌
[tex] {9}^{5} . \: { 9}^{ - 7} = {9}^{5 - 7} = 9 {}^{ - 2} = \frac{1}{ {9}^{2} } = \frac{1}{81} [/tex]
9^5 . 9^-7 ✔️
A reindeer runs 20 1/4
miles in 3 hours. At that rate, how many miles does it run in 1 hour?
Answers
Answer:
6 3/4 or 6.75 mph
Step-by-step explanation:
Take the rate of miles per 3 hours, 20 1/4, and divide it by 3.
That equals 6.75 or 6 3/4 mph
Hope this helps!
Answer:
6 3/4Step-by-step explanation:
Lets take the rate of miles per 3 hours So, we have 20 1/4 so now if we divide it by 3 That will equal 6.75 in decimal if you were asked to write it in fraction write it like this 6 3/4.
Decimal= 6.75 Fraction= 6 3/4
Hope this helps you!!
A sporting goods store order an equal amount of yellow and white tennis balls. The tennis ball company delivered extra 30 white tennis balls making the ratio of white to yellow balls 6:5 how many yellow balls did the store originally order?
Answers
Initial ratio W/Y=1
new ratio (w+30)/y=6/5, or substituting w for y you get 6w=5w+150 or w=150.
then y=150, so the shop ordered 300 balls initially, 150 each
Hope this helped
:)
What is the value of x?
12x+34=9
Answers
Answer:
B. 16 1/2
Step-by-step explanation:
1/2x+3/4=9
multiply both sides by 4
4(1/2x+3/4)=9x4
2x+3=36
2x=36-3
2x=33
x=33/2
x=16 1/2
Answer:
2.1
Step-by-step explanation:
you start with 12x+34=9 so do inverse operations
12x+34=9
-34 -34
12x=-25
12x/12=-25/12
x=-2.083333ect.
or 2.1
What is the factorization of 12164 - 49?
O (11b - 7)(11b - 7)
O (11b + 7)(11b - 7)
O (1162 - 7)(1162 - 7)
O (1162 + 7)(1162 - 7)
Answers
The factorization of 12164 - 49 is,
⇒ (110.3 - 7) (110.3 + 7)
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The number is,
⇒ 12164 - 49
Now, We can factor as;
⇒ 12164 - 49
⇒ 110.3² - 7²
⇒ (110.3 - 7) (110.3 + 7)
Thus, The factorization of 12164 - 49 is,
⇒ (110.3 - 7) (110.3 + 7)
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*ANSWER CORRECTLY TO BE COUNTED AS BRAINLIEAT*
Answers
Answer:
mean = 6.4
median = 6.5
range = 9
Step-by-step explanation:
hope this helps!!
Answer:
Step-by-step explanation:
Mean = Sum of scores/number of games
[tex]=\frac{4+10+7+9+2+11+4+9+2+6}{10}\\\\=\frac{64}{10}\\\\[/tex]
Mean = 6.4
4,10,7,9,2,11,4,9,2,6
Ascending order: 2,2,4,4,6,7,9,9,10,11
Median is the middle term. As number of terms is even number (10),
We have to find the mean of middle terms. ie median of 5th and 6th term
[tex]Median=\frac{6+7}{2}\\\\=\frac{13}{2}[/tex]
Median = 6.5
Range = Maximum score - minimum score
= 11 - 2
Range = 9
Consider the diagram below. GA and FA are radii and DG and FD are tangent to circle A. Determine the value of x.
Answers
Answer:102
Step-by-step explanation:
180-36=144
x+42=144
x=102
The measure of x from the circle is x = 102
What is Central Angle?The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.
The central angle of a circle formula is as follows.
Central Angle = ( s x 360° ) / 2πr
where s is the length of the arc
r is the radius of the circle
Central Angle = 2 x Angle in other segment
Given data ,
Let the measure of the external angle ∠GDF = 36°
Now , Central Angle = 2 x Angle in other segment
And , the measure of ∠GAF = ( x + 42 )°
On simplifying , we get
( x + 42 )° = 180° - 36°
x + 42 = 144
Subtracting 42 on both sides , we get
x = 102
Hence , the measure of x of circle is 102
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5. Find y.
A)120
B)130
C)140
D)150
Answers
ΔRST and ΔXYZ are equilateral triangles. The ratio of the perimeter of ΔRST to the perimeter of ΔXYZ is 2 to 1. The area of ΔRST is 62.354 square inches. What is the area of ΔXYZ? (round to nearest tenth) A) 15.6 in2 B) 31.2 in2 C) 124.7 in2 D) 249.4 in2
Answers
Answer:
C
Step-by-step explanation:
i’m confused if someone could please help that would be great
Answers
Answer:
6 weeks
Step-by-step explanation:
You can use linear equations to find this out.
y is the total amount saves, x is the number of weeks.
Jade's equation: y = 5x + 0 (the 5 is how much she will save each week, the 0 is how much she has now, or the initial value.)
Enrique's equation: y = 3x + 12 (the 3 is how much he will save each week, the 12 is how much he has now, or the initial value.)
You can set up a table, or you could enter it in your calculator.
After entering the equations in my calculator, I found that the x value of 6 was when both equations had the same y value. So after 6 weeks, both of them had saved 30 dollars.