Answer:
B. Tamar is correct.
Step-by-step explanation:
A triangle can be proven as a right angle triangle if it follows Pythagoras theorem. The pythagoras theorem can be use to know if a triangle is right angled triangle. Therefore, pythagoras theorem is expressed as
c² = a² + b²
where
c = hypotenuse sides
a and b can be any of the opposite or adjacent sides.
The hypotenuse side is the longest side so the triangle with length side of 40, 42 and 58 will have the hypotenuse as 58 . The other sides will be the opposite and adjacent sides
c² = a² + b²
58² = 40 ² + 42²
3364 = 1600 + 1764
3364 = 3364
Therefore, it obeys Pythagoras principle. Tamar's work is correct . The triangle is a right angled triangle.
Answer:
B
Step-by-step explanation:
Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 18% each week. The following function represents the weekly weed growth: f(x) = 86(1.18)x. Rewrite the function to show how quickly the weeds grow each day. f(x) = 86(1.02)x; grows approximately at a rate of 0.2% daily f(x) = 86(1.18)7x; grows approximately at a rate of 1.8% daily f(x) = 86(1.02)7x; grows approximately at a rate of 2% daily f(x) = 86(1.187)x; grows approximately at a rate of 0.18% daily
Answer:
Correct option: third one
f(x) = 86(1.02)7x; grows approximately at a rate of 2% daily
Step-by-step explanation:
We can rewrite the equation using the model:
P = Po * (1 + r/n) ^ (nt)
Where P is the final value, Po is the inicial value, r is the rate, t is the time and n is the relation of the rate and the time (in our case, the rate is weekly and the time will be in days, so n = 7)
With P = f(x), Po = 86, r = 0.18 and t = x, we have:
f(x) = 86 * (1 + 0.18/7) ^ (7x)
f(x) = 86 * (1.02) ^ (7x)
So the daily rate of growth is approximately 2%
Correct option: third one
1. The budget above was created by Alex to help him plan how he will spend the money she earns. He usually earns
$20 each week by babysitting and running errands for his parents. If Alex is sick one weekend and can't earn the
$20. how much will he earn for that 4-week period (assume there are 4 weekends in the month)?
Answer:
Alex will be able to earn $60 for that 4-week period.
Step-by-step explanation:
It is given that
Income to Alex each week by babysitting and running errands:
$20.
To find the 4-week period earning, we need to add the value $20 for 4 times:
20 + 20 + 20 + 20 = $80
OR
In other words, 4 week period earning = 4 [tex]\times[/tex] 20 = $80
But, Alex was sick at one of the weekends, so $20 would be earned less.
Hence, during that 4-week period, total earning = $80 - $20
[tex]\Rightarrow[/tex] $60
So, Alex will be able to earn $60 for that 4-week period.
Which graph represents a function with direct variation? ( Please Help ASAP)
Answer:
second graph
Step-by-step explanation:
direct variation is recognized as y=mx+b, where b=0
y=0 when x=0
the function has (0,0) point
it appears in the second graph only, so the answer is the second graph
Pat's Potato farm grew 490 ponds of potatoes. Pat delivered 3/7 of the potatoes to the vegi stand. The owner of the vegi stand delivered 2/3 of the potatoes he bought to the grocery store,witched packedged half of the potatoes that were delivered into 5 pound bags. How many 5 pound bags did the grocery store package?
Answer:
Step-by-step explanation:
Pat's Potato farm grew 490 pounds of potatoes. If Pat delivered 3/7 of the potatoes to the vegi stand, it means that the number of pounds of potatoes that pat delivered to the vergi store is
3/7 × 490 = 210 pounds
The owner of the vegi stand delivered 2/3 of the potatoes he bought to the grocery store. It means that the amount delivered to the grocery store is
2/3 × 210 = 140
If half of the delivered potatoes was packaged in bags of 5 pounds each, it means that the amount of potatoes packaged in the bags is 140/2 = 70 pounds.
The number of bags of 5 pounds that the grocery store packaged is
70/5 = 14 bags
What is the area of the composite figure? (6π + 4) cm2 (6π + 16) cm2 (12π + 4) cm2 (12π + 16) cm2
Answer:
16 + 6pi
Step-by-step explanation:
We have a square and 3 semicircles
The area of the square is
A = s^2 and the side length is 4
A = 4^2 = 16
The radius of the semi circle is 2
The area of a semicircle is
1/2 pi r^2
1/2 pi (2)^2 = 2pi
We have 3 of them
3 *2pi = 6pi
Add the areas together
16 + 6pi
Answer:
(6π + 16) cm²
Step-by-step explanation:
The composite shape can be cut into 4 shapes.
3 equal semi-circles and 1 square.
The square has a side length of 2 + 2 = 4cm.
The radius of the semi-circle is 2 cm.
The area of the square is:
4 × 4 = 16 cm²
The area of the semi-circle is:
2²π × 1/2
= (2π) cm²
There are 3 equal semi-circles, so multiply the area by 3.
2π × 3 = (6π) cm²
Add the areas of the 4 shapes.
16 cm² + (6π) cm²
= (6π + 16) cm²
The total area of the composite shape is (6π + 16) cm².
Cameron surveyed 200 of the students in his school about their favorite color. 60
students said their favorite color was red. What percentage of the surveyed students
said their favorite color was red?
Answer:30%
Step-by-step explanation:
The probability that your ticket will be chosen is 6%. There are 250 tickets in the drawing. How many tickets are yours?
Answer: 15
Step-by-step explanation:
6 percent of 250 is 15
15/250 = 6%.
Answer:
6% = 6/100 = 0.06
250 x 0.06 = 250 x 6 / 100
250 x 6 = 1500 / 100 = 15
15 tickets are mine
Hope this helps
Step-by-step explanation:
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
A
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
m(x) = 2(x + 4)² - 8 ← is in vertex form
with vertex = (- 4, - 8 ) → A
The second term of a geometric sequence is 17.5 and the third term is 122.5. What is the common ratio? What is the first term?
Step-by-step explanation:
U2=ar
U2=17.5
U3=ar^2
U3=122.5
U3/U2=122.5/17.5
ar^2/ar=7
r=7
17.5=ar
17.5=7a
a=2.5
The area of a square is 350cm². Find the length of the diagonal.
Answer: 26.46cm
Step-by-step explanation:
The formula of a diagonal of a square is square root 2 a(a is not under the square root though)
So just substitute the a (area) with 350 and solve the equation.
Answer:
26.46cm
Step-by-step explanation:
Because you are dealing with a square, take the square root of the area and then use pythagoras theorem to calculate the diagonal.
1.) Mr. Taylor weighs 300 pounds. He went on the Subway diet and was guaranteed to lose 5 pounds per week. Write an equation that could be used to find how many weeks, w, it would take for him to weigh 150 pounds
2.)You have $60 and your sister has $120. You are saving $7 per week and she is saving $5 per week. How long will it take before you and your sister have the same amount of money?
Answer:
1.) 300 - 5w = 150
2.) 30 weeks
Step-by-step explanation:
w = weeks on the diet
if every week he's on the diet, that means that the weeks * 5 is how many pounds he loses. If he's on the diet one week then he loses 5 pounds. 2 weeks then 10 pounds... etc. But because he's losing punds the value is negative
He starts at 300 pounds so the y-intercept (starting value) would be 300
Finally, because he's looking to get to 150 pounds, that is the final value you're solving for
So this is your firat equation:
300 - 5w = 150
Then we are looking for when two different eqaution have the same value.
Your equation is: 60 + 7w
Her equation is: 120 + 5w
Your final equation is 60 + 7w = 120 + 5w
Solve for this by getting w on one side, and your plain old variable-less value on the other. Do this by subtracting 5w from each side, as well as 60.
Your equation is now 2w = 60
Then divide the whole equation by 2, and you get w = 30
A store buys an item for $10. To earn a PROFIT of $25, what percent does 13 po
the store need to mark up the item? (Hint: if the profit is $25, they must
sell it for more than that...) *
Answer:
150%
Step-by-step explanation:
25-10= 15
15/10 = 1.5
1.5 = 150%
Please answer correctly !!!!!!!!! Will mark brianliest !!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
Because in N(8)>2.N(5) there is 2 times N(5) in front of it. In the example N(g) means the numbers of students whose grade on the exam was g. so in this case N(8) means the numbers of students whose grade on the exam was 8 and N(5) means the numbers of students whose grade on the exam was 5. So when you turn this equation into words it means The numbers of students whose grade was 8 is more than twice the number of students whose grade was 5.
If a number is increased by 28 and then divided by 5, the result is 7.
The algebraic equation is
x + 28 divided by 5 =7.
what is x
x+28 / 5 = 7
Multiply both sides by 5:
x +28 = 35
Subtract 28 from both sides:
x = 7
the table shows the age in years of employees in a compant
a
26<a<28
Step-by-step explanation:
The class interval of age in year is 2
so, 2 is the class interval
Can someone please help me I need to get this right
Answer:
Option C
Step-by-step explanation:
Option C would map (1,3) to (-1,4).
[tex](x,y)\rightarrow(x-2,y+1)[/tex]
[tex](1,3)\rightarrow(1-2,3+1)\rightarrow(-1,4)[/tex]
1 - 2 = -1
3 + 1 = 4
Option C should be the correct answer.
Answer: 3rd option (x-2, y+1)
Step-by-step explanation:
1-2 = -1
3+1 = 4
a system of linear equations is given by the tables. one of the tables is represented by the equation y=-1/3x+7. The equation that represents the other equation is y= x + the solution of the system is ( , )
Answer:
1). Other line is, y = [tex]\frac{1}{3}x+5[/tex]
2). Solution of the system is (3, 6)
Step-by-step explanation:
From the table (1),
Let the equation of the line from the given table is,
y - y' = m(x - x')
Where m = slope of the line
(x', y') is a point lying on the line.
Choose two points from the table which lie on the line.
Let the points are (0, 5) and (3, 6)
Slope = m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{5-6}{0-3}[/tex]
= [tex]\frac{1}{3}[/tex]
Therefore, equation of the will be,
y - 5 = [tex]\frac{1}{3}(x-0)[/tex]
y = [tex]\frac{1}{3}x+5[/tex] -------(1)
Let the other line from the table (2) is,
y - y" = m'(x - x")
Two points taken from this table are (0, 7) and (3, 6)
m' = [tex]\frac{7-6}{0-3}[/tex]
= [tex]-\frac{1}{3}[/tex]
Equation of the line will be,
y - 7 = [tex]-\frac{1}{3}(x-0)[/tex]
y = [tex]-\frac{1}{3}x+7[/tex] -------(2)
Therefore, equation of the other line will be, y = [tex]\frac{1}{3}x+5[/tex]
By adding equations (1) and (2),
y + y = [tex]-\frac{1}{3}x+\frac{1}{3}x+5+7[/tex]
2y = 12
y = 6
From equation (1),
6 = [tex]\frac{1}{3}x+5[/tex]
[tex]\frac{1}{3}x=7-6[/tex]
x = 3
Therefore, solution of the system is (3, 6).
Answer:
The first line is 1/3x and 5. For the second line the answer is (3,6).
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!
Square OABC is drawn on a centimetre grid. O is(0,0) A is(3,0) B is(3,3) C is(0,3). Write down how many invariant points there are on the perimeter of the square, when OABC is enlarged, scale factor 2, centre (0,0)
Answer:
1 point. O (0,0)
Step-by-step explanation:
Hi
Invariant points are those points who remain on the same location after a given transformation.
1. Plotting OABC we have it below:
2. Whenever we dilate centered, the image O'A'B'C' will be determined by the following points:
[tex]O'(0,0) \:A'(3,0) B'(6,6) \:and\:C'(0,6)[/tex]
Since the Scale factor is (2)
3. Check it out O'A'B'C' below
4. On the perimeter of O'A'B'C' (enlarged OABC) we have left 1 point invariant.
Answer:
The answer would be 2
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
If u want to find nathan’s Age then 4f equals to Nathan
If u want to find fred’s age then nathan’s Age plus 27
Hope this helps
Please answer CORRECTLY !!!!!! Will mark BRAINLIEST !!!!!!!!
Answer:
The answer is 7 meters
Step-by-step explanation:
Its 7 meters because if you divide the area by the width you would get the length (49 divided by 7 = 7)
can anyone help me
plzzzzzzzzzzzzzzzzzzz
Answer:
1. B
2. A
3. A
4. C
Step-by-step explanation:
ask specific questions for explanations of the answers
Plss help^^
This recipe makes three portions of soup.
Navina follows this recipe but only wants to make enough for one portion of soup.
How much of each ingredient does she need?
Answer:
Yeo wsp
60g onions
40g carrots
1 tablespoon of oil
200 g tomatoes
.4 L vegetable stock
Step-by-step explanation:
You just divide everything by 3
Find the mean, median, and mode of the data. 67, 59, 34, 71, 59
Answer:
Mean: 58
Median: 59
Mode: 59
Step-by-step explanation:
34, 59, 59, 67, 71
Mean: 34 + 59 + 59 + 67 + 71 = 290/5 = 58
Median: 59
Mode: 59
Answer:
mean 58
median 59
mode 59
Step-by-step explanation:
67, 59, 34, 71, 59
The mean is the sum divided by the number of numbers
(67+ 59+ 34+ 71+ 59)/ 5 = 290/5 = 58
The median is the middle number when the numbers are written from smallest to largest
34, 59, 59, 64, 71
The middle number is 59
The median is 59
The mode is the number that appears most often
The number 59 appears twice
59 is the mode
A shelf has 4 blue pairs of pants, 2 black pairs of pants, 1 white pair of pants, and 3 tan pairs of pants. You randomly choose a pair of pants from the shelf. What is the probability of choosing a blue pair of pants?
Answer:
2/5
Step-by-step explanation:
4 blue pairs of pants, 2 black pairs of pants, 1 white pair of pants, and 3 tan pairs of pants = 10 pairs of pants
P( blue) = blue pants / total pants
= 4/10
=2/5
You earn $8.50 per hour at your summer job. Write and solve an inequality that represents the number of hours you need to work in order to buy a digital camera that costs $348.50
Answer:
8.50x [tex]\geq[/tex] 348.50
41 hours
Step-by-step explanation:
x= amount of hours
log base4 64=3 pls solve
Answer: 4^3 = 64
Step-by-step explanation:
Formula is [tex]a^c=b[/tex]
[tex]4^3=64[/tex]
Answer:
[tex]{4}^{3} = 64 \\ [/tex]
Step-by-step explanation:
[tex] log_{a}(c) = b \\ {a}^{b} = c[/tex]
Use the formula.
[tex] log_{4}(64) = 3[/tex]
[tex] {4}^{3} = 64[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
8.
How is the graph of y = 4(2)* - - 3 translated from the graph of y = 4(2)*?
3 units right
3 units down
3 units left
3 units up
Answer: 3 units up
Step-by-step explanation:
Which is a complete list of factors of each term in the expression 15 + 20 x?
Answer:
15: 1, 3, 5, 15
20x: 1, 2, 4, 5, 10, 20, x
Step-by-step explanation:
What is the range of the functuon f(x)=(x-4)(x-2)
Answer:
The range is [-1, ∞).
Step-by-step explanation:
The points where the graph of this function cut the x axis are at x = 2 and x = 4 , it opens upwards and has a minimum value.
It has a minimum value when x = (2 + 4) / 2 = 3.
When x = 3, f(x) = (3 - 4)(3 - 2) = -1.
So the range is all real values of x >= -1, or [-1, ∞)