Answer:
A. Linear
Step-by-step explanation:
The equation ([tex]t(x)=x+5[/tex]) is a linear equation. As per its definition, a linear equation is an equation where all terms are to the first degree, meaning that none of the terms have an exponent. The equation, ([tex]t(x)=x+5[/tex]) falls under this category, as none of its terms has an exponent, therefore, the equation is a linear equation.
Mackenzie put $6,000.00 in a retirement account that offers 11% interest compounded annually. She makes no additional deposits or withdrawals. How much interest will she have earned at the end of 6 years? Make sure you round to the nearest hundreth!
Answer:
$39,960
Step-by-step explanation:
11% of 6000
= 11/100 × 6000
=$660
Year 1=$6,660.00
Year 6= $6,660.00 × 6 years
=$39, 960.00
Beetles may be the most varied order of animals. New beetle species are authenticated, completely unpredictably, at a typical rate of one every 7.0 months. A supplement to a guide is planned to be published after 20 new species have been discovered. a) What are the expected value and standard deviation of the number of months (treated as a continuous measure of time) until the supplement is published
Answer:
The mean until the supplement is published is 140 months, while the standard deviation is of 11.8 months.
Step-by-step explanation:
The Poisson distribution is used to solve this question, as we have only the mean. In this distribution, the standard deviation is the square root of the mean.
In this question, we have that:
Species are discovered at a rate of once every 7 months.
A supplement to a guide is planned to be published after 20 new species have been discovered.
a) What are the expected value and standard deviation of the number of months (treated as a continuous measure of time) until the supplement is published?
Mean is: 7*20 = 140 months.
Standard deviation is [tex]\sqrt{140}[/tex] = 11.8 months.
The mean until the supplement is published is 140 months, while the standard deviation is of 11.8 months.
someone help me plzz
Answer:
1/4
Step-by-step explanation:
.
Find the circumference of the circle and round to the nearest tenth
Answer:
The circumference is 45.2yd
Step-by-step explanation:
Given
[tex]d = 14.4[/tex] --- diameter
Required
Determine the circumference
The circumference is calculated as:
[tex]C =\pi d[/tex]
So, we have:
[tex]C =\pi * 14.4[/tex]
Take pi a 3.14
[tex]C =3.14 * 14.4[/tex]
[tex]C =45.216[/tex]
Approximate
[tex]C =45.2yd[/tex]
The product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can
used to find the two numbers and solve it.
Answer:
+/- 2 both work.
Step-by-step explanation:
Remark
To make sure they are even, you need to use 2x and 2x + 2
Equation
2x (2x + 2) = 2x + 2x + 2 + 14 Combine like terms on the right
Solution
2x(2x + 2) = 4x + 16 Remove the brackets
4x^2 + 4x = 4x + 16 Subtract 4x from both sides.
-4x -4x
4x^2 = 16 Divide by 4
x^2 = 16/4
x^2 = 4 Take the square root of both sides
x = +/- 2
Question
Does - 2 work?
2(-2)(-2*2 + 2) = 4(-2)+2 + 14
-4(-4 + 2) = - 8 +2+ 14
-4( - 2) = - 8 + 2+ 14
8 = 8
Yes it does
please help me find x, y, and z
9514 1404 393
Answer:
x = 4y = 45z = 4Step-by-step explanation:
Since this is a right triangle, the acute angles are complementary.
y° = 90° -45°
y° = 45°
__
The two acute angles are congruent, so the triangle is isosceles. That is, x = z. The Pythagorean theorem tells you the relation between the sides of the triangle:
x² + z² = (4√2)²
x² +x² = 4²×2 . . . substitute x for z, since they are equal
x² = 4² . . . . . . . divide by 2
x = 4 . . . . . . . . .take the positive square root
z = 4 . . . . . . . . same as x
__
Additional comment
Whenever you see a 45° angle in a right triangle you know immediately that it is isosceles, and that the ratios of the side lengths are 1 : 1 : √2. This is one of two "special" triangles that have angles and side ratios that are not difficult to remember.
The hypotenuse here is 4√2, so the other sides are 4.
x : z : 4√2 = 1 : 1 : √2 = 4 : 4 : 4√2
x = z = 4
can someone answer this is important
Answer: A = 1350 cm²
Step-by-step explanation:
The surface area of a cube is A = 6 . a²
That means A = 6 . 15²
A = 1350 cm²
Hope that helps
A train travels 65 miles and then stops in a city. Then it travels at a speed of 95 miles per hour before reaching its last stop. Enter a linear model which represents the total distance traveled, d, by the train, as a function of t, the number of hours after leaving the city.
Answer:
Step-by-step exp
Question A researcher wants a 30 milliliter acid solution with a concentration of 8%. She has concentrations of 2% and 11%. How much of each solution must she use to get the desired concentration?
Answer:
The researcher needs 20 milliliters of 11 percent concentrated acid and 10 milliliters of 2 percent concentrated acid.
Step-by-step explanation:
Given that a researcher wants a 30 milliliter acid solution with a concentration of 8%, and she has concentrations of 2% and 11%, to determine how much of each solution must she use to get the desired concentration, the following calculation must be performed:
100 x 0.11 + 0 x 0.02 = 11
90 x 0.11 + 10 x 0.02 = 10.1
80 x 0.11 + 20 x 0.02 = 9.2
70 x 0.11 + 30 x 0.02 = 8.3
66.666 x 0.11 + 33.333 x 0.02 = 8
30 x 0.6666 = 20
Therefore, the researcher needs 20 milliliters of 11 percent concentrated acid and 10 milliliters of 2 percent concentrated acid.
7.) What is the base of the triangle with height of 7 and area of 49?
Answer:
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Area of tri= bxh/2
you need=bx7/2=49
49x2=98
that means 7 x b=98
98/7=14
only need help on number 1
Answer:
It can't
Step-by-step explanation:
I cannot represent values of a funcion because if you convert all the sets into fractions, (if simplified) then they will not be the same fraction. This is needed if you want a function that works.
The fractions are: 1/7, 3/16, 5/19, 1/4, 9/28. if simplified, then these are different fractions.
Additionally, you can see that it has both 5/19 and 5/20. (1/4).
If this was a working function it would yield the same output every time you put in 5 as an input.
Therefore, it cannot represent a function.
HAVE A GREAT DAY :D
Find the measure of 6
Answer:
6=101°{alternet exterior angle}
hope it helps.
There are 4 boys and 2 girls from the 7th grade and 3 boys and 5 girls from the 8th grade on the soccer team. The coach will pick one captain from each grade. What is the probability that he will pick a boy from the 7th grade and a girl from the 8th grade?
Answer:
5/12
Step-by-step explanation:
P(b,7) = 4/6
P(g,8) = 5/8
4/6 x 5/8 = 20/48 (or 5/12 reduced)
Round 0.766 to the nearest 10th
Answer:
0.766 rounded to the nearest tenth = 0.8
Step-by-step explanation:
To round 0.766 to the nearest tenth consider the hundredths’ value of 0.766, which is 6 and equal or more than 5. Therefore, the tenths value of 0.766 increases by 1 to 8.
Answer:
The answer is 0.8 trust me
HELP MEEE
Manny had to guess a chosen number
from 5 to 10 (including 5 and 10) What's the
probability he'll choose the correct number?
Answer:
1/6
Step-by-step explanation:
Since there are 6 numbers in the possibilities and he only gets to choose once it will be 1/6
Solve the system by substitution
The ratio of 8:5=(?)%
Answer:
The ratio of 8:5 = 160%
Step-by-step explanation:
1. Divide the first number by the second number
2. Multiply by 100 to convert to a percentage
Enter a linear equation that models the situation.
A drugstore sells pens for $1.30 each and notebooks for $3 each. The owner would like to sell $35 of
these items each day. Use p for the number of pens and n for the number of notebooks.
A linear equation that models the situation is
= 35.
Answer: 1.30p + 3n = 35
Step-by-step explanation:
Help ASAP. 25 Points.
Find the length of the legs.
Answer:
Yellow side=6 units
Green side=6 units
Step-by-step explanation:
What is the value of the expression below?
64^1/3
Answer:4
Step-by-step explanation:
Just did this question
i just need this solved please
2x+(7x+4)=3x-22
Answer:
All I got is this I'm sorry
Step-by-step explanation:
Exact form -13/3
Decimal form -4.3
Mixed -4 1/3
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of seven days. a. In words, define the random variable X. a. The duration of a criminal trial b. X ~ _N____(___21__,__7___) c. If one of the trials is randomly chosen, find the probability that it lasted at least 24 days. Sketch the graph and write the probability statement.
Answer:
0.33411
The probability that a particular criminal trial lasted atleast 24 days is 0.33411
Step-by-step explanation:
The random variable X is normally distributed with a mean of 21 and standard deviation of 7
;
X ~ N(μ = 21 ; σ = 7)
X ~ N(21, 7)
Probability that a trial lasted atleast 24 days :
P(X ≥ 24) :
The standardized score :
Z = (x - μ) / σ ; (24 - 21) / 7 ; 3 / 7 = 0.4286
Hence,
P(Z ≥ 0.4286) = 0.33411
The probability that a particular criminal trial lasted atleast 24 days is 0.33411
Use the figure below and 2-3 sentences to explain the following:
The side opposite angle E is side ____?
The side adjacent to angle E is side ____?
The hypotenuse is side ____?
Answer:
See below
Step-by-step explanation:
The side opposite angle E is side e (DF)
The side adjacent to angle E is side d (EF)
The hypotenuse is side f (ED)
1) Solve for r: 4= r/8
2) What symbol makes the statement true? 27×(36_6)=162
3) Solve for h: 19h=15
Answer:
1) r = 32
2) symbol is '÷'
3) h = 15/19
Step-by-step explanation:
Is this correct? , if not can u help me
Answer:
Step-by-step explanation:
Yes that is absolutely correct according to me answer A
Answer: Yes, you are correct.
Step-by-step explanation:
Find the compound amount on an investment of $8,500 at 7.5% compounded daily for 3.5 years.
Answer:
Accrued Amount: 10955.51, Total Interest: 2455.51
Step-by-step explanation:
A = P(1+r/n)nt
CI = A-P
Where,
CI = Compounded interest
A = Final amount
P = Principal
t = Time period in years
n = Number of compounding periods per year
r = Interest rate
Measurements of a Circle
(Giving correct answer brainliest)
Answer:
B. [tex] \frac{9}{20}\pi [/tex]
Step-by-step explanation:
Central angle [tex] \theta = 81\degree [/tex]
Radius (r) = 1 unit
[tex] l(\widehat {HJ}) = \frac{\theta}{360\degree} \times 2\pi r[/tex]
[tex] l(\widehat {HJ}) = \frac{81\degree}{360\degree} \times 2\pi r[/tex]
[tex] l(\widehat {HJ}) = \frac{81}{360} \times 2\pi (1)[/tex]
[tex] l(\widehat {HJ}) = \frac{9}{40} \times 2\pi [/tex]
[tex] l(\widehat {HJ}) = \frac{9}{20}\pi [/tex]
The diameter of a tree trunk is 23 in. what is the circumference?
Answer:
72.2566311
Step-by-step explanation:
Circumference = 2πr
We don't have the radius, but we do know that half of the diameter is the radius, so 23/2 = 11.5. r = 11.5
Now, plug the radius into the equation:
2π(11.5)
Solve:
2π(11.5) = 72.2566311
someone help me pls i will give brainlist
write only answers
I hope it's clear enough.
square root of 10x^3yz5n21
Answer: 5
Step-by-step explanation: