Answer:
D
Step-by-step explanation:
(a+4)(a-2)=a^2+2a-8
a*a=a^2
a*(-2)=-2a
a*4=4a
4*(-2)=-8
a^2-2a+4a-8=a^2+2a-8
Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14
Answer:
[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
Step-by-step explanation:
The equation of the curve is
[tex]Y = sin^{-1}(7x)[/tex]
To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get
[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]
This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is [tex]x = \sqrt{\frac{1}{7} }[/tex]
Then slope would accordingly be
[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]
= ∞
For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]
Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
The box plot below represents some data set. What percentage of the data values are less than 46?
Answer: 25%
Step-by-step explanation:
Write the following in scientific notation:
1. 5,400,000,000.=
Answer:
5.4x10^9
Step-by-step explanation:
what is the area for a radius of 8 mm
Answer:
A= 201.06
Step-by-step explanation:
A = pi r^2
A = pi x 8 x r^2 = 201.06
Some steps to rewrite the expression x3 − 16x + x2 − 16 as a product of three factors are shown below:
Step 1: x3 − 16x + x2 − 16
Step 2: x3 + x2 − 16x − 16
Step 3: x2(x + 1) − 16(x + 1)
Which of the following best shows the next two steps to rewrite the expression?
Step 4: (x2 + 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)
Step 4: (x2 + 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)
Answer:
third one
Step-by-step explanation:
the third one should be the answer
step 4 came out becoz of taking the common factor(x+1) and combining x2 and (-16)
Step 5 came out becoz of the theory of (a^2-b^2) = (a+b)(a-b)
ps 16 here is equal to 4^2
Help me (giving brainliest)
Consider a sphere with a volume of 36,000 π cubic centimeters.
Find the radius of the sphere. Be sure to use the correct unit in your answer.
Answer:
30 cm
Step-by-step explanation:
[tex]Vol. of a sphere (4/3) \pi r^3=36000 \pi \\r^3=36000*3/4=27000\\r=30 cm\\[/tex]
Qadaria is planting a flower garden in the shape of a right triangle in the back corner of her yard. The two sides shown are 7 feet and 8 feet. She would like to put a small fence around the garden, what is the approximate length, in feet, of the fence?
Answer:
first find the length of the hypotenuse,
a²+b²=c²
7²+8²=113
√113=10.63
perimeter=sum of all sides
10.63+7+8
=25.63
Find the measure of angle 6.
Answer:
124 degree
Step-by-step explanation:
Since 9y + 7 and 4y+4 are supplementary,
9y + 7 + 4y + 4 = 180
13y + 11 = 180
13y = 180 - 11 = 169
y = 169/13
y = 13
Therefore, 9y + 7 = 9*13 + 7 = 124
4y + 4 = 4*13 + 4 = 56
Since Angle 6 and angle 9y + 7 are vertically opposite angles, they are equal.
angle 6 = 9y + 7
Angle 6 = 124
Hope u understand.
Please mark as the brainliest
Thank You
Ricardo wants to install two security cameras at point A so the parking lot from side AE to side AB of the building can be monitored. Can he use two cameras, both with a field of view of 110 degrees, installed at point A? Explain. If not, what is the minimum field of view that each camera should have?
Select the correct choice below, and fill in any answer box(es) within your choice.
(Type an integer or a decimal.)
A. No. The full field of view at point A is ____ . Each camera must have a field of view of at least ____
B. Yes. The full field of view at point A is _____
Answer:
b yes the full field of veiw sta point a is
Please help!
A rectangular tabletop has an area of.......
[tex]t^2+2t-99[/tex]
What are the possible dimensions of the tabletop? Use factoring.
The order doesn't matter, so you could say "t+11 and t-9" to mean the same thing.
=======================================================
Explanation:
Think of two numbers that multiply to -99, but also add to 2. In other words, find two factors of -99 which add to 2. We'll use trial and error.
Here are all the ways to multiply to -99 using integers only:
1 and -993 and -339 and -1111 and -933 and -399 and -1Add up each factor pair to see which sum is equal to 2.
1 + (-99) = -983 + (-33) = -309 + (-11) = -211 + (-9) = 2 is what we want33 + (-3) = 3099 + (-1) = 98We can see that 11 and -9 are the two numbers we're after, so therefore, t^2+2t-99 factors to (t-9)(t+11). The order doesn't matter with the factor multiplication.
As a more efficient alternative method, you can use the quadratic formula to solve t^2+2t-99 = 0 to end up with t = 9 and t = -11. That would lead to the two equations t-9 = 0 and t+11 = 0. Applying the zero product property then gets us (t-9)(t+11) = 0.
To help show that (t-9)(t+11) becomes t^2+2t-99, you can use the FOIL rule to expand that factorization out. This is one way to verify the answer.
Pls help asap i have to turn in in 30 minutes will give brainliest
Natalie is making 1 1/2 the brownie recipe.The recipe calls for 2 1/2 cups of sugar.How many cups of sugar should she use?Pls hurry or i get 0%
a red blood cell is 7x10^-6m in diameter. there are about 2x10^-13 red blood cells in a 125-lb person. if all of the red blood cells were lined up end to end, how long would the line be? write your answer in scientific notation
Answer:
14 × 10^(-19) m
Step-by-step explanation:
We are told that the diameter of the red blood cell is 7 × 10^(-6) m
And that number of red blood cells in the person is; 2 × 10^(-13) red blood cells
Since they are held end to end, the length of the line would be;
7 × 10^(-6) × 2 × 10^(-13) = 14 × 10^(-19) m
1. Label all the following values using the box and whisker plot below: (1 point each)
(a) Minimum:
(b) Median (Q2):
(c) lower quartile (Q1):
(d) upper quartile (Q3):
(e) maximum:
Answer:
minimum 56
Median (Q2) 65
Lower Quartile (Q1) 60
Upper Quattile (Q3) 67
Maximum 75
Step-by-step explanation:
If you notice, there are 5 distinguished points of data, and I used all the points for each thing you asked for. You just have to recognize the minimum and maximum are the largest and smallest of all the data, and there is clearly nothing outside of the range of 56-75. then Q1, Q2, and Q3 are on the box itself. The median, just like with numbers, will always be the middle line. It is not directly in the center because there are more people in the 65-75 value range than the 56-65 value range.
hope this helps!
Answer:
minimum 56
Median (Q2) 65
Lower Quartile (Q1) 60
Upper Quattile (Q3) 67
Maximum 75
Step-by-step explanation:
i go to k12
5. Solve. 2 Questions only 86 points
c) 9.3 = 3n
d) 2n - 2.5 = 5.5
Answer:
what that person said
Step-by-step explanation:
PLS HELP QUICKLY!!! Choose the definition for the function.
s-x+ 2 x <1 S-x+ 2 x > 1
a. y =
x + 1 x 1
c. y =
1 x + 1 x < 1
1-X + 2 XS 1
d. y =
{-x+ 2 x 2 1
x > 1
x + 1 x < 1
b. y = {x+1
{** 2 *si
Enter
Answer:b
Step-by-step explanation:
The requried function represented in the graph is given as y = [-x + 2, x<1] and y = {x + 1, x ≥ 1} Option A is correct.
What is the graph?The graph is a demonstration of curves that gives the relationship between the x and y-axis.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
The equation of the function shown in the graph is given as,
y = [-x + 2, x<1]
y = {x + 1, x ≥ 1}
Thus, the requried function represented in the graph is given as y = [-x + 2, x<1] and y = {x + 1, x ≥ 1} Option A is correct.
Learn more about graphs here:
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What is the answer to this x-7;x=23
Answer:
16
Step-by-step explanation:
if x=23, 23-7=16
need help fast on a timer
Answer:
D, [tex]10i\sqrt{2}[/tex]
Step-by-step explanation:
Separate -1, 2, and 100 from each other inside the radical. You can take out -1 as i, and 100 as 10. You now have 10i on the outside of the radical and 2 on the inside. Hope this helps.
Answer:
the answer is D.
!!!!!!!!!!!!!!!!!!!!!!!!
Negative 3y plus 5y plus 5x subtract 3y
Answer:
5x-y
Step-by-step explanation:
This is the last question from me
Answer:
[tex] {4}^{4} [/tex]Step-by-step explanation:
[tex] \frac{ {4}^{9} }{ {4}^{5} } [/tex][tex]{4}^{9 - 5} [/tex]
[tex] {4}^{4} [/tex]
Hope it is helpful....Side 1: 3x2 - 2x - 1
Side 2: 9x + 2x2 - 3
The perimeter of the triangle is 5x3 + 4x2 - x - 3.
Part B: What are the degree and classification of the expression obtained in Part A? (2 points)
Answer:
Part A - [tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex], Part B - Polynomial of second degree and formed by 3 monomials, Part C - [tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]
Step-by-step explanation:
Part A - The total length of the sides 1 and 2 is equal to the addition between respective polynomials:
[tex]l_{1} + l_{2} = (3\cdot x^{2} - 2\cdot x - 1) + (9\cdot x + 2\cdot x^{2} - 3)[/tex]
[tex]l_{1} + l_{2} = (3\cdot x^{2} + 2\cdot x^{2}) + (9\cdot x - 2\cdot x) +[(-1) + (-3)][/tex]
[tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex]
Part B - The degree is the highest exponent of the polynomial and the classification is related to the number of monomial that make part of the algebraic expression. In this case, we conclude that resulting expression is a polynomial of second degree and formed by 3 monomials.
Part C - The length of the third side of the triangle by subtracting the expression found in part A from the polynomial of the perimeter of the triangle:
[tex]l_{3} = p - l_{1} - l_{2}[/tex]
[tex]l_{3} = (5\cdot x^{3}+4\cdot x^{2}-x-3) -(5\cdot x^{2}+7\cdot x -4)[/tex]
[tex]l_{3} = 5\cdot x^{3} + [4+(-5)]\cdot x^{2}+[(-1)+(-7)]\cdot x +[(-3)+ 4][/tex]
[tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]
Answer:
Part A; Total length of side 1 and 2 = 5·x² + 7·x - 4
Part B; The degree of the polynomial is 2
The classification of the polynomial is a trinomial quadratic equation
Part C; 5·x³ - 4·x² - 6·x + 2
Step-by-step explanation:
The length of the sides of the rectangle are;
Side 1: 3·x² - 2·x - 1
Side 2: 9·x + 2·x² - 3
The perimeter of the rectangle is 5·x³ + 4·x² - x - 3
Part A
The given expression for the sides of the rectangle are;
Side 1: 3·x² - 2·x - 1
Side 2: 9·x + 2·x² - 3
The total length of side 1 and side 2 is given by add ing the given expressions as follows;
Total length of side 1 and 2 = 3·x² - 2·x - 1 + 9·x + 2·x² - 3 = 5·x² + 7·x - 4
Part B
The degree of the polynomial is 2 and the classification of the polynomial is a trinomial quadratic equation
Part C
Given that a rectangle rectangle consists of two pairs of equal opposite sides, we have;
The length of the third side = The perimeter - (2 × The length of side 1 + The length of side 2)
The length of the third side = 5·x³ + 4·x² - x - 3 - (2 × (3·x² - 2·x - 1) + 9·x + 2·x² - 3)
The length of the third side = 5·x³ + 4·x² - x - 3 - (8·x² + 5·x - 5)
The length of the third side = 5·x³ - 4·x² - 6·x + 2
Solve each by elimination
4x - 9y = 61
10x + 3y = 25
Answer:
(4,-5)
Step-by-step explanation:
Hi there!
The problem asks us to solve by elimination, where we will add the two equations together to clear one variable, solve for the other variable, and then substitute the value of the other variable to find the value of the first variable
here's the system:
4x-9y=61
10x+3y=25
we'll clear y to start
multiply the second equation by 3
3(10x+3y)=3(25)
30x+9y=75
4x-9y=61
now add the equations together (the 9y's clear because one is positive and another is negative)
34x=136
divide by 34
x=4
the value of x is 4
now to find y:
substitute the value of x into either one of the equations to solve for y
if we were to do the first equation for example:
substitute x as 4 into the equation
4(4)-9y=61
multiply
16-9y=61
subtract
-9y=45
divide
y=-5
so the answer is x=4, y=-5. If you need it as a point, it's (4,-5)
Hope this helps! :D
If the area of a triangle is 15 cm squared, and the base is 2 cm, then what is the height?
Please answer asap.
Answer:
15
Step-by-step explanation:
To find the area of an triangle use the formula BH(1/2) in this case
The base is 2 so the height must be 15 because 2 times 15 is 30 divided by 2 is 15
Tell me if I'm wrong if not
Hope this helped :]
The height of the triangle is 15 centimeters.
Given the following data:
Area of a triangle = 15 cm squaredBase of a triangle = 2 cmTo find the height of the triangle:
Mathematically, the area of a triangle is given by the formula;
[tex]Area \;of\; a \;triangle = \frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]
Substituting the values into the equation, we have;
[tex]15 = \frac{1}{2}[/tex] × [tex]2[/tex] × [tex]height[/tex]
Height = 15 cm
Therefore, the height of the triangle is 15 centimeters.
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4. Over what interval is the function shown in the
table decreasing?
Answer:
The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.
Step-by-step explanation:
13. Based on the pattern, what are the next two terms of the sequence?
2, 7, 12, 17,...
A. 85, 425
B. 22, 425
C. 22, 27
D. 27, 32
Answer:
C. 22, 27
Step-by-step explanation:
Its adding +5
Answer:
The correct Answer is the letter C.
Step-by-step explanation:
The sequence shows adding 5 to the first number and continue to the next answer.
2 + 5 = 7
7 + 5 = 12
12 + 5 = 17
the next two terms are 22 and 27
17 + 5 = 22
22 + 5 = 27
HOPE IT HELPS
(FROM CROSS)
pls pls help me pls
Patricia is testing some mineral properties to help her identify each mineral. For one test, she scrapes a mineral on a special plate to observe the color left behind.
For which of the following properties of minerals is she MOST LIKELY using this test?
Group of answer choices
cleavage
hardness
luster
streak
Keesha is conducting several tests on minerals to help identify them. She uses a small hammer to break the mineral. Which property of the mineral might Keesha be testing?
Group of answer choices
cleavage
texture
luster
streak
Haley tests the streak of two mineral samples using a streak plate. Both minerals leave a pale yellow streak. Which of the following might Haley conclude about the two mineral samples?
Group of answer choices
They both have dull luster.
They are very soft minerals.
They could be the same mineral.
They are both very hard.
The students in Mr. Leone’s class are studying rocks. The students tell Mr. Leone that several of their rocks are sedimentary. Which of the following could the students use as evidence for their thinking?
Group of answer choices
The rocks are grainy.
The rocks contain fossils.
The rocks are heavy.
The rocks have large crystals.
Answer: Hope This Helps!
Step-by-step explanation:
1: Streak: Streak is a word referring to the color of the streak that a rock makes when it is scraped against the unglazed side of a white ceramic tile (or, the unglazed bottom of a white coffee cup or toilet tank cover).
2: Luster: The luster of a mineral is best observed on a surface that is free of moisture, dirt, tarnish, and abrasion. Geologists in the field usually carry a rock hammer to break rocks so that their true luster and color can be observed.
3: They could both be the same mineral: The minerals pyrite and gold are always metallic yellow in color and streak (although they differ in other characteristics such as hardness).
4: The rocks contain fossils: Sedimentary rocks are most likely to contain fossils. Fossils are formed when the bodies or remnants of living organisms (plants and animals) are covered and are thus protected from predators or microbial decay. And thats exactly what a sedimentary rock is.
6/9 - 12/16 PLEASE SOLVE I NEED IT ASAP PLSSSSSSS
Answer:
just subtract 6-12 =?
and then 9-16=?
Step-by-step explanation:
=6/7
Answer:
-1/12
Step-by-step explanation:
6/9 - 12/16
divide to the simplest
2/3 - 3/4
find the LCM = 12
therefore,
8 - 9 all over 12
-1/12
A meteorologist in a city recorded the type of weather for each day last year. The table shows the results.
Answer:
C
Step-by-step explanation:
93/35= 2.657
100/2.657= 37.636
round up
The probability that Dan buys a sandwich is 0.2. The probability that Dan gets the bus is 0.8. Assuming the events are independent, what is the probability that Dan buys a sandwich and gets the bus?
The probability that Dan buys a sandwich and gets the bus will be 0.16.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The probability that Dan buys a sandwich is 0.2.
The probability that Dan gets the bus is 0.8.
Assuming the events are independent.
Then the probability that Dan buys a sandwich and gets the bus will be
P = 0.2 × 0.8
P = 0.16
More about the probability link is given below.
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find the value of
indices
Answer:
8/27
Step-by-step explanation: