Answer: floating variable.
Step-by-step explanation:
Answer:
Floating variable
Step-by-step explanation:
find the x and y intercepts of the line calculator
The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).
To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.
Substitute 0 for y in the equation.0 = 3x - 1
Add 1 to both sides1 = 3x
Divide both sides by 3x = 1/3
The x-intercept of the line is (1/3, 0).
To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.
Substitute 0 for x in the equation.y = 3(0) - 1y = -1
The y-intercept of the line is (0, -1).
Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).
Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.
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Which will help you answer, "To what power must a student raise the number 5 to have an answer of 625?"
Group of answer choices
$$log_{5} x=625$$5=625
l
o
g
5
x
=
625
log5625=
log
5
625
=
x
log5625=
log
5
625
=
x
log5=625
log
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5
=
625
log5=625
log
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5
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625
log6255=
log
625
5
=
x
log6255=
log
625
5
=
x
Answer:
4th power
5x5x5x5 = 625
Step-by-step explanation:
Answer: log5(625)=x
Step-by-step explanation:
Which lists the objects in order, from least to greatest momentum? w, x, y, z z, y, x, w z, x, w, y y, w, x, z
y, w, x, z lists the object in order, from least to greatest momentum. We know that momentum is the product of mass x velocity.
Hence,
p = mv
Where:
p = momentum
m = mass
v = velocity
Now you can answer your question by finding the momentum of each:
p = mv
p(w) = 12 × 5 = 60
p(x) = 15 × 8 = 120
p(y) = 18 × 2 = 36
p(z) = 28 × 10 = 280
With that, we can now arrange them in ascending order (least to greatest)
Y < W < X < Z
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Box A has a volume of 512 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were divided by 2. What is the volume of Box B? 256 m3 170 m3 128 m3 64 m3
Answer:
64 m3
Step-by-step explanation:
Just need to divide it
How do I solve this ? how do I know what it’s similar to?
The answers are :- 1) Δ ABC ~ Δ DEF, by AA rule and 2) Δ RTS and Δ MQP are not similar.
What are similar triangle?Similar triangles are the triangles that look similar to each other, but their sizes might not be exactly the same.
Given are two pairs of triangles, we need to determine if they are similar or not,
1) Δ ABC and Δ DEF :-
We know that, the sum of the interior angles of a triangle is 180°,
Therefore,
∠ A + ∠ B + ∠ C = 180°
60° + ∠ B + 79° = 180°
∠ B = 180°-139°
∠ B = 41°
In Δ DEF,
∠ F = 79° and ∠ E = 60°
That means,
∠ B ≅ ∠ F and ∠ E ≅ ∠ C
Since, we get two corresponding angles congruent,
Therefore, by the definition of similar triangles,
Δ ABC ~ Δ DEF, By AA rule.
2) Δ RTS and Δ MQP :-
∠ R ≅ ∠ M
RT / MQ = TS / QP = 4 / 5
RS / MP = 20 /26 = 10 / 13
That means,
RT / MQ = TS / QP ≠ RS / MP
Since, we have a condition in similarity, that if, in two triangles two corresponding sides are in equal ratio, and an angle between these sides are congruent then the triangle are similar by SAS rule,
But the angle R and angle M is not in between the sides having equal ratio,
Therefore, Δ RTS and Δ MQP are not similar.
Hence, the answers are :- 1) Δ ABC ~ Δ DEF, by AA rule and 2) Δ RTS and Δ MQP are not similar.
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The formula for the surface area(s) of a triangular prism is below. The height of the prism is represented by h, P is the perimeter of the base and B is the area of the base.solve the equation for the given variable
Answer:
h = (S - 2B) / P
Step-by-step explanation:
The formula for the surface area of a triangular prism is:
S = 2B + Ph
To solve this equation for a given variable, we need to isolate that variable on one side of the equation and simplify.
If we want to solve for h, we can start by subtracting 2B from both sides of the equation:
S - 2B = Ph
Next, we can divide both sides by P:
(S - 2B) / P = h
Therefore, the formula for the height (h) of a triangular prism in terms of its surface area (S), base area (B), and base perimeter (P) is:
h = (S - 2B) / P
h=(S-2B)/P
The formula for the surface area of a triangular prism is.
S=2b+ph
Solve for x. 3 over x-6 = 7 over x+2
You have a summer job cleaning swimming pools. Pools are cleaned with pumps and filters. Water is pumped into the filter to remove particles that make the water less clear. A unit called NTU¹ is used to measure how clear water is. For example, in a pool: . 0.1 NTU is considered clean, safe water. 0.9 NTU has too many particles to be clean, safe water. • In this task you will determine how long a pump needs to operate in order to clean the water in a large pool. Nephelometric Turbidity Units 3 JEWELEAH In the same large pool, the measurement is currently 0.8 NTU. When the pool opens in the morning, the measurement needs to be 0.4 NTU. Your manager claims that this will be done if you run the pump for 4 hours because 10% is 0.10 and 0.8 -0.10 0.10 - 0.10 - 0.10 = 0.4. He is incorrect. Complete the chart below to determine what the NTU measurement would be after running the pump for 4 hours. Round your answers to the nearest hundredth. Hours 0 1 2 3 4 hp NTU 0.80
After running the pump for 4 hours, the NTU measurement would be approximately 0.52.
How to solve this problemTo determine the NTU measurement after running the pump for 4 hours, we need to consider that the pump reduces the NTU by 10% each hour.
Here's the chart with the NTU values for each hour, rounded to the nearest hundredth:
Hours | NTU
0 | 0.80
1 | 0.72 (0.80 * (1 - 0.10) = 0.80 * 0.9)
2 | 0.65 (0.72 * (1 - 0.10) = 0.72 * 0.9)
3 | 0.58 (0.65 * (1 - 0.10) = 0.65 * 0.9)
4 | 0.52 (0.58 * (1 - 0.10) = 0.58 * 0.9)
After running the pump for 4 hours, the NTU measurement would be approximately 0.52.
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7- write the equation of the line that passes through points A(6,1) and B(9,4)
I
Answer:y=x-5
Step-by-step explanation: Use (y2-y1)/(x2-x1) fill those in and get (4-1)/(9-6) which is 3/3 and that is 1 for the slope. Now fill in y=1x with a given coordinate and try to find the y-intercept so we would do 1=1(6) and we need to make the right side equal to the left so we subtract 5. Ending us with y=x-5.
20
What is the sum of 7x4 + 2xy - 5y3 and 2x4+3xy + 2y3?
Step-by-step explanation:
7x^4+2xy-5y^3
+2x^4+3xy+2y^3
=9x^4+5xy-3y^3
The polynomial P(x)=3x5+x−1 has what order?
A. 6
B. 1
C. 5
D. 3
If your polynomial is \(P(x) = 3x^5 +x -1\) then it has the order of \(5\).
C. \(5\)
The polynomial P(x) = \(3x^{5} + x - 1\) has order Option(C) 5.
What is order of a polynomial expression ?The order of a polynomial expression is defined as the value of the highest power of dependent variable in the polynomial expression given. If there are more than one dependent variable then we have the orders for separate variables in the same polynomial expression.
How to find the power of given polynomial expression ?Given polynomial P(x) = \(3x^{5} + x - 1\) .
Thus the dependent variable here is x in the given expression.
The highest power of x in the polynomial is 5 and its order is also then 5.
Therefore, the polynomial P(x) = \(3x^{5} + x - 1\) has order of Option(C) 5.
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If the rent of flat is Rs. 3,60,000 for one year, find the monthly rent of the flat.
The division is one of the four fundamental arithmetic operations. The rent of the flat for each month will be Rs. 30,000.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that the rent of the flat for one year is Rs. 3,60,000. Since a year has 12 months. Therefore, the rent for each month will be,
\(\rm \text{Rent for one month} = \dfrac{Rs.\ 3,60,000}{12} = Rs.\ 30,000\)
Hence, the rent of the flat for each month will be Rs. 30,000.
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what is YR?
Question about chords
Answer:
_| R А H 0 Y K
Step-by-step explanation:
I looked it up... lol
The z score associated with the highest 10% is closest to
a. .0398
b. .5398
c. 1.28
d. -1.28
The z score associated with the highest 10% is closest to: option (c) 1.28
-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.
- Look up the 0.90 (90%) in a standard normal distribution (z score) table, which will give you the corresponding z score.
-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.
Therefore, the z score associated with the highest 10% is closest to 1.28.
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Tasha has a gift card to buy tickets to the movie theater. The initial value of the gift card is $120 . The function M(x)=120-12x represents the amount of money, M , in dollars, that is still left on the gift card after purchasing x movie tickets at a cost of $12 each.
Complete the statements.
The value of is 60/-60 which is viable/not viable in terms of the given context.
The solution to the linear function M(x) = 180 is of x = -5.
What is a Linear Function Equation?The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.
In this problem, the function is defined as follows:
M(x) = 120 - 12x.
M(x) represents the balance remaining on the gift card after x movie tickets priced at $12 are purchased.
The domain of the situation is given as follows:
x ≥ 0. {discrete}
As the number of tickets cannot assume negative neither decimal values.
The equation is:
M(x) = 180.
The solution is calculated as:
120 - 12x = 180
12x = -60
x = -60/12
x = -5.
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PLS HELP FAST
At a hockey game, a vender sold a combined total of 232 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:
The vendor sold 172 sodas and 58 hotdogs at the hockey game.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
let, the number of soda cans be 'x' and the number of hot dogs be 'y'.
So, From the given information x = 3y and the vendor sold a total of 232.
Therefore, x + y = 232.
3y + y = 232.
4y = 232.
y = 232/4.
y = 58.
So, He sold 58 hot dogs and 3×58 = 172 soda cans.
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convert 4.9 litres to kilograms and grams
How to convert litres into grams?
determine whether the series is convergent or divergent. if it is convergent, find its sum. (if the quantity diverges, enter diverges.) 1/3+ 2/9+1/27+2 81+1/243+2/729+...
The series is convergent with sum 5/8
A series is said to be convergent, if it converges to a value as the terms of series tends to infinity.
A series is said to divergent, it it does not converge to a value but keeps on either increasing or decreasing as the terms of series tends to infinity.
In the question ,
\(\frac{1}{3} +\frac{2}{9} + \frac{1}{27} +\frac{2}{81}+..\) is given series
dividing the series into two parts ,
\((\frac{1}{3} +\frac{1}{27} +\frac{1}{243}+..)\) + \((\frac{2}{9} + \frac{2}{81} + \frac{2}{729}+...)\)
Using infinite geometric series formula both the side ,
=> \(\frac{\frac{1}{3}}{1- \frac{1}{9}} + \frac{\frac{1}{2}}{1- \frac{1}{9}}\)
=> \(\frac{1/3}{8/9}+ \frac{1/2}{8/9}\)
=> \(\frac{3}{8} + \frac{1}{4}\)
=> \(\frac{5}{8}\)
Hence , the series is convergent.
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Which of the following are assumptions underlying the simple linear regression model y = Bo B1x e? Check all that apply The variance of the error term e varies for differing values of x. The error term is a random variable with an expected value of zero. The error term is normally distributed. The error term E follows a chi-square distribution.
The error term is a random variable with an expected value of zero.2. The error term is normally distributed
The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.
The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.
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On a number line, point F is at 4, and point G is at -2. Point H lies between point F and point G. If the ratio of FH to HG is 3:9, where does point H lie on the number line?
Here, we are required to determine the point where point H lie on the number line.
The point H is at point 2.5 on the number line.
The distance between point F and G on the number line is:
4 - (-2) = 6 numbers on the number line.
And since the ratio of FH to HG is 3:9
Then, let point H be at no. X on the number line.Therefore; FH/HG = (4 - x)/(x - (-2))
i.e 3/9 = (4 - x)/ (x +2).
By cross multiplication, 3x + 6 = 36 - 9x.
Therefore, 12x = 30
and, x = 2.5
Therefore, the point H is at point 2.5 on the number line.
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Answer:
2.5
Step-by-step explanation:
can anyone help me please
A flag pole and a building stand on the same horizontal level. From the point p at the bottom of a building the angle of the top T of the flagpole is 65°. From the point Q of the building the angle of elevation of the point T is 25°. If the building is 20m high. calvulate the distance PT, The heigt of the flagpole,The distance QT
Answer:
PT is approximately 28.2 m
The height of the flagpole is approximately 25.56 m
QT is approximately 13.15 m
Step-by-step explanation:
Part A
From the attached drawing of the building and the flagpole, we have;
∠TQP = 25° + 90° = 115°
∠TPQ = 90° - 65° = 25°
∴ ∠QTP = 180° - (115° + 25°) = 40°
By sine rule, we have;
\(\dfrac{\overline {QT}}{sin(\angle TPQ)} = \dfrac{\overline {PT}}{sin(\angle TQP)} = \dfrac{\overline {QP}}{sin(\angle QTP)}\)
\(\therefore \overline {PT} = sin(\angle TQP) \times \dfrac{\overline {QP}}{sin(\angle QTP)}\)
∴ PT = sin(115°) × 20 m/(sin(40°)) = 28.1992924 ≈ 28.2
PT ≈ 28.2 m
Part B
The height of the flagpole, Ta = PT × sin(∠TPa)
∴ Ta ≈ 28.2 × sin(65°) ≈ 25.56
The height of the flagpole, Ta ≈ 25.56 m
Part C
\(\overline {QT} = sin(\angle TPQ) \times \dfrac{\overline {QP}}{sin(\angle QTP)}\)
The distance QT= sin(25°) × 20 m/(sin(40°)) ≈ 13.15
QT ≈ 13.15 m
Elena is making a grape drink. the recipe calls for 5 parts strawberry juice to 3 parts water. elena would like to make 80 fluid ounces of the grape drink. how many fluid ounces of grape juice concentrate and water does elena need?
Answer:
50:30
Step-by-step explanation:
An electronics store sold 4% of the computers that were on sale.
If only 12 computers were sold, how many computers were not sold?
Answer:
288
Step-by-step explanation:
We can use a proportion to solve this problem:
4 : 100 = 12 : x
x = (12 x 100)/4 = 300 (total computers)
300 - 12 = 288
Hi can anyone help me with question 1 and 3
Answer:
292 and 2092
Step-by-step explanation:
Surface area:
Wall 1: 40 x 3 = 120m^2
Wall2: 40 x 3 = 120m^2
Wall 3: 15 x 3 = 45m^2
Wall 4: 15 x 3 = 45m^2
Ceiling: 15 x 40 = 600m^2
Total : 240 + 600 + 90 = 730
So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292
Total: 292 + 1800 = 2092
The total cost of paint would be 2092 dollars.
The area of the cuboid is the sum of product of the length, breadth of the given prism.
Surface area:
Wall 1: 40 x 3 = 120m^2
Wall2: 40 x 3 = 120m^2
Wall 3: 15 x 3 = 45m^2
Wall 4: 15 x 3 = 45m^2
Ceiling: 15 x 40 = 600m^2
The Total area: 240 + 600 + 90 = 730
So, The cost of painting = 730/25 x 10
= 29.2 x 10
= 292
Total: 292 + 1800 = 2092
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Consider the relation {(a, b) | a and b have the same age} on the set of all people.
a. Identify the properties of the relation R.
b. Identify the properties that the given relation satisfies.
The relation R is an equivalence relation, satisfying the properties of reflexivity, symmetry, and transitivity.
a. The relation R, which is defined as {(a, b) | a and b have the same age}, can be identified as an equivalence relation.
b. The relation R satisfies the properties of reflexivity, symmetry, and transitivity.
Reflexivity: For any person a, (a, a) belongs to R because a has the same age as itself.
Symmetry: If (a, b) belongs to R, then (b, a) also belongs to R because if a and b have the same age, then b and a also have the same age.
Transitivity: If (a, b) and (b, c) belong to R, then (a, c) also belongs to R because if a has the same age as b, and b has the same age as c, then a and c have the same age.
Therefore, the relation R is an equivalence relation that satisfies the properties of reflexivity, symmetry, and transitivity.
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Find the number of degrees in the third angle of
the triangle
The figure is not drawn to scale.
The measure of the missing angle I'd 100 43
Answer:
37
Step-by-step explanation:
triangles' inside angles always equal 180. so 100+43=143. 180-143=37
W+15x-9y+2z
Terms:
Coefficients:
In the problem given:
W + 15x - 9y + 2z
The term are single mathematical expressions that separate values.
In the expression, there is a + and -; these concludes 2 terms.
There are 3 coefficients next to each variable.
The coefficients are 15x, -9y, and 2z.
That means there are 3 coefficients.
Cheers
- ROR
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\( \sf{W \rightarrow coefficient = 1} \)\( \sf{15x \rightarrow coefficient = 15} \)\( \sf{-9y\rightarrow coefficient = -9} \)\( \sf{2z\rightarrow coefficient = 2} \)
____________________________________
\( \large \tt Solution \: : \)
Term refers to each variable or constant separated by a mathematical operator.
Coefficient refers to the numberic part of variable or a constant number present in an expression.
\(\qquad \tt \rightarrow \: 12a - 10b + 6\)
\( \large\textsf{Terms :} \)
\( \texttt{W } \)\( \texttt{coefficient = 1} \)
\( \texttt{15x} \)\( \texttt{coefficient = 15} \)
\( \texttt{-9y} \)\( \texttt{coefficient = -9} \)
\( \texttt{ 2z} \)\( \texttt{coefficient= 2} \)
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Please help I’ve been stuck on this for a while!
Todd purchased a jumper for his infant son. The jumper clamps to the top of a door frame and has a spring from
which the body of the jumper hangs to allow the infant to jump up and down. Included with the jumper are small
weights, each identical in
weight and size. The weights allow the user to adjust the initial height of the jumper by
stretching the spring a certain distance. Todd adds 8 of the weights and notes the spring stretches 2 centimeters.
a. According to Hook's Law, the amount that a spring is stretched, s, varies directly with the force applied to the
spring by the weights, F. Write an equation that relates F and s for the spring on the jumper
b. Using your equation from part a, find the stretch in the spring if Todd applies 14 of the included weights to the
spring
c. Using your equation from part
Hooke's law relates the force applied on an elastic material to its extension. Therefore, the answers to the questions are:
a. F = ks
b. The spring stretched 0.035 m (3.5 cm) when a weight of 14 N is included.
Hooke's law states that provided the extension limit of an elastic material is not exceeded, the force applied is directly proportional to its extension.
i.e F = ke
where F is the force applied to the material, k is the spring constant of the material, and e is the extension.
Considering the conditions in the given question then, we have:
a. The equation that relates F and S for the spring on the jumper is:
F = ks
b. Given that: F = 8 N, while s = 2 cm (0.02 m).
Then;
F = ks
8 = k(0.02)
k = \(\frac{8.0}{0.02}\)
= 400
k = 400 N/m
So that, the stretch in the spring when 14 N weight is included is:
F = ks
14 = 400 x s
s = \(\frac{14}{400}\)
= 0.035
s = 0.035 m
Thus the spring was stretched by 0.035 m (3.5 cm) when a weight of 14 N was included.
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K
29
6x – 5
1 point
What is the value of x, in degrees?
15
в ОООО
18.22
20
2x – 3
24
(х+8
L
J
30
1 point
What is the measure of ZL?
115
93
ОООО
28
37
Answer:
1.x=20
<L=37
Step-by-step explanation:
(x+8)+(2x-3)+(6x-5)=180
x+8+2x-3+6x-5=180
9x-8+8=180
9x=180
x=180/9
x=20
<L=2x-3
<L=2*20-3
<L=40-3
<L=37