Answer:
4
Step-by-step explanation:
\(256^{0.16}\cdot 256^{0.09}=\\256^{0.16+0.09}=\\256^{0.25}=\sqrt[4]{256}=4\)
Hope this helps!
here a subtraction problem that has been solved incorrectly what is the right way 74-25=59
Step-by-step explanation:
74-25 is not equal to 59 the correct answer is 74-25=49
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
A. The area of the triangle is 108 mm².
B. The area of parallelogram is 286√2 in²
How to find the area of each parallelogram of triangle?A. Area of a triangle (A) = 1/2 * Base (b) * Height (h)
We have:
b = 18 mm
h = 12 mm
Thus:
A = 1/2 * 18 * 12
A = 108 mm²
B. The area of parallelogram is given by:
A = b * h
where b is the base and h is the height
We have:
b = 26 in
Using trig.:
sin 45 = h/22
h = 22 * sin 45
h = 11√2 in
Thus,
A = 26 * 11√2
A = 286√2 in²
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center (-4, -7), tangent to x = 2
Answer:
(x + 4)^2 + (y + 7)^2 = 36
Step-by-step explanation:
The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.
The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:
d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)
In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:
d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)
d = |-6| / sqrt(1)
d = 6
Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
Substituting the values we have found, we get:
(x + 4)^2 + (y + 7)^2 = 36
This is the equation of the circle that satisfies the given conditions.
!!!!!!(VERY URGENT)!!!!!!! Find the area of the composite shape given in the figure.
Answer:
43.7 square units
Step-by-step explanation:
you can create 3 rectangles by extending the line through point A until it meets the top line, do same with extending line through point B
the area of the rectangle on left is 6.5 x 4, which is 26
the area of the center rectangle is 1.8 x 3.5, which is 6.3
the area of the rectangle on right is 3.8 x 3, which is 11.4
If you put cold water in a cup and then put the same temperature water in it would it get colder or would it stay the same temperature?
PLS HELPPPPPPPPPPPPPPPP!!!!!!!!!!!
(Click the picture)
1/6 of 12
1/6 of 24
1/6 of 36
1/6 of 48
1/6 of 0
Hey, sorry about the guy that gave you a complete joke answer. I got you brother.
In order, the answers are 2, 4, 6, 8, and 0
If f(x)= 1/sqr x and g(x)= 1-x^2, find f(g(x)). pls help i’ll rate brainliest
Answer:
The choice b.
\(f(g(x)) = \frac{1}{ \sqrt{1 - {x}^{2} } } \)
I hope I helped you^_^
WILL MARK BRAINLIEST AND 50 PTS This table shows the minutes students spent studying for their science exam and the scores they received. SHOW YOUR WORK
Study time (min) 19 12 34 10 17 42 60 15 9 21 30 50
Exam score 82 78 90 78 85 97 100 85 73 90 91 98
Use a graphing calculator to model the data using a linear function.
What is the correlation coefficient of the data?
−0.74
−0.48
0.93
0.98
Answer:
The answer is 0.93
Step-by-step explanation:
I took the test
Si el volumen de una caja de cartón de forma cúbica es de 216 dm³
The volume of the cardboard box is approximately 13197.402 cubic inches.
The volume of a cardboard box is 216 dm³, we can convert it to the English system of measurements.
1 dm (cubic decimeter) is equivalent to 1 liter.
To convert dm³ to cubic inches, we can use the following conversion factors:
1 dm³ = 61.0237 cubic inches
Using this conversion factor, we can calculate the volume of the box in cubic inches:
The cube carton volume is 216 dm3 and the cube edge value is 6 dm.
The volume of the cube is calculated by dividing the edge values. In other words, volume = edge 3.
To find the edge (side) value, you can solve for the volume formula as follows:
edge 3 = volume.
edge = ∛ volume,
Where ∛ is the cube root.
Applying this formula to the given problem gives edge = ∛(216 dm³).
Edge = 6dm. Therefore, the side (edge) value of the cube is 6dm.
Volume (cubic inches) = 216 dm³ * 61.0237 cubic inches/dm³
= 13197.402 cubic inches
Question :- If the volume of a cubic cardboard box is 216 dm³
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PLEASE HELP ME!! I NEED HELP WITH THIS!!
Answer:
D
Step-by-step explanation:
To reflect over the Y axis, the X values of each coordinate must be made into opposites. So a coordinate with the form (x,y) will become (-x,y) when reflected across the Y axis, which is needed here.
The length of a rectangle is 4 inches longer than it is wide. If the area is 32 square inches, what are the dimensions of the rectangle?
Answer:
width = 4in
length = 8in
Step-by-step explanation:
A = LxW = 32
L = W + 4
W(W+4) = 32
W² + 4W - 32 = 0
(W + 8)(W - 4) = 0
W ≠ -8 (dimensions cannot be negative)
W = 4in
L = W+4 = 4+4 = 8in
The set of all letters in the word 'plus' is
Solve for x.
x+6= √2x+29 +9
The solution to the equation is x = 10 or x = -2.
What is an equation?An equation refers to a mathematical expression showing that two expressions are equal.
It must have variables (e.g. a, c, x, y), constants (like 1, 13, 50, etc), and mathematical operations (like +, -, *, /).
To solve for x, we shall start with the given equation:
x + 6 = √(2x + 29) + 9
Subtract 9 from both sides:
x - 3 = √(2x + 29)
Square both sides:
\((x - 3)^2\) = 2x + 29
Expand the left side:
\(x^2\) - 6x + 9 = 2x + 29
We then subtract 2x and 9 from both sides:
\(x^2\) - 8x - 20 = 0
Next, actor the quadratic equation:
(x - 10)(x + 2) = 0
Therefore, the equation x = 10 or x = -2
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You are studying 112 returning combat veterans with deployment related injuries. You are testing a cognitive impairment screen to detect traumatic brain injuries (TBI). There are six veterans with confirmed TBI and five of them screen positive. There are 93 veterans who do not have TBI and screen negative. There are a total 18 veterans who screen positive. One of the veterans has a negative screen and wants to know the probability that he does not have a TBI. You tell him:_________
Answer:
0.9894 = 98.94% probability that he does not have a TBI.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Negative screen
Event B: Does not have a TBI.
Probability of a negative screen:
93 are negative and do not have a TBI.
1 is negative and has a TBI.
Out of 112.
So
\(P(A) = \frac{93+1}{112} = \frac{94}{112}\)
Probability of a negative screen and not having a TBI:
93 are negative and do not have a TBI, out of 112, so:
\(P(A \cap B) = \frac{93}{112}\)
One of the veterans has a negative screen and wants to know the probability that he does not have a TBI.
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{93}{112}}{\frac{94}{112}} = \frac{93}{94} = 0.9894\)
0.9894 = 98.94% probability that he does not have a TBI.
e
B
0
14. The table shows the number of inches of
rain over five months. What would be an
appropriate display of the data? Explain.
(Lesson 2)
Month
Number
of Inches
of Rain
Jan. Feb. Mar.
1.5
2.2
3.6
Apr.
5.3
May
4.8
The graph of the given function is attached.
Given is a function for the rainfall in 5 months in inches.
We need to display the data,
So, as we can see that the data is not showing any proportion or pattern,
So, it can be displayed as a line chart.
Hence the chart is attached for the function.
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Triangle ABC is formed by connecting the points A (2,6), B (6,6) and C (6,1). What is the exact length of the hypotenuse of triangle ABC? Express your answer as an entire radical.
Step-by-step explanation:
ndnndndndjdjdjdfjfjfgnn
Can anyone please help me with the problem.
Answer:
The missing angle is 50
Step-by-step explanation:
That is a 180 degree in total... So
180-65-65=50
50
Two runners run in different directions, 60° apart. Alex runs at 5m/s, Barry runs at 4m/s. Barry passes through X 3 seconds after Alex passes through X. At what rate is the distance between them increasing at the instant when Alex is 20 metres past X?
Answer:
Draw a picture of Angkor Wat
Which of the following is used to represent complex numbers?
A.
x2 + y
B
C.
bi + 2
D.
a + bi
Answer: D) a+bi
Where both a and b are real numbers.
In your textbook, you might see \(a,b \in \mathbb{R}\) to indicate that they are real numbers.
An example would be 7+13i, where a = 7 and b = 13.
4. Martha loves hot dogs, she eats 120 a day. Her friend dared her to eat sixty more one
day, how many days will it take for her to gobble 600 hot dogs?
Answer:
120*3.5=420+180=600
Which means it took her about 4 and half days.
Step-by-step explanation:
Payton bought a couple new dog toys for her puppy. The bone she bought cost $5.25and the frisbee cost $6.75. About how much did the toys cost? ESTIMATE UR ANSWER AND SHOW UR WORK PLS!
6. Roger bought a hamburger and french fries for $4.84. He paid with a $10 bill. Abouthow much change should he have gotten back? ESTIMATE UR ANSWER AND SHOW UR WORK PLS!
Answer:
The toys cost about $12.
Roger should have gotten back about $5.15 in change.
Step-by-step explanation:
Dog Toys Question:
Bone cost $5.25, so you can estimate it to be about $5.
Frisbee cost $6.75, so you can estimate it to be about &7.
To get estimated total, add $5 + $7 = about $12 total.
Roger's Change Question:
The hamburger and fries cost $4.84, so you can round that out to $4.85.
$10 - estimated $4.85 = about $5.15 in change.
You could also round the $4.84 cost of the hamburger and fries to $5 even. In this case, $10 - estimated $5 = about $5 in change.
Plz I need help this is due at 7:10
Answer:
8units²
Step-by-step explanation:
Area of the trapezoid = 1/2(a+b)h
a and b are the opposite sides
h is the height
Take a square as 1 unit
a = 1 unit
b = 3 units
height h = 4 units
Substitute
A = 1/2(1+3)*4
A = 1/2 * 4 * 4
A = 16/2
A = 8units²
Hence the area of the trapezoid is 8units²
pls help this is not graded
f two fair dice are rolled, find the probability that the sum of the dice is 8, given that the sum is greater than 7.
P(sum of 8 | sum > 7) = 2/36 = 1/18
So the probability of rolling a sum of 8 given that the sum is greater than 7 is 1/18 or approximately 0.056.
How is probability determined?We must first ascertain the total number of outcomes where the sum is larger than 7 in order to calculate the likelihood that the sum of two fair dice will be 8.
A sum larger than 7 can only result in the following outcomes: (2,6), (3,5), (4,4), (5,3), and (6,2). As there are six alternative outcomes for each die roll, there are 36 permutations in which these five events can occur.
We must now count the number of these 36 outcomes that have a sum of 8. There are just two outcomes that could satisfy this requirement: (2,6) and (3,5). Hence, provided that the sum is more than 7, the following is the likelihood of rolling an 8:
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Solve the quadratic equation for x. What is one of the roots?
3x2 − 14x − 5 = 0
please any help would be nice!!!
The roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.
According to given information :Using the quadratic formula to solve the quadratic equation \(3x^2 - 14x - 5 = 0\),we have
\(x = (-(-14) ± sqrt((-14)^2 - 4(3)(-5))) / (2(3))\\x = (14 ± sqrt(14^2 + 4(3)(5))) / (2(3))\\x = (14 ± sqrt(196 + 60)) / 6\\x = (14 ± sqrt(256)) / 6\\x = (14 ± 16) / 6\\\)
Therefore, the two roots of the quadratic equation in exact square root form are:
\(x = (14 + 16) / 6 = 5\\x = (14 - 16) / 6 = -1/3\\\)
Thus, the roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.
What is quadratic equation ?A quadratic equation is a second-degree polynomial equation in one variable of the form:
\(ax^2 + bx + c = 0\)
where x is the variable, and a, b, and c are constants. In this equation, the highest power of x is 2, and it is called the coefficient of x^2. The coefficient of x is b, and the constant term is c.
The quadratic equation is called "quadratic" because the highest power of x is a square (i.e., x^2), and the graph of the equation is a parabola.
The quadratic equation can have zero, one, or two real solutions, depending on the values of a, b, and c. The solutions can be found by using the quadratic formula:
\(x = (-b ± √(b^2 - 4ac)) / 2a\)
where the symbol ± means "plus or minus" and the square root is of the discriminant (b^2 - 4ac).
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Camille made a quilt for her cousin's doll. The quilt had an 8 × 8 array of different color square patches. If each patch is 2 2/3 in long, what is the area of the whole quilt?
As a result, the total quilt's area is 512/9 square inches.
What is square used for?Square offers businesses a range of goods and services to help them complete sales deals, use marketing strategies, and control their finances, inventory, and workforce.
The quilt has an 8 x 8 array of square patches, which means it has a total of 8 x 8 = 64 square patches. Each square patch is 2 2/3 inches long.
To find the area of the whole quilt, we need to find the total area covered by all 64 square patches. We can do this by multiplying the length and width of one square patch by the total number of patches:
Area of one square patch = length x width = (2 2/3 in) x (2 2/3 in) = (8/3 in) x (8/3 in) = 64/9 sq in
Total area of all 64 square patches = (64 patches) x (64/9 sq in per patch) = 512/9 sq in
Therefore, the area of the whole quilt is 512/9 square inches.
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help me pls
Angle Relationships
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
Define angle.When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles. 360 degrees make up a circle. A 720° angle indicates that the object has completed two full rotations.
Here,
You can compare angles and take into account their relationships to other angles in addition to calculating degrees or radians.
Since we are comparing the position, measurement, and congruence of two or more angles, we refer to them as having "angle relationships."
For instance, two lines or line segments that cross each other create two pairs of vertical angles.
When a transversal intersects two parallel lines, complex angle relationships, such as alternating interior angles, matching angles, and so forth, result.
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
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Limits of the form lim _h right arrow 0 f(x + h) - f(x)/h occur frequently in calculus. Evaluate this limit for the given value of x and function f. f(x) =x^2, x=-5 The value of the limit is .
As a result, the limit value is 0. This indicates that the derivative of the function f(x) = x² when x = -5 equals zero.
What is function?A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.
Here,
The limit in question is a definition of the derivative of a function at a point. In this case, we want to evaluate the limit as h approaches 0 of the expression (f(x + h) - f(x)) / h, where f(x) = x² and x = -5.
Substituting the given values, we have:
lim _h right arrow 0 (x² + h²- x²) / h = lim _h right arrow 0 h² / h = lim _h right arrow 0 h = 0
So the value of the limit is 0. This means that the derivative of the function f(x) = x² at the point x = -5 is equal to 0.
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There are 40 tables set up at school for the annual pancake breakfast. Each table is 6 feet long an 2 feet wide. The students plan to cover each table with a paper tablecloth that extends an extra 3 inches over each edge.
What is the total AREA of the paper needed to cover all the tables? express the answer in square feet. (HINT: NOT A DECIMAL ANSWER) PLEASE HELP ME