Answer:
(D) 3, 3, 6
Step-by-step explanation:
The triangle inequality says the sum of the shortest two legs must be longer than the longest. In the case of {3, 3, 6}, the sum is exactly equal to the longest, so the "triangle" will look like a line segment and have zero height and zero area,
Some authors describing the triangle inequality find that to be an acceptable condition. Apparently the author of this question does not.
Which of the following expressions is true?
A. 8^3 • 8^2 < 8^4
B. 4^4 • 4^4 = 4^16
C. 2^2 • 2^6 < 2^8
D 3^3 • 3^3 > 3^5
Answer:
The answer is D.
Step-by-step explanation:
A. 8^3 x 8^2 < 8^4
8^3 = 512 8^2 = 64 512 x 64 = 32768
8^4 = 4096 32,768 < 4096 is NOT true
B. 4^4 x 4^4 = 4^16
4^4 = 256 256 x 256 = 65536
4^16 = 4294967296
256 = 4294967296 is NOT true
C. 2^2 • 2^6 < 2^8
2^2 = 4 2^6 = 64 64*4 = 256
2^8 = 256 256 < 256 is NOT true
D. 3^3 • 3^3 > 3^5
3^3 = 27 27*27 = 729
3^5 = 243
729 > 243 IS true
The ground temperature at an airport is 12 °C. The temperature decreases by 5.4 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?
Decrease in the temperature: 5.4×5=27°C
Final temperature: 12-27=-15°C
HELPP QUICKLYY!! What is the length of each leg of the triangle below?
Answer:
The correct answer is option C. 16√2
Step-by-step explanation:
Points to remember
If the angles of a right angled triangle are 45°, 45° and 90° then the sides of the triangles are in the ratio 1 : 1: √2
To find the length of each leg of triangle
From the figure we can see that a right angled triangle with angles 45°, 45°, 90° and hypotenuse = 32
Therefore the sides are in the ratio 1 : 1 :√2
Leg1 : Leg2 : hypotenuse = 1 : 1 : √2 = x : x : 32
Therefore x = 32/√2 = 16√2
So the correct answer is option C. 16√2
Jesse is baking several cakes for a bake sale. A pound bag of flour is enough to make 4 cakes. How much flour is needed to make 1 cake?
Answer:
4 ounces of flour will make 1 cake.
Step-by-step explanation:
16 ounces = 1 pound
16 ounces divided by 4 cakes = 4 ounces for 1 cake
Jesse needs ⅔ pound or 0.125 pounds (2 ounces) of flour to make one cake, calculated by dividing the half-pound bag of flour by the number of cakes it can produce (4 cakes).
Explanation:Jesse is baking cakes for a bake sale and needs to know how much flour is needed for one cake.
From the information provided, we know that a ½ pound bag of flour is enough to make 4 cakes.
To determine how much flour is needed for one cake, we use a simple division.
To find the amount of flour per cake, we divide the total amount of flour by the number of cakes that can be made from it. That gives us:
½ pound flour ÷ 4 cakes = ⅔ pound flour per cake.
Therefore, Jesse needs ⅔ pound (which is 0.125 pounds or 2 ounces) of flour to make one cake.
Determine the area of the composite figure to the nearest whole number
Check the picture below.
so, let's notice, is really just a 2x20 rectangle with a quarter of a semicircle with a radius of 11.
[tex]\bf \stackrel{\textit{area of a circle}}{A=\pi r^2}~~ \implies A=\pi 11^2\implies A=121\pi \implies \stackrel{\textit{one quarter of that}}{\boxed{A=\cfrac{121\pi }{4}}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\underline{\textit{area of the figure}}}{\stackrel{\textit{rectangle's area}}{(2\cdot 20)}+\stackrel{\textit{circle's quart's area}}{\cfrac{121\pi }{4}}\qquad \approx \qquad 135.03\implies \stackrel{\textit{rounded up}}{135}}[/tex]
Answer:
i think its A
Step-by-step explanation:
In order to go on the field trip, you must accrue 75 positive behaviors points. You found out that you have 45% of the points necessary to go. How many points do you have?
Answer:
Step-by-step explanation:
I think 33 : this i got by multiplying 75 by 45%
or 166: i got this by dividing 75 by 45%
The total points for 75 positive behaviors points are 33.45.
We have given that,
n order to go on the field trip, you must accrue 75 positive behavior points. You found out that you have 45% of the points necessary to go.
We have to determine the points.
What are the positive behavior points?Positive behavior strategies are evidence-based, proactive approaches to changing challenging student behavior.
We have 75 are the positive points so we have,
[tex]75\times 0.45=33.75[/tex]
Therefore we get the total points are 33.45.
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You are packaging expansion packs for the game of checkers. The table below lists the number
of each part needed per expansion pack, as well as the number of each part that you have
available.
_
- "Let's see how many packs of each item we can make and what's left over. That's the remainder.
287 = 6(287/6) = 6(47) + 5
143 = 3(143/3) = 3(47) + 2
341 = 7(341/7) = 7(48) + 5
So on that 48th pack we have 5 people markers so need 1 more and 2 dice, so we need one more. We have enough teleport markers for the 48th pack.
Choice A."
Petra jogs 2 miles in 24 minutes. At this rate, how long would it take her to jog 13 miles?
To find out how long it would take Petra to jog 13 miles at the same rate, we can set up a proportion and solve for the unknown variable. The answer is approximately 156 minutes.
Explanation:To find out how long it would take Petra to jog 13 miles at the same rate, we can set up a proportion using the given information. Since Petra jogs 2 miles in 24 minutes, the rate at which she jogs is 2 miles / 24 minutes. We can use this rate to find out the time it would take her to jog 13 miles.
Set up the proportion: 2 miles / 24 minutes = 13 miles / x minutes. Cross multiply and solve for x to find the answer.
2 miles / 24 minutes = 13 miles / x minutes
2x = 24 × 13
2x = 312
x = 156
So, it would take Petra approximately 156 minutes to jog 13 miles at the same rate.
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Which ordered pair is a solution of this equation? -7x - 5y = 42
(-5,0)
(0,-5)
(0,-6)
(-6,0)
(-6,0) is the ordered pair for this solution, you might want to double check though
-6,0 is the answer just substitute the numbers and boom
I need to know the coefficient or the a squared term, the coefficient of the ab term, and the coefficient of the b term.
[tex]\bf \begin{array}{llllll} -2a(a+b-5)&+&3(-5a+2b)&+&b(6a+b-8)\\\\ -2a^2-2ab+10a&+&-15a+6b&+&6ab+b^2-8b \end{array} \\\\[-0.35em] ~\dotfill\\\\ (-2a^2-2ab+10a)+(-15a+6b)+(6ab+b^2-8b) \\\\\\ -2a^2-2ab+10a-15a+6b+6ab+b^2-8b \\\\\\ -2a^2-2ab+6ab+10a-15a+6b-8b+b^2 \\\\\\ \boxed{-2} a^2\boxed{+4} ab-5a\boxed{-2} b+b^2[/tex]
Mike wants to paint one wall of his room.
The wall measures 12 feet by 9 feet. On the
wall is one square window that measures 4
feet on each side. Which of the following best
describes the number of square feet Mike will
paint?
Answer:
92 squre feeeet you willllll paintttttttttttttttttttttt
Step-by-step explanation:
Find the number a such that the line x = a divides the region bounded by the curves x = y^2 − 1 and the y-axis into 2 regions with equal area. Give your answer correct to 3 decimal places.
[tex]x=y^2-1\implies y=\pm\sqrt{x+1}[/tex]
We want to find [tex]a[/tex] such that
[tex]\displaystyle\int_{-1}^a2\sqrt{x+1}\,\mathrm dx=\int_a^02\sqrt{x+1}\,\mathrm dx[/tex]
On the left,
[tex]\displaystyle\int_{-1}^a2\sqrt{x+1}\,\mathrm dx=4(x+1)^{3/2}\bigg|_{x=-1}^{x=a}=4(a+1)^{3/2}[/tex]
and on the right,
[tex]\displaystyle\int_a^02\sqrt{x+1}\,\mathrm dx=4(x+1)^{3/2}\bigg|_{x=a}^{x=0}=4-4(a+1)^{3/2}[/tex]
For the areas to be equal, we need
[tex]4(a+1)^{3/2}=4-4(a+1)^{3/2}\implies(a+1)^{3/2}=\dfrac12[/tex]
[tex]\implies a=\dfrac1{2^{2/3}}-1\approx-0.370[/tex]
To find the value of 'a' for which the line x = a splits the region into two equal areas, integrate the curve starting from -sqrt(a+1) to sqrt(a+1) and set it equal to the area of the region between the curve and the y-axis.
Explanation:This question pertains to the concept of finding the area under curves in Calculus. To solve this problem, we need to set up an equation that represents the given situation and solve for 'a'. The line 'x = a' splits the region into two equal areas, meaning the area on the right of the line is equal to the area on the left of the line.
Starting from the x-axis, the curve 'x = y^2 - 1' intersects the line at y = sqrt(a+1) and y = -sqrt(a+1). Thus, we want the integral from -sqrt(a+1) to sqrt(a+1) of the curve to be equal to the area of the region between the curve and the y-axis. Formulate and solve the intergral problem to get the desired value of 'a'.
Additionally, this problem might involve the use of numerical methods like the Simpson's rule or midpoint rule to get an accurate result.
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What is the difference? -6-(11)
Answer: [tex]=-17[/tex]
Step-by-step explanation:
The first thing you must remember is the mulplication of signs. You know that:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]
You can observe that the number inside the parentheses is positive (+) and the sign that is outside the parentheses is negative (-), therefore, when you multiply these signs you get a negative sign (-). Then you get:
[tex]-6-(11)=-6-11[/tex]
Now, you need to add these numbers. And the result obtained is:
[tex]=-17[/tex]
Answer:
It’s -17
Step-by-step explanation:
I just got it right in the quiz
Which of the following tables shows the correct steps to transform x2 + 8x + 15 = 0 into the form (x − p)2 = q? [p and q are integers] (5 points) Step 1 x2 + 8x + 15 − 2 = 0 − 2 Step 2 x2 + 8x + 13 = −2 Step 3 (x + 4)2 = −2 Step 1 x2 + 8x + 15 − 1 = 0 − 1 Step 2 x2 + 8x + 14 = −1 Step 3 (x + 4)2 = −1 Step 1 x2 + 8x + 15 + 2 = 0 + 2 Step 2 x2 + 8x + 17 = 2 Step 3 (x + 4)2 = 2 Step 1 x2 + 8x + 15 + 1 = 0 + 1 Step 2 x2 + 8x + 16 = 1 Step 3 (x + 4)2 = 1
The correct steps are:
start with
[tex]x^2+8x+15=0[/tex]
Add 1 to both sides:
[tex]x^2+8x+16=1[/tex]
The left hand side is a perfect square:
[tex](x+4)^2=1[/tex]
Answer:
Option D
Step-by-step explanation:
The given expression is x² + 8x + 15 = 0
We have to solve it further to transform into the form ( x - p )² = q
x² + 8x + 15 = 0
[ x² + 8x + 15 ] + 1 = 0 + 1
x² + 8x + 16 = 1
( x + 4 )² = 1
Option D is the answer.
The area of the triangle is 3ft2. The height of the triangle is 2ft and the base of the triangle is ft
Answer: 3
Step-by-step explanation: 1/2 times, the height which is 3 and times 2 equals the base which is 3.
estimations please!! asap (22 points)
Answer:
1) 15/32
2) 2
Step-by-step explanation:
1) 3 /8 / 5/4
= 3 · 5 /8 · 4
= 15 /32
2) 4/5 * 2 1/2
First solve --> 2 1/2 = 2 · 2 + 1 /2
= 5 /2
Then solve: 4 /5 * 5 /2
= 4 · 5 /5 · 2
= 20 /10
= 2 · 10 /1 · 10
= 2
Find the average of these numbers to the nearest whole number. 516,497,501,528,476
Answer:
504
Step-by-step explanation:
To find the average of a series of numbers one must add them all then divide by the amount of numbers.
So....
516+497+501+528+476= 2,518
then...
2,518/5 = 503.6
6> 5 so you would round UP
ROUNDED : 504
Any good mathematicians out there that would help me understand this concept?
Please please...explain
The correct answer is (D) because 3 multiple 1/3, the 3 go with 3 and we get the 1. And 9 multiple 1/3, the 9 go with 3 and we will go 3 multiple 1 and we will get 3.
In parallelogram DEFG, DH = x + 2 HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to scale.
Final answer:
The problem involves finding the values of x and y in a parallelogram, using given segment lengths. Without an additional equation, we can only express one variable in terms of the other, resulting in the equation 4 = 3x + 2y.
Explanation:
The question is asking us to find the values of x and y in a parallelogram DEFG, where we know the lengths of some segments inside the parallelogram, specifically DH, HF, GH, and HE. As properties of a parallelogram dictate that opposite sides are equal in length, and segments DH and HF form one side, while segments GH and HE form the opposite side, we conclude that DH + HF must equal GH + HE.
Setting up the equation (x + 2) + (2y) = (4x - 3) + (4y + 1), we combine like terms, which gives us x + 2y + 2 = 4x + 4y - 2. Upon further simplification, by subtracting x and 2y from both sides, we get 4 = 3x + 2y. This equation allows us to express one variable in terms of the other.
Finding a specific value for x and y would require additional information, such as another equation involving x and y to solve this system of equations. Without this, we are limited to only expressing one variable in terms of the other.
Which of the following statements is true?
Answer: OPTION D
Step-by-step explanation:
We know that the function [tex]y=log(x)[/tex] is not defined for values of x less or equal than zero, therefore its domain is [tex](x|x>0)[/tex] and the range is all real numbers.
In this case we have the function [tex]y=log(x-2)+1[/tex], then [tex]x-2[/tex] must be greater than zero.
Then:
[tex]x-2>0\\\\x>2[/tex]
Therefore, the domain of the function is:
[tex]x>2[/tex] or [tex](2, \infty)[/tex]
And the range is:
All real numbers.
Answer:
the answer is D the other guy was right i just tried it.
Step-by-step explanation:
Help me answer this question please
Answer:
Step-by-step explanation:
f⁻¹(x) is the inverse of f(x).
y = 4x − 9. To find the inverse, switch x and y and solve for y.
x = 4y − 9
x + 9 = 4y
y = (x + 9) / 4
So the inverse function is:
f⁻¹(x) = (x + 9) / 4
ANSWER
[tex]{f}^{ - 1}(x) = \frac{x + 9}{4} [/tex]
EXPLANATION
The given function is
f(x)=4x-9
Let
y=4x-9
Interchange x and y.
x=4y-9
Add 9 to both sides,
x+9=4y
Divide both sides by 4
[tex] \frac{x + 9}{4} = y[/tex]
[tex]y = \frac{x + 9}{4} [/tex]
Therefore,
[tex] {f}^{ - 1}(x) = \frac{x + 9}{4} [/tex]
Divide the sum of 9/10 and 2/5 by the product of 11/6 and 5/9
Answer:
[tex]\bold{\dfrac{\,351\,}{275}}[/tex]
Step-by-step explanation:
[tex]\left(\dfrac9{10}+\dfrac25\right)\div\left(\dfrac{11}{6}\cdot\dfrac59\right)\ =\ \left(\dfrac9{10}+\dfrac4{10}\right)\div\dfrac{55}{54}=\\\\\\ =\ \dfrac{13}{10}\times\dfrac{54}{55}\ =\ \dfrac{13}{5}\times\dfrac{27}{55}\ =\ \dfrac{351}{275}[/tex]
What are the solutions for x when y is equal to 0 in the following quadratic
function?
y = x^2 - 13x
OA) x = 0
OB) x = 13
OC) x = 0 or x = 13
OD) x = 0 or x = -13
O E) no real solutions
Answer: Option C
Step-by-step explanation:
Given the quadratic equation [tex]y = x^2 - 13x[/tex], substitute [tex]y=0[/tex]:
[tex]0 = x^2 - 13x[/tex]
In this case, to find the solutions of the given quadratic equation, you must factor out the variable "x". Then:
[tex]0=x(x-13)[/tex]
Therefore, you get that the solutions of this equation are the following:
[tex]x=0\\\\\\x-13=0\\x=13[/tex]
Then, the answer is:
[tex]x = 0\ or\ x = 13[/tex]
This matches with the option C.
The following dot plot shows how many pets each customer owned before entering Jeremy's Pet Store today. Each dot represents one customer.
Based on this data, what is a reasonable estimate of the probability that the next customer to enter Jeremy's Pet Store has exactly 333 pets?
Choose the best answer.
Choose 1 answer:
Choose 1 answer:
Answer:
c
Step-by-step explanation:
Probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets is 0.23.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a dot plot shows how many pets each customer owned before entering Jeremy's Pet Store today.
Based on this data we need to find the reasonable estimate of the probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets.
The total number of customer enter Jeremy's Pet Store is 13.
Probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets= 3/13
=0.23
Hence, Probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets is 0.23.
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what is equivalent to (3+5i) - (7-2i)
Answer:
- 4 + 7i
Step-by-step explanation:
Solving (3+5i) - (7-2i)
= 3 + 5i - 7 + 2i
=3 - 7 + 5i + 2i
= - 4 + 7i
So, (3+5i) - (7-2i) is equivalent to - 4 + 7i
A $4,500 savings account earns $540 in interest. What is the percent of increase on the original value? Show work please
540:4500*100 =
(540*100):4500 =
54000:4500 = 12%
(a + 3)(a - 2) whats the answer
(a+3)(a-2)
a^2-2a+3a-6
a^2+a-6
Answer is a^2+a-6
You must FOIL (first, outside, inside, last)
First (The first number/variable of each parentheses must be multiplied together)
(a + 3)(a - 2)
[tex]a^{2}[/tex]
Outside (The outside number/variable of each parentheses must be multiplied together)
(a + 3)( a - 2)
-2a
Inside (The inside number/variable of each parentheses must be multiplied together)
(a + 3)(a - 2)
3a
Last (The last number/variable of each parentheses must be multiplied together)
(a + 3)( a - 2)
-6
Now add/subtract each FOIL answer according to its sign
[tex]a^{2}[/tex] - 2a + 3a - 6
Combine like terms
[tex]a^{2}[/tex] + a - 6
Hope this helped!
~Just a girl in love with Shawn Mendes
Which expression is equivalent to
Step-by-step explanation:
[tex]\log_{12}\left(\dfrac{\frac{1}{2}}{8w}\right)=\log_{12}\left(\dfrac{1}{16w}\right)\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\=\log_{12}(16w)^{-1}\qquad\text{use}\ \log_ab^n=n\log_ab\\\\=-1\log_{12}(16w)\qquad\text{use}\ \log_a(bc)=\log_ab+\log_ac\\\\=-\left(\log_{12}16+\log_{12}w\right)=-\log_{12}2^4-\log_{12}w\qquad\text{use}\ \log_ab^n=n\log_ab\\\\=-4\log_{12}2-\log_{12}w[/tex]
What is the relationship between Jack and praiseworthy
Answer:
Praiseworthy is a main character in Sid Fleischman's 'By the Great Horn Spoon!' Praiseworthy is an incredibly likable guy who is able to help his fellow travel partner - Jack - out of some pretty sticky situations.
Step-by-step explanation:
Praiseworthy is a main character in Sid Fleischman's 'By the Great Horn Spoon!' Praiseworthy is an incredibly likable guy who is able to help his fellow travel partner - Jack - out of some pretty sticky situations.
What is ( x + y + 2 )( y + 2 )?
Answer:
y²+4y+2x+xy+4
Answer:
xy+y^2+2x+4y+4
Step-by-step explanation:
simplify by multiplying variable in the first parentheses set with the ones in the second parentheses set:
(x+y+2)(y+2)
=(x)(y)+(x)(2)+(y)(y)+(y)(2)+(2)(y)+(2)(2)
=xy+2x+y^2+2y+2y+4
=xy+y^2+2x+4y+4
hope this helps!