After watching baking shows on T.V., Angie signs up for a cake-decorating class. To practice her new skills, she decorates a batch of cupcakes with sugar flowers. Angie puts 4 sugar flowers on each cupcake. In all, Angie puts 32 sugar flowers on the cupcakes.
Which equation can you use to find the number of cupcakes c Angie decorates?
Solve this equation for c to find the number of cupcakes Angie decorates.
Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.
To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.
4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.
To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8
Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8
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I need help with this ! Anything helps.
please help I don't get it NO LINKS or I'll report pls don't answer the question if u don't know
Answer:
1 person got 68 inches
4 persons got 69 inches
2 persons got 70 inches
3 persons got 74 inches
1 person got 76 inches
Please help
Thank yoy
Answer:
I think its graph 4
Step-by-step explanation:
Answer:
i believe is graph 1.
Step-by-step explanation:
If BCDE is congruent to OPQR, Then DE is congruent to what? A. QR B. PQ C. OP D. OR
If BCDE is congruent to OPQR, then DE is congruent to QR .
Congruence means the same point on two different shapes , like parallels
so BC is congruent to OP
and
DE is congruent to QR
In plain English, two objects are said to be congruent if they overlap, i.e., have the same size and shape. If two angles have the same measure, they are said to be congruent. They are congruent if the sides' lengths line up.
Two triangles are said to be congruent if their sides and angles are an exact match.
Conditions for Congruence of Triangles:
SSS (Side-Side-Side)SAS (Side-Angle-Side)ASA (Angle-Side-Angle)AAS (Angle-Angle-Side)RHS (Right angle-Hypotenuse-Side)To learn more about congruence
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Naomi's dining room is 7 yards wide and 7 yards long. Naomi wants to install wooden trim around the top of the room. The trim costs $9.00 per yard. How much will it cost Naomi to buy enough trim?
What is the range of the function shown on the graph
Answer:
-2<=y<=-7
Step-by-step explanation:
What's is the range 124 136 234 229 150
116 110 159 275 105
175 158 185 162 125
215 167 126 137 116
Answer:
the range is from 105 to 234
Step-by-step explanation:
Help asap 6th grade math
Answer:
I believe the answer is D.
\(\huge\boxed{Answer\hookleftarrow}\)
D
\(\huge\boxed{Explanation\hookleftarrow}\)
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which set of points lie on the given graph?
• (-3, 9), (-1, 5), (3, 3)
• (3, 9), (1, -5), (3, 3)
• (3, 9), (-1, 5), (3, 3)
• (-3, 9), (-1, 5), (3, -3)
Poppy gets semi-monthly paycheck of $2,375. What is her annual income?
Answer:
57,000
Step-by-step explanation:
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Please please help me with this i have 40 missing assignments, if you help YOUR AMAZING
The volume of the prisms are:
1. 432 yd³
2. 36in³
3. 252 m³
4. 240 ft³
5. 576 mm³
6. 144 cm³
7. 343 m³
8. 120 yd³
9. 150 in³
How to determine the volumeThe formula for calculating the volume of a rectangular prism is expressed as;
V = lwh
such that;
l is the lengthw is the widthh is the heightNow, substitute the value for each of the prisms, we have;
1. Volume = 6 × 6 ×12
Multiply
Volume = 432 yd³
2. Volume = 2 ×9 × 2
Multiply
Volume = 36in³
3. Volume = 9 × 4 × 7
Multiply
Volume = 252 m³
4. Volume = 10 × 8 × 3
Multiply
Volume = 240 ft³
5. Volume = 4 × 12 × 12
Multiply the values
Volume = 576 mm³
6. Volume = 6 × 8 × 3
Volume = 144 cm³
7. Volume = 7 × 7 ×7
Volume = 343 m³
8. Volume = 8 × 3 × 5
Volume = 120 yd³
9. Volume = 5 × 6 × 5
Volume = 150 in³
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What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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You earn $1,600 per pay period. Your deductions are $110, $66, and $14. What is your net pay?
Answer:
Your net pay is
\($1410\)
Step-by-step explanation:
All we have to do is add the deductions and then subtract them from what your earn.
\(1600 - (110 + 66 + 14) = \\ 1600 - 190 = 1410\)
(b) use and to determine when and are increasing and decreasing. then, find the intervals of for which the motion of the curve is up, down, right, and left in the -plane. (your answers below should be intervals of values.)
The method to find the increasing and decreasing interval is discussed below.
What is function?A function is a relation between a dependent and independent variable. Mathematically, we can write function as → y = f(x) = ax + b.Given is to determine the increasing and decreasing interval.
Since the function is not given, we can discuss the ways in which the increasing or decreasing intervals can be found. It is given as follows -
Increasing and decreasing intervals of real numbers are the real-valued functions that tend to increase and decrease with the change in the value of the dependent variable of the function. To find intervals of increase and decrease, you need to determine the first derivative of the function. This is done to find the sign of the function, whether negative or positive. The function interval is said to be positive if the value of the function f (x) increases with an increase in the value of x. In contrast, the function interval is said to be negative if the value of the function f (x) decreases with the increase in the value of x.Therefore, the method to find the increasing and decreasing interval is discussed above.
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I NEED HELP ASAP!! Determine which integer will make the inequality 12 > 2x + 4 true.
S:{8}
S:{4}
S:{12}
S:{−2}
The value x= -2 makes the inequality true.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
12 > 2x + 4
Now, if we put x= 8 then
= 2x+ 8
= 2(8)+8
= 16+ 8
= 24 > 12
So, x=8 is not true
Now, if we put x= 4 then
= 2x+ 8
= 2(4)+8
= 8+ 8
= 16 > 12
So, x=4 is not true
Now, if we put x= 12 then
= 2x+ 8
= 2(12 )+8
= 24 + 8
= 32 > 12
So, x=12 is not true
and, if we put x= -2 then
= 2x+ 8
= 2(-2)+8
= -4+ 8
= 4 < 12
So, x=-2 is true.
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What is the minimum sample size required to estimate a population mean with 90% confidence when the desired margin of error is 1.25
Complete Question
What is the minimum sample size required to estimate a population mean with 90% confidence when the desired margin of error is 1.25? The standard deviation in a pre-selected sample is 7.5
Answer:
The minimum sample size is \(n =97\)
Step-by-step explanation:
From the question we are told that
The margin of error is \(E = 1.25\)
The standard deviation is \(s = 7.5\)
Given that the confidence level is 90% then the level of significance is mathematically represented as
\(\alpha = 100 - 90\)
\(\alpha =10\%\)
\(\alpha =0.10\)
Next we obtain the critical value of \(\frac{\alpha }{2}\) from the normal distribution table
The value is \(Z_{\frac{ \alpha }{2} } = 1.645\)
The minimum sample size is mathematically evaluated as
\(n = \frac{Z_{\frac{\alpha }{2} * s^2 }}{E^2 }\)
=> \(n = \frac{1.645^2 * 7.5^2 }{1.25^2 }\)
=> \(n =97\)
PLEASE ANSWER FAST I HAVE TO SUBMIT THIS
Triangle XYZ ~ triangle JKL. Use the image to answer the question.
a triangle XYZ with side XY labeled 8.7, side XZ labeled 8.2, and side YZ labeled 7.8 and a second triangle JKL with side JK labeled 10.44
Determine the measurement of KL.
KL = 8.58
KL = 9.36
KL = 10.13
KL = 9.84
The value of KL for the similar triangle ∆JKL is derived to be equal to 10.92
How to evaluate the for the value of x for the triangle ∆JKL
The triangles XYZ and JKL are similar, this implies that the length XY of the smaller triangle is similar to the length JK of the larger triangle
similarly, YZ is similar to KL so;
8.7/12.18 = 7.8/KL
KL = (7.8 × 12.18)/8.7 {cross multiplication}
KL = 95.004/8.7
KL = 10.92
Therefore, the value of KL for the similar triangle ∆JKL is derived to be equal to 10.92.
Which of the following equations represents a linear function?
2x − 4 = 6
x = −2
y equals one half times x squared
y equals two thirds times x plus 4
Answer:
y equals 2/3 x plus 4 is correct.
The equation y= 1/3x + 4 represents a linear function.
What is Linear Equation?A linear function is a function that can be represented by a straight line. The equation of a linear function is typically in the form y = mx + b, where m represents the slope and b represents the y-intercept.
1. 2x − 4 = 6 is a linear equation, but it is not a function because it does not isolate y.
2. x = −2" represents a vertical line with a slope of infinity, but it does not have the form y = mx + b.
3. y = 1/2x² represents a quadratic function because it contains x raised to the power of 2.
4. y= 1/3x + 4 represents a linear function.
Therefore, the equation y= 1/3x + 4 represents a linear function.
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The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution.
[1 -5 -4
0 0 7]
A. X1 = - 4 + 5x2 X2 is free
B. (-4,7)
C. X1 = - 4 +5x2
X2=7
X3 is free
D. There is no solution.
Answer:
Option D (There is no solution) is the correct answer.
Step-by-step explanation:
According to the question, the matrix is:
⇒ \(\left[\begin{array}{ccc}1&-5&-4\\0&0&7\end{array}\right]\)
The linear equation will be:
⇒ \(x-5y=-4\)
and
⇒ \(0.x+0.y=7\)
i.e,
\(0=7\) (Not possible)
Thus the above given matrix has no solution. So the above is the correct option.
El valor de un automóvil se deprecia exponencialmente a razón de 8% cada 3 años. Si el automóvil se compró nuevo en $240 000 en 1998, plantea una fórmula para el valor del automóvil (V ) en función del tiempo t y utilízala para calcular el valor que tendrá en 2010.
La ecuación que vas a utilizar es :
El valor inicial es b . El factor de cambio es a =
La ecuación queda como: .
El año 2010 corresponde al valor t :
Al sustituirlo en la ecuación, tenemos que V (t) :
La ecuación que nos da el valor del auto t años despues de 1998 es:
V(t) = $240,000*(0.92)^t
El valor de el auto en el año 2010 será de $88,239.93
¿Como encontrar la ecuacion exponencial?
La ecuación exponencial general es:
f(x) = A*(b)^x
Donde A es el valor inicial, b es el factor de cambio, y x es la variable.
En este caso, sabemos que el automovil se compra por $240,000 en 1998, entonces definimos 1998 como el tiempo inicial, t = 0, y el valor inicial será:
A = $240,000
El factor de cambio depende de que tanto decae o aumenta el valor del auto por año, en este caso decae un 8% por año, entonces tendremos:
b = 1 - 8%/100% = 1 - 0.08 = 0.92
El factor de cambio es 0.92
Entonces la ecuación que nos da el valor del auto t años despues de 1998 es:
V(t) = $240,000*(0.92)^t
Particularmente, 2010 es 12 años luego de 1998, entonces t = 12.
V(12) = $240,000*(0.92)^12 = $88,239.93
El valor de el auto en el año 2010 será de $88,239.93
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Someone help
A)17/15
B)15/17
C)17
D)8/17
E)17/8
Answer:
B) 15/17
Step-by-step explanation:
You want the sine of acute angle A in the right triangle shown.
SineThe sine of the angle is the ratio ...
Sin = Opposite/Hypotenuse
We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)
The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.
CheckThe value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.
Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.
The sine of angle A is 15/17.
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A wedding tent is built in the shape of a right rectangular prism topped with a rectangular pyramid. The dimensions of the prism are 32 ft by 35 ft by 9 ft, and the height of the pyramid is 4 ft. Find the total volume of the tent. Round your answer to the nearest tenth if necessary. (Note: diagram is not drawn to scale.)
The total volume of the wedding tent is 14560 ft³.
To find the total volume of the wedding tent, we need to calculate the volume of both the rectangular prism and the rectangular pyramid, and then add them together.
The volume of a rectangular prism is given by the formula:
Volume_prism = length * width * height
In this case, the dimensions of the prism are 32 ft by 35 ft by 9 ft, so the volume of the prism is:
Volume_prism = 32 ft * 35 ft * 9 ft = 10080 ft³
The volume of a rectangular pyramid is given by the formula:
Volume_pyramid = (length * width * height) / 3
The dimensions of the top of the pyramid are the same as the base of the prism, so the length and width of the pyramid are both 32 ft. The height of the pyramid is 4 ft. Using these values, we can calculate the volume of the pyramid:
Volume_pyramid = (32 ft * 35 ft * 4 ft) / 3 = 4480 ft³
To find the total volume of the tent, we add the volume of the prism and the volume of the pyramid:
Total_volume = Volume_prism + Volume_pyramid
Total_volume = 10080 ft³ + 4480 ft³ = 14560 ft³
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is 31.43 a integer ?
The temperature inside a cooling unit is measured in degrees Celsius, C. Josh wants to find out how cold it is in degrees Fahrenheit, F. Solve the formula C = (F-32) for F so that Josh can convert Celsius to Fahrenheit.
To convert Celsius to Fahrenheit, Josh needs to use the formula; F = (9/5)C + 32
Let C represent the degrees Celsius and F represent the degrees Fahrenheit.
The relationship between C and F is given as:
C = (F-32) × 5/9
Hence to convert Celsius to Fahrenheit, we make F the subject of formula:
C = (F-32) × 5/9
9C/5 = (F-32)
F = (9/5)C + 32
To convert Celsius to Fahrenheit, Josh needs to use the formula; F = (9/5)C + 32
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Answer:
Step-by-step explanation: This is one of the most common examples given in math textbooks, and it's useful to know if you ever travel outside the U.S., or if you are from outside the U.S. and travel here.
C = 5/9 (F - 32)
9C = 5(F - 32)
9/5 C = F - 32
9/5 C + 32 = F
F = 9/5 C + 32
Determine if the two lines are parallel, perpendicular, or neither.
y=23x+5 y=32x+5
Answer:
neither
Step-by-step explanation:
Answer:
neither
Step-by-step explanation:
to be parallel you much have the same slope, so be perpendicular you must have the opposite reciprocal slope, and this has neither.
3. Avery records her rock-climbing progress and finds that her altitude, in kilometers above sea
level, can be represented by a linear model, A = 7+ 1.3t, where t is the number of hours since
Avery started climbing.
Based on this model, how many kilometers above sea level was Avery's altitude before she started
climbing?
km
Using the given linear function, it is found that Avery was 7 kilometers above sea level before she started climbing.
What is a linear function?A linear function is modeled by:
\(y = mx + b\)
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can be interpreted as the initial value.In this problem, her altitude in kilometers after t hours is modeled by:
A(t) = 7 + 1.3t.
The y-intercept is of b = 7, which means that Avery was 7 kilometers above sea level before she started climbing.
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Pls help I’ll brainlest and add extra points
Answer:
slope is -3
y intercept is 6
Step-by-step explanation:
The y intercept is where it crosses the y axis
It crosses the y axis at 6
We need two points to find the slope (0,6) and (2,0)
m = ( y2-y1)/(x2-x1)
= (0-6)/(2-0)
= -6/2
= -3
The slope is -3
For the given probability density function,find the area under the function within one standard deviation of the mean. f(x)=1/4x[1,2]
The area under the probability density function within one standard deviation of the mean is approximately 0.6826.
What is probability?
Probability is the measure of the likelihood of an event occurring. It is a numerical value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
The probability density function f(x) is defined as:
f(x) = 1/4x for 1 ≤ x ≤ 2
= 0 otherwise
To find the area under the function within one standard deviation of the mean, we first need to find the mean and standard deviation of the function.
The mean, or expected value, of a continuous probability density function is given by:
μ = ∫xf(x)dx
Substituting f(x) into the above formula, we get:
μ = ∫1² (1/4x) dx = (1/4)ln(2) ≈ 0.1733
Next, the variance of the probability density function is given by:
σ² = ∫(x-μ)²f(x)dx
Substituting f(x) and μ into the above formula, we get:
σ² = ∫1² [(x-0.1733)²/4x] dx ≈ 0.0396
The standard deviation is then given by:
σ = √(σ²) ≈ 0.1990
Within one standard deviation of the mean, the area under the probability density function is given by:
\($P(\mu-\sigma \leq x \leq \mu+\sigma) = \int_{\mu-\sigma}^{\mu+\sigma}f(x)dx$\)
Substituting μ and σ into the above formula, we get:
\($P(\mu-\sigma \leq x \leq \mu+\sigma) =\) \($\int_{0.1733-0.1990}^{0.1733+0.1990} \frac{1}{4x}\ dx$\)
P(μ-σ ≤ x ≤ μ+σ) ≈ 0.6826
Therefore, the area under the probability density function within one standard deviation of the mean is approximately 0.6826.
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