Answer: There are 4 more wrenches in the toolbox than the screwdrivers.
Step-by-step explanation: Add the 6 wrenches Sid put in the toolbox with the 8 wrenches Bella added to get 14 wrenches in total. Then, subtract the 10 screwdrivers from the 14 wrenches to get 4 wrenches.
Felipe and Samantha use a payment plan to buy musical instruments.felipe writes the equation y=-30x+290 to represent the amount owed y,after x payments.The graph shows how much Samantha owns after each payment Who will pay more each month
An equation is formed of two equal expressions. Felipe is paying $6 more each month.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation that represents Felipe's payment per month is given as y=-30+290, therefore, the amount that Felipe pays every month is the gradient of the line slope of the equation y=-30+290 which is 30.
Similarly, the graph showing Samantha's payment, the slope will be,
m = (y₂-y₁)/(x₂-x₁) = (240-0)/(0-10) = -24
Thus, we can conclude that Felipe is paying $6(30-24)more each month, because the amount paid by Felipe is 30, while the amount paid by Samantha is 24.
Hence, Felipe is paying $6 more each month.
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What is the exact value of
Answer:
4th option
Step-by-step explanation:
using the addition formula for cosine
cos(a - b) = cosacosb + sinasinb
note that 15° = (45 - 30)° , then
cos15°
= cos(45 - 30)°
= cos45°cos30° + sin45°sin30°
= ( [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) + ( [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] )
= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]
= [tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]
= [tex]\frac{\sqrt{2}+\sqrt{6} }{4}[/tex]
Answer:
[tex]\cos 15^{\circ}= \dfrac{\sqrt{2}+\sqrt{6}}{4}[/tex]
Step-by-step explanation:
Trig Identity:
[tex]\cos (A-B)=\cos A \cos B + \sin A \sin B[/tex]
[tex]\begin{aligned}\implies \cos 15^{\circ}=\cos (45^{\circ}-30^{\circ}) & =\cos 45^{\circ} \cos 30^{\circ} + \sin 45^{\circ} \sin 30^{\circ}\\\\& = \dfrac{\sqrt{2}}{2} \cdot \dfrac{\sqrt{3}}{2} + \dfrac{\sqrt{2}}{2} \cdot \dfrac{1}{2}\\\\& = \dfrac{\sqrt{2}\sqrt{3}}{2 \cdot 2}+\dfrac{\sqrt{2} \cdot 1}{2 \cdot 2}\\\\& = \dfrac{\sqrt{2\cdot 3}}{4}+\dfrac{\sqrt{2}}{4}\\\\& = \dfrac{\sqrt{6}+\sqrt{2}}{4}\\\\& = \dfrac{\sqrt{2}+\sqrt{6}}{4}\end{aligned}[/tex]
3. Figure CDEF is a parallelogram. Find the length of each side.
Answer:
de=30,fc=30,cd=22
Step-by-step explanation:
so r =5
6*5=30
10*5-20=30
2*5+12=22
so the only left is fe so cd=fe
fe=22
Please help 30 mins left
Using the dotplot and the difference in mean distances
from the samples, is there convincing evidence that
the new golf ball travels farther than the original golf
ball?
A company that manufactures golf balls produces a
new type of ball that is supposed to travel significantly
farther than the company's previous golf ball. To
determine this, 40 new-style golf balls and 40 original-
style golf balls are randomly selected from the
company's production line on a specific day. A golf pro
randomly selects a ball, not knowing which type is
chosen, and hits it. The difference in mean distances
traveled (new - original) for the samples was 4.9 feet
Assuming there is no difference in distance traveled
between the two types of golf balls, 200 simulated
differences in sample means are displayed in the
dotplot
Simulated Differences in
Mean Distances of Golf Balls
Yes, because a difference in mean distances of 4.9
feet or more occurred only 6 out of 200 times
meaning the difference is statistically significant and
there is convincing evidence the new golf ball
travels farther than the original golf ball.
Yes, because a difference in mean distances of 4.9
feet or less occurred 194 out of 200 times, meaning
the difference is statistically significant and there is
convincing evidence the new golf ball travels farther
than the original golf ball.
O No, because a difference in mean distances of 4.9
feet or more occurred 6 out of 200 times meaning
|
Answer: A. Yes, because a difference in mean distances of 4.9 feet or more occurred only 6 out of 200 times, meaning the difference is statistically significant and there is convincing evidence the new golf ball travels farther than the original golf ball.
Step-by-step explanation: took the test (look at the graph as well)
Which of the following sets of numbers is not a Pythagorean triple?
A: 5, 12, 13
B: 10, 15, 20
C: 7, 24, 25
D: 3, 4, 5
Find the Surface area?
Answer:
768 m²
Step-by-step explanation:
» Concepts
Surface area is the amount of area covered by the surface of an object. In a rectangular prism, the formula to find the TSA (total surface area) is [tex]2(wl+hl+hw)[/tex], where w = width, l = length, and h = height.
» Application
We are asked to find the surface area of a rectangular prism with a width of 14m, a length of 15m, and a height of 6m. Now, we have to apply the aforementioned formula using these measurements.
» Solution
[tex]2(14*15+6*15+6*14)[/tex] [tex]2(210+90+84)[/tex][tex]2(384)[/tex][tex]768[/tex]I need help with this question.
To complete the chart make sure you to determine the number of girls and boys in each belt category, and verify the total people.
What does this task requires?This requires you to complete the chart presented based on graph, a data chart, or similar.
How to complete the chart?Carefully read the graph or data chart.Start filling out each of the categories and find out the missing values. For example if there are 15 people with black belt and 8 are girls it can be concluded 7 people are boys.Add the total in each category and make sure these totals match the total people.Note: This question is incomplete; due to this, the answer is based on general knowledge.
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Hey circle has a diameter of 20.41 feet which measurement is closest to the circumference of a circle in feet?
Answer:
64.0874 or 20.41pi
Step-by-step explanation:
circumference = diameter x pi
C = D x pi
C = 20.41pi(lets say pi is 3.14)
C = 64.0874
What is the following sum?
If these equation.
[tex]4\left(\sqrt[5]{x^2 y} \right) +3 \left( \sqrt[5]{x^2 y} \right)\\\\=(4+3) \left( \sqrt[5]{x^2 y} \right)\\\\=7 \left( \sqrt[5]{x^2 y} \right)[/tex]
[tex]7(\sqrt[ 5 ]{ { x }^{ 2 } y })[/tex]
Step-by-step explanation:The equation:
[tex]4 \sqrt[ 5 ]{ { x }^{ 2 } y } +3 \sqrt[ 5 ]{ { x }^{ 2 } y } [/tex]
1) Collect like terms by adding their coefficients ( [tex]3[/tex] and [tex]4[/tex])
[tex](3+4)\sqrt[ 5 ]{ { x }^{ 2 } y }[/tex]
2) Calculate
[tex]7(\sqrt[ 5 ]{ { x }^{ 2 } y })[/tex]
The system of equations shown below is graphed on a coordinate grid:
3y + x = 6
2y − x = 9
Which statement is true about the coordinates of the point that is the solution to the system of equations? (5 points)
Hint: Add the two equations and use inverse operations. When you have your y-value, plug it into any of the original equations to find your x-value.
a
It is (−6, 4) and lies on both lines.
b
It is (−3, 3) and lies on both lines.
A rectangle has an area of 243 square centimeters. Its length is 3 times its width. What are the dimensions of the rectangle?
Length - 27 cm
Width - 9 cm
Step-by-step explanation:Here we go (hope this helps),
The area of the rectangle is 243. To get area, you do length x width. Your equation will look like this
3x (x) = 243
Simplify this using PEMDAS
3x^2 = 243
Next, you divide both sides by 3 to undo the times 3
x^2 = 81
Then, you take the square root of both sides to undo the squared symbol
x=9
Using this, you know the width is 9. Since the length is 3x the width, you know that 3 x 9 is 27 and you can clearly see that the dimensions are 9 and 27!
Have a great day! Hope this could help!What is the volume of the following rectangular prism? 4 units 2 1/8 units
the volume of the prism is simply the area of any of the sides times the length, so in this case the shaded area times 4.
[tex]\stackrel{area}{\left( 2\frac{1}{8} \right)}(\stackrel{length}{4})\implies \left( \cfrac{17}{8} \right)(4)\implies \cfrac{17}{2}\implies 8.5~units^3[/tex]
Answer: 8 1/2
Step-by-step explanation: Khan
An art teacher buys 128 boxes of markers. Each box holds 16 markers. How many total markers does the art teacher buy?
Answer:
2048 markers
Step-by-step explanation:
One box has 16 markers and the teacher buys 128 boxes, then total would be
128 boxes x (16 markers / 1 box) = 2048 markers
Which trigonometric function does the graph below represent?
Answer:
I believe it 2 cos(20 - ℼ/8) - 1 or 2 sin(20 + ℼ/4) - 1
Step-by-step explanation:
A car used 1/72 of a galloon of gas to drive 1/3 of a mile.At this rate,how many miles can the car travel using 1 galloon of gas?
Answer:
24
Step-by-step explanation:
3 x 1/72 = 1 mile
72/3 = 24
The car will use 1 gallon of gas per 24 miles
The side lengths of a triangle are 5,3, and 4. Is this a right triangle?
Answer:
YES
Step-by-step explanation:
as 5,3 and 4 are Pythagorean triplets, with 5 being C/the hypothenuse it would work as a right angled triangle.
3^2+4^2=c^2
9+16=c^2
25=c^2 c=5
Troy prepared 10 kilograms of dough after working 2 hours. How many hours did Troy work if
he prepared 25 kilograms of dough? Solve using unit rates.
Answer:
he worked 5 hours ..........
Answer:
5 hours
Step-by-step explanation:
to find unit rate:
10/2 which is 5
so 5 kg per hour
find for 25 kg:
25/5 which is 5.
so 5 hours.
The two tables give the number of pints of red and blue paint that are used to make different amounts of two shades of purple paint.
Purple #1 is made by mixing red and blue in a ratio of 1 : 2.
Purple #2 is made by mixing red and blue in a ratio of 1 : 3.
Use the drop-down menus to complete each sentence below.
The two highlighted rows show that for the same amount of blue, Purple #1 uses more red than Purple #2.
This means that Purple #1 is a redder shade of purple than Purple #2.
Purple #2 is a bluer shade of purple than Purple #1.
Step-by-step explanation:
The two highlighted rows show that for the same amount of blue, Purple #1 uses more red than Purple #2.
Making blue's quantity as 3 parts for purple #1 implies red part becomes 1.5 to maintain the ratio 1:2
Purple #1 has 1/3 parts red and 2/3 parts blue. Purple #2 has 1/4th part red and 3/4th part blue.
Hence, Purple #1 is a redder shade of purple than Purple #2.
From the above explanation, Purple #2 is a bluer shade of purple than Purple #1.
Sure hopes this helps you :)
//❀ ❀//
Use the following bond listing for Pacific Bell to answer the following:
Bonds
Cur. Yld. Vol Close
Net.Chg.
5 6.55
5.
1
1
PacBell 6- 34
99-
8
4 8
+一
How many bonds were traded during this session?
a.
34
b. 6.55
C. 5
d. 1
997
Answer:
D- 99 1/4 ; $992.50
Step-by-step explanation:
you use the list of bonds to eventually get D- 99 1/4
A party favor is made up of four equal solids and is constructed from paper. Each of the four solids is open at the end. The net represents one of the solids.
A net of a solid has a square base with side lengths of 2 inches, and 4 triangular sides with a height of 3 inches. B is the base, and C, D, and A are the triangular sides.
How much paper is needed to make a party favor?
Answer:
B, 12, 48.
Step-by-step explanation:
Hope this helped!
Complete the function table for the function y=(1/2)x+3
Answer:
76
U
768
Is just for fun heh brother
By rounding to one significant figure, estimate the answer to these questions:
Answer:
To have one significant figure means to have one number with a significant value. Since all of the answers are greater than one, the final answer with the correct sig figs involves using the two leftmost numbers. If the second leftmost number is greater than 5, round the leftmost number up one unit. If the number is less than 5, leave the leftmost number alone. Finally, change all of the values besides the leftmost to zero. There should be no decimal place because having it would mean the zeros to the left of the decimal place are significant.
29 x 31
-------------- = 3329.6 ------> 3,000
0.27
4.8 x 37
--------------- = 845.7 --------> 800
0.21
9.7 x 26
--------------- = 11463.6 -------> 10,000
0.022
If I have number that is prefixed, such as [tex]5[/tex] x [tex]10^{+5}[/tex]meters... will I prefix it to be 5Mm (mega meters) ???
Answer:
No.
Step-by-step explanation:
One megameter is [tex]10^6[/tex] meters. What you have shown is [tex]10^5.[/tex]
The cycle of a traffic light at an intersection of two streets is 50 seconds green, 6 seconds yellow, and 14 seconds red. If you reach the intersection at a random time, what is the probability that the light is red?
Answer:
the probability that the light is red would be 5 or 5%
Step-by-step explanation:
if we add all of the possible outcomes together like so :
50+6+14 we will get 70
now we know we want to find out the probabilty of it being red we need to divide 70 by 14 and we get 5 or 5% your welcome and me as a freind if you need more help or add me on messenger the 1 carlos is my name
Select the correct answer from each drop-down menu. Graph shows 3 polygons on a coordinate plane. First polygon is at A(1, 1), B(2, 3), C(4, 3), D(3, 1). Second polygon prime ABCD is translated 2 units down and reflected. Third polygon double prime ABCD translated 2 units to the left and reflected. The figure shows three parallelograms: ABCD, A′B′C′D′, and A″B″C″D″. Polygon ABCD is to create parallelogram A′B′C′D′. Polygon ABCD is to create parallelogram A″B″C″D″.
The transformation that took place is a horizontal stretch by a factor of 2
How to explain the transformation?We are given that Polygon ABCD transformed to create polygon A'B'C'D'. Clearly, the polygon is first a translation of the polygon ABCD 1 unit to the right and then it is horizontally stretched by a scale factor of 2.
Since the length of the polygon was earlier 2 units and then the length of the Polygon A'B'C'D' is 4 units. Hence, the transformation that took place in the Polygon ABCD is a horizontal stretch by a factor of 2
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Answer: A Horizontal Stretch by a Factor of 2
Step-by-step explanation:
Solve for the variable
5= 10/t + 3
Answer:
T=5
Step-by-step explanation:
5 -3 = 10/t
2 =10/t
2t = 10
T = 5
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Solve for the variable 5=10/t+3.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
When solving an equation, we need to make sure that all variables are on the left-hand side, and all numbers are on the right-hand side.
Since we have numbers on both sides, we need to move all numbers to the right:-
[tex]\bold{5=\dfrac{10}{t} +3}[/tex]
[tex]\bigstar[/tex] Subtract 5 on both sides:-
[tex]\bold{0=\dfrac{10}{t} +3-5}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\bold{0=\dfrac{10}{t} -2}[/tex]
[tex]\bigstar[/tex] Now, subtract 10/t on both sides:-
[tex]\bold{-\dfrac{10}{t} =-2}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\bold{\dfrac{10}{t} =2}[/tex]
[tex]\bigstar[/tex] Multiply by t on both sides:-
[tex]\bold{10=2t}[/tex]
[tex]\bold{2t=10}[/tex]
[tex]\bigstar[/tex] Divide by 2 on both sides:-
[tex]\bold{t=5}[/tex]
Good luck with your studies.[tex]\rule{300}{2}[/tex]
Claudia is making a candle by pouring melted wax into a mold in the shape of a cylinder. The radius of the cylinder’s base is 4 cm, and the height of the cylinder is 9 cm. To get the wax for the candle, Claudia melts cubes of wax that are each 3 cm by 3 cm by 3 cm. How many of the wax cubes will Claudia need to purchase to make the candle? (Note that Claudia is not able to purchase partial cubes). Show all your work.
17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Volume of cylinder = π * radius² * height
Volume = π * 4² * 9 cm = 452.16 cm³
Volume of the cube = 3 cm * 3 cm * 3 cm = 27 cm³
Number of cubes needed = 452.16 cm³ / 27 cm³ = 16.75
17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³
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Identify the values of coefficients a, b, and c in the quadratic equation x^2-2x+7=0
Answer:
a= +1
b= -2
c= +7
Step-by-step explanation:
a= coefficient of xX^2 = +1
b= coefficient of X = -2
c = the constant term= +7
Find the quotient of 213.21 and 15.8. Round your answer to the nearest tenth.
Answer:
13.5
Step-by-step explanation:
213.21÷15.8= 13.494
Rounded : 13.5
Please help me, 65 points to someone who can help me.
Answer:
x = -0.5 , x = -5.5Step-by-step explanation:
Solving
-4x² = 24x + 114x² + 24x + 11 = 04x² + 24x + 36 - 36 + 11 = 0(2x + 6)² - 25 = 0(2x + 6)² = 25⇒ 2x + 6 = ±5Case 1 : x = +5
2x + 6 = 52x = -1x = -1/2x = -0.5Case 2 : x = -5
2x + 6 = -52x = -11x = -11/2 x = -5.5