Find each difference. Express your answer in lowest terms. $\frac { 4 } { 13 } - \left( \frac { - 7 } { 26 } \right)$

Find (a) the GCF and (b) the LCM of the following monomials. 14ab, 14bc, 21ac

Create a data set with 11 observations that has a median and third quartile of 80.

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. If an event is certain to occur, its probability is 1.

For the given expression, identify the terms, like terms, coefficients, and constant terms. Then simplify the expression. 10x + 7 + 3x

Multiply. Write each answer in simplest form. -1/7(-3/4)

Suppose angles A and B are a linear pair. Given the relationships below, find the measure of angles A and B. Round your answers to the nearest tenth of a degree. $m \angle A=4 x+16 ; m \angle B=5 x+10^{\circ}$

Iron corrodes to produce rust, $Fe_2O_3,$ but other corrosion products that can form are $Fe(O)(OH),$ iron oxyhydroxide, and magnetite, $Fe_3O_4.$ The oxidation number for Fe in magnetite was controversial for a long time. If we assume that oxygen's oxidation number is - 2, and Fe has a unique oxidation number, what is the oxidation number for Fe in magnetite?

A pair of sine curves with the same period is given. Sketch both curves on the same axes. $y_{1}=15 \sin \left(2 t-\frac{\pi}{3}\right); y_{2}=15 \sin \left(2 t-\frac{\pi}{6}\right)$

Evaluate each expression. 7+0.8=

Completa con el pretérito.

1. Yo BLANK que salir. (tener)
2. Nosotros no BLANK esperar más. (poder)
3. Él BLANK ir pero no BLANK. (querer, poder) 4.¿Cuánto tiempo BLANK ustedes allí? (estar)
4. Ellos BLANK juntos, ¿no? (venir)
5. ¿Por qué no BLANK tú la revista en la mochila? (poner)
6. Él no BLANK porque no BLANK vernos. (estar, querer)

Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject

$$H _ { 0 }$$

for the level of significance

$$\alpha$$

. Right-tailed test z = 2.46

$$\alpha = 0.01$$

Sketch a sinusoidal function that passes through (0, -4) and has a period of 20, an amplitude of 3, and an equation of the axis y = -1.

Convert the integral from rectangular coordinates to both cylindrical and spherical coordinates, and evaluate the simplest iterated integral. ∫_0^2∫_0^√4-x²∫_0^√16-x²-y² √x²+y² dz dy dx