answers are at down
Step-by-step explanation:
The perimeter of a triangle is 31 cm. Sides #1 and #2 have equal length, while Side #3 is one centimeter shorter than twice the length of Side #1. Let's determine how long each side is: a. Let x represent the length of Side #1. What essential part of this "let" statement is missing? What is the length of Side #2? Side #3? b. Write a mathematical sentence that states that the perimeter is 31 cm. c. Solve the equation you found in part (b) and determine the length of each side. Be sure to label your answers with the appropriate units.
Answer:
8 cm, 8 cm, 15 cm
Step-by-step explanation:
The given relationships between the sides can be used to write an equation. Let s represent the length of side 1. Then side 2 has a length that is also s. Side 3 has length (2s-1). The perimeter is the sum of the side lengths:
s + s + (2s -1) = 31
4s = 32 . . . . . . . . . . collect terms, add 1
s = 8 . . . . . . . . . . divide by 4
(2s -1) = 2·8 -1 = 15
The side lengths are ...
8 cm8 cm15 cmthe temperature drops from 60 degrees to 38 degrees in 3hrs how man degrees did the temp drop in 1 hr
Answer:
7.3degrees
Step-by-step explanation:
60 -38=22°
3hrs=22°
1hr=?
1×22=22÷3=7.3°
I need help with this as soon as possible!
Answer:
1. -3/6 is negative, because it descends by 3 and goes over by 6.
2. My first answer literally gives the keyword negative, therefore it's a negative line because it has a negative slope.
1. -8/0 is undefined, because there is a rise but there is no run, which also means that it's a:
2. vertical line
1. -5/-10 simplifies to 5/10 or 1/2, which is positive because it rises by 5(or 1) and runs over by 10(or 2).
2. Thus, this means that it's a positive line since it has a positive slope.
1. 0/-2 is zero, because when you actually solve the equation it'll equal 0.
2. This means that it'll have a horizontal line since there is no rise but there is a run only.
Determinar a series of transformations that would map Figure A onto Figure B
Answer:
Reflect across the x axis
translate (x,y) to (x+6 , y)
Step-by-step explanation:
translations
(x - _, y) is to the left
(x + _, y) is to the right
(x, y - _) is down
(x, y +_) is up
What is the sum of the first 90 consecutive odd numbers?
A living room has a circular rug. According to a small tag, the rug has a circumference of 12.56 meters. What is the rug's diameter? Use 3.14 for .
Answer:
4 m
Step-by-step explanation:
The circumference of a circle is the product of π and the diameter.
C = πd
12.56 m = 3.14d
d = 12.56 m/3.14 = 4 m
The rug's diameter is 4 meters.
help me plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Subject Congruent Shapes. (please help asap)
Problem 1
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The Length of PQ such that Triangle JKL is similar to Triangle PQR ~
To make the given triangles similar, we have to get the ratios of each of their corresponding side to be equal to one another.
That is :
[tex]\qquad \sf \dashrightarrow \: \dfrac{PQ}{12} = \dfrac{9}{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: PQ = \dfrac{9}{6} \times 12[/tex]
[tex]\qquad \sf \dashrightarrow \: PQ = {9}{} \times 2[/tex]
[tex]\qquad \sf \dashrightarrow \: PQ = 18 \: units[/tex]
hence, the option C is correct
What is the equation of the line that passes through the point (-6,5)(−6,5) and has a slope of 1/2?
Answer: y=0.5x+8
Step-by-step explanation:
A researcher collated data on americans’ leisure time activities. she found the mean number of hours spent watching television each weekday to be 2.7 hours with a standard deviation of 0.2 hours. jonathan believes that his football team buddies watch less television than the average american. he gathered data from 40 football teammates and found the mean to be 2.3. which of the following are the correct null and alternate hypotheses? h0: mu = 2.7; ha: mu less-than 2.7 h0: mu not-equals 2.7; ha: mu = 2.3 h0: mu = 2.7; ha: mu not-equals 2.7 h0: mu = 2.7; ha: mu greater-than-or-equal-to 2.3
The correct null and the alternative hypotheses are:
[tex]h_0: \mu = 2.7\\\\ h_a: \mu < 2.7[/tex]
What is a hypothesis?A hypothesis is an untested statement in mathematics that is supported by all available data and numerous weaker results.
A "conjecture" is a mathematical statement that has not been proven.
The given data in the problem is;
n is the sample size = 40
μ is the population mean = 2.7
[tex]\rm \sigma[/tex] is the standard deviation= 0.2
[tex]\bar x[/tex] is the sample mean:= 2.3
It is found that the null hypothesis always shows the equality sign.
So for the null hypothesis;
[tex]h_0: \mu = 2.7[/tex]
It is observed that the sample mean is less than the population mean in that case, the alternate hypothesis will be;
[tex]h_a: \mu < 2.7[/tex]
Hence the correct null and the alternative hypotheses are:
[tex]h_0: \mu = 2.7\\\\ h_a: \mu < 2.7[/tex]
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Bob bought a book with 120 pages in it. He read 35% of the book the first night.
How many pages did he read the first night?
Answer: 42 pages
Step-by-step explanation:
120 of 35%
120 x 35/100
42
Answer:
42%
Step-by-step explanation:
35% of 120 = 35% × 120
35 × 120 = 4200
4200 = 42%
42%
find distance (4,7) (-4,-3)
∆x = (4--4)=8
∆y = (7--3)= 10
Step-by-step explanation:
distance is given by;
d² = (∆y)²+ (∆x)²
d = √((∆y)²+ (∆x)²)
d = √((4+4)² + (7+3)²)
d = √((8²) + (10²))
d = √(64+100)
d = √164
d =12.806 units
An angle measures 41.4° less than the measure of its supplementary angle. What is the
measure of each angle?
o and
Answer: 69.3 and 110.7 degrees
Step-by-step explanation:
Fill in the table using this function rule y=-5x-3
Answer:
you are welcome.
Step-by-step explanation:
1) 2
2)-3
3)-8
4)-13
Find the volume of a rectangular prism with a length of 13.4 ft, a width of 10.3 ft and
a height of 5 ft, to the nearest tenth of a cubic foot.
Answer:
690.1
Step-by-step explanation:
13.4 x 10.3 x 5
Answer:
Hey bro. UR answer is 690.1 cubic feet
Step-by-step explanation:
V = whl = 10.3 x 5 x 13.4=690.1
Find the circumference of the object. Use 3.14 or 22/7 for Pi. Round to the nearest hundredth if necessary.
Answer:
[tex]43.96 \text{ in}[/tex]
Step-by-step explanation:
The equation for circumference is:
[tex]C=2\pi r[/tex]
Using the diagram, we can conclude that the radius of the object is 7 in.
We can substitute this value in for the equation (Note that I will use 3.14 for π):
[tex]C=2\pi r\\C=2*3.14*7\\C=14*3.14\\C=43.96\text{ in}[/tex]
Pls explain me how to solve this thing!
Answer:
3 2/3
Step-by-step explanation:
To solve mixed fractions, you multiply the denominator with the whole number and add the number on top and write it in numerator,
Example: 2 1/3
Here, 3 is denominator so multiply by the whole number ahead 3*2=6 and add with numerator, 6+1=7 and finally write on numerator, 7/3
Therefore, 2 1/3 = (3*2+1)/3=7/3
Now,
The given problem is,
6 1/3 - 2 2/3
19/3 - 8/3
11/3
Now you can write this in mixed fraction or leave as it is,
3 2/3
Answer:
3 2/3
Step-by-step explanation:
Leah is a baker at The Cupcake Uptake. The store's recipe for orange sherbet cupcakes calls for 3 cups of sugar for every 8 cups of flour.
If Leah needs to make a batch of orange sherbet cupcakes with 32 cups of flour, how much sugar should she use?
Answer:
12 cups
Step-by-step explanation:
Find the measure of jml
Justin is two years older than one third Tyler's age.
Reese is four years younger than two times Justin's age.
Find Justin and Reese's age if Tyler is 63 years old
Answer:
soo umm i think justin is 23 but reese is..d e d (unless i understood the problem wrong loll)
Step-by-step explanation:
let t be tylers age
let j be justin's age
let r be reese's age
j = 2 + 1/3t
r = 2j - 4
j = 2 + 1/3(63)
j = 2 + 21
j = 23
justin is 23 years old when tyler is 63
r = 2(63) - 4
r = 126 - 4
r = 122
WOAH WHAT-
is reese 122 years old????
Which of the following statements describe the pair of simultaneous equations below:
x-y=16
x/y=5
Two unknown numbers whose sum is 16 and product is 5
Two unknown numbers whose product is 16 and difference is 5
Two unknown numbers whose difference is 16 and product is 5
Two unknown numbers whose difference is 16 and quotient is 5
Answer:
Two unknown numbers whose difference is 16 and quotient is 5
The management of a restaurant with locations all over the country has developed a new hamburger that researchers believe will sell better than the hamburger that is currently sold. Which of the following is the best way to perform a randomized experiment with the goal of determining if this new hamburger will sell better than the hamburger that is currently sold?
Randomly select 40 regions from all regions throughout the country, have the restaurants in those regions stop selling the current hamburger, and start selling the new hamburger to see if sales increase.
Randomly select 40 regions from all regions throughout the country, have the restaurants in those regions stop selling the current hamburger, and start selling the new hamburger to see if sales increase.
Have all the company’s restaurants throughout the country stop selling the current hamburger and start selling the new hamburger to see if sales increase.
Have all the company’s restaurants throughout the country stop selling the current hamburger and start selling the new hamburger to see if sales increase.
Randomly select 40 restaurants, let each one decide if it wants to sell the new hamburger, and compare sales in those restaurants to sales in the restaurants that chose not to sell the new hamburger.
Randomly select 40 restaurants, let each one decide if it wants to sell the new hamburger, and compare sales in those restaurants to sales in the restaurants that chose not to sell the new hamburger.
Have all the restaurants in the western part of the country stop selling the current hamburger and start selling the new hamburger to se
Using sampling concepts, it is found that the best way to perform a randomized experiment with the goal of determining if this new hamburger will sell better than the hamburger that is currently sold is as follows:
Randomly select 40 restaurants, let each one decide if it wants to sell the new hamburger, and compare sales in those restaurants to sales in the restaurants that chose not to sell the new hamburger.
What is sampling?It is is a common statistics practice, when we want to study something from a population, we find a sample of this population.
For example:
I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents.
In this problem, a sample of randomly selected restaurants should be taken to sell the new hamburger, and then be compared with the ones who sell the old hamburger to see if sales increased, hence the correct option is:
Randomly select 40 restaurants, let each one decide if it wants to sell the new hamburger, and compare sales in those restaurants to sales in the restaurants that chose not to sell the new hamburger.
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Write the exponential function.
Answer:
[tex]f(x) = 10*(b)^x[/tex]
Step-by-step explanation:
exponential function : [tex]y=a*(b)^x[/tex]
where a = y intercept and b = factor ( what you multiply by )
looking at the table the y intercept is at (0,10) so a = 10
so we now have y = 10 * (b)^x
to find the factor we simply plug in one of the ordered pairs.
note that the ordered pair chosen does not effect the outcome
i chose (2,250)
we have y = 10 * (b)^x
(x,y) = (2,250)
250 = 10 * (b)^2
divide both sides by 10
25 = b^2
take the square root of both sides
5 = b
the final equation would be f(x) = 10 * (b)^x
What is the mZB?
mzB
O
Answer:
Massimo Zanetti Beverage USA (MZB) is a vertically integrated coffee company
with roasting facilities in Suffolk, Va., and Moonachie, N.J.; four distribution hubs in the US; a coffee plantation in Hawaii; and both retail consumer brands and foodservice distribution.
Answer:
∠ B = 76°
Step-by-step explanation:
The 3 angles in a triangle sum to 180°
sum the 3 angles and equate to 180°
48° + ∠ B + 56° = 180° , that is
∠ B + 104° = 180° ( subtract 104° from both sides )
∠ B = 76°
A college student earns $15,000 working part time at a bookstore. The student pays 110 of the earnings in taxes, spends 25 of the earnings on living expenses, and saves the remainder of the earnings. How much money does the student save?.
The total money that student saves after paying tax and other expenses is $9600
It is given that
Total earning = $15000
Tax = 1%
Spendings on living expenses = 25%
What is the percentage?The percentage is the value per hundred.
Total saving = Total earning- Tax-spendings on living expenses
Total saving = 15000-(11% of 15000 -(25%of 15000)
Total saving = 15000-11*15000/100 - 15000*25/100
Total saviing = 15000-1650-3750
Total saving = $9600
Therefore, The total money that student saves after paying tax and other expenses is $9600.
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HELPP!!! BRIANLEST??!! rn
Answer:
1/5
Step-by-step explanation:
apples and non-organic (3) over total (15)
3/15
simplify!
1/5
The height of a plant over time is shown in the table below. using a logarithmic model, what is the best estimate for the age of the plant when it is 19 inches tall? plant height t, time in months h, height in inches 1 18 2 18.21 3 18.33 4 18.42 5 18.48 6 18.54 10 months 14 months 16 months 28 months
The age of the plant if the height of the plant is 19 inches is 28 months.
What is logarithmic regression?The general equation for logarithmic regression is given by the formula,
y = a+b ln(x)
where y is the dependent variable, x is the independent variable, and a and b are the constants.
Let y be the height of the plant and x be the age of the plant.
If we plug in any two of the points in the equation, to get the value of a and b.
x = 1 and y = 18[tex]18=a+b\rm \ ln(1)\\\\18=a+0\\\\a = 18[/tex]
x = 2 and y = 18.21[tex]18.21=18+b\rm \ ln(2)\\\\0.21=b\ ln(2)\\\\b = 0.3[/tex]
Thus, the logarithmic expression represents the relationship between the age of the plant and the height of the plants is y=18+0.3 ln(x).
Now, if the height of the plant is 19, inches than the age of the plant is,
[tex]y=18+0.3\rm\ ln(x)\\\\19 =18+0.3 ln(x)\\\\x = 28.03\approx 28[/tex]
hence, the age of the plant if the height of the plant is 19 inches is 28 months.
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Answer:
28 months (d)
Step-by-step explanation:
its that because it is
Evaluate the expression
Solution:
Facts about absolute values:
The absolute value of a number is always positive. If the question asks to find the absolute value of a negative integer, the result will be the number's opposite.If the question asks to find the absolute value of a positive integer, the result will be the number itself.We know that:
Given expression: I-12IThis question is asking to find the absolute value of a negative integer. As said above, the result will be the negative integer's opposite.
=> -12's opposite is 12.The absolute value of -12 is 12.
What is 15x+3y=9
y=-5x-3
Answer:
x = 3/5
Step-by-step explanation:
15x+3(5x-3) = 9
15x+15x-9 =9
30x-9 = 9
30x-9+9 = 9+9
30x = 18
x = 18/30
x = 3/5
A basketball coach claims that the team's players commit, on average, no more than 10 fouls per game. Let µ represent the team's average number of fouls per game. Another coach thinks that these players create more fouls. What is the null hypothesis, H0, for this situation?.
The null hypothesis, [tex]\rm H_{0}[/tex] for the given situation in the question, will be
[tex]\rm H_{0}:\mu\leq 10[/tex]
What will be the null hypothesis for the given data?For finding the null hypotheses we will follow the data given in the question
The null hypothesis, [tex]\rm H_{0}[/tex] is the hypothesis of no difference and as such, it always has an equality sign;
=, ≤, ≥
In order to identify the null we lookout for specific keywords that will provide us with information on the type of inequality sign.
In this situation, the coach claims that the average number of fouls committed per game is no more than 10.
Since µ represents the team's average number of fouls per game, this statement can be written in mathematical symbols as;
[tex]\mu\leq 10[/tex]
That is [tex]\mu[/tex] is less than 10 and the average number of fouls committed per game is less than 10.
This statement will be our null hypothesis since it contains an equality sign.
[tex]\rm H_{0}:\mu\leq 10[/tex]
Thus null hypothesis, [tex]\rm H_{0}[/tex] for the given situation in the question, will be
[tex]\rm H_{0}:\mu\leq 10[/tex]
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Answer:
b
Step-by-step explanation:
6. Find the volume of the cone. Use 3.14 for pl and round your answer to the nearest tenth
11 mi
D
5 mi
287.8 mi
869.2 mi
O 1,899.7 mi
57.6 mi
Answer:
D) 7.1 units³
Step-by-step explanation:
V = (3.14)(1.5)²(3/3)
= (3.14)2.25 = 7.1