Answer:
[tex]x = \frac{7}{11} [/tex]
Step-by-step explanation:
[tex]5x + 3x = 2 + 5 - 3x \\ 8x = 7 - 3x \\ 11x = 7 \\ x = \frac{7}{11} [/tex]
i’m confused if someone could please help that would be great
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.
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)
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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Which of the following is a description of the data with a correlation coefficient of 1?
A) no correlation
B) perfect positive correlation
C) high positive correlation
D) perfect negative correlation
Answer:
perfect negative correlation
Step-by-step explanation:
correlation coefficient is the term used in statistic which provides the information of strength of relation between two variables. This value suggests if there is change in value of one variable, what will be the change in the variable and how much will value of that change.
What will be the change : it suggest whether change in value of one variable other will be increase or decrease .
If there is increase in one variable and other also increases it suggest there is positive correlation .
If there is decrease in one variable and other also decrease it suggest there is positive correlation .
how much will value of that change: It means to say if there is change in one variable by how much amount other variable will change.
If the value of correlation coefficient is high it means that change in value for one variable is high in to response change in other variable .
It values ranges from -1 to +1 high
while sign depicts type of relation that is positive or negative .
value from - 1 to + 1 depicts strength of the relation .
with - 1 depicting perfect negative correlation
+1 depicting perfect positive correlation.
In the problem it is given correlation coefficient is 1 which means it is positive and value of one means that if there x percentage increase in one variable then other variable will also increase by x percentage and vice versa.
Which expressions are equivalent
to 1/81 ? check all that apply.
picture provided
[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 ✔️
(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??
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
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
Answer:
Step-by-step explanation:
3(y + z)
2y + 2z + y + z
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
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:
Help plz the value of x and y
Answer:
ANSWER IS A ...........
Which equation is correct?
arccsc(x)=1/cos(x)
arccsc(x)=1/sin(x)
arccsc(x)= arccos(1/x)
arccsc(x) = arcsin(1/x)
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).
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?
Answer:
about $215
Step-by-step explanation:
A triangle cannot exist is A< 90° and a 90° and a< b. True or False
Answer:
B on edge
Step-by-step explanation:
Help please!
A parallelogram has a base of 3.7 kilometers and a height of 5 kilometers. What is the area?
Answer:
Base x height = area
3.7 x 5 = 18.5
18.5 is the area
Step-by-step explanation:
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 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.
50 POINTS!!!!!! AND BRAINLIEST!!! PLEASE HELP. SAT.
If a is equal to the sum of band c, what is the difference of band c?
In terms of b and a
In terms of c and a
Answer:
2b -a
a-2c
Step-by-step explanation:
a = b+c
We want to find b-c
Solve the first equation for b
b = a-c
and for c
c = a-b
b-c in terms of b and a
using c = a-b
b - (a-b)
Distribute the minus sign
b - a +b
Combine like terms
2b -a
b-c in terms of c and a
using b = a-c
(a-c) -c
a-c -c
Combine like terms
a-2c
Put the numbers in order from least to greatest. 1.5 × 104, 2.6 × 10-2, 3.5 × 102, 6.2 × 10-1
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 .
Answer:
I think Answer is B
Step-by-step explanation:
(5x+2)(2x-3) legit idk what to do xD
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
The graph of which function passes through (0,4) and has a minimum value at (StartFraction 3 pi Over 2 EndFraction, 3)?
Answer:
f(x) = sin(x)+4
What is the surface area of the composite figure shown?
296 square feet
356 square feet
360 square feet
412 square feet
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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*ANSWER CORRECTLY TO BE COUNTED AS BRAINLIEAT*
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
Find the area of the rectangle polynomial
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.
Consider the diagram below. GA and FA are radii and DG and FD are tangent to circle A. Determine the value of x.
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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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?
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
:)
Please help me on this, not sure what the answer is.
Answer: I think it is High overlapped
Step-by-step explanation: because when comparing it look like a small difference between them.
5. Find y.
A)120
B)130
C)140
D)150
The cross-section of a pipe has a width of 6 centimeters and a height of 15 centimeters.
Calculate the volume of the pipe.
Use 3.14 for pi. Round to the nearest tenth.
Answer:
Volume of the pipe = 423.9cm³
Step-by-step explanation:
Width = 6cm = diameter
Radius (r) = d / 2 = 6 / 2 = 3cm
Height = 15cm
Volume = ?
π = 3.14
Assuming the shape of the pipe is that of a cylinder, then we can easily find its volume just by calculating the volume of the cylinder.
Volume of a cylinder = πr²h
π = 3.14
r = radius of the cylinder
h = height of the cylinder
Volume = 3.14 × 3² × 15
Volume = 3.14 × 9 × 15
Volume = 423.9cm³
The volume of the pipe is 423.9cm³
The volume of the given pipe is [tex]424.12\ cm^3[/tex].
To calculate the volume of the pipe, assume the pipe is cylindrical and use the formula for the volume of a cylinder. The formula is given by:
[tex]V = Area\ of\ cross\ section \times height[/tex]
Since the pipe is cylindrical, the cross section is a circle. Therefore:
[tex]Area\ of\ cross\ section = \pi r^2[/tex]
where r = radius of cross section
Given width = 6 cm = diameter of the cross section = 2r
[tex]2r = 6\ cm \implies r = \frac{6}{2}\ cm = 3\ cm[/tex]
Therefore:
[tex]Area\ of\ cross\ section=A = \pi r^2 = \pi (3)^2 = 9\pi\ cm^2[/tex]
Assuming the 'height' mentioned is the length through which fluid is flowing, and given the cross-sectional area, the volume formula simplifies to:
[tex]V = A\times h[/tex]
Given height (length of cylinder) = 15 cm:
[tex]V = 9\pi \times 15\ cm^3 = 135\pi \ cm^3 \approx 424.12\ cm^3[/tex]
So, the volume of the pipe, assuming it as cylindrical, is [tex]424.12\ cm^3[/tex].
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
Answer:
C
Step-by-step explanation:
solve 21/8.1 = 105/m
Answer:
m = 40.5
Step-by-step explanation:
21/8.1 = 105/m
Croos multiplying the fractions, we get
21m = 850.5
m = 850.5/21
m = 40.5
hope it helps!
To solve the proportion 21/8.1 = 105/m, cross-multiply to get 21m = 850.5. Then, divide both sides by 21 to find m = 40.5.
Explanation:To solve the equation 21/8.1 = 105/m, you can use cross-multiplication. By setting up the proportions correctly, you ensure that meters, being the only unit involved, is properly handled in the calculations.
First, cross-multiply to get 21 * m = 105 * 8.1. This simplifies to 21m = 850.5. Next, divide both sides of the equation by 21 to isolate m on one side, leaving you with m = 850.5 / 21. Upon dividing, you get m = 40.5.
It's important to remember that when dealing with ratios or proportions, canceling equivalent terms in the numerator and denominator simplifies the problem, making it easier to solve. Moreover, understanding how to deal with powers of 10 is essential, such as knowing that for 105/103 = 105-3 = 102 is helpful in many mathematical problems.
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%
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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Help Pls Help Pls Help Pls
Answer:
169
Step-by-step explanation:
13^2 is really just 13 times 13 which equals 169