Answer:
5.4
Step-by-step explanation:
3x + 2x = 5x
27 divided by 5 = 5.4
Substitute into both expressions
3/4(2x-6)-2(1/2x+1)-1+5x
Answer:
Distribute:
=(
3
4
)(2x)+(
3
4
)(−6)+(−2)(
1
2
x)+(−2)(1)+−1+5x
=
3
2
x+
−9
2
+−x+−2+−1+5x
Combine Like Terms:
=
3
2
x+
−9
2
+−x+−2+−1+5x
=(
3
2
x+−x+5x)+(
−9
2
+−2+−1)
11
2
x+
−15
2
Step-by-step explanation:
A carpenter is designing rectangular picture frames to sell at a local craft fair. The frames will be made of wood with a uniform width around the picture, and each frame will have an opening for a 5-inch by 7-inch picture.
What is the area of the unshaded portion of this figure?
Answer:
Step-by-step explanation:
it is d) 162
Answer:
The answer is d 162cm^2
Step-by-step explanation:
Hope this helps :)
multiply (3c+2p)(3c-2p) what is the answer?
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Answer:
9c² -4p²
Step-by-step explanation:
The product of a sum and difference of the same two terms is the difference of their squares:
(3c +2p)(3c -2p) = 3c(3c -2p) +2p(3c -2p)
= (3c)² -6cp +6cp -(2p)²
= (3c)² -(2p)² = 9c² -4p²
hurry please i don’t have much time
Answer:
The answer would be a) 4-2g
Step-by-step explanation:
Multiplying by one half is like dividing by 2!
8/2 = 4
and
4/2 = 2
It can't be b because you can't add 4g+2
It can't be c because you can't completely remove the 8/4
It can't be d because you didn't actually distribute
Determine if the type of sequence of the following terms.
2, 5, 10, 17, 26, 37,
...
O Arithmetic
O Polynomial
O Neither
O Geometric
Question
Answer:
B: polynomial
Step-by-step explanation:
The sequence given is;
2, 5, 10, 17, 26, 37,...
From this sequence, the first difference between consecutive terms is respectively;
3, 5, 7, 9, 11...
We can see that the differences gotten are not constant.
Now, let's find the second difference between the consecutive first differences respectively;
2, 2, 2, 2...
This second difference is constant and thus we can say that the terms form a quadratic sequence of the form;
f(x) = an² + bx + c
Where the quadratic coefficient is two times the second difference.
Thus;
2a = 2
a = 1
And where c is the 0th term.
Thus, this is a quadratic sequence. Since quadratic functions are 2nd degree polynomials, then this is said to be a polynomial sequence.
Find the intercepts and use them to graph the equation. y=x-4
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]y = x -4[/tex]
The intercepts
For y intercept, we have: [tex]x =0[/tex]
[tex]y = x -4[/tex]
[tex]y = 0 - 4[/tex]
[tex]y = - 4[/tex]
For y intercept; we have: [tex]y = 0[/tex]
[tex]y = x -4[/tex]
[tex]0 = x - 4[/tex]
[tex]x = 4[/tex]
So, the intercepts are: (0,-4) and (4,0)
See attachment for graph
Emily has a road map with a key that shows an inch on the map equals 6 miles of actual distance. She will drive on two roads to get to the beach. One road is 5 inches long on the map. The other road is 4 inches long.
Answer:
if you are trying to find the toatal distance it would be 54 miles
Step-by-step explanation:
What are the coordinates for the angle π/4 on tge unit circle
Answer: Both x and y are [tex]\frac{\sqrt{2}}{2}[/tex] which is the same as [tex]\frac{1}{\sqrt{2}}[/tex]
In other words, the point [tex]\left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right)[/tex] is on the unit circle for the angle pi/4 radians. This point is equivalent to [tex]\left( \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)[/tex]
==============================================
Explanation:
The angle pi/4 radians is equivalent to 45 degrees. Draw out a 45-45-90 triangle with hypotenuse 1, and you'll find the congruent legs are each [tex]\frac{1}{\sqrt{2}}[/tex] units long (apply the pythagorean theorem). If you apply the sine and cosine ratios, you'll get the answer shown above.
Recall that
x = cos(theta)y = sin(theta)and also
cos = adjacent/hypotenusesin = opposite/hypotenuseThe pythagorean theorem is a^2+b^2 = c^2.
Need some help not very good at fractions so i need some help
Answer:
3 and 3/4 miles per hour
Step-by-step explanation:
1/5 and 3/4 cross multiply and = 15/4
simplified to 3 and 3/4
HELP PLEASE!!!!!!!!!
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Answer:
B
Step-by-step explanation:
The quadratic is defined for x < 1. The line is defined for x ≥ 1. The only answer choice that has this right is choice B.
help please. thank you
Answer:
y = -2/3 x +2
Step-by-step explanation:
2x+3y = 12
First find the slope by putting it in slope intercept form y= mx+b where m is the slope and b is the y intercept
Subtract 2x from each side
3y = -2x+12
Divide by 3
3y/3 = -2/3x +12/-3
y = -2/3x -4
The slope is -2/3
Parallel lines have the same slope
The only line with the same slope is y = -2/3 x +2
The only line
Solving Linear Equations: Variables on Both Sides I really need this please!
Terry Sheehan owns property assessed at $390,000 and pays a property tax rate of 1.69 per hundred dollars of assessed value. He charges $690 per month rent to cover his
property tax bill. How much more rent does he collect each year above the annual property tax bill?
$2,090
$1.769
$1,854
$1,689
None of these choices are correct.
Answer:
$1689
Step-by-step explanation:
Excess of rent amount over annual property tax bill = annual rent - annual property tax
annual property tax = [(assessed property value / 100) x 1.69]
( $390,000 / 100) x 1.69 = $6591
Annual rent = $690 x 12 = $8280
$8280 - $6591 = $1689
Can someone helllllp? 20 points
Step-by-step explanation: 6 4 17 26
1) BC = 10 twice DC
2) x = 174 360 - 46 - 66 - 74 = x
3) x = 125 360 - 47 - 98 - 90 = x
A pyramid with a volume of 36 cm^3 has a base with a length of 4 cm and a width of 3cm. What is the volume of h?
Answer:
9 = h
Step-by-step explanation:
The formula of finding the volume of a pyramid is:
V = l * w(h / 3)
We know that Volume is 36, base or Length is 4 and the Width is 3, therefore;
36 = 4 * 3 (h/3)
36 = 12 * h/3
36/12 = h/3
3 = h/3
3(3) = h
9 = h
Therefore the height or h of the pyramid is 9cm
Hope this helps!
solve it plssssssssssssss
Answer:
52
length = 12+2=14 feet
P = 2l+2w = (2 x 14) + (2 x 12) = 52
Step-by-step explanation:
Hope that helps! Have a wonderful day :)
Using the net below, find the surface area
of the pyramid.
7in.
4 in.
4 in.
Surface Area
[?] in.2
Enter
Answer:
is it 72
Step-by-step explanation:
2. If your gross biweekly salary is $3,290, then how much is your annual salary?
I
Answer:
Annual Salary = $85,540
Step-by-step explanation:
There are 52 weeks in a year.
If bi weekly salary is $3290
Then you get paid 26 times.
Therefore annual salary = 26 × 3290 =$85,540
Answer:
$78,960 is your annual salary
Step-by-step explanation:
By saying biweekly, if you mean that your gross salary for every two weeks is $3,290, then your annual salary will be roughly about $78,960
There are about 4 weeks in a month and you're getting your gross salary biweekly. So $3,290 times 2 equals $6,580. This is your monthly gross salary.
Now, multiply $6,580 times 12 to find out your annual salary because there are 12 months in a year. $6,580 times 12 equals $78,960. This is your annual salary
Hope this helps
Teresa deposits $800 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 2 years?
Answer:
I'll setup the problem and you can do the computation
Step-by-step explanation:
The formula for simple interest:
I = P*r*t
I = interest
P = deposit
r = interest rate per period
t = number of periods
P = $800
r = 0.02
t = 2
If you have questions, send me a comment
In another right angle triangle the hypotenuse is 53, and the one of the side lengths is 28. Please find the missing side length.
Answer:
Adjacent, b = 45 units
Step-by-step explanation:
Let the length of sides of the triangle be;
Opposite side = aAdjacent side = bHypotenuse side = cGiven the following data;
Hypotenuse, c = 53 units
Opposite, a = 28 units
To find the missing side (adjacent), we would have to apply Pythagorean' theorem.
From Pythagorean theorem;
c² = a² + b²
Substituting into the formula, we have;
53² = 28² + b²
2809 = 784 + b²
Rearranging the equation (collecting like terms), we have;
b² = 2809 - 784
b² = 2025
Taking the square root of both sides, we have;
b = √2025
Adjacent, b = 45 units
f(x) = -3x-3 g(x) =2x^3+2
Find f(6) and g(-3)
usa pothomath (no me acuerdo como se escribe)
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
at least 77 boxes
Step-by-step explanation:
77 boxes x 13 girls will give you a total of 1,001 boxes of cookies sold.
Cook-Easy blender has a mean time before failure of 41 months with a standard deviation of 4 months, and the failure times are normally distributed. What should be the warranty period, in months, so that the manufacturer will not have more than 8% of the blenders returned
Answer:
The warranty period should be of 35 months.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Cook-Easy blender has a mean time before failure of 41 months with a standard deviation of 4 months
This means that [tex]\mu = 41, \sigma = 4[/tex]
What should be the warranty period, in months, so that the manufacturer will not have more than 8% of the blenders returned?
The warranty period should be the 8th percentile, which is X when Z has a p-value of 0.08, so X when Z = -1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.405 = \frac{X - 41}{4}[/tex]
[tex]X - 41 = -1.405*4[/tex]
[tex]X = 35.4[/tex]
Rounding to the nearest integer, 35.
The warranty period should be of 35 months.
a rectangular container of length 40cm and width 36cm was filled with 57600cm of water. find the depth of the water in the container.
Answer:
40 cm
Step-by-step explanation:
57600 is the volume here
Because "was filled with 57600cm of water."
- NOTE : Volume can Never change unless There is a Subtracted amount of water That's Removed36 x 40 x n = 57600
n = 40
I'm not sure if its A.
Answer:
C T= S, U = R
Step-by-step explanation:
Congruent angles means they have the same measurement
R = U
S= T
If 3 out of 10 mammalian cell cultures exposed to ultraviolet (UV) radiation developed chromosomal abnormalities while 9 out of 10 mammalian cell cultures developed chromosomal abnormalities when exposed to UV radiation plus a common NSAID (nonsteroidal anti-inflammatory drug).
a. What is the type of study design?
b. Which parameter (s) can be determined? Calculate it.
c. Explain the results.
Answer:
a) Observational Study
b) Risk in observational study
RR = 9/10/3/10 = 3.0
c) Relative risk when exposed to a common NSAID is 3 out of 10 people
Step-by-step explanation:
A) This is observational study
b) The parameter determined here is the risk in observational study
RR = 9/10/3/10 = 3.0
c) Relative risk of mammalian cell to develop chromosomal abnormalities when exposed to a common NSAID is 3 out of 10 people
Two angles of a triangle measure 22° and 530. What is the measure of the
third angle?
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Answer:
105°
Step-by-step explanation:
The sum of measures of angles in a triangle is 180°. The third angle is ...
180° -22° -53° = 105°
Which of the following equations is of a parabola with a vertex at (4, 0)? y = ( x + 4) 2 y = x2 + 4 y = ( x - 4) 2 y = x2 - 4
Answer:
16 ×6=6 7+6 5 y = 2 + 4 y( 4. 8)y =14
Determine the value of y, if x is -7 y=
∣x∣-5
Answer:
y = 2
Step-by-step explanation:
y = |x| - 5
|?| means an absolute value of a number
in this case x = -7 so the absolute value for -7 would be 7
y = 7 - 5
y = 2