Answer:
I believe it is 38
Step-by-step explanation:
When an integer is subtracted from 3 times the next consecutive integer, the difference is 23. Find the value of the lesser integer.
Answer:
10
Step-by-step explanation:
To find the value of the smaller integer, start by letting a variable be that integer. This helps us to refer to the integer with greater ease in our working.
Let the smaller integer be x.
Consecutive numbers refers to numbers coming after one another, such as 1, 2 and 3.
The next integer coming after the integer x would thus be (x +1). Three times the next consecutive integer would then be 3(x +1).
Subtract refers to a minus sign, thus the equation would be:
3(x +1) -x= 23
Expand:
3x +3 -x= 23
Simplify:
2x= 23 -3
2x= 20
Divide both sides by 2:
x= 20 ÷2
x= 10
Thus, the smaller integer is 10.
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*Note that when b is subtracted from a, the expression would be a -b.
An African elephant weighed 209 lbs when it was born. Baby elephants gain an average of 38 lbs per week.
How many weeks will it take for the baby elephant to weigh 1197lbs?
Find the derivative:
f(x)=tan(x^2+5)
Answer:
\(f'(x)=2x \sec^2(x^2+5)\)
Step-by-step explanation:
To differentiate this we will need to use the chain rule:
\([h(g(x))]'=g'(x) \cdot h'(g(x))\).
We will also have to keep in mind how to differentiate the following:
\(\tan(\theta)\) with repect to \(\theta\)
\(x^2+5\) with respect to \(x\).
\(f(x)=\tan(x^2+5)\)
Derivative of both sides:
\(f'(x)=(x^2+5)'\cdot (\tan)'(x^2+5)\)
\(f'(x)=(2x+0) \cdot \sec^2(x^2+5)\)
\(f'(x)=2x \sec^2(x^2+5)\)
What is the volume of the figure?
A. 188.5 units cubed
B. 196.9 units cubed
C. 205.3 units cubed
D. 213.6 units cubed
rewrite the function in an equivalent form the would reveal the vertex of the function f(x)=x^2+8x+6
Answer:
f(x)=(x+4)-10
Step-by-step explanation:
Since the function f(x)=x^2+8x+6 is in standard form, you need to find the axis of symmetry using the formula -b/2a, and then plug the value back into the original equation to find the vertex.
The vertex is (-4, -10)
Using this information, we can rewrite the equation in vertex form (f(x=a(x-h)+k), where (h, k) is the vertex.
The equation we rewrite is f(x)=(x+4)-10
A woman standing on a large rock at the edge of a lake is getting ready to swing from a rope that is tied to a branch that hangs over the water. The length of the rope the woman is holding is 7.3 m long. The woman hopes to land in the water at a point that is 13.7 m away from where she stands on the large rock. The angle between the point where the rope is tied and her landing spot in the water is 89°. What is the distance between the the point where the rope is tied and the point where she wants to land to the nearest tenth of a metre.
Answer:
6.4 m
Step-by-step explanation:
The image attached is a representation of the question. to the river hence the distance between the place where she landed and the rock where she was standing must be horizontal. We are now required to find the shortest vertical distance between the point where the rope was tied and the place where she wants to land.
Note that the woman used the rope to move down in
Applying the cosine rule;
\(c^{2} = a^{2} + b^{2} -2ab Cos C\)
\(c^{2} = 13.7^{2} + 7.3^{2} - 2(13.7 *7.3) Cos 89o\)
\(c^{2} = 6.4 m\)
I'm suck on this question can anyone help me
with it Jina has ridden 18 miles of a bike course. The course is 60 miles long. What percentage of the course has Jina ridden so far?
Answer:
30%
Step-by-step explanation:
percentage of the course she has ridden = 18/60 ×100
=0.3×100=30 %
MAKE T THE SUBJECT OF FORMULA G=T+3/7
WHO EVER ANSWERS WITH THE SOLUTION I WILL MARK AS BRAINLIEST.
Step-by-step explanation:
G= T+3/7
G-3/7=T
T= G-3/7
I need this asap please help
Answer:
Step-by-step explanation:
the answer would be 5/4 i belive
PLS HELP URGENT!!!
.
.
.
.
.
.
.
Answer:
D.
Step-by-step explanation:
Answer: D is the correct answer
Step-by-step explanation:
I learned this last year and got a 100 on the subject
Try to use separation of variables to solve dt
dy
= t
y−1
;y(0)=2. Can you find a solution? If not, why not? 3. Discuss the nature of the critical points of dt
dy
=y n
, where n is a nonnegative integer.
For dt/dy = \(y^n\), where n is a nonnegative integer:
When n = 0, there are no critical points.
When n > 0, there are no critical points due to the restriction that y cannot be zero.
We have,
To solve the differential equation \(dt/dy = t(y^{-1}),\) we can use the separation of variables:
dy/y = t dt
Integrating both sides:
ln|y| = (t²)/2 + C
Exponentiating both sides:
\(|y| = e^{(t^2/2 + C)} = Ce^{t^2/2}\)
Since the initial condition is y(0) = 2, we can substitute this value to find C:
|2| = Ce^(0/2) = C
Therefore, the solution to the differential equation is given by:
y = ± \(2e^{(t^2/2)}\)
For the second part of your question, we need to analyze the critical points of the differential equation dt/dy = y^n, where n is a nonnegative integer.
When n = 0, the differential equation becomes dt/dy = 1, which has a constant slope and no critical points.
For n > 0, the critical points occur when y^n = 0.
However, since y is the dependent variable, it cannot be zero in this context.
Hence, there are no critical points for n > 0.
Thus,
For dt/dy = \(y^n\), where n is a nonnegative integer:
When n = 0, there are no critical points.
When n > 0, there are no critical points due to the restriction that y cannot be zero.
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how to find the distance between 1.5 and any point,n,on a numberline
The distance between 1.5 and any point,n,on a number line is |1.5 - n|
How to determine the distanceFrom the question, we have the following parameters that can be used in our computation:
Points = n and 1.5
The distance between these points is the absolute difference between them
This is represented with the following equation
Distance = |1.5 - n|
Hence, the distance is |1.5 - n|
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Select all that apply.
Which of the following name a line segment in the drawing?
I think it would be ef because they are across from each other.
Answer:
lineAF, CE, EF
Step-by-step explanation:
Every line except AB, because a line don't curve.
Hope u understood.
Please mark as brainliest
Thank You
A total of 559 tickets were sold for the school play. They were either adult tickets or student tickets. There were 59 more student tickets than adult tickets. How many adult tickets were sold?
Answer: The answer is 500 hope this helps!
Step-by-step explanation:
How can undefinable terms be used to create precise mathematical definitions?
Answer:
This is done by stating descriptions of these terms.
Step-by-step explanation:
Undefinable terms are terms with no formal definitions. Formal definitions are obtained when specific words are used to define a term. In mathematics, specifically, Geometry words like line, point, and plane have no definite definition, So descriptions are used to identify them.
For example, in describing a point, we note that a point has no dimensions, it is usually denoted with a capital letter, and it indicates a position. Also in a coordinate plane, it is denoted with descriptions such as (u,v). Corresponding descriptions are given of other undefinable terms.
HELP ME PLS
1. Gio mows lawns for $25 each. He already has $250 in his bank account, but is trying to save $900. How many lawns will he need to mow to reach his goal?
2. Lani buys groceries at the store for $30.25. He spent $5.25 on apples, $3.25 on a box of crackers, and the rest on 3 pounds of lunch meat. How much did the lunch meat cost, in dollars per pound?
3. Sari is creating a dog run space in her backyard. She has 40 feet of fencing to go around the outside, and she wants to make it rectangular with a width of 8 feet. What will the length be, in feet?
4. Siara is baking biscuits for a bake sale. Each batch makes 75 biscuits, and her friend gives her another 60 biscuits. She ends up with 360 biscuits total for the bake sale. Use algebra to solve for how many batches she made.
5. Jose has a comic book collection that he keeps among 5 shelves with an equal number on each shelf. His father adds 20 comic books to the bottom shelf, so the shelf now has 125 books. How many total books are in his collection? Use algebra to solve the equation.
Answer:
Step-by-step explanation:
1. To reach his goal of $900, Gio will need to mow 900 - 250 = 650 dollars worth of lawns. Since each lawn mowing costs 25 dollars, he will need to mow 650 / 25 = 26 lawns.
2. The cost of the lunch meat was 30.25 - 5.25 - 3.25 = 22 dollars. Since there were 3 pounds of lunch meat, the cost per pound was 22 / 3 = 7.33 dollars.
3. Sari wants to create a rectangular dog run space with a width of 8 feet. Since the perimeter of the rectangle is 40 feet, the length of the rectangle must be 40 - 8 - 8 = 24 feet.
4. Let's call the number of batches Siara baked b. Siara's friend gave her 60 biscuits, so the total number of biscuits Siara baked is 360 - 60 = 300 biscuits. Since each batch makes 75 biscuits, Siara baked 300 / 75 = 4 batches.
5. Let's call the number of comic books on each shelf s. The total number of comic books in Jose's collection is 5 * s = 125 + 20 = 145 comic books. Therefore, s = 145 / 5 = 29 comic books. This means there are 29 comic books on each shelf, and Jose has a total of 29 * 5 = <<29*5=145>>145 comic books in his collection.
Ayúdenme porfavor espara mañana
The value of the given expression is -1.
Given is an expression 1/4 (-4/1) (3/5) (-5/6) (-2) we need to simplify it,
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
so,
1/4 (-4/1) (3/5) (-5/6) (-2)
= 1/4 × -4 × 3/5 × -5/6 × -2
= -1 × -1/2 × -2
= -1
Hence the value of the given expression is -1.
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Solve |x|>-9
Answer choice:
1.) no solution
2.)all reals
3.) {x/x<-9 or x>9}
Answer:
All Real Numbers
Step-by-step explanation:
........
In AABC, mLA = 58° and mzB = 45°.
Select the triangle that is similar to AABC.
OA. AMNP, in which m/M = 58° and
m²N = 103°
B. AXYZ, in which mLX = 45° and
m²Y = 103°
C. AHIJ, in which mzH= 58° and
m2J = 77°
D. APQR, in which m4P = 58° and
m/R = 70°
The triangle that is similar to triangle ABC is triangle HIJ , in which <H is 58° , < J = 77°
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent or equal.
Also the ratio of corresponding sides of similar triangles are equal.
Since in triangle ABC,
A = 58°, B = 45°
C = 180-( 58+45)
= 180- 103 = 77°
In triangle HIJ
the corresponding angles of H is A = 58°
the corresponding angles of J is C = 77°
Therefore the similar triangle to triangle ABC is triangle HIJ.
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Is tratation of the pyramid around a
center of rotation forming a spherical
figure?
The answer of the given question based on the pyramid is , option (b) No, the rotation of the pyramid is forming circular bases in parallel planes.
What is Frustum?A frustum is a three-dimensional geometric shape that is formed by slicing a cone (or pyramid) with a plane parallel to its base and removing the smaller, similar shape from the top. In other words, a frustum is the portion of a cone (or pyramid) that remains after its top part has been cut off by a plane parallel to its base.
The correct answer is (b) No, the rotation of the pyramid is forming circular bases in parallel planes.
When a pyramid is rotated around its center of rotation, it forms a three-dimensional solid with circular bases in parallel planes. This solid is known as a frustum or truncated pyramid. However, the frustum is not a spherical figure, as it does not have a round or curved surface like a sphere. Instead, it has flat, congruent faces in the shape of rectangles and trapezoids.
Option (c) is also incorrect as it describes a regular pyramid, which has congruent rectangular faces but does not involve rotation. Option (d) describes a sphere, which is not related to the rotation of a pyramid.
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Answer: Option (b) No, the rotation of the pyramid is producing circular bases on parallel planes. The offered question is based on a pyramid.
What is pyramid?A pyramid is a 3D polyhedron having at least three triangle-shaped sides connecting above it and a foundation formed of polygons. Each of the three sides are often referred to as faces, and the point above the base has been referred to as the apex. A pyramid is created by connecting the base and apex. The triangular sides are often known as lateral faces to separate them from the base. The triangular face of a pyramid is formed by the connection of each base edge to the the top.
The correct response is (b) No, the pyramid's rotation is creating parallel circular bases.
A pyramid produces a three-dimensional solid with circular bases on parallel planes when it is rotated about its centre of rotation. The term "frustum" or "truncated pyramid" refers to this solid. The frustum does not, however, have a round or curved surface like a sphere, hence it is not a spherical figure. It has flat, symmetrical faces in the form of rectangles and trapezoids instead.
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what is true about relations? A. The relation is a linear function. B. The y value increases as x decreased. C. The x increases as y decreases. D.The relation is not a function
Answer:
The answer is A
Step-by-step explanation:
Circle A has a radius of 50 cm. Circle B is three times larger than circle A.
What is the diameter of circle B?
75 cm
150 cm
300 cm
I don't know.
The diameter of Circle B is 300 cm.
what is Circumference of circle?Circle perimeter or circumference is equal to 2R.
where R is the circle's radius. is a mathematical constant having a roughly 3.14 (to the nearest two decimal places) value. Once more, Pi () is a unique mathematical constant that represents the relationship between a circle's circumference and diameter.
Given:
Circle A has a radius of 50 cm.
Now, Circle B is three times larger than circle A
So, Circumference of circle B= 3 x Circumference of circle A
2 x 3.14 x R= 3 x 2 x 3.14 x 50
R = 3 x 50
R= 150cm
Hence, the diameter of Circle B is 300 cm.
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What is the size of x when the opposite is 4.9 the hypotenuse is 7.2 i need to work out x which is where it meets with the hypotenuse and adjacent?
Answer:
Step-by-step explanation:
10
Help me with this please!!!!!
Answer:
69
Step-by-step explanation:
you take the sum of the square root and divide by the denominator
Answer:
16.03
Step-by-step explanation:
Independent Assessment 2
Directions: Use the data in the line graph below to answer the following questions.
Pieces of Bibingka Sold Per Day
60
50
40
30
20
10
0
Monday
Tuesday Wednesday Thursday
1. How many bibingka were sold on
Tuesday and Wednesday?
2. What days have the same number of
bibingka sold?
3 How many more bibingka were sold
on Monday than on Wednesday?
4. What is the average pieces of
bibingka sold for the first three days?
5. In your opinion, what other kind of rice
cake do you prefer to sell? Give your
reason
Pieces of Bibingka Sold
Friday
0000
Answer
Answer
Answer
Answer
Answer
Answer:
are you from Philippines?
Step-by-step explanation:
because I want to know gehe
Please help thank you
Answer:y=-9x+3
Step-by-step explanation:
In a y=mx+b equation (slope intercept form) like this one m is the slope and b is the y intercept.
help ????!!!! pls!!!
Answer:
You can use y − y1 = m(x − x1) and get 2-y= 1/6(9-3) so y = 1
Step-by-step explanation:
The perimeter of a rectangular park must be no greater than 140 meters, because that is the total length of the materials available for the border. The width of the park cannot exceed 24 meters. What are the possible lengths of the park?
Step-by-step explanation:
the perimeter of a rectangle is
2×length + 2×width
so our inequalities are
2×length + 2×width <= 140 m
length + width <= 70 m
width <= 24 m
let's assume for a moment that width = 24.
and we get
length + 24 <= 70
length <= 46 m
or general
length <= 70 - width
with maximum width (24 m), length <= 46m
with a minimum width (e.g. 1 m), length <= 69
so, overall, 0 m < length < 70 m (I assume width = 0 or length = 0 are not valid).
what is the equation of a line that is parallel to y=35x−7 and passes through (15, 8)? enter your answer in the box.
Answer:
y = 35x - 517.
Step-by-step explanation:
y=35x−7
This line has a slope of 35so we can write a line parallel to it as
y - y1 = 35(x - x1) where (x1, y1) is a point on the line.
We are given this point (15, 8), so:
y - 8 = 35(x - 15)
y = 35x - 525 + 8
y = 35x - 517 is the required equation.
Solve
493 km 43 m + 17 km 57 m
What is this answer
Answer:
510.1
Step-by-step explanation:
convert m to km by dividing by 1000 and add all of the numbers together