pls answer quick it's gr 9 academic math lol
Answer:
1. (3^3 + 3^2)^2 actually equals (27 + 9)^2
which is the first mistake
2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7
3. 3^7 DOES NOT EQUAL 21
Step-by-step explanation:
when you add powered numbers together, it does not multiply it, as your example:
1. (3^3 + 3^2)^2 actually equals (27 + 9)^2
which is the first mistake
2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7
3. 3^7 DOES NOT EQUAL 21
Hi there!
Error 1
[tex](3^3+3^2)^2\\= (3^5)^2[/tex]
The student added the exponents of 3³ and 3² and wrote 3⁵. This rule can only be applied to exponents with the same base that are being multiplied. 3³ and 3² were being added, not multiplied, so this rule can't be applied.
Error 2
[tex](3^5)^2\\= 3^7[/tex]
When a power has a power, we multiply them, not add. Here is the correct way of doing it:
[tex](3^5)^2\\= 3^5^*^2\\= 3^1^0[/tex]
Error 3
[tex]3^7\\= 21[/tex]
The student multiplied 3 and 7 to get 21, but 3⁷ actually means 3 multiplied by itself 7 times. The correct answer for this part would be 2187.
I hope this helps!
5.
MULTIPLE CHOICE: There are 15 pieces of fruit in a bowl and 6 of them are apples.
What percentage of the pieces of fruit in the bowl are apples?
a.
0.06%
b.
0.4%
C.
6%
d.
40%
Answer:
d
Step-by-step explanation:
alr, 15 fruits total, 6 are apples.
6/15 = 2/5
2/5 is also the same as 40% or 0.4, therefore the option is d.
go to gauthmath's sub reddit if needing more help ^^
the tens digit of a two digit number is 5 greater the units digit. If you subtract double the reversed number from it, the result is a fourth of the original number. Find the original number.
Given:
The tens digit of a two digit number is 5 greater the units digit.
If you subtract double the reversed number from it, the result is a fourth of the original number.
To find:
The original number.
Solution:
Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:
[tex]n=(x+5)\times 10+x\times 1[/tex]
[tex]n=10x+50+x[/tex]
[tex]n=11x+50[/tex]
Reversed number is:
[tex]x\times 10+(x+5)\times 1=10x+x+5[/tex]
[tex]x\times 10+(x+5)\times 1=11x+5[/tex]
If you subtract double the reversed number from it, the result is a fourth of the original number.
[tex]11x+50-2(11x+5)=\dfrac{1}{4}(11x+50)[/tex]
[tex]11x+50-22x-10=\dfrac{1}{4}(11x+50)[/tex]
[tex]40-11x=\dfrac{1}{4}(11x+50)[/tex]
Multiply both sides by 4.
[tex]160-44x=11x+50[/tex]
[tex]160-50=11x+44x[/tex]
[tex]110=55x[/tex]
Divide both sides by 55.
[tex]\dfrac{110}{55}=x[/tex]
[tex]2=x[/tex]
The unit digit is 2. So, the tens digit is [tex]2+5=7[/tex].
Therefore, the original number is 72.
need some help with this
Answer:
y=4x-7
Step-by-step explanation:
here,
the equation of straight line in slope intercept form is;
y=mx+c
( m= slope
c= y-intercept )
soo..
the question has asked for slope 4 i.e. m=4
and y- intercept -7 i.e. c= -7
now.
the required equation is
y= 4x-7
mark me brainliest and follow me ... please
2/5(1/3x-15/8)-1/3(1/2-2/3x)
Answer:
[tex]\frac{16}{45}x-\frac{11}{12}[/tex]
Step-by-step explanation:
We are given that an expression
[tex]\frac{2}{5}(1/3x-15/8)-\frac{1}{3}(1/2-2/3x)[/tex]
We have to find the equivalent expression.
[tex]\frac{2}{5}(\frac{1}{3}x-\frac{15}{8})-\frac{1}{3}(\frac{1}{2}-\frac{2}{3}x)[/tex]
[tex]\frac{2}{5}\times \frac{1}{3}x-\frac{2}{5}\times \frac{15}{8}-\frac{1}{3}\times \frac{1}{2}-\frac{1}{3}\times (-\frac{2}{3}x)[/tex]
Using the the property
[tex]a\cdot (c-b)=a\cdot c-a\cdot b[/tex]
[tex]\frac{2}{5}(1/3x-15/8)-\frac{1}{3}(1/2-2/3x)[/tex]
[tex]=\frac{2}{15}x-\frac{3}{4}-\frac{1}{6}+\frac{2}{9}x[/tex]
[tex]=\frac{6x+10x}{45}+\frac{-9-2}{12}[/tex]
[tex]=\frac{16}{45}x-\frac{11}{12}[/tex]
[tex]\frac{2}{5}(1/3x-15/8)-\frac{1}{3}(1/2-2/3x)=\frac{16}{45}x-\frac{11}{12}[/tex]
97 percent of 245m what is the answer
Answer:
multiply them
Step-by-step explanation:
trust me on this one i love using that hack
Will Mark brainlest help please please pease
Answer:
6
Step-by-step explanation:
I think I just answered that question.
"image" 7 means the functional result is 7, and we need to find the value of x to make this happen.
7 = (3x - 4)/2
14 = 3x - 4
18 = 3x
x = 6
Tre and Hector want to calculate the maximum possible throw at this field.
They calculate that the farthest point on the field would be the center fielder standing back at the dead center wall at point (322, 322). Suppose the center fielder threw the ball from here to home base.
How far is the throw?
Answer:
[tex]d=455.38~units[/tex]
Step-by-step explanation:
The coordinates of the dead center of the field, [tex]D\equiv (322,322)[/tex]
Home base in a coordinate system is always the origin, [tex]O\equiv(0,0)[/tex]
The center fielder threw the ball form the dead center to the home base, hence the distance of throw:
[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]d=\sqrt{(322-0)^2+(322-0)^2}[/tex]
[tex]d=455.38~units[/tex]
Answer:Hector threw the ball 65 feet while Tre threw the ball 63 feet far
Step-by-step explanation:
The farthest throw would probably be around 450 feet
HELP ASAP PLZ I NEED IT
Answer:
4. 38 more schools offer basketball than golf.
5. Tennis is offered in the least amount of schools.
Step-by-step explanation:
4. take the number of schools that offer basketball (321) and subtract the number of schools that offer golf (283) to get how many more offer basketball than golf.
5. look at the numbers to the side of the chart and find the lowest number (276). then follow over to the left, and you will find that the least offered sport in schools is tennis.
SOMEONEEEE HELPPP MEEEE OUTTTTTTT!!!!!
Answer:
4/3
Step-by-step explanation:
Since this is a right triangle,
tan C = opp side / adjacent side
tan C = 36/ 27
tan C = 4/3
please help me with this
Answer:
200
Step-by-step explanation:
Do not round your answer. Type in the number with the decimal. 15% of 25 is
Answer:
to add on to what the other dude said its 4
Step-by-step explanation:
Is the data set "color of the coal taken from a rail car" quantitive or qualitative? If it is quantitative is it descents or continuous?
A quantitative , discrete
B quantitative continuous
C qualitative
D neither
Answer:
It's A.)
Step-by-step explanation:
please help I beg you you will get marked branliest asap
Answer:
its D I think........ not 100% sure
4(1)+12(x+3)-6(x-5)=4(12)+4(x)
Answer:
x = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4(1) + 12(x + 3) - 6(x - 5) = 4(12) + 4(x)
Step 2: Solve for x
Simplify: 4 + 12(x + 3) - 6(x - 5) = 48 + 4x[Distributive Property] Distribute parenthesis: 4 + 12x + 36 - 6x + 30 = 48 + 4xCombine like terms: 6x + 70 = 48 + 4x[Subtraction Property of Equality] Subtract 4x on both sides: 2x + 70 = 48[Subtraction Property of Equality] Subtract 70 on both sides: 2x = -22[Division Property of Equality] Divide 2 on both sides: x = -11What is the midpoint of the line segment graphed below?
(-1,2)
(9,5)
Answer:
1,3
Step-by-step explanation:
Answer:
(4, 2.5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (9, 5) , then
midpoint = ( [tex]\frac{-1+9}{2}[/tex], [tex]\frac{2+5}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex], [tex]\frac{7}{2}[/tex] ) = (4, 3.5 )
what is (x − 3)(x − 5) = 35
Answer:
x=10 x=-2
Step-by-step explanation:
(x − 3)(x − 5) = 35
FOIL
x^2 -5x-3x+15 = 35
Combine like terms
x^2 -8x+15 = 35
Subtract 35 from each side
x^2 -8x+15-35 = 35-35
x^2 -8x-20 =0
Factor
What 2 numbers multiply to -20 and add to -8
-10*2 = -20
-10 +2 = -8
(x-10)(x+2) =0
Using the zero product property
x-10 =0 x+2 = 0
x=10 x=-2
plz help me with this
Answer:
x=100
Step-by-step explanation:
100 and x are vertical angles and vertical angles are equal
x = 100
Answer:
100 degrees
Step-by-step explanation:
Angle x is formed from two intersecting segments. Opposite angles of intersecting lines or segments are congruent therefore since the opposite angle is given at 100 degrees, x must also be 100.
Given: x - 7 > -2.
Choose the solution set.
A. {x | x R, x > 14}
B. {x | x R, x > -5}
C. {x | x R, x > 5}
D. {x | x R, x > -9}
Given set:- x - 7 > - 2
Solving It:-
x - 7 > - 2
x > -2 + 7 [Here '7' is greater than '-2' So Sign Changes To Positive]
x > 5
So Correct Solution Set Will Be
Option C= {x | x R, x > 5}
Hope This Helps Youwrite a formula that describes the value of an initial investment of $100 that loses value at a rate of 8% per year compounded continuously
Answer:
[tex]A = 100(.92)^{t}[/tex]
Step-by-step explanation:
factorize: x² + 6x + 5-4y - y²
Answer:
below
Step-by-step explanation:
that is the procedure above
The factorized form of x² + 6x + 5 - 4y - y² is:(x + 1)(x + 5) - (4y + y²)
To factorize the expression x² + 6x + 5 - 4y - y², group the terms and factor them separately.
Rearranging the terms
(x² + 6x + 5) - (4y + y²)
Now let's factor each group separately:
1. Factoring x² + 6x + 5:
The quadratic expression x² + 6x + 5 can be factored into two binomial factors. We look for two numbers that multiply to give 5 and add up to 6 .
These numbers are 1 and 5:
(x + 1)(x + 5)
2. Factoring -4y - y²:
The terms -4y - y² have a common factor of -1.
Factoring out -1 gives
-1(4y + y²)
Combining the factorization of both groups
(x + 1)(x + 5) - 1(4y + y²)
Therefore, the factorized form is (x + 1)(x + 5) - (4y + y²).
Learn more about Factorization here:
https://brainly.com/question/31379856
#SPJ4
When AG = 16 ft, find the area of the region that is NOT shaded. Round to the nearest tenth.
Answer:
730.88
Step-by-step explanation:
Area of the entire circle = pi * r^2
r = 16
Area = 3.14 * 16^2
Area = 803.84
1/4 of the circle contains the shaded area. It's area = 1/4 * 803.84
Area of 1/4 circle =
200.96
the area of the triangle
Area = 1/2 AG * G?
AG and G? are equal
Area = 1/2 * 16^2
Area = 128
Area of 1/4 circle - area of the triangle = area of the shaded portion
shaded portion = 200.95 - 128
Shaded Portion = 72.96
So the area of the unshaded part
unshaded = 803.84 - 72.96
Unshaded = 730.88
Given that PQ/ST = QR/TU= RS/US, select the postulate or theorem that you can use to conclude that the triangles are similar.
Answer: SSS Similarity Theorem (Choice A)
This is because we have three pairs of corresponding sides that form the same ratio, as shown by the given equation PQ/ST = QR/TU = RS/US.
That equation is basically the shorthand version of PQ/ST = QR/TU and QR/TU = RS/US combined together as one.
Please help. I need it
Answer:
angle c = 32.204°
1. A triangular piece of wood has side lengths 14 cm, 19 cm and 30 cm. The angle between the 14 cm and 19 cm sides need to be known to see if it will fit properly into a cabinet. What is the angle, accurate to one decimal place, between the 14 cm and 19 cm sides?
Answer:
130.1°
Step-by-step explanation:
Using the cosine rule:
[tex] = { \cos }^{ - 1} ( \frac{ {14}^{2} + {19}^{2} - {30}^{2} }{2 \times 14 \times 19} )[/tex]
= 130.146°
The measure of angle is 72.8° (accurate to one decimal place ) between the 14 cm and 19 cm sides.
What is the Cosine Rule?The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.
c² = a² + b² − 2ab cos(C)
The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.
Given data as :
Length of side a = 14 cm
Length of side b = 19 cm
Length of side c = 20 cm
The angle of C is the between the side a and side b
According to the cosine rule,
c² = a² + b² − 2ab cos(C)
Substitute the values of a, b and c in the Cosine Rule,
20² = 14² + 19² - 2(14)(19)cos(C)
400 = 196 + 361 - 532cos(C)
400 = 557 - 532cos(C)
532cos(C) = 557 - 400
532cos(C) = 157
cos(C) = 157/532
cos(C) = 0.2951
(C) = cos⁻¹(0.2951)
(C) = 72.83
(C) = 72.8° (accurate to one decimal place)
Hence, the measure of angle is 72.8° (accurate to one decimal place ) between the 14 cm and 19 cm sides.
Learn more about Cosine Rule here:
https://brainly.com/question/20839703
#SPJ5
A hospital uses cobalt-60 in its radiotherapy treatments for cancer patients. Cobalt-60 has a half-life of 7
years. The hospital has 228 g of cobalt-60. Calculate the amount of colbalt-60 remaining after 18 months.
Round to two decimal places.
Answer:
We have 197 g of Co-60 after 18 months.
Step-by-step explanation:
We can use the decay equation.
[tex]M_{f}=M_{i}e^{-\lambda t}[/tex]
Where:
M(f) and M(i) are the final and initial mass respectivelyλ is the decay constant (ln(2)/t(1/2))t(1/2) is the half-life of Cot is the time at the final amount of m[tex]M_{f}=228e^{-\frac{ln(2)}{7} 1.5}[/tex]
[tex]M_{f}=197\: g[/tex]
Therefore, we have 197 g of Co-60 after 18 months.
I hope it helps you!
The function f(t) = 3 - t shows the cost of an ice cream sundae ($) with a different number of toppings (t). What is the slope of the function?
Answer:
-1
Step-by-step explanation:
are you sure this is the right equation ? it would mean that the more toppings the cheaper the ice cream.
but as it is written, the slope is -1.
the slope of a line is always the factor of the variable in the equation.
it is the ratio of y/x indicating how many units y is changing for a given change of x.
in our example here, if x changes 1 unit to the right (+1), then y changes 1 unit down (-1).
so, -1/+1 = -1
The slope of the function f(t) = 3 - t is -1
What is function?"It defines a relation between input and output values."
What is the slope of the function?"It is the rate of change of the dependent variable of the function with respect to that of the independent variable."
For given question,
We have been given a function f(t) = 3 - t
We need to find the slope of the function.
[tex]m=\frac{d}{dt}f(t)\\\\ m=\frac{d}{dt}( 3 - t)\\\\m=-1[/tex]
Therefore, the slope of the function f(t) = 3 - t is -1
Learn more about the slope of the function here:
https://brainly.com/question/9554035
#SPJ2
8u^2- 42u^2
Help plzz
Answer:
- 34u^2
Step-by-step explanation:
8u^2 - 42u^2
= ( 8 - 42 )u^2
= - 34u^2
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{The only thing we can do to solve for this equation is to COMBINE}\\\large\textsf{the LIKE TERMS. }[/tex]
[tex]\mathsf{8u^2 - 42u^2}\\\mathsf{= (8u^2- 42u^2)}\\\mathsf{= 8 - 42 \rightarrow \bf -34}\\\textsf{Thus this means }\mathsf{8u^2 - 42u^2}\textsf{ has to equal to }\mathsf{ \bf -34u^2}\\\\\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf-34u} \mathsf{\bf ^2}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]
Simplify 3x+(4x-3)
Pls :)
Answer:
7x - 3
Step-by-step explanation:
3x+(4x-3)
Remove parenthesis
3x + 4x - 3
Combine like terms
3x + 4x = 7x
7x - 3
Answer:
7x-3
Step-by-step explanation:
Removing the parantheses, we get 3x+4x-3. Adding like terms we get 7x-3.
7x-3.
There are three square gardens whose lengths of the sides are 3 ft, 7ft, and 2 ft respectively. Find the total area of the three gardens in square feet
Answer:
62 sq ft
Step-by-step explanation:
3 · 3 = 9
The first garden's area is 9 square feet.
7 · 7 = 49
The second garden's area is 49 square feet.
2 · 2 = 4
The third garden's area is 4 square feet.
We add 9 + 49 + 4.
9 + 49 + 4 = 62
The total area of the three gardens is 62 square feet.