Answer:
1300 and 700 respectively.
Step-by-step explanation:
Let x be invested in first account and y be invested in second account.
ATQ, x+y=2000 and 101=(4)*x/100+7*y/100. Solving it will give us x=1300 and y=700
Q12 A baker wants to order crough our for 10 laves of bread weighing 750g each. She has a recipe for a 500g loaf of bread which needs 480g of flour, How many kiograms of flour does the baker need? Show your working kg (3 marks)
Answer:
i am not sure lol
Step-by-step explanation:
Please help me with this on the picture
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Answer:
(x, y) ⇒ (y+1, 7-x) . . . rotation 90° CW about (4, 3)
or
(x, y) ⇒ (y+1, x+1) . . . glide reflection across y=x; and translation (1, 1)
Step-by-step explanation:
The figure is apparently rotated 90° clockwise. This can be accomplished a couple of ways: (1) rotation 90° CW about some center; (2) reflection across the line y=x. Because of the symmetry of the figure, we cannot tell which of these is used.
Rotation
The center of rotation can be found by looking at the perpendicular bisectors of the segments joining a vertex and its image. One such segment has endpoints (1, 6) and (7, 6), so is a horizontal line with midpoint (4, 6). The perpendicular bisector of that is x=4.
Another segment joining a point with its image has endpoints (5, 6) and (7, 2). Its midpoint is (6, 4), and the slope of the bisector through that point is 1/2. It intersects the line x=4 at (4, 3), the center of rotation.
Rotation 90° CW about the origin is the transformation (x, y) ⇒ (y, -x), so rotation of (x, y) 90° about the point (4, 3) will be the transformation ...
(x, y) ⇒ ((y -3) +4, (-(x -4) +3) = (y +1, 7 -x)
The transformation A to B is rotation 90° CW about (4, 3):
(x, y) ⇒ (y +1, 7 -x).
__
Reflection
Simple reflection across the line y=x is the transformation (x, y) ⇒ (y, x). Applying that transformation, we see that an additional translation of 1 unit right and one unit up is required. The complete transformation is a "glide reflection", a reflection followed by a translation.
The transformation A to B is a glide reflection across the line y=x with a translation up 1 and right 1:
(x, y) ⇒ (y +1, x +1).
The vertex form of the equation of a vertical parabola is given by , where (h, k) is the vertex of the parabola and the absolute value of p is the distance from the vertex to the focus, which is also the distance from the vertex to the directrix. You will use the GeoGebra geometry tool to create a vertical parabola and write the vertex form of its equation. Open GeoGebra, and complete each step below. If you need help, follow these instructions for using GeoGebra. Mark the focus of the parabola you are going to create at F(6, 4). Draw a horizontal line that is 6 units below the focus. This line will be the directrix of your parabola. What is the equation of the line?
Part F
What is the value of p for your parabola?
Font Sizes
Characters used: 0 / 15000
Part G
Based on your responses to parts C and E above, write the equation of the parabola in vertex form. Show your work.
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Characters used: 0 / 15000
Part H
Construct the parabola using the parabola tool in GeoGebra. Take a screenshot of your work, save it, and insert the image below.
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Characters used: 0 / 15000
Part I
Once you have constructed the parabola, use GeoGebra to display its equation. In the space below, rearrange the equation of the parabola shown in GeoGebra, and check whether it matches the equation in the vertex form that you wrote in part G. Show your work.
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Part J
To practice writing the equations of vertical parabolas, write the equations of these parabolas in vertex form:
focus at (-5, -3), and directrix y = -6
focus at (10, -4), and directrix y = 6.
Answer:
Step-by-step explanation:
Focus: (6,4)
Directrix lies 6 units below the focus, so the parabola opens upwards and focal length p = 6/2 = 3.
The equation of the directrix is y = -2.
The vertex is halfway between focus and directrix, at (6,1).
Equation of the parabola:
y = (1/(4p))(x-6)²+1 = (1/12)(x-6)²+1
The equation of the parabola is [tex]y = \frac{1}{12}(x - 6)^2 + 1[/tex]
What are parabolas?Parabolas are used to represent a quadratic equation in the vertex form
The given parameters are:
Focus = (6,4)
Directrix (x) = 6 units below the focus,
Start by calculating the focal length (p)
[tex]p = \frac x2[/tex]
This gives
[tex]p = \frac 62[/tex]
[tex]p = 3[/tex]
Next, calculate the vertex as follows:
[tex](h,k) = (6,2/2)[/tex]
Simplify
[tex](h,k) = (6,1)[/tex]
The equation of the parabola is then calculated a:
[tex]y = \frac{1}{4p}(x - h)^2 + k[/tex]
So, we have:
[tex]y = \frac{1}{4*3}(x - 6)^2 + 1[/tex]
Simplify
[tex]y = \frac{1}{12}(x - 6)^2 + 1[/tex]
Hence, the equation of the parabola is [tex]y = \frac{1}{12}(x - 6)^2 + 1[/tex]
Read more about parabola at:
https://brainly.com/question/26738087
I need help with this please
in a children of 700 inmates,25% are living with polio and 30% are girls . if 30% og the girls have polio, how many are the boys without polio
Answer: 378 Boys
Explanation:
Total no. Inmates = 700
Living with polio = 25/100×700
= 175 inmates
Total girls = 30/100×700
= 210 Girls
30% of girls Having polio = 30/100×210
= 63 Girls
Total Boys = 700 - 210
= 490 Boys
Total boys with polio = 175 - 63
= 112 boys
Boys without polio = 490 - 112
= 378 boys
Must click thanks and mark brainliest
Select the appropriate descriptions of the correlation coefficient (r).
a. r describes the clustering of the points around a line, relative to the SDs.
b. r says how the average value of y depends on x.
c. r determines the accuracy of the regression predictions, through the formula for r.m.s. error.
d. All of the above are accurate descriptions of the uses of r.
Step-by-step explanation:
I Think Its C
PLEASE HELP ASAP will give brainliest
Step-by-step explanation:
3n-5=(-8*6)+(-8*5n) distributive property
3n-5=-48-40n
3n+40n=-48+5 add property
43n=-43 add property
43n/43=-43/43 division property
n=-1
Clayton works 40 hours a week at an hourly rate of $3.10. He averages
$140 weekly in tips. What is his annual income?
a. $264
b. $6,448
c. $7,280
d. $13,728
Answer:
D
Step-by-step explanation:
( 40 ( 3.10 ) + 140 ) ( 52 weeks ) = 13,728
what is heavier ten tons of wool or ten tons of steel
Help me please guys thanks
Answer:
A is correct
Step-by-step explanation:
Guys could you answer this for me I just want to double check to make sure I’m right
Answer:
Step-by-step explanation:
I'm guessing but I think you are asked to represent 40% of the circle graph. There are 5 equal slices in the circle. If you shade 2 of them, that will equal 40% because 1 slice represents 20% of the circle, so two slices must be 40%.
Need answers in 2 minutes ASAP
The length of a rectangle is shown below:
On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. Point A is on ordered pair negative 4, 5, and the point B is on ordered pair 5, 5.
If the area of the rectangle to be drawn is 90 square units, where should points C and D be located, if they lie vertically below A and B, to make this rectangle?
C(4, −5), D(−3, −5)
C(5, −4), D(−4, −4)
C(5, −5), D(−4, −5)
C(−5, 5), D(−5, −4)
Answer:
C(5, −5), D(−4, −5)
Step-by-step explanation:
9 across
A(-4, 5) ————————— B(5, 5)
| |
| 90 square units | 10 down
| |
D(-4, -5) ————————— C(5, -5)
solve for x. please help !
Answer:
-2
Step-by-step explanation:
3x + 8x - 3 = -25
Move the -3 over to the other side. This will make the -3 into positive 3
3x + 8x = -25 + 3
Now add like terms
11x = -22
Divide both sides by 11 to get x by itself
x = -2
Answer:
x= -2
Step-by-step explanation:
First you combine the like terms 3x and 8x which then gives you 11x
then you'll have 11x-3=-25
add 3 to both sides and you have 11x=-22
divide the 11 on both sides
then you'll have x=-2
which of the following illustrates commutative property of addition? 17+4=4+17
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Answer:
17 +4 = 4 +17
Step-by-step explanation:
The only expression shown here illustrates that property.
look at the image for the question
Answer:
3166.7
Step-by-step explanation:
V = πr²h
V = π * (12 km)² * 7 km
V ≈ 3166.7 km³
Hey there!
First, let's review the formula for finding a cylinder's volume.
Formula: [tex]\pi r^2h[/tex]
Our new equation would look like this: [tex]\pi[/tex] x [tex]12^{2}[/tex] x 7.
The original answer would be 3166.72539482, but the question states that it want it rounded to the nearest tenth. So, your answer would be 3166.7.
Hope this helps! Have a great day!
Which Expression is equivalent to 4(6 + x + 3x)
4(6) + 4(x) + 4(3x)
24 - 4x + 12x
-24 + 4x + 12x
Answer:
=4(6) + 4(X) + 4(3x)
=24+4x+12x
=24+16x
Find the value of z.
a.95 b.110 c.140 d. 100
Answer:
110
Step-by-step explanation:
2x + 15 = ((10x+20)-80)/24x + 30 = 10x - 6030 = 6x - 6090 = 6xx = 15So, 10x+20=170.
As the circumference of a circle is 360°, z is equal to 110.
Two complementary angles have measures of s and t. if t is less than twice s, which system of linear equations can be used to determine the measure of each angle? Please explain answer. I know s+t=90. But how do you get to t=2s-90
The required expressions are both equations 1 and 2 as shown:
[tex]s + t = 90 ......... 1[/tex]
[tex]t<2s[/tex] .... 2
Complementary angles are angles that sum up to 90 degrees. For instance, and A and B are complementary if A + B = 90.
According to the question, if two complementary angles have measures of s and t then:
[tex]s + t = 90 ......... 1[/tex]
Twice of 's' is expressed as [tex]2s[/tex]
If t is less than twice s, this can be expressed as [tex]t<2s[/tex] .... 2
The required expressions are both equations 1 and 2 as shown:
[tex]s + t = 90 ......... 1[/tex]
[tex]t<2s[/tex] .... 2
Learn more on word problems leading to simultaneous equations here: https://brainly.com/question/14294864
What are the odds IN FAVOR of picking a red marble from a bag of 10 green marbles, 10 yellow marbles, and 5 red marbles?
Answer:
there is a 20% chance of getting a red marble
Step-by-step explanation:
Answer:
there is a 1/5 percent chance or 20%
Step-by-step explanation:
Hope this helps!
An organization consists of 8,684 employees. They decided to conduct a survey about their new vacation policies. The organization surveyed 884 of their employees and found that 36% of those surveyed disliked the new vacation policies. Assuming a 95% confidence level, which of the following statements holds true?
Answer:
A. As the sample size is appropriately large, the margin of error is ±0.032.
Step-by-step explanation:
The margin of error is ±0.032 and the sample size is appropriately large. Therefore, the correct option is A.
HELP! What is the probability of randomly picking a green marble from a bag of 10 green marbles, 10 yellow marbles, and 5 red marbles?
Answer:
2/5
Step-by-step explanation:
For probability, it's the
number of the type you want
_______________________
the total number of items
So the equation for this would be
10/10+10+5
= 10/25
= 2/5
The final answer is 2/5. Keep in mind that probability is a ratio of likeliness between things, so you CANNOT write it as a decimal!
I hope this helped! :D
Which expression describes this graph?
A. x -5
B. x -5
C. x < -5
D. x > -5
Answer:
C
Step-by-step explanation:
The equation that described the graph is x<-5
find the measure of d
(a) If h (x) = x-3 and h(x) = (fog) (x) then find function of f(x) र g(x) of (x+3)³.
(b) If h(x) = (2x - 3) 5, h (x) = (fog) (x) then find two possibility of f(x) g(x).
Answer:
I don't understand the first question with " र" ???
Step-by-step explanation:
b)
1)
f(x)=x and g(x)=(2x-3)^5 so (fog)(x)=g(f(x))=g(x)=(2x-3)^5
2)
f(x)=x^5 and g(x)=2x-3 so (fog)(x)=g(f(x))=g(x^5)=(2x-3)^5
i need help and thx you freinds
Answer:
Below
Step-by-step explanation:
Find the areas of the triangles on the sides
A = bh / 2
= (3)(5) / 2
= 7.5
There are 2 of these so it would just be 15
Now for the square
A = lw
= (5)(6)
= 30
Add em all up
Total area = 15 + 30
= 45 cm^2
Hope this helps!
Which one is <37° and which one is <30° ?
Answer:
the answer is 6
Step-by-step explanation:
well if the hypotnose is 12m the ø is 6
What’s the answer to this? Help please?!!!
Answer:B
Step-by-step explanation:
A lab technician needs 35 ml of 15% base solution for a certain experiment,
but she has only 10% solution and 20% solution. How many milliliters of
the 10% and the 20% solutions should she mix to get what she needs?
Answer:
17.5ml- of 10 percent solution, 17.5ml- of 20 percent solution
Step-by-step explanation:
35:100*15=5.25- ml of alkali in the base solution
Suppose we need x ml of 10 percents solution and 35-x - of 20 percents.
Then The quantity of alkali in the first one (10 percents) is x/100*10=0.1x
when in the second one we have (35-x)/100*20= 7-0.2x of alkali
0.1x+7-0.2x=5.25
7-0.1x= 5.25
0.1x=1.75
x=17.5- 0f 10 percents
35-17.5=17.5 - of 20 percents
34 Proportions
Mathematics, Pre-Algebra
Question 2
A boat can travel 21 miles on 7 gallons of gasoline. How far can it travel on 17 gallons?
Answer:
51 miles
Step-by-step explanation:
hope it's clear and understandable
:)
