answer is 14.
4-(2*-5)
4-(-10)
=4+10
=14.
Answer:
[tex]\bf 14[/tex]Step-by-step explanation:
[tex]\tt 4-2(-5)[/tex]
Follow the PEMDAS order of operations:-
P: Parentheses
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
1) Multiply and/ or divide:-
[tex]\tt 2\left(-5\right)[/tex][tex]\tt -10[/tex][tex]\tt 4 -\left(-10\right)[/tex]
2) Addition/Subtraction:-
[tex]\tt 4-\left(-10\right)[/tex][tex]\tt 4+10[/tex][tex]\tt 14[/tex]_____________________
Hope this helps! :)
Explain why 200,000 square kilometers is a good estimate forthe area of South Dakota.
Answer:
Step-by-step explanation:
200,000 square kilometers is a good estimate for the area of South Dakota because the actual area of South Dakota is approximately 199,729 square kilometers according to the United States Geological Survey (USGS).
This means that the estimate is only off by about 0.1% of the actual area. This level of accuracy is generally considered to be very good for an estimate, especially when dealing with large areas like states or countries.
Additionally, 200,000 square kilometers is a round number and easy to remember, making it a useful estimate in contexts where a precise value is not necessary. It also allows for quick comparisons with other areas or states that may be roughly similar in size.
Overall, 200,000 square kilometers is a good estimate for the area of South Dakota because it is reasonably close to the actual value, easy to remember, and useful for rough comparisons with other areas.
ALSO:
South Dakota is approximately 383 miles long (east to west) and 237 miles wide (north to south).
It has the approximate shape of a rectangle, its Area = (Base x Height)= (383 x 237)= 90,771.00 miles ^2 which are 235,095.81 Km^2. So by this geometric reasoning we can have a correct approximation of the area of South Dakota.
What is 90.0 - 0.026
Answer:
89.974
Step-by-step explanation:
Identify the equation for the graph shown.
A. y = 5x - 2
B. y = 2x - 5
C. y = 2x + 5
D. y = x - 4
E. y = 2x - 6
1. Luisa has 35 building blocks. Jack gives
her 18 more blocks, Luisa uses 26 blocks
to build a castle. How many blocks are
not used in the castle?
Answer:
27 blocks not used in the castle
Step-by-step explanation:
35+18= 53
53-26=27
Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0
and σ=15.0
. A random sample of 41
people is taken.
Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 98
? Round your answer to 4
decimal places, if necessary.
Answer:
Step-by-step explanation:
To solve this problem, we need to standardize the IQ score using the formula:
z = (x - μ) / σ
where x is the IQ score, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
So, for x = 98, we have:
z = (98 - 100) / 15 = -0.1333
Using a standard normal distribution table or calculator, we can find that the probability of a standard normal variable being less than -0.1333 is approximately 0.4483.
Therefore, the probability of a random person on the street having an IQ score of less than 98 is 0.4483 (or 44.83% rounded to four decimal places).
Helppp! The tree diagram below shows all of the outcomes for flipping 3 coins. Which outcome is represented x? Picture below.
Answer:
Option 1 is the correct choice
Step-by-step explanation:
All possible outcomes are represented with the exception of {HHT}
This would correspond to x
Option 1 is the correct choice
Use the percent formula, A=PB, where A is P percent of B, to answer the following question. What is 29% of 10?
The value of 29% of the number 10 will be 2.9.
What is the percentage?The part of any product is given as though it was a ratio of a hundred. The ratio can be represented as a quarter of 100. The phrase % decrypts to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The value of 29% of 10 is calculated as,
⇒ 29% of 10
⇒ 0.29 x 10
⇒ 2.9
The value of 29% of the number 10 will be 2.9.
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somebody Please help me please
What statement is missing in step 4
The correct option c ) m∠5 + m∠2 = m∠3 + m∠2, is the missing statement in step 4.
Explain about the traversal of parallel line?When a transversal divides two parallel lines, the resulting alternate interior angles are congruent.
The pairs of angles from outside two lines and on either side of a transversal that cuts two lines are referred to as the alternate external angles.Lines that never intersect and always remain the exact same distance apart are said to be parallel. A line that crosses 2 or more additional lines is referred to as a transversal.Alternative External Angles are congruent if a transversal cuts two parallel lines. When a transversal cuts two parallel lines, the resulting angles are congruent.Thus, m∠5 + m∠2 = m∠3 + m∠2, is the missing statement in step 4.
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Consider the given system of equations. How many (x,y) solutions does this system have ? 2x+4y=15
2x+4y=13
Answer:It has no solution
Step-by-step explanation:
Translation: 3 left and 3 up
Answer: (3,-1) = (0,2) (5,-2) = (2,1) (3,-5) = (0,-2) (-5,-5) = (-2,-2)
Step-by-step explanation:
70 points! Complete each proof using the most appropriate method.
All statements and reasons are shown below.
What is triangle?A triangle is a closed two-dimensional geometric shape that has three sides, three angles, and three vertices. Triangles are one of the basic shapes in geometry and can be classified according to the length of their sides (scalene, isosceles, or equilateral) or the size of their angles (acute, right, or obtuse). The sum of the angles of a triangle is always 180 degrees, and the Pythagorean theorem can be used to find the length of one side if the other two sides are known in a right triangle.
According to the given figure:
4. In ΔFGH and ΔFJH,
Statement Reason
GH = JH (Given)∠FGH = ∠FJH (each 90°)FH = FH (Common)ΔFGH ≅ ΔFJH (by R.H.S rule)5. In ΔTVY and ΔXWY,
Statement Reason
TY = XY (Given)∠TVY = ∠XWY (Given)∠VYT = ∠WYX (Vertically opposite angle)ΔTVY ≅ ΔXWY (by A.A.A rule) angle-angle-angle ruleTV = XW (by C.P.C.T)6. In ΔKML and ΔPMN,
Statement Reason
KL = PN (Given)∠KLM = ∠PNM (KL║NP and LN is transversal line, so this is alternate interior angle)∠LKM = ∠NPM (Alternate interior angle)ΔKML ≅ ΔPMN (by A.S.A rule) angle-side-angle ruleLM = NM (by C.P.C.T)To know more about types of triangle, visit:
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270 calories in 3 servings : 450 calories 5 servings
There are 90 calories to 1 serving.
What is rate of quantities?Rate is a term which compares two things. It simply relates the amount of one variable to the amount of the other variable. An example is the rate of the distance covered by an object with time taken.
In the given question, we can deduce that;
270 calories in 3 servings would give;
amount of calories in 1 serving = 270/ 3
= 90
Also,
450 calories in 5 servings would give;
amount of calories in 1 serving = 450/ 5
= 90
Therefore, there are 90 calories to 1 serving.
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The record for the most amount of rain in the shortest period of time in the united states was 12 inches in 42 minutes. How much rain fell in 15 minutes?
SHOW YOUR WORK AND HOW YOU GOT THE ANSWER!!!!
We can say that approximately 4.29 inches of rain fell in 15 minutes.
We can apply a proportion to determine the amount of rain that fell in 15 minutes.
We can calculate the proportion because we know that 12 inches of rain fell in 42 minutes:
x inches in 15 minutes equals 12 inches in 42 minutes.
where x is how much rain fell in 15 minutes.
We can cross-multiply and simplify to find x's value:
42 minutes equals 12 inches times 15 minutes (x inches)
180 = 42x
x = 180 / 42
x = 4.2857...
We may estimate that 4.29 inches of rain, rounded to the nearest hundredth, fell in 15 minutes.
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yvette is making a blanket. she is going to the craft store for supplies. she wrote her measurements as decimals.
For the 4.6 yards of fabric, she should use 9/2, and for the 1.83 feet of cording, she should use 9/5.
What are fractions?A fractional number is any numerical value that is not a whole number. It is a number that has been divided into two or more equal parts, such as 1/2, 3/4, 5/8, and 7/16. Fractional numbers are also known as rational numbers.
Yvette needs 4.6 yards of fabric for her blanket. She can convert this decimal measurement into a fraction by dividing the decimal by 1. This yields 4.6/1 or 46/10.
Yvette also needs 1.83 feet of cording for the border of her blanket. She can convert this decimal measurement into a fraction by dividing the decimal by 1. This yields 1.83/1 or 183/100.
To make sure she has the right amount of materials, Yvette should use the numbers from the box to write each measurement as a fraction. For the 4.6 yards of fabric, she should use 9/2, and for the 1.83 feet of cording, she should use 9/5. By writing the measurements as fractions, Yvette can be sure to have the right amount of fabric and cording for her project.
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Question: 'Yvette is making blanket: She is going to the craft store for supplies. She wrote her measurements as decimals. Yvette needs 4.6 yards of fabric: She also needs 1.83 feet of _ cording for the border: Use numbers from the box to write each measurement as a fraction. yards of fabric: feet of cording: " 90'
Does this represent a function yes no because
We can conclude that the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} does not represent a function.
What is functions ?In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. In other words, a function is a rule that assigns a unique output value to each input value. Functions are commonly denoted using functional notation, where the function name is followed by its input, such as f(x) or g(t).
According to given information:To determine if the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} represents a function, we need to check if for every x-coordinate there is only one corresponding y-coordinate.
We can start by graphing the set of points:
From the graph, we can see that for x = -4 and x = 4, there are two different y-coordinates, which means that the set of points does not represent a function.
Therefore, we can conclude that the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} does not represent a function.
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34.6°C =°F (round the answer to the nearest tenth).
● 4.7
● 32.3
● 30.3
● 94.3
● None are correct
Answer:
94.3/C
Step-by-step explanation:
Hope this helps!
Brainliest for correct answer
Answer:
D 40 square feet
Step-by-step explanation:
2×8=16
16÷2=8 is area of one triangle
8+8=16 is area of both triangles
8×3=24 is area of rectangle
24+16=40 square feet
how do you know that 8:12 is equivalent to 4:6
Answer: it is 4:2
Step-by-step explanation: because it is a ratio, both sides can be divided by the same number and still have the same meaning. btw in this case both divided by 2
4. 6.9B Luke is about to start cooking. He places some butter in a pan and heats up the pan. As the pan heats up, the butter begins to melt. How is the energy moving? The cold is moving from the pan and into the butter The cold is moving from the butter and into the pan The heat is moving from the pan and into the butter The heat is moving from the butter and into the pan
As the temperature of the pan increases, the heat transfer from the butter to the pan increases, causing the butter to melt faster. Ultimately, this heat transfer is necessary for Luke to prepare his food. Without it, the butter would stay solid and would not cook properly.
What is heat transfer?Heat transfer is the transfer of energy from one place to another due to a difference in temperature. Heat transfer can occur through conduction, convection, and radiation. Heat is always transferred from hotter to colder objects and the rate of transfer depends on the temperature difference between the two and the material it is passing through. Heat transfer is essential in many natural and man-made processes.
The energy is moving in two directions. Cold is moving from the pan and into the butter, while the heat is moving from the butter and into the pan. This is known as a heat transfer. Heat transfers occur when two objects at different temperatures come into contact with each other. In this case, the cold pan is coming into contact with the warm butter, causing the heat to move from the butter and into the pan. This heat transfer causes the butter to melt. As the temperature of the pan increases, the heat transfer from the butter to the pan increases, causing the butter to melt faster. Ultimately, this heat transfer is necessary for Luke to prepare his food. Without it, the butter would stay solid and would not cook properly.
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can someone help me please
use the Remainder Theorem and synthetic division please
The value of the function f(-10), f(2) and f(3) is 20201, 17 and 142 respectively.
What is the remainder theorem?According to the remainder theorem, when a polynomial p(x) is divided by a linear polynomial q(x) whose zero is x = a, the remainder is given by r = p(a). The remainder theorem enables us to calculate the remainder of the division of any polynomial by a linear polynomial, without actually carrying out the steps of the long division.
Given that, f(x)=2x⁴+x²-10x+1.
Here, f(-10)
Substitute x=-10 in the given function, we get
f(-10)= 2(-10)⁴+(-10)²-10(-10)+1
= 20000+100+100+1
= 20201
Substitute x=2 in the given function, we get
f(2)= 2(2)⁴+(2)²-10(2)+1
= 32+4-20+1
= 17
Substitute x=3 in the given function, we get
f(3)= 2(3)⁴+(3)²-10(3)+1
= 162+9-30+1
= 142
Therefore, the value of the function for x=-10 is 20201.
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What is the quotient of 16sup(x,-2)-8sup(x,-2)-2sup(x,-9) and 2x?
The required quotient of the expression 16x⁻² - 8x⁻² - 2x⁻² divided by 2x is 4x⁻³ - x⁻¹⁰.
What is arithmetic?Arithmetic involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.
Here,
To simplify the given expression, we can start by factoring out the common factor of 2x from the numerator. This gives:
(16x⁻² - 8x⁻² - 2x⁻⁹) / 2x
Next, we can simplify the terms in the numerator by combining the like terms:
= (4x⁻² - x⁻⁹) / x
= 4x⁻²⁻¹ - x⁻⁹⁻¹
= 4x⁻³ - x⁻¹⁰
= 4x⁻³ - x⁻¹⁰
Therefore, the quotient of the expression 16x⁻² - 8x⁻² - 2x⁻² divided by 2x is 4x⁻³ - x⁻¹⁰.
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John is seven years younger than his sister Ann. The sum of their ages is 45. Find John's age. (you do not
need to write the equations)
Answer:
John is 19 and Ann 26
Step-by-step explanation:
to be for real i just counted
i need help i kinda dont understand ):
HELP ASAPPP!!! Solve the triangle
Answer:
14.4 - proofs attached to answer
Step-by-step explanation:
proofs attached to answer
Boston filled up
her gas tanks 3/5s of
the way. What
percent is this?
Answer:
60%
Step-by-step explanation:
ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR ANSWERS
For the given sequence we have.
g(4) = 72g(n) = 2*g(n - 1)g(n) = 4*g(n - 2)g(n) = 8*g(n - 3)g(24)/g(21) = 8.How to describe the sequence?We have a sequence where each term is the double of the previous one.
So if we start with 9, we have:
g(1) = 9
g(2) = 2*9 = 18
g(3) = 2*18 = 36
g(4) = 2*36 = 72
That is the value of g(4).
Now the recursive formulas are trivial:
g(n) = 2*g(n - 1)
g(n) = 4*g(n - 2)
g(n) = 8*g(n - 3)
And finally, the quotient, we can write:
g(24)/g(21) as:
g(n)/g(n - 3)
And by the last recursive formula,we know that:
g(n) = 8*g(n - 3)
g(n)/g(n -3) = 8
So that is the answer there.
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reduce 90/135 plss answer
Answer: 2 over 3
Step-by-step explanation: The GCF of 90 and 135 is 45. So,
divide 90 by 45 = 2
divide 135 by 45 = 3
Answer: 2/3
The distance between points A and B is 35 feet, the distance between points B and C is 35 feet, and the distance between points C and D is 80 feet. How wide is the
canyon? Explain your reasoning.
The width of the canyon in the given image is 70 ft wide.
How to solveTo find the width of the canyon, we can visually extend side DC and AE to form two sides of a rectangle.
Given that side DC is the same as side AE (80 ft), we can use this same reasoning to determine that the width is the sum of side AB and side BC, which is 35 + 35.
This gives us a width of 70 ft.
In a rectangle, the longer side is known as the length and the shorter side is known as the width.
Therefore, using the sum of side AB and side BC, we get a width of 70 ft for the canyon.
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Find the coordinates of the center and the measure of the radius for a circle whose equation is x^2+(y-5)^2=9
Answer:
Coordinates of center: (0, 5)
Radius of circle: 3
For questions 4-6, calculate the simple interest and the amount after the specified period of time.
4. $328.00 invested at 5% for 3 years.
4. Interest:
5. $635.85 invested at 7% for 6 months.
6. $175.01 invested at 8% for 90 days.
Amount:
5. Interest:
Amount:
6. Interest:
Amount:
Step-by-step explanation:
328×5×3÷100
100÷5=20
20÷2=10
328÷2=164
