Answer:
3
Step-by-step explanation:
(9^2) + (3^2) = 90
81 + 9 = 90
According to the graph of H(w) below, what happens when w gets close to
zero?
H(w)
(5.0, 20.00)
O A. H(W) gets very large.
B. H(w) moves left.
O c. H(w) moves right.
O D. H(w) gets very small.
The graph of the function H(w) showing the point (5.0, 20.00), in which as the value w decreases , H(w) increases and vice versa, is an inversely proportional relationship. According to the graph, as w gets close to zero, we get;
A. H(w) gets very large
What is an inversely proportional relationship?An inversely proportional relationship is one in which as the input variable decreases, the output variable increases and vice versa.
The function, H(w), indicates that the input or independent variable is w and the dependent variable is H(w).
The graph is in the form of a graph of an inverse relationship between H(w) and w, such that we get;
H(w) ∝ 1/w
Therefore, as the value of w decreases less than one (1), the value of H(w) increases exponentially.
The correct option is therefore, when w gets close to zero from the right;
A. H(w) gets very large
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In the diagram, A ABC and A CDA are congruent.
А.
B
7
5
D
4
What is the length of AD?
Zane is washing cars to help pay for a school trip. He gets paid $8 for every car he washes and made a total of $64 on Saturday. Write an equation to show how many cars Zane washed on Saturday.
8 − x = 64
64x = 8
8 + x = 64
8x = 64
Answer:
I just to the test
It D: 8x=64
Answer:
D: 8x = 64
Step-by-step explanation:
($8) equals the amount he makes for washing 1 car
($64) is the total amount Zane has made from washing cars
(X) is equal to how many cars he has washed for the total to be $64
Now, all we have to do is write down an equation that shows how we can find how many cars have been washed for him to get his sum of $64.
8 times x (x is equal to the number of cars he's washed) so 8 times something (or x) gives you the amount of money Zane has made which would be the only viable answer to the question.
8 - x = 64 - Incorrect
You would not be subtracting the amount of cars Zane has washed by the amount of money he is making per car.
64x = 8 - incorrect
This would mean you're multiplying the total amount of money Zane has made, by how many cars he's washed, which then equals the amount he makes per car. Doesn't make sense ik.
8 + x = 64 - incorrect
While this could look like a viable answer to what they're asking, don't be tricked. You have to multiply the number of cars Zane has washed by the amount he makes per car, otherwise you would just be adding 8 plus the number of cars he washed which does not equal $64.
Hope this helped:)
Can we form a triangle with length 4cm 5cm 9cm?.
Answer:
No. It is not possible to construct a triangle with lengths of its sides 4cm, 5cm and 9cm because the sum of two sides is not greater than the third side:
5 + 4 is not greater than 9.
Step-by-step explanation:
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If point Q is between endpoints P and R on a segment, PQ = 4x - 12, QR = 2x + 7, and PR = 31, then find the value of x.
Answer:
x = 6
Step-by-step explanation:
Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,
PR = PQ + QR
Putting the given values of PQ ,QR & PR
=> 4x - 12 + 2x + 7 = 31
=> 6x - 5 = 31
=> 6x = 31 + 5
= 36
=> x = 36/6 = 6
Question 3 Find whether the vectorrs are parallel. (-2,1,-1) and (0,3,1)
a. Parallel
b. Collinearly parallel
c. Not parallel
d. Data insufficient
To determine whether the vectors (-2,1,-1) and (0,3,1) are parallel, we need to compare their direction. If they have different directions, they are not parallel. the correct answer is option c) Not parallel.
To check if two vectors are parallel, we can compare their direction vectors. The direction vector of a vector can be obtained by dividing each component of the vector by its magnitude. In this case, let's calculate the direction vectors of the given vectors.
The direction vector of (-2,1,-1) is obtained by dividing each component by the magnitude:
Direction vector of (-2,1,-1) = (-2/√6, 1/√6, -1/√6)
The direction vector of (0,3,1) is obtained by dividing each component by the magnitude:
Direction vector of (0,3,1) = (0, 3/√10, 1/√10)
Comparing the direction vectors, we can see that they are not equal. Therefore, the vectors (-2,1,-1) and (0,3,1) are not parallel. Hence, the correct answer is option c) Not parallel.
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The rational number 6 3/8 is equal to _____
\(\huge\boxed{6.37500}\)
Explanation...
Let's divide the numerator by the denominator.
\(\boxed{3\;Divided\;by\;8=0.375}\)
Now, lets add the whole number (6) to 0.375.
\(\boxed{6+0.375=6.37500}\)
That's your final answer. (Above)
What determines where the graph will cross the x-axis?.
The graph will cross the x-axis if the multiplicity of the real root is odd.
What is polynomial?
In arithmetic, a polynomial is an expression consisting of indeterminates and coefficients, that involves solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables.
Main body:
For polynomials, the graph will cross the x-axis if the multiplicity of the real root is odd, and just touch the x-axis if the multiplicity of the real root is even. (The multiplicity of the root is the number of times it occurs as a root)
(a) y=(x+1)^2(x-2) The graph crosses at x=2 (multiplicity 1) but touches at x=-1 (mulitplicity 2)
(b) y=(x-4)^3(x-1)^2 The graph crosses at x=4 (multiplicity 3) but touches at x=1 (m=2)
(c) y=(x-3)^2(x+4)^4 The graph touches at x=3 and x=-4 as the multiplicities are both even.
The graphs: (a) black, (b) red, (c) green
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A point Q is 24 km away and at a bearing of 072 degrees from P. From Q a man walks at a bearing of 320 degrees, to a point R, located directly north of P. Calculate the distance of PR and QR.
Answer:
RQ=35.51 km
PR=34.62 km
Step-by-step explanation:
Bearing of Q from P = 72 degrees
The complementary angle of 72 degrees is 18 degrees.Using alternate angles, we get the first angle at Q to be 18 degrees.Bearing of R from Q=320 degrees
320=270+50
Therefore, the second angle of Q is 50 degrees.
\(\angle P=72^\circ\\\angle Q=68^\circ\\\angle R=180^\circ-(72^\circ+68^\circ)=40^\circ\)
Using Law of Sines
\(\dfrac{r}{\sin R} =\dfrac{p}{\sin P} \\\dfrac{24}{\sin 40} =\dfrac{p}{\sin 72} \\p=\sin 72 \times \dfrac{24}{\sin 40}\\\\p=RQ=35.51$ km\)
Using Law of Sines
\(\dfrac{q}{\sin Q} =\dfrac{r}{\sin R} \\\dfrac{q}{\sin 68} =\dfrac{24}{\sin 40} \\q=\dfrac{24}{\sin 40}\times \sin 68\\\\q=PR=34.62$ km\)
if $10^{51} - 9$ is written as an integer in standard form, what is the sum of the integer's digits?
Notice the pattern:
10² = 100, so 10² - 9 = 91 with a digital sum of 9 + 1 = 10
10³ = 1000, so 10³ - 9 = 991 with a digital sum of 2•9 + 1 = 19
10⁴ = 10000, so 10⁴ - 9 = 9991 with a digital sum of 3•9 + 1 = 28
Then for an arbitrary power of 10, we have
\(10^n = 1\underbrace{00\ldots000}_{n\,\rm 0s} \implies 10^n - 1 = \underbrace{999\ldots99}_{n-1\,\rm9s}1 \\\\ \implies \text{digital sum} = 9(n-1)+1 = 9n - 8\)
When \(n=51\), the digital sum is 9•51 - 8 = 451.
in a regression equation, which symbol represents the dependent variable?
a. y
b. x
c. e
d. r
e. none of the above
The symbol that represents the dependent variable in a regression equation is:
a. y
The dependent variable is the variable that is being predicted or explained by the independent variable(s) in the regression analysis. It is typically represented by the symbol "y" in the regression equation. The independent variable(s) are usually represented by the symbol "x" or other appropriate letters.
In a regression equation, the dependent variable is the variable that we are trying to predict or explain based on the independent variable(s). It is the variable whose value is influenced or determined by the independent variable(s). For example, if we are studying the relationship between income (dependent variable) and education level (independent variable), we want to understand how education level affects or predicts income. In this case, income would be represented by the symbol "y" in the regression equation, as it is the variable we are interested in explaining or predicting. The independent variable(s), such as education level, would be represented by the symbol "x".
Therefore, the correct answer is option a. y.
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how is everyone's day? pt.2 still doing missing work
Answer:
I’m in classss
Step-by-step explanation:
please help with math!!
Answer:
Trinomial
Step-by-step explanation:
If there is 1 term, monomial
2 term - binomial
3 term- trinomial
What is the value of the expression 3/5×1/6 Jane chose D as the correct answer how did she get that answer?
Step-by-step explanation:
= 3/5 × 1/6
= (3 × 1)/(5 × 6)
= 3/30
= 1/10
Answer:
\( \sf \frac{1}{10} \)
Step-by-step explanation:
\( \sf = \frac{3}{5} \times \frac{1}{6} \)
\( \sf = \frac{3 \times 1}{5 \times 6} \)
\( \sf = \frac{1 \times 1}{5 \times 2} \)
\( \sf = \frac{1}{10} \)
Ide whole numbers
1
franny spent 35 minutes walking around a track. she made 7 laps around the track.
it took franny the same amount of time to walk each lap. how many minutes did it take her to walk each lap?
оа.
28
ов.
5
oc. 245
od. 1
reset
submit
It took Franny 5 minutes to walk each lap. The correct option is B.
Franny spent a total of 35 minutes walking around the track and made 7 laps around the track, so the total time for all 7 laps is 35 minutes. Let's assume it took Franny t minutes to walk each lap. Then, we can set up the following equation:
7t = 35
We can solve for t by dividing both sides of the equation by 7:
t = 35/7 = 5
Therefore, the correct option is B.
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HELP
Find the circumference of this circle
using 3 for T.
C [?]
Answer:
3
Step-by-step explanation:
3
Is the relationship between the temperature scales proportional?Why or why not?
Answer: No, see explanation below
Step-by-step explanation:
For the relationship between the temperature scales to be proportional, the ratio (the number we get when dividing the given temperature in Celsius by the temperature in Fahrenheit) has to be constant.
\(\frac{0}{32}=0\\\frac{10}{50}=0.2\\\frac{20}{68}=0.29\)
In the example, I give, we can see that is not the case. It applies to any value as well, therefore the relationship between the temperature scales is NOT proportional
Anyone please help me
Answer:
We do not know the angle of P or of U
Step-by-step explanation:
Since we do not know the anlge for certain that is between the "Markerd" sides (p,
Answer:
because the angle isn't between 2 equivalent sides
sorry my English isn't that good
two sides of a triangle have lengths 8 ft and 12 ft. write a compound inequality that describes the possible lengths of the third side, called x.
The compound inequality that describes the possible lengths of the third side, called x, is 4 < x < 20.
Using the triangle inequality theorem, it is possible to find the compound inequality that describes the possible lengths of the third side of a triangle. According to the theorem, the sum of any two sides of a triangle must be greater than the third side. If a, b, and c are the lengths of the sides of a triangle, then the following conditions must be met to form a triangle:
a + b > c
b + c > a
a + c > b
So, if we let the third side of the triangle be x, we can form the following inequalities using the theorem:
8 + 12 > x
and
12 + x > 8
and
8 + x > 12
This simplifies to:
20 > x
and
12 > x - 8
and
20 > x - 8
These can be further simplified to:
x < 20
x > 4
and
x < 12
To write a compound inequality that describes the possible lengths of the third side x, we can combine the first and third inequalities as: 4 < x < 20. Therefore, the possible lengths of the third side are between 4ft and 20ft (exclusive of both endpoints).
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resolve into factors:- 49m² + 154m + 121
Answer:
4m^2 +154m +12149m^2 +( 77+77)m +121
49m^2 + 77m +77m +121
7m (7m +11) +11 (7m +11)
(7m+11) (7m+11)
hope it was helpful
Answer:
\((7m + 11 {)}^{2} \)
Step-by-step explanation:
\(49 {m}^{2} + 154m + 121\)
➡️ \( {7}^{2} {m}^{2} + 2 \times 7m \times 11 + {11}^{2} \)
➡️ \((7 m{)}^{2} + 2 \times 7m \times 11 + {11}^{2} \)
➡️ \( = (7m + 11 {)}^{2} \) ✅
If you are given a continuous function that has a domain of [-3, 4] which of the following values are included in the given domain?
A continuous function that has a domain of [-3, 4] will include all the values as -3,-2,-1,-0,-1,-2,3,4
What do you mean by continuous function?
In mathematics, a continuous function is one where a continuous variation of the argument results in a continuous variation of the function's value (i.e., a change without a leap). This indicates that there aren't any discontinuities, or sudden changes in value. More specifically, a function is continuous if it is possible to guarantee that its value will not vary significantly even with arbitrarily tiny changes to its parameter. Any function that is not continuous is said to be discontinuous.
It is given that a continuous function has a domain of [-3,4]
According to the definition of closed interval,
[-3,4] will contain all the elements between them and including them.
Therefore, [-3,4] will contain elements as -3,-2,-1,-0,-1,-2,3,4
Hence, a continuous function that has a domain of [-3, 4] will include all the values as -3,-2,-1,-0,-1,-2,3,4
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A taxi company charges $3 per ride plus $1.50 for each mile traveled. Andrea wants to spend no more than $24 on a taxi ride. How many miles can Andrea travel? Select all that apply. PLEASE HELP!!
A. 18
B. 16
C. 14
D. 12
E. 10
Answer:
losien yo hablo español espero que alguien mas te ayude
Answer:
Your answer would be C , D, E
Step-by-step explanation
Have a Great day!
Seriously need help with this question or I will fail my senior year
Here's what I got
B. √5
Ac. 100
2x²+25x+50
a=2 b=√5 c=50
ac=2•50=100
B=√5
ac=100
Gil's aunt cut his birthday cake into 32 equal pieces. 18 pieces were eaten at his birthday party. What fraction of the cake was left?
Answer:
16/9 is left
Can someone help me please
Step-by-step explanation:
5⁴×5² = 5⁶
10⁶/10³ = 10³
so, we have 5⁶/10³ = 15.625
and in scientific notation we have to write the first digit (which is not 0) in front of the decimal point, and the following digits of the number as pairings after the decimal point, and then indicate a multiplication with a power of 10 to tell us the right position of the decimal point in the plain number.
so, 15.625 as plain number is
1.5625 × 10¹ in scientific notation.
therefore option 1 is correct.
The question is in the image
The value of f(2) of the given polynomial by direct substitution is: 45
How to solve polynomial functions?A polynomial function is defined as a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x + 3 is a polynomial that has exponent equal to 1.
We are given the polynomial function as:
f(x) = 6x³ - 2x + 1
Now, we want to find f(2) by direct substitution which means we are just going to put 2 for x directly into the polynomial to get:
f(2) = 6(2)³ - 2(2) + 1
f(2) = 48 - 4 + 1
f(2) = 45
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A crane has a cable with a breaking strain of 6400 kg measured to 2 significant figures. It is used to lift crates which weigh 90 kg measured to the nearest 10 kg. What is the greatest number of crates that can safely be lifted at one time without breaking the cable? Some working must be shown.
please its homework due for monday help!
71 is the greatest number of crates that can safely be lifted at one time without breaking the cable .
To calculate : number of crates that can be lifted
Given : breaking strain of 6400 kg measured to 2 significant figures . weight of crates = 90 kg
Number of crates that can be lifted = weight of crane / weight of each crate
Therefore n = 6400 / 90
n = 71.11
So , 71 is the greatest number of crates that can safely be lifted at one time without breaking the cable because , if 72 if taken would break the cable .
Therefore , 71 crates can be lifted .
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Answer:
66 crates
Step-by-step explanation:
100/2=50
lower bound of 6400kg = 6350kg
10/2=5
upper bound of 90kg = 95kg
6350kg/95kg=66kg
Find the interest if:
Principal = $6500
Rate = 2%
Time = 3 years
Step-by-step explanation:
yearly interest would be $325
monthly interest is $27.08
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Jon drove 240 miles to get to the Grand Canyon. If the drive took 4 hours, what is Jon's average rate of speed?
Answer:
60 miles per hour
Step-by-step explanation:
Average speed = miles drove/ hours
=> 240/4
=> 60 miles per hour
Answer:
Jon drove 60 miles per hour.
Step-by-step explanation:
Since john drove 240 miles in 4 hours that means you need to divide 240 by 4, which is 60. An easier example can be 60 x 4.
Identify the polygon that has vertices J(12,−4), U(0,−4), S(4,3), and T(8,3), and then find the perimeter and area of the polygon.
Answer:P= 16 + 2\|65 units; A= 56 units2
Step-by-step explanation: