Answer:
[tex]x=\frac{5}{4} \text { or } x=-\frac{5}{4}[/tex]
Step-by-step explanation:
48 = 3 × 16
75 = 3 × 25
_________
Then, a Complete factorization of 48x² - 75 is :
[tex]\begin{aligned}48 x^{2}-75 &=3 \times\left(16 x^{2}\right)-3 \times(25) \\&=3 \times\left(16 x^{2}-25\right)\end{aligned}[/tex]
_____________________
Now let’s solve our equation 48x² - 75 = 0
48x² - 75 = 0 means 3 × (16x² − 25) = 0 means 16x² − 25 = 0
[tex]\begin{array}{l}16 x^{2}-25=0 \\\\\Leftrightarrow 16 x^{2}=25 \\\\\Leftrightarrow x^{2}=\frac{25}{16} \\\\\Leftrightarrow x=\sqrt{\frac{25}{16}} \text { or } x=-\sqrt{\frac{25}{16}} \\\\\Leftrightarrow x=\frac{5}{4} \text { or } x=-\frac{5}{4}\end{array}[/tex]
3. Erin is an architect who is currently constructing a new building. She is looking at the building's new blueprints. a) Erin needs to find the distance around the patio in order to finish construction soon and build a fence. What is the distance around the patio? Show your steps. b) Erin now needs to find the area of this part of the building in order to buy tiles for the floor plan, which is shown on the blueprints. What is the area of the floor plan? Show your steps
Answer:
a is when you need to go from 12 to 5 so is this flvs?
Step-by-step explanation:
Answer:
a)
first you need to find the missing lengths the first one would be
12-7=5
and the second one you will need to find the circumference
π*4*2=8π
and now you add
12+7+5+5+3+8π=32+8π
so the perimeter is 32+8π
b)
so lets make some sections
one of the sections will be a rectangle that is 8 in length and 7 in width
8*7=56units^2
and another reactangle that is 3 in length and 5 in width
3*5=15units^2
and then we need to find the area for the semicircle with a raidius of 4
π*4^2=16πunits^2
them divide by 2
(16π)/2=8pi
so the area would be 71+8π
Step-by-step explanation:
A cylinder has a height of 20 inches and a radius of 19 inches. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.?????????HELP PLEASEEEEEEEEEEE
Answer:
22670.8 :D
Step-by-step explanation:
Volume of a cylinder: 3.12(r^2)h
Now lets solve :)
3.14(19^2)20
3.14(361)20
(1133.54)20
22670.8 :)
Have an amazing day!!
Please rate and mark brainliest!!
hello please help with number 14 and 15 thank you 20 points and will be brainliest if its right thank you
14)
The missing value is 42.
15)
The missing value is 17.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
14)
0.5 x ( 8 + ___ ) = 25
We will write in terms of x.
0.5 x (8 + x ) = 25
8 + x = 25/0.5
8 + x = 50
x = 50 - 8
x = 42
15)
165 = 5 x ( 16 + __ )
We will write in terms of x.
165 = 5 x ( 16 + x )
165/5 = 16 + x
x = 33 - 16
x = 17
Thus,
The missing value of x is 42 and 17.
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100 points !! 3 answers !!
Instructions: Find the missing side. Round your answer to the nearest tenth.
#1
cos28=x/25x=25cos28x=22.1#2
cos26=x/15x=15cos26x=16.7#3
tan41=x/16x=16tan41x=14Answer:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 28°A = xH = 25[tex]\implies \sf \cos(28^{\circ})=\dfrac{x}{25}[/tex]
[tex]\implies \sf x=25cos(28^{\circ})[/tex]
[tex]\implies \sf x=22.1\:(nearest\:tenth)[/tex]
Given:
[tex]\theta[/tex] = 26°A = 15H = x[tex]\implies \sf \cos(26^{\circ})=\dfrac{15}{x}[/tex]
[tex]\implies \sf x=\dfrac{15}{\cos(26^{\circ})}[/tex]
[tex]\implies \sf x=16.7\:(nearest\:tenth)[/tex]
Given:
[tex]\theta[/tex] = 41°O = xA = 16[tex]\implies \sf \tan(41^{\circ})=\dfrac{x}{16}[/tex]
[tex]\implies \sf x=16\tan(41^{\circ})[/tex]
[tex]\implies \sf x=13.9\:(nearest\:tenth)[/tex]
A company promises to release a new smartphone model every month.Each models battery life will be 3% longer than the previous models. If the current models battery life is 684.0 minutes , what will the latest models battery life be 7 months from now ?
Using an exponential function, it is found that the latest models battery life will be of 841 minutes 7 months from now.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, considering that the current battery life is of 684 minutes, and it should increase by 3% each month, the equation for the battery life after t months is given by:
[tex]A(t) = 684(1.03)^t[/tex]
Then, in 7 months, it will be given by:
[tex]A(7) = 684(1.03)^7 = 841[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
What is the average rate of change?
A. 4
B. 2/5
C. 1
D. 2
Answer:
C) 1
Step-by-step explanation:
The average rate of change remains constant among the 3 given points as [tex]\frac{5-4}{2-1}=1[/tex] and [tex]\frac{10-5}{7-2}=1[/tex], so your answer is C
Drag the tiles to the correct boxes to complete the pairs.
Match each object with the characteristic it represents.
a broom handle
the letter T
a sun ray
a cookie crumb
the horizon
rows of seats on
an airplane
ray
line segment
point
line
perpendicular lines
parallel lines
Answer:
a broom handle - line segment
the letter T - perpendicular lines
a sun ray - ray
a cookie crumb - point
the horizon - line
row of seats of airplane - parallel lines
Step-by-step explanation:
a broom handle is straight and has a beginning and end, same goes for a line segment
the letter T has two lines that intersect with one another, these lines are perpendicular
a sun ray is well, a ray
a cookie crumb is small and round, similar to a point
lines do not have a beginning or end, like the horizon line
and the row of seats on an airplane all line up together like lines that are parallel.
Hope this helps :)
help me solve and explain this
Answer:
B because the length of R to U is 6x5
Dr. Smith, a biology professor at Bradford University, has decided to give his classes a standardized biology exam that is nationally normed. This indicates that the normal distribution is an appropriate approximation for the probability distribution of students’ scores on this exam. The probability distribution of students’ scores on this standardized exam can be estimated using the normal distribution shown below.
X
X
Inflection Point
Inflection Point
70
78
86
State the mean of the distribution of the biology exam scores.
State the standard deviation of the distribution of the biology exam scores.
Grading Curve Option I
Originally, Dr. Smith decides to curve his students’ exam grades as follows.
Students whose scores are at or above the percentile will receive an A.
Students whose scores are in the – percentiles will receive a B.
Students whose scores are in the – percentiles will receive a C.
Students whose scores are in the – percentiles will receive a D.
Students whose scores are below the percentile will receive an F.
Find the z-scores that correspond to the following percentiles.
percentile
percentile
percentile
percentile
Using that information, find the exam scores that correspond to the curved grading scale. Assume that the exam scores range from 0 to 100. (Round to the nearest whole number.)
A: –
B: –
C: –
D: –
F:
For inflection Points of
707886The mean and standard deviation are is mathematically given as
x=78
sigma=8
What is Normal distribution?Normal distribution is simply a symmetrical bell-shaped graph that displays the distribution of numerous random variables.
Generally, the equation for the mean is mathematically given as
x=total sum /amount
Therefore
x=70+78+80/3
x=78
In conclusion, Inflexion point for normal distribution is given as
[tex]I=\mu+\sigma\\\\\mu+\sigma=86[/tex]
Also
[tex]\mu-\sigma=70[/tex]
Therefore
[tex]78+\d\sigma=86[/tex]
sigma=8
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what two numbers multiply to get -8 and add to get 4?
Answer:
-2-2√3, -2+2√3
Step-by-step explanation:
Let x and y be two numbers.
Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:
x(-4-x) = -8
-4x -x^2 = -8 . . . . . eliminate parentheses
x^2 +4x = 8 . . . . . . multiply by -1
x^2 +4x +4 = 12 . . . add 4 to complete the square
(x +2)^2 = 12
x +2 = ±√12 = ±2√3
x = -2±2√3
Witch expression makes the equation true for all values of x? 15x - 15 = 5(?)
A. 3x - 3
B. 3x- 15
C.5x-5
D.12x-1
The expression that will make the algebraic equation true for all values of x is: A. 3x - 3.
What is a True Algebraic Equation?An algebraic equation is an equation where for a value of x, the right side and the left side of the equation must be balanced.
Given the algebraic equation, 15x - 15 = 5(?)
The missing expression, is 3x - 3, because:
15x - 15 = 5(3x - 3)
Open the bracket
15x - 15 = 15x - 15
Both sides are equal.
Therefore, the expression that will make the algebraic equation true for all values of x is: A. 3x - 3.
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Please help with the proportions word problem!!
Jillian wants to buy an $80 pair of boots. Before she can, the store raises the price by $24. By what percentage did they raise the price? Use proportions to solve the problem.
Answer:
30%
Step-by-step explanation:
the percent of 24 of 80 is 30% so they rasid the price 30% percent of 80
6th grader here sorry if wrong
5.5 - Solving Quadratic Equations - Perfect Square Trinomials and Difference of Squares
Factor the following if they are a perfect square trinomial or a difference of squares.
a) x^2 + 24x + 144 = 0
b) 9x^2 - 36x + 36 = 0
c) x^2 - 64 = 0
d) 4x^2 - 81 = 0
Answer:
Step-by-step explanation:
(a²-2ab+b²)=(a-b)²
a²+2ab+b²=(a+b)²
i solve b and d
(b)
9x²-36x+36=0
(3x)²+2×3x×-6+(-6)²=(3x-6)²
(d)
a²-b²=(a+b)(a-b)
4x²-81=0
4x²-81=(2x)²-9²=(2x+9)(2x-9)
Find the supplement of an angle that measures 20 degrees.
2. Find the slope of this line.
Answer:
Answered below
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
You need 2 coordinates from your graph as long as the line you have is completely straight. You have 2 points it is (0,3) & (8,0)
So your y2 is 0
y1 is 3
So your x2 is 8
x1 is 0
Plug in and solve (keep in mind you should be expecting a negative slope since your line is sloping downwards as you advance to the right.
m = (0-3)/(8-0)
m = -3/8
m = slope = -3/8x = -0.375x
Slope is given as a number followed by value x
(Please someone help me!) (No links!)
What do I put??
Answer:
X=16
Missing angle = 48
Step-by-step explanation:
What is the scale factor? Multiple choice
Answer:
0.753/4post/preStep-by-step explanation:
In general, a scale factor is applied to an original (pre) to obtain an image (post). It is the ratio post/pre that expresses the relationship between image dimensions and original dimensions.
Here, that post/pre ratio is 3/4 = 0.75.
what is 20 - 10
what is 20+ 10
Answer:
20-10=20
20+10=30
Step-by-step explanation:
For 20-10 let's assume John has 20 apples. He gives 10 to Carol.
Understand that subtraction can mean taking away or finding a difference. For example, 13 – 8 can mean, “How many are left when you take 8 away from 13?” Or, 13 – 8 can be interpreted as, “How much more is 13 than 8?” Understand that subtraction is the opposite of addition. Know the addition facts up to 9 + 9.
If john has 20 apples and gives 10 to carol, he will have 10 left.
For 20+10, we do the opposite operation, which is addition.
Addition is finding the total value of two or more numbers. Addition is shown using the + symbol in maths sums.
If john has 20 apples and buys 10 more, he will have 30 apples.
Suppose ABCD is a parallelogram. If AB = 9x + 2, CD = 12x - 4, BC = x + 7, determine the length of AD.
Need help asap
======================================================
Explanation:
For any parallelogram, the opposite sides are parallel and are the same length.
AB = CD
9x+2 = 12x-4
2+4 = 12x-9x
6 = 3x
x = 6/3
x = 2
Which leads to
AB = 9x+2 = 9(2)+2 = 20CD = 12x-4 = 12(2)-4 = 20BC = x+7 = 2+7 = 9Side AD is opposite BC, so AD = BC = 9
Seven people are going to share an 84-ounce bottle of soda. How many ounces will each person get to drink?
Answer:
12
Step-by-step explanation:
84/7 = 12
Each person will get 12 ounces to drink.
1,945x46 multiplying multiplication
Answer:
89,470
Step-by-step explanation:
Rules for basic algebra needed
BRAINLIEST TO WHOEVER GET IT RIGHT
What are the solutions to the system of equations graphed below?
in picture below:)
Answer:
hey there!
Step-by-step explanation:
your answer should be the first one (0,4 and 2,0)
hope its help yayayayayou
(WILL GIVE BRAINLIEST TO CORRECT ANSWER)
Below is a table showing the maximum distance over time that an Adélie penguin can walk.
The distance that an emperor penguin can walk over a period of time is represented by the equation d=1.7t
A. Which penguin species has a faster maximum walking speed? Show your work.
B. Approximately how long would it take the fastest penguin from both species to walk 3 miles? Show your work
Answer:The penguin will walk 75.15 feet in 45 seconds.
It will take the penguin 26.95 seconds to walk 45 feet.
Through cross multiplication we can determine the unknown quantity we need
Step-by-step explanation:
6. A number solid with faces labeled 1 through 16 is rolled. What is the probability that the number 16 will appear facing up when the solid is rolled? Record the answer as a simplified fraction.
Answer:
1/16 chance that it will land on 16 because there are 16 faces
Answer:
1/16.
Step-by-step explanation:
That will be 1 chance in 16.
Write the quadratic equation in standard form: -7x+11= −2x^2
Answer:
[tex]x=\frac{7-\sqrt{137} }{4} =-1.76[/tex]
Step-by-step explanation:
Helpppp plssss!!!!!!!!!
Answer:
according to my calculations syour mada
2
1) You have a 24 foot round swimming pool
that is four feet deep. What is the surface
area of the sides and bottom of the pool?
Round to the nearest tenth of a foot.
Answer:
The surface area is 301.4ft
Step-by-step explanation:
To find the surface area of a circular pool, you multiply the diameter and depth and then multiply by 3.14.
24*4 = 96
96*3.14 = 301.44
Help me please, (b)
Answer:Aob is in the center
Step-by-step explanation:You see x and y are parallel across from each other, and u v are the same. A O B is recorded in the center.
Which medical professional or service treats severe medical needs?
emergency room
pregnancy center
medical specialist
general practitioner
Answer:
emergency room
Step-by-step explanation:
well the most severe medical cases come from immediate accidents and for that you go to the emergency room
(correct me if I'm wrong)
Emergency room treats severe medical needs.
Given,
Treatment of severe medical needs.
Now,
Emergency room treats the person having critical illness which requires instant medication .
For example :
If a person met with an accident then the medication must be provided instantly so that the person can survive . Instant medication will be provided under emergency rooms .
Therefore option A is correct .
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