9514 1404 393
Answer:
125 in²676 km²20 square unitsStep-by-step explanation:
The Pythagorean theorem tells you the square on the hypotenuse is equal to the sum of the squares on the other two sides. (This is the version you use for problem 2.)
This also means the square on one side is the difference between the square on the hypotenuse and the square on the other side. (Use this version for problems 1 and 3.)
1. ? = 200 in² -75 in² = 125 in²
2. ? = 576 km² + 100 km² = 676 km²
3. ? = 36 square units - 16 square units = 20 square units
24-(8÷2)+6 I need help, please somebody answer
Answer:
26
Step-by-step explanation:
STEP
1
:
4
Simplify —
1
Equation at the end of step
1
:
(24 - 4) + 6
STEP
2
:
Final result :
26
plssss helppp (correct answers only)
Answer:
1/4
Step-by-step explanation:
rise/run rule
there's a point at (4,1) and another at (8,2)
A woman bought 70 Cubes
of Sugar and Sold 25% of
them.
How many Cubes is she
Left with?
Answer:
52.5 cubes
Step-by-step explanation:
100-25=75
100%=70
75%=x
75 x 70=5250/100=52.5 cubes
Answer:
Briainliest here
Step-by-step explanation:
there is 70 cubes of sugar
now 25% is sold
70 x 75% = 70 x 0.75 = 52.5
(I did 75% insted of -25% because its and it actualy works!
Hi please help on question! . If answer is correct I'll rate you five stars a thanks and maybe even brainliest! You will even get 39 pts!!
Here is a function machine.
Input : multiply by 6. Subtract 80: output
The input is the same as the output. Find the input.
Also can you please show me an easy to work out these type of questions
The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.
The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:
Output = (6 * x) - 80
The problem states that the input and output are the same. Therefore, we can set up the equation:
x = (6 * x) - 80
To solve for x, we'll rearrange the equation and isolate the variable:
x - 6 * x = -80
Combine like terms:
-5 * x = -80
Divide both sides by -5:
x = (-80) / (-5)
Simplifying the division:
x = 16
Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.
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Solve the equation by factoring. x2+6x-16=0
a.{–2, –8}
c. {–2, 8}
b. {2, 8}
d. {–8, 2}
Answer:
x = 2 or x = -8 (d)
Step-by-step explanation:
Find two factors of 16 which differ by 6. The pair 8,2 works in that 8 × 2 = 16 and 8 - 2 = 6.
Hence we find:
\(0 = x^2+6x-16 = (x+8)(x-2)\)
So x = 2 or x = -8
Alternatively, complete the square then use the difference of squares identity:
\(a^2-b^2 = (a-b)(a+b)\)
with \(a = (x+3)\) and \(b=5\) as follows:
\(0 = x^2+6x-16\)
\(=(x+3)^2-9-16\)
\(=(x+3)^2-25\)
\(=(x+3)^2-5^2\)\(=((x+3)-5)((x+3)+5)\)
\(=(x-2)(x+8)\)
Hence zeros \(x=2\) and \(x=-8\)
Subjects:
Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics
evaluate the expression 5 square minus (3 square+4)
Answer:
12
Step-by-step explanation:
We have 5 squared minus (3 squared plus 4). Convert this to mathematical expression:
- "5 squared" = 5²
- "minus" = -
- "3 squared" = 3²
- "plus 4" = + 4
Put it altogether:
5² - (3² + 4)
5² = 5 * 5 = 25 and 3² = 3 * 3 = 9, so:
25 - (9 + 4) = 25 - (13) = 12
The answer is thus 12.
~ an aesthetics lover
Answer:
12
Step-by-step explanation:
Math
The x-value(s) for which f(x)g(x) is/are ___
9514 1404 393
Answer:
x = -1, 1, 9
Step-by-step explanation:
You want x such that f(x) = g(x). Subtracting g(x) from both sides of this equation lets us rewrite it as ...
f(x) -g(x) = 0
x³ -9x² -(x -9) = 0
x²(x -9) -1(x -9) = 0 . . . factor the first pair of terms
(x² -1)(x -9) = 0 . . . . . . use the distributive property
(x -1)(x +1)(x -9) = 0 . . . . factor the difference of squares
Values of x that make these factors zero will make f(x) = g(x):
x = -1, 1, 9 for f(x) = g(x)
. Mateo and Haley both collect coins. Mateo has 8 more (+) coins in his
collection than Haley. Which expression represents the total number of
coins (c) in both collections?
Answer:
Let Haley be represented as x
Now Mateo has 8 more coins than haley
Mateo = 8 + x
total number of coins is Mateo coins and Haley coins.
x + 8 + x
2x + 8
PLEASE IF ANYONE CAN HELP JUST ANSWERS 1-8 (giving brainliset)
The computation of the equations is illustrated below.
How to illustrate the equation?a. x - y = 1 .... i
x + y = -9 ..... ii
Subtract the equations
-2y = 10
y = 10/-2 = -5
Since x - y = 1
x - (-5) = 1
x + 5 = 1
x = 1 - 5 = -4
b. 3x + 2y = -9
x - y = -13
Multiply equation i by 1
Multiply equation ii by 3
3x + 2y = -9
- 3x - 3y = -39
5y = 30
y = 6
Since x - y = 13
x - 6 = 13
x = 13 + 6 = 19
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work with a partner to complete the graphic organizer about percent and bar diagrams the first one is done for you describe the pattern in the table above use the pattern to find 80% of 150
The value of 80% of 150 is 120
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
80% of 150
The table of value is not given
However, the expression can be evaluated without the table
Using the above as a guide, we have the following:
80% of 150 = 80% * 150
Evaluate the product
80% of 150 = 120
Hence, the value is 120
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On a tractor, the diameter of the large tire is 5 feet and the diameter of the small tire is 3 feet 9 inches.
A toy tractor is made to scale from the actual tractor. On the toy tractor, the diameter of the large tire is 8 inches
What is the diameter in inches of the small tire on the toy tractor?
3 inches
convert 5 feet to inches
5ft= 60in
proportion of the big tires is 60:8 or 15:2
the small tire on the toy model is unknown but the small tires on the actual model is 3ft and 9 in
convert that to inches as well
3ft and 9in= 45 inches
45÷15= 3 (this is to see how many times the x (15) increases so that we can equally increase the y value
3x2= 6
hope this helped!
9514 1404 393
Answer:
6 in
Step-by-step explanation:
The sizes are proportional, so you have ...
toy size / actual size = (8 in)/(5 ft) = x/(3.75 ft)
Multiply by 3.75 ft to get ...
x = (8 in)(3.75/5) = (8 in)(0.75) = 6 in
The small tire on the toy is 6 inches in diameter.
__
3 ft 9 in = 3 9/12 ft = 3.75 ft
A pet store increases the price of a bag of dog food by 5%
If the increase in price is $2.00, what is the new price for dog food?
Answer:
$42.00
Step-by-step explanation:
We can represent the given information as a ratio:
% of original price : price
5% : $2.00
Then, we can multiply both sides of this ratio by 20 (or 100% / 5%) to get 100% of the original price, which IS the original price.
5% : $2.00
↓ × 20 ↓ × 20
100% : $40.00
Now that we know the original price, we can add $2.00 to get the new price.
$40.00 + $2.00 = $42.00
If it takes John 10 hours to paint the fence, how long will it take John and his 2 friends to do the job if they work at the same rate?
A) 1 1/3 hours
B) 1 2/3 hours
C) 2 2/3 hours
D) 3 1/3 hours
Answer:
D) 3 1/3 hours
Step-by-step explanation:
10÷3=3.3=3 1/3
An artist makes a hanging sculpture out of rhombus-shaped pieces. Each rhombus shape has diagonals of 3.5 centimeters and 5 centimeters. What is the area of each rhombus? 4.25 cm2 8.5 cm2 8.75 cm2 17.5 cm2
The area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)
To find the area of each rhombus, we can use the formula for the area of a rhombus:
Area = (diagonal1 × diagonal2) / 2
Given that the diagonals of the rhombus-shaped pieces are 3.5 centimeters and 5 centimeters, we can substitute these values into the formula:
Area = (3.5 cm × 5 cm) / 2
Area = 17.5 \(cm^2\) / 2
Area = 8.75 \(cm^2\)
Therefore, the area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)
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(SAT Prep) Find the value of x.
20⁰
X
40°
The value of the angle is 120°.
What are Corresponding angle?The corresponding angle of a given angle refers to the angle in a congruent position in another figure. For example, if two lines intersect, the angle formed at one vertex of the intersection is called a vertex angle. The corresponding angle in the other figure is the angle in a congruent position, meaning that it has the same measure.
We are given two lines to be parallel
Hence the angle adjacent to x is 40°
Now Sum of All three angle is 180° (Angles in linear pair)
Hence we have
40 + x + 20 = 180°
x = 120°
Hence the measure of angle x is 120°
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The polynomial equation x^(3)-x=0 has exactlty one positive root and exactly one negative real root. Please select the best answer from the choices provided T F
Answer: T
Step-by-step explanation:
Solve for the value of d
Answer:
19
Step-by-step explanation:
105+4d-1=180
104+4d=180
4d=76
d=19
. To determine how funny the jokes were, the researchers asked a group of 86 undergraduates to rate the jokes on a scale from 1 (very unfunny) to 21 (very funny). Participants rated a “lawyer joke” as one of the funniest jokes, with a rating of 14.48 ± 4.38 (M ± SD).
Assuming that these data are normally distributed,
1. What was the rating that marks the cutoff for the top 10% of participant ratings for this joke?
If the "Lawyer's-Joke" is rates as the funniest, then the rating which is the top 10% of participant rating for this joke is 20 marks.
A "Normal-Distribution" is defined as a probability distribution that is symmetric, bell-shaped, and characterized by its mean and standard deviation.
First, we standardize the rating of 14.48 using the formula:
⇒ z = (x - μ) / σ;
where x is = rating of 14.48, μ is = mean rating, and σ is = standard deviation,
⇒ z = (14.48 - 14.48) / 4.38,
⇒ z = 0,
Next, we take the "z-score" that corresponds to the top 10% of the standard normal distribution. We know that the "z-score" is approximately 1.28,
Substituting the value in formula,
We get,
⇒ z = (x - μ) / σ ⇒ 1.28 = (x - 14.48)/4.38,
⇒ x - 14.48 = 1.28 × 4.38,
⇒ x = 20.97 ≈ 20 marks.
Therefore, the rating that marks the cutoff for the top 10% of participant ratings for this joke is approximately 20 on the scale of 1 to 21.
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A______ is a value, usually in the form of a letter or symbol, that can change or that represents an unknown quantity.
Answer:
Variable
Step-by-step explanation:
The equation y - 2/3= 2x(x-1/4) is written in point-slope form. What is the equation in slope-intercept form?
A y = negative 2x - 1/6
B y = negative 2 x + 7/6
C y = negative 2 x + 5/12
D y = negative 2x - 11/12
A linear equation in point-slope is written as:
y - h = a*(x - k)
While the slope-intercept form is:
y = a*x + b
where a is the slope and b is the y-intercept.
We will find that the correct option is B: y = -2*x + 7/6
We start with:
y - 2/3 = -2*(x - 1/4)
And we want to rewrite this in the slope-intercept form.
First, we can distribute the product at the right:
y - 2/3 = -2*x + 2/4
Now we can add 2/3 in both sides to get:
y = -2*x + 2/4 + 2/3 = -2*x + 6/12 + 8/12
y = -2*x + 14/12
Simplifying the y-intercept we get:
y = -2*x + 7/6
Then the correct option is B: "-2*x + 7/6"
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Solution:
Note that:
Given equation: y - 2/3 = -2(x - 1/4)Simplify the given equation to obtain your answer in slope intercept form.
y - 2/3 = -2(x - 1/4)=> y - 2/3 = -2x + 2/4=> y = -2x + 2/4 + 2/3=> y = -2x + 6/12 + 8/12=> y = -2x + 14/1214/12 simplifies to 7/6.
=> y = -2x + 7/6Option B is correct.
Given that one centimeter is approximately 0.01 yards, how many
inches are in 66.75 centimeters?
Provide an answer accurate to the nearest tenth.
==========================================
Work Shown:
1 cm = 0.01 yards
66.75*(1 cm) = 66.75*(0.01 yards)
66.75 cm = 0.6675 yards
1 yard = 3 feet
0.6675*(1 yard) = 0.6675*(3 feet)
0.6675 yards = 2.0025 feet
1 foot = 12 inches
2.0025*(1 foot) = 2.0025*(12 inches)
2.0025 feet = 24.03 inches
how do you find Z-scores for 95% confidence interval and 92%
What is 8,473,227 rounded to the nearest hundred thousand
Answer:
8 500 000
Step-by-step explanation:
since it for the hundred thousand round off, we consider the ten thousand place value if it would have an effect on the hundred thousand place value.
In our case it did not have effect because it is below 5
"Name the property used in the equation below
a) 3 x+9 y-1=3(x+3 y)-1
b) 7 x+5 y-5 y=7 x
c) (x-4)(x+3)=0
d) 4 x+5 x=5 x+4 x"
The property used in each equation are
a) 3x + 9y - 1 = 3(x + 3y) - 1 distributive property
b) 7x + 5y - 5y = 7x additive inverse property
c) (x - 4)(x + 3) = 0 distributive property
d) 4x + 5x = 5x + 4x commutative property
What is distributive property?The distributive property states that multiplying the total of two or more addends by a number produces the same outcome as multiplying each addend separately by the number and adding the products together.
Additive inverse involves adding which involves two numbers that has opposite sign. the addition lead to zero
b) 7x + 5y - 5y = 7x
= 7x + 0
= 7x
What is commutative property?
This law basically asserts that while adding and multiplying numbers, you can rearrange the numbers in a problem without changing the solution.
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2. Four friends have stamps, as described below.
• Samir has 60 stamps.
•Lisa has 24 times as many stamps as Samir.
Kwame has 443 stamps.
To the nearest whole number, what is the mean of the
Jake has 159 fewer stamps than Kwame.
number of stamps for these four friends?
Answer:
All of them have a combined of 2,227 Stamps
Mean: 2014
A group of 23 students want to see the show at the planetarium. Tickets cost $11 for each student who is a member of the planetarium’s frequent visitor program and $13 for each student who is not a member. The total cost of the students’ tickets is $261.
Out of 23 students 19 students are the member of planetarium's frequent visitor program and 4 students are not the members.
Given,
The total number of students in a group = 23
Cost of ticket for member of planetarium's frequent visitor program = $11
Cost of ticket for the student who is not a member = $13
The total cost of the students ticket = $261
Lets take,
The number of students with membership = x
The number of students without membership = y
Total number of students, x + y = 23 -----------(1)
Now,
Total cost for the tickets, 11x + 13y = 261
Now, Multiply 13 with (1)
We get,
13x + 13y = 299
Solve for x
13x + 13y = 299 -
11x + 13y = 261
2x + 0 = 38
2x = 38
x = 38/2
x = 19
Now, put x in (1)
19 + y = 23
y = 23 - 19
y = 4
That is,
The number of students with membership is 19 and the number of students without membership is 4.
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- У
D 14x
. A high-school band has d drummers
and 10 violinists. There are 2 more
violinists than drummers. Which of the
following equations represents the
situation?
A d= 10 + 2
B d= 10-2
Cd=2 - 10
D d= 2 x 10
Given that ∅ = 12.2° , calculate the area of the triange below
give your answer to 2 d.p.
Answer:
A = (1/4)√(4 + 11 + 14)√(-4 + 11 + 14)√(4 - 11 + 14)√(4 + 11 - 14)
A = (1/4)√29√21√7
= about 16.32 mm²
Answer:
16.27 mm² (see comment)
Step-by-step explanation:
You want the area of a triangle with side lengths 11 mm and 14 mm, and the angle between them 12.2°.
AreaThe area is given by the formula ...
A = 1/2ab·sin(C)
A = 1/2(11 mm)(14 mm)·sin(12.2°) ≈ 16.27 mm²
The area of the triangle is about 16.27 square millimeters.
__
Additional comment
If you use Heron's formula for the area from the three side lengths, you find it is about 16.32 mm². That's the trouble with over-specified geometrical figures. The result you get depends on which of the given values you use. (To get the area accurate to 4 sf, the angle needs to be specified to 4 sf: 12.24°.)
s = (4 +11 +14)/2 = 14.5
A = √(s(s -a)(s -b)(s -c))
A = √(14.5(14.5 -4)(14.5 -11)(14.5 -14)) = √(14.5·10.5·3.5·0.5) = √266.4375
A ≈ 16.32
<95141404393>
simplify. -4(2x-v) + (-6v+5x)
Answer:
-2v - 3x
Step-by-step explanation:
-4(2x-v) + (-6v+5x)
Expand.
-8x + 4v - 6v + 5x
Add or subtract like terms.
-6v + 4v - 8x + 5x
-2v - 3x
Answer: -2v-3x
Step-by-step explanation:
What is the distance between the points (7,5) (4,9)
The Distance will be 5.
The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.
Let point (7,5) be A and point (4,9) be B
Distance formula =
Ab = √(x1- x2) ² + (y1 -y2) ²
Then Distance AB will be
Ab = √(7-4) ² + (5 -9) ²
= √ 3² + 4²
= √ 9 + 16
= 5
Hence the distance will be 5.
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The points \((7,5)\) \((4,9)\) are separated by a distance of \(5\) units.
The distance between the two points is given by the length of the segment between them.
The Distance Formula is a helpful tool for figuring out how far apart two points are when they are arbitrarily represented on a coordinate plane as points A\((x_{1},y_{1})\) and B\((x_{2},y_{2})\).
The Pythagorean Theorem is essentially the source of the Distance Formula. Calculating the right triangle's hypotenuse's length is the fundamental purpose of the distance formula.
Use the distance formula to get the distance between two places.
\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)
In the posted query,
\((x_{1},y_{1})=(7,5)\\\\(x_{2},y_{2})=(4,9)\)
Distance formula,
\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)
\(d = \sqrt{ (4-7)^{2} +(9-5)^{2} }\)
\(d = \sqrt{ (-3)^{2} +(4)^{2} }\)
\(d = \sqrt{ 9+16 }\)
\(d = \sqrt{ 25 }\)
\(d = 5\)
Therefore, the points \((7,5)\) \((4,9)\) are at a distance of \(5\) units.
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