Answer:
(x, y) = (18 1/3, 7 1/2)perimeter = 192area = 2108Step-by-step explanation:
a) no angles are described or shown
__
b) Opposite sides are the same length, so we have ...
3x -21 = 34
3x = 55 . . . . . . . add 21
x = 55/3 = 18 1/3 . . . . . divide by 3
and
4y +32 = 62
4y = 30 . . . . . . . . subtract 32
y = 15/2 = 7 1/2 . . . . divide by 4
__
c) The perimeter is the sum of the side lengths, so is ...
P = 2(L+W) = 2(62 +34) = 192 . . . units
The area is the product of adjacent side lengths, so is ...
A = LW = 62·34 = 2108 . . . square units
chords ac and bd intercept at e if ae=6 ec=12 and dc=18 how long is be
Option A:
The length of BE is 4.
Solution:
Given data:
AE = 6, EC = 12 and DE = 18
To find the length of BE:
If two chords intersect in a circle, then the product of lengths of one segment is equal to the product of lengths of other segment.
⇒ AE × EC = DE × BE
⇒ 6 × 12 = 18 × BE
⇒ 72 = 18 × BE
Divide by 18 on both sides of the equation.
⇒ 4 = BE
Switch the sides.
⇒ BE = 4
The length of BE is 4.
Option A is the correct answer.
Which of the following provides the best description of the function of genes?
A. Ridding individual cells of waste products.
B. Relaying information from the environment.
C. Producing energy through cellular respiration.
D. Controlling the production of specific proteins.
Answer: A
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Genes are our genetic makeup. The way we look, act, talk etc. The way they work is to make protiens for our DNA, as in produce "specific" proteins for ourself.
Expand the polynomial: (6x^2−11y^3)(−6x^2−11y^3)
on expanding polynomial (6x^2−11y^3)(−6x^2−11y^3) or [tex](6x^2-11y^3)(-6x^2-11y^3)[/tex] is [tex]121y^6 -36x^4[/tex] .
Step-by-step explanation:
We have , (6x^2−11y^3)(−6x^2−11y^3):
[tex](6x^2-11y^3)(-6x^2-11y^3)[/tex]
⇒ [tex](6x^2-11y^3)(-6x^2-11y^3)[/tex]
We know that :
[tex](a +b)(c+d) = (ac+ad+ad+bd)[/tex]
⇒ [tex](6x^2(-6x^2) - 11y^3(-6x^2) )+(6x^2(-11y^3) + (-11y^3)(-11y^3))[/tex]
⇒ [tex](-36x^4+66x^2y^3 -66x^2y^3 + 121y^6)[/tex]
⇒ [tex](-36x^4+ 121y^6)[/tex]
⇒ [tex]121y^6 -36x^4[/tex]
Therefore, on expanding polynomial (6x^2−11y^3)(−6x^2−11y^3) or [tex](6x^2-11y^3)(-6x^2-11y^3)[/tex] is [tex]121y^6 -36x^4[/tex] .
Find the missing side
Answer:
7
Step-by-step explanation:
1: 6 X _ = 18
2: 18/6 = 3
3: 21/3 = 7
So when you simplify 92/4 + 10 + 4/10 what do you get
Answer:
33 1/5
Step-by-step explanation:
Turn 92/4 into a mixed number to make this problem easier, which equals 23. So the equation will look like: 23 + 10 + 4/10. Now add them all together and you will get 23 + 10 + 4/10 = 33 4/10. Now simplify 33 4/10 and you will get 33 1/5
Answer:
Step-by-step explanation:
92 /4 +10+4/10
=23+10+ 4/10
=33+4/10
=33+2/5
=167/5
If twice a number, n, is 5 less than the number squared, which of the following equations could be used to properly solve for n?
Answer:
2n - 5 = n^2 (or n squared)
The equation that could be used to properly solve for n is [tex]n^2 - 2n - 5 = 0[/tex]
Mathematical equationsTo properly solve for the number, n, based on the given information, you can use the equation:
[tex]2n = n^2 - 5[/tex]
This equation represents the statement "Twice a number, n, is 5 less than the number squared." It sets the twice of the number (2n) equal to the number squared minus 5 (n^2 - 5).
To solve for n, you can rearrange the equation as follows:
[tex]n^2 - 2n - 5 = 0[/tex]
You can then solve this quadratic equation for n using methods such as factoring, completing the square, or the quadratic formula.
More on mathematical equations can be found here: https://brainly.com/question/29514785
#SPJ3
Cassie bought A new sweater at the mall. its original price was $60, but there was a 10% discount. how much did gossipy for this weather
Answer: $54
Step-by-step explanation:
Original price = $60
10% discount= 10/100 × 60
= 0.01 × 60 = $6
Amount cassie paid for the sweater is original price - discount
=$60 - 6
= $54
I hope this helps
Answer:
54$
Step-by-step explanation:
Which relation is not a function?
[tex]y = \pm\sqrt{x}[/tex]
==================================================
Explanation:
The plus/minus indicates we have two equations, and they are
[tex]y = \sqrt{x} \text{ or } y = -\sqrt{x}[/tex]
If x is say x = 4, then y is both y = 2 and y = -2 at the same time.
A function is where any x input leads to exactly one and only one y output (assuming the x value is in the domain). Graphing out choice D shows that it fails the vertical line test. This is where a vertical line crosses through more than one point on the graph. For the other answer choices, it is impossible to draw a vertical line through more than one point on the graph, which visually shows they are functions.
Amira has 3/4 of a bag of cat food. Her cat eats 1/10 of a bag per week. How many weeks will the food last.
Answer:15
Step-by-step explanation:
You have to divide the fractions so it 3/4÷1/10 then you can do keep change flip so the new equation is 3/4×10/1 or 3/4×10 then cross simply then get 3/2×5/1 to get 15/2 then use division to get 7 1/2
Amira's cat food will last 7.5 weeks, considering the cat eats 1/10 of a bag per week.
To find out how many weeks the cat food will last, you can divide the amount of food Amira has by the amount her cat eats per week.
First, let's calculate how much her cat eats per week:
1/10 of a bag per week.
Now, let's calculate how many weeks the food will last:
(3/4) / (1/10)
To divide fractions, you can multiply by the reciprocal of the divisor:
(3/4) * (10/1) = (3/4) * 10 = (3 * 10) / 4 = 30/4
Now, let's simplify 30/4:
30 divided by 4 equals 7 with a remainder of 2, so 30/4 = 7 + 2/4
Since 2/4 simplifies to 1/2, we get:
7 + 1/2 = 7.5
So, the cat food will last approximately 7.5 weeks.
–2(g − 13) + 15 = 1
how do you do this
Answer:
3bzycukznwvy knsheuje6d9qk3vhdurkgyvuf6dyguts bl es yvhuv
Answer:
g = 20
Step-by-step explanation:
−2 (g − 13) + 15 = 1
Step 1: Simplify both sides of the equation.
−2 (g−13) + 15 = 1
(−2) (g) + (−2) (−13) + 15 = 1 (Distribute)
−2g + 26 + 15 = 1
(−2g) + (26 + 15) = 1 (Combine Like Terms)
−2g + 41 = 1
−2g + 41 = 1
Step 2: Subtract 41 from both sides.
−2g + 41 − 41 = 1 − 41
−2g = −40
Step 3: Divide both sides by -2.
−2g/−2 = −40/−2
g = 20
What is the inverse of y=(x-6)^2 +2 ?
Answer:
Step-by-step explanation:
Answer:
x=√y+2 + 6
Step-by-step explanation:
y=(x-6)^2+2
Substrate 2 from both sides
y-2=(x-6)^2
Square root both sides
√y-6=x-6
Add 6 to both sides
√y-6 +6= x
Therefore,x=√y-6 + 6
Please answer ASAP!! Consistently wash your hands for 1 minute.
Each peach costs $0.56 and the equations used to solve that is [tex]4x= 2.24[/tex] where x is the cost of 1 peach.
Step-by-step explanation:
Step 1:
It is given that all the peaches weigh the same and that 4 peaches weigh 1 pound.
Assume that each peach costs x.
So the cost for 4 peaches is given by [tex]4x.[/tex]
Step 2:
The cost of 1 pound of peaches is given as $2.24.
1 pound of peaches[tex]=4x.[/tex]
So [tex]4x= 2.24, x = \frac{2.24}{4}.[/tex]
[tex]x = 0.56.[/tex]
So each peach costs $0.56.
a line passes through the points -3 -4 and 6 2 what is the Y intercept of this line? -3 -2 2 or 3
Answer:
y=-2
Step-by-step explanation:
Hello : let A(-3,-4) B(6,2)
the slope is : (YB - YA)/(XB -XA)
(2+4)/(6+3) = 6/9 = 2/3
an equation is the line is : y = ax+b a is a slope
y = (2/3)x+b
but this line passes by (6;2)
so : 2 = (2/3)(6)+b
b = -2
the equation is : y = (2/3)x-2
the the Y intercept of this line when : x= 0 so : y = (2/3)(0)-2
y=-2
H(y)=9/5 • 2y at y=-2
Answer:
[tex]H( - 2) = - 7 \frac{1}{5} [/tex]
Step-by-step explanation:
We want to evaluate the equation
[tex]H(y) = \frac{9}{5} \times 2y[/tex]
at y=-2
We just have to substitute to obtain;
[tex]H( - 2) = \frac{9}{5} \times 2 \times - 2[/tex]
We now multiply to get:
[tex]H( - 2) = \frac{9}{5} \times - 4[/tex]
This is the same as:
[tex]H( - 2) = \frac{9}{5} \times \frac{ - 4}{1} [/tex]
We multiply the numerators separately and denominators separately to get:
[tex]H( - 2) = \frac{9 \times - 4}{5 \times 1} [/tex]
[tex]H( - 2) = \frac{ - 36}{5} [/tex]
This implies that
[tex]H( - 2) = - 7 \frac{1}{5} [/tex]
what is the simple interest , help asap . thank you .
$ 850 , 4% , 6 months
Answer:
I = 2.04.
Step-by-step explanation:
From the question we are asked that what is the simple interest ,
$ 850 , 4% , 6 months
using the formula
simple interest = prt/100
I = interest
P= principal
R = rate.
our P = $850
R = 4% = 4/100 = 0.04
T = 6months
I = (850 × 0.04 × 6)/ 100
I = 204/100
I = 2.04.
What is the next number and why ? 1,3,11,35,99,_
Answer: 241
Step-by-step explanation:
This is a simple problem when using Pascal's triangle. First you look at 1 - 3, what is the difference in these 2 numbers? Its 2, then you look at 3 and 11, the difference is 8, then 11 and 35, the difference is 24. If you keep doing this you get; 2 8 24 64 142. Next you find out how these numbers are different. In the end you keep doing this until you get to the triangles point or the differences converge.
1 3 11 35 99 241
2 8 24 64 142
6 16 40 78
10 24 38
14 14
In the end we get 14 but there is no difference in the numbers so we cant go any farther. Hope this helps!
please help...its for Delta math. will mark brainliest and I will be ur friend♥
The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.
Step-by-step explanation:
Step 1:
To determine if the function represents growth or decay, we substitute values to x.
If the values increase with an increase of x, it represents growth.
If the values decrease with an increase of x, it represents decay.
Step 2:
If [tex]x= 10,[/tex] [tex]y = 1,300 (\frac{1}{2})^{\frac{10}{69} } = 1,300 (0.9044) = 1,175.72.[/tex]
If [tex]x=11,[/tex][tex]y = 1,300 (\frac{1}{2})^{\frac{11}{69} } = 1,300 (0.8953) = 1,163.89.[/tex]
So as x increases the value of y decreases, so it represents decay.
Step 3:
The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.
The percentage rate of change [tex]= \frac{y(x=11) - y(x=10)}{y(x=10)}.[/tex]
Substituting the values, we get
The percentage rate of change [tex]=\frac{1,175.72-1,163.89}{1,175.72}(100) = 1.00619\%[/tex].
As the values of y decrease with an increase in x, it is the percent decrease per unit.
Answer:
The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.
Step-by-step explanation:
Because your Beautiful
43
[tex]43 \div 72[/tex]
Answer:
0.5972222 (2 repeats forever)
Step-by-step explanation:
Hope that helps!
Answer:
0.5972
Step-by-step explanation:
43 ÷ 72 = 0.59722222222....
This (2) is a repeating decimal.
What is the solution to the inequality 4(x + 2) + 12 > 100
What is the value of X?
x = 32
x = 36
II 111111
x = 37
(x + 15)
(4x - 20°
x = 40
Answer:
Option D, x = 40
Step-by-step explanation:
Since x and (4x - 20) are supplementary, that means they add up to 180 degrees.
Step 1: Make an equation
x + (4x - 20) = 180
Step 2: Combine like terms
x + 4x - 20 = 180
5x - 20 = 180
Step 3: Add 20 to both sides
5x - 20 + 20 = 180 + 20
5x = 200
Step 4: Divide both sides by 5
5x / 5 = 200 / 5
x = 40
Answer: Option D, x = 40
In an office building, an elevator has a maximum carrying capacity of 2,700 pounds. Based on the average weight (180 pounds male) (150 pounds female) how many males and females can fit on the elevator.
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the number of males on the elevator
y ----> the number of females on the elevator
we know that
The inequality that represent this situation is
[tex]180x+150y\leq 2,700[/tex]
The solution of the inequality is the shaded area below the solid line [tex]180x+150y=2,700[/tex]
The slope of the solid line is negative
The y-intercept of the solid line is (0,18)
The x-intercept of the solid line is (15,0)
see the attached figure
The solution is the triangular shaded area
The maximum number of females is 18 (when the number of males is zero)
The maximum number of males is 15 (when the number of females is zero)
Trish made a few pans of Brownies to sell. Rachel also contributed 5 pans. Each pan of brownies was cut into 12 squares. If there were a total of 84 brownies, how many pans of brownies did Trish make.
Answer: 2 pans of brownies
Step-by-step explanation: ( i'm over 2 years late lol ) i drawed it because i'm lazy first draw rachels 5 pans ( just draw circles ) fill each circle up with 12 squares count them ( 60 ) now u need 24 more now on another piece of paper draw 2 circles and this is trish's side now fill each pan with 12 brownies trishs side has 24 brownies so....
|
trish | rachel
24 + 60 = 84
trish has 2 pans overall
miss Matthews received 2 3/8 pounds of chocolate for her birthday she then received 1 7/8 for Valentine’s Day how many pounds of chocolate did she receive
What is the estimate sum of 3 4/15
Answer:
a good estimate of the sum of 3 and 4/15 is 3 1/4.
Step-by-step explanation:
4/15 is close to 4/16, or 1/4, so a good estimate of the sum of 3 and 4/15 is
3 1/4.
Use the distributive property to solve : 20 (30 - 15) =
Answer:
the distribute property is basically taking the number outside the parenthesis and multiplying with the numbers inside each by each.
Step-by-step explanation:
20(30-15)
20×30= 600, and 20×15=300
finally you just use the new numbers and solve the solution which is 600-300. The answer is 300
Answer: 300
Step-by-step explanation: The distributive property tells us that when there's a number outside a set of parentheses, you can multiply it times each of the terms that are inside the set of parentheses and then add those products together.
So in this problem, we can multiply 20 (30) - 20 (15) which simplifies to 600 - 300 which is 300.
Identify the numerical coefficient.
5b^6
Answer:
5
Step-by-step explanation:
Tanya is making a scale model of a tower. The tower is 90m tall and 22.5m wide . Tanya’s model is 4.5 com wide. How tall is her model?
Answer:
20
Step-by-step explanation:
A daycare made $40 during their first month in business. They doubled the amount of money they earned each month. What is the total amount of money they earned after a year? $4096 $81,900 $163,800 $81,920
please give answer and way you found it im trying to learn but the way my teacher explained it doesn't make sense
Answer:
$81,920
Step-by-step explanation:
money made by january: $40
double that
money made by february: $80
double that
money made by march: $160
double that
money made by april: $320
double that
money made by may: $640
double that
money made by june: $1,280
double that
money made by july: $2,560
double that
money made by august: $5,120
double that
money made by september: $10,240
double that
money made by october: $20,480
double that
money made by november: $40,960
double that
money made by december: $81,920
the total money they made by the end of the year (december) was $81,920
Answer:
$163,800
Step-by-step explanation:
40, 80, 160, 320...
It's a geometric progression
With first term = 40
Common ratio = 80/40 = 2
After 1 year is 12 months
Find S12.
S12 = 40(2¹² - 1)/(2 -1)
= 163800
jenna brought a spool of ribbon that was 5 3/4 meters long. she used 3 1/4 meters of ribbon for a craft project. how many meters of ribbon does jenna have left?
Answer:
So the answer will be 2 2/4
Step-by-step explanation:
If you need me to explain more please tell me.Hope it helps.
Jenna is left with 2 1/2 meters of ribbon for future projects.
Jenna bought a spool of ribbon that was 5 3/4 meters long and used 3 1/4 meters of it for a craft project. To calculate how much ribbon she has left, we need to subtract the length of the ribbon used from the total length of the ribbon.
Convert mixed numbers into improper fractions: 5 3/4 = (5 × 4) + 3 = 23/4 and 3 1/4 = (3 × 4) + 1 = 13/4.
Subtract the second fraction from the first: 23/4 - 13/4 = (23 - 13)/4 = 10/4.
Simplify the result: 10/4 = 2 2/4 = 2 1/2 meters.
Which graph shows the solution to the system of linear inequalities below? y>2x+1 y<2x-3
Option D: Graph C is the solution to the system of linear inequalities.
Explanation:
The system of linear inequalities are [tex]y \geq 2 x+1[/tex] and [tex]y<-2 x-3[/tex]
Let us graph the inequality [tex]y \geq 2 x+1[/tex]
Let us substitute the coordinate [tex](0,0)[/tex] in the inequality [tex]y \geq 2 x+1[/tex], we get,
[tex]0 \geq 2 (0)+1[/tex]
[tex]0 \geq1[/tex]
This is false. Hence, the solution does not contain the coordinate [tex](0,0)[/tex]
Thus, let us shade the upper part of the line in the graph.
Similarly, let us substitute the coordinate [tex](0,0)[/tex] in the inequality [tex]y<-2 x-3[/tex], we get,
[tex]0<-2 (0)-3[/tex]
[tex]0<-3[/tex]
This is false. Hence, the solution does not contain the coordinate [tex](0,0)[/tex]
Thus, let us shade the lower part of the line in the graph.
The solution to the system of linear inequality is the intersection of the two regions.
Thus, the solution of the inequality is Graph C.
Hence, Option D is the correct answer.