Answer:
28 sqr feet.
Step-by-step explanation:
Congruent means equal to. So Cold = Warm for some given property (Area in this case).
28 ft^2 is the answer
Brian and his son have a total age of 84.Brian is 26 years older than his son .how old is Brian?
Answer:
Brian = 55
Son = 29
Step-by-step explanation:
Let the ages of Brian and his son be
x +26 and x
Given that :
x + x + 26 = 84
2x + 26 = 84
2x = 58
x = 29.
We know that x is the age of Brian's son. so, Brian's age is 29 + 26 = 55
Hope this helps.
Good Luck
I NEED HELP ASAP! THANKS :)
Answer: A) stretched vertically by 2 and shifted up 6 units
Step-by-step explanation:
y = A log(Bx - C) + D where
A = vertical stretch by a factor of AB = horizontal shrink by a factor of 1/BC = horizontal shift C units (positive = right, negative = left)D = vertical shift D units (positive = up, negative = down)Given: f(x) = log x
g(x) = 2 log x + 6
→ A = 2 vertical stretch by a factor of 2
→ D = +6 vertical shift UP 6 units
Analyze the diagram below and complete the instructions that follow.
Find sin ZNOM.
Answer:
sin NOM = 3/5
Step-by-step explanation:
sin NOM = opposite/ hypotenuse = MN/OM
OM² = 4² + 3² = 25
OM = √25 = 5
sin NOM = MN/OM = 3/5
What is the numerator of the simplified sum? StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 EndFraction
Answer:
4x + 6
Step-by-step explanation:
Given
[tex]\frac{x}{x^2+3x+2}[/tex] + [tex]\frac{3}{x+1}[/tex]
Before we can add the fractions we require them to have a common denominator.
Factor the denominator of the first fraction
[tex]\frac{x}{(x+1)(x+2)}[/tex] + [tex]\frac{3}{x+1}[/tex]
Multiply the numerator / denominator of the second fraction by (x + 2)
= [tex]\frac{x}{(x+1)(x+2)}[/tex] + [tex]\frac{3(x+2)}{(x+1)(x+2)}[/tex] ← fractions now have a common denominator
Add the numerators leaving the denominators
= [tex]\frac{x+3(x+2)}{(x+1)(x+2)}[/tex]
= [tex]\frac{x+3x+6}{(x+1)(x+2)}[/tex]
= [tex]\frac{4x+6}{(x+1)(x+2)}[/tex] ← simplified sum with numerator 4x + 6
What would the busked of x be?
Answer:
x = 9
Step-by-step explanation:
Step 1: Look at graph
You can see that both ∠B's are the same. Therefore, both side lengths AD and CD are the same
Step 2: Set equations equal to each other
3x = 2x + 9
Step 3: Solve
x = 9
And we have our answer!
Answer:
9
Step-by-step explanation:
i’ve tried multiple ways to answer this question, and i’m so stuck! :( could anyone help me please!
Answer:
160 ounces
Step-by-step explanation:
32 ounces x 5=160 ounces
The third term in a sequence is 11.
The term-to-term rule is "take away 4".
Write an expression, in terms of n, for the nth term of the sequence.
Answer:
sequence is 19, 15, 11 ....
so nth term is : -4n+(19+4)
therefore : -4n + 23
Answer:
-4n + 23
Step-by-step explanation:
HELP PLSSSS,I DON'T GET IT
Answer:
Step-by-step explanation:
I THINK IT C
20 points!!!! match the justification to each statement in the solution of x + 12.7 =-25.2.
Answer: x + 12.7 = -25.2 ✓given
x + 12.7 -12.7 = -25..2 -12.7 ✓ Subtraction property of equality
x + 0 = -37.9 ✓ Additive inverse and simplification
x = -37.9 ✓ Identity property
Step-by-step explanation: Put the steps in order. Then it makes some sense. Why is the step "legit"?
I would greatly appreciate the help of these two questions!!
Please hurry? :')
Answer:
b
Step-by-step explanation:
Δ QRP and Δ XRY are similar, thus ratios of corresponding sides are equal, that is
[tex]\frac{XY}{QP}[/tex] = [tex]\frac{RY}{RP}[/tex] , substitute values
[tex]\frac{XY}{4}[/tex] = [tex]\frac{4}{8}[/tex] ( cross- multiply )
8XY = 16 ( divide both sides by 8 )
XY = 2
What is 25 x 10^6 in standard form
Answer:
25 x 10^6 in standard form
= 25,000,000
Step-by-step explanation:
brainleist!
Answer:25,000,000
Step-by-step explanation:
Line A passes through the points (-8, 5) and (-5, 4). Line B passes through the points (0, 1) and (4, -1). Which of the following describes the relationship between line A an line B?
.
Lines A and B are parallel, because they have the same slope
.
Lines A and B are parallel, because they have opposite reciprocal slopes.
.
Lines A and B are perpendicular, because they have opposite reciprocal slopes.
.
Lines A and B intersect, because their slopes have no relationship.
Answer:
Last option is the correct choice.
Step-by-step explanation:
Slope of line A = [tex]m=\frac{4-5}{-5-\left(-8\right)}=-\frac{1}{3}[/tex]
Slope of line B = [tex]m=\frac{-1-1}{4-0}=-\frac{1}{2}[/tex]
Lines A and B intersect, because their slopes have no relationship.
Best Regards!
Lines A and Line B intersect, because their slopes have no relationship.
What is slope of line?Slope of line is defined as the angle of line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Given,
Line A passes through the points (-8, 5) and (-5, 4)
Let
x₁ = -8, y₁ = 5
x₂ = -5, y₂ = 4
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in formula
m₁ = (4 - 5)/(-5 - (-8))
m₁ = (4 - 5)/(-5 + 8)
m₁ = -1/3
So, the slope of the line A is -1/3
Line B passes through the points (0, 1) and (4, -1).
m₂ = (-1 - 1)/(4 - 0)
m₂ = (-2)/(4)
m₂ = -1/2
So, the slope of the line B is -1/2
Hence, Lines A and Line B intersect, because their slopes have no relationship.
Learn more about Slope of Line here:
brainly.com/question/14511992
#SPJ2
h=(-5) answer needed now!!!!
Answer:
-2
Step-by-step explanation:
h(-5) represents the y value when x is -5.
A function is represented by the table. x y 3 -2 5 -26 7 -50 The rate of change of the function represented in the table is . For the given x- and y-values, the function is .
Answer:
Step-by-step explanation:
Here is your x/y table, a bit more organized:
x | 3 5 7
y | -2 -26 -50
The rate of change is the same thing as the slope. If the slope between coordinates 1 and 2 is the same as the slope between coordinates 2 and 3, we have a linear function in the form y = mx + b, where m is the slope and b is the y-intercept. We will have to solve for b if we want to use this form. Or we could use the point-slope form and not have to solve for b. Let's do that. But first things first. The slope:
Between the first 2 coordinates (3, -2) and (5, -26):
[tex]m=\frac{-26-(-2)}{5-3}=\frac{-24}{2}=-12[/tex]
Between coordinates 2 and 3 which are (5, -26) and (7, -50):
[tex]m=\frac{-50-(-26)}{7-5} =\frac{-24}{2}=-12[/tex]
The slopes are the same, so this in fact a linear function with m = -12. But that's all we have, so let's use the point-slope form of a line to write the equation:
[tex]y-y_1=m(x-x_1)[/tex] where [tex]x_1[/tex] and [tex]y_1[/tex] are coordinates found in the table. Plugging in the first coordinate along with the slope of -12:
[tex]y-(-2)=-12(x-3)[/tex] and
y + 2 = -12x + 36 and
y = -12x + 36 - 2 so the equation for the line in slope-intercept form is
y = -12x + 34
Regardless of which coordinate point you choose as your x1 and y1, I promise you that you will still get the same equation for the line!
Answer:
hi its -12 and decreasing.
Ash and Misty are both travelling by train. Ash's train travels 80 km in 50 minutes. Misty's train travels 160 km. It leaves at 12:35 and arrives at 15.05. Work out the difference, in km/h, between the average speed of their trains.
Answer:
∆v = 32 km/h
the difference, in km/h, between the average speed of their trains is 32 km/h.
Step-by-step explanation:
For Ash's Train;
Distance travelled d1 = 80km
Time taken t1 = 50 minutes = 5/6 hour
Average speed = distance travelled/time taken
v1 = d1/t1
Substituting the values;
v1 = 80/(5/6)
v1 = 96km/h
For Misty's train;
Total distance travelled d2 = 160 km
Time taken t2 = 15:05 - 12:35 = 2 hours 30 minutes
t2 = 2.5 hours
v2 = d2/t2 = 160/2.5
v2 = 64 km/h
the difference, in km/h, between the average speed of their trains is;
∆v = v1 - v2 = 96km/h - 64 km/h = 32 km/h
∆v = 32 km/h
the difference, in km/h, between the average speed of their trains is 32 km/h.
Answer:
32km/h
Step-by-step explanation:
What is the standard form for the quadratic function? g(x)=(x+1)2−2 g(x)=x2−1 g(x)=x2−2x−4 g(x)=x2+2x−1 g(x)=x2−3
Answer:
x^2 + 2x - 1
Step-by-step explanation:
g(x)=(x+1)2−2 would be a quadratic if you'd write it like this: g(x)=(x+1)^2−2.
This expands to g(x) = x^2 + 2x + 1 - 2 = x^2 + 2x - 1
Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 823, makes the most sense
Answer:
He's wrong, he should have divided both sides by 3
b≤8.66666
Step-by-step explanation:
Answer:
Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 8 2/3, makes the most sense?
Step-by-step explanation:
If the sum of first 9 terms of an A.P is equal to sum of its first 11 terms, then what is the sum of its 20 terms?
Pls Anyone help me!!
Answer:
Put the values into the formula....let me know if you need help....
Step-by-step explanation:
Answer: 0
Step-by-step explanation:
Sum of the first 9 terms = 9/2 (2a + 8d)
Sum of the first 11 terms = 11/2 (2a + 10d)
S9 = S11
9a + 36d = 11a + 55d
2a = -19d
2a + 19d = 0...........(1)
S20 = 20/2 (2a + 19d)
= 20/2 (0) . .. ............from (1)
S20 = 0
pls answer. i will mark as branliest
Answer:
The supplement to 101° is 79° (since 180 - 101 = 79) so that means, using the exterior angle formula, we can write:
x = 38 + 79 which simplifies to x = 117°.
Answer:
117 degrees
Step-by-step explanation:
38* is one inside angle
to find the other you got to find the rest if you do 180-101 you get 79.
all interior angles of a triangle add up to 180 aswell so 38+79=180 so subtract 180 from those 2 added up and you get 63* now that is the right bottom angle but don't forget a line is 180* so now we do 180-65 and you get 117
OK sorry i had it wrong apparently i cant read
A point D (3, 2) is rotated clockwise through 90°. Find the new coordinates of D'.
Answer:
the rule for rotating 90 degrees clockwise is (x,y) to (y,-x). (3,2) will turn into (2,-3)
Step-by-step explanation:
Find the number of sides of a polygon if each interior angle is 150°
Answer:
12
Step-by-step explanation:
The interior angle and exterior angle sum to 180° , thus
exterior angle = 180° - 150° = 30°
The sum of the exterior angles of a polygon = 360° , thus
number of sides = 360° ÷ 30° = 12
The probability that Paul wins in a raffle is given by the expression
p.
Write down an expression for the probability that Paul does not win.
Answer:
[tex]1 - p[/tex]
Step-by-step explanation:
Consider the [tex](\Omega, \mathcal{F}, \mathbb{P})[/tex] where [tex]\mathcal{F}[/tex] is sigma algebra and [tex]\mathbb{P}[/tex] is probabilistic measure. Denote [tex]A \subset \Omega[/tex] where Paul wins. By additivity of measure we know that
[tex]\mathbb{P}(A) + \mathbb{P}(\Omega \setminus A) = \mathbb{P}(\Omega) = 1[/tex].
So
[tex]\mathbb{P}(\Omega \setminus A) = 1 - \mathbb{P}(A) = 1 - p[/tex].
But [tex]\Omega \setminus A[/tex] is exactly the set where Paul does not win. Q.E.D.
What are TWO equivalent expressions for 2(3j+ 5 + 6j) Remember I need TWO equivalent expressions.
Answer:
Hope it helps:) 18j+10
Step-by-step explanation:
(2)(3j+5+6j)
(2)(3j)+(2)(5)+(2)(6j)
6j+10+12j
18j+10
The table shows the ages of players on a football team.
Age
Frequency
a) Work out the mean age of the team.
Round your answer to 1 decimal place.
19
2.
20
3
21
1
b) A new player joins the team and raises
the mean age to 22.
22
4
23
1
Work out the age of this new player.
Answer: A) 20.9 ; B) 34years
Step-by-step explanation:
Given the following :
AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23
FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1
A)
MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY
F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]
= 38 + 60 +21 + 88 + 23 = 230
SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11
MEAN(X) = 230 / 11
X = 20.9
B)
WHEN A NEW PLAYER WAS ADDED :
MEAN (X) = 22
Let age of new player = y
Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y
Number of players = 11 + 1 = 12
Mean(x) = sum of ages / number of players
New mean (x) = 22
x = (230 + y) / 12
22 = (230 + y) / 12
Cross multiply
264 = 230 + y
y = 264 - 230
y = 34 years
If Connie deposits $100 into a savings account with a 3% annual interest rate and doesn't withdraw any of the money for 2 years, what will her balance be at the end of 2 years?
Answer:
The final amount/ her balance after two years is $106.09Step-by-step explanation:
We are going to assume that the balance compounds every year
applying the compound interest formula we have
[tex]A= P(1+r)^t[/tex]
where
A, final amount
P, Principal= $100
r, Rate= 3%= 0.03
T, time= 2years
substituting our values into the formula we have
[tex]A= 100(1+0.03)^2\\A=100(1.03)^2\\A=100*1.0609\\A=106.09\\[/tex]
The final amount/ her balance after two years is $106.09
Which investment account can be used to save for post-secondary education? traditional IRA, 403(b), flexible spending account (fsa), 529 plan, or 401(k)
Answer:
529 plan
Step-by-step explanation:
The 529 plan investment account is a type of account used to save for future education purposes and are sponsored by educational institutions and the state. They are of two types, The prepaid tuition plan and the education saving plan. The prepaid tuition plan is used to pay for future tuition fee at present rates while the education saving plan are used to pay for qualified education expenses
Answer:
529 plan
Step-by-step explanation:
A 529 college savings plan works much like a Roth 401(k) or Roth IRAby investing your after-tax contributions in mutual funds, ETFs and other similar investments. Your investment grows on a tax-deferred basis and can be withdrawn tax-free if the money is used to pay for qualified higher education expenses.
Help me real quick plz, will give more points and 5 star rate if right answer is given.
Step-by-step explanation:
I think D
But I am not sure
sorry unknowingly I typed option A
Answer:
D
Step-by-step explanation:
The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.
Which statement is true about the data?
-The mean of Box A is greater than the mean of Box B.
-The mean of Box B is greater than the mean of Box A.
-The median of Box A is greater than the median of Box B.
-The median of Box B is greater than the median of Box A.
Answer:
D: The median of Box B is greater than the median of Box A.
Step-by-step explanation:
edg2020
The median of Box B is greater than the median of Box A. Then the correct option is D.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.
The mean is given as the ratio of the sum of the observation and the number of the observation.
The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.
The mean of Box A will be
⇒ (32 + 32 + 28 + 28 + 28 + 28 + 25 + 25 + 35 + 32) / 10
⇒ 29.3
The mean of Box B will be
⇒ (48 + 20 + 32 + 20 + 32 + 32 + 40 + 20 + 21 + 28) / 10
⇒ 29.3
The median of Box A will be
⇒ 25
The median of Box B will be
⇒ 30
The median of Box B is greater than the median of Box A.
Then the correct option is D.
More about the mean link is given below.https://brainly.com/question/521501
#SPJ2
Which of the following linear equations passes through points (-1,5) and (1,-5)?
Answer:
y = -5x
Step-by-step explanation:
2. Find the LCM of 3, 11, and 12.
O 396
0 264
O 132
O 33
Answer:
132
Step-by-step explanation:
3 x 44= 132
11 x 12 = 132
Answer:
C)132
Hope this helps
Explanation) LCM(3, 11, 12) = 132