Answer:
barb has 3⁴ pennies
Step-by-step explanation:
We are told that ;
Bob has 3 pennies = 3
Betty has three times as many pennies as bob = 3 × 3 = 3²
Bill has three times as many pennies as Betty = 3 × 3² = 3³
Barb has three times as many pennies as bill = 3 × 3³ = 3⁴
Thus,barb has 3⁴ pennies
Answer:
3⁴ pennies or 81 Pennies
Step-by-step explanation:
Bob - 3¹
Betty - 3²
bill - 3³
barb - 3⁴
3*3*3*3 = 81
Solise is planting 24 bushes and 16 trees in equal rows. She wants all the rows to be exactly the same with no plants left over. What is the greatest number of rows Solise can plant?
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Since Solise want to plant both trees and bushes in the same number of rows, you need to find the common factor.
Since the question is asking what the greatest number of rows she can plant, you have to find the greatest common factor.
The greatest common factor of 24 and 16 is 8.
You can plant 24 bushes in 8 rows (meaning you can divide it by 8), and 16 trees in 8 rows (meaning you can divide it by 8). Since the greatest number you can divide them both by is 8, the GCF of 24 and 16 is 8.
So the greatest number of rows Solise can plant is 8 rows.
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Find the length of the hypotenuse of QPO
Answer:
The answer is option DStep-by-step explanation:
To find the length of the hypotenuse of QPO we must first find the value of x
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x
Using Pythagoras theorem we have
QO² = QP² + OP²
That's
( x + 6)² = 5² + ( x + 5)²
x² + 12x + 36 = 25 + x² + 10x + 25
Group like terms
x² - x² + 12x - 10x = 50 - 36
2x = 14
Divide both sides by 2
x = 7
The hypotenuse of QPO is (x + 6)
Substitute the value of x into the expression
That's
7 + 6= 13Hope this helps you
Answer:
[tex]\Huge \boxed{\mathrm{D.} \ 13}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
We can use Pythagorean theorem to solve for the value of x.
[tex]OP^2 +PQ^2 =OQ^2[/tex]
[tex](x+5)^2 +5^2 =(x+6)^2[/tex]
Simplifying both sides.
[tex]x^2 +10x+50=x^2 +12x+36[/tex]
Subtracting x², 10x and 36 from both sides.
[tex]14=2x[/tex]
Dividing both sides by 2.
[tex]7=x[/tex]
Letting x = 7 for the length of the hypotenuse.
[tex]\Longrightarrow \ 7+6 \\\\\\ \Longrightarrow \ 13[/tex]
[tex]\rule[225]{225}{2}[/tex]
Evan's family took a road trip to Niagrara Falls. Evan fell asleep 5% of the way through the trip. If Evan fell asleep after they had travelled 30 miles, what was the total length of the trip?
Answer:
The length of the trip is 1.5
Step-by-step explanation:
5÷100×30=1.5
Will give a good rating and brainliest who answers this one algebra 2 question
Answer:
Left 10 and down 3
Step-by-step explanation:
When adding to the x inside the parenthesis, the graph is moving left.
When subtracting from outside the parenthesis, the graph moves down.
Answer:
10 to the left
Step-by-step explanation:
a gardener spends half an hour to mow and weed the lawn which has a measurement of 24 m × 15 m. He is paid $25 per hour. how much is he paid for a lawn which has a measurement of 48m × 30m?
Answer:
$100
Step-by-step explanation:
Half - a - hour = (24*15) =360 m
one hour payment $25
hour(?) =(48*30) = 1440 m
1440/ 360 = 4 hours
So, 25*4 =$100
Which graph(s) pass(es) the vertical-line test for
all values of x?
orange graph
blue graph
Answer:
orange graph
Step-by-step explanation:
Can some one explain please
Answer:
D
Step-by-step explanation:
The sum to infinity of a geometric sequence is calculated as
[tex]S_{infinity}[/tex] = [tex]\frac{a}{1-r}[/tex] | r | < 1
where a is the first term and r the common ratio
Here a = 1 and r = [tex]\frac{1}{5}[/tex] , thus
[tex]S_{infinity}[/tex] = [tex]\frac{1}{1-\frac{1}{5} }[/tex] = [tex]\frac{1}{\frac{4}{5} }[/tex] = [tex]\frac{5}{4}[/tex] → D
ou live in the building on the left in the drawing, and a friend lives in the other building. the two of you are having a discussion about the heights of the buildings, and your friend claims that the height of his building is more than 1.50 times the height of yours. to resolve the issue you climb to the roof of your building and estimate that your line of sight to the top edge of the other building makes an angle of 21° above the horizontal, whereas your line of sight to the base of the other building makes an angle of 52° below the horizontal. determine the ratio of the height of the taller building to the height of the shorter building. state whether your friend is right or wrong.
Answer:
1.3
Friend is wrong
Step-by-step explanation:
Given:
friend's claim: height of his building is more than 1.50 times the height of yours
line of sight to the top edge of the other building makes an angle of 21° above the horizontal
line of sight to the base of the other building makes an angle of 52° below the horizontal
Solution:
Let A be the height of your building is A
Let B+A his building is B higher than yours.
Let the distance between the buildings is x.
then
tan 52 = A/x
tan 21 = B/x
A/B = tan 52 / tan 21
= 1.27994 / 0.38386
A/B = 3.33
(A + B) / A = 1.5 0
A/A + B/A = 1.50
1 + B/A = 1.50
B/A is basically (B/x) / (A/x)
So
1+ 3.33 / 3.33
= 4.33/3.33
= 1.3
Since 1.3 is not equal to 1.5
Hence the friend's claim is wrong.
The height of the taller building can be given in relation to the height of
the other building using trigonometric ratios.
Correct response:
The claim is wrongReasons for the above responseThe given parameters are;
Angle of elevation to the top of the other building = 21°
Angle of depression to the base of the other building = 52°
The claim of the friend = The height of his building > 1.5 × The height of the other building
Required:
To state whether the claim is right or wrong.
Solution:
Let h represent the height of the smaller building, let l represent the
distance between the two buildings, and let d represent the height by
which one building is taller than the other, we have;
[tex]tan\left(21^{\circ} \right) = \mathbf{ \dfrac{d}{l} }[/tex]l·tan(21°) = d
[tex]tan \left(52^{\circ} \right) = \mathbf{\dfrac{h}{l} }[/tex]l·tan(52°) = h
Height of the taller building, H = h + d = l·tan(52°) + l·tan(21°)
Height of the other building = h = l·tan(52°)
Therefore;
[tex]\dfrac{H}{h} = \mathbf{ \dfrac{l \cdot tan \left(52^{\circ} \right) + l \cdot tan \left(21^{\circ} \right)}{l \cdot tan \left(52 ^{\circ} \right)}} = 1 + \dfrac{tan \left(21^{\circ} \right)}{tan \left( 52^{\circ} \right)} \approx 1.3[/tex]H ≈ 1.3·h
Which gives that the taller building, H, is approximately 1.3 times the other building.
Therefore;
The claim is incorrectLearn more about trigonometric ratios here:
https://brainly.com/question/14692278
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What is the prime factorization of 10?
Answer: Prime factorization: 10 = 2 x 5.
Step-by-step explanation:10 is a composite number. 10 = 1 x 10 or 2 x 5. Factors of 10: 1, 2, 5, 10.
The prime factorization of 10 is 2 and 5
If g(x)=3x+1 and p(x)=x2, find g(p(4))
Answer:
49
Step-by-step explanation:
hello,
[tex]p(4)=4^2=16\\\\g(p(4))=g(16)=3*16+1=48+1=49[/tex]
Thanks
Solve for x. Round your answer to 2 decimal places. A right triangle is shown with the hypotenuse labeled x. One angle has a measure of 32 degrees, and the opposite leg has a length of 7.
Answer:
x would be 58°
Step-by-step explanation:
Answer:
13.21
Step-by-step explanation:
Sin(32)=7/x
x=7/sin(32)= 13.21
Find the distance between (3,5)
and (7,-3). **(round to the nearest tenth.)
Answer:
The answer is
8.9 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3,5)and (7,-3)
The distance between them is
[tex]d = \sqrt{( {3 - 7})^{2} + ({5 + 3})^{2} } \\ = \sqrt{ ({ - 4})^{2} + {8}^{2} } \\ = \sqrt{16 + 64} \\ = \sqrt{80} \\ =4 \sqrt{5} \\ \: \: \: \: = 8.9442[/tex]We have the final answer as
8.9 units to the nearest tenthHope this helps you
Step-by-step explanation:
√(7-3)^2+(-8)^2
√16+64
√80
8.94
AB is dilated by a scale factor of 3 to form A1B1. Point O, which lies on AB, is the center of dilation. The slope of AB is 3. The slope of A1B1 is . Through point O.
Answer:
[tex]Slope\ of\ A'B'= 3[/tex]
Step-by-step explanation:
Given
[tex]Slope\ of\ AB= 3[/tex]
Required
Determine the slope of A'B'
Represent the coordinates of AB with (x,y), such that
[tex]AB = (x,y)[/tex]
Since A'B' is 3 * AB, we have
[tex]A'B' = 3 * AB[/tex]
Substitute (x,y) for AB
[tex]A'B' = 3 * (x,y)[/tex]
[tex]A'B' = (3x,3y)[/tex]
Since the slope of AB = 3, then the slope of A'B' is also equal to 3 because dilation through (0,0) does not have effect on the slope
Answer:
3, Does not Pass
Step-by-step explanation:
Good luck with edmentum everyone :D
[tex] \sqrt{ \frac{49}{81} } [/tex]
Roots of decimals
7а — За +2а — а = 16
Answer:
(7a-3a)+(2a-a)=16
4a+a or 1a =16
5a=16
5a/5=16/5
a =16/5 or a=3.2
Step-by-step explanation:
solving like terms or substract are same
you only have to find value of uknown value which was "a" question
Sam and Mary are picking a topping for the ice cream. Their choices are strawberries, chocolate chips, gummi bears, caramel sauce, and whip cream. What is the probability that they both pick gummi bears as their topping?
Answer:
2/5
Step-by-step explanation: Total outcomes=5
favourable outcomes=2
Therefore ,P(E)=2/5
(4x^3 - x^2 +4x) + (x^3 -x^2 - 4x)
Answer:
5x³ - 2x²
Step-by-step explanation:
Step 1: Write out expression
4x³ - x² + 4x + x³ - x² - 4x
Step 2: Combine like terms (x³)
5x³ - x² + 4x - x² - 4x
Step 3: Combine like terms (x²)
5x³ - 2x² + 4x - 4x
Step 4: Combine like terms (x)
5x³ - 2x²
Please someone help me!!!!
Answer: [tex]\dfrac{\sqrt2}{2}[/tex]
Step-by-step explanation:
sin 75 = sin(30 + 45) = sin30 · cos45 + cos30 · sin45
[tex]=\dfrac{1}{2}\cdot \dfrac{\sqrt2}{2}+\dfrac{\sqrt3}{2}\cdot\dfrac{\sqrt2}{2}\qquad =\dfrac{\sqrt2+\sqrt6}{4}[/tex]
sin 15 = sin(45 - 30) = sin45 · cos30 - cos45 · sin30
[tex]=\dfrac{\sqrt2}{2}\cdot \dfrac{\sqrt3}{2}-\dfrac{\sqrt2}{2}\cdot\dfrac{1}{2}\qquad =\dfrac{\sqrt6-\sqrt2}{4}[/tex]
sin75 - sin15
[tex]=\dfrac{\sqrt2+\sqrt6}{4}-\dfrac{\sqrt6-\sqrt2}{4}[/tex]
[tex]=\dfrac{\sqrt2+\sqrt6-\sqrt6+\sqrt2}{4}\\\\=\dfrac{2\sqrt2}{4}\\\\=\dfrac{\sqrt2}{2}[/tex]
Find h(-2) if h (x) = x3 + 1
find the outlier of the set of data 24, 18, 26, 20, 18, 24, 4 , 24
Answer:
the outlier is 4
Look at all the numbers in the set:
24,18,26,20,18,24,4,24
the numbers 24,18,26,20,18,24,24 are all close in range to each other but the number 4 is not.
so therefore, the outlier is 4.
Answer:
4
Step-by-step explanation:
All the other numbers are close lying numbers. But, 4 sets off the set of data.
Brainliest please...................
Write the equation in standard form for the ellipse with center at the origin, vertex (-8, 0), and co-vertex (0,4).
Answer: [tex]\dfrac{x^2}{64}+\dfrac{y^2}{16}=1[/tex]
Step-by-step explanation:
The standard form for an ellipse is: [tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex] where
(h, k) is the centera is the radius on the x-axisb is the radius on the y-axisGiven: (h, k) = (0, 0)
a = 8 (distance on x-axis from origin to -8)
b = 4 (distance on y-axis from origin to 4)
Input h = 0, k = 0, a = 8, b = 4 into the standard form for an ellipse:
[tex]\dfrac{(x-0)^2}{8^2}+\dfrac{(y-0)^2}{4^2}=1[/tex]
[tex]=\dfrac{x^2}{64}+\dfrac{y^2}{16}=1[/tex]
Round 48.1 to the nearest whole number
Answer:
48
Step-by-step explanation:
48.1
for decimals:
0-4 keep the number the same
5-9 rounds up
Thanks for the help, question below :)
Answer:
a: [tex]40h+75f=800,h+f=13[/tex]
b: 5
c: 8
Step-by-step explanation:
Explanation for a: Making the equations
Assuming h is the amount of half-page ads and f is the amount of full page ads, we can create the equations [tex]40h+75f=800,h+f=13[/tex] since the total cost will be 800$, and we have a total of 13 ads.
Explanation for b: Solving for h
We can now solve for one of the variables using elimination. Let’s multiply the expression [tex]h+f=13[/tex] by -75.
[tex]-75h - 75f = -975[/tex]
Great! Now let’s add the equations.
[tex]40h + 75f = 800\\\\-75h - 75f = -975[/tex]
Adding these equations, we get
[tex]-35h = -175[/tex]
Divide both sides by -35, and we get [tex]h = 5[/tex].
Explanation for c: Solving for f
We can now substitute h inside the equation [tex]h + f = 13[/tex].
[tex]5 + f = 13\\\\f = 13-5\\\\f = 8[/tex]
Hope this helped!
(a) Let's say that h = half-page advertisement, and f = full-page advertisement.
Now It is given that there is a total of 13 advertisements present, and hence we have the first equation h + f = 13. Respectively we have the equation 40h + 75f = 800. This is represented by the following system of equations,
[tex]\begin{bmatrix}h+f=13\\ 40h+75f=800\end{bmatrix}[/tex]
(c) From here on let's solve this system for h and f. Isolating h in the first equation would give us h = 13 - f, which then can be substituted into the second equation to receive 40(13 - f) + 75f = 800. Let's solve for f --- (1)
40(13 - f) + 75f = 800,
520 - 40f + 75f = 800,
520 + 35f = 800,
35f = 280,
f = 280 / 35 = 8 full advertisements
(b) Now let's substitute this value of f back into the first equation to solve for the value of h --- (2)
h + 8 = 13,
h = 13 - 8 = 5 half advertisements
please help me answer number 3 !!!
Answer:
Prime factorization method.(Table method)Step-by-step explanation:
Answer& Step-by-step explanation:
To multiply powers of the same base, add their exponents.
5d³ / 3f
1. The subsets of the real numbers can be represented in a Venn diagram as shown. To which subsets of real numbers does 12 belong?
A) Integers and Whole Numbers only
B) Rational Numbers, Integers, and Whole Numbers
C) Rational Numbers and Integers only
D) Irrational Numbers, Integers, and Whole Numbers
2. Which statement BEST describes the relationship between whole numbers and natural numbers shown in the diagram?
A) The diagram shows that whole numbers are a subset of natural numbers, because all whole numbers are natural numbers.
B) The diagram shows that natural numbers are a subset of whole numbers, because all natural numbers are whole numbers.
C) The diagram shows that whole numbers are a subset of natural numbers, because some whole numbers are not natural numbers.
D) The diagram shows that natural numbers are a subset of whole numbers, because all whole numbers and natural numbers have no numbers in common.
Answer:
The answer to number 1 is b and number 2 is also b
Answer:
A.
Step-by-step explanation:
Every integer is a rational number but a rational number does NOT need to be a integer, therefore meaning that integers are a subset of rational numbers. Not the other way around.
HELPPPPP!!!!!! Volume of box
Step-by-step explanation:
Volume= L×W×H
=6ft×4ft×3ft
=72 cubic feet
Hope it helps you!!
Answer:
72 cubic ft
Step-by-step explanation:
volume = length x width x height
That is - 3x4x6 cubic ft
= 12x6 cubic ft
= 72 cubic ft
Hope you find it helpful.. Mark me brainliest if u did
1588 nearest thousand answer me fast ♥️
Answer:
2,000
Step-by-step explanation:
Look at the hundreds place. It has a 5 in its place. The rule for rounding is that if the number directly to the right of the place you are rounding is 4 or below, you round down. If it's 5 or above, you round up. It has a 5 in its place, so we round up. The 5 becomes a 0, and the 1 in the thousands place becomes a 2. All other places are 0 because the rounding up affects all other places.I hope this helps!
help please idk how to do this
-2.5 hope this helps you
Over the summer, Kelly read 19 books. Elyse read 6 more
books than Kelly did. How many books did Elyse read over
the summer?
Answer:
25
Step-by-step explanation:
Answer:
25 books
Step-by-step explanation:
So, we know that Kelly read 19 books.
Elyse read 6 more books than 19.
Therefore, to find the amount of books Elyse read, add 6 to 19:
[tex]6+19[/tex]
Add:
[tex]=25[/tex]
So, Elyse read 25 books.
how to do this question plz answer me step by step plzz
Answer:
Adult ticket= 7£
Child ticket= 2£
Step-by-step explanation:
Let the cost of an adult ticket be £A and the cost of a child ticket be £C.
2A +3C= 20 -----(1)
A +4C= 15 -----(2)
From (2):
A= 15 -4C -----(3)
Susbt. (3) into (1):
2(15 -4C) +3C= 20
30 -8C +3C= 20 (expand)
30 -5C= 20 (simplify)
5C= 30 -20
5C= 10
C= 10 ÷5
C= 2
Subst. C=2 into (3):
A= 15 -4(2)
A= 15 -8
A= 7
Thus, the cost of an adult ticket and a child ticket is 7£ and 2£ respectively.