Answer:
May is 52 inches tall
Step-by-step explanation:
stephan=46in
sister=6+stephan(in inches)=6+46=52
Graph each equation using the intercepts. Rewrite in slope intercept form if necessary.5x+3y=15(3,0)(0,5)
Answer:
Explanation:
The given equation is
5x + 3y = 15
The points to be plotted of on the graph are
(3, 0)
(0, 5)
The graph is shown below
To rewrite as slope intercept equation, it becomes
3y = 15 - 5x
Dividing both sides by 3, we have
y = 3 - 5x/3
y = - 5x/3 + 3
The slope intercept equation is
y = - 5x/3 + 3
Select the correct answer. Simplify the following expression.
The simplified exponential expression for this problem is given as follows:
D. 1/49.
How to simplify the exponential expression?The exponential expression for this problem is defined as follows:
\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)
When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.
Hence the exponent is given as follows:
-5/6 - 7/6 = -12/6 = -2.
The negative exponent is moved to the denominator, hence:
1/7² = 1/49.
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Hannah has a aquarium with 25 Liter of water in it.How many milliliters of water are in the aquarium
Answer:
25000
Step-by-step explanation:
25 * 1000 = 25000
25000 milliliters
Convert 25 liters to milliliters
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Find the solution of this system of equations
-X + 8y = -35
-X - 9y = 50
Answer: (-5,-5)
Step-by-step explanation: The two lines meet up at (-5,-5)
Answer:
y = 5
x= 75 ( not confident about x)
Tower one, a cube with a hexagonal prism measures 15.6cm. Tower two, a cube with a cylinder measures 18.3cm. Tower 3, a hexagonal prism with a cylinder measures 13.9cm. What is the height of the 4th tower when all three shapes are used?
Answer:
\(Tower 4 = 23.9cm\)
Step-by-step explanation:
Given
Tower one = 15.6 cm
Tower two = 18.3 cm
Tower 3 = 13.9 cm.
Required:
Height of the 4th tower
Represent a cube by X; a cylinder by Y and a hexagonal prism by Z
Tower one, a cube with a hexagonal prism = X + Z = 15.6
Tower two, a cube with a cylinder = X + Y = 18.3
Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9
\(X + Z = 15.6\) ----- Equation 1
\(X + Y = 18.3\) ----- Equation 2
\(Z + Y = 13.9\) ----- Equation 3
Subtract equation 1 from 2
\((X + Y = 18.3) - (X + Z = 15.6)\)
\(X - X + Y - Z = 18.3 -15.6\)
\(Y - Z = 18.3 -15.6\)
\(Y - Z = 2.7\) ---- Equation 4
Add Equation 4 to Equation 3
\((Y - Z = 2.7) + (Z + Y = 13.9)\)
\(Y + Y - Z + Z = 2.7+ 13.9\)
\(2Y = 2.7+ 13.9\)
\(2Y = 16.6\)
Divide both sides by 2
\(\frac{2Y}{2} = \frac{16.6}{2}\)
\(Y = \frac{16.6}{2}\)
\(Y = 8.3cm\)
Substitute \(Y = 8.3cm\) in Equation 2 and 3
\(X + Y = 18.3\) ----- Equation 2
\(X + 8.3 = 18.3\)
Subtract 8.3 from both sides
\(X + 8.3 - 8.3 = 18.3 - 8.3\)
\(X = 18.3 - 8.3\)
\(X = 10cm\)
\(Z + Y = 13.9\) ----- Equation 3
\(Z + 8.3 = 13.9\)
Subtract 8.3 from both sides
\(Z + 8.3 - 8.3 = 13.9 - 8.3\)
\(Z = 13.9 - 8.3\)
\(Z = 5.6cm\)
So, we have that
\(X = 10cm\)
\(Y = 8.3cm\)
\(Z = 5.6cm\)
The question states that the 4th tower is made up of the three shapes;
This implies that;
\(Tower 4 = X + Y + Z\)
\(Tower 4 = 10cm + 8.3cm + 5.6cm\)
\(Tower 4 = 23.9cm\)
The height of the 4th tower is 23.9cm
I need help with 9, 10 would be nice as well. But I’ll take what I can get :)
or, 3x = 5x-6
or, 6 = 5x - 3x
or, 6 = 2x
or, x = 6 ÷ 2 = 3
So, XA= 3x
= 3(3)
= 9 units
Hence, XY= XA + AY
= 3x + (5x-6)
= 8x-6
= 8(3)-6
= 24-6
= 18
Your answers are:XA = 9 unitsXY = 18 unitsfrom the given set of numbers which is an odd one out, 2,6,28,23,7,64
Calculate the side lengths a and b to two decimal places
Answer:
E
Step-by-step explanation:
using the Sine rule in Δ ABC
\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C
we require to calculate ∠ C
∠ C = 180° - (64 + 85)° = 180° - 149° = 31°
then to find a , using
\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)
\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )
a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )
then to find b , using
\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )
b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )
Help thank you! A B C or D
Answer:
below
Step-by-step explanation:
'x' cannot be zero because you would then have an illegal fraction with a zero denominator
the only interval listed that does not include zero is ( 1, +inf)
Answer:
D.
Step-by-step explanation:
f(x) = |x|
|x| = x for x > or = 0
|x| = -x for x < 0
At x = 0
Left limit = Right limit = Function value = 0
|x| = is continuous at x = 0.
Left derivative (at x = 0) = -1
Right derivative (at x = 0) = 1
Find the slope and the y-intercept of the line with the equation 8y - x + 7 = 0.
A normally distributed data set has a mean of 0 and a standard deviation of 0.5. Which is closest to the percent of values between –1 and 1?
34%
50%
68%
95%
As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.
What is equation?A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.
For a normally distributed data set with a mean of 0 and a standard deviation of 0.5, the proportion of values between -1 and 1 is most closely related to 68%.
Approximately 68% of the data in a normal distribution lies within one standard deviation of the mean, which explains why. One standard deviation below the mean is -0.5, and one standard deviation above the mean is 0.5 since the mean is 0 and the standard deviation is 0.5. As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.
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Pls answer porperlly
Answer: I hope this helps.
Step-by-step explanation:
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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Please see screenshot.
Answer:
See below
Step-by-step explanation:
Please help. Question #12
Answer:
Step-by-step explanation:
In the diagram at right, DE is a midsegment of triangle ABC. If the area of triangle ABC is 96 square units, what is the area of triangle ADE? Explain how you know.
The area of triangle ADE is,
⇒ A = 48 square units
We have to given that,
In the diagram , DE is a midsegment of triangle ABC.
And, The area of triangle ABC is 96 square units
Now, We know that,
Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.
Hence, the area of triangle ADE is half the area of triangle ABC,
That is,
A = 96 / 2
A = 48 square units
Thus, The area of triangle ADE is,
⇒ A = 48 square units
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Which is the correct option?(attached)
Answer:
I believe it's D
Step-by-step explanation:
The quotient of 50 and n
Answer:
D is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Help please!
S = 180m
How many strides would a runner take during a 1-hour run (60 min)
The number of strides the runner will make during 1 hour run will be =
10,800.
How to calculate the total number of strides made by the runner in a hour?To calculate the distance or number of strides made by the runner in an
hour, the graph given above is considered as follows;
The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.
From the graph
20 minutes= 3600 strides
60 minutes = X strides
make X the subject of formula;
x= 3600×60/20
= 216000/20
= 10,800
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f(x) = -2x^2+3x-6
how does the function open
The bar diagram represents the ratio of points scored by the home team and the visiting team in a basket ball game. How many points did the visiting team score if the home team scored 84 points?
Answer:
60 points.
Step-by-step explanation:
Bar diagram which represents the ratio of the points earned by the home team and visitor's team.
Fro the bar diagram,
Ratio of the points earned = \(\frac{\text{Points earned by the home team}}{\text{Points earned by visitor's team}}\)
= \(\frac{7}{5}\)
If the points earned by the home team = 84
\(\frac{\text{Points earned by the home team}}{\text{Points earned by visitor's team}}\) = \(\frac{7}{5}\)
\(\frac{84}{\text{Points earned by visitor's team}}\) = \(\frac{7}{5}\)
Points earned by the visitor's team = \(\frac{84\times 5}{7}\)
= 60
Therefore, 60 points were earned by the visitor's team.
Two 8-foot-long 2 × 4s are cut into sections of equal length. Board A is cut into 9 equal sections, of which 5 are used. Therefore, of the board has been used; of it remains. Board B is cut into 7 equal sections, of which 4 are used. That means of the board has been used; of it remains. Which has the longest remaining section, Board A or Board B?
Answer:
Board A
Step-by-step explanation:
Since the boards were split into equal sections, we can think of them as fractions.
\(\frac{5}{9}\) of Board A was used, meaning \(\frac{4}{9}\) of Board A remains.
\(\frac{4}{7}\) of Board B was used, meaning \(\frac{3}{7}\) of Board B remains.
To give these fractions common denominators, we multiply the numerator and denominator by the opposite denominator.
4/9 * 7/7 = 28/63
3/7 * 9/9 = 27/63
28/63 is greater than 27/63. This means that Board A has the longest remaining section.
Board A has the longest portion remaining section.
What is the Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
Two 8-foot-long 2 × 4s are cut into sections of equal length. Board A is cut into 9 equal sections, of which 5 are used.
To determine the longest remaining section, Board A or Board B
The boards can be considered as ratios since they have been divided into equal portions.
5/9 of Board A was used, while Board A's significance is still unchanged.
4/7 of Board B was used, while Board B's significance is still unchanged.
We multiply the numerator and denominator by the opposing denominator to give these ratios common denominators.
⇒ 4/9 * 7/7 = 28/63
⇒ 3/7 * 9/9 = 27/63
So 27/63 is greater than 28/63.
This indicates that Board A has the longest portion remaining section.
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The Bookstall Inc. is a specialty bookstore concentrating on used books sold via the Internet. Paperbacks are $1.35 each, and hardcover books are $3.50. Of the 60 books sold last Tuesday morning, 55 were paperback and the rest were hardcover. What was the weighted mean price of a book? (Round your answer to 2 decimal places.)
Answer:
dddddd okaksy ogvurn
Step-by-step explanation:
d
Abe digs a hole at a steady rate of (meaning negative) 1.2 feet every hour.
Consider ground level to be 0.
What value represents the elevation of the hole relative to ground level after digging for 2.5 hours?
Enter your answer in the box.
An athlete eats 0.35 of protein per week while training. How much protein will she eat during 6 weeks of training?
Answer: 0.35
Step-by-step explanation:
Times 7 = 2. 45kg
Which sequence shows the numbers in order from least to greatest?
A. -2.14<3.16227766017<2.8
B. 2.8<3.16227766017<2.14
C. 2.14<3.16227766017 <2.8
D. 2.14<2.8<3.16227766017
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.
They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:
< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?
A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.
The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.
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A scuba diver is at an elevation of −18 ft. She then descends 30 ft deeper. What is the scuba diver’s new elevation?
Answer: -48
Step-by-step explanation:
-18-30 = -48
Subtract 4x + 6 from 7 + 2x?
Answer:
1-2x
Step-by-step explanation:
\((7+2x)-(4x+6)=7+2x-4x-6=1-2x\)
y = -2(x + 5)(x + 1)
Set the factor (x + 5) = 0 and solve
Answer: \(x=-5\)
Step-by-step explanation:
\(x+5=0 \implies x=-5\)