Answer:
Step-by-step explanation:
1) 6(3+9)=6(12)=72
2) 2(8-4)=2(4)=8
3) 5(6x+9)=30x+45
4) 4(3k-2)=12k-8
5) 1/2(8-6j)=8/2-6/2j=4-3j
6) 6(4c-2)+10=24c-12+10=24c-2
7) 6(3b+7)+5b=18b+42+5b=23b+42
8) 3x+2(4x+7)=3x+8x+14=11x+14
9) -2(-2x+4)+4x=4x-8+4x=8x-8
10) 14x-5(-2x+3)=14x+10x-15=24x-15
If you feed your puppy 8 ounces of dog food twice a day how many pounds of food do you feed in one day
Answer:
u add 8+8 or 8x2 and you get 16 onces then convert that to pounds and you get 1 pounds bc 16 onces = a pound
step-by-step explanation:
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Can someone explain this ???
The intersection point of the circle and the line is at-(2.68, 7.36).
What is defined as the equation of circle?A circle is a confined curve drawn from a fixed point known as the centre, with all points on the curve sharing the same distance as from centre point. (x-h)² + (y-k)² = r² is the equation for a circle with (h, k) centre and r radius.For the given question;
The equation of the line is; y = 2x + 2 ......eq 1
The centre of the circle (h,k) = (0,2)
The radius of the circle = 6 units.
This is the equation's standard form.
(x - h)² + (y - k)² = r²
Put the values in the formula;
(x - 0)² + (y - 2)² = r²
(x)² + (y - 2)² = r²
Put the value of y from eq 1.
(x)² + (2x + 2 - 2)² = 6²
(x)² + (2x)² = 36
Simplifying;
x = ±6/√5
But the intersection must be in first quadrant.
x = 6/√5 = 2.68
Put the value of x in eq 1.
y = 2x + 2
y = 2×2.68 + 2
y = 7.36
Thus, the coordinates of the intersection of the line and the circle are (2.68, 7.36).
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Given the following functions:
f(x)=x^2
g(x)=x−3
Find the composition of the two functions and show your process:
f(g(x))
Answer:
\(x^2-6x+9\)
Step-by-step explanation:
Say you have a function \(f(x)=x+1\). If you wanted to find f(3), you would replace the number in the parentheses, in this case 3, with x, to get \(f(3)=3+1=4.\) When combining functions, you should do the same thing.
Here, we have \(f(x)=x^2.\) We want to find f(g(x)). So, you should replace x in the function f(x) with the function g(x). \(g(x)=x-3.\) So, f(g(x)) would equal \((x-3)^2\), which equals \(x^2-6x+9\).
Hope this helps!
What is 39,182 written in expanded form?
3 x 10,000 + 9 x 1,000 + 1 x 100 + 8 x 10 + 2 x 1
3 x 10,000 + 9 x 1,000 + 8 x 100 + 1 x 10 + 2 x 1
3 x 30,000 + 9 x 9,000 + 1 x 100 + 8 x 80 + 2 x 2
3 x 10,000 + 9 x 1,000 + 1 x 100 + 2 x 10 + 8 x 1
Answer:
your answer is the first one : 3 x 10,000 + 9 x 1,000 + 1 x 100 + 8 x 10 + 2 x 1
Step-by-step explanation:
Hope this helps
f
3
+ 22 = 17
- 22 - 22 +
43
f = -5
3
= 3(-5)
f =
Subtract 22 on both sides.
Multiply by 3 on both sides.
On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.
What is BODMAS?
BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.
\(f/3 +22 = 17\)
\(f/3 +22 -22 = 17 -22\) Subtracting the same value from both sides keeps the equation equal.
Then simplify. The \(+22 and -22= 0\) They "cancel" \(17-22 = -5\)
\(f/3 = -17 f/3\) is now isolated-- by itself-- in the equation.
If we have to solve f, the next step we to take is to multiply on the both sides by 3.
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Find the measure of angle A.
A
8x + 2
10x - 4
38°
Answer:
8x + 2 + 10x - 4 + 38 = 180
18x + 36 = 180
18x = 144, so x = 8
Angle A measures 8(8) + 2 = 64 + 2 = 66°.
Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
if i got a F this quarter but all passing grades last quarters yall think i would have summer school ?
Answer:
I dont know
Step-by-step explanation:
Answer:
Maybe. But look at me, I have two F's and all D's in the last quarter when I had A's a B's and one C for the 1st, 2nd, and 3rd quarter. I am going to get kicked out if I have ONE F. Yay.... :,)
Step-by-step explanation:
Find the distance between the endpoints (7,8) (4,2) A.10.8 B.2.2 C.6.7 D.14.9
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{6.7}}}}}\)
Option C is the correct option.
Step-by-step explanation:
Let the points be A and B
Let A ( 7 , 8 ) be ( x₁ , y₁ ) and B ( 4 , 2 ) be ( x₂ , y₂ )
Finding the distance between these points
\( \boxed{ \sf{distance \: = \: \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}\)
\( \dashrightarrow{ \sf{ \sqrt{ {(4 - 7)}^{2} + {(2 - 8)}^{2} } }}\)
\( \dashrightarrow{ \sf{ \sqrt{ {( - 3)}^{2} + { (- 6)}^{2} } }}\)
\( \dashrightarrow{ \sf{ \sqrt{9 + 36}}} \)
\( \dashrightarrow {\sf{ \sqrt{45} }}\)
\( \dashrightarrow{ \sf{6.7 \: \: units}}\)
Hope I helped!
Best regards! :D
What is the surface area of the cylinder? Express the answer in terms of Pi?
Cylinder. Diameter 8 centimeters. Height 18 centimeters
a
304π cm2
b
792π cm2
c
152π cm2
d
176π cm2
Answer:
176π cm2
Step-by-step explanation:
Question 5
Find the interest rate for a principal of $6570 and charged $30105 in interest for 12 years.
The Formula is
I
PT
x 100
Take the interest divide by the principal
then divide by the years
then times by 100
Round your answer to 1 decimal place.
Answer:
R=i
Step-by-step explanation:
R=i×100÷p×t
r=30105×100÷6570×12
r=3010500÷78840
r=38.18
Solve the inequality and solution on a graph.
2m + 8 < -16
Answer:
m < -12
Step-by-step explanation:
2m + 8 < -16
(-8)
2m < -24
(divide both sides by 2) (2m÷2) (-24÷2)
m < -12
NO LINKS!!
A consulting engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour. A customer received a bill for $425 fir a certain job. If the assistant worked 5 hours less than the engineer, how much time did each bill on the job?
Engineer: _____ hr
Assistant: ______ hr
Answer:
Engineer: 9.5 hr
Assistant: 4.5 hr
Step-by-step explanation:
To solve this problem, we can create and solve a system of equations.
Define the variables:
Let x be the number of hours the engineer worked.Let y be the number of hours the assistant worked.Given the engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour, and a customer received a bill for $425 for a certain job:
\(40x+10y=425\)Given the assistant worked 5 hours less than the engineer:
\(y=x-5\)Therefore, the system of equations that represents the problem is:
\(\begin{cases}40x+10y=425\\ \quad \qquad \;\;\;y=x-5\end{cases}\)
Substitute the second equation into the first equation to eliminate y:
\(40x+10(x-5)=425\)
Solve the equation for x to find the number of hours the engineer worked:
\(\begin{aligned}40x+10(x-5)&=425\\40x+10x-50&=425\\50x-50&=425\\50x&=475\\x&=9.5\end{aligned}\)
Therefore, the engineer worked 9.5 hours.
Substitute the found value of x into the second equation and solve for y to find the number of hours the assistant worked:
\(\begin{aligned}y&=x-5\\y&=9.5-5\\y&=4.5\end{aligned}\)
Therefore, the assistant worked 4.5 hours.
why do the hands on the clock form an angle?
Answer:
The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)
I hope this helps you!
3. How many different numbers can be created by selecting 4 of the digits from the number 8712395?
840 different numbers can be created selecting 4 of the digits from the number
How many different numbers can be created selecting 4 of the digits from the numberFrom the question, we have the following parameters that can be used in our computation:
Number = 8712395
Digits = 4
The count of digits in the number is 7
Using the above as a guide, we have the following:
First digit = any of the 7second digit = any of the remaining 6Third digit = any of the remaining 5Fourth digit = any of the remaining 4So, we have
Numbers = 7 * 6 * 5 * 4
Evaluate
Numbers = 840
Hence, 840 numbers can be formed
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Add 5/8 + 5/8 . Simplify the answer and write as a mixed number
Answer:
1 ¼
Step-by-step explanation:
5/8 + 5/8
= ( 5 + 5 ) / 8
= 10/8
= 5/4
= 1 ¼
If the record number of hotdogs eaten is
75 hotdogs in 10 minutes:
a) How many hotdogs are eaten per
minute?
b) At that rate, how many hotdogs did
the champion eat in 4 minutes?
Answer:
1. 7.5 you just do 75 / 10
2. 30 you just do 7.5 x 4
Hope this helps! :)
Have a blessed day/night !! <3
Happy Holidays!! <3
The distance between -7 and 2 on the number line is _____. 5 9 -5 10
Solve the following equation for w
3w-7= √8w-7
Step-by-step explanation:
to\(3w - 7 = \sqrt{8w - 7} \\ {(3w - 7)}^{2} = ({ \sqrt{8w - 7} })^{2} \\ 9 {w}^{2} - 42w + 49 = 8w - 7 \\ 9 { w}^{2} - 42w - 8w + 49 + 7 = 0 \\ 9 {w}^{2} - 50w + 56 = 0 \\ (9w - 14)(w - 4) = 0 \\ w = \frac{14}{9} \: or \: w = 4\)
to make sure the answer
substitute w = 14/9 and w = 4 to the equation.
if w = 14/9
\(3w - 7 = \sqrt{8 w - 7} \\ 3 \times \frac{14}{9} - 7 = \sqrt{8 \times \frac{14}{9} - 7} \\ - \frac{ 7}{3} = \frac{7}{3} \)
we know that if we substitute w = 14/9, the answer is not the same.
if w = 4
\(3w - 7 = \sqrt{ 8 w - 7 } \\ 3 \times 4 - 7 = \sqrt{8 \times 4 - 7} \\ 5 = 5\)
if we substitute w = 4 the answer is the same.. we can conclude the the answer of 3w - 7 = √8w - 4 is 4
#CMIIWIs r = 6 a solution to the inequality below? 10 < r
Answer:
No
Step-by-step explanation:
10 is not less than 6, so 10 < r when r=6 is not true.
Calculate the loss on selling 50 shares of stock originally bought at 13 3/4 and sold at 12
The loss on selling 50 shares of stock would be 87.50.
To calculate the loss on selling 50 shares of stock originally bought at
\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.
First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.
Next, we calculate the difference between the purchase price and the selling price:
\(13.75 - 12 = 1.75.\)
Finally, we multiply the difference by the number of shares sold:
\(1.75 \times50 = 87.50.\)
Therefore, the loss on selling 50 shares of stock would be 87.50.
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If p represents “a number is divisible by 2,” q represents “a number is odd,” and r represents “a number is even,” what does this statement imply?
WILL MARK BRAINLIEST!!!!
Answer:
B
Step-by-step explanation:
idk y but still ur teacher can't do anything
Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in slope-intercept form, if possible. (-4,-1) ; y=-4x-2
Answer:
y =1/4 x
Step-by-step explanation:
y = -4x -2
m = - 4 ( As, The product of slope of perpendicular lines is -1, so -4 *m= -1 => m =1/4)
The y-intercept of the line that passes through the given point (-4,-1) is
-1 = 1/4(-4) + b
-1= -1 +b
b=0
The equation of the line that passes through the given point (-4,-1) is
y =mx +b
y = 1/4x +0
y= 1/4 x
write one way to read the expression 1/4×(48+8)
Answer:
14
Step-by-step explanation:
= 1/4(56)
= 14
step by step
A network provider investigates the load of its network. The number of concurrent users is recorded at fifty locations (thousands of people), These data are available in data set ConcurrentUsers.
17.2 22.1 18.5 17.2 18.6 14.8 21.7 24.1 13.3 16.2
17.5 19.0 23.9 14.8 13.5 15.8 13.1 16.1 21.9 23.9
19.3 15.4 16.7 19.5 16.2 16.9 17.1 20.2 19.7 18.7
17.6 15.9 15.2 17.1 15.0 15.8 16.3 22.8 22.2 21.7
20.7 12.0 19.9 19.4 13.4 19.8 17.7 18.8 21.6 11.9
(a) Compute the sample mean, variance, and standard deviation of the number of concurrent users.
(b) Estimate the standard error of the sample mean.
(c) Compute the five-point summary and construct a boxplot.
(d) Compute the interquartile range. Are there any outliers?
(e) It is reported that the number of concurrent users follows approximately Normal distribution. Does the histogram support this claim?
Since there is no number greater or less than the above one, it doesn't contain any outlier.
The given data set is
17.2 22.1 18.5 17.2 18.6 14.8 21.7 24.1 13.3 16.2
17.5 19.0 23.9 14.8 13.5 15.8 13.1 16.1 21.9 23.9
19.3 15.4 16.7 19.5 16.2 16.9 17.1 20.2 19.7 18.7
17.6 15.9 15.2 17.1 15.0 15.8 16.3 22.8 22.2 21.7
20.7 12.0 19.9 19.4 13.4 19.8 17.7 18.8 21.6 11.9
What is variance?The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.
(a) Sample Mean = The Sum of the given terms/Number of terms
So, sample mean as µ=17.954
Variance can be denoted by \(s^2= \frac{1}{50-1} \Sigma_{n=1} (x_{i}-19.954)^2\)
=9.97
Standard deviation s=√9.97
=3.16
b) The standard error can be denoted by:
s/√n-1 = 3.16/√49
=0.45
c) For the given data,
The value of the least sample number =12.0
The value of the greatest number in sample=24.1
So, Q1=15.83
Median =17.75
Q3=19.88
d) The IQ range would be as follows:
Q3-Q1=19.88-17.75
=4.05
The outlier must be greater than 19.88+1.5(4.05)=25.96 or less than 15.83+1.5(4.05)=9.76.
Since there is no number greater or less than the above one, it doesn't contain any outlier.
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what is the sum 3/x+9+5/x-9
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
Vie
What is the y-intercept of the line with the equation y = 4x+ 2?
a-2
C. 2
b 4
d.
NIN
Please select the best answer from the choices provided
A
D
Mark this and retum
Save and Exit
Next
Answer:
c. 2
Step-by-step explanation:
the Y- intercept is 2 because it says +2
Calculate the price of a zero-coupon bond that matures in five years if the market interest rate is 7.50 percent. (Assume semiannual
compounding and $1,000 par value.)
Multiple Choice
Based on the information given, the price of the zero coupon bond is $692.04.
How to solveTo calculate the price of a zero coupon bond, we need to use the following formula:
\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)
Where:
P = price of the bondF = face value of the bondr = annual interest raten = number of compounding periods per yeart = time to maturity in yearsAlso, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.
Plugging in the values into the formula, we get:
\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)
\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)
\(\sf P = \dfrac{1000}{1.4450}\)
\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)
Therefore, the price of the zero coupon bond is $692.04.
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PLEASE ANSWER NOW I NEED THIS ASAP FOR 100 POINTS!!!!
\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.
The given fraction is \(1\frac{3}{4}\).
\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.
Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.
Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.
Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.
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Step-by-step explanation:
1ft=12in
1¾ft=x
x=12×7/4=21in
1¾ft=1¾×1 ft
....Is Figure B a scale copy of Figure A?
A) YEs
B) No
The figure B is not a dilated scale copy of figure A
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
Given data ,
Let the first figure be represented as A
Now , the dimensions of A are
Let the one square box represents a unit area
So , the dimensions of figure A is = 2 x 5 units²
Now , the dilated figure is B
The dimensions of the figure B is = 12 x 5 units²
So , we can see that the figure B is not a scale copy of figure A
Hence , the dilated figure is false
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