Answer:
y = 15
x = 59
Step-by-step explanation:
move the -3 over to the -12 side. then divide by -1 on both sides getting:
{ y = 15
{ x- 3y = 14
change the y in the second equation to get:
x - 3 (15) = 14
x - 45 = 14
+45 = +45
x = 59
hope this helps!!
Factor. 49x16−16y64
Answer:
(7x8 + 4y32) • (7x8 - 4y32)
Step-by-step explanation:
P.1 (49 • (x16)) - 24y64
P.2 72x16 - 24y64
P.3 (7x8 +4y32) • (7x8 - 4y32)
‐15−8= ‐15 + __
= __
Enter numbers to evaluate ‐15−(‐8).
‐15−(‐8)= ‐15 + __
=__
Answer:
‐15−8= ‐15 + -8
‐15−(‐8)= ‐15 + 8
Step-by-step explanation:
‐15−8 = -23
‐15 + -8 = -23
‐15−(‐8) = -7
-15+8 = -7
Answer:
‐15−8= ‐15 + -8
‐15−(‐8)= ‐15 + 8
A. What is the name of the 3D shape?
b. What is the formula for total surface area for this shape?
c. What is the surface area of the figure?
Check the picture below.
so then, let's notice, this triangular prism is really just 2 triangles and 3 rectangles stacked up to each other at the edges.
so if we simply get the area of each of those figures, and sum them up, that'd be the area of the prism.
notice, the triangles have a base of 4 and a height/altitude of 3.
[tex]\bf \stackrel{\textit{2 triangles}}{2\left[ \cfrac{1}{2}(4)(3) \right]}~~+~~\stackrel{\textit{inclined rectangle}}{(5\cdot 11)}~~+~~\stackrel{\textit{ground rectangle}}{(4\cdot 11)}~~+~~\stackrel{\textit{standing rectangle}}{(3\cdot 11)} \\\\\\ 12+55+44+33\implies 67+77\implies 144[/tex]
Which number is a factor of 8?
4
7
5
6
Answer:
4Step-by-step explanation:
[tex]The\ factors\ of\ 8:\ 1,\ 2,\ 4,\ 8\\\\8=1\cdot8\\8=2\cdot\boxed4\\8=4\cdot2\\8=8\cdot1[/tex]
Part A: Explain how to determine the value of the vertical translation, d, for the graph of g(x). (2 points)
Part B: Explain how to determine the value of the vertical translation, d, for the graph of f(x) = 2sin(θ + 120°) + 6. (3 points)
Answer:
Part A: Up 9
Part B: Up 6
Step-by-step explanation:
Part A: The graph appears to be a cosine graph since it starts at a peak on the y-axis. Normally a cosine graph starts at (0,1). This graph begins at (0,10). It has been shifted up y a translation by 9.
Part B: Each trig equation has a basic structure f(x) = a sin (x+b) + k where:
a is the vertical stretchb is the horizontal shiftk is the vertical shiftA vertical translation is a vertical shift and is represented by the value in k added outside of the function. In the equation f(x) = 2sin(θ + 120°) + 6, k = 6. The vertical translation is 6.
The perimeter of a square is 76.4m calculate the length of its diagonal
Answer: About 27.01
Step-by-step explanation: The way to find the diagonal is to multiply one side of the square by the sq. rt. of 2. First, we had to find one side of the square, which would be 76.4 divided by 4, then multiply that by the square root of 2.
76.4 / 4 = 19.1
19.1 x sq. rt. of 2 = 27.0114790413, or about 27.01
HELP PLEASE 3 QUESTIONS (30 POINTS)
Answer:
1.) A
2.) B I Think
3.) B
Answer:
1. a / 2. c / 3. b
Step-by-step explanation:
How to solve logarithmic equations as such
[tex]\bf \textit{exponential form of a logarithm} \\\\ \log_a b=y \implies a^y= b\qquad\qquad a^y= b\implies \log_a b=y \\\\\\ \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} ~\hspace{7em} \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf \log_2(x-1)=\log_8(x^3-2x^2-2x+5) \\\\\\ \log_2(x-1)=\log_{2^3}(x^3-2x^2-2x+5) \\\\\\ \log_{2^3}(x^3-2x^2-2x+5)=\log_2(x-1) \\\\\\ \stackrel{\textit{writing this in exponential notation}}{(2^3)^{\log_2(x-1)}=x^3-2x^2-2x+5}\implies (2)^{3\log_2(x-1)}=x^3-2x^2-2x+5[/tex]
[tex]\bf (2)^{\log_2[(x-1)^3]}=x^3-2x^2-2x+5\implies \stackrel{\textit{using the cancellation rule}}{(x-1)^3=x^3-2x^2-2x+5} \\\\\\ \stackrel{\textit{expanding the left-side}}{x^3-3x^2+3x-1}=x^3-2x^2-2x+5\implies 0=x^2-5x+6 \\\\\\ 0=(x-3)(x-2)\implies x= \begin{cases} 3\\ 2 \end{cases}[/tex]
Add. Write your answer as a fraction in simplest form. 9/10 +(− 4/5 )
Step-by-step explanation:
9/10 + (-4/5)
1. Use the least common denominator (LCD): 10
9/10 + (-8/10)
2. Remove the parentheses:
9/10 - 8/10
3. Simplify:
= 1/10
Hope this Helped!!
~Shane
Between what two consecutive integers does .... lies?
Answer: third option
Step-by-step explanation:
To solve the exercise you must apply the proccedure shown below:
- Find the value of irrational number given in the problem (By definition, an irrational number cannot be written as a simple fraction, where the numerator and the denominators are integer.
- Then the value in decimal number is the following:
[tex]\sqrt{115}=10.72[/tex]
- The number 10.72 is located between the integer 10 and the integer 11.
Please help me with this math homework
Basically you have to find the graph that goes through the middle of the line or points to it.
I know you can do it! If you have any questions just reply.
During the first week of a summer camp 2 out of 3 campers were boys. During the second week 3 out of 5 were boys. There were a 15 total campers each week. During which week were there more boy campers. Explain
Step-by-step explanation:
2/3=10/15 (divide 15 by 3 to get 5, then multiply both numerator and denominator by 5 to set equivalent)
3/5=9/15
10/15 is greater than 9/15, so during the 1st week there were more boy campers
During the first week of a summer camp, there were more boy campers.
Explanation:To determine during which week there were more boy campers, we need to compare the fractions of boys in each week. In the first week, 2 out of 3 campers were boys, which can be written as a fraction as 2/3. In the second week, 3 out of 5 campers were boys, which can be written as a fraction as 3/5. To compare these fractions, we need to find a common denominator. In this case, the lowest common denominator is 15, which is the total number of campers each week. Multiplying the numerator and denominator of each fraction by 5 and 3 respectively, we get 10/15 for the first week and 9/15 for the second week. Therefore, during the first week, there were more boy campers.
Learn more about Comparing Fractions here:https://brainly.com/question/1878884
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The volume of a cube can be found using the equation V=S3, where V is the volume and Sis the measure of one side of the cube. Match the equation for how to solve for the side length of a cube to its description.
Answer:
s = ∛729 in³
Step-by-step explanation:
Since the volume is 729 in³, our equation can be plugged into:
729 = s³.
Isolate s by cube rooting each side: ∛729 = s.
Determine whether the table could represent a function that is linear, exponential, or neither. If the function is exponential or linear, find a function that passes through the points. If the function is neither exponential nor linear, type NONE.
x 1 2 3 4
f(x)70 40 10 -20
f(x)=
Answer:
Linear
y = -30x + 100
Step-by-step explanation:
The table has a set of inputs with matching outputs. The behavior of the outputs will determine the type of function. The outputs appear to descend at a constant subtraction rate of -30 each time.
70 - 30 = 40
40 - 30 = 10
10 - 30 = -20
etc.
A constant addition or subtraction rate is a slope. Since the function has a slope, this is a linear function.
To write the function you'll need a slope and a y-intercept. Recall, the y-intercept is where x = 0. This is not in the table but can be found by reversing the process by adding 30 + 70 = 100.
Substitute m = -30 and b = 100 into y = mx+b for the equation.
y = -30x + 100
Answer:
Step-by-step explanation:
the answer is f(x)= 100-30x
Find the surface area of a cylinder
Answer:
Surface area = 207.24 in²
Step-by-step explanation:
Remember to always convert the diameter into a radius.
D = 6 in (divide it by two to get the radius) R = 3 in
Radius = 3 in
Formula:
SA = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex]r²
Solution:
SA = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex]r²
SA = 2(3.14)(3)(8) + 2(3.14)(3)
SA = 2(3.14)(3)(8) + 2(3.14)(9)
SA = 150.72 + 56.52
SA = 207.24 in²
Please help find missing angle
Answer:
[tex]\frac{24}{7}=b[/tex]
Step-by-step explanation:
We are given a right angled triangle.
Hypotenuse = c = [tex]\frac{25}{7}[/tex]
Base = a = 1
Now we are supposed to find the perpendicular i.e. b
So, we will use Pythagoras Theorem :
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]c^2=b^2+a^2[/tex]
[tex](\frac{25}{7})^2=b^2+1^2[/tex]
[tex]\frac{625}{49}=b^2+1[/tex]
[tex]\sqrt{\frac{625}{49}-1}=b[/tex]
[tex]\frac{24}{7}=b[/tex]
Hence the missing length is [tex]\frac{24}{7}[/tex].
Type in all the digits of Pi
I have a picture. Type in all of them. Get 30 points.
Answer:
PI= 3.1415926535897932384624338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058
Pi is a Mathematics constant that represents the ratio of a circle's circumference to its diameter. Its decimal representation is approximately 3.14.
The value of Pi is a mathematical constant that represents the ratio of a circle's circumference to its diameter.
The decimal representation of Pi is approximately 3.14159265358979323846264338327.
However, it is important to note that Pi is an irrational number, which means its decimal representation goes on infinitely without repeating.
Learn more about Mathematics here:
https://brainly.com/question/27235369
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The probable question may be:
Type in all the digits of Pi
I have a picture. Type in all of them. Get 30 points.
A slice of PI
******************
****************
3.14159265358979
323846264338327
95028841971693
9937510582097
494459230781
64062862089
9862803482
534211706
79821480
8651328
230664
70938
4460
955
05
8
Need so much help with number 3
Answer:
Judy is 12 Years old.
Step-by-step explanation:
Add up all the ages and you get 43 years old. Subtract 55 by the 43 to get 12 meaning Judy is 12. Please mark brainliest.
Answer:
Judy's age is 12 years old
Step-by-step explanation:
to find the average you need to add all numbers up ans then divide by how many there are.
10 + 10 + 11 + 12 + 12 = 55/5 = 11
hope this helps
the inequality 6-2/3
16 over 3 is the answer u write the numerator above the denominator 6 over 1 minus 2 over 3 6 times 3 over 1 x3 minus 2 over 3 u get 18 minus 2 over 3 and subtract 18 and 2 u get 16 over 3
Answer:
x>9
Step-by-step explanation:
Simplify 2/3
(6 - (— • x)) - (x - 9) < 0
3
given 8y — 6x =8 :
A) transform the equation into slope-intercept form.
b) find the slope and y-intercept of the line.
c) what is the slope of a line parallel to this line?
d) what is the slope of a line perpendicular to this line ?
e) find the equation, in point-slope form, of the line that is perpendicular to this line and passes through the point (0,2).
Answer:
Step-by-step explanation:
A: slope-intercept form: Solve 8y — 6x =8 for y, as follows: 8y = 6x + 8, so that y = (3/4)x + 1.
B: Slope: 3/4; y-intercept: (0, 1)
C: Any line parallel to this line has the same slope, namely, 3/4.
D: Any line perpendicular to this line has a slope that is the negative reciprocal of 3/4; that is, the slope of the perp. line is -4/3.
A quadrilateral has angle measures of 102°, 84°, and 77°. What is the measure of the fourth angle?
Answer:
Measure of the 4th angle = 360-(102+84+77)
= 360-263
= 97°
Hope this helps!
can someone find the volume of this pyramid?
Check the picture below.
now, let's notice the triangle on the base.... is an isosceles, two sides are twins, and therefore, the two angles they make out are also twins, so, if the central angle is 100°, the other angles are each 80°/2, namely 40°, therefore, using the law of sines,
[tex]\bf \textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{sin(100^o)}{2.5}=\cfrac{sin(40^o)}{r}\implies r\cdot sin(100^o)=2.5\cdot sin(40^o) \\\\\\ r=\cfrac{2.5\cdot sin(40^o)}{sin(100^o)}\implies \boxed{r\approx 1.63}[/tex]
now, let's notice the shaded triangle, namely the one with 35°, is a right-triangle, namely one angle is 35°, another 90°, so the last one must be 55°.
the opposite side to the 35° is "r", which we know is about 1.63, so again, let's use the law of sines to find the side "h",
[tex]\bf \cfrac{r}{sin(35^o)}=\cfrac{h}{sin(55^o)}\implies r\cdot sin(55^o)=h\cdot sin(35^o) \\\\\\ \cfrac{r\cdot sin(55^o)}{sin(35^o)}=h\implies \cfrac{1.63\cdot sin(55^o)}{sin(35^o)}\approx h\implies \boxed{2.33\approx h} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a circular cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r\approx 1.63\\ h\approx 2.33 \end{cases}\implies V\approx \cfrac{\pi (1.63)^2(2.33)}{3}\implies \blacktriangleright V\approx 6.48 \blacktriangleleft[/tex]
make sure your calculator is in Degree mode.
How many oatmeal cookies are @ the party?
Answer:
15 oatmeal
Step-by-step explanation:
Add by 5 for each one
Answer: 15 Oatmeal Cookies
Step-by-step explanation: 8 Boxes 3 Boxes For Oatmeal Rasian 3x5 = 15
he product of ten and a number is greater than the difference of four times the number and two.
Answer:
You can use 1 as a solution.
Step-by-step explanation:
10 + 1 = 11
1 * 4 = 4
4 - 2 = 2
11 > 2
Subscriptions to a popular fashion magazine have gone down by a consistent percentage each year and can be modeled by the function y = 42,000(0.96)t. What does the value 42,000 represent in the function? A) The decay factor of subscribers. B) The initial number of subscribers. C) The number of time intervals. D) The number of subscribers after t years. Submit
Answer:
B) The initial number of subscribers.
Step-by-step explanation:
The given equation is:
[tex]y=42000(0.96)^{t}[/tex]
[tex]y=42000(1-0.04)^{t}[/tex]
We can compare this equation with the general model of exponential growth/decay:
[tex]y=A(1-r)^{t}[/tex]
Here A represents the initial amount, r represents the rate of decay and t represents the time in years.
Comparing both equations, we can see that 42,000 represents the Initial Quantity which in this case is the initial number of subscribers.
So option B gives us the correct answer.
Answer:
B) the initial number of subscribers
Step-by-step explanation:
Plz help me with it
Answer: [tex]\bold{2\sqrt[3]{15} }[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{10} \cdot \sqrt[3]{12} =\sqrt[3]{2\cdot 5\cdot 2\cdot 2\cdot 3} =2\sqrt[3]{3\cdot 5} =\boxed{2\sqrt[3]{15}}[/tex]
A circus had 40 lions. If the ratio of lions to monkeys was 4:9, how many lions and monkeys are there?
Answer:
90 monkeys
Step-by-step explanation:
If the circus has 40 lions (4*10) = 40
Lions would also multiply by 10 (9*10) = 90
Both sides must be multiplied by the same number to be consistent.
need help with number 29
Answer:
9c
Step-by-step explanation:
Collecting like terms
We can do 8-6 which is 2
and then 2 add 7 which is 9
Add c
PLEASE HELP ASAP
Evaluate the expression. 8(12 + 4)0 − 4(8 + 3)0
A) 0
B) 1
C) 2
D) 4
A I think cuz both are multiplied by 0
What is the solution to the proportion 8/x = 4/5
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ Since 8/x is two times the size of 4/5, you multiply by 2
4/5=8/10
X=10
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
DOGE