The longest possible length of the thread is;
Length = 144 cm
Let the length of the thread be x cm.
Now, it is first folded in half. This means divided into 2. Thus, we now have length as x/2.
We are told it is folded again. This means the length after second folding is now; (x/2) ÷ 2 = x/4.We are told that there is now a straight cut through the entire bundle with one of the pieces being 8cm and the longer piece being 18 cm.This means the ratio is; 8:18
Since the new length after the final folding is x/4, then it means after cutting;longer length will be; [tex](\frac{18}{8 + 18})[/tex] [tex]* (\frac{x}{4})[/tex]
Thus, we now have;
18 = (18/26) × (x/4)
18 will cancel out to give; x = 26 × 4
x = 144 cm
Therefore the longest possible length of the thread = 144 cm
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I thought it was 144 but it is not
The answer to a multiplication problem
with 4 negative numbers will always be
I’ll give 50 points if you can help
Answer:
x = 6 degrees
Step-by-step explanation:
A straight line is 180 degrees and we can make out three angles the form it, this means the three of them add to 180 using the straight angle theorem:
5x + x + 54 + 90 = 180
6x + 144 = 180
6x = 36
x = 6
-When invested at an annual
interest rate of 7% an account
earned $581.00 of simple
interest in one year. How much
money was originally invested in
account
Answer:
$8300
Step-by-step explanation:
First, you need to know the formula for this type of question.
The formula is I = Prt. These variables are: I = Interest, P = Principle investment, r = Rate, and t = Time.
Your equation will be 581 = P(0.07)(1), since 0.07*1 is 0.07, you'll earn only 7% interest.
So, we broke down the equation to 581 = P(0.07), and you have to isolate P.
Since you have to isolate P, you divide 0.07 from both sides of the equation, which is 581/0.07 = 8300.
So, your principle investment is $8300.
Good luck!
Li enters a competition to guess how many jelly beans are in a jar.
Li’s guess is 345 jelly beans.
The actual number of jelly beans is 300.
What is the percent error of Li’s guess?
Answer:
15
Step-by-step explanation:
345-300 X 100 = 15%
300
Answer:
Percent error =
15%
Li’s guess was off by
15%.
Step-by-step explanation:
TTM </3
Write your answer in a + bi form.
A=___
B=___
Answer:
Step-by-step explanation:
[tex]\frac{-3+7i}{-6-7i} \times \frac{-6+7i}{-6+7i} =\frac{18-21i-42i-49i^2}{(-6)^2-(7i)^2} \\=\frac{18-63i -49(-1)}{36-49i^2} \\=\frac{18+49-63 i}{36-49(-1)} \\=\frac{67-63i}{36+49} \\=\frac{67-63i}{85} \\=\frac{67}{85} +(\frac{-63}{85} )i\\[/tex]
[tex]a=\frac{67}{85} \\b=\frac{-63}{85}[/tex]
A classroom board is 36 inches wide and 24 inches tall. Cheryl
is putting ribbon along the outside edge of the board. How
many inches of ribbon will she need?
24 inches
36 inches
A 156 inches B 120 inches
C90 inches
D 60 inches
Answer:
option B
Step-by-step explanation:
The amount of ribbon needed is 120 inches
what is perimeter?The perimeter formula for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width.
Given:
length = 24 inches
width = 36 inches
So, amount of ribbon needed
=2(36+ 24)
=2(60)
=120 inches
Hence, the amount of ribbon needed is 120 inches
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find the square root of 12.96 by divison method
Answer:
3.6
Step-by-step explanation:
HOPE IT HELPS!!!!!!!
Step-by-step explanation:
See this above attachment.
[tex]\tt{\sqrt{12.96}=3.6}[/tex]
Given f (x) = 5x - 3, find f (-2)
Answer:
f(- 2) = - 7
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x), that is
f(- 2) = 5(- 2) + 3 = - 10 + 3 = - 7
A bank loaned out $25,000, part of it at the rate of 12% annual interest, and the rest at 4% annual interest. The total interest earned for both loans was $1,480.00. How much was loaned at each rate?
Answer:
1875
Step-by-step explanation:
The bank loaned part of the $25,500 at a 6% interest rate. We will call this loan amount x. Then the rest of the 25,500 was loaned at a 9% interest rate. We will define this amount as 25,500 - x. We also know that the total interest earned was $1,875. With this information, we form the equation:
.06(x) + .09(25500 - x) = 1,875
.06x + (2,295 - .09x) = 1,875
Simplify the above equation to:
-.03x + 2,295 = 1,875
-.03x = -420
x = 14,000
Since x is the amount loaned at the 6% interest rate, we know that $11,500 was loaned at a 9% interest rate. (25,500 - 14,000 =11,500)
To figure out the amount loaned at 6%, subtract 11,500 from 25,500 ... this gives us 14,000. This means $14,000 was loaned at 6%.
To check:
14,000 x .06 = 840
11,500 x .09 = 1035
840 + 1035 = 1875
Estimate a 15% tip on a dinner bill of 69.85 by first rounding the bill amount to the nearest ten dollars
Answer:
10.5$
Step-by-step explanation:
Nearest 10 dollar: 70$
since the tip is 15% u take the 15 and divide it by a 100
amd than multiply the answer with 70$
the answer will be 10.5$
Coco needs 150mg of a medication that comes in tablets labelled 100mg each. How many tablets will you give her?
Please show work!
Answer:
1.5
Step-by-step explanation:
If 1 tablet is 100mg, and you need 150mg, we set up this equation:
Let x be the number of tablets Coco needs.
x = 150/100
x = 1.5
Therefore, you need 1.5 tablets for the medication.
which side lengths form a right triangle ?
Answer:
B
Step-by-step explanation:
1^2 + 8^2 = c^2
1 + 64 = c^2
65 = c^2
√c^2 = √65
(-8) + (-10) _(-12) =
16 - 24 + 10 =
79 - (-80) + (-15) =
(-5) (-15) (+9) =
(-650) ÷ (+65) + (10) =
Answer:
-30
2
144
675
0
Step-by-step explanation:
What is the midpoint of AC on the grid below?
Answer: Coordinates of the point E of the middle AC (-1 ; 1 )
Step-by-step explanation:
The middle of AC can be calculated by the formula :[tex]\sf \displaystyle M=\left (\frac{x_1+x_2}{2} \ ; \ \frac{y_1+y_2}{2} \right ) =(x_m \ ; \ y _m )[/tex] In our case :A(2 ; 4) ; C(-4 ; -2) Then :[tex]\sf \displaystyle M=\left (\frac{2+(-4)}{2} \ ; \ \frac{4-2}{2} \right ) =(-1 \ ; \ 1 )[/tex] Coordinates of the point E of the middle AC (-1 ; 1 )pls pls pls help help help pls this is important to me look at the picture
Answer:
here this should be right
Each face of a cube is a square with a side length of 3 meters. What is the total area of all the faces of the cube?
Answer: 54
Step-by-step explanation:
A cube is a perfect square to find the area use L x W and if the length is 3, the width is 9
A cube has 6 sides, so 9 x 6 = 54
The total area of all the faces of the cube is 54 square meters.
Let's dive into finding the total area of all the faces of a cube.
A cube is a special type of three-dimensional shape where all its sides (called faces) are equal squares.
In your case, each face has a side length of 3 meters.
Now, to find the total surface area of the cube, we need to calculate the area of each face and then add them up.
The formula to find the area of a square is side length squared, which is [tex]\(A = s^2\)[/tex], where [tex]\(A\)[/tex] is the area and [tex]\(s\)[/tex] is the side length.
So, for your cube, each face's area is [tex]\(3^2 = 9\)[/tex] square meters. Since a cube has 6 faces,
we simply multiply the area of one face by the number of faces: [tex]\(6 \times 9 = 54\)[/tex] square meters.
To sum it up, the total area of all the faces of the cube is 54 square meters.
This is calculated by finding the area of one face and then multiplying it by the total number of faces.
In this case, each face has an area of 9 square meters, and a cube has 6 faces, resulting in a total area of 54 square meters.
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Connor was traveling in Mexico and is returning to his home in the United States.
He has 2,567 pesos left. The current exchange rate is 1 U.S. dollar is equal to 19.43
pesos. How many U.S. dollars will he have if he converts his leftover pesos to
dollars?
$2,567
$102.68
$132.12
$3,414
Answer:
Connor will have $132.12 usd
2567(pesos)/19.43(exchange rate) = $132.12
<3Miss Hawaii
Question 9 of 10
The two lines below are parallel. If the slope of the red line is what is the
slope of the green line? Use a slash mark (/) as a fraction bar if necessary.
Answer:
if the lines are parallel, that means they have to have the same slope in order to stay parallel to one another. so the slope of both the green and red lines is 1/5
Find the real distinct value
Answer:
Step-by-step explanation:
it has real roots if disc.≥0
p²-4×2×3≥0
p²≥24
|p|≥2√6
p≥2√6
or
p≤-2√6
help please
Sorry if it’s blurry
PLEASE HELP NOW!!!! 85 POINTS GIVEN! North America and Eurasia are moving apart due to continental drift. Tanvi calculates that they are doing so at a rate of roughly 2.5×102 centimeters per century. What would be the most appropriate unit for Tanvi to use instead of centimeters per century?
A-centimeters per year B-centimeters per week
C- centimeters per day D-centimeters per hour
Answer:
Answer is option A
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
A. Centimeters per year
Step-by-step explanation:
I THINK. It's easier to think about it when you give shorter amounts of time, but not as short as a day or hour because the movement is too slow
Find the value of g(5) if
g(x) = { -2 x<-3
5 -3< x <6
4x x> 6
A) 6
B) 20
C) 5
D) -10
Answer:D
Step-by-step explanation:
Solve for x if line a and b are parellel. SHOW YOUR WORK PLEASE.
Answer:
Step-by-step explanation:
Internal alternate angles are identical when parallel lines are intersected by a third line
3x + 16 = 5x - 54
-2x = -70
x = 35
please help and give easy to understand explanation.
Answer:
1:2
Step-by-step explanation:
Scale factor of similar figures is usually the ratio of one to the other.
In the diagram given, the scale factor is the length of any side of the smaller figure divided by the length of the corresponding side length of the bigger figure.
Length of smaller figure = 3
Corresponding length of larger figure = 6
Scale factor = smaller figure/larger figure = 3/6
Simplify
Scale factor = ½
I got you :D
6.34 Prenatal vitamins and Autism: Researchers studying the link between prenatal vitamin use and autism surveyed the mothers of a random sample of children aged 24 - 60 months with autism and conducted another separate random sample for children with typical development. The table below shows the number of mothers in each group who did and did not use prenatal vitamins during the three months before pregnancy (periconceptional period). (Schmidt, 2011)
Autism Typical Development Total
No vitamin 111 70 181
Vitamin 143 159 302
Total 254 229 483
(b) Complete the hypothesis test and state an appropriate conclusion.
What is the value of the test statistic for this test? ____ (Please round to two decimal places) What is the p-value associated with this test? _____ (Please round to four decimal places)
The test is to find out if there is a difference in the proportion of the number of autism in two samples differentiated by the use of vitamins.
The test statistic for the test is approximately 2.98
The p-value associated is 0.0028
Reasons:
The given parameters are;
[tex]\begin{array}{|l|c|c|c|}&\mathbf{\underline{Autism}}&\mathbf{\underline{Typical \ Development }}&\mathbf{\underline{Total}}\\No \ vitamin&111&70&181\\Vitamin&143&159&302\\Total&254&229&483\end{array}\right][/tex]
The null hypothesis is H₀; [tex]\hat{p}_1 = \hat{p}_2[/tex]
The alternative hypothesis is Hₐ; [tex]\hat{p}_1 \neq \hat{p}_2[/tex]
Where:
[tex]\hat{p}_1[/tex] = The proportion of the sample that did not use vitamin and had autism
[tex]\hat{p}_2[/tex] = The proportion of the sample that used vitamin and had autism
The test statistics for the difference of two proportions is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}\cdot (1-\hat{p}) \cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
Where;
n₁ = 181, n₂ = 302, [tex]\hat p_1 = \dfrac{111}{181}[/tex], [tex]\hat p_2 = \dfrac{143}{302}[/tex], [tex]\hat p = \dfrac{111 + 143}{181 + 302 } = \dfrac{254}{283}[/tex]
[tex]The\ test\ statistics,\, Z=\dfrac{\dfrac{111}{181}-\dfrac{143}{302}}{\sqrt{ \dfrac{254}{283}\cdot (1-\dfrac{254}{283}) \times \left (\dfrac{1}{181}+\dfrac{1}{302} \right )}} \approx 2.98[/tex]
The test statistic for the test, Z ≈ 2.98
From the Z-table, we have Z > 2.98 = 1 - 0.9986, therefore, given that the
alternative hypothesis [tex]\hat p_1 \neq \hat p_2[/tex], the p-value is 2 × (1 - 0.9986) = 0.0028
The p-value associated with the test is 0.0028
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PLEASE HELP ME PLS ILL MARK BRAINLIEST
SPAMMERS REPORTED
Answer:
f=-1/3+2 1/3
Step-by-step explanation:
cause do slope equation
answer the questin will mark brainlest
what is the sequence of 1. 4. 6. 24. 26
Answer:
Multiply by 4, then add 2
Step-by-step explanation:
1*4 = 4
4 + 2 = 6
6*4 = 24
24 + 2 = 26
and so on...
EASY QUESTION WILL GIVE BRAINLIEST
Sally can paint a room in 6 hours while it takes Steve 5 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
2.727 or 2 8/11
Step-by-step explanation:
5 * 6 / (5 + 6) =
30/11
= 2.72727273 or 2 8/11
For what values of x is f(x) =-2x - 3 increasing? For what
values of x is it decreasing?
Answer:
The value of y is decreasing for all real values of x (-∞,∞).
Step-by-step explanation:
Seeing as we have a simple 1st power equation, the slope will remain the same. So, we solve for slope to see if this equation is for an increasing or a decreasing line.
y = mx + b, where m = the slope of the line
Is the standard slope form of a line, which matches the one given.
so in our equation, f(x) = -2x -3, our m value is -2.
Seeing as -2 is less than 0, the answer is:
The value of y is decreasing for all real values of x (-∞,∞).