Answer:
Hey there!
The width is 3 inches, and in real life it would be 90 inches. (3x30)
The length is 5.5 inches, and in real life it would be 165 inches. (5.5x30)
90 inches is 7.5 feet
165 inches is 13.75
13.75 times 7.5 is 103.125, so rounded to the nearest integer, that would be 103 ft^2.
Hope this helps :)
Find the area a. 530 b. 779 c. 390 d. 1060
Answer:
a. 530 ..I think.. i'm pretty sure
Step-by-step explanation:
40*26.5 is 1060
1060/2=530
area=530
Factor this polynomial.
-3x^2– 5x-2
Answer:
[tex]-(3x+2)(x+1)[/tex]
Step-by-step explanation:
So we have the polynomial:
[tex]-3x^2-5x-2\\=-(3x^2+5x+2)[/tex]
(I moved the negative to the outside. This is optional, but it makes things cleaner and you will have to do it eventually.)
This is a quadratic. To factor this, we need to find two numbers p and q such that:
[tex]p\cdot q=ac\\p+q=b[/tex]
From there, we can substitute these numbers in for b.
From the quadratic, a=3, b=5, and c=2. We ignore the negative sign.
In other words, ac=6 and b=5.
After guessing and checking, two numbers that work are 3 and 2 since 3(2)=6 ad 3+2=5. We substitute these values in for b. So:
[tex]-(3x^2+5x+2)\\-(3x^2+3x+2x+2)\\=-(3x(x+1)+2(x+1))\\=-(3x+2)(x+1)[/tex]
a map has a scale of 1cm:11.5km.two cities are 5.5cm apart on the map.to the nearest tenth of a kilometer,what is the actual distance corresponding to the map distance?
Answer:
63.3 km
Step-by-step explanation:
All that you need to do here is to multiply 5.5 by 11.5 which equates to...
=5.5x11.5
=63.25
because the second decimal is five you have to round up so that means that the answer is 63.3km.
Hope it helped.. Tysm... Plz.. Mark me BRAINLIEST..
Answer:
[tex]\boxed{63.3 \ km}[/tex]
Step-by-step explanation:
1 cm : 11.5 km
We need the distance for 5.5 cm So,
Multiplying both sides by 5.5
1 cm : 11.5 cm
× 5.5 ×5.5
5.5 cm : 63.25 km
For every 5.5 cm, the actual distance is 63.25 km but to the nearest tenth, it is 63.3 km
Clothing donations are collected to help a family in need. The function g(x) represents the number of items collected where x is the number of people who donated. Does a possible solution of (60, 10) make sense for this function? Explain your answer.
Answer:
No, it doesn't make sense because the output is not feasible.
Step-by-step explanation:
We are told that the function g(x) represents the number of items collected.
Now, we are also told that x is the number of people who donated.
Now, if we want to consider a possible solution of (60, 10) .
It means, we now have; g(60) = 10
This means that 60 people donated and 10 items were collected.
It doesn't make sense that 60 people donated items and only 10 items were available to be collected.
Thus, we can say that ;
No, it doesn't make sense because the output is not feasible.
Please answer it now in two minutes
Answer:
m∠F = 20.6°
Step-by-step explanation:
In the given right triangle ΔHGF,
∠G = 90°
By applying tangent rule in the triangle,
tan(∠F) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{\text{HG}}{\text{GF}}[/tex]
= [tex]\frac{3}{8}[/tex]
= 0.375
m∠F = [tex]\text{tan}^{-1}(0.375)[/tex]
= 20.556°
= 20.6°
Therefore, measure of angle F is 20.6°
Sketch the graph of y=-3(x-3)2+4 and identify the axis of symmetry.
Answer:
The axis of symmetry of parabola is the equation where it cuts the middle of the graph.
So the axis of symmetry is x = 2 .
which of the following is the Pythagorean theorem
Answer:
[tex]a^2+b^2=c^2[/tex]
Step-by-step explanation:
The Pythagorean Theorem is used to find a missing side length in a right triangle, and the formula [tex]a^2+b^2=c^2[/tex] is used to find the missing side, assuming a and b are legs, while c is the hypotenuse.
Answer:
in a right triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length
What is the answer to 2+2 * 89 - 63 + 70
Answer:
187
Step-by-step explanation:
2*89=178
178+2=180
180-63=117
117+70=187
Answer:
47
Step-by-step explanation:
You'd have to follow PEMDAS.
First we multiply:
89*2=178.
Now we add:
178+2=180
AND
63+70=133.
Finally, we subtract:
180-133=47.
Hope this helps!! <3
The equation of a line that is parallel to y = -3x + 6 and passes through the point (0, -4) please help this is an emergency I need this ASAP please!!!!
Answer:
y = - 3x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 6 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes.
The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4, thus
y = - 3x - 4 ← equation of parallel line
The equation of the graphed line in point-slope form and it’s equation in slope-intercept form is (-2,3)(3,0)
Answer:
y = -9/5x + 9/5
Step-by-step explanation:
From this points, we can determine the slope and the y-intercept.
First, we do: y/x - y1/x1
=> 0/3 - (3 - 2)
=> 0-3/ 3 + 2
=> -3/5
So the slope of the equation is -3/5.
The equation is: y = mx + b
In this equation "m" = slope.
=> b = constant
Now we take the x and y points from the above numbers.
=> Let's take 3 as x and 0 as y.
=> 0 = -3/5 *3 + b
=> 0 = -9/5 + b
=> Take the -9/5 to the other side
=> 9/5 = b
So, the constant number which is not multiplied by the x is 9/5
Now, our equation looks like:
y = -9/5x + 9/5
If you have any doubts about this question, ask me the comments and I will answer it as soon as possible.
MATH PLEASE HELP ME. WILL GIVE BRAINLIEST
Answer:
The answer is - 17Step-by-step explanation:
g(x) = 2x³ - 3x + 5
To find g(- 2) substitute the value of - 2 into g(x)
That's
g(- 2) = 2(-2)³ - 3(-2) + 5
= 2(-8) - 3(2) + 5
= - 16 - 6 + 5
= - 17Hope this helps you
Write a pair of negative integers whose difference is 8.
Answer:
(-5,-13) has a difference of 8
Answer:
-2 and -10
Step-by-step explanation:
negative integers are whole numbers below 0
difference is the same as (-)subtraction
x-y=8
if x= -2
-2-y=8
-y=8+2
-y=10
y= -10.
confirmation-2 - (-10)=8
-2+10=8
8=8
Scarlett bought an ant farm with 80 ants. Frond the following week forward, the ant population tripled every week. Let g(n) be the number on ants in scarletts farm in the nth week since she got it. G is a sequence. What kind is it? Write an explicit formula for the sequence starting with g(n)=? Need help really bad I’m stuck and can’t figure out what it is
Answer:
g(n)=80×3^(n-1)
Step-by-step explanation:
First term (a)=80
The ant population tripled every week.
So, the population of ant after 1st week will be (80 × 3) = 240
After 2 weeks, the population triples again.
We have, (240 × 3) = 720
Common ratio (r)=720/240
=3
r=3
The ants population is increasing in a geometric progression
A geometric progression is given by
g(n)=a × r^(n-1)
Substitute values of a and r to get the explicit formula
g(n)=a × r^(n-1)
g(n)=80×3^(n-1)
helpppppp plsssssss!!!!!!! in the picture below
Answer:
266.67 feet^2.
Step-by-step explanation:
The scale is 1:40.
That means that if the scale has a width of 4 inches, the room will have a width of 4 * 40 = 160 inches. 160 / 12 = 80 / 6 = 40 / 3 feet.
The length in the model is 6 inches, so the room has a length of 6 * 40 = 240 inches. 240 / 12 = 120 / 6 = 60 / 3 = 20 feet.
The area will then be (40 / 3) * 20 = 800 / 3 = 266.67 feet^2.
Hope this helps!
Solve for x: |x| − 8 = −5 (2 points) A. x = −13 and x = −3 B. x = 3 and x = −3 C. x = 3 and x = 13 D. No solution
Answer:
x = 3 and x = -3
Step-by-step explanation:
/x/ - 8 = -5
Add 8 to both sides
/x/ -8 + 8 = -5 +8
/x/ = 3
/ x / will be always positive as it is absolute value of x. So, x = 3 & x= -3
1. an alloy contains zinc and copper in the ratio of 7:9 find weight of copper of it had 31.5 kgs of zinc.
2. compare the following ratios
i) 2:3 and 4:5
ii) 11:19 and 19:21
iii) ½ : ⅓ and ⅓ : ¼
iv ) 1⅕ : 1⅓ and ⅖ : 3/2
v) if a : b = 6:5 and b:c = 10:9, find a:c
vi) if x : y = ⅙:⅛ and y : z = ⅛: ⅒, find X : z
sorry many questions
Answer:
Step-by-step explanation:
Question (1). An alloy contains zinc and copper in the ratio of 7 : 9.
If the weight of an alloy = x kgs
Then weight of copper = [tex]\frac{9}{7+9}\times (x)[/tex]
= [tex]\frac{9}{16}\times (x)[/tex]
And the weight of zinc = [tex]\frac{7}{7+9}\times (x)[/tex]
= [tex]\frac{7}{16}\times (x)[/tex]
If the weight of zinc = 31.5 kg
31.5 = [tex]\frac{7}{16}\times (x)[/tex]
x = [tex]\frac{16\times 31.5}{7}[/tex]
x = 72 kgs
Therefore, weight of copper = [tex]\frac{9}{16}\times (72)[/tex]
= 40.5 kgs
2). i). 2 : 3 = [tex]\frac{2}{3}[/tex]
4 : 5 = [tex]\frac{4}{5}[/tex]
Now we will equalize the denominators of each fraction to compare the ratios.
[tex]\frac{2}{3}\times \frac{5}{5}[/tex] = [tex]\frac{10}{15}[/tex]
[tex]\frac{4}{5}\times \frac{3}{3}=\frac{12}{15}[/tex]
Since, [tex]\frac{12}{15}>\frac{10}{15}[/tex]
Therefore, 4 : 5 > 2 : 3
ii). 11 : 19 = [tex]\frac{11}{19}[/tex]
19 : 21 = [tex]\frac{19}{21}[/tex]
By equalizing denominators of the given fractions,
[tex]\frac{11}{19}\times \frac{21}{21}=\frac{231}{399}[/tex]
And [tex]\frac{19}{21}\times \frac{19}{19}=\frac{361}{399}[/tex]
Since, [tex]\frac{361}{399}>\frac{231}{399}[/tex]
Therefore, 19 : 21 > 11 : 19
iii). [tex]\frac{1}{2}:\frac{1}{3}=\frac{1}{2}\times \frac{3}{1}[/tex]
[tex]=\frac{3}{2}[/tex]
[tex]\frac{1}{3}:\frac{1}{4}=\frac{1}{3}\times \frac{4}{1}[/tex]
= [tex]\frac{4}{3}[/tex]
Now we equalize the denominators of the fractions,
[tex]\frac{3}{2}\times \frac{3}{3}=\frac{9}{6}[/tex]
And [tex]\frac{4}{3}\times \frac{2}{2}=\frac{8}{6}[/tex]
Since [tex]\frac{9}{6}>\frac{8}{6}[/tex]
Therefore, [tex]\frac{1}{2}:\frac{1}{3}>\frac{1}{3}:\frac{1}{4}[/tex] will be the answer.
IV). [tex]1\frac{1}{5}:1\frac{1}{3}=\frac{6}{5}:\frac{4}{3}[/tex]
[tex]=\frac{6}{5}\times \frac{3}{4}[/tex]
[tex]=\frac{18}{20}[/tex]
[tex]=\frac{9}{10}[/tex]
Similarly, [tex]\frac{2}{5}:\frac{3}{2}=\frac{2}{5}\times \frac{2}{3}[/tex]
[tex]=\frac{4}{15}[/tex]
By equalizing the denominators,
[tex]\frac{9}{10}\times \frac{30}{30}=\frac{270}{300}[/tex]
Similarly, [tex]\frac{4}{15}\times \frac{20}{20}=\frac{80}{300}[/tex]
Since [tex]\frac{270}{300}>\frac{80}{300}[/tex]
Therefore, [tex]1\frac{1}{5}:1\frac{1}{3}>\frac{2}{5}:\frac{3}{2}[/tex]
V). If a : b = 6 : 5
[tex]\frac{a}{b}=\frac{6}{5}[/tex]
[tex]=\frac{6}{5}\times \frac{2}{2}[/tex]
[tex]=\frac{12}{10}[/tex]
And b : c = 10 : 9
[tex]\frac{b}{c}=\frac{10}{9}[/tex]
Since a : b = 12 : 10
And b : c = 10 : 9
Since b = 10 is common in both the ratios,
Therefore, combined form of the ratios will be,
a : b : c = 12 : 10 : 9
a sinusoid always function has an amplitude of 3, a frequency of 1/8pi, and a midline at 2. Which of the following equations satisfies these conditions? a. f(x)=3sin x/8pi +2 b. f(x)=3sin(4x) +2 c. f(x)=3sin(8pi x) +2 d. f(x)=3sin x/4 +2
Answer:
The correct option is;
f(x) = 3·sin x/8·π + 2
Step-by-step explanation:
The given parameters for the sinusoidal function are;
Amplitude of oscillation = 3
Frequency of oscillation = 1/8·π
Midline of oscillation= 2
The general form of sinusoidal equation is y = A·sin(B(x - C)) + D
Where;
A = The amplitude
B = The frequency
C = The horizontal shift
D = The midline or vertical shift
Substituting the given values into the general form of sinusoidal equation, we have;
f(x) = y = 3·sin(1/8·π(x - 0)) + 2 = 3·sin(x/8·π) + 2
Which gives;
f(x) = 3·sin(x/8·π) + 2.
Pleaseeee helppppp❤️
Answer:
The expression will be simplified into [tex]26x^4y^3+35xy^6-42xy^5\\[/tex]
Step-by-step explanation:
It's like addition, when you multiply exponents that are on the same bases as each other.
when 5 more than 2 lots of a number is tripled the result is 10
Answer:
-5/6
Step-by-step explanation:
a number is x
then two lots will be 2 x
five more will be 2x+5
then tripled so 3(2x+5)
will equal 10
Answer: [tex]-\frac{5}{6}[/tex]
Step-by-step explanation:
3(2x+5)=10
Distribute
6x+15=10
Subtract 15
6x=-5
x = -5/6
Hope it helps <3
Find the product.
(6a + 3b)(a - b)
Enter the correct answer.
Answer:
See below.
Step-by-step explanation:
[tex](6a+3b)(a-b)\\[/tex]
Distribute:
[tex]=(6a+3b)(a)-(6a+3b)(b)\\=6a^2+3ab-(6ab+3b^2)\\=6a^2+3ab-6ab-3b^2\\=6a^2-3b^2-3ab[/tex]
Answer:
6a^2-3b^2-6ba+3ba
Step-by-step explanation:
(6a+3b)(a+b)....expand the term
6axa - 6axb + 3bxa - 3b×b ....simplify
6a^2 - 6ba + 3ba - 3b^2, then reorder so highest order terms come first
6a^2 - 3b^2 - 6ba + 3ba
Which data set has the largest standard deviation?
O A. 12, 14, 13, 14, 12, 13, 12
O B. 1,6,3, 15, 4, 12,8
O C. 20, 21, 23, 19, 19, 20, 20
D. 3,4,3, 4, 3, 4,3
SU
Answer:
I thinks it's B.not sure...
The deviation of the mean between the sample is less in option B.
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.
The mean is the numerical normal of a bunch of at least two numbers. The number juggling means and the mathematical mean are two sorts of implications that can be determined.
If the deviation of the mean between the sample is more, then the deviation will be more.
Let's check all the options.
A. 12, 14, 13, 14, 12, 13, 12
The mean is calculated as,
Mean = (12 + 14 + 13 + 14 + 12 + 13 + 12) / 7
Mean = 12.86
B. 1,6,3, 15, 4, 12,8
The mean is calculated as,
Mean = (1 + 6 + 3 + 15 + 4 + 12 + 8) / 7
Mean = 7
C. 20, 21, 23, 19, 19, 20, 20
The mean is calculated as,
Mean = (20 + 21 + 23 + 19 + 19 + 20 + 20) / 7
Mean = 20.28
D. 3,4,3, 4, 3, 4, 3
The mean is calculated as,
Mean = (3 + 4 + 3 + 4 + 3 + 4 + 3) / 7
Mean = 3.43
The deviation of the mean between the sample is less in option B.
More about the standard deviation link is given below.
https://brainly.com/question/12402189
#SPJ2
Pls answer ASAP will mark brainliest if correct
Answer:
E. 88 inches squared
Step-by-step explanation:
First we will calculate the total area(including the area of the picture):
Step 1(Finding dimensions of frame): 10+2+2=14 and 8+2+2=12
Step 2(Finding total area): 12 * 14 = 168
Now we will find the area of the picture and subtract it from the total area to get the area of the frame:
A= 8*10= 80
168 -80 =88 inches squared
Hope this helps!
Answer:
E(88)
Step-by-step explanation:
first find the area of the photograph : 8*10=80 square inches
the length of the whole frame in including the photograph is:
8+2 inches+2 inches=12 inches
the width is 10+2+2=14 inches
the area of the whole frame=12+14=168 inches square
the area of the border=168-80=88 inches square
Henry rented a truck for one day. There was a base fee of 15.99 , and there was an additional charge of 79 cents for each mile driven. Henry had to pay 115.58 when he returned the truck. For how many miles did he drive the truck?
Subtract base fee from total then divide by price per mile:
115.58 - 15.99 = 99.59
99.59 / 0.79 = 126.063 miles
Round the answer as needed.
A research agency asks a random sample of respondents, ‘Would you vote for a female candidate for President if she were qualified in every other way?” The design of this study is flawed. How?
A. More information should have been provided about this potential female candidate for president, such as age, race, and religious affiliation.
B. Only carefully screened subjects should have been allowed to answer this survey question because not everyone is likely to vote in the next presidential election.
C. Research agencies should not ask survey questions about differences in age, race, gender, or religious affiliation as there is an increased risk in offending some sample respondents.
D. Wording the question in this manner implies that being female by itself makes you less qualified than a male…it says “if she were qualified in every other way.”
The correct answer is D. Wording the question in this manner implies that being female by itself makes you less qualified than a male…it says “if she were qualified in every other way.”
Explanation:
One of the factors that can make a study flaw is bias, this means the study includes questions or content influenced by personal judgements or that tries to influence the answers of the respondents. This occurs in the question "‘Would you vote for a female candidate for President if she were qualified in every other way?” because the phrase "if she were qualified in every other way" indirectly tells respondents women are less qualify or might not be qualified to be in the role of a president, which shows a personal judgment. Also, this wording might influence respondents to answer they would not vote for a woman.
Which set of points does NOT represent a function?
OA) (8,5), (7,5), (6,5), (5,5)
O B) (3,-5), (3, -1), (3, 2), (3, 4)
OC) (-2,3), (-3,2), (2, -3), (3, -2)
OD) (4, -1), (5, 1), (-1,4), (1,5)
Answer:
Answer A does not represent a function(I think)
Step-by-step explanation:
Because the Y-coordinates are the same.
Please help me with this problem! If anybody answers first in this, i will give brainliest to you! Be the first one to answer this then i will give out a brainliest award to you!
Are you sure your that person?
Answer:
32 remainder 2
Step-by-step explanation:
To divide 162 by 5, we simply do the following:
5 goes into 16 => 3
Multiply 5 by 3 => 3 × 5 = 15
Subtract 15 from 16 => 16 – 15 = 1
Put the 1 before 2 => 12
5 goes into 12 => 2
Multiply 5 by 2 => 5 × 2 = 10
Subtract 10 from 12 => 12 – 10 => 2
In summary,
162 divided by 5 => 32 remainder 2
Please see attached photo for further details.
What is the product of
(2x-6)(x+1)
Answer:
Hey there!
(2x-6)(x+1)
2x^2-6x+2x-6
2x^2-4x-6
Hope this helps :)
Answer:
2x^2 -4x-6
Step-by-step explanation:
(2x-6)(x+1)
FOIL
first: 2x*x = 2x^2
outer: 2x*1 = 2x
inner: -6*x = -6x
last: -6*1 = -6
Add them together
2x^2 +2x-6x-6
Combine like terms
2x^2 -4x-6
WHAT IS THE ANSWER PLS HELPPPPP!!!!!
Answer:
5^x - 5^-x
Step-by-step explanation:
g(x) = 5^-x
h(x) = 5^x
We want h(x) - g(x)
h(x) - g(x) = 5^x - 5^-x
This cannot be simplified
1. Arjun puts £750 into his savings account. The account earns 5% simple interest per annum. After 4 years, how much money will Arjun have in his savings account? £ 1. Connor invests £1500 of his money for 2 years at a simple interest rate of 10%. How much money will he get back in interest?
Answer:
1. 900
2. 350
Step-by-step explanation:
the formula,
A= P(1+rt)
A= final amount
P= starting amount
r= intrest rate
t= time
1. A=750(1+.05*4)
A=750(1.2)
A=900
2. A=1500(1+.1*2)
A=1500(1.1)
A=1650
But theyre
asking for how much intrest will they get back, so you subtract the new amount by the starting amount to find how much intrest was earned
1650-1500=350
Need Help Quick!!! Vanessa and William are stuck simplifying radical expressions. Vanessa has to simplify . X 3/5 over X 1/4 William has to simplify 20 square root of x times x^3 times x^4 . Using full sentences, describe how to fully simplify Vanessa and William's expressions. Describe if Vanessa and William started with equivalent expressions or if they started with expressions that are not equal.
Answer:
Yes, they started with equal expressions.
Step-by-step explanation:
To simplify Vanessa's expression, we must rationalize the denominator. This means we must make the denominator x.
We need to multiply the denominator by x^(1/6) to make a whole x; this means we must multiply the numerator by x^(1/6) as well: