Answer:
12, -6.4, 0.75
Step-by-step explanation:
I don't know if the question is to add them together or something but here's how I solved them.
Step 1: Use order of operations to solve 3 / 5 - 7
3 / 5 - 7
0.6 - 7
7 - 0.6 = 6.4
-6.4
Step 2: Divide 3/4
3 / 4 = 0.75 (A good way to think of it in fourths is to think of if I have three quarters, how much money do I have?)
A biomedical engineer poked some sensors into a single neuron (nerve cell) in a giant squid to
measure its electrical activity. The voltage signals coming out of the neuron are graphed below.
a) What is the approximate frequency of this signal in this time window? Show your
calculations.
b) How would the graph look different if the frequency was increased? Decreased?
There is one long cable that extends from the centre of each neuron in your brain.
Which part of the neuron is responsible for receiving signals from other neurons?The cell body's dendrites stretch outside to pick up signals from other nerve cells. A long, solitary fibre called an axon carries signals from the cell body to the dendrites of adjacent neurons or to other bodily structures like muscles.When a neuron encounters a chemical stimulus, a nerve impulse is triggered. As an electrical action potential, the nerve impulse moves along the axon membrane to the axon terminal. Neurotransmitters are released from the axon terminal and go to the subsequent cell with the nerve impulse.There is one long cable that extends from the centre of each neuron in your brain. An axon is a cable that is much thinner than a human hair and is where the neuron's electrical impulses travel.To learn more about neuron refer to:
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Solve one fifth times quantity x plus 21 end quantity equals negative 6
The answer choice which represents a solution to the given equation as required to be determined is; x = -51
What is the solution to the given equation?It follows from the task content that the solution to the given equation is to be determined.
Since the given equation is; 1/5 × ( x + 21 ) = -6
The equation above can be solved as follows;
Multiply both sides of the equation by 5 so that we have;
x + 21 = -6 × 5
x + 21 = -30
x = -30 - 21
x = -51.
On this note, the solution to the given equation is; x = -51.
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What is the factorization of the trinomial below?
12x2 - x-35
O A. (6x-7)(x+ 5)
O B. (4x + 7)(3x-5)
O C. (4x- 7)(3x+ 5)
O D. (6x + 7)(x- 5)
(4x + 7)(3x-5) are the factors of trinomial 12x²-x-35
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given trinomial is 12x²-x-35
Break the expression into groups
(12x²+20x)+(-21x-35)
12x²+20x-21x-35=0
Now take the gcf of first two terms
4x(3x+5)-7(3x+5)=0
(4x-7)(3x+5)=0
Hence, (4x + 7)(3x-5) are the factors of trinomial 12x²-x-35
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simplify 125 xy^3/5x^3y^3 simplify
Answer:
[tex]\frac{25}{3x^{2} }[/tex]
Step-by-step explanation:
[tex]\frac{125xy^{3} }{5x^{3}3y^{3} }[/tex] = [tex]\frac{25}{3x^{2} }[/tex]
125/5 = 15
[tex]\frac{xyyy}{xxxyyy}[/tex] We can cancel out one x in the numerator and the denominator. That leaves [tex]x^{2}[/tex] in the denominator.
We can cancel out the 3 y's in the numerator and the denominator and that leaves no y's
48.
1. (2 x+1)⁰+67
2x+68
The measure of the value of x in the expression for the angle (2·x + 1)°, obtained using vertical angles theorem is; x = 33°
What are vertical angles?Vertical angles are angles formed when two lines intersect. Vertical angles are the angles vertically opposite each other, formed by the intersection of the two lines.
Vertical angles theorem states that the vertical angles formed by the intersection of two straight lines are congruent.
The angles (2·x + 1)° and 67° are vertical angles. therefore;
(2·x + 1)° ≅ 67° (Vertical angles theorem)
(2·x + 1)° = 67°, by the definition of congruency
(2·x)° = 67° - 1° = 66°
x = 66° ÷ 2 = 33°
The measure of x is 33°Therefore, plugging in the value of x = 33°, in the expression; (2·x + 1)° + 67°, we get;
(2·x + 1)° + 67° = (2 ×33 + 1)° + 67°
(2 ×33 + 1)° + 67° = 67° + 67° = 134°
The measure of the sum of the angles, (2 ×33 + 1)° and 67° is 134°
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Given h(x)=-x+5 find h(-3)
The value of h(-3) given that h(x)=-x+5 is 8.
How to illustrate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign. It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
In this case, h(x) =-x+5
There h(-3) will be gotten by substituting -3 into x. This will be:
h(x)=-x+5
h(-3) = -(-3) + 5
h(-3) = 3 + 5
h(-3) = 8
Therefore, the value is 8.
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Approximately percent of senate incumbents win reelection. select one: a. 57 b. 65 c. 74 d. 84 e. 98
84percent of Senate incumbents win reelection in the United States.
In the United States, Senate incumbents have a high rate of re-election. This is due to a number of factors, such as name recognition, access to resources, and the advantages of incumbency. According to the Center for Responsive Politics, 84% of Senate incumbents have won re-election since 1982, with an average of 84.5% over that period. This figure is higher than the rate of re-election for House incumbents, which stands at around 90%. This indicates that while incumbency is an advantage in Senate races, it is not as strong as it is in House races.84% of Senate incumbents win reelection in the United States.
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The Approximate percent of senate incumbents that have win the reelection is (d) 84% .
In the united States Of America , The Incumbents have a very high rate of Re-election because of various factors which are access to resources , the name recognition and advantage of incumbency .
So , by the Center of Responsive Politics , the 84% of senate incumbents have won the reelection since the year 1982 where the average percent of win is 84.5% .
Whereas , the rate of reelection in the house of incumbents is 90% which is higher that the Senate Incumbents .
Therefore , approximately 84% of the senate incumbents win the re-election .
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At another theater, the ratio of floor seats to balcony seats is 20:19. How do the number of floor seats and the number of balcony seats compare at this theater
The ratio of 20:19 for the number of floor seats and the number of balcony seats means that for each 20 floor seats in the theater, there are 19 balcony seats. Hence, the theater has more floor seats.
How to calculate the ratio?The ratio between two amounts a and b is calculated applying the proportion of these two amounts, that is, the division of a by b, as follows:
r = a : b.
The ratio is not commutative, meaning that the ratio between b and a is given as follows:
r = b : a.
(which is different of r = a : b).
The ratio for the number of floor seats to balcony seats in this problem is given as follows:
20:19.
(20 floor seats for each 19 balcony seats).
Hence there are more floor seats in the theater.
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Henry ran 1 5_8 miles in the morning and 9_10 miles in the afternoon. About how many miles did he run in all?
When Henry ran 1 5/8 miles in the morning and 9/10 miles in the afternoon, In all he a total of 2 21/40 miles
How to find the number of miles that Henry ranThe number of miles Henry ran is calculated by addition operation
The sum of the miles Henry ran in the morning plus the number of miles he ran in the afternoon gives the what Henry ran in all
The procedure involves addition of tractions and done as follows
= 1 5/8 + 9/10
= 13/8 + 9/10
adding both fractions will result to
= 101/40 miles
= 2 21/40 miles (as a mixed number)
Henry ran a sum of 2 21/40 miles
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How can you prove this to triangles are similar
There are several ways to prove that two triangles are similar, but the most common method is using the concept of corresponding angles and corresponding sides.
What is an example of congruence?
Congruent refers to something that is "absolutely equal" in terms of size and shape. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, and stack them on top of one another.
If two triangles have corresponding angles congruent (equal in measure), and the ratios of their corresponding sides are equal, then the triangles are similar. This is known as the Angle-Angle (AA) Similarity criterion.
Another way is when two triangles have corresponding sides in proportion and no angles are congruent, then the triangles are similar, it is known as the Side-Side-Side (SSS) Similarity criterion.
Another way is when two triangles have a pair of corresponding angles congruent and their corresponding sides are in proportion, the triangles are similar. This is known as the Side-Angle-Side (SAS) Similarity criterion.
So, In order to prove that two triangles are similar, you have to show that either the angles are congruent and the sides are proportional using (AA), (SSS), (SAS) or (ASA) Similarity criteria.
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Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to
the nearest hundredth.
16x²-400-0
The value of x = ±5.
What is Quadratic Equation?
Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where ‘a’ is called the leading coefficient and ‘c’ is called the absolute term of f (x).
Method 1 :
⇒ 16x² - 400 = 0
⇒ 16x² = 400
⇒ x² = 400/16
⇒ x² = 25
⇒ x = ±5
Method 2 :
⇒ 16x² - 400 = 0
⇒ 16(x² - 25) = 0
⇒ x² - 25 = 0
⇒ x² = 25
⇒ x = ±5
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need the answer asap!!!
The length in centimeters of AB is 125/360 x 42cm.
What is the circumference of the circle?
The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter.
Here, we have
Given: The circumference of the circle is 42 centimeters
AB is an arc, the formula for calculating the length of an arc is given as
L = Ф/360 X 2πr
where Ф is the angle subtended by the arc, and 2πr is the circumference of the circle.
Substituting the given values into the formula, we have
L = 125/360 x 42
L = 14.5
Hence, the length in centimeters of AB is 125/360 x 42cm.
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Color to show how to make ten.
Complete the addition sentence.
Answer:
Draw 6 black and leave 4 blank
Step-by-step explanation:
6+4=10
Answer: I feel like your too young to not to know this. Besides you say you are in college?
Step-by-step explanation:
Just put anything that sums up to 10. There are many I'll give you 2 examples: 7+3 or 5+5. You can use either one of those.
Which exponential function models the situation?
A function has an initial amount of 22 and a rate of increase of 9%.
g(t) = 22(1.09)t
g(t) = 0.09(22)t
g(t) = 1.09(22)t
g(t) = 22(0.09)t
Answer:
g(t) = 22(1.09)t
Step-by-step explanation:
formula is y = a(1 + r)t
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Find the surface area of the cylinder. Use 3.14 for Pie (n) PLS helpp! Will give brainlest and 30 points as well!! pls show step by step bc I have to show my work :((
Given ,
Diameter of the base is 6cmheight of the cylinder is given as 12cmTo Find : The Surface Area of a Cylinder
First we need to find the radius
[tex]r = \frac{6}{2}\\r = 3[/tex]
Formula to find the SA of a cylinder
[tex]SA = 2\pi r(r+h)[/tex]
[tex]SA = 2X3.14X3(3+12)[/tex]
[tex]SA = 18.24(16)\\SA = 291.84cm^{2}[/tex]
Explain why 81 3/4 equals 27
The reason and calculation on why why 81 ^ 3/4 equals 27 is given below.
How to illustrate the exponentThe exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
The reason and calculation on why why 81 ^ 3/4 equals 27 is;
= (4✓81)³
= 3³
= 3 × 3 × 3
= 27
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13 quarts of soil are used to completely fill 4 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold? Solve on paper and check your w
The number of quarts of soil in each pot will be 3.25 quarts.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
13 quarts of soil are used to completely fill 4 flower pots. If each pot holds the same amount of soil.
Then the number of quarts of soil in each pot will be given as,
⇒ 13 ÷ 4
⇒ 13 / 4
⇒ 3.25
The number of quarts of soil in each pot will be 3.25 quarts.
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If the simple interest on $250 for 5 years in $43.75, find the rate in per annum.
The interest rate on the principal that yield an interest of $43.75, in 5 years is 3.5% per annum.
What is the interest rate per annum?Simple interest is expressed as;
I = P × r × t
Where I is interest, P is principal, r is interest rate and t is time.
Given the data;
Principal P = $250Interest I = $43.75Elapsed time t = 5 yearsInterest rate r = ?Plug the given values into the above formula and solve for interest rate r.
I = P × r × t
r = I / Pt
r = 43.75 / ( 250 × 5 )
r = 43.75 / 1250
r = 0.035
Rate = r × 100%
Rate = 0.035 × 100%
Rate = 3.5%
Therefore, the interest rate per annum is 3.5%.
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On Monday Paolo so 21 tickets to the dance on Tuesday he sold three times as many tickets as he sold on Monday on Wednesday he's so twice as many tickets as he sold on Tuesday how many total tickets did Paulo sell in the three days
Using the given conditions and the value provided to us, The answer is Paolo sold 210 tickets in 3 days.
What is a mathematical expression?A mathematical expression is a combination of numbers, variables, and mathematical operations that defines a specific value or a set of values. Examples of mathematical expressions include 2+3, x^2+y^2, and sin(x) + cos(y). These expressions can be evaluated to find a specific numerical value or they can be simplified, rearranged or manipulated using algebraic rules.
What are word problems in mathematics?Word problems in mathematics are problems that are presented in a narrative format, rather than as a mathematical equation. They often describe a real-world situation, such as a person buying items at a store, and ask the student to use mathematical concepts to solve the problem. This can include concepts such as addition, subtraction, multiplication, division, fractions, and percentages. Word problems can be challenging for students because they require not only mathematical knowledge, but also the ability to understand and interpret the problem, and to translate the information given into mathematical equations.
On Tuesday, Paolo sold 3 * 21 = 63 tickets.
On Wednesday, he sold 2 * 63 = 126 tickets.
So in total, Paolo sold 21 + 63 + 126 = 210 tickets.
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Answer: Using the given conditions and the value provided to us, The answer is Paolo sold 210 tickets in 3 days.What is a mathematical expression?A mathematical expression is a combination of numbers, variables, and mathematical operations that defines a specific value or a set of values. Examples of mathematical expressions include 2+3, x^2+y^2, and sin(x) + cos(y). These expressions can be evaluated to find a specific numerical value or they can be simplified, rearranged or manipulated using algebraic rules.What are word problems in mathematics?Word problems in mathematics are problems that are presented in a narrative format, rather than as a mathematical equation. They often describe a real-world situation, such as a person buying items at a store, and ask the student to use mathematical concepts to solve the problem. This can include concepts such as addition, subtraction, multiplication, division, fractions, and percentages. Word problems can be challenging for students because they require not only mathematical knowledge, but also the ability to understand and interpret the problem, and to translate the information given into mathematical equations.On Tuesday, Paolo sold 3 * 21 = 63 tickets.On Wednesday, he sold 2 * 63 = 126 tickets.So in total, Paolo sold 21 + 63 + 126 = 210 tickets.
Step-by-step explanation:
HELP ASAP!!! This is a geometry problem I need help with!!
Answer:
8
Step-by-step explanation:
Since the smaller shape's side is 5, and on the bigger side its 10, that means you multiply 4 time 2.
name 4 decimals whose sum is 2.35.
Convert to the given unit. 5 yd = in.
Answer:
180 inch.
Step-by-step explanation:
Multiply the length value by 36
5 yd = 180 in.
We know the relation between yards and inches:
1 yard = 36 inches
So, 5 yds = 5×36 inches
5 yds = 180 inches
Therefore, the answer is 5 yd = 180 in.
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triangle ABC: A(2,-3), B(-4,5), C(-5,0).
dilate triangle ABC by a scale factor of 4.
PLEADR HELP
The coordinates of the vertices of the new triangle are A'(8,-12), B'(-16,20), C'(-20,0). The area of the new triangle will be 4 times the original triangle.
What is the scale factor?The scale factor is defined as the ratio of the new image's size to the old image's size. The dilation center is a fixed point in the plane. The dilation transformation is defined based on the scale factor and the center of dilation. If the scale factor is greater than one, the image will stretch.
Given that ABC is a triangle. The vertices of the triangle are A(2,-3), B(-4,5), C(-5,0).
The triangle is dilated by a scale factor of 4.
To find the coordinate of the new triangle multiply 4 with x-coordiante and y-coordiante of the vertices of the triangle ABC.
The new coordinate of A is (2×4,-3×4) → A'(8,-12).
The new coordinate of B is (-4×4,5×4) → B'(-16,20).
The new coordinate of C is (-5×4,0×4) → B'(-20,0).
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when solving a system of equations, which of the following is a possible outcome? select all that apply. please help i will mark you brainliest.
When solving a system of two equations there are three possible outcomes for the solution of a system of three variables and two solutions for two variables.we can say that system of equation have infinite solutions.
What are the ways to solve system of equations?There are three methods used to solve systems of equations graphing, substitution, and elimination. To solve a system by graphing you simply graph the given equations and find the point(s) where they all intersect.Solve the linear equation for the remaining variable.
How do you find the solution to a system of equations?To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. The two lines intersect in (-3, -4) which is the solution to this system of equations.
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5 times the sum of x and 3
long division
8876÷14
4732÷13
9647÷15
9647/15 is the long division on
Step-by-step explanation:
9647/15 = 643.1333333333
What is 37 and 1/4 multiplied by 24
Answer:
1) 894
or
2) 43
Step-by-step explanation:
The way this question is worded is unclear.
1) If you mean 37.25x24, it's simple multiplication and the answer is 894.
2) If you mean 37 and 1/4 x 24, then the question becomes a multiplication problem in which you add 37 to the product.
.25 x 24 = 66 + 37 = 4343
Step-by-step explanation:
first we have to add 37 with 1/4×24 and the product of 1/4×24 is 6.then we have to add 6 with 37 and the final answer is 43.and sorry if it's wrong
What would the surface area of this shape be?
If a fair die is rolled 7 times, what is the probability, to the nearest thousandth, of
getting exactly 5 fours?
Answer:
if u free can u come please...
on the number line, which point is closes to pie
On the number line the point that is closest to pie is 3, between 3.1 and 3.2.
What is a number line?You should be aware that a number line is the representation of numbers on a straight line.
The number line compares numbers that are placed on equal intervals on an infinite line that extends to both sides vertically and horrizontally.
On the number line, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers.
In conclusion from the attached graph, the number that is closest to pie is 3
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