Answer:
45 is the Answer
Step-by-step explanation:
Hope its helpful
You work as an assistant to a carpenter who designed the tabletop below. He tells you that each shape is a right triangle, and each is the same size. You now need to calculate the area of one triangle so that you can begin building the tabletop. What is the area of each triangle in square inches? 28 1/4" and 20"
Answer:
A. 200 square inches
Step-by-step explanation:
First, use Pythagorean Theorem to find the base of each triangle.
[tex]a^2+b^2=c^2\\20^2+b^2=(28\frac{1}{4})^2\\400+b^2=798.0625\\b^2=398.0625\\b=\sqrt{398.0625}\\b=19.9515037[/tex]
Finally, use the area of a triangle formula to find the area of each triangle.
[tex]A=\frac{1}{2}bh\\A=\frac{1}{2}(19.9515037)(20)\\A=199.515037[/tex]
Therefore, the area of each triangle is approximately 200 in².
The area of each triangle in square inches is 200 square inches.
What is the area of triangle?The area of triangle is defined as the region enclosed by its perimeter or the three sides of triangle.
Mathematically,
Area of triangle = 1/2(base*height)
Now given that,
Base of the triangle, B = 20''
Hypotenuse of the triangle, H = 28(1/4)'' = 28.25''
So, Height of the triangle, P = [tex]\sqrt{H^2 - B^2}[/tex]
or, Height of the triangle, P = [tex]\sqrt{28.25^2 - 20^2}[/tex]
or, Height of the triangle, P = [tex]\sqrt{398.0625} }[/tex]
or, Height of the triangle, P = 19.95 inches
Finally, use the area of a triangle formula to find the area of each triangle.
Area of triangle = 1/2*(BasexHeight)
⇒Area of triangle = 1/2*(20x19.95)
⇒Area of triangle = 1/2*399
⇒Area of triangle = 199.5 square inches
or, Area of triangle ≈ 200 square inches.
Hence, The area of each triangle in square inches is 200 square inches.
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Functions f and g are defined for all real
numbers. The function f has zeros at -2, 3, and 7:
and the function g has zeros at -3, -1, 4, and 7.
How many distinct zeros does the product
function f g have?
9514 1404 393
Answer:
6
Step-by-step explanation:
The number of distinct zeros in the product will be the union of the sets of zeros. Duplicated values are not distinct, so show in the union of sets only once.
F = {-2, 3, 7}
G = {-3, -1, 4, 7}
F∪G = {-3, -2, -1, 3, 4, 7} . . . . . . a 6-element set
The product has 6 distinct zeros.
_____
As you may notice in the graph, the duplicated zero has a multiplicity of 2 in the product.
Find the solution of the exponential equation, as in Example 1. (Enter your answers as a comma-separated list.)
e1 − 3x = e4x − 3
x=_______
Answer:
Hello,
Very bad written!!!
Step-by-step explanation:
[tex]e^{1-3x}=e^{4x-3}\\\\1-3x=4x-3\\\\7x=4\\\\\boxed{x=\dfrac{4}{7} }\\[/tex]
log_c(A)=2
log_c(B)=5,
solve log_c(A^5B^3)
We know that [tex]\log_a(bc)=\log_a(b)+\log_a(c)[/tex].
Using this rule,
[tex]\log_c(A^5B^3)=\log_c(A^5)+\log_c(B^3)[/tex].
We also know that [tex]\log_c(a^b)=b\log_c(a)[/tex].
Using this rule,
[tex]\log_c(A^5)+\log_c(B^3)=5\log_c(A)+3\log_c(B)[/tex]
Now we know that [tex]\log_c(A)=2,\log_c(B)=5[/tex] so,
[tex]5\cdot2+3\cdot5=10+15=\boxed{25}[/tex].
Hope this helps :)
You $12 for a day, and plan to spend your time feeding the Lorakeets. $2 per feed (f), and drinking ICEE's (I), $4 each. What is the equation for the total number f times you can feed the lorakeets and icees you can drink with your total amount of money you brought?
Answer: 85 i think
Step-by-step explanation:
3. A toy car is traveling with a velocity of 4 m/s and has a mass of 1120g. What is the car's
kinetic energy?
1. On the set of axes below, graph . State the roots of
Is this question complete?
What is the value of log,1252
PERE
3
5
Ο ΟΟΟ
15
Mark this and return
Save and Exit
Next
This graph describes which of the expressions given?
Researchers wanting to assess skin irritation associated with a new sunscreen developed for those with photosensitivity. They randomly sample 240 men with a history of photosensitivity and 240 men without a history of photosensitivity and ask them to apply the cream and report the level of skin irritation they experience after spending 20 minutes in the sun using a scale of 0-10. The average skin irritation score for the group with a history photosensitivity was 1.2 and the average skin irritation score for the group without a history of photosensitivity was 1.4. The Levene's test for equality of variances had a p value of 0.08. You know this means:
A. The researchers should report the t test results assuming equal variances. Select The researchers should report the t test results NOT assuming equal variances. as your answer
B. The researchers should report the t test results NOT assuming equal variances.
C. The researchers should reject the null hypothesis and report there is a difference in the average skin irritation score.
D. The researchers should fail to reject the null hypothesis and conclude there is NOT a difference in the average skin irritation score.
Answer:
Blablabka
Step-by-step explanation:
Blablabla
You are playing a version of the roulette game, wherethe pockets arefrom 0 to 12 and even numbers are red and odd numbersare black (0 isgreen). You spin 3 times and add up the values yousee. What is theprobability that you get a total of 17 given on thefirst spin youspin a 2
Using the concept of probability, it is found that there is a 0.0592 = 5.92% probability that you get a total of 17 given on the first spin you spin a 2.
-------------------------------------
A probability is the number of desired outcomes divided by the number of total outcomes.Since you spin a 2 on the first trial, the probability desired is equivalent to the probability of finding a sum of 15 in the next two trials.-------------------------------------
In each trial, there are 13 possible outcomes(pockets numbered from 0 to 12), so the total number of outcomes is:
[tex]T = 13^2 = 169[/tex]
-------------------------------------
The desired outcomes are those who result in a sum of 15. Thus, they are:
(3,12), (4,11), (5,10), (6,9), (7,8), (8,7), (9,7), (10,5), (11,4), (12,3).That is, 10 desired outcomes, so [tex]D = 10[/tex].-------------------------------------
Thus, the probability is:
[tex]p = \frac{D}{T} = \frac{10}{169} = 0.0592[/tex]
0.0592 = 5.92% probability that you get a total of 17 given on the first spin you spin a 2.
A similar problem is given at https://brainly.com/question/21444373
URGENT!! (Picture included)
Answer:
-85
Step-by-step explanation:
You can use calculator for this question
Please help me please please help ASAP
Step-by-step explanation:
70 + 45 = 115
180 - 115 = 65
angle c = 65
use sohcahtoa
cos angle = adjacent
hypotenuse
cos 65 = 2.5
b
b cos 65 = 2.5
use the calc for further answers
hope that helped
if 10x=1/0.001 find the value of x
[tex]\\ \sf\longmapsto 10x=\dfrac{1}{0.001}[/tex]
Turn over the decimal[tex]\\ \sf\longmapsto 10x=\dfrac{1}{\dfrac{1}{1000}}[/tex]
[tex]\\ \sf\longmapsto 10x=1000[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{1000}{10}[/tex]
[tex]\\ \sf\longmapsto x=100[/tex]
Suppose a professional baseball player hit 55 home runs his first season, 58 his second,
and 69 his third. How many home runs would he need to hit in the current season so that
his average for the 4 years is no less than 59?
Answer:
About 54
Step-by-step explanation:
To work backwards from average, you need to multiply the average by the total number of cases, which is 4, since there are 3 current cases/seasons and you want the 4th.
59 * 4 = 236
You then subtract the total home runs that you know of from 236.
236 - 55 - 58 - 69 = 54
To find average, you are adding to the total and then dividing by the number of groups, which is essentially mean (mean is basically the average).
(x+7)(x-6) Find the product.ddddddddddddd
Answer:
x^2 + x - 42
Step-by-step explanation:
use the distributive property:
(x+7)(x-6) = x^2 + x - 42
Answer: x^2 + x - 42
Step-by-step explanation:
please help me with this on the image
Answer:
we will then have to also multiply the y with three so the answer is B and that's ( ×3)
THE DISTANCE OF A PARTICLE FROM
IT'S STARTING POINT AT TIME T
SECONDS IS GIVEN BY S= 80T - 1672.
WHAT IS THE VELOCITY OF THE
PARTICLE AFTER 2 SECONDS?
Answer:
the answer will be 3.........
You randomly select one card from a 52-card deck. Find the probability of selecting the 9 of spades or the 3 of clubs.
The probabilitiy is ___.
(Type an integer or a fraction. Simplify your answer.)
Answer:
2/52=1/26
Step-by-step explanation:
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!
1106.666667 To the nearest whole number
Answer:
1107.
You are rounding up because the number in the tenths slot is over 5.
An Experiment to investigate the relation between two physical quantities was performed where 10 data pairs were collected. You are to perform regression analysis to describe the relation between the two quantities using a polynomial. What are the possible values for the order of that polynomial?
a) from 0 to 10
b) from 1 to 9
c) from 1 to 10
d) Any integer
Answer:
d). Any Integer.
Step-by-step explanation:
Regression analysis is characterized as the statistical method that is employed to determine the association between a dependent, as well as, the independent variable(one or more). It
As per the question, the probable values for the arrangement of a polynomial would be 'any integer' in order to determine the relationship among the different variables(the two physical quantities). Since a regression analysis helps in knowing the factors that influence the other and the factors that do not affect much in order to reach a reliable conclusion. Thus, any of the values can be examined to examine the association among them. Hence, option d is the correct answer.
Write the point-slope form of an equation of the line through the points (-4, 7) and (5,-3).
0
A. Y+4= -1; (1 – 7)
B.Y-5 = = 10 (x+3)
OC. y +3 = = 10 (2+5)
D. y - 7= -5° (x+4)
Answer:
Step-by-step explanation:
There are two possible equations, but neither matches the the choices you listed. The choices seem to have several typographical errors.
Point-slope form of an equation of the line through the points (-4, 7) and (5,-3) is y - 7 =(-10/9)(x + 4).
How to estimate the point-slope form of an equation of the line through the points (-4, 7) and (5,-3)?Slope
[tex]$= \frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]
= (-3 - 7) / (5 - (-4))
= -10/9
The point-slope equation for the line of slope -(10/9) that passes through the point (5, -3).
y + 3 = (-10/9)(x - 5)
Point slope equation for the line of slope -(10/9) that passes through the point (-4, 7)
Point-slope form of an equation of the line through the points (-4, 7) and (5,-3) is y - 7 = (-10/9)(x + 4).
Therefore, the correct answer is y - 7 = (-10/9)(x + 4).
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Express 5 cm in metre and kilometre.in decimals........................ ncert maths class 7 pls
will be marked as brainliest trust me
Answer:
Converting into metre (1m=100cm)= 5/100=0.05m.. Converting into km. (1km=100000cm). so 5 cm=5/100000=0.00005km.
Answer:
5cm in meters = 0.05 metre
5cm in kilometres = 0.00005km
I need help with this please
Answer:
its the 1st one
Step-by-step explanation:
they need to know what the Total
Answer:
English; 12
French; 9
Both; 7
Step-by-step explanation:
28 - 19 = 9, therefore there are only 9 students who can only speak French
28 - 16 = 12, therefore there are only 12 students who can only speak English
12 + 9 = 21, then subtract 21 from the 28 total students
28 - 21 = 7, therefore there are only 7 students who can speak both
Probability of picking a blue marble and a yellow marble when 2 marbles are picked (without replacement) from a bag containing 4 blue and 4 yellow marbles
Answer:
9/49
Step-by-step explanation:
that is the procedure above
Determine whether the following relationship is a linear inequality or not
1. Y < 3
2. x ≥ 6
3. x² > -3
4. x -3 > 1/2
5. xy + 5 ≤ 7
Answer:
What is a linear inequality ? A linear inequality has the same condition as a linear equality, but instead of the equal sign, we have for example this one ≤ wish means less than or equal to.
But what are the condition of a linear equality ? There are many ways of writing linear equations but they usually have constants (like "2" or "c") and must have simple variables (like "x" or "y") BUT the variables (x and y) on a linear equation do NOT have Exponents (like the 2 in x²) and square roots,
1. y < 3
Yes, this is a linear inequation. Frequently, the term linear equation refers implicitly to the case of just one variable (here y).
2. x ≥ 6
Yes.
3. x² > - 3
No, remember the rule the variable (here x) must not have exponents.
4. x - 3 > 1/2
Yes.
5. xy + 5 ≤ 7
This one is nice. If both x and y are variables then the answer is no, it's not a linear inequation. Why ?The linear equation is a sum of terms like "Ax" where x is a variable, and A is a number or a constant. On the other hand if x or y was a constant (like e or π), it could be treated as a number and the whole expression would become linear.
You can also have fun and write :
xy ≤ 2
for y > 0 we write:
x ≤ 2/y
x ≤ 2[tex]y^{-1}[/tex]
and then simply say exponents are not allowed so not a linear inequation.
Trên tập hợp số thực cho quan hệ tương đương T như sau: m, n : mTn ⇔ m^3-n^3= m-n . Tìm lớp tương đương của 0 và lớp tương đương của 2021
Answer:
where are u from bro?
Step-by-step explanation:
I didn't understand your language.
A bacteria culture grows with a constant relative growth rate. After 2 hours there are 400 bacteria and after 8 hours the count is 50,000.
(a) Find the initial population. P(0) = 80 )ãbacteria
(b) Find an expression for the population after t hours. r(t) = 180( 125(6 Plt) =180(125(2))-
(c) Find the number of cells after 7 hours. (Round your answer to the nearest integer.) P(7)=72.358- bacteria
(d) Find the rate of growth after 7 hours. (Round your answer to the nearest integer.) P(7) 2x bacteria/hour
(e) When will the population reach 200,000? (Round your answer to one decimal place.) hours
Answer:
a) P(0) = 80
b) [tex]P(t) = 80(2.2361)^t[/tex]
c) 22,363 cells.
d) The rate of growth after 7 hours is of 18,000 bacteria per hour.
e) 9.7 hours.
Step-by-step explanation:
A bacteria culture grows with a constant relative growth rate.
This means that the population is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
After 2 hours there are 400 bacteria and after 8 hours the count is 50,000.
This means that in 6 hours, the population went from 400 bacteria to 50,000 bacteria. We use this to find r. So
[tex]50000 = 400(1+r)^6[/tex]
[tex](1+r)^6 = \frac{50000}{400}[/tex]
[tex](1+r)^6 = 125[/tex]
[tex]\sqrt[6]{(1+r)^6} = \sqrt[6]{125}[/tex]
[tex]1 + r = 125^{\frac{1}{6}}[/tex]
[tex]1 + r = 2.2361[/tex]
So
[tex]P(t) = P(0)(2.2361)^t[/tex]
(a) Find the initial population. P(0)
We have that P(2) = 400. We use this to find P(0). So
[tex]P(t) = P(0)(2.2361)^t[/tex]
[tex]400 = P(0)(2.2361)^2[/tex]
[tex]P(0) = \frac{400}{(2.2361)^2}[/tex]
[tex]P(0) = 80[/tex]
So
[tex]P(t) = 80(2.2361)^t[/tex]
(b) Find an expression for the population after t hours.
[tex]P(t) = 80(2.2361)^t[/tex]
(c) Find the number of cells after 7 hours.
This is P(7). So
[tex]P(7) = 80(2.2361)^7 = 22363[/tex]
22,363 cells.
(d) Find the rate of growth after 7 hours.
We have to find the derivative when t = 7. So
[tex]P(t) = 80(2.2361)^t[/tex]
[tex]P^{\prime}(t) = 80\ln{2.2361}(2.2361)^t[/tex]
[tex]P^{\prime}(7) = 80\ln{2.2361}(2.2361)^7 = 18000[/tex]
The rate of growth after 7 hours is of 18,000 bacteria per hour.
(e) When will the population reach 200,000?
This is t for which [tex]P(t) = 200000[/tex]. So
[tex]P(t) = 80(2.2361)^t[/tex]
[tex]200000 = 80(2.2361)^t[/tex]
[tex](2.2361)^t = \frac{200000}{80}[/tex]
[tex](2.2361)^t = 2500[/tex]
[tex]\log{(2.2361)^t} = \log{2500}[/tex]
[tex]t\log{2.2361} = \log{2500}[/tex]
[tex]t = \frac{\log{2500}}{\log{2.2361}}[/tex]
[tex]t = 9.7[/tex]
So 9.7 hours.
Ellen makes $20 per hour in her job as a kiental assistant. She works 8 hours per day and 40 hours per week. How much does Ellen make in a day before taxes?
Ellen makes $20 per hour in her job as a kiental assistant. She works 8 hours per day and 40 hours per week. How much does Ellen make in a day before taxes?
Answer:-Money earned by Ellen per hour = $20.
Number of hours she works per day = 8 hours.
Money she'll make per day = 20×8 = 160
Hence, the answer is $160.
