Answer:
q= 158
Step-by-step explanation:
expand and simply 3(2x+5) - 2(x-4)
Answer:
4x+7
Step-by-step explanation:
6x+15 - 2x-8
Combine like terms
6x-2x=4x
15-8 = 7
4x+7
Solve.
Question in a triangle, the measure of the first angle is four times the measure of the second
angle. The measure of the third angle is 78° more than the second angle. What is the
measure of the first angle?
17°
95°
68°
43°
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Answer:
The first angle is 68.
Step-by-step explanation:
[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]
So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]
Last month, Jason’s dog drank about 728 ounces of water and his cat
drank about 252 ounces of water.
If Jason’s dog continues to drink this amount, how many ounces of water will he have consumed after 6 months? Show your work in the box below.
Answer:
131,040
Step-by-step explaination:
There is around 29-31 days in a month, so if you just round it's around 30 days a month.
30×6= 180 (days)
180×728= 131,040 ounces
jasons dog would drink 131,040 in 6 months.
Question
2. Determine
the
acute
angle
between the planes
x - 2y + 5z = 3
2x + y - 3z = 15.
Distance of a plane from the origin:
Answer:
Acute angle between the two planes: approximately [tex]43^\circ[/tex].
Step-by-step explanation:
Find the normal vector of each plane:
The normal vector of the plane [tex]x - 2\, y + 5\, z = 3[/tex] is [tex]\displaystyle \begin{bmatrix}1 \\ -2 \\ 5\end{bmatrix}[/tex].The normal vector of the plane [tex]2\, x + y - 3\, z = 15[/tex] is [tex]\displaystyle \begin{bmatrix}2 \\ 1\\ -3\end{bmatrix}[/tex].As the name suggests, there is a [tex]90^\circ[/tex] angle between a plane and its normal vector. The following four angles will correspond to the vertices of a quadrilateral:
The [tex]90^\circ[/tex] angle between the first plane and its normal vector.The angle between the normal vector of each plane.The [tex]90^\circ[/tex] angle between the second plane and its normal vector.The smallest angle between these two planes.The sum of these four angles should be [tex]360^\circ[/tex]. Two of these four angles were known to be [tex]90^\circ[/tex]. Once the third angle (the angle between the two normal vectors) is found, subtractions would give the measure of the other angle (the smallest angle between these two planes.)
Make use of the dot product to find the angle between these two normal vectors. Let [tex]\theta[/tex] denote the angle between these two vectors.
[tex]\displaystyle \cos \theta = \frac{\begin{bmatrix}1 \\ -2 \\ 5\end{bmatrix} \cdot \begin{bmatrix}2 \\ 1 \\ -3\end{bmatrix}}{\sqrt{1^2 + (-2)^2 + 5^2} \cdot \sqrt{2^2 + 1^2 + (-3)^2}} \approx -0.73193[/tex].
Before continuing, notice that the smallest angle between the two planes would be [tex]360^\circ - 90^\circ - 90^\circ - \theta = 180^\circ - \theta[/tex].
Consider the identity: [tex]\cos\left(180^\circ - \theta\right) = -\cos \theta[/tex].
In other words, [tex]\cos\left(180^\circ - \theta\right)[/tex], the cosine of the smallest angle between the two planes (which the question is asking for) will be the opposite of [tex]\cos \theta[/tex], the cosine of the angle between the two normal vectors.
Therefore, the cosine of the smallest angle between the two planes will be [tex]-(-0.73193) = 0.73193[/tex].
Apply the inverse cosine function to find the size of that angle:
[tex]\arccos(0.73193) \approx 43^\circ[/tex].
Please help it would help a lot
Answer:
1/2
Step-by-step explanation:
Answer:
y÷x 1÷2=1/2 This is the answer.
1. What is the Potential Energy of a 6 kg object that is 10 m above the
ground?
FInd the area of the circle
Answer:
A = 12.56 m²
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASGeometry
Area of a Circle: A = πr²d = 2rStep-by-step explanation:
Step 1: Define
d = 4 m
Step 2: Find r
Substitute: 4 = 2rIsolate r: 2 = rRewrite: r = 2 mStep 3: Find Area
Substitute: A = π(2)²Substitute: A = (3.14)(2)²Evaluate: A = (3.14)(4)Multiply: A = 12.56 m²could someone please help me with #7 and #8?
Answer: I'm not sure If i'm right because I did this since 8th grade.
For number 7, I think it would be (the equation form)= 6 x + 16
For number 8, I think it would be nothing because there is no solution.
Hope this helps:)
Helpoooooooooooooooooooo
Answer:
1. x >/= -1
2. x < 4
3. x </= -1
4. x >/= -2
5. x < -3
6. x </= 7
Step-by-step explanation:
choices for the first select
∠7 or none of the angles
choices for the second select
is or is not
choices for the third select
is or is not
giving brainliest !!!!!
Answer:
1. None of the angles
2. Is not
3. Is not
Step-by-step explanation:
We can see if the triangles are congruent by ASA (angle, side, angle)
We find ∠F in DEF by 180-(64+78)=38 and 38 doesn't equal 39 so they are not congruent.
The animal shelter requires 1 pound of food for every 3 animals. This directly proportional relationship is represented by the equation y = (1/3)x, where x represents the number of animals and y represents pounds of food. If y varies directly with x, which graph represents the situation?
Answer:
It is the second graph.
Step-by-step explanation:
Can somebody help me with solve this question
Answer:
f⁻¹(y) = y^(-7/17)
Step-by-step explanation:
f(x) = x^(-17/7)
To find the inverse, switch x and y, and solve for y.
x = y^(-17/7)
x^(-7/17) = y
Therefore, f⁻¹(y) = y^(-7/17).
Jonas is concerned about the amount of water he uses to wash his laundry. he made a table to show the number of gallons of water used by different washing machines to complete of laundry. use variables to represent the independent and dependent shown in the table and Use variables to represent the dependent variable and the independent variable in this sentence
Table:
Type of Washing Machine:
Older top Loanding,
New Standar Model,
Energy Efficient,
Age of washing Machine (years):
(6,4,2)
and
Gallons Of Water:
(42,28,14)
I do not understand your answer
The exercise asks who are the independent and dependent variables
In the case of Jonas and his washing machine the independent variables are:
Type of Washing Machine.The dependent variables are:
Age of Washing Machine (years).Gallons of Water (42, 28, 14).Energy Efficient.What is an independent variable?The independent variable refers to all those variables that are tested experimentally, being manipulated by researchers in order to test a hypothesis.
Generally, the independent variable has the greatest influence on the result of the experiment, this means that it modifies all the dependent variables.
What is a dependent variable?The independent variable refers to the qualities or characteristics whose behavior is affected by the independent variable. It is about the variable or variables that are measured in order to be able to interpret the results and confirm or discard a hypothesis.
According to the above, it can be inferred that the independent variables in the case of Jonas are the type of washing machine because this variable will directly affect the other variables.
For example, depending on the type of washing machine Jonas uses, it will consume different amounts of energy and will need different amounts of water.
Learn more about variable in: https://brainly.com/question/1029540
There are 324 stitches sewn on 3 basketballs. Which equation finds the number of stitches, n, sewn on 1 basketball?
Answer: 108 stitches sewn on 1 basket ball
Step-by-step explanation:
324 divided by 3 would give you 108
Answer:
324/3=16
Step-by-step explanation:
324 divided by 3= 16
A -gallon [gal] quantity of molten (liquefied) plastic is going to be used to make a 1-foot [ft] by 8-inch [in] plastic block. If liters [L] of the plastic is lost in the manufacturing process, how thick is the final plastic block, in units of inches [in]?
Answer:
x = 1,77 in
Step-by-step explanation:
Total volume of molten plastic to make a block is
1 [gal] - 1 L (lost in the process) = 3,7854 - 1 = 2,7854
Now the volume of the block is:
1 foot * 8 inches * x ( thick of the block )
1 foot is 0,3048 meter and 1 inch is 0,0254 meter
Then in m³ the volume of the block is
0,3048 * 8 * 0,0254 * x = 0,06193536 * x [ m³ ]
That volume should be equal to 2,7854 / 1000
Therefore
0,06193536 * x = 2,7854 / 1000 x in m³
x = 2,7854 /61,93536 m
x = 0,044972 m and 1 m = 39,37 in
x = 1,77 in
A total of $5000 is invested: part at 5% and the remainder at 15%. How much is invested at each rate if the annual interest is $720?
Answer:
At 5% , $300 was invested
At 15%, $4,700 was invested
Step-by-step explanation:
Let the amount invested at 5% be $x and the amount invested at 15% be $y
x + y = 5000 ••••••(i)
Let’s work with the interest;
5% of x + 15% of y = 720
0.05x + 0.15y = 720 •••••(ii)
From i;
x = 5000-y
Insert this into ii
0.05(5000-y) + 0.15y = 720
= 250 - 0.05y + 0.15y = 720
250 + 0.1y = 720
0.1y = 720-250
0.1y = 470
y = 470/0.1
y = $4700
x = 5000-y
x = 5000-4700 = $300
Ima be doing this for the whole form sorry I’m failing math
Answer:
4,0 2,3 ans solutions this may help
1. Cuando compras un automóvil y lo sacas del concesionario, este comienza a
depreciar. Mira adquirió un automóvil por $18,645, y tiene un valor residual de
$1,950 y una vida útil de 7 años. ¿Cuál es el porcentaje de depreciación del costo de
auto por año? Indica si consideras que la oferta es conveniente para Mima y explica
tu respuesta
Identifica los datos y establece la relación entre estos.
b. Resuelve la relación, presentando el procedimiento y contesta la pregunta en
una oración completa.
El porcentaje de depreciación de la auto de Mira por año es del 12,79 %.
Cómo calcular el valor de depreciación del auto de Mira por año?Para calcular el valor de depreciación del auto de Mira debemos tener en cuenta la siguiente información:
Precio del auto nuevo: $18,645Precio residual de auto: $1,950Vida útil de auto: 7 años.De acuerdo a la información anterior, debemos calcular cual es la diferencia entre el precio nuevo y el precio residual.
$18,645 - $1,950 = $16,695Ahora, para saber el valor de depreciación por año dividimos este valor ($16,695) en 7.
$16,695 ÷ 7 = $2,385Por ultimo para saber el porcentaje de depreciación por año realizamos el siguiente procedimiento:
$18,645 ÷ 100 = $186.46$2,385 ÷ $186.46 = 12,79%Aprenda más de depreciación en: https://brainly.com/question/16933803
Do you guys know this
Answer:
18
Step-by-step explanation:
You solve the inner first, then move to the outer.
Let's take a look at g(x) first. It's stated that g(x) = [tex]x^2[/tex]. We plug in 3 for x and get 9 as the answer.
We then use this answer in f(x). The formula stated is f(x) = 2x. We plug in 9 for x and get 18.
Sharon has a new beaded necklace. 72 out of the 80 beads on the necklace are blue. What
percentage of beads on Sharon's necklace are blue?
Write your answer using a percent sign (%).
Answer:
90%
Step-by-step explanation:
Step 1:
72/80 = x /100 Proportion
Step 2:
80x = 7200 Multiply
Step 3:
x = 7200 ÷ 80 Divide
Answer:
90%
Hope This Helps :)
Answer:
Sharon bought a necklace with 90% blue beads.
Step-by-step explanation:
We are given that Sharon's necklace has 80 beads. We are also given that of those 80 beads, 72 of them are blue.
Therefore, we can set up a ratio of blue beads to total beads in order to find out the relationship.
[tex]\displaystyle \frac{72}{80}=\frac{36}{40}=\frac{18}{20}=\frac{9}{10}[/tex]
Then, using the fraction we receive as a result, we can convert this to a decimal.
[tex]\displaystyle \frac{9}{10} = 0.9[/tex]
After we complete this calculation, we can multiply our decimal by 100 in order to obtain the relationship in percentage form.
[tex]0.9 \times 100 = 90\%[/tex]
Of the 80 beads, 90% were blue beads.
Help Me!! Please. Its important
Answer:
answer to 3 is
Step-by-step explanation:
1 hour = 0.7
2 hours = 1.4
3 hours = 2.1
4 hours = 2.8
5 hours = 3.5
6 hours = 4.2
7 hours = 4.9
8 hours= 5.6
9 hours= 6.3
10 hours= 7.0
11 hours = 7.7
12 hours =8.4
Choose the solutions to the quadratic equation
x2 - 8x - 9 = 0.
-21
ex? - 8x = 9 to
-1
9
29
DONE
Write the slope-intercept form of the equation of the line described. Through (-2, -2) parallel to y = -2/7x -5
Answer: y= -2/7x-2
Step-by-step explanation:
To be parrell they have to have the same slope but different y intercepts.
so just put -2 so it will cross that point
Match the following.
Given A = (1, 2, 3, 4, 5) B = (2, 4, 6) C = (1, 3, 5)
Answer:
u have to put the pic of it then only we can understand this please put a pic
Write each mixed number as a percent: 7 3/10
Answer:
730%
Step-by-step explanation:
1) Fairview and Abbots Rise are 5 in apart on a map that has a scale of 1 in : 18 mi. How far apart are the real cities? 2) A particular satellite is 12 ft wide. A model of it was built with a scale of 1 in :3 ft. How wide is the model? Please help me I have 4 more questoins
Answer:
1) 90 mi
2) 4 inch
Step-by-step explanation:
1)
Given that the distance between Fairview and Abbots Rise on the map = 5 in
Scale of the map = 1 in: 18 mi
i.e. 1 inch on map is equivalent to an actual distance equal to 18 mi between the cities.
Given that the map has a distance of 5 inches.
Therefore, the actual distance between the cities = 5 [tex]\times[/tex] 18 = 90 mi
2) A particular satellite is 12 ft wide.
Model's scale = 1 in : 3 ft
i.e. 1 inch on map is equivalent to actual distance of 3 ft.
OR
3 ft of actual distance = 1 in on map
1 ft of actual distance = [tex]\frac{1}{3}[/tex] in on map
12 ft of actual distance = [tex]\frac{1}{3}\times 12 = \bold{4\ inch}[/tex]
Find the values of x and y that satisfy the equation.
- 12x + yi = 60 - 13i
The sum of two positive numbers is 37, and their difference is 7. If x and y represent the unknown numbers, which two
equations belong to the system of equations that represents this situation?
Answer:
C & D. check the image just in case the order changes
Step-by-step explanation:
A system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The sum of the two positive numbers is 37, and their difference is 7.
Let x and y be the numbers:
x > 0 and y > 0
x + y =37
x - y = 7
The above two equations represent the situation where the sum of two positive numbers is 37, and their difference is 7.
After solving the above equation by elimination method:
2x = 44
x = 22
22 - y = 7
y = 22 - 7
y = 15
Thus, a system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.
Learn more about the linear equation here:
brainly.com/question/11897796
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Which type of cloud is mostly made up of ice crystals? A. Altostratus B. Cirrus C. Cumulus D. Stratus
I know not math But please help
Answer:
The answer is B
Step-by-step explanation:
look it up on google.
Answer:
The answer is B
Mostly its of B but some clouds are also made up of cmulus(option C)
3 The lyy Hill Sunshine Club collected 524 cans for a canned food drive. The cans were then split up equally into 8 boxes. (a) Part A How many cans were in each box? Part B How many cans were left over after the boxes were filled? (b) А 65.5 cans < NEXT
Answer:
sorry I wish I could it help you but if you have any other question let me know