Without solving, what can you tell about the solution to
this equation?
b + 14
(b + 14)
2
(6+
NIE
=
There is no solution.
There are infinitely
many solutions.
b is equal to 1 only.
b is equal to 0 only.
Answer:
Look at this picture so you will get your answer
Step-by-step explanation
Abbys mother is making treat bags for the 30 students in abbys class. She purchased bags at 5 for 1 candy bars at 10 for 0.50 and whistles at 3 for 0.75. If she puts 1 candy bar and 1 whistle I’m each bag how much will Abbys mother spend not including tax?
Answer:
Abby's mother spent $9.75 for the classroom not including tax.
Step-by-step explanation:
Know:
5 bags for 1 dollar
10 candy bars for 50 cents
3 whistles for 75 cents
5×6=30
10×3=30
3×10=30
5 times 6 is thirty. So find the product of 6 and 1 which is 6. 6 is the overall cost of bags.10 times 3 is 30. So find the product of 3 and .50 which is 1.50. 1.50 dollars is the overall cost of candy bars.3 times 10 is 30. You then find the product of 3 and .75. The product of this is 2.25 which is the total cost of whistles.Next you add all the values together which are 6.00 + 1.50 + 2.25 this equals $9.75find the value of x if log3 625=x
Given:
The equation is
\(\log_3625=x\)
To find:
The value of x.
Solution:
We have,
\(\log_3625=x\)
It can be written as
\(\log_3(5)^4=x\)
\(4\log_3(5)=x\) \([\because \log x^n=n\log x]\)
\(4\dfrac{\log (5)}{\log (3)}=x\) \([\because \log_ab=\dfrac{\log_xb}{\log_xa}]\)
\(4\times \dfrac{0.69897}{0.47712}=x\)
\(x\approx 5.8599\)
Therefore, the value of x is about 5.8599.
The world record for the most number of push-ups in 60 seconds is 140 push-ups. If the record holder completed the push-ups at a constant
ratio of seconds to push-ups, how many push-ups did he complete in 45 seconds?
Answer:
105
Step-by-step explanation:
60s--> 140
45s---> x
=60/45 = 140/x
=105
Answer:150
Step-by-step explanation:
im a baddie
A bucket begins holding 25 kgs of sand. The bucket is to be lifted to the top of a 15 meter tall building by a rope with density 0.4 kg/m. However, the bucket has a hole in it, and leaks 0.1 kgs of sand each meter it is lifted.
Find the work done lifting the bucket and rope to the top of the building. Use 9.8 m/s2 for gravity.A bucket begins holding 25 kgs of sand. The bucket is to be lifted to the top of a 15 meter tall building by a rope with density 0.4 kg/m. However, the bucket has a hole in it, and leaks 0.1 kgs of sand each meter it is lifted.
Thanks
Work done lifting the bucket and rope to the top of the building is 4005.75 Joules
What is work ?
To express this concept mathematically, the work W is equal to the force f times the distance d, or W = fd. If the force is being exerted at an angle θ to the displacement, the work done is W = fd cos θ.
Initially bucket hold = 25kg. Sand
Sand leaks 0.1 kgs each meter it is lifted
At height x meter bucket hold = (25 - 0.1x) kg of sand
Length of rope = 15 meter
density of rope = 0.4kg / meter
weight of rope = 15 (0.4) = 6kg.
At height x meter, weight of rope = (6 - 0.4x)
Total weight at height x meter = (25-0.1x) + (6-0.4x)
= (31 - 0.5x) kg
force = (31-0.5x) g Newtons. = [(31-0.5x) 9.8] Newton
Work = force × displacement
\(Work= \int_{0}^{15}9.8(31-0.5x)dx\)
\(=9.8[31x-0.5 \frac{x^2}{2} ]_{0}^{15}\)
\(=9.8[31(15)-0.25(15)^2]-0\)
\(=4005.75 joules\)
Hence, work done 4005.75 Joules
Learn more about the work and displacement here:
https://brainly.com/question/16149934
#SPJ1
which of the following is equal to \( \sqrt{ \sqrt[3]{2} } \)
Answer:
The equal expression is;
\(2^{\frac{1}{6}}\)Explanation:
Given the expression;
\(\sqrt[]{\sqrt[3]{2}}\)We can simplify the expression to find which of the given expression is similar to it.
\(\sqrt[]{\sqrt[3]{2}}=(\sqrt[3]{2})^{\frac{1}{2}}=(2^{\frac{1}{3}})^{\frac{1}{2}}\)Applying the laws of indices;
\((2^{\frac{1}{3}})^{\frac{1}{2}}=2^{\frac{1}{3}\times\frac{1}{2}}=2^{\frac{1}{6}}\)Therefore, the equal expression is;
\(2^{\frac{1}{6}}\)
If I invest $600 at an 11.5% interest rate, how much money will I earn over 5 years? A. $945 B. $345 C. $69 D. $34.50
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
Answer:
a
Step-by-step explanation:
How long is the wire supporting the sign? 1.5 ft Open 24/7 Oa. 1.5 +2= w; 3.5 ft Ob. 1.52 +w² = 2²; 1.3 ft Oc. 1.52 +22= w²; 6.3 ft Od. 1.52 +22= w²; 2.5 ft
The correct answer is option d. 1.5² +2²= w² ; 2.5 ft
Define the term right angle triangle?A triangle is said to have a right angle if one of its angles is 90 degrees. The "right angle" is this particular angle. The side opposite the right angle is called the hypotenuse, and it is always the longest side in a right angle triangle.
For the right angle triangle; the Pythagorean theorem is used to find the lengths of the sides of a right triangle. It states that:
Length² + Base² = Hypotenuse²
1.5² + 2² = w²
Simplify it;
w² = √6.25
w = 2.5 ft
Therefore the option d. 1.5² +2²= w² ; 2.5 ft
To know more about triangle, visit:
https://brainly.in/question/17424774
#SPJ1
The Pythagorean equation is used to determine the lengths of the sides of a right triangle, which has a right angle.
The correct answer is option d. 1.5² +2²= w² ; 2.5 ft
Define the term right angle triangle?If one of the angles in a triangle is 90 degrees, the triangle is said to have a right angle. The "right angle" is this particular orientation. The longest side in a right angle triangle is always the hypotenuse, also referred to as the side opposite the right angle.
The Pythagorean equation is used to determine the lengths of the sides of a right triangle, which has a right angle. In it, it is said:
Length² + Base² = Hypotenuse²
1.5² + 2² = w²
Simplify it;
w² = √6.25
w = 2.5 ft
Therefore the option d. 1.5² +2²= w² ; 2.5 ft
To know more about Pythagorean equation, visit:
https://brainly.com/question/29769496
#SPJ1
Simplify the expression C + -3c + -2 + -8
\(c-3c-2-8=-2c-10\)
Answer:
C−3c−10
Step-by-step explanation:
C+−3c+−2+−8
Subtract 8 from −2 to get −10.
C−3c−10
Eccentricity of eclipse
The equation of the ellipse is equal to x² / 9 + y² / 36 = 1.
How to derive the equation of the ellipse
In this problem we must determine the equation of an ellipse with vertices at point (0, - 6) and (0, 6) and with an eccentricity of 5 / 6. This can be done by means of the following expression:
(x - h)² / b² + (y - k)² / a² = 1
c = √(a² - b²)
Where:
(h, k) - Coordinates of the center. a - Length of the major semiaxis.b - Length of the minor semiaxis. c - Focal distance.First, determine the length of the minor semiaxis:
b = √(a² - c²)
b = √(6² - 5²)
b = √(36 - 25)
b = 3
Second, determine the coordinates of the ellipse by midpoint formula:
(h, k) = 0.5 · (0, - 6) + 0.5 · (0, 6)
(h, k) = (0, 0)
Third, write the equation of the ellipse:
x² / 9 + y² / 36 = 1
To learn more on ellipses: https://brainly.com/question/19507943
#SPJ1
Solve 5.408 − 1.07
pls answer
Answer: 4.338
Step-by-step explanation: Calculator
A group of students formed a circle during a game. The circumference of the circle was about 50.24 feet , and the diameter of the circle was 16 feet. Which expression. Best represents the value
A circle is a curve sketched out by a point moving in a plane. The expression that can describe the circumference and the diameter of the circle is 50.24ft = π16ft.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The circumference of the circle was about 50.24 feet, and the diameter of the circle was 16 feet. Therefore, the Expression can be written as,
50.24ft = π × 16ft
Hence, the expression that can describe the circumference and the diameter of the circle is 50.24ft = π16ft.
Learn more about Circle:
https://brainly.com/question/11833983
#SPJ1
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
,
,
The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3
How to determine the x-coordinates where the graphs of the equations intersect?From the question, we have the following parameters that can be used in our computation:
y = 2x
y = x² - 3
The x-coordinates where the graphs of the equations intersect is when both equations are equal
So, we have
x² - 3 = 2x
Rewrite the equation as
x² - 2x - 3 = 0
When the equation is factored, we have
(x + 1)(x - 3) = 0
So, we have
x = -1 and x = 3
Hence, the x-coordinates are x = -1 and x = 3
Read more about equations at
https://brainly.com/question/148035
#SPJ1
Question
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
y = 2x
y = x² - 3
PLEASE ANSWER IN ONE MINUTE WILL MARK BRAINLIST
Answer:
x=3
Step-by-step explanation:
x + 121 = 4x - 20 what is x
Answer:
x = 47
Step-by-step explanation:
x + 121 = 4x - 20
-3x + 121 = - 20
-3x = -141
x = 47
So, the answer is x = 47
I need a step by step explanation as well as work
Answer:
x = 2
m = 15/4
a = 5/4
Step-by-step explanation:
When the "base" lines are parallel, all of the triangles are similar. That means corresponding segments are proportional, including corresponding parts of segments.
We see that x corresponds to a partial segment marked 3. That same top-bottom correspondence has another pair of segments marked 2 and 3. That means x=2.
x/3 = 2/3 ⇒ x = 2
__
The segments marked 'm' and 'a' are "whole side" segments, so we need to put those in proportions with corresponding whole sides. If we use the bottom side, we find ...
a/3 = 5/(3+6+3) = 5/12 ⇒ a = 5/4 = 1 1/4 . . . . . multiply by 3
and
m/(6+3) = 5/12 ⇒ m = 15/4 = 3 3/4 . . . . . multiply by 9
__
x = 2
m = 15/4
a = 5/4
Find the value of x in the triangle shown below.
Answer:
x = 68
Step-by-step explanation:
Isoceles triangle
Properties
2 angles are the same = 56° and 56°
the 3rd angle is = x°
56 + 56 + x = 180
x = 68
Determine the domain of which the following function is increasing
Answer:
domain : - ∞ < x < 1
Step-by-step explanation:
the function is increasing on the upward part of the curve. that is
from negative infinity to the vertex at (1, 3 )
domain : - ∞ < x < 1
15
What time is it 2 hours and 35 minutes after 2:45 p.m.?
OA. 5:20 p.m.
OB. 4:20 p.m.
C. 5:47 p.m.
D. 4:47 p.m.
Reset
Submit
Answer:
The answer is 5:20 p.m
Step-by-step explanation:
2:45 to 3:45 is 1 hour. 3:45 to 4:45 is 2 hours and add 35 minutes is 5:20 p.m
Please anwser this is all the points I have :)
Check the picture below.
so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?
\(\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2\)
Answer: Large
Step-by-step explanation: Hope it helps Good luck!!!
) Quantifier negation.
Form the negation of the following statements. Then apply De Morgan’s law and/or conditional law, when
applicable. Negation should appear only within predicates, i.e., no negation should be outside a quantifier
or an expression involving logical connectives. Show all steps.
a) ∀x (P(x) ∧ R(x))
b) ∀y∃z(¬P(y) → Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
The negations of the given statements with the application of De Morgan's law and/or conditional law.
a) ∃x (¬P(x) ∨ ¬R(x))
De Morgan's law:
∃y ∀z(¬P(y) ∧ ¬Q(z))
b) ∃y ∀z(¬P(y) ∧ ¬Q(z))
The double negation:
∃y ¬∃z(P(y) ∨ Q(z))
c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))
The conditional law:
¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))
Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:
a) ∀x (P(x) ∧ R(x))
The negation of this statement is:
∃x ¬(P(x) ∧ R(x))
Now let's apply De Morgan's law:
∃x (¬P(x) ∨ ¬R(x))
b) ∀y∃z(¬P(y) → Q(z))
The negation of this statement is:
∃y ¬∃z(¬P(y) → Q(z))
Using the conditional law, we can rewrite the negation as:
∃y ¬∃z(¬¬P(y) ∨ Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
The negation of this statement is:
¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
Using the conditional law, we can rewrite the negation as:
¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))
Applying De Morgan's law:
¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))
Simplifying the double negation:
¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))
Using De Morgan's law again:
¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))
For similar questions on De Morgan's law
https://brainly.com/question/28735989
#SPJ8
what is the volume of the composite figure 16 7 3 5 3 6
The total volume of the composite figure is; 381 m³
How to find the volume of the composite figure?The formula for volume of a prism is;
V = Bh
where;
B is area of triangular base
h is height of prism
Thus;
V = (¹/₂ * 3 * 5) * 6
V = 45 m³
Volume of bottom cuboid is given by the formula;
V = Length * width * height
Thus;
V = 16 * 7 * 3
V = 336 m³
Total volume of composite figure = 45 m³ + 336 m³
Total volume of composite figure = 381 m³
Read more about Composite figure Volume at; https://brainly.com/question/13175744
#SPJ1
what is the area of the figure
Answer:
A = 2184 cm²
Step-by-step explanation:
the area (A) of the figure is calculated as
A = \(\frac{1}{2}\) h(b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
here h = 42 , b₁ = 52 , b₂ = 52 , then
A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²
Answer:
A = 2184 cm2
Step-by-step explanation:
Area of a parallelogram:
\(A = b*h\)
\(b=52,h=42\)
\(A=(42)(52)=2184cm^{2}\)
Hope this helps.
Can someone help with this? I don't understand how to find the answer
The plot below shows the amount of time Mira spent on
5
55 math problems.
All measurements are rounded to the nearest
1
4
4
1
start fraction, 1, divided by, 4, end fraction minute.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten. An unlabeled tick mark appears between each labeled tick mark. Dots are plotted as follows: 2 dots above the unlabeled tick mark between eight and eight and a half and 3 dots above nine and a half.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten.
If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?
If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.
In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.
Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:
The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.
There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.
There are 3 dots above the 9.5 minutes per problem tick mark.
Now, let's calculate the total time Mira spent:
(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.
Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.
for more such questions on amount
https://brainly.com/question/843074
#SPJ8
Today Olivia is carrying her history textbook and her lunch in her backpack. If the history textbook weighs 1/2 of a pound and her lunch weighs 2/3 of a pound, how much weight is in Olivia's backpack?
Weight is in Olivia's backpack is 5/6 pound.
As in the given problem olivia's history book weights 1/2 of a pound and
her lunch weighs 2/3 of a pound.
As both the units are same,
Thus total weight must be summation of both history book and her lunch box.
total weight is =1/2 +2/3 pound
= (3+2)/6
that is equal to 5/6 pound.
Learn more about summation here:
https://brainly.com/question/21021524
#SPJ4
How do you write 2.65 in words?
Answer: Two And Sixty-Five Hundredths
Step-by-step explanation: Try saying the numbers out loud. there are two different ways to say this like for example two point sixty-five,or two point six five . HOPE THIS HELPS!!!
a package of marbles contains 20 blue marbles, 38 red marbles, 48 green marbles, and 16 yellow marbles. which color of marbles can be divided evenly between 6 people?
the answer would be 48 green marbles
Step-by-step explanation:
48/6=8
So, each person would get 8 marbles each
Your taxable wages for Social Security purposes are $1100. How much is your Social Security tax if you have previous taxable wages of $102,000?
If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.
Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.
First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:
Social Security tax = $102,000 x 0.062 = $6,324
Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:
Social Security tax = $1,100 x 0.062 = $68.20
Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
For more such answers on Tax
https://brainly.com/question/28414951
#SPJ8
What is an example of "A one-to-one function of P onto Q is an isomorphism of P and Q "?
An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
How to Identify a One-to-One Function?An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).
Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.
Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.
Read more about One-to-One Function at: https://brainly.com/question/30563810
#SPJ1